1,1,53,0,0.405209," ","integrate((e*x^2+d*x+c)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} e x^{2} + 15 \, b^{2} c - 10 \, a b d + 8 \, a^{2} e + {\left(5 \, b^{2} d - 4 \, a b e\right)} x\right)} \sqrt{b x + a}}{15 \, b^{3}}"," ",0,"2/15*(3*b^2*e*x^2 + 15*b^2*c - 10*a*b*d + 8*a^2*e + (5*b^2*d - 4*a*b*e)*x)*sqrt(b*x + a)/b^3","A",0
2,1,192,0,0.411870," ","integrate((e*x^2+d*x+c)^2/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(35 \, b^{4} e^{2} x^{4} + 315 \, b^{4} c^{2} - 420 \, a b^{3} c d + 168 \, a^{2} b^{2} d^{2} + 128 \, a^{4} e^{2} + 10 \, {\left(9 \, b^{4} d e - 4 \, a b^{3} e^{2}\right)} x^{3} + 3 \, {\left(21 \, b^{4} d^{2} + 16 \, a^{2} b^{2} e^{2} + 6 \, {\left(7 \, b^{4} c - 6 \, a b^{3} d\right)} e\right)} x^{2} + 48 \, {\left(7 \, a^{2} b^{2} c - 6 \, a^{3} b d\right)} e + 2 \, {\left(105 \, b^{4} c d - 42 \, a b^{3} d^{2} - 32 \, a^{3} b e^{2} - 12 \, {\left(7 \, a b^{3} c - 6 \, a^{2} b^{2} d\right)} e\right)} x\right)} \sqrt{b x + a}}{315 \, b^{5}}"," ",0,"2/315*(35*b^4*e^2*x^4 + 315*b^4*c^2 - 420*a*b^3*c*d + 168*a^2*b^2*d^2 + 128*a^4*e^2 + 10*(9*b^4*d*e - 4*a*b^3*e^2)*x^3 + 3*(21*b^4*d^2 + 16*a^2*b^2*e^2 + 6*(7*b^4*c - 6*a*b^3*d)*e)*x^2 + 48*(7*a^2*b^2*c - 6*a^3*b*d)*e + 2*(105*b^4*c*d - 42*a*b^3*d^2 - 32*a^3*b*e^2 - 12*(7*a*b^3*c - 6*a^2*b^2*d)*e)*x)*sqrt(b*x + a)/b^5","A",0
3,1,457,0,0.412527," ","integrate((e*x^2+d*x+c)^3/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(1155 \, b^{6} e^{3} x^{6} + 15015 \, b^{6} c^{3} - 30030 \, a b^{5} c^{2} d + 24024 \, a^{2} b^{4} c d^{2} - 6864 \, a^{3} b^{3} d^{3} + 5120 \, a^{6} e^{3} + 315 \, {\left(13 \, b^{6} d e^{2} - 4 \, a b^{5} e^{3}\right)} x^{5} + 35 \, {\left(143 \, b^{6} d^{2} e + 40 \, a^{2} b^{4} e^{3} + 13 \, {\left(11 \, b^{6} c - 10 \, a b^{5} d\right)} e^{2}\right)} x^{4} + 5 \, {\left(429 \, b^{6} d^{3} - 320 \, a^{3} b^{3} e^{3} - 104 \, {\left(11 \, a b^{5} c - 10 \, a^{2} b^{4} d\right)} e^{2} + 286 \, {\left(9 \, b^{6} c d - 4 \, a b^{5} d^{2}\right)} e\right)} x^{3} + 1664 \, {\left(11 \, a^{4} b^{2} c - 10 \, a^{5} b d\right)} e^{2} + 3 \, {\left(3003 \, b^{6} c d^{2} - 858 \, a b^{5} d^{3} + 640 \, a^{4} b^{2} e^{3} + 208 \, {\left(11 \, a^{2} b^{4} c - 10 \, a^{3} b^{3} d\right)} e^{2} + 143 \, {\left(21 \, b^{6} c^{2} - 36 \, a b^{5} c d + 16 \, a^{2} b^{4} d^{2}\right)} e\right)} x^{2} + 1144 \, {\left(21 \, a^{2} b^{4} c^{2} - 36 \, a^{3} b^{3} c d + 16 \, a^{4} b^{2} d^{2}\right)} e + {\left(15015 \, b^{6} c^{2} d - 12012 \, a b^{5} c d^{2} + 3432 \, a^{2} b^{4} d^{3} - 2560 \, a^{5} b e^{3} - 832 \, {\left(11 \, a^{3} b^{3} c - 10 \, a^{4} b^{2} d\right)} e^{2} - 572 \, {\left(21 \, a b^{5} c^{2} - 36 \, a^{2} b^{4} c d + 16 \, a^{3} b^{3} d^{2}\right)} e\right)} x\right)} \sqrt{b x + a}}{15015 \, b^{7}}"," ",0,"2/15015*(1155*b^6*e^3*x^6 + 15015*b^6*c^3 - 30030*a*b^5*c^2*d + 24024*a^2*b^4*c*d^2 - 6864*a^3*b^3*d^3 + 5120*a^6*e^3 + 315*(13*b^6*d*e^2 - 4*a*b^5*e^3)*x^5 + 35*(143*b^6*d^2*e + 40*a^2*b^4*e^3 + 13*(11*b^6*c - 10*a*b^5*d)*e^2)*x^4 + 5*(429*b^6*d^3 - 320*a^3*b^3*e^3 - 104*(11*a*b^5*c - 10*a^2*b^4*d)*e^2 + 286*(9*b^6*c*d - 4*a*b^5*d^2)*e)*x^3 + 1664*(11*a^4*b^2*c - 10*a^5*b*d)*e^2 + 3*(3003*b^6*c*d^2 - 858*a*b^5*d^3 + 640*a^4*b^2*e^3 + 208*(11*a^2*b^4*c - 10*a^3*b^3*d)*e^2 + 143*(21*b^6*c^2 - 36*a*b^5*c*d + 16*a^2*b^4*d^2)*e)*x^2 + 1144*(21*a^2*b^4*c^2 - 36*a^3*b^3*c*d + 16*a^4*b^2*d^2)*e + (15015*b^6*c^2*d - 12012*a*b^5*c*d^2 + 3432*a^2*b^4*d^3 - 2560*a^5*b*e^3 - 832*(11*a^3*b^3*c - 10*a^4*b^2*d)*e^2 - 572*(21*a*b^5*c^2 - 36*a^2*b^4*c*d + 16*a^3*b^3*d^2)*e)*x)*sqrt(b*x + a)/b^7","A",0
4,1,90,0,0.409558," ","integrate((f*x^3+e*x^2+d*x+c)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(15 \, b^{3} f x^{3} + 105 \, b^{3} c - 70 \, a b^{2} d + 56 \, a^{2} b e - 48 \, a^{3} f + 3 \, {\left(7 \, b^{3} e - 6 \, a b^{2} f\right)} x^{2} + {\left(35 \, b^{3} d - 28 \, a b^{2} e + 24 \, a^{2} b f\right)} x\right)} \sqrt{b x + a}}{105 \, b^{4}}"," ",0,"2/105*(15*b^3*f*x^3 + 105*b^3*c - 70*a*b^2*d + 56*a^2*b*e - 48*a^3*f + 3*(7*b^3*e - 6*a*b^2*f)*x^2 + (35*b^3*d - 28*a*b^2*e + 24*a^2*b*f)*x)*sqrt(b*x + a)/b^4","A",0
5,1,417,0,0.415387," ","integrate((f*x^3+e*x^2+d*x+c)^2/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3465 \, b^{6} f^{2} x^{6} + 45045 \, b^{6} c^{2} - 60060 \, a b^{5} c d + 24024 \, a^{2} b^{4} d^{2} + 18304 \, a^{4} b^{2} e^{2} + 15360 \, a^{6} f^{2} + 630 \, {\left(13 \, b^{6} e f - 6 \, a b^{5} f^{2}\right)} x^{5} + 35 \, {\left(143 \, b^{6} e^{2} + 120 \, a^{2} b^{4} f^{2} + 26 \, {\left(11 \, b^{6} d - 10 \, a b^{5} e\right)} f\right)} x^{4} + 10 \, {\left(1287 \, b^{6} d e - 572 \, a b^{5} e^{2} - 480 \, a^{3} b^{3} f^{2} + 13 \, {\left(99 \, b^{6} c - 88 \, a b^{5} d + 80 \, a^{2} b^{4} e\right)} f\right)} x^{3} + 3 \, {\left(3003 \, b^{6} d^{2} + 2288 \, a^{2} b^{4} e^{2} + 1920 \, a^{4} b^{2} f^{2} + 858 \, {\left(7 \, b^{6} c - 6 \, a b^{5} d\right)} e - 52 \, {\left(99 \, a b^{5} c - 88 \, a^{2} b^{4} d + 80 \, a^{3} b^{3} e\right)} f\right)} x^{2} + 6864 \, {\left(7 \, a^{2} b^{4} c - 6 \, a^{3} b^{3} d\right)} e - 416 \, {\left(99 \, a^{3} b^{3} c - 88 \, a^{4} b^{2} d + 80 \, a^{5} b e\right)} f + 2 \, {\left(15015 \, b^{6} c d - 6006 \, a b^{5} d^{2} - 4576 \, a^{3} b^{3} e^{2} - 3840 \, a^{5} b f^{2} - 1716 \, {\left(7 \, a b^{5} c - 6 \, a^{2} b^{4} d\right)} e + 104 \, {\left(99 \, a^{2} b^{4} c - 88 \, a^{3} b^{3} d + 80 \, a^{4} b^{2} e\right)} f\right)} x\right)} \sqrt{b x + a}}{45045 \, b^{7}}"," ",0,"2/45045*(3465*b^6*f^2*x^6 + 45045*b^6*c^2 - 60060*a*b^5*c*d + 24024*a^2*b^4*d^2 + 18304*a^4*b^2*e^2 + 15360*a^6*f^2 + 630*(13*b^6*e*f - 6*a*b^5*f^2)*x^5 + 35*(143*b^6*e^2 + 120*a^2*b^4*f^2 + 26*(11*b^6*d - 10*a*b^5*e)*f)*x^4 + 10*(1287*b^6*d*e - 572*a*b^5*e^2 - 480*a^3*b^3*f^2 + 13*(99*b^6*c - 88*a*b^5*d + 80*a^2*b^4*e)*f)*x^3 + 3*(3003*b^6*d^2 + 2288*a^2*b^4*e^2 + 1920*a^4*b^2*f^2 + 858*(7*b^6*c - 6*a*b^5*d)*e - 52*(99*a*b^5*c - 88*a^2*b^4*d + 80*a^3*b^3*e)*f)*x^2 + 6864*(7*a^2*b^4*c - 6*a^3*b^3*d)*e - 416*(99*a^3*b^3*c - 88*a^4*b^2*d + 80*a^5*b*e)*f + 2*(15015*b^6*c*d - 6006*a*b^5*d^2 - 4576*a^3*b^3*e^2 - 3840*a^5*b*f^2 - 1716*(7*a*b^5*c - 6*a^2*b^4*d)*e + 104*(99*a^2*b^4*c - 88*a^3*b^3*d + 80*a^4*b^2*e)*f)*x)*sqrt(b*x + a)/b^7","A",0
6,1,1221,0,0.419549," ","integrate((f*x^3+e*x^2+d*x+c)^3/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(255255 \, b^{9} f^{3} x^{9} + 4849845 \, b^{9} c^{3} - 9699690 \, a b^{8} c^{2} d + 7759752 \, a^{2} b^{7} c d^{2} - 2217072 \, a^{3} b^{6} d^{3} + 1653760 \, a^{6} b^{3} e^{3} - 1376256 \, a^{9} f^{3} + 45045 \, {\left(19 \, b^{9} e f^{2} - 6 \, a b^{8} f^{3}\right)} x^{8} + 3003 \, {\left(323 \, b^{9} e^{2} f + 96 \, a^{2} b^{7} f^{3} + 19 \, {\left(17 \, b^{9} d - 16 \, a b^{8} e\right)} f^{2}\right)} x^{7} + 231 \, {\left(1615 \, b^{9} e^{3} - 1344 \, a^{3} b^{6} f^{3} + 19 \, {\left(255 \, b^{9} c - 238 \, a b^{8} d + 224 \, a^{2} b^{7} e\right)} f^{2} + 646 \, {\left(15 \, b^{9} d e - 7 \, a b^{8} e^{2}\right)} f\right)} x^{6} + 63 \, {\left(20995 \, b^{9} d e^{2} - 6460 \, a b^{8} e^{3} + 5376 \, a^{4} b^{5} f^{3} - 76 \, {\left(255 \, a b^{8} c - 238 \, a^{2} b^{7} d + 224 \, a^{3} b^{6} e\right)} f^{2} + 323 \, {\left(65 \, b^{9} d^{2} + 56 \, a^{2} b^{7} e^{2} + 10 \, {\left(13 \, b^{9} c - 12 \, a b^{8} d\right)} e\right)} f\right)} x^{5} + 35 \, {\left(46189 \, b^{9} d^{2} e + 12920 \, a^{2} b^{7} e^{3} - 10752 \, a^{5} b^{4} f^{3} + 4199 \, {\left(11 \, b^{9} c - 10 \, a b^{8} d\right)} e^{2} + 152 \, {\left(255 \, a^{2} b^{7} c - 238 \, a^{3} b^{6} d + 224 \, a^{4} b^{5} e\right)} f^{2} + 646 \, {\left(143 \, b^{9} c d - 65 \, a b^{8} d^{2} - 56 \, a^{3} b^{6} e^{2} - 10 \, {\left(13 \, a b^{8} c - 12 \, a^{2} b^{7} d\right)} e\right)} f\right)} x^{4} + 5 \, {\left(138567 \, b^{9} d^{3} - 103360 \, a^{3} b^{6} e^{3} + 86016 \, a^{6} b^{3} f^{3} - 33592 \, {\left(11 \, a b^{8} c - 10 \, a^{2} b^{7} d\right)} e^{2} - 1216 \, {\left(255 \, a^{3} b^{6} c - 238 \, a^{4} b^{5} d + 224 \, a^{5} b^{4} e\right)} f^{2} + 92378 \, {\left(9 \, b^{9} c d - 4 \, a b^{8} d^{2}\right)} e + 323 \, {\left(1287 \, b^{9} c^{2} - 2288 \, a b^{8} c d + 1040 \, a^{2} b^{7} d^{2} + 896 \, a^{4} b^{5} e^{2} + 160 \, {\left(13 \, a^{2} b^{7} c - 12 \, a^{3} b^{6} d\right)} e\right)} f\right)} x^{3} + 537472 \, {\left(11 \, a^{4} b^{5} c - 10 \, a^{5} b^{4} d\right)} e^{2} + 19456 \, {\left(255 \, a^{6} b^{3} c - 238 \, a^{7} b^{2} d + 224 \, a^{8} b e\right)} f^{2} + 3 \, {\left(969969 \, b^{9} c d^{2} - 277134 \, a b^{8} d^{3} + 206720 \, a^{4} b^{5} e^{3} - 172032 \, a^{7} b^{2} f^{3} + 67184 \, {\left(11 \, a^{2} b^{7} c - 10 \, a^{3} b^{6} d\right)} e^{2} + 2432 \, {\left(255 \, a^{4} b^{5} c - 238 \, a^{5} b^{4} d + 224 \, a^{6} b^{3} e\right)} f^{2} + 46189 \, {\left(21 \, b^{9} c^{2} - 36 \, a b^{8} c d + 16 \, a^{2} b^{7} d^{2}\right)} e - 646 \, {\left(1287 \, a b^{8} c^{2} - 2288 \, a^{2} b^{7} c d + 1040 \, a^{3} b^{6} d^{2} + 896 \, a^{5} b^{4} e^{2} + 160 \, {\left(13 \, a^{3} b^{6} c - 12 \, a^{4} b^{5} d\right)} e\right)} f\right)} x^{2} + 369512 \, {\left(21 \, a^{2} b^{7} c^{2} - 36 \, a^{3} b^{6} c d + 16 \, a^{4} b^{5} d^{2}\right)} e - 5168 \, {\left(1287 \, a^{3} b^{6} c^{2} - 2288 \, a^{4} b^{5} c d + 1040 \, a^{5} b^{4} d^{2} + 896 \, a^{7} b^{2} e^{2} + 160 \, {\left(13 \, a^{5} b^{4} c - 12 \, a^{6} b^{3} d\right)} e\right)} f + {\left(4849845 \, b^{9} c^{2} d - 3879876 \, a b^{8} c d^{2} + 1108536 \, a^{2} b^{7} d^{3} - 826880 \, a^{5} b^{4} e^{3} + 688128 \, a^{8} b f^{3} - 268736 \, {\left(11 \, a^{3} b^{6} c - 10 \, a^{4} b^{5} d\right)} e^{2} - 9728 \, {\left(255 \, a^{5} b^{4} c - 238 \, a^{6} b^{3} d + 224 \, a^{7} b^{2} e\right)} f^{2} - 184756 \, {\left(21 \, a b^{8} c^{2} - 36 \, a^{2} b^{7} c d + 16 \, a^{3} b^{6} d^{2}\right)} e + 2584 \, {\left(1287 \, a^{2} b^{7} c^{2} - 2288 \, a^{3} b^{6} c d + 1040 \, a^{4} b^{5} d^{2} + 896 \, a^{6} b^{3} e^{2} + 160 \, {\left(13 \, a^{4} b^{5} c - 12 \, a^{5} b^{4} d\right)} e\right)} f\right)} x\right)} \sqrt{b x + a}}{4849845 \, b^{10}}"," ",0,"2/4849845*(255255*b^9*f^3*x^9 + 4849845*b^9*c^3 - 9699690*a*b^8*c^2*d + 7759752*a^2*b^7*c*d^2 - 2217072*a^3*b^6*d^3 + 1653760*a^6*b^3*e^3 - 1376256*a^9*f^3 + 45045*(19*b^9*e*f^2 - 6*a*b^8*f^3)*x^8 + 3003*(323*b^9*e^2*f + 96*a^2*b^7*f^3 + 19*(17*b^9*d - 16*a*b^8*e)*f^2)*x^7 + 231*(1615*b^9*e^3 - 1344*a^3*b^6*f^3 + 19*(255*b^9*c - 238*a*b^8*d + 224*a^2*b^7*e)*f^2 + 646*(15*b^9*d*e - 7*a*b^8*e^2)*f)*x^6 + 63*(20995*b^9*d*e^2 - 6460*a*b^8*e^3 + 5376*a^4*b^5*f^3 - 76*(255*a*b^8*c - 238*a^2*b^7*d + 224*a^3*b^6*e)*f^2 + 323*(65*b^9*d^2 + 56*a^2*b^7*e^2 + 10*(13*b^9*c - 12*a*b^8*d)*e)*f)*x^5 + 35*(46189*b^9*d^2*e + 12920*a^2*b^7*e^3 - 10752*a^5*b^4*f^3 + 4199*(11*b^9*c - 10*a*b^8*d)*e^2 + 152*(255*a^2*b^7*c - 238*a^3*b^6*d + 224*a^4*b^5*e)*f^2 + 646*(143*b^9*c*d - 65*a*b^8*d^2 - 56*a^3*b^6*e^2 - 10*(13*a*b^8*c - 12*a^2*b^7*d)*e)*f)*x^4 + 5*(138567*b^9*d^3 - 103360*a^3*b^6*e^3 + 86016*a^6*b^3*f^3 - 33592*(11*a*b^8*c - 10*a^2*b^7*d)*e^2 - 1216*(255*a^3*b^6*c - 238*a^4*b^5*d + 224*a^5*b^4*e)*f^2 + 92378*(9*b^9*c*d - 4*a*b^8*d^2)*e + 323*(1287*b^9*c^2 - 2288*a*b^8*c*d + 1040*a^2*b^7*d^2 + 896*a^4*b^5*e^2 + 160*(13*a^2*b^7*c - 12*a^3*b^6*d)*e)*f)*x^3 + 537472*(11*a^4*b^5*c - 10*a^5*b^4*d)*e^2 + 19456*(255*a^6*b^3*c - 238*a^7*b^2*d + 224*a^8*b*e)*f^2 + 3*(969969*b^9*c*d^2 - 277134*a*b^8*d^3 + 206720*a^4*b^5*e^3 - 172032*a^7*b^2*f^3 + 67184*(11*a^2*b^7*c - 10*a^3*b^6*d)*e^2 + 2432*(255*a^4*b^5*c - 238*a^5*b^4*d + 224*a^6*b^3*e)*f^2 + 46189*(21*b^9*c^2 - 36*a*b^8*c*d + 16*a^2*b^7*d^2)*e - 646*(1287*a*b^8*c^2 - 2288*a^2*b^7*c*d + 1040*a^3*b^6*d^2 + 896*a^5*b^4*e^2 + 160*(13*a^3*b^6*c - 12*a^4*b^5*d)*e)*f)*x^2 + 369512*(21*a^2*b^7*c^2 - 36*a^3*b^6*c*d + 16*a^4*b^5*d^2)*e - 5168*(1287*a^3*b^6*c^2 - 2288*a^4*b^5*c*d + 1040*a^5*b^4*d^2 + 896*a^7*b^2*e^2 + 160*(13*a^5*b^4*c - 12*a^6*b^3*d)*e)*f + (4849845*b^9*c^2*d - 3879876*a*b^8*c*d^2 + 1108536*a^2*b^7*d^3 - 826880*a^5*b^4*e^3 + 688128*a^8*b*f^3 - 268736*(11*a^3*b^6*c - 10*a^4*b^5*d)*e^2 - 9728*(255*a^5*b^4*c - 238*a^6*b^3*d + 224*a^7*b^2*e)*f^2 - 184756*(21*a*b^8*c^2 - 36*a^2*b^7*c*d + 16*a^3*b^6*d^2)*e + 2584*(1287*a^2*b^7*c^2 - 2288*a^3*b^6*c*d + 1040*a^4*b^5*d^2 + 896*a^6*b^3*e^2 + 160*(13*a^4*b^5*c - 12*a^5*b^4*d)*e)*f)*x)*sqrt(b*x + a)/b^10","A",0
7,1,1931,0,1.148320," ","integrate((d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","-\frac{1}{6} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b d - \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} a b c^{2} + 2 \, a c d^{2} + {\left(b c^{3} + a d^{3}\right)} x\right) + \frac{1}{12} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}} + 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, c d}{a b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b d + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} a b c^{2} - 2 \, a c d^{2} + 2 \, {\left(b c^{3} + a d^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b d + 2 \, a b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, c d}{a b}}\right) + \frac{1}{12} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}} - 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, c d}{a b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b d + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} a b c^{2} - 2 \, a c d^{2} + 2 \, {\left(b c^{3} + a d^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b d + 2 \, a b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, c d}{a b}}\right)"," ",0,"-1/6*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*log(1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a^2*b*d - 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*a*b*c^2 + 2*a*c*d^2 + (b*c^3 + a*d^3)*x) + 1/12*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)) + 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a*b + 16*c*d)/(a*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a^2*b*d + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*a*b*c^2 - 2*a*c*d^2 + 2*(b*c^3 + a*d^3)*x + 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*a^2*b*d + 2*a*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a*b + 16*c*d)/(a*b))) + 1/12*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)) - 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a*b + 16*c*d)/(a*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a^2*b*d + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*a*b*c^2 - 2*a*c*d^2 + 2*(b*c^3 + a*d^3)*x - 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*a^2*b*d + 2*a*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a*b + 16*c*d)/(a*b)))","C",0
8,1,2088,0,1.166131," ","integrate((d*x+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{12 \, d x^{2} - 2 \, {\left(a b x^{3} + a^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b d - 2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b c^{2} + 4 \, a c d^{2} + {\left(8 \, b c^{3} + a d^{3}\right)} x\right) + 12 \, c x + {\left({\left(a b x^{3} + a^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b x^{3} + a^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b d + 2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b c^{2} - 4 \, a c d^{2} + 2 \, {\left(8 \, b c^{3} + a d^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b d + 8 \, a^{2} b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right) + {\left({\left(a b x^{3} + a^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b x^{3} + a^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b d + 2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b c^{2} - 4 \, a c d^{2} + 2 \, {\left(8 \, b c^{3} + a d^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b d + 8 \, a^{2} b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right)}{36 \, {\left(a b x^{3} + a^{2}\right)}}"," ",0,"1/36*(12*d*x^2 - 2*(a*b*x^3 + a^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*log(1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^4*b*d - 2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^2*b*c^2 + 4*a*c*d^2 + (8*b*c^3 + a*d^3)*x) + 12*c*x + ((a*b*x^3 + a^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3))) + 3*sqrt(1/3)*(a*b*x^3 + a^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^4*b*d + 2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^2*b*c^2 - 4*a*c*d^2 + 2*(8*b*c^3 + a*d^3)*x + 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^4*b*d + 8*a^2*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b))) + ((a*b*x^3 + a^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3))) - 3*sqrt(1/3)*(a*b*x^3 + a^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^4*b*d + 2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^2*b*c^2 - 4*a*c*d^2 + 2*(8*b*c^3 + a*d^3)*x - 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^4*b*d + 8*a^2*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b))))/(a*b*x^3 + a^2)","C",0
9,1,2215,0,1.195163," ","integrate((d*x+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{24 \, b d x^{5} + 30 \, b c x^{4} + 42 \, a d x^{2} + 48 \, a c x - 2 \, {\left(a^{2} b^{2} x^{6} + 2 \, a^{3} b x^{3} + a^{4}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b d - \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{3} b c^{2} + 40 \, a c d^{2} + {\left(125 \, b c^{3} + 8 \, a d^{3}\right)} x\right) + {\left({\left(a^{2} b^{2} x^{6} + 2 \, a^{3} b x^{3} + a^{4}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{2} x^{6} + 2 \, a^{3} b x^{3} + a^{4}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b + 160 \, c d}{a^{5} b}}\right)} \log\left(-\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b d + \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{3} b c^{2} - 40 \, a c d^{2} + 2 \, {\left(125 \, b c^{3} + 8 \, a d^{3}\right)} x + \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{6} b d + 25 \, a^{3} b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b + 160 \, c d}{a^{5} b}}\right) + {\left({\left(a^{2} b^{2} x^{6} + 2 \, a^{3} b x^{3} + a^{4}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{2} x^{6} + 2 \, a^{3} b x^{3} + a^{4}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b + 160 \, c d}{a^{5} b}}\right)} \log\left(-\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b d + \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{3} b c^{2} - 40 \, a c d^{2} + 2 \, {\left(125 \, b c^{3} + 8 \, a d^{3}\right)} x - \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{6} b d + 25 \, a^{3} b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b + 160 \, c d}{a^{5} b}}\right)}{108 \, {\left(a^{2} b^{2} x^{6} + 2 \, a^{3} b x^{3} + a^{4}\right)}}"," ",0,"1/108*(24*b*d*x^5 + 30*b*c*x^4 + 42*a*d*x^2 + 48*a*c*x - 2*(a^2*b^2*x^6 + 2*a^3*b*x^3 + a^4)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*log(1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^6*b*d - 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*a^3*b*c^2 + 40*a*c*d^2 + (125*b*c^3 + 8*a*d^3)*x) + ((a^2*b^2*x^6 + 2*a^3*b*x^3 + a^4)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3))) + 3*sqrt(1/3)*(a^2*b^2*x^6 + 2*a^3*b*x^3 + a^4)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^5*b + 160*c*d)/(a^5*b)))*log(-1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^6*b*d + 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*a^3*b*c^2 - 40*a*c*d^2 + 2*(125*b*c^3 + 8*a*d^3)*x + 3/2*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*a^6*b*d + 25*a^3*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^5*b + 160*c*d)/(a^5*b))) + ((a^2*b^2*x^6 + 2*a^3*b*x^3 + a^4)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3))) - 3*sqrt(1/3)*(a^2*b^2*x^6 + 2*a^3*b*x^3 + a^4)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^5*b + 160*c*d)/(a^5*b)))*log(-1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^6*b*d + 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*a^3*b*c^2 - 40*a*c*d^2 + 2*(125*b*c^3 + 8*a*d^3)*x - 3/2*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*a^6*b*d + 25*a^3*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^5*b + 160*c*d)/(a^5*b))))/(a^2*b^2*x^6 + 2*a^3*b*x^3 + a^4)","C",0
10,1,2308,0,1.190591," ","integrate((d*x+c)/(b*x^3+a)^4,x, algorithm=""fricas"")","\frac{168 \, b^{2} d x^{8} + 240 \, b^{2} c x^{7} + 462 \, a b d x^{5} + 624 \, a b c x^{4} + 402 \, a^{2} d x^{2} + 492 \, a^{2} c x - 2 \, {\left(a^{3} b^{3} x^{9} + 3 \, a^{4} b^{2} x^{6} + 3 \, a^{5} b x^{3} + a^{6}\right)} {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{7}{4} \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{8} b d - 400 \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b c^{2} + 7840 \, a c d^{2} + 4 \, {\left(8000 \, b c^{3} + 343 \, a d^{3}\right)} x\right) + {\left({\left(a^{3} b^{3} x^{9} + 3 \, a^{4} b^{2} x^{6} + 3 \, a^{5} b x^{3} + a^{6}\right)} {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{3} x^{9} + 3 \, a^{4} b^{2} x^{6} + 3 \, a^{5} b x^{3} + a^{6}\right)} \sqrt{-\frac{{\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b + 8960 \, c d}{a^{7} b}}\right)} \log\left(-\frac{7}{4} \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{8} b d + 400 \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b c^{2} - 7840 \, a c d^{2} + 8 \, {\left(8000 \, b c^{3} + 343 \, a d^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{8} b d + 1600 \, a^{4} b c^{2}\right)} \sqrt{-\frac{{\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b + 8960 \, c d}{a^{7} b}}\right) + {\left({\left(a^{3} b^{3} x^{9} + 3 \, a^{4} b^{2} x^{6} + 3 \, a^{5} b x^{3} + a^{6}\right)} {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{3} x^{9} + 3 \, a^{4} b^{2} x^{6} + 3 \, a^{5} b x^{3} + a^{6}\right)} \sqrt{-\frac{{\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b + 8960 \, c d}{a^{7} b}}\right)} \log\left(-\frac{7}{4} \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{8} b d + 400 \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b c^{2} - 7840 \, a c d^{2} + 8 \, {\left(8000 \, b c^{3} + 343 \, a d^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{8} b d + 1600 \, a^{4} b c^{2}\right)} \sqrt{-\frac{{\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b + 8960 \, c d}{a^{7} b}}\right)}{972 \, {\left(a^{3} b^{3} x^{9} + 3 \, a^{4} b^{2} x^{6} + 3 \, a^{5} b x^{3} + a^{6}\right)}}"," ",0,"1/972*(168*b^2*d*x^8 + 240*b^2*c*x^7 + 462*a*b*d*x^5 + 624*a*b*c*x^4 + 402*a^2*d*x^2 + 492*a^2*c*x - 2*(a^3*b^3*x^9 + 3*a^4*b^2*x^6 + 3*a^5*b*x^3 + a^6)*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*log(7/4*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^8*b*d - 400*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*a^4*b*c^2 + 7840*a*c*d^2 + 4*(8000*b*c^3 + 343*a*d^3)*x) + ((a^3*b^3*x^9 + 3*a^4*b^2*x^6 + 3*a^5*b*x^3 + a^6)*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3))) + 3*sqrt(1/3)*(a^3*b^3*x^9 + 3*a^4*b^2*x^6 + 3*a^5*b*x^3 + a^6)*sqrt(-((4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^7*b + 8960*c*d)/(a^7*b)))*log(-7/4*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^8*b*d + 400*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*a^4*b*c^2 - 7840*a*c*d^2 + 8*(8000*b*c^3 + 343*a*d^3)*x + 3/4*sqrt(1/3)*(7*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*a^8*b*d + 1600*a^4*b*c^2)*sqrt(-((4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^7*b + 8960*c*d)/(a^7*b))) + ((a^3*b^3*x^9 + 3*a^4*b^2*x^6 + 3*a^5*b*x^3 + a^6)*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3))) - 3*sqrt(1/3)*(a^3*b^3*x^9 + 3*a^4*b^2*x^6 + 3*a^5*b*x^3 + a^6)*sqrt(-((4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^7*b + 8960*c*d)/(a^7*b)))*log(-7/4*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^8*b*d + 400*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*a^4*b*c^2 - 7840*a*c*d^2 + 8*(8000*b*c^3 + 343*a*d^3)*x - 3/4*sqrt(1/3)*(7*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*a^8*b*d + 1600*a^4*b*c^2)*sqrt(-((4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^7*b + 8960*c*d)/(a^7*b))))/(a^3*b^3*x^9 + 3*a^4*b^2*x^6 + 3*a^5*b*x^3 + a^6)","C",0
11,1,1961,0,1.186636," ","integrate((b*x+a)/(e*x^3+d),x, algorithm=""fricas"")","-\frac{1}{6} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} b d^{2} e - \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} d e + 2 \, a b^{2} d + {\left(b^{3} d + a^{3} e\right)} x\right) + \frac{1}{12} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}} + 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} d e + 16 \, a b}{d e}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} b d^{2} e + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} d e - 2 \, a b^{2} d + 2 \, {\left(b^{3} d + a^{3} e\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} b d^{2} e + 2 \, a^{2} d e\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} d e + 16 \, a b}{d e}}\right) + \frac{1}{12} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}} - 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} d e + 16 \, a b}{d e}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} b d^{2} e + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} d e - 2 \, a b^{2} d + 2 \, {\left(b^{3} d + a^{3} e\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} b d^{2} e + 2 \, a^{2} d e\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(\frac{b^{3} d + a^{3} e}{d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} d e + 16 \, a b}{d e}}\right)"," ",0,"-1/6*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*log(1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*b*d^2*e - 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*a^2*d*e + 2*a*b^2*d + (b^3*d + a^3*e)*x) + 1/12*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)) + 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*d*e + 16*a*b)/(d*e)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*b*d^2*e + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*a^2*d*e - 2*a*b^2*d + 2*(b^3*d + a^3*e)*x + 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*b*d^2*e + 2*a^2*d*e)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*d*e + 16*a*b)/(d*e))) + 1/12*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)) - 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*d*e + 16*a*b)/(d*e)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*b*d^2*e + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*a^2*d*e - 2*a*b^2*d + 2*(b^3*d + a^3*e)*x - 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*b*d^2*e + 2*a^2*d*e)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 2*(1/2)^(2/3)*a*b*(-I*sqrt(3) + 1)/(d*e*((b^3*d + a^3*e)/(d^2*e^2) - (b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*d*e + 16*a*b)/(d*e)))","C",0
12,1,1905,0,1.183341," ","integrate((b*x+a)/(-e*x^3+d),x, algorithm=""fricas"")","-\frac{1}{18} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{36} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} b d^{2} e - \frac{1}{6} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} d e - 2 \, a b^{2} d - {\left(b^{3} d - a^{3} e\right)} x\right) + \frac{1}{36} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} d e - 144 \, a b}{d e}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(-\frac{1}{36} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} b d^{2} e + \frac{1}{6} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} d e + 2 \, a b^{2} d - 2 \, {\left(b^{3} d - a^{3} e\right)} x + \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} b d^{2} e + 6 \, a^{2} d e\right)} \sqrt{-\frac{{\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} d e - 144 \, a b}{d e}}\right) + \frac{1}{36} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} - 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} d e - 144 \, a b}{d e}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(-\frac{1}{36} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} b d^{2} e + \frac{1}{6} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} d e + 2 \, a b^{2} d - 2 \, {\left(b^{3} d - a^{3} e\right)} x - \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)} b d^{2} e + 6 \, a^{2} d e\right)} \sqrt{-\frac{{\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}} + \frac{a b {\left(-i \, \sqrt{3} + 1\right)}}{d e {\left(-\frac{b^{3} d + a^{3} e}{54 \, d^{2} e^{2}} - \frac{b^{3} d - a^{3} e}{54 \, d^{2} e^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} d e - 144 \, a b}{d e}}\right)"," ",0,"-1/18*(9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*log(1/36*(9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*b*d^2*e - 1/6*(9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*a^2*d*e - 2*a*b^2*d - (b^3*d - a^3*e)*x) + 1/36*(9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + 3*sqrt(1/3)*sqrt(-((9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*d*e - 144*a*b)/(d*e)) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*log(-1/36*(9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*b*d^2*e + 1/6*(9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*a^2*d*e + 2*a*b^2*d - 2*(b^3*d - a^3*e)*x + 1/12*sqrt(1/3)*((9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*b*d^2*e + 6*a^2*d*e)*sqrt(-((9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*d*e - 144*a*b)/(d*e))) + 1/36*(9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) - 3*sqrt(1/3)*sqrt(-((9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*d*e - 144*a*b)/(d*e)) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*log(-1/36*(9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*b*d^2*e + 1/6*(9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*a^2*d*e + 2*a*b^2*d - 2*(b^3*d - a^3*e)*x - 1/12*sqrt(1/3)*((9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))*b*d^2*e + 6*a^2*d*e)*sqrt(-((9*(I*sqrt(3) + 1)*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3) + a*b*(-I*sqrt(3) + 1)/(d*e*(-1/54*(b^3*d + a^3*e)/(d^2*e^2) - 1/54*(b^3*d - a^3*e)/(d^2*e^2))^(1/3)))^2*d*e - 144*a*b)/(d*e)))","C",0
13,1,16,0,0.397326," ","integrate((1+x)/(x^3+1),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right)"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1))","A",0
14,1,16,0,0.405439," ","integrate((1-x)/(-x^3+1),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right)"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1))","A",0
15,1,16,0,0.400794," ","integrate((1+x)/(-x^3+1),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(x^{2} + x + 1\right) - \frac{2}{3} \, \log\left(x - 1\right)"," ",0,"1/3*log(x^2 + x + 1) - 2/3*log(x - 1)","A",0
16,1,18,0,0.400041," ","integrate((1-x)/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(x^{2} - x + 1\right) + \frac{2}{3} \, \log\left(x + 1\right)"," ",0,"-1/3*log(x^2 - x + 1) + 2/3*log(x + 1)","A",0
17,1,32,0,0.405271," ","integrate((3-x)/(-x^3+1),x, algorithm=""fricas"")","\frac{4}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{3} \, \log\left(x^{2} + x + 1\right) - \frac{2}{3} \, \log\left(x - 1\right)"," ",0,"4/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/3*log(x^2 + x + 1) - 2/3*log(x - 1)","A",0
18,1,28,0,0.406015," ","integrate((d*x+c)/(d^3*x^3+c^3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, d x - c\right)}}{3 \, c}\right)}{3 \, c d}"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*d*x - c)/c)/(c*d)","A",0
19,1,26,0,0.402198," ","integrate((-d*x+c)/(-d^3*x^3+c^3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, d x + c\right)}}{3 \, c}\right)}{3 \, c d}"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*d*x + c)/c)/(c*d)","A",0
20,1,107,0,0.449542," ","integrate((a^(1/3)*b^(1/3)*B+b^(2/3)*B*x)/(b*x^3+a),x, algorithm=""fricas"")","\left[\sqrt{\frac{1}{3}} B \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x^{3} - 3 \, a^{\frac{2}{3}} b^{\frac{1}{3}} x + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{\frac{2}{3}} b^{\frac{2}{3}} x^{2} + a b^{\frac{1}{3}} x - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - a}{b x^{3} + a}\right), \frac{2 \, \sqrt{\frac{1}{3}} B \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b^{\frac{1}{3}} x - a^{\frac{1}{3}}\right)}}{a^{\frac{1}{3}}}\right)}{a^{\frac{1}{3}}}\right]"," ",0,"[sqrt(1/3)*B*sqrt(-1/a^(2/3))*log((2*b*x^3 - 3*a^(2/3)*b^(1/3)*x + 3*sqrt(1/3)*(2*a^(2/3)*b^(2/3)*x^2 + a*b^(1/3)*x - a^(4/3))*sqrt(-1/a^(2/3)) - a)/(b*x^3 + a)), 2*sqrt(1/3)*B*arctan(sqrt(1/3)*(2*b^(1/3)*x - a^(1/3))/a^(1/3))/a^(1/3)]","A",0
21,1,114,0,0.454185," ","integrate((a^(1/3)*(-b)^(1/3)*B-(-b)^(2/3)*B*x)/(b*x^3+a),x, algorithm=""fricas"")","\left[\sqrt{\frac{1}{3}} B \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x^{3} + 3 \, a^{\frac{2}{3}} \left(-b\right)^{\frac{1}{3}} x - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{\frac{2}{3}} \left(-b\right)^{\frac{2}{3}} x^{2} - a \left(-b\right)^{\frac{1}{3}} x - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - a}{b x^{3} + a}\right), \frac{2 \, \sqrt{\frac{1}{3}} B \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-b\right)^{\frac{1}{3}} x + a^{\frac{1}{3}}\right)}}{a^{\frac{1}{3}}}\right)}{a^{\frac{1}{3}}}\right]"," ",0,"[sqrt(1/3)*B*sqrt(-1/a^(2/3))*log((2*b*x^3 + 3*a^(2/3)*(-b)^(1/3)*x - 3*sqrt(1/3)*(2*a^(2/3)*(-b)^(2/3)*x^2 - a*(-b)^(1/3)*x - a^(4/3))*sqrt(-1/a^(2/3)) - a)/(b*x^3 + a)), 2*sqrt(1/3)*B*arctan(sqrt(1/3)*(2*(-b)^(1/3)*x + a^(1/3))/a^(1/3))/a^(1/3)]","A",0
22,1,310,0,0.435450," ","integrate(-C*x^2/(b*x^3+a)+(C*x^2+B*x)/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} B a b \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + \left(-a b^{2}\right)^{\frac{2}{3}} B \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} B \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{6 \, a b^{2}}, \frac{6 \, \sqrt{\frac{1}{3}} B a b \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + \left(-a b^{2}\right)^{\frac{2}{3}} B \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} B \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{6 \, a b^{2}}\right]"," ",0,"[1/6*(3*sqrt(1/3)*B*a*b*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b + 3*sqrt(1/3)*(a*b*x + 2*(-a*b^2)^(2/3)*x^2 + (-a*b^2)^(1/3)*a)*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x)/(b*x^3 + a)) + (-a*b^2)^(2/3)*B*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 2*(-a*b^2)^(2/3)*B*log(b*x - (-a*b^2)^(1/3)))/(a*b^2), 1/6*(6*sqrt(1/3)*B*a*b*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + (-a*b^2)^(2/3)*B*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 2*(-a*b^2)^(2/3)*B*log(b*x - (-a*b^2)^(1/3)))/(a*b^2)]","A",0
23,1,305,0,0.431429," ","integrate(-C*x^2/(b*x^3+a)+(C*x^2+A)/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} A a b \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - \left(a^{2} b\right)^{\frac{2}{3}} A \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 2 \, \left(a^{2} b\right)^{\frac{2}{3}} A \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{6 \, a^{2} b}, \frac{6 \, \sqrt{\frac{1}{3}} A a b \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - \left(a^{2} b\right)^{\frac{2}{3}} A \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 2 \, \left(a^{2} b\right)^{\frac{2}{3}} A \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{6 \, a^{2} b}\right]"," ",0,"[1/6*(3*sqrt(1/3)*A*a*b*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x^3 - 3*(a^2*b)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^2 + (a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b))/(b*x^3 + a)) - (a^2*b)^(2/3)*A*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 2*(a^2*b)^(2/3)*A*log(a*b*x + (a^2*b)^(2/3)))/(a^2*b), 1/6*(6*sqrt(1/3)*A*a*b*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) - (a^2*b)^(2/3)*A*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 2*(a^2*b)^(2/3)*A*log(a*b*x + (a^2*b)^(2/3)))/(a^2*b)]","A",0
24,1,1961,0,1.180110," ","integrate(-C*x^2/(b*x^3+a)+(C*x^2+B*x+A)/(b*x^3+a),x, algorithm=""fricas"")","-\frac{1}{6} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} B a^{2} b - \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} A^{2} a b + 2 \, A B^{2} a + {\left(B^{3} a + A^{3} b\right)} x\right) + \frac{1}{12} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}} + 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, A B}{a b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} B a^{2} b + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} A^{2} a b - 2 \, A B^{2} a + 2 \, {\left(B^{3} a + A^{3} b\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} B a^{2} b + 2 \, A^{2} a b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, A B}{a b}}\right) + \frac{1}{12} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}} - 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, A B}{a b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} B a^{2} b + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} A^{2} a b - 2 \, A B^{2} a + 2 \, {\left(B^{3} a + A^{3} b\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} B a^{2} b + 2 \, A^{2} a b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} A B {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{B^{3} a + A^{3} b}{a^{2} b^{2}} - \frac{B^{3} a - A^{3} b}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, A B}{a b}}\right)"," ",0,"-1/6*((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))*log(1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))^2*B*a^2*b - 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))*A^2*a*b + 2*A*B^2*a + (B^3*a + A^3*b)*x) + 1/12*((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)) + 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))^2*a*b + 16*A*B)/(a*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))^2*B*a^2*b + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))*A^2*a*b - 2*A*B^2*a + 2*(B^3*a + A^3*b)*x + 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))*B*a^2*b + 2*A^2*a*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))^2*a*b + 16*A*B)/(a*b))) + 1/12*((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)) - 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))^2*a*b + 16*A*B)/(a*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))^2*B*a^2*b + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))*A^2*a*b - 2*A*B^2*a + 2*(B^3*a + A^3*b)*x - 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))*B*a^2*b + 2*A^2*a*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*A*B*(-I*sqrt(3) + 1)/(a*b*((B^3*a + A^3*b)/(a^2*b^2) - (B^3*a - A^3*b)/(a^2*b^2))^(1/3)))^2*a*b + 16*A*B)/(a*b)))","C",0
25,1,1043,0,1.205623," ","integrate((c*x^2+b*x)/(e*x^3+d),x, algorithm=""fricas"")","-\frac{12 \, \sqrt{\frac{1}{3}} e \sqrt{\frac{{\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)}^{2} e^{2} + 4 \, {\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)} c e + 4 \, c^{2}}{e^{2}}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left({\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)}^{2} d e^{2} + 4 \, {\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)} c d e - 8 \, b^{2} e x + 4 \, b^{2} e \sqrt{-\frac{{\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)}^{2} d e^{2} x - 4 \, b^{2} e x^{2} + 4 \, c^{2} d x - 4 \, b c d + 2 \, {\left(2 \, c d e x - b d e\right)} {\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)}}{b^{2} e}} + 4 \, c^{2} d\right)} \sqrt{\frac{{\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)}^{2} e^{2} + 4 \, {\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)} c e + 4 \, c^{2}}{e^{2}}}}{8 \, b^{3}}\right) + 2 \, {\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)} e \log\left(\frac{1}{4} \, {\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)}^{2} d e^{2} + {\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)} c d e + b^{2} e x + c^{2} d\right) - {\left({\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)} e + 6 \, c\right)} \log\left(-\frac{1}{4} \, {\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)}^{2} d e^{2} x + b^{2} e x^{2} - c^{2} d x + b c d - \frac{1}{2} \, {\left(2 \, c d e x - b d e\right)} {\left(3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{54 \, e^{3}} + \frac{b^{3}}{54 \, d e^{2}} + \frac{c^{3} d - b^{3} e}{54 \, d e^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{e}\right)}\right)}{12 \, e}"," ",0,"-1/12*(12*sqrt(1/3)*e*sqrt(((3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)^2*e^2 + 4*(3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)*c*e + 4*c^2)/e^2)*arctan(1/8*sqrt(1/3)*((3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)^2*d*e^2 + 4*(3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)*c*d*e - 8*b^2*e*x + 4*b^2*e*sqrt(-((3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)^2*d*e^2*x - 4*b^2*e*x^2 + 4*c^2*d*x - 4*b*c*d + 2*(2*c*d*e*x - b*d*e)*(3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e))/(b^2*e)) + 4*c^2*d)*sqrt(((3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)^2*e^2 + 4*(3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)*c*e + 4*c^2)/e^2)/b^3) + 2*(3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)*e*log(1/4*(3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)^2*d*e^2 + (3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)*c*d*e + b^2*e*x + c^2*d) - ((3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)*e + 6*c)*log(-1/4*(3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)^2*d*e^2*x + b^2*e*x^2 - c^2*d*x + b*c*d - 1/2*(2*c*d*e*x - b*d*e)*(3*(I*sqrt(3) + 1)*(-1/54*c^3/e^3 + 1/54*b^3/(d*e^2) + 1/54*(c^3*d - b^3*e)/(d*e^3))^(1/3) - 2*c/e)))/e","C",0
26,1,1267,0,1.187912," ","integrate((c*x^2+a)/(-e*x^3+d),x, algorithm=""fricas"")","\frac{12 \, \sqrt{\frac{1}{3}} e \sqrt{\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)}^{2} e^{2} - 4 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)} c e + 4 \, c^{2}}{e^{2}}} \arctan\left(-\frac{2 \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)} a d e^{2} - 2 \, a c d e\right)} \sqrt{\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)}^{2} e^{2} - 4 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)} c e + 4 \, c^{2}}{e^{2}}} \sqrt{\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)}^{2} d^{2} e^{2} + 4 \, a^{2} e^{2} x^{2} - 4 \, a c d e x + 4 \, c^{2} d^{2} + 2 \, {\left(a d e^{2} x - 2 \, c d^{2} e\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)}}{a^{2} e^{2}}} - \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)}^{2} d^{2} e^{2} - 8 \, a c d e x + 4 \, c^{2} d^{2} + 4 \, {\left(a d e^{2} x - c d^{2} e\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)}\right)} \sqrt{\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)}^{2} e^{2} - 4 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)} c e + 4 \, c^{2}}{e^{2}}}}{8 \, a^{3} e}\right) - 2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)} e \log\left(-\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)} d e + a e x + c d\right) + {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)} e - 6 \, c\right)} \log\left(\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)}^{2} d^{2} e^{2} + a^{2} e^{2} x^{2} - a c d e x + c^{2} d^{2} + \frac{1}{2} \, {\left(a d e^{2} x - 2 \, c d^{2} e\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{c^{3}}{e^{3}} + \frac{a^{3}}{d^{2} e} - \frac{c^{3} d^{2} + a^{3} e^{2}}{d^{2} e^{3}}\right)}^{\frac{1}{3}} + \frac{2 \, c}{e}\right)}\right)}{12 \, e}"," ",0,"1/12*(12*sqrt(1/3)*e*sqrt((((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)^2*e^2 - 4*((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)*c*e + 4*c^2)/e^2)*arctan(-1/8*(2*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)*a*d*e^2 - 2*a*c*d*e)*sqrt((((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)^2*e^2 - 4*((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)*c*e + 4*c^2)/e^2)*sqrt((((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)^2*d^2*e^2 + 4*a^2*e^2*x^2 - 4*a*c*d*e*x + 4*c^2*d^2 + 2*(a*d*e^2*x - 2*c*d^2*e)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e))/(a^2*e^2)) - sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)^2*d^2*e^2 - 8*a*c*d*e*x + 4*c^2*d^2 + 4*(a*d*e^2*x - c*d^2*e)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e))*sqrt((((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)^2*e^2 - 4*((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)*c*e + 4*c^2)/e^2))/(a^3*e)) - 2*((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)*e*log(-1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)*d*e + a*e*x + c*d) + (((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)*e - 6*c)*log(1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)^2*d^2*e^2 + a^2*e^2*x^2 - a*c*d*e*x + c^2*d^2 + 1/2*(a*d*e^2*x - 2*c*d^2*e)*((1/2)^(1/3)*(I*sqrt(3) + 1)*(c^3/e^3 + a^3/(d^2*e) - (c^3*d^2 + a^3*e^2)/(d^2*e^3))^(1/3) + 2*c/e)))/e","C",0
27,1,36,0,0.410376," ","integrate((b^2*x^2+2*a^2)/(b^3*x^3+a^3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, b x - a\right)}}{3 \, a}\right) + 3 \, \log\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(2*sqrt(3)*arctan(1/3*sqrt(3)*(2*b*x - a)/a) + 3*log(b*x + a))/b","A",0
28,1,36,0,0.409357," ","integrate((b^2*x^2+2*a^2)/(-b^3*x^3+a^3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, b x + a\right)}}{3 \, a}\right) - 3 \, \log\left(b x - a\right)}{3 \, b}"," ",0,"1/3*(2*sqrt(3)*arctan(1/3*sqrt(3)*(2*b*x + a)/a) - 3*log(b*x - a))/b","A",0
29,1,134,0,0.448723," ","integrate((8*C+b^(2/3)*C*x^2)/(b*x^3+8),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{1}{3}} C b \sqrt{-\frac{1}{b^{\frac{2}{3}}}} \log\left(\frac{b x^{3} + 6 \, \sqrt{\frac{1}{3}} {\left(b x^{2} + b^{\frac{2}{3}} x - 2 \, b^{\frac{1}{3}}\right)} \sqrt{-\frac{1}{b^{\frac{2}{3}}}} - 6 \, b^{\frac{1}{3}} x - 4}{b x^{3} + 8}\right) + C b^{\frac{2}{3}} \log\left(b x + 2 \, b^{\frac{2}{3}}\right)}{b}, \frac{2 \, \sqrt{\frac{1}{3}} C b^{\frac{2}{3}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(b^{\frac{2}{3}} x - b^{\frac{1}{3}}\right)}}{b^{\frac{1}{3}}}\right) + C b^{\frac{2}{3}} \log\left(b x + 2 \, b^{\frac{2}{3}}\right)}{b}\right]"," ",0,"[(sqrt(1/3)*C*b*sqrt(-1/b^(2/3))*log((b*x^3 + 6*sqrt(1/3)*(b*x^2 + b^(2/3)*x - 2*b^(1/3))*sqrt(-1/b^(2/3)) - 6*b^(1/3)*x - 4)/(b*x^3 + 8)) + C*b^(2/3)*log(b*x + 2*b^(2/3)))/b, (2*sqrt(1/3)*C*b^(2/3)*arctan(sqrt(1/3)*(b^(2/3)*x - b^(1/3))/b^(1/3)) + C*b^(2/3)*log(b*x + 2*b^(2/3)))/b]","A",0
30,1,40,0,0.426199," ","integrate((a^(2/3)*C+2*C*x^2)/(8*x^3+a),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} C \arctan\left(\frac{4 \, \sqrt{3} a^{\frac{2}{3}} x - \sqrt{3} a}{3 \, a}\right) + \frac{1}{4} \, C \log\left(2 \, x + a^{\frac{1}{3}}\right)"," ",0,"1/6*sqrt(3)*C*arctan(1/3*(4*sqrt(3)*a^(2/3)*x - sqrt(3)*a)/a) + 1/4*C*log(2*x + a^(1/3))","A",0
31,1,182,0,0.447658," ","integrate((8*C+(-b)^(2/3)*C*x^2)/(b*x^3-8),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{1}{3}} C b \sqrt{\frac{\left(-b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{b x^{3} - 6 \, \sqrt{\frac{1}{3}} {\left(b x^{2} - \left(-b\right)^{\frac{2}{3}} x + 2 \, \left(-b\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(-b\right)^{\frac{1}{3}}}{b}} + 6 \, \left(-b\right)^{\frac{1}{3}} x + 4}{b x^{3} - 8}\right) + C \left(-b\right)^{\frac{2}{3}} \log\left(b x - 2 \, \left(-b\right)^{\frac{2}{3}}\right)}{b}, -\frac{2 \, \sqrt{\frac{1}{3}} C b \sqrt{-\frac{\left(-b\right)^{\frac{1}{3}}}{b}} \arctan\left(\sqrt{\frac{1}{3}} {\left(\left(-b\right)^{\frac{2}{3}} x - \left(-b\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-b\right)^{\frac{1}{3}}}{b}}\right) - C \left(-b\right)^{\frac{2}{3}} \log\left(b x - 2 \, \left(-b\right)^{\frac{2}{3}}\right)}{b}\right]"," ",0,"[(sqrt(1/3)*C*b*sqrt((-b)^(1/3)/b)*log((b*x^3 - 6*sqrt(1/3)*(b*x^2 - (-b)^(2/3)*x + 2*(-b)^(1/3))*sqrt((-b)^(1/3)/b) + 6*(-b)^(1/3)*x + 4)/(b*x^3 - 8)) + C*(-b)^(2/3)*log(b*x - 2*(-b)^(2/3)))/b, -(2*sqrt(1/3)*C*b*sqrt(-(-b)^(1/3)/b)*arctan(sqrt(1/3)*((-b)^(2/3)*x - (-b)^(1/3))*sqrt(-(-b)^(1/3)/b)) - C*(-b)^(2/3)*log(b*x - 2*(-b)^(2/3)))/b]","A",0
32,1,43,0,0.430224," ","integrate(((-a)^(2/3)*C+2*C*x^2)/(-8*x^3+a),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} C \arctan\left(\frac{4 \, \sqrt{3} \left(-a\right)^{\frac{2}{3}} x + \sqrt{3} a}{3 \, a}\right) - \frac{1}{4} \, C \log\left(2 \, x + \left(-a\right)^{\frac{1}{3}}\right)"," ",0,"1/6*sqrt(3)*C*arctan(1/3*(4*sqrt(3)*(-a)^(2/3)*x + sqrt(3)*a)/a) - 1/4*C*log(2*x + (-a)^(1/3))","A",0
33,1,52,0,0.430972," ","integrate((2*(a/b)^(2/3)*C+C*x^2)/(b*x^3+a),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} C \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) + 3 \, C \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b}"," ",0,"1/3*(2*sqrt(3)*C*arctan(1/3*(2*sqrt(3)*b*x*(a/b)^(2/3) - sqrt(3)*a)/a) + 3*C*log(x + (a/b)^(1/3)))/b","A",0
34,1,53,0,0.425135," ","integrate((2*(-a/b)^(2/3)*C+C*x^2)/(-b*x^3+a),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} C \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a}{b}\right)^{\frac{2}{3}} + \sqrt{3} a}{3 \, a}\right) - 3 \, C \log\left(x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b}"," ",0,"1/3*(2*sqrt(3)*C*arctan(1/3*(2*sqrt(3)*b*x*(-a/b)^(2/3) + sqrt(3)*a)/a) - 3*C*log(x + (-a/b)^(1/3)))/b","A",0
35,1,56,0,0.432327," ","integrate((2*(-a/b)^(2/3)*C+C*x^2)/(b*x^3+a),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} C \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) + 3 \, C \log\left(x - \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b}"," ",0,"1/3*(2*sqrt(3)*C*arctan(1/3*(2*sqrt(3)*b*x*(-a/b)^(2/3) - sqrt(3)*a)/a) + 3*C*log(x - (-a/b)^(1/3)))/b","A",0
36,1,53,0,0.430340," ","integrate((2*(a/b)^(2/3)*C+C*x^2)/(-b*x^3+a),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} C \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a}{b}\right)^{\frac{2}{3}} + \sqrt{3} a}{3 \, a}\right) - 3 \, C \log\left(x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b}"," ",0,"1/3*(2*sqrt(3)*C*arctan(1/3*(2*sqrt(3)*b*x*(a/b)^(2/3) + sqrt(3)*a)/a) - 3*C*log(x - (a/b)^(1/3)))/b","A",0
37,1,160,0,0.455938," ","integrate((2*a^(2/3)*C+b^(2/3)*C*x^2)/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{1}{3}} C b \sqrt{-\frac{1}{b^{\frac{2}{3}}}} \log\left(\frac{2 \, b x^{3} - 3 \, a^{\frac{2}{3}} b^{\frac{1}{3}} x + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{\frac{1}{3}} b x^{2} + a^{\frac{2}{3}} b^{\frac{2}{3}} x - a b^{\frac{1}{3}}\right)} \sqrt{-\frac{1}{b^{\frac{2}{3}}}} - a}{b x^{3} + a}\right) + C b^{\frac{2}{3}} \log\left(b x + a^{\frac{1}{3}} b^{\frac{2}{3}}\right)}{b}, \frac{2 \, \sqrt{\frac{1}{3}} C b^{\frac{2}{3}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, a^{\frac{2}{3}} b^{\frac{2}{3}} x - a b^{\frac{1}{3}}\right)}}{a b^{\frac{1}{3}}}\right) + C b^{\frac{2}{3}} \log\left(b x + a^{\frac{1}{3}} b^{\frac{2}{3}}\right)}{b}\right]"," ",0,"[(sqrt(1/3)*C*b*sqrt(-1/b^(2/3))*log((2*b*x^3 - 3*a^(2/3)*b^(1/3)*x + 3*sqrt(1/3)*(2*a^(1/3)*b*x^2 + a^(2/3)*b^(2/3)*x - a*b^(1/3))*sqrt(-1/b^(2/3)) - a)/(b*x^3 + a)) + C*b^(2/3)*log(b*x + a^(1/3)*b^(2/3)))/b, (2*sqrt(1/3)*C*b^(2/3)*arctan(sqrt(1/3)*(2*a^(2/3)*b^(2/3)*x - a*b^(1/3))/(a*b^(1/3))) + C*b^(2/3)*log(b*x + a^(1/3)*b^(2/3)))/b]","A",0
38,1,205,0,0.447448," ","integrate((-2*a^(2/3)*C-(-b)^(2/3)*C*x^2)/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{1}{3}} C b \sqrt{\frac{\left(-b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, b x^{3} + 3 \, a^{\frac{2}{3}} \left(-b\right)^{\frac{1}{3}} x - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{\frac{1}{3}} b x^{2} + a^{\frac{2}{3}} \left(-b\right)^{\frac{2}{3}} x + a \left(-b\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(-b\right)^{\frac{1}{3}}}{b}} - a}{b x^{3} + a}\right) - C \left(-b\right)^{\frac{2}{3}} \log\left(b x + a^{\frac{1}{3}} \left(-b\right)^{\frac{2}{3}}\right)}{b}, -\frac{2 \, \sqrt{\frac{1}{3}} C b \sqrt{-\frac{\left(-b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, a^{\frac{2}{3}} \left(-b\right)^{\frac{2}{3}} x + a \left(-b\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-b\right)^{\frac{1}{3}}}{b}}}{a}\right) + C \left(-b\right)^{\frac{2}{3}} \log\left(b x + a^{\frac{1}{3}} \left(-b\right)^{\frac{2}{3}}\right)}{b}\right]"," ",0,"[(sqrt(1/3)*C*b*sqrt((-b)^(1/3)/b)*log((2*b*x^3 + 3*a^(2/3)*(-b)^(1/3)*x - 3*sqrt(1/3)*(2*a^(1/3)*b*x^2 + a^(2/3)*(-b)^(2/3)*x + a*(-b)^(1/3))*sqrt((-b)^(1/3)/b) - a)/(b*x^3 + a)) - C*(-b)^(2/3)*log(b*x + a^(1/3)*(-b)^(2/3)))/b, -(2*sqrt(1/3)*C*b*sqrt(-(-b)^(1/3)/b)*arctan(sqrt(1/3)*(2*a^(2/3)*(-b)^(2/3)*x + a*(-b)^(1/3))*sqrt(-(-b)^(1/3)/b)/a) + C*(-b)^(2/3)*log(b*x + a^(1/3)*(-b)^(2/3)))/b]","A",0
39,1,31,0,0.428076," ","integrate((x^2-3)/(x^3-1),x, algorithm=""fricas"")","\sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{5}{6} \, \log\left(x^{2} + x + 1\right) - \frac{2}{3} \, \log\left(x - 1\right)"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 5/6*log(x^2 + x + 1) - 2/3*log(x - 1)","A",0
40,1,430,0,3.299375," ","integrate((a^(1/3)*b^(1/3)*B+2*a^(2/3)*C+b^(2/3)*B*x+b^(2/3)*C*x^2)/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{1}{3}} b \sqrt{-\frac{C^{2} a b^{\frac{1}{3}} + 2 \, B C a^{\frac{2}{3}} b^{\frac{2}{3}} + B^{2} a^{\frac{1}{3}} b}{a b}} \log\left(-\frac{C^{3} a^{2} + B^{3} a b - 2 \, {\left(C^{3} a b + B^{3} b^{2}\right)} x^{3} + 3 \, {\left(C^{3} a + B^{3} b\right)} a^{\frac{2}{3}} b^{\frac{1}{3}} x - 3 \, \sqrt{\frac{1}{3}} {\left({\left(2 \, B^{2} b x^{2} + C^{2} a x + B C a\right)} a^{\frac{2}{3}} b^{\frac{2}{3}} + {\left(2 \, C^{2} a b x^{2} - B C a b x - B^{2} a b\right)} a^{\frac{1}{3}} - {\left(2 \, B C a b x^{2} - B^{2} a b x + C^{2} a^{2}\right)} b^{\frac{1}{3}}\right)} \sqrt{-\frac{C^{2} a b^{\frac{1}{3}} + 2 \, B C a^{\frac{2}{3}} b^{\frac{2}{3}} + B^{2} a^{\frac{1}{3}} b}{a b}}}{b x^{3} + a}\right) + C b^{\frac{2}{3}} \log\left(b x + a^{\frac{1}{3}} b^{\frac{2}{3}}\right)}{b}, \frac{2 \, \sqrt{\frac{1}{3}} b \sqrt{\frac{C^{2} a b^{\frac{1}{3}} + 2 \, B C a^{\frac{2}{3}} b^{\frac{2}{3}} + B^{2} a^{\frac{1}{3}} b}{a b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left({\left(2 \, C^{2} x + B C\right)} a^{\frac{2}{3}} b^{\frac{2}{3}} - {\left(2 \, B C b x + B^{2} b\right)} a^{\frac{1}{3}} + {\left(2 \, B^{2} b x - C^{2} a\right)} b^{\frac{1}{3}}\right)} \sqrt{\frac{C^{2} a b^{\frac{1}{3}} + 2 \, B C a^{\frac{2}{3}} b^{\frac{2}{3}} + B^{2} a^{\frac{1}{3}} b}{a b}}}{C^{3} a + B^{3} b}\right) + C b^{\frac{2}{3}} \log\left(b x + a^{\frac{1}{3}} b^{\frac{2}{3}}\right)}{b}\right]"," ",0,"[(sqrt(1/3)*b*sqrt(-(C^2*a*b^(1/3) + 2*B*C*a^(2/3)*b^(2/3) + B^2*a^(1/3)*b)/(a*b))*log(-(C^3*a^2 + B^3*a*b - 2*(C^3*a*b + B^3*b^2)*x^3 + 3*(C^3*a + B^3*b)*a^(2/3)*b^(1/3)*x - 3*sqrt(1/3)*((2*B^2*b*x^2 + C^2*a*x + B*C*a)*a^(2/3)*b^(2/3) + (2*C^2*a*b*x^2 - B*C*a*b*x - B^2*a*b)*a^(1/3) - (2*B*C*a*b*x^2 - B^2*a*b*x + C^2*a^2)*b^(1/3))*sqrt(-(C^2*a*b^(1/3) + 2*B*C*a^(2/3)*b^(2/3) + B^2*a^(1/3)*b)/(a*b)))/(b*x^3 + a)) + C*b^(2/3)*log(b*x + a^(1/3)*b^(2/3)))/b, (2*sqrt(1/3)*b*sqrt((C^2*a*b^(1/3) + 2*B*C*a^(2/3)*b^(2/3) + B^2*a^(1/3)*b)/(a*b))*arctan(sqrt(1/3)*((2*C^2*x + B*C)*a^(2/3)*b^(2/3) - (2*B*C*b*x + B^2*b)*a^(1/3) + (2*B^2*b*x - C^2*a)*b^(1/3))*sqrt((C^2*a*b^(1/3) + 2*B*C*a^(2/3)*b^(2/3) + B^2*a^(1/3)*b)/(a*b))/(C^3*a + B^3*b)) + C*b^(2/3)*log(b*x + a^(1/3)*b^(2/3)))/b]","B",0
41,1,470,0,2.717842," ","integrate((a^(1/3)*(-b)^(1/3)*B-2*a^(2/3)*C-(-b)^(2/3)*B*x-(-b)^(2/3)*C*x^2)/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{1}{3}} b \sqrt{\frac{C^{2} a \left(-b\right)^{\frac{1}{3}} - 2 \, B C a^{\frac{2}{3}} \left(-b\right)^{\frac{2}{3}} - B^{2} a^{\frac{1}{3}} b}{a b}} \log\left(-\frac{C^{3} a^{2} + B^{3} a b - 2 \, {\left(C^{3} a b + B^{3} b^{2}\right)} x^{3} - 3 \, {\left(C^{3} a + B^{3} b\right)} a^{\frac{2}{3}} \left(-b\right)^{\frac{1}{3}} x + 3 \, \sqrt{\frac{1}{3}} {\left({\left(2 \, B^{2} b x^{2} + C^{2} a x + B C a\right)} a^{\frac{2}{3}} \left(-b\right)^{\frac{2}{3}} + {\left(2 \, C^{2} a b x^{2} - B C a b x - B^{2} a b\right)} a^{\frac{1}{3}} + {\left(2 \, B C a b x^{2} - B^{2} a b x + C^{2} a^{2}\right)} \left(-b\right)^{\frac{1}{3}}\right)} \sqrt{\frac{C^{2} a \left(-b\right)^{\frac{1}{3}} - 2 \, B C a^{\frac{2}{3}} \left(-b\right)^{\frac{2}{3}} - B^{2} a^{\frac{1}{3}} b}{a b}}}{b x^{3} + a}\right) - C \left(-b\right)^{\frac{2}{3}} \log\left(b x + a^{\frac{1}{3}} \left(-b\right)^{\frac{2}{3}}\right)}{b}, -\frac{2 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{C^{2} a \left(-b\right)^{\frac{1}{3}} - 2 \, B C a^{\frac{2}{3}} \left(-b\right)^{\frac{2}{3}} - B^{2} a^{\frac{1}{3}} b}{a b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left({\left(2 \, C^{2} x + B C\right)} a^{\frac{2}{3}} \left(-b\right)^{\frac{2}{3}} - {\left(2 \, B C b x + B^{2} b\right)} a^{\frac{1}{3}} - {\left(2 \, B^{2} b x - C^{2} a\right)} \left(-b\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{C^{2} a \left(-b\right)^{\frac{1}{3}} - 2 \, B C a^{\frac{2}{3}} \left(-b\right)^{\frac{2}{3}} - B^{2} a^{\frac{1}{3}} b}{a b}}}{C^{3} a + B^{3} b}\right) + C \left(-b\right)^{\frac{2}{3}} \log\left(b x + a^{\frac{1}{3}} \left(-b\right)^{\frac{2}{3}}\right)}{b}\right]"," ",0,"[(sqrt(1/3)*b*sqrt((C^2*a*(-b)^(1/3) - 2*B*C*a^(2/3)*(-b)^(2/3) - B^2*a^(1/3)*b)/(a*b))*log(-(C^3*a^2 + B^3*a*b - 2*(C^3*a*b + B^3*b^2)*x^3 - 3*(C^3*a + B^3*b)*a^(2/3)*(-b)^(1/3)*x + 3*sqrt(1/3)*((2*B^2*b*x^2 + C^2*a*x + B*C*a)*a^(2/3)*(-b)^(2/3) + (2*C^2*a*b*x^2 - B*C*a*b*x - B^2*a*b)*a^(1/3) + (2*B*C*a*b*x^2 - B^2*a*b*x + C^2*a^2)*(-b)^(1/3))*sqrt((C^2*a*(-b)^(1/3) - 2*B*C*a^(2/3)*(-b)^(2/3) - B^2*a^(1/3)*b)/(a*b)))/(b*x^3 + a)) - C*(-b)^(2/3)*log(b*x + a^(1/3)*(-b)^(2/3)))/b, -(2*sqrt(1/3)*b*sqrt(-(C^2*a*(-b)^(1/3) - 2*B*C*a^(2/3)*(-b)^(2/3) - B^2*a^(1/3)*b)/(a*b))*arctan(sqrt(1/3)*((2*C^2*x + B*C)*a^(2/3)*(-b)^(2/3) - (2*B*C*b*x + B^2*b)*a^(1/3) - (2*B^2*b*x - C^2*a)*(-b)^(1/3))*sqrt(-(C^2*a*(-b)^(1/3) - 2*B*C*a^(2/3)*(-b)^(2/3) - B^2*a^(1/3)*b)/(a*b))/(C^3*a + B^3*b)) + C*(-b)^(2/3)*log(b*x + a^(1/3)*(-b)^(2/3)))/b]","B",0
42,1,12,0,0.392041," ","integrate((C^2*x^2+B*C*x+B^2)/(C^3*x^3-B^3),x, algorithm=""fricas"")","\frac{\log\left(C x - B\right)}{C}"," ",0,"log(C*x - B)/C","A",0
43,1,17,0,0.421395," ","integrate((a^(2/3)*C-a^(1/3)*b^(1/3)*C*x+b^(2/3)*C*x^2)/(b*x^3+a),x, algorithm=""fricas"")","\frac{C \log\left(b x + a^{\frac{1}{3}} b^{\frac{2}{3}}\right)}{b^{\frac{1}{3}}}"," ",0,"C*log(b*x + a^(1/3)*b^(2/3))/b^(1/3)","A",0
44,1,429,0,1.857016," ","integrate(((a/b)^(1/3)*B+2*(a/b)^(2/3)*C+B*x+C*x^2)/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{C \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right) + \sqrt{\frac{1}{3}} \sqrt{-\frac{2 \, B C b \left(\frac{a}{b}\right)^{\frac{2}{3}} + B^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}} + C^{2} a}{a}} \log\left(-\frac{C^{3} a^{2} + B^{3} a b - 2 \, {\left(C^{3} a b + B^{3} b^{2}\right)} x^{3} + 3 \, {\left(C^{3} a b + B^{3} b^{2}\right)} x \left(\frac{a}{b}\right)^{\frac{2}{3}} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, B C a b x^{2} - B^{2} a b x + C^{2} a^{2} - {\left(2 \, B^{2} b^{2} x^{2} + C^{2} a b x + B C a b\right)} \left(\frac{a}{b}\right)^{\frac{2}{3}} - {\left(2 \, C^{2} a b x^{2} - B C a b x - B^{2} a b\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{2 \, B C b \left(\frac{a}{b}\right)^{\frac{2}{3}} + B^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}} + C^{2} a}{a}}}{b x^{3} + a}\right)}{b}, \frac{2 \, \sqrt{\frac{1}{3}} \sqrt{\frac{2 \, B C b \left(\frac{a}{b}\right)^{\frac{2}{3}} + B^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}} + C^{2} a}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, B^{2} b x - C^{2} a + {\left(2 \, C^{2} b x + B C b\right)} \left(\frac{a}{b}\right)^{\frac{2}{3}} - {\left(2 \, B C b x + B^{2} b\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \sqrt{\frac{2 \, B C b \left(\frac{a}{b}\right)^{\frac{2}{3}} + B^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}} + C^{2} a}{a}}}{C^{3} a + B^{3} b}\right) + C \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{b}\right]"," ",0,"[(C*log(x + (a/b)^(1/3)) + sqrt(1/3)*sqrt(-(2*B*C*b*(a/b)^(2/3) + B^2*b*(a/b)^(1/3) + C^2*a)/a)*log(-(C^3*a^2 + B^3*a*b - 2*(C^3*a*b + B^3*b^2)*x^3 + 3*(C^3*a*b + B^3*b^2)*x*(a/b)^(2/3) + 3*sqrt(1/3)*(2*B*C*a*b*x^2 - B^2*a*b*x + C^2*a^2 - (2*B^2*b^2*x^2 + C^2*a*b*x + B*C*a*b)*(a/b)^(2/3) - (2*C^2*a*b*x^2 - B*C*a*b*x - B^2*a*b)*(a/b)^(1/3))*sqrt(-(2*B*C*b*(a/b)^(2/3) + B^2*b*(a/b)^(1/3) + C^2*a)/a))/(b*x^3 + a)))/b, (2*sqrt(1/3)*sqrt((2*B*C*b*(a/b)^(2/3) + B^2*b*(a/b)^(1/3) + C^2*a)/a)*arctan(sqrt(1/3)*(2*B^2*b*x - C^2*a + (2*C^2*b*x + B*C*b)*(a/b)^(2/3) - (2*B*C*b*x + B^2*b)*(a/b)^(1/3))*sqrt((2*B*C*b*(a/b)^(2/3) + B^2*b*(a/b)^(1/3) + C^2*a)/a)/(C^3*a + B^3*b)) + C*log(x + (a/b)^(1/3)))/b]","B",0
45,1,459,0,1.779719," ","integrate(((-a/b)^(1/3)*B+2*(-a/b)^(2/3)*C+B*x+C*x^2)/(-b*x^3+a),x, algorithm=""fricas"")","\left[-\frac{C \log\left(x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right) - \sqrt{\frac{1}{3}} \sqrt{\frac{2 \, B C b \left(-\frac{a}{b}\right)^{\frac{2}{3}} + B^{2} b \left(-\frac{a}{b}\right)^{\frac{1}{3}} - C^{2} a}{a}} \log\left(-\frac{C^{3} a^{2} - B^{3} a b + 2 \, {\left(C^{3} a b - B^{3} b^{2}\right)} x^{3} - 3 \, {\left(C^{3} a b - B^{3} b^{2}\right)} x \left(-\frac{a}{b}\right)^{\frac{2}{3}} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, B C a b x^{2} - B^{2} a b x - C^{2} a^{2} + {\left(2 \, B^{2} b^{2} x^{2} - C^{2} a b x - B C a b\right)} \left(-\frac{a}{b}\right)^{\frac{2}{3}} - {\left(2 \, C^{2} a b x^{2} - B C a b x - B^{2} a b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \sqrt{\frac{2 \, B C b \left(-\frac{a}{b}\right)^{\frac{2}{3}} + B^{2} b \left(-\frac{a}{b}\right)^{\frac{1}{3}} - C^{2} a}{a}}}{b x^{3} - a}\right)}{b}, -\frac{2 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{2 \, B C b \left(-\frac{a}{b}\right)^{\frac{2}{3}} + B^{2} b \left(-\frac{a}{b}\right)^{\frac{1}{3}} - C^{2} a}{a}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(2 \, B^{2} b x + C^{2} a + {\left(2 \, C^{2} b x + B C b\right)} \left(-\frac{a}{b}\right)^{\frac{2}{3}} - {\left(2 \, B C b x + B^{2} b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{2 \, B C b \left(-\frac{a}{b}\right)^{\frac{2}{3}} + B^{2} b \left(-\frac{a}{b}\right)^{\frac{1}{3}} - C^{2} a}{a}}}{C^{3} a - B^{3} b}\right) + C \log\left(x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}{b}\right]"," ",0,"[-(C*log(x + (-a/b)^(1/3)) - sqrt(1/3)*sqrt((2*B*C*b*(-a/b)^(2/3) + B^2*b*(-a/b)^(1/3) - C^2*a)/a)*log(-(C^3*a^2 - B^3*a*b + 2*(C^3*a*b - B^3*b^2)*x^3 - 3*(C^3*a*b - B^3*b^2)*x*(-a/b)^(2/3) + 3*sqrt(1/3)*(2*B*C*a*b*x^2 - B^2*a*b*x - C^2*a^2 + (2*B^2*b^2*x^2 - C^2*a*b*x - B*C*a*b)*(-a/b)^(2/3) - (2*C^2*a*b*x^2 - B*C*a*b*x - B^2*a*b)*(-a/b)^(1/3))*sqrt((2*B*C*b*(-a/b)^(2/3) + B^2*b*(-a/b)^(1/3) - C^2*a)/a))/(b*x^3 - a)))/b, -(2*sqrt(1/3)*sqrt(-(2*B*C*b*(-a/b)^(2/3) + B^2*b*(-a/b)^(1/3) - C^2*a)/a)*arctan(-sqrt(1/3)*(2*B^2*b*x + C^2*a + (2*C^2*b*x + B*C*b)*(-a/b)^(2/3) - (2*B*C*b*x + B^2*b)*(-a/b)^(1/3))*sqrt(-(2*B*C*b*(-a/b)^(2/3) + B^2*b*(-a/b)^(1/3) - C^2*a)/a)/(C^3*a - B^3*b)) + C*log(x + (-a/b)^(1/3)))/b]","B",0
46,1,450,0,1.779315," ","integrate((-(-a/b)^(1/3)*B+2*(-a/b)^(2/3)*C+B*x+C*x^2)/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{C \log\left(x - \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right) + \sqrt{\frac{1}{3}} \sqrt{-\frac{2 \, B C b \left(-\frac{a}{b}\right)^{\frac{2}{3}} - B^{2} b \left(-\frac{a}{b}\right)^{\frac{1}{3}} + C^{2} a}{a}} \log\left(-\frac{C^{3} a^{2} + B^{3} a b - 2 \, {\left(C^{3} a b + B^{3} b^{2}\right)} x^{3} + 3 \, {\left(C^{3} a b + B^{3} b^{2}\right)} x \left(-\frac{a}{b}\right)^{\frac{2}{3}} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, B C a b x^{2} - B^{2} a b x + C^{2} a^{2} - {\left(2 \, B^{2} b^{2} x^{2} + C^{2} a b x + B C a b\right)} \left(-\frac{a}{b}\right)^{\frac{2}{3}} + {\left(2 \, C^{2} a b x^{2} - B C a b x - B^{2} a b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{2 \, B C b \left(-\frac{a}{b}\right)^{\frac{2}{3}} - B^{2} b \left(-\frac{a}{b}\right)^{\frac{1}{3}} + C^{2} a}{a}}}{b x^{3} + a}\right)}{b}, \frac{2 \, \sqrt{\frac{1}{3}} \sqrt{\frac{2 \, B C b \left(-\frac{a}{b}\right)^{\frac{2}{3}} - B^{2} b \left(-\frac{a}{b}\right)^{\frac{1}{3}} + C^{2} a}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, B^{2} b x - C^{2} a + {\left(2 \, C^{2} b x + B C b\right)} \left(-\frac{a}{b}\right)^{\frac{2}{3}} + {\left(2 \, B C b x + B^{2} b\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)} \sqrt{\frac{2 \, B C b \left(-\frac{a}{b}\right)^{\frac{2}{3}} - B^{2} b \left(-\frac{a}{b}\right)^{\frac{1}{3}} + C^{2} a}{a}}}{C^{3} a + B^{3} b}\right) + C \log\left(x - \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}{b}\right]"," ",0,"[(C*log(x - (-a/b)^(1/3)) + sqrt(1/3)*sqrt(-(2*B*C*b*(-a/b)^(2/3) - B^2*b*(-a/b)^(1/3) + C^2*a)/a)*log(-(C^3*a^2 + B^3*a*b - 2*(C^3*a*b + B^3*b^2)*x^3 + 3*(C^3*a*b + B^3*b^2)*x*(-a/b)^(2/3) + 3*sqrt(1/3)*(2*B*C*a*b*x^2 - B^2*a*b*x + C^2*a^2 - (2*B^2*b^2*x^2 + C^2*a*b*x + B*C*a*b)*(-a/b)^(2/3) + (2*C^2*a*b*x^2 - B*C*a*b*x - B^2*a*b)*(-a/b)^(1/3))*sqrt(-(2*B*C*b*(-a/b)^(2/3) - B^2*b*(-a/b)^(1/3) + C^2*a)/a))/(b*x^3 + a)))/b, (2*sqrt(1/3)*sqrt((2*B*C*b*(-a/b)^(2/3) - B^2*b*(-a/b)^(1/3) + C^2*a)/a)*arctan(sqrt(1/3)*(2*B^2*b*x - C^2*a + (2*C^2*b*x + B*C*b)*(-a/b)^(2/3) + (2*B*C*b*x + B^2*b)*(-a/b)^(1/3))*sqrt((2*B*C*b*(-a/b)^(2/3) - B^2*b*(-a/b)^(1/3) + C^2*a)/a)/(C^3*a + B^3*b)) + C*log(x - (-a/b)^(1/3)))/b]","B",0
47,1,450,0,1.720587," ","integrate((-(a/b)^(1/3)*B+2*(a/b)^(2/3)*C+B*x+C*x^2)/(-b*x^3+a),x, algorithm=""fricas"")","\left[-\frac{C \log\left(x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right) - \sqrt{\frac{1}{3}} \sqrt{\frac{2 \, B C b \left(\frac{a}{b}\right)^{\frac{2}{3}} - B^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}} - C^{2} a}{a}} \log\left(-\frac{C^{3} a^{2} - B^{3} a b + 2 \, {\left(C^{3} a b - B^{3} b^{2}\right)} x^{3} - 3 \, {\left(C^{3} a b - B^{3} b^{2}\right)} x \left(\frac{a}{b}\right)^{\frac{2}{3}} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, B C a b x^{2} - B^{2} a b x - C^{2} a^{2} + {\left(2 \, B^{2} b^{2} x^{2} - C^{2} a b x - B C a b\right)} \left(\frac{a}{b}\right)^{\frac{2}{3}} + {\left(2 \, C^{2} a b x^{2} - B C a b x - B^{2} a b\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \sqrt{\frac{2 \, B C b \left(\frac{a}{b}\right)^{\frac{2}{3}} - B^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}} - C^{2} a}{a}}}{b x^{3} - a}\right)}{b}, -\frac{2 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{2 \, B C b \left(\frac{a}{b}\right)^{\frac{2}{3}} - B^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}} - C^{2} a}{a}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(2 \, B^{2} b x + C^{2} a + {\left(2 \, C^{2} b x + B C b\right)} \left(\frac{a}{b}\right)^{\frac{2}{3}} + {\left(2 \, B C b x + B^{2} b\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{2 \, B C b \left(\frac{a}{b}\right)^{\frac{2}{3}} - B^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}} - C^{2} a}{a}}}{C^{3} a - B^{3} b}\right) + C \log\left(x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{b}\right]"," ",0,"[-(C*log(x - (a/b)^(1/3)) - sqrt(1/3)*sqrt((2*B*C*b*(a/b)^(2/3) - B^2*b*(a/b)^(1/3) - C^2*a)/a)*log(-(C^3*a^2 - B^3*a*b + 2*(C^3*a*b - B^3*b^2)*x^3 - 3*(C^3*a*b - B^3*b^2)*x*(a/b)^(2/3) + 3*sqrt(1/3)*(2*B*C*a*b*x^2 - B^2*a*b*x - C^2*a^2 + (2*B^2*b^2*x^2 - C^2*a*b*x - B*C*a*b)*(a/b)^(2/3) + (2*C^2*a*b*x^2 - B*C*a*b*x - B^2*a*b)*(a/b)^(1/3))*sqrt((2*B*C*b*(a/b)^(2/3) - B^2*b*(a/b)^(1/3) - C^2*a)/a))/(b*x^3 - a)))/b, -(2*sqrt(1/3)*sqrt(-(2*B*C*b*(a/b)^(2/3) - B^2*b*(a/b)^(1/3) - C^2*a)/a)*arctan(-sqrt(1/3)*(2*B^2*b*x + C^2*a + (2*C^2*b*x + B*C*b)*(a/b)^(2/3) + (2*B*C*b*x + B^2*b)*(a/b)^(1/3))*sqrt(-(2*B*C*b*(a/b)^(2/3) - B^2*b*(a/b)^(1/3) - C^2*a)/a)/(C^3*a - B^3*b)) + C*log(x - (a/b)^(1/3)))/b]","B",0
48,1,26,0,0.395276," ","integrate((c*x^2+a*x+a)/(-x^3+1),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(a - c\right)} \log\left(x^{2} + x + 1\right) - \frac{1}{3} \, {\left(2 \, a + c\right)} \log\left(x - 1\right)"," ",0,"1/3*(a - c)*log(x^2 + x + 1) - 1/3*(2*a + c)*log(x - 1)","A",0
49,1,47,0,0.424326," ","integrate((c*x^2+b*x+a)/(-x^3+1),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} {\left(a - b\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, {\left(a + b - 2 \, c\right)} \log\left(x^{2} + x + 1\right) - \frac{1}{3} \, {\left(a + b + c\right)} \log\left(x - 1\right)"," ",0,"1/3*sqrt(3)*(a - b)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*(a + b - 2*c)*log(x^2 + x + 1) - 1/3*(a + b + c)*log(x - 1)","A",0
50,1,6,0,0.384794," ","integrate((x^2+x+1)/(-x^3+1),x, algorithm=""fricas"")","-\log\left(x - 1\right)"," ",0,"-log(x - 1)","A",0
51,1,32,0,0.416907," ","integrate((3*x^2-x+1)/(-x^3+1),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \log\left(x^{2} + x + 1\right) - \log\left(x - 1\right)"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - log(x^2 + x + 1) - log(x - 1)","A",0
52,1,16,0,0.388335," ","integrate((4*x^2+x+1)/(-x^3+1),x, algorithm=""fricas"")","-\log\left(x^{2} + x + 1\right) - 2 \, \log\left(x - 1\right)"," ",0,"-log(x^2 + x + 1) - 2*log(x - 1)","A",0
53,1,97,0,0.353230," ","integrate((b*x^3+a)^3*(b*d*x^4+b*c*x^3+a*d*x+a*c),x, algorithm=""fricas"")","\frac{1}{14} x^{14} d b^{4} + \frac{1}{13} x^{13} c b^{4} + \frac{4}{11} x^{11} d b^{3} a + \frac{2}{5} x^{10} c b^{3} a + \frac{3}{4} x^{8} d b^{2} a^{2} + \frac{6}{7} x^{7} c b^{2} a^{2} + \frac{4}{5} x^{5} d b a^{3} + x^{4} c b a^{3} + \frac{1}{2} x^{2} d a^{4} + x c a^{4}"," ",0,"1/14*x^14*d*b^4 + 1/13*x^13*c*b^4 + 4/11*x^11*d*b^3*a + 2/5*x^10*c*b^3*a + 3/4*x^8*d*b^2*a^2 + 6/7*x^7*c*b^2*a^2 + 4/5*x^5*d*b*a^3 + x^4*c*b*a^3 + 1/2*x^2*d*a^4 + x*c*a^4","A",0
54,1,74,0,0.355489," ","integrate((b*x^3+a)^2*(b*d*x^4+b*c*x^3+a*d*x+a*c),x, algorithm=""fricas"")","\frac{1}{11} x^{11} d b^{3} + \frac{1}{10} x^{10} c b^{3} + \frac{3}{8} x^{8} d b^{2} a + \frac{3}{7} x^{7} c b^{2} a + \frac{3}{5} x^{5} d b a^{2} + \frac{3}{4} x^{4} c b a^{2} + \frac{1}{2} x^{2} d a^{3} + x c a^{3}"," ",0,"1/11*x^11*d*b^3 + 1/10*x^10*c*b^3 + 3/8*x^8*d*b^2*a + 3/7*x^7*c*b^2*a + 3/5*x^5*d*b*a^2 + 3/4*x^4*c*b*a^2 + 1/2*x^2*d*a^3 + x*c*a^3","A",0
55,1,50,0,0.354449," ","integrate((b*x^3+a)*(b*d*x^4+b*c*x^3+a*d*x+a*c),x, algorithm=""fricas"")","\frac{1}{8} x^{8} d b^{2} + \frac{1}{7} x^{7} c b^{2} + \frac{2}{5} x^{5} d b a + \frac{1}{2} x^{4} c b a + \frac{1}{2} x^{2} d a^{2} + x c a^{2}"," ",0,"1/8*x^8*d*b^2 + 1/7*x^7*c*b^2 + 2/5*x^5*d*b*a + 1/2*x^4*c*b*a + 1/2*x^2*d*a^2 + x*c*a^2","A",0
56,1,10,0,0.388135," ","integrate((b*d*x^4+b*c*x^3+a*d*x+a*c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{1}{2} \, d x^{2} + c x"," ",0,"1/2*d*x^2 + c*x","A",0
57,1,1931,0,1.178608," ","integrate((b*d*x^4+b*c*x^3+a*d*x+a*c)/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{1}{6} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b d - \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} a b c^{2} + 2 \, a c d^{2} + {\left(b c^{3} + a d^{3}\right)} x\right) + \frac{1}{12} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}} + 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, c d}{a b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b d + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} a b c^{2} - 2 \, a c d^{2} + 2 \, {\left(b c^{3} + a d^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b d + 2 \, a b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, c d}{a b}}\right) + \frac{1}{12} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}} - 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, c d}{a b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b d + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} a b c^{2} - 2 \, a c d^{2} + 2 \, {\left(b c^{3} + a d^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b d + 2 \, a b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a b {\left(\frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b c^{3} - a d^{3}}{a^{2} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a b + 16 \, c d}{a b}}\right)"," ",0,"-1/6*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*log(1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a^2*b*d - 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*a*b*c^2 + 2*a*c*d^2 + (b*c^3 + a*d^3)*x) + 1/12*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)) + 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a*b + 16*c*d)/(a*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a^2*b*d + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*a*b*c^2 - 2*a*c*d^2 + 2*(b*c^3 + a*d^3)*x + 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*a^2*b*d + 2*a*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a*b + 16*c*d)/(a*b))) + 1/12*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)) - 3*sqrt(1/3)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a*b + 16*c*d)/(a*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a^2*b*d + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*a*b*c^2 - 2*a*c*d^2 + 2*(b*c^3 + a*d^3)*x - 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))*a^2*b*d + 2*a*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3) - 2*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a*b*((b*c^3 + a*d^3)/(a^2*b^2) + (b*c^3 - a*d^3)/(a^2*b^2))^(1/3)))^2*a*b + 16*c*d)/(a*b)))","C",0
58,1,2088,0,1.187455," ","integrate((b*d*x^4+b*c*x^3+a*d*x+a*c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{12 \, d x^{2} - 2 \, {\left(a b x^{3} + a^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b d - 2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b c^{2} + 4 \, a c d^{2} + {\left(8 \, b c^{3} + a d^{3}\right)} x\right) + 12 \, c x + {\left({\left(a b x^{3} + a^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b x^{3} + a^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b d + 2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b c^{2} - 4 \, a c d^{2} + 2 \, {\left(8 \, b c^{3} + a d^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b d + 8 \, a^{2} b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right) + {\left({\left(a b x^{3} + a^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b x^{3} + a^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b d + 2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b c^{2} - 4 \, a c d^{2} + 2 \, {\left(8 \, b c^{3} + a d^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b d + 8 \, a^{2} b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right)}{36 \, {\left(a b x^{3} + a^{2}\right)}}"," ",0,"1/36*(12*d*x^2 - 2*(a*b*x^3 + a^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*log(1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^4*b*d - 2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^2*b*c^2 + 4*a*c*d^2 + (8*b*c^3 + a*d^3)*x) + 12*c*x + ((a*b*x^3 + a^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3))) + 3*sqrt(1/3)*(a*b*x^3 + a^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^4*b*d + 2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^2*b*c^2 - 4*a*c*d^2 + 2*(8*b*c^3 + a*d^3)*x + 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^4*b*d + 8*a^2*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b))) + ((a*b*x^3 + a^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3))) - 3*sqrt(1/3)*(a*b*x^3 + a^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^4*b*d + 2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^2*b*c^2 - 4*a*c*d^2 + 2*(8*b*c^3 + a*d^3)*x - 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^4*b*d + 8*a^2*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b))))/(a*b*x^3 + a^2)","C",0
59,0,0,0,0.466613," ","integrate((b*x^3+a)^(3/2)*(b*d*x^4+b*c*x^3+a*d*x+a*c),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} d x^{7} + b^{2} c x^{6} + 2 \, a b d x^{4} + 2 \, a b c x^{3} + a^{2} d x + a^{2} c\right)} \sqrt{b x^{3} + a}, x\right)"," ",0,"integral((b^2*d*x^7 + b^2*c*x^6 + 2*a*b*d*x^4 + 2*a*b*c*x^3 + a^2*d*x + a^2*c)*sqrt(b*x^3 + a), x)","F",0
60,0,0,0,0.443532," ","integrate((b*x^3+a)^(1/2)*(b*d*x^4+b*c*x^3+a*d*x+a*c),x, algorithm=""fricas"")","{\rm integral}\left({\left(b d x^{4} + b c x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}, x\right)"," ",0,"integral((b*d*x^4 + b*c*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a), x)","F",0
61,0,0,0,0.455763," ","integrate((b*d*x^4+b*c*x^3+a*d*x+a*c)/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{3} + a} {\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(d*x + c), x)","F",0
62,0,0,0,0.534386," ","integrate((b*d*x^4+b*c*x^3+a*d*x+a*c)/(b*x^3+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x + c}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((d*x + c)/sqrt(b*x^3 + a), x)","F",0
63,0,0,0,0.442355," ","integrate((b*d*x^4+b*c*x^3+a*d*x+a*c)/(b*x^3+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a} {\left(d x + c\right)}}{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(d*x + c)/(b^2*x^6 + 2*a*b*x^3 + a^2), x)","F",0
64,0,0,0,0.457092," ","integrate((b*d*x^4+b*c*x^3+a*d*x+a*c)/(b*x^3+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a} {\left(d x + c\right)}}{b^{3} x^{9} + 3 \, a b^{2} x^{6} + 3 \, a^{2} b x^{3} + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(d*x + c)/(b^3*x^9 + 3*a*b^2*x^6 + 3*a^2*b*x^3 + a^3), x)","F",0
65,0,0,0,0.453461," ","integrate((b*d*x^4+b*c*x^3+a*d*x+a*c)/(b*x^3+a)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a} {\left(d x + c\right)}}{b^{4} x^{12} + 4 \, a b^{3} x^{9} + 6 \, a^{2} b^{2} x^{6} + 4 \, a^{3} b x^{3} + a^{4}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(d*x + c)/(b^4*x^12 + 4*a*b^3*x^9 + 6*a^2*b^2*x^6 + 4*a^3*b*x^3 + a^4), x)","F",0
66,0,0,0,0.443033," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{g x^{4} + f x^{3} + e x^{2} + d x + c}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)/sqrt(b*x^3 + a), x)","F",0
67,0,0,0,0.444893," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/(b^2*x^6 + 2*a*b*x^3 + a^2), x)","F",0
68,0,0,0,0.436211," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{b^{3} x^{9} + 3 \, a b^{2} x^{6} + 3 \, a^{2} b x^{3} + a^{3}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/(b^3*x^9 + 3*a*b^2*x^6 + 3*a^2*b*x^3 + a^3), x)","F",0
69,0,0,0,0.413249," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{b^{4} x^{12} + 4 \, a b^{3} x^{9} + 6 \, a^{2} b^{2} x^{6} + 4 \, a^{3} b x^{3} + a^{4}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/(b^4*x^12 + 4*a*b^3*x^9 + 6*a^2*b^2*x^6 + 4*a^3*b*x^3 + a^4), x)","F",0
70,1,5014,0,1.203520," ","integrate((b*x+a)^2/(d*x^3+c),x, algorithm=""fricas"")","-\frac{2 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} d \log\left(2 \, b^{5} c^{2} + 7 \, a^{3} b^{2} c d + \frac{1}{2} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)}^{2} b c^{2} d^{2} + \frac{1}{2} \, {\left(4 \, b^{3} c^{2} d - a^{3} c d^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} + {\left(8 \, a^{2} b^{3} c d + a^{5} d^{2}\right)} x\right) - {\left(6 \, b^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} d + 3 \, \sqrt{\frac{1}{3}} d \sqrt{-\frac{4 \, b^{4} c + 32 \, a^{3} b d + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} b^{2} c d + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)}^{2} c d^{2}}{c d^{2}}}\right)} \log\left(-2 \, b^{5} c^{2} - 7 \, a^{3} b^{2} c d - \frac{1}{2} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)}^{2} b c^{2} d^{2} - \frac{1}{2} \, {\left(4 \, b^{3} c^{2} d - a^{3} c d^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} + 2 \, {\left(8 \, a^{2} b^{3} c d + a^{5} d^{2}\right)} x + \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left(2 \, b^{3} c^{2} d + a^{3} c d^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} b c^{2} d^{2}\right)} \sqrt{-\frac{4 \, b^{4} c + 32 \, a^{3} b d + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} b^{2} c d + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)}^{2} c d^{2}}{c d^{2}}}\right) - {\left(6 \, b^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} d - 3 \, \sqrt{\frac{1}{3}} d \sqrt{-\frac{4 \, b^{4} c + 32 \, a^{3} b d + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} b^{2} c d + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)}^{2} c d^{2}}{c d^{2}}}\right)} \log\left(-2 \, b^{5} c^{2} - 7 \, a^{3} b^{2} c d - \frac{1}{2} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)}^{2} b c^{2} d^{2} - \frac{1}{2} \, {\left(4 \, b^{3} c^{2} d - a^{3} c d^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} + 2 \, {\left(8 \, a^{2} b^{3} c d + a^{5} d^{2}\right)} x - \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left(2 \, b^{3} c^{2} d + a^{3} c d^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} b c^{2} d^{2}\right)} \sqrt{-\frac{4 \, b^{4} c + 32 \, a^{3} b d + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)} b^{2} c d + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{4}}{d^{2}} - \frac{b^{4} c + 2 \, a^{3} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{6}}{d^{3}} + \frac{{\left(8 \, b^{3} c + a^{3} d\right)} a^{3}}{c^{2} d^{2}} - \frac{3 \, {\left(b^{4} c + 2 \, a^{3} b d\right)} b^{2}}{c d^{3}} + \frac{b^{6} c^{2} - 2 \, a^{3} b^{3} c d + a^{6} d^{2}}{c^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, b^{2}}{d}\right)}^{2} c d^{2}}{c d^{2}}}\right)}{12 \, d}"," ",0,"-1/12*(2*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)*d*log(2*b^5*c^2 + 7*a^3*b^2*c*d + 1/2*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)^2*b*c^2*d^2 + 1/2*(4*b^3*c^2*d - a^3*c*d^2)*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d) + (8*a^2*b^3*c*d + a^5*d^2)*x) - (6*b^2 + (2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)*d + 3*sqrt(1/3)*d*sqrt(-(4*b^4*c + 32*a^3*b*d + 4*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)*b^2*c*d + (2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)^2*c*d^2)/(c*d^2)))*log(-2*b^5*c^2 - 7*a^3*b^2*c*d - 1/2*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)^2*b*c^2*d^2 - 1/2*(4*b^3*c^2*d - a^3*c*d^2)*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d) + 2*(8*a^2*b^3*c*d + a^5*d^2)*x + 3/2*sqrt(1/3)*(2*b^3*c^2*d + a^3*c*d^2 + (2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)*b*c^2*d^2)*sqrt(-(4*b^4*c + 32*a^3*b*d + 4*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)*b^2*c*d + (2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)^2*c*d^2)/(c*d^2))) - (6*b^2 + (2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)*d - 3*sqrt(1/3)*d*sqrt(-(4*b^4*c + 32*a^3*b*d + 4*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)*b^2*c*d + (2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)^2*c*d^2)/(c*d^2)))*log(-2*b^5*c^2 - 7*a^3*b^2*c*d - 1/2*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)^2*b*c^2*d^2 - 1/2*(4*b^3*c^2*d - a^3*c*d^2)*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d) + 2*(8*a^2*b^3*c*d + a^5*d^2)*x - 3/2*sqrt(1/3)*(2*b^3*c^2*d + a^3*c*d^2 + (2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)*b*c^2*d^2)*sqrt(-(4*b^4*c + 32*a^3*b*d + 4*(2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)*b^2*c*d + (2*(1/2)^(2/3)*(b^4/d^2 - (b^4*c + 2*a^3*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3) + (1/2)^(1/3)*(2*b^6/d^3 + (8*b^3*c + a^3*d)*a^3/(c^2*d^2) - 3*(b^4*c + 2*a^3*b*d)*b^2/(c*d^3) + (b^6*c^2 - 2*a^3*b^3*c*d + a^6*d^2)/(c^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*b^2/d)^2*c*d^2)/(c*d^2))))/d","C",0
71,1,7245,0,1.815840," ","integrate((b*x+a)^3/(d*x^3+c),x, algorithm=""fricas"")","\frac{12 \, b^{3} x - 2 \, {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d \log\left(-3 \, a b^{8} c^{3} + 15 \, a^{4} b^{5} c^{2} d + 15 \, a^{7} b^{2} c d^{2} + \frac{3}{4} \, {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} a^{2} b c^{2} d^{3} - \frac{1}{2} \, {\left(b^{6} c^{3} d - 20 \, a^{3} b^{3} c^{2} d^{2} + a^{6} c d^{3}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - {\left(b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}\right)} x\right) + {\left(18 \, a b^{2} + {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d + 3 \, \sqrt{\frac{1}{3}} d \sqrt{\frac{12 \, a^{2} b^{4} c - 48 \, a^{5} b d - 12 \, {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a b^{2} c d - {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c d^{2}}{c d^{2}}}\right)} \log\left(3 \, a b^{8} c^{3} - 15 \, a^{4} b^{5} c^{2} d - 15 \, a^{7} b^{2} c d^{2} - \frac{3}{4} \, {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} a^{2} b c^{2} d^{3} + \frac{1}{2} \, {\left(b^{6} c^{3} d - 20 \, a^{3} b^{3} c^{2} d^{2} + a^{6} c d^{3}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 2 \, {\left(b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, b^{6} c^{3} d + 14 \, a^{3} b^{3} c^{2} d^{2} + 2 \, a^{6} c d^{3} + 3 \, {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b c^{2} d^{3}\right)} \sqrt{\frac{12 \, a^{2} b^{4} c - 48 \, a^{5} b d - 12 \, {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a b^{2} c d - {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c d^{2}}{c d^{2}}}\right) + {\left(18 \, a b^{2} + {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d - 3 \, \sqrt{\frac{1}{3}} d \sqrt{\frac{12 \, a^{2} b^{4} c - 48 \, a^{5} b d - 12 \, {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a b^{2} c d - {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c d^{2}}{c d^{2}}}\right)} \log\left(3 \, a b^{8} c^{3} - 15 \, a^{4} b^{5} c^{2} d - 15 \, a^{7} b^{2} c d^{2} - \frac{3}{4} \, {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} a^{2} b c^{2} d^{3} + \frac{1}{2} \, {\left(b^{6} c^{3} d - 20 \, a^{3} b^{3} c^{2} d^{2} + a^{6} c d^{3}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 2 \, {\left(b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, b^{6} c^{3} d + 14 \, a^{3} b^{3} c^{2} d^{2} + 2 \, a^{6} c d^{3} + 3 \, {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b c^{2} d^{3}\right)} \sqrt{\frac{12 \, a^{2} b^{4} c - 48 \, a^{5} b d - 12 \, {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a b^{2} c d - {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{3 \, a^{2} b^{4}}{d^{2}} - \frac{2 \, a^{2} b^{4} c + a^{5} b d}{c d^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}}} - \frac{6 \, a b^{2}}{d} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, a^{3} b^{6}}{d^{3}} - \frac{27 \, {\left(2 \, a^{2} b^{4} c + a^{5} b d\right)} a b^{2}}{c d^{3}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}} - \frac{b^{9} c^{3} - 3 \, a^{3} b^{6} c^{2} d - 24 \, a^{6} b^{3} c d^{2} - a^{9} d^{3}}{c^{2} d^{4}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c d^{2}}{c d^{2}}}\right)}{12 \, d}"," ",0,"1/12*(12*b^3*x - 2*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))*d*log(-3*a*b^8*c^3 + 15*a^4*b^5*c^2*d + 15*a^7*b^2*c*d^2 + 3/4*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))^2*a^2*b*c^2*d^3 - 1/2*(b^6*c^3*d - 20*a^3*b^3*c^2*d^2 + a^6*c*d^3)*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1)) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)*x) + (18*a*b^2 + (6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))*d + 3*sqrt(1/3)*d*sqrt((12*a^2*b^4*c - 48*a^5*b*d - 12*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))*a*b^2*c*d - (6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))^2*c*d^2)/(c*d^2)))*log(3*a*b^8*c^3 - 15*a^4*b^5*c^2*d - 15*a^7*b^2*c*d^2 - 3/4*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))^2*a^2*b*c^2*d^3 + 1/2*(b^6*c^3*d - 20*a^3*b^3*c^2*d^2 + a^6*c*d^3)*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1)) - 2*(b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)*x + 3/4*sqrt(1/3)*(2*b^6*c^3*d + 14*a^3*b^3*c^2*d^2 + 2*a^6*c*d^3 + 3*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))*a^2*b*c^2*d^3)*sqrt((12*a^2*b^4*c - 48*a^5*b*d - 12*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))*a*b^2*c*d - (6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))^2*c*d^2)/(c*d^2))) + (18*a*b^2 + (6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))*d - 3*sqrt(1/3)*d*sqrt((12*a^2*b^4*c - 48*a^5*b*d - 12*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))*a*b^2*c*d - (6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))^2*c*d^2)/(c*d^2)))*log(3*a*b^8*c^3 - 15*a^4*b^5*c^2*d - 15*a^7*b^2*c*d^2 - 3/4*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))^2*a^2*b*c^2*d^3 + 1/2*(b^6*c^3*d - 20*a^3*b^3*c^2*d^2 + a^6*c*d^3)*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1)) - 2*(b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)*x - 3/4*sqrt(1/3)*(2*b^6*c^3*d + 14*a^3*b^3*c^2*d^2 + 2*a^6*c*d^3 + 3*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))*a^2*b*c^2*d^3)*sqrt((12*a^2*b^4*c - 48*a^5*b*d - 12*(6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))*a*b^2*c*d - (6*(1/2)^(2/3)*(3*a^2*b^4/d^2 - (2*a^2*b^4*c + a^5*b*d)/(c*d^2))*(-I*sqrt(3) + 1)/(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3) - 6*a*b^2/d + (1/2)^(1/3)*(54*a^3*b^6/d^3 - 27*(2*a^2*b^4*c + a^5*b*d)*a*b^2/(c*d^3) - (b^9*c^3 - 3*a^3*b^6*c^2*d + 3*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4) - (b^9*c^3 - 3*a^3*b^6*c^2*d - 24*a^6*b^3*c*d^2 - a^9*d^3)/(c^2*d^4))^(1/3)*(I*sqrt(3) + 1))^2*c*d^2)/(c*d^2))))/d","C",0
72,1,8787,0,5.152496," ","integrate((b*x+a)^4/(d*x^3+c),x, algorithm=""fricas"")","\frac{6 \, b^{4} x^{2} + 48 \, a b^{3} x + 2 \, {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d \log\left(-8 \, a b^{11} c^{4} - 66 \, a^{4} b^{8} c^{3} d + 48 \, a^{7} b^{5} c^{2} d^{2} + 26 \, a^{10} b^{2} c d^{3} - \frac{1}{4} \, {\left(b^{4} c^{3} d^{3} - 4 \, a^{3} b c^{2} d^{4}\right)} {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} + \frac{1}{2} \, {\left(28 \, a^{2} b^{6} c^{3} d^{2} - 56 \, a^{5} b^{3} c^{2} d^{3} + a^{8} c d^{4}\right)} {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - {\left(b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}\right)} x\right) + {\left(36 \, a^{2} b^{2} - {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d + 3 \, \sqrt{\frac{1}{3}} d \sqrt{-\frac{64 \, a b^{7} c^{2} - 128 \, a^{4} b^{4} c d + 64 \, a^{7} b d^{2} - 24 \, {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c d^{2} + {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c d^{3}}{c d^{3}}}\right)} \log\left(8 \, a b^{11} c^{4} + 66 \, a^{4} b^{8} c^{3} d - 48 \, a^{7} b^{5} c^{2} d^{2} - 26 \, a^{10} b^{2} c d^{3} + \frac{1}{4} \, {\left(b^{4} c^{3} d^{3} - 4 \, a^{3} b c^{2} d^{4}\right)} {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - \frac{1}{2} \, {\left(28 \, a^{2} b^{6} c^{3} d^{2} - 56 \, a^{5} b^{3} c^{2} d^{3} + a^{8} c d^{4}\right)} {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 2 \, {\left(b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(20 \, a^{2} b^{6} c^{3} d^{2} + 32 \, a^{5} b^{3} c^{2} d^{3} + 2 \, a^{8} c d^{4} + {\left(b^{4} c^{3} d^{3} - 4 \, a^{3} b c^{2} d^{4}\right)} {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}\right)} \sqrt{-\frac{64 \, a b^{7} c^{2} - 128 \, a^{4} b^{4} c d + 64 \, a^{7} b d^{2} - 24 \, {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c d^{2} + {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c d^{3}}{c d^{3}}}\right) + {\left(36 \, a^{2} b^{2} - {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d - 3 \, \sqrt{\frac{1}{3}} d \sqrt{-\frac{64 \, a b^{7} c^{2} - 128 \, a^{4} b^{4} c d + 64 \, a^{7} b d^{2} - 24 \, {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c d^{2} + {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c d^{3}}{c d^{3}}}\right)} \log\left(8 \, a b^{11} c^{4} + 66 \, a^{4} b^{8} c^{3} d - 48 \, a^{7} b^{5} c^{2} d^{2} - 26 \, a^{10} b^{2} c d^{3} + \frac{1}{4} \, {\left(b^{4} c^{3} d^{3} - 4 \, a^{3} b c^{2} d^{4}\right)} {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - \frac{1}{2} \, {\left(28 \, a^{2} b^{6} c^{3} d^{2} - 56 \, a^{5} b^{3} c^{2} d^{3} + a^{8} c d^{4}\right)} {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 2 \, {\left(b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(20 \, a^{2} b^{6} c^{3} d^{2} + 32 \, a^{5} b^{3} c^{2} d^{3} + 2 \, a^{8} c d^{4} + {\left(b^{4} c^{3} d^{3} - 4 \, a^{3} b c^{2} d^{4}\right)} {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}\right)} \sqrt{-\frac{64 \, a b^{7} c^{2} - 128 \, a^{4} b^{4} c d + 64 \, a^{7} b d^{2} - 24 \, {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c d^{2} + {\left(\frac{12 \, a^{2} b^{2}}{d} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{36 \, a^{4} b^{4}}{d^{2}} - \frac{4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}}{c d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{432 \, a^{6} b^{6}}{d^{3}} - \frac{18 \, {\left(4 \, a b^{7} c^{2} + 19 \, a^{4} b^{4} c d + 4 \, a^{7} b d^{2}\right)} a^{2} b^{2}}{c d^{4}} - \frac{b^{12} c^{4} + 52 \, a^{3} b^{9} c^{3} d - 52 \, a^{9} b^{3} c d^{3} - a^{12} d^{4}}{c^{2} d^{5}} + \frac{b^{12} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{9} b^{3} c d^{3} + a^{12} d^{4}}{c^{2} d^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c d^{3}}{c d^{3}}}\right)}{12 \, d}"," ",0,"1/12*(6*b^4*x^2 + 48*a*b^3*x + 2*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))*d*log(-8*a*b^11*c^4 - 66*a^4*b^8*c^3*d + 48*a^7*b^5*c^2*d^2 + 26*a^10*b^2*c*d^3 - 1/4*(b^4*c^3*d^3 - 4*a^3*b*c^2*d^4)*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))^2 + 1/2*(28*a^2*b^6*c^3*d^2 - 56*a^5*b^3*c^2*d^3 + a^8*c*d^4)*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1)) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)*x) + (36*a^2*b^2 - (12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))*d + 3*sqrt(1/3)*d*sqrt(-(64*a*b^7*c^2 - 128*a^4*b^4*c*d + 64*a^7*b*d^2 - 24*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c*d^2 + (12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))^2*c*d^3)/(c*d^3)))*log(8*a*b^11*c^4 + 66*a^4*b^8*c^3*d - 48*a^7*b^5*c^2*d^2 - 26*a^10*b^2*c*d^3 + 1/4*(b^4*c^3*d^3 - 4*a^3*b*c^2*d^4)*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))^2 - 1/2*(28*a^2*b^6*c^3*d^2 - 56*a^5*b^3*c^2*d^3 + a^8*c*d^4)*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1)) - 2*(b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)*x + 3/4*sqrt(1/3)*(20*a^2*b^6*c^3*d^2 + 32*a^5*b^3*c^2*d^3 + 2*a^8*c*d^4 + (b^4*c^3*d^3 - 4*a^3*b*c^2*d^4)*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1)))*sqrt(-(64*a*b^7*c^2 - 128*a^4*b^4*c*d + 64*a^7*b*d^2 - 24*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c*d^2 + (12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))^2*c*d^3)/(c*d^3))) + (36*a^2*b^2 - (12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))*d - 3*sqrt(1/3)*d*sqrt(-(64*a*b^7*c^2 - 128*a^4*b^4*c*d + 64*a^7*b*d^2 - 24*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c*d^2 + (12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))^2*c*d^3)/(c*d^3)))*log(8*a*b^11*c^4 + 66*a^4*b^8*c^3*d - 48*a^7*b^5*c^2*d^2 - 26*a^10*b^2*c*d^3 + 1/4*(b^4*c^3*d^3 - 4*a^3*b*c^2*d^4)*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))^2 - 1/2*(28*a^2*b^6*c^3*d^2 - 56*a^5*b^3*c^2*d^3 + a^8*c*d^4)*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1)) - 2*(b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)*x - 3/4*sqrt(1/3)*(20*a^2*b^6*c^3*d^2 + 32*a^5*b^3*c^2*d^3 + 2*a^8*c*d^4 + (b^4*c^3*d^3 - 4*a^3*b*c^2*d^4)*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1)))*sqrt(-(64*a*b^7*c^2 - 128*a^4*b^4*c*d + 64*a^7*b*d^2 - 24*(12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c*d^2 + (12*a^2*b^2/d - 2*(1/2)^(2/3)*(36*a^4*b^4/d^2 - (4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)/(c*d^3))*(-I*sqrt(3) + 1)/(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3) - (1/2)^(1/3)*(432*a^6*b^6/d^3 - 18*(4*a*b^7*c^2 + 19*a^4*b^4*c*d + 4*a^7*b*d^2)*a^2*b^2/(c*d^4) - (b^12*c^4 + 52*a^3*b^9*c^3*d - 52*a^9*b^3*c*d^3 - a^12*d^4)/(c^2*d^5) + (b^12*c^4 - 4*a^3*b^9*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^9*b^3*c*d^3 + a^12*d^4)/(c^2*d^5))^(1/3)*(I*sqrt(3) + 1))^2*c*d^3)/(c*d^3))))/d","C",0
73,1,12827,0,1.763712," ","integrate((c*x^2+b*x+a)^2/(e*x^3+d),x, algorithm=""fricas"")","\frac{6 \, c^{2} x^{2} + 24 \, b c x - 2 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)} e \log\left(-4 \, b c^{5} d^{4} - {\left(5 \, b^{4} c^{2} - 4 \, a b^{2} c^{3} + 2 \, a^{2} c^{4}\right)} d^{3} e + 2 \, {\left(a b^{5} - 2 \, a^{2} b^{3} c + 4 \, a^{3} b c^{2}\right)} d^{2} e^{2} + {\left(7 \, a^{4} b^{2} - 2 \, a^{5} c\right)} d e^{3} - \frac{1}{4} \, {\left(c^{2} d^{3} e^{3} - 2 \, a b d^{2} e^{4}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)}^{2} - \frac{1}{2} \, {\left(a^{4} d e^{4} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{2} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)} - {\left(c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}\right)} x\right) + {\left(6 \, b^{2} + 12 \, a c + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)} e + 3 \, \sqrt{\frac{1}{3}} e \sqrt{-\frac{32 \, b c^{3} d^{2} + 32 \, a^{3} b e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)}^{2} d e^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)} {\left(b^{2} + 2 \, a c\right)} d e^{2} + 4 \, {\left(b^{4} - 12 \, a b^{2} c\right)} d e}{d e^{3}}}\right)} \log\left(4 \, b c^{5} d^{4} + {\left(5 \, b^{4} c^{2} - 4 \, a b^{2} c^{3} + 2 \, a^{2} c^{4}\right)} d^{3} e - 2 \, {\left(a b^{5} - 2 \, a^{2} b^{3} c + 4 \, a^{3} b c^{2}\right)} d^{2} e^{2} - {\left(7 \, a^{4} b^{2} - 2 \, a^{5} c\right)} d e^{3} + \frac{1}{4} \, {\left(c^{2} d^{3} e^{3} - 2 \, a b d^{2} e^{4}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)}^{2} + \frac{1}{2} \, {\left(a^{4} d e^{4} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{2} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)} - 2 \, {\left(c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(4 \, a b^{3} d^{2} e^{3} + 2 \, a^{4} d e^{4} + 2 \, {\left(3 \, b^{2} c^{2} - 2 \, a c^{3}\right)} d^{3} e^{2} - {\left(c^{2} d^{3} e^{3} - 2 \, a b d^{2} e^{4}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)}\right)} \sqrt{-\frac{32 \, b c^{3} d^{2} + 32 \, a^{3} b e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)}^{2} d e^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)} {\left(b^{2} + 2 \, a c\right)} d e^{2} + 4 \, {\left(b^{4} - 12 \, a b^{2} c\right)} d e}{d e^{3}}}\right) + {\left(6 \, b^{2} + 12 \, a c + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)} e - 3 \, \sqrt{\frac{1}{3}} e \sqrt{-\frac{32 \, b c^{3} d^{2} + 32 \, a^{3} b e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)}^{2} d e^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)} {\left(b^{2} + 2 \, a c\right)} d e^{2} + 4 \, {\left(b^{4} - 12 \, a b^{2} c\right)} d e}{d e^{3}}}\right)} \log\left(4 \, b c^{5} d^{4} + {\left(5 \, b^{4} c^{2} - 4 \, a b^{2} c^{3} + 2 \, a^{2} c^{4}\right)} d^{3} e - 2 \, {\left(a b^{5} - 2 \, a^{2} b^{3} c + 4 \, a^{3} b c^{2}\right)} d^{2} e^{2} - {\left(7 \, a^{4} b^{2} - 2 \, a^{5} c\right)} d e^{3} + \frac{1}{4} \, {\left(c^{2} d^{3} e^{3} - 2 \, a b d^{2} e^{4}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)}^{2} + \frac{1}{2} \, {\left(a^{4} d e^{4} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{2} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)} - 2 \, {\left(c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(4 \, a b^{3} d^{2} e^{3} + 2 \, a^{4} d e^{4} + 2 \, {\left(3 \, b^{2} c^{2} - 2 \, a c^{3}\right)} d^{3} e^{2} - {\left(c^{2} d^{3} e^{3} - 2 \, a b d^{2} e^{4}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)}\right)} \sqrt{-\frac{32 \, b c^{3} d^{2} + 32 \, a^{3} b e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)}^{2} d e^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b^{2} + 2 \, a c\right)}^{2}}{e^{2}} - \frac{2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}}{d e^{3}}\right)}}{{\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, {\left(b^{2} + 2 \, a c\right)}^{3}}{e^{3}} - \frac{3 \, {\left(2 \, b c^{3} d^{2} + b^{4} d e + 3 \, a^{2} c^{2} d e + 2 \, a^{3} b e^{2}\right)} {\left(b^{2} + 2 \, a c\right)}}{d e^{4}} + \frac{c^{6} d^{4} - 2 \, b^{3} c^{3} d^{3} e + b^{6} d^{2} e^{2} + 9 \, a^{2} b^{2} c^{2} d^{2} e^{2} + 6 \, a^{4} b c d e^{3} + a^{6} e^{4} + 2 \, {\left(c^{3} d^{2} e^{2} - b^{3} d e^{3}\right)} a^{3} + 6 \, {\left(b c^{4} d^{3} e - b^{4} c d^{2} e^{2}\right)} a}{d^{2} e^{5}} - \frac{c^{6} d^{4} - a^{6} e^{4} + 2 \, {\left(4 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{3} e - 2 \, {\left(4 \, a^{3} b^{3} - 3 \, a^{4} b c\right)} d e^{3}}{d^{2} e^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, {\left(b^{2} + 2 \, a c\right)}}{e}\right)} {\left(b^{2} + 2 \, a c\right)} d e^{2} + 4 \, {\left(b^{4} - 12 \, a b^{2} c\right)} d e}{d e^{3}}}\right)}{12 \, e}"," ",0,"1/12*(6*c^2*x^2 + 24*b*c*x - 2*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)*e*log(-4*b*c^5*d^4 - (5*b^4*c^2 - 4*a*b^2*c^3 + 2*a^2*c^4)*d^3*e + 2*(a*b^5 - 2*a^2*b^3*c + 4*a^3*b*c^2)*d^2*e^2 + (7*a^4*b^2 - 2*a^5*c)*d*e^3 - 1/4*(c^2*d^3*e^3 - 2*a*b*d^2*e^4)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)^2 - 1/2*(a^4*d*e^4 + 2*(3*b^2*c^2 + 2*a*c^3)*d^3*e^2 - 4*(a*b^3 + 3*a^2*b*c)*d^2*e^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)*x) + (6*b^2 + 12*a*c + (2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)*e + 3*sqrt(1/3)*e*sqrt(-(32*b*c^3*d^2 + 32*a^3*b*e^2 + (2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)^2*d*e^3 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)*(b^2 + 2*a*c)*d*e^2 + 4*(b^4 - 12*a*b^2*c)*d*e)/(d*e^3)))*log(4*b*c^5*d^4 + (5*b^4*c^2 - 4*a*b^2*c^3 + 2*a^2*c^4)*d^3*e - 2*(a*b^5 - 2*a^2*b^3*c + 4*a^3*b*c^2)*d^2*e^2 - (7*a^4*b^2 - 2*a^5*c)*d*e^3 + 1/4*(c^2*d^3*e^3 - 2*a*b*d^2*e^4)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)^2 + 1/2*(a^4*d*e^4 + 2*(3*b^2*c^2 + 2*a*c^3)*d^3*e^2 - 4*(a*b^3 + 3*a^2*b*c)*d^2*e^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e) - 2*(c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)*x + 3/4*sqrt(1/3)*(4*a*b^3*d^2*e^3 + 2*a^4*d*e^4 + 2*(3*b^2*c^2 - 2*a*c^3)*d^3*e^2 - (c^2*d^3*e^3 - 2*a*b*d^2*e^4)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e))*sqrt(-(32*b*c^3*d^2 + 32*a^3*b*e^2 + (2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)^2*d*e^3 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)*(b^2 + 2*a*c)*d*e^2 + 4*(b^4 - 12*a*b^2*c)*d*e)/(d*e^3))) + (6*b^2 + 12*a*c + (2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)*e - 3*sqrt(1/3)*e*sqrt(-(32*b*c^3*d^2 + 32*a^3*b*e^2 + (2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)^2*d*e^3 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)*(b^2 + 2*a*c)*d*e^2 + 4*(b^4 - 12*a*b^2*c)*d*e)/(d*e^3)))*log(4*b*c^5*d^4 + (5*b^4*c^2 - 4*a*b^2*c^3 + 2*a^2*c^4)*d^3*e - 2*(a*b^5 - 2*a^2*b^3*c + 4*a^3*b*c^2)*d^2*e^2 - (7*a^4*b^2 - 2*a^5*c)*d*e^3 + 1/4*(c^2*d^3*e^3 - 2*a*b*d^2*e^4)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)^2 + 1/2*(a^4*d*e^4 + 2*(3*b^2*c^2 + 2*a*c^3)*d^3*e^2 - 4*(a*b^3 + 3*a^2*b*c)*d^2*e^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e) - 2*(c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)*x - 3/4*sqrt(1/3)*(4*a*b^3*d^2*e^3 + 2*a^4*d*e^4 + 2*(3*b^2*c^2 - 2*a*c^3)*d^3*e^2 - (c^2*d^3*e^3 - 2*a*b*d^2*e^4)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e))*sqrt(-(32*b*c^3*d^2 + 32*a^3*b*e^2 + (2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)^2*d*e^3 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((b^2 + 2*a*c)^2/e^2 - (2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)/(d*e^3))/(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*(b^2 + 2*a*c)^3/e^3 - 3*(2*b*c^3*d^2 + b^4*d*e + 3*a^2*c^2*d*e + 2*a^3*b*e^2)*(b^2 + 2*a*c)/(d*e^4) + (c^6*d^4 - 2*b^3*c^3*d^3*e + b^6*d^2*e^2 + 9*a^2*b^2*c^2*d^2*e^2 + 6*a^4*b*c*d*e^3 + a^6*e^4 + 2*(c^3*d^2*e^2 - b^3*d*e^3)*a^3 + 6*(b*c^4*d^3*e - b^4*c*d^2*e^2)*a)/(d^2*e^5) - (c^6*d^4 - a^6*e^4 + 2*(4*b^3*c^3 - 3*a*b*c^4)*d^3*e - 2*(4*a^3*b^3 - 3*a^4*b*c)*d*e^3)/(d^2*e^5))^(1/3) - 2*(b^2 + 2*a*c)/e)*(b^2 + 2*a*c)*d*e^2 + 4*(b^4 - 12*a*b^2*c)*d*e)/(d*e^3))))/e","C",0
74,-1,0,0,0.000000," ","integrate((c*x^2+b*x+a)^3/(e*x^3+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate((c*x^2+b*x+a)^4/(e*x^3+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,1,37,0,0.409133," ","integrate((x^4+2*x^2)/(x^3+1),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{2} \, \log\left(x^{2} - x + 1\right) + \log\left(x + 1\right)"," ",0,"1/2*x^2 - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/2*log(x^2 - x + 1) + log(x + 1)","A",0
77,1,37,0,0.407640," ","integrate((x^4+2*x^2)/(-x^3+1),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{2} \, \log\left(x^{2} + x + 1\right) - \log\left(x - 1\right)"," ",0,"-1/2*x^2 - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/2*log(x^2 + x + 1) - log(x - 1)","A",0
78,1,37,0,0.397205," ","integrate((4*x^3-x+1)/(x^3+1),x, algorithm=""fricas"")","-\frac{4}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + 4 \, x + \frac{1}{3} \, \log\left(x^{2} - x + 1\right) - \frac{2}{3} \, \log\left(x + 1\right)"," ",0,"-4/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 4*x + 1/3*log(x^2 - x + 1) - 2/3*log(x + 1)","A",0
79,0,0,0,0.428956," ","integrate((1+x+3^(1/2))/(x^3+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x + \sqrt{3} + 1}{\sqrt{x^{3} + 1}}, x\right)"," ",0,"integral((x + sqrt(3) + 1)/sqrt(x^3 + 1), x)","F",0
80,0,0,0,0.433548," ","integrate((1-x+3^(1/2))/(-x^3+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-x^{3} + 1} {\left(x - \sqrt{3} - 1\right)}}{x^{3} - 1}, x\right)"," ",0,"integral(sqrt(-x^3 + 1)*(x - sqrt(3) - 1)/(x^3 - 1), x)","F",0
81,0,0,0,0.424613," ","integrate((1-x+3^(1/2))/(x^3-1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{x - \sqrt{3} - 1}{\sqrt{x^{3} - 1}}, x\right)"," ",0,"integral(-(x - sqrt(3) - 1)/sqrt(x^3 - 1), x)","F",0
82,0,0,0,0.411514," ","integrate((1+x+3^(1/2))/(-x^3-1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-x^{3} - 1} {\left(x + \sqrt{3} + 1\right)}}{x^{3} + 1}, x\right)"," ",0,"integral(-sqrt(-x^3 - 1)*(x + sqrt(3) + 1)/(x^3 + 1), x)","F",0
83,0,0,0,0.440130," ","integrate((b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((b^(1/3)*x + a^(1/3)*(sqrt(3) + 1))/sqrt(b*x^3 + a), x)","F",0
84,0,0,0,0.438527," ","integrate((-b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(-b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b x^{3} + a} b^{\frac{1}{3}} x - \sqrt{-b x^{3} + a} a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}}{b x^{3} - a}, x\right)"," ",0,"integral((sqrt(-b*x^3 + a)*b^(1/3)*x - sqrt(-b*x^3 + a)*a^(1/3)*(sqrt(3) + 1))/(b*x^3 - a), x)","F",0
85,0,0,0,0.425293," ","integrate((-b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(b*x^3-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}}{\sqrt{b x^{3} - a}}, x\right)"," ",0,"integral(-(b^(1/3)*x - a^(1/3)*(sqrt(3) + 1))/sqrt(b*x^3 - a), x)","F",0
86,0,0,0,0.456257," ","integrate((b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(-b*x^3-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-b x^{3} - a} b^{\frac{1}{3}} x + \sqrt{-b x^{3} - a} a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}}{b x^{3} + a}, x\right)"," ",0,"integral(-(sqrt(-b*x^3 - a)*b^(1/3)*x + sqrt(-b*x^3 - a)*a^(1/3)*(sqrt(3) + 1))/(b*x^3 + a), x)","F",0
87,0,0,0,0.438580," ","integrate((1+(b/a)^(1/3)*x+3^(1/2))/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{3} + 1}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((x*(b/a)^(1/3) + sqrt(3) + 1)/sqrt(b*x^3 + a), x)","F",0
88,0,0,0,0.440103," ","integrate((1-(b/a)^(1/3)*x+3^(1/2))/(-b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b x^{3} + a} x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{-b x^{3} + a} {\left(\sqrt{3} + 1\right)}}{b x^{3} - a}, x\right)"," ",0,"integral((sqrt(-b*x^3 + a)*x*(b/a)^(1/3) - sqrt(-b*x^3 + a)*(sqrt(3) + 1))/(b*x^3 - a), x)","F",0
89,0,0,0,0.434669," ","integrate((1-(b/a)^(1/3)*x+3^(1/2))/(b*x^3-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{3} - 1}{\sqrt{b x^{3} - a}}, x\right)"," ",0,"integral(-(x*(b/a)^(1/3) - sqrt(3) - 1)/sqrt(b*x^3 - a), x)","F",0
90,0,0,0,0.424451," ","integrate((1+(b/a)^(1/3)*x+3^(1/2))/(-b*x^3-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-b x^{3} - a} x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{-b x^{3} - a} {\left(\sqrt{3} + 1\right)}}{b x^{3} + a}, x\right)"," ",0,"integral(-(sqrt(-b*x^3 - a)*x*(b/a)^(1/3) + sqrt(-b*x^3 - a)*(sqrt(3) + 1))/(b*x^3 + a), x)","F",0
91,0,0,0,0.439049," ","integrate((1+x-3^(1/2))/(x^3+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x - \sqrt{3} + 1}{\sqrt{x^{3} + 1}}, x\right)"," ",0,"integral((x - sqrt(3) + 1)/sqrt(x^3 + 1), x)","F",0
92,0,0,0,0.442766," ","integrate((1-x-3^(1/2))/(-x^3+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-x^{3} + 1} {\left(x + \sqrt{3} - 1\right)}}{x^{3} - 1}, x\right)"," ",0,"integral(sqrt(-x^3 + 1)*(x + sqrt(3) - 1)/(x^3 - 1), x)","F",0
93,0,0,0,0.440104," ","integrate((1-x-3^(1/2))/(x^3-1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{x + \sqrt{3} - 1}{\sqrt{x^{3} - 1}}, x\right)"," ",0,"integral(-(x + sqrt(3) - 1)/sqrt(x^3 - 1), x)","F",0
94,0,0,0,0.445926," ","integrate((1+x-3^(1/2))/(-x^3-1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-x^{3} - 1} {\left(x - \sqrt{3} + 1\right)}}{x^{3} + 1}, x\right)"," ",0,"integral(-sqrt(-x^3 - 1)*(x - sqrt(3) + 1)/(x^3 + 1), x)","F",0
95,0,0,0,0.437973," ","integrate((-1-x+3^(1/2))/(x^3+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{x - \sqrt{3} + 1}{\sqrt{x^{3} + 1}}, x\right)"," ",0,"integral(-(x - sqrt(3) + 1)/sqrt(x^3 + 1), x)","F",0
96,0,0,0,0.485008," ","integrate((-1+x+3^(1/2))/(-x^3+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-x^{3} + 1} {\left(x + \sqrt{3} - 1\right)}}{x^{3} - 1}, x\right)"," ",0,"integral(-sqrt(-x^3 + 1)*(x + sqrt(3) - 1)/(x^3 - 1), x)","F",0
97,0,0,0,0.447988," ","integrate((-1+x+3^(1/2))/(x^3-1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x + \sqrt{3} - 1}{\sqrt{x^{3} - 1}}, x\right)"," ",0,"integral((x + sqrt(3) - 1)/sqrt(x^3 - 1), x)","F",0
98,0,0,0,0.425466," ","integrate((-1-x+3^(1/2))/(-x^3-1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-x^{3} - 1} {\left(x - \sqrt{3} + 1\right)}}{x^{3} + 1}, x\right)"," ",0,"integral(sqrt(-x^3 - 1)*(x - sqrt(3) + 1)/(x^3 + 1), x)","F",0
99,0,0,0,0.452795," ","integrate((b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((b^(1/3)*x - a^(1/3)*(sqrt(3) - 1))/sqrt(b*x^3 + a), x)","F",0
100,0,0,0,0.440963," ","integrate((-b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(-b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b x^{3} + a} b^{\frac{1}{3}} x + \sqrt{-b x^{3} + a} a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}}{b x^{3} - a}, x\right)"," ",0,"integral((sqrt(-b*x^3 + a)*b^(1/3)*x + sqrt(-b*x^3 + a)*a^(1/3)*(sqrt(3) - 1))/(b*x^3 - a), x)","F",0
101,0,0,0,0.481573," ","integrate((-b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(b*x^3-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}}{\sqrt{b x^{3} - a}}, x\right)"," ",0,"integral(-(b^(1/3)*x + a^(1/3)*(sqrt(3) - 1))/sqrt(b*x^3 - a), x)","F",0
102,0,0,0,0.465414," ","integrate((b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(-b*x^3-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-b x^{3} - a} b^{\frac{1}{3}} x - \sqrt{-b x^{3} - a} a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}}{b x^{3} + a}, x\right)"," ",0,"integral(-(sqrt(-b*x^3 - a)*b^(1/3)*x - sqrt(-b*x^3 - a)*a^(1/3)*(sqrt(3) - 1))/(b*x^3 + a), x)","F",0
103,0,0,0,0.428093," ","integrate((1+(b/a)^(1/3)*x-3^(1/2))/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{3} + 1}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((x*(b/a)^(1/3) - sqrt(3) + 1)/sqrt(b*x^3 + a), x)","F",0
104,0,0,0,0.429773," ","integrate((1-(b/a)^(1/3)*x-3^(1/2))/(-b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-b x^{3} + a} x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{-b x^{3} + a} {\left(\sqrt{3} - 1\right)}}{b x^{3} - a}, x\right)"," ",0,"integral((sqrt(-b*x^3 + a)*x*(b/a)^(1/3) + sqrt(-b*x^3 + a)*(sqrt(3) - 1))/(b*x^3 - a), x)","F",0
105,0,0,0,0.442034," ","integrate((1-(b/a)^(1/3)*x-3^(1/2))/(b*x^3-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{3} - 1}{\sqrt{b x^{3} - a}}, x\right)"," ",0,"integral(-(x*(b/a)^(1/3) + sqrt(3) - 1)/sqrt(b*x^3 - a), x)","F",0
106,0,0,0,0.433045," ","integrate((1+(b/a)^(1/3)*x-3^(1/2))/(-b*x^3-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-b x^{3} - a} x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{-b x^{3} - a} {\left(\sqrt{3} - 1\right)}}{b x^{3} + a}, x\right)"," ",0,"integral(-(sqrt(-b*x^3 - a)*x*(b/a)^(1/3) - sqrt(-b*x^3 - a)*(sqrt(3) - 1))/(b*x^3 + a), x)","F",0
107,0,0,0,0.411927," ","integrate((d*x+c)/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x + c}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((d*x + c)/sqrt(b*x^3 + a), x)","F",0
108,0,0,0,0.434883," ","integrate((d*x+c)/(-b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-b x^{3} + a} {\left(d x + c\right)}}{b x^{3} - a}, x\right)"," ",0,"integral(-sqrt(-b*x^3 + a)*(d*x + c)/(b*x^3 - a), x)","F",0
109,0,0,0,0.422478," ","integrate((d*x+c)/(b*x^3-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x + c}{\sqrt{b x^{3} - a}}, x\right)"," ",0,"integral((d*x + c)/sqrt(b*x^3 - a), x)","F",0
110,0,0,0,0.420652," ","integrate((d*x+c)/(-b*x^3-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-b x^{3} - a} {\left(d x + c\right)}}{b x^{3} + a}, x\right)"," ",0,"integral(-sqrt(-b*x^3 - a)*(d*x + c)/(b*x^3 + a), x)","F",0
111,0,0,0,0.451394," ","integrate((d*x+c)/(x^3+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x + c}{\sqrt{x^{3} + 1}}, x\right)"," ",0,"integral((d*x + c)/sqrt(x^3 + 1), x)","F",0
112,0,0,0,0.415766," ","integrate((d*x+c)/(-x^3+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-x^{3} + 1} {\left(d x + c\right)}}{x^{3} - 1}, x\right)"," ",0,"integral(-sqrt(-x^3 + 1)*(d*x + c)/(x^3 - 1), x)","F",0
113,0,0,0,0.425232," ","integrate((d*x+c)/(x^3-1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x + c}{\sqrt{x^{3} - 1}}, x\right)"," ",0,"integral((d*x + c)/sqrt(x^3 - 1), x)","F",0
114,0,0,0,0.426612," ","integrate((d*x+c)/(-x^3-1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-x^{3} - 1} {\left(d x + c\right)}}{x^{3} + 1}, x\right)"," ",0,"integral(-sqrt(-x^3 - 1)*(d*x + c)/(x^3 + 1), x)","F",0
115,-1,0,0,0.000000," ","integrate((d*x+c)/(-b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
116,-1,0,0,0.000000," ","integrate((d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
117,-1,0,0,0.000000," ","integrate((d*x+c)/(-b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-1,0,0,0.000000," ","integrate((d*x+c)/(b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,-1,0,0,0.000000," ","integrate((d*x+c)/(-b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,-1,0,0,0.000000," ","integrate((d*x+c)/(b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,-1,0,0,0.000000," ","integrate((d*x+c)/(-b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,-1,0,0,0.000000," ","integrate((d*x+c)/(b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
123,1,35,0,0.411527," ","integrate((d*x+c)/(-x^4+1),x, algorithm=""fricas"")","\frac{1}{2} \, c \arctan\left(x\right) + \frac{1}{4} \, d \log\left(x^{2} + 1\right) + \frac{1}{4} \, {\left(c - d\right)} \log\left(x + 1\right) - \frac{1}{4} \, {\left(c + d\right)} \log\left(x - 1\right)"," ",0,"1/2*c*arctan(x) + 1/4*d*log(x^2 + 1) + 1/4*(c - d)*log(x + 1) - 1/4*(c + d)*log(x - 1)","A",0
124,-1,0,0,0.000000," ","integrate((d*x+c)/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,-1,0,0,0.000000," ","integrate((e*x^2+d*x+c)/(-b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,-1,0,0,0.000000," ","integrate((e*x^2+d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
127,-1,0,0,0.000000," ","integrate((e*x^2+d*x+c)/(-b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,-1,0,0,0.000000," ","integrate((e*x^2+d*x+c)/(b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate((e*x^2+d*x+c)/(-b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate((e*x^2+d*x+c)/(b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate((e*x^2+d*x+c)/(-b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate((e*x^2+d*x+c)/(b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,1,24,0,0.360192," ","integrate(a*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{9} x^{9} f^{2} a + \frac{2}{5} x^{5} f e a + x e^{2} a"," ",0,"1/9*x^9*f^2*a + 2/5*x^5*f*e*a + x*e^2*a","A",0
134,1,27,0,0.350234," ","integrate(b*x*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{10} x^{10} f^{2} b + \frac{1}{3} x^{6} f e b + \frac{1}{2} x^{2} e^{2} b"," ",0,"1/10*x^10*f^2*b + 1/3*x^6*f*e*b + 1/2*x^2*e^2*b","A",0
135,1,50,0,0.365307," ","integrate((b*x+a)*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{10} x^{10} f^{2} b + \frac{1}{9} x^{9} f^{2} a + \frac{1}{3} x^{6} f e b + \frac{2}{5} x^{5} f e a + \frac{1}{2} x^{2} e^{2} b + x e^{2} a"," ",0,"1/10*x^10*f^2*b + 1/9*x^9*f^2*a + 1/3*x^6*f*e*b + 2/5*x^5*f*e*a + 1/2*x^2*e^2*b + x*e^2*a","A",0
136,1,27,0,0.366464," ","integrate(c*x^2*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{11} x^{11} f^{2} c + \frac{2}{7} x^{7} f e c + \frac{1}{3} x^{3} e^{2} c"," ",0,"1/11*x^11*f^2*c + 2/7*x^7*f*e*c + 1/3*x^3*e^2*c","A",0
137,1,50,0,0.366877," ","integrate((c*x^2+a)*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{11} x^{11} f^{2} c + \frac{1}{9} x^{9} f^{2} a + \frac{2}{7} x^{7} f e c + \frac{2}{5} x^{5} f e a + \frac{1}{3} x^{3} e^{2} c + x e^{2} a"," ",0,"1/11*x^11*f^2*c + 1/9*x^9*f^2*a + 2/7*x^7*f*e*c + 2/5*x^5*f*e*a + 1/3*x^3*e^2*c + x*e^2*a","A",0
138,1,53,0,0.367490," ","integrate((c*x^2+b*x)*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{11} x^{11} f^{2} c + \frac{1}{10} x^{10} f^{2} b + \frac{2}{7} x^{7} f e c + \frac{1}{3} x^{6} f e b + \frac{1}{3} x^{3} e^{2} c + \frac{1}{2} x^{2} e^{2} b"," ",0,"1/11*x^11*f^2*c + 1/10*x^10*f^2*b + 2/7*x^7*f*e*c + 1/3*x^6*f*e*b + 1/3*x^3*e^2*c + 1/2*x^2*e^2*b","A",0
139,1,76,0,0.366824," ","integrate((c*x^2+b*x+a)*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{11} x^{11} f^{2} c + \frac{1}{10} x^{10} f^{2} b + \frac{1}{9} x^{9} f^{2} a + \frac{2}{7} x^{7} f e c + \frac{1}{3} x^{6} f e b + \frac{2}{5} x^{5} f e a + \frac{1}{3} x^{3} e^{2} c + \frac{1}{2} x^{2} e^{2} b + x e^{2} a"," ",0,"1/11*x^11*f^2*c + 1/10*x^10*f^2*b + 1/9*x^9*f^2*a + 2/7*x^7*f*e*c + 1/3*x^6*f*e*b + 2/5*x^5*f*e*a + 1/3*x^3*e^2*c + 1/2*x^2*e^2*b + x*e^2*a","A",0
140,1,27,0,0.380317," ","integrate(d*x^3*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} f^{2} d + \frac{1}{4} x^{8} f e d + \frac{1}{4} x^{4} e^{2} d"," ",0,"1/12*x^12*f^2*d + 1/4*x^8*f*e*d + 1/4*x^4*e^2*d","A",0
141,1,50,0,0.347295," ","integrate((d*x^3+a)*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} f^{2} d + \frac{1}{9} x^{9} f^{2} a + \frac{1}{4} x^{8} f e d + \frac{2}{5} x^{5} f e a + \frac{1}{4} x^{4} e^{2} d + x e^{2} a"," ",0,"1/12*x^12*f^2*d + 1/9*x^9*f^2*a + 1/4*x^8*f*e*d + 2/5*x^5*f*e*a + 1/4*x^4*e^2*d + x*e^2*a","A",0
142,1,53,0,0.358514," ","integrate((d*x^3+b*x)*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} f^{2} d + \frac{1}{10} x^{10} f^{2} b + \frac{1}{4} x^{8} f e d + \frac{1}{3} x^{6} f e b + \frac{1}{4} x^{4} e^{2} d + \frac{1}{2} x^{2} e^{2} b"," ",0,"1/12*x^12*f^2*d + 1/10*x^10*f^2*b + 1/4*x^8*f*e*d + 1/3*x^6*f*e*b + 1/4*x^4*e^2*d + 1/2*x^2*e^2*b","A",0
143,1,76,0,0.367459," ","integrate((d*x^3+b*x+a)*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} f^{2} d + \frac{1}{10} x^{10} f^{2} b + \frac{1}{9} x^{9} f^{2} a + \frac{1}{4} x^{8} f e d + \frac{1}{3} x^{6} f e b + \frac{2}{5} x^{5} f e a + \frac{1}{4} x^{4} e^{2} d + \frac{1}{2} x^{2} e^{2} b + x e^{2} a"," ",0,"1/12*x^12*f^2*d + 1/10*x^10*f^2*b + 1/9*x^9*f^2*a + 1/4*x^8*f*e*d + 1/3*x^6*f*e*b + 2/5*x^5*f*e*a + 1/4*x^4*e^2*d + 1/2*x^2*e^2*b + x*e^2*a","A",0
144,1,53,0,0.358418," ","integrate((d*x^3+c*x^2)*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} f^{2} d + \frac{1}{11} x^{11} f^{2} c + \frac{1}{4} x^{8} f e d + \frac{2}{7} x^{7} f e c + \frac{1}{4} x^{4} e^{2} d + \frac{1}{3} x^{3} e^{2} c"," ",0,"1/12*x^12*f^2*d + 1/11*x^11*f^2*c + 1/4*x^8*f*e*d + 2/7*x^7*f*e*c + 1/4*x^4*e^2*d + 1/3*x^3*e^2*c","A",0
145,1,76,0,0.370834," ","integrate((d*x^3+c*x^2+a)*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} f^{2} d + \frac{1}{11} x^{11} f^{2} c + \frac{1}{9} x^{9} f^{2} a + \frac{1}{4} x^{8} f e d + \frac{2}{7} x^{7} f e c + \frac{2}{5} x^{5} f e a + \frac{1}{4} x^{4} e^{2} d + \frac{1}{3} x^{3} e^{2} c + x e^{2} a"," ",0,"1/12*x^12*f^2*d + 1/11*x^11*f^2*c + 1/9*x^9*f^2*a + 1/4*x^8*f*e*d + 2/7*x^7*f*e*c + 2/5*x^5*f*e*a + 1/4*x^4*e^2*d + 1/3*x^3*e^2*c + x*e^2*a","A",0
146,1,79,0,0.353263," ","integrate((d*x^3+c*x^2+b*x)*(f*x^4+e)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} f^{2} d + \frac{1}{11} x^{11} f^{2} c + \frac{1}{10} x^{10} f^{2} b + \frac{1}{4} x^{8} f e d + \frac{2}{7} x^{7} f e c + \frac{1}{3} x^{6} f e b + \frac{1}{4} x^{4} e^{2} d + \frac{1}{3} x^{3} e^{2} c + \frac{1}{2} x^{2} e^{2} b"," ",0,"1/12*x^12*f^2*d + 1/11*x^11*f^2*c + 1/10*x^10*f^2*b + 1/4*x^8*f*e*d + 2/7*x^7*f*e*c + 1/3*x^6*f*e*b + 1/4*x^4*e^2*d + 1/3*x^3*e^2*c + 1/2*x^2*e^2*b","A",0
147,1,102,0,0.347410," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} f b^{2} + \frac{1}{11} x^{11} e b^{2} + \frac{1}{10} x^{10} d b^{2} + \frac{1}{9} x^{9} c b^{2} + \frac{1}{4} x^{8} f b a + \frac{2}{7} x^{7} e b a + \frac{1}{3} x^{6} d b a + \frac{2}{5} x^{5} c b a + \frac{1}{4} x^{4} f a^{2} + \frac{1}{3} x^{3} e a^{2} + \frac{1}{2} x^{2} d a^{2} + x c a^{2}"," ",0,"1/12*x^12*f*b^2 + 1/11*x^11*e*b^2 + 1/10*x^10*d*b^2 + 1/9*x^9*c*b^2 + 1/4*x^8*f*b*a + 2/7*x^7*e*b*a + 1/3*x^6*d*b*a + 2/5*x^5*c*b*a + 1/4*x^4*f*a^2 + 1/3*x^3*e*a^2 + 1/2*x^2*d*a^2 + x*c*a^2","A",0
148,1,150,0,0.342949," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^3,x, algorithm=""fricas"")","\frac{1}{16} x^{16} f b^{3} + \frac{1}{15} x^{15} e b^{3} + \frac{1}{14} x^{14} d b^{3} + \frac{1}{13} x^{13} c b^{3} + \frac{1}{4} x^{12} f b^{2} a + \frac{3}{11} x^{11} e b^{2} a + \frac{3}{10} x^{10} d b^{2} a + \frac{1}{3} x^{9} c b^{2} a + \frac{3}{8} x^{8} f b a^{2} + \frac{3}{7} x^{7} e b a^{2} + \frac{1}{2} x^{6} d b a^{2} + \frac{3}{5} x^{5} c b a^{2} + \frac{1}{4} x^{4} f a^{3} + \frac{1}{3} x^{3} e a^{3} + \frac{1}{2} x^{2} d a^{3} + x c a^{3}"," ",0,"1/16*x^16*f*b^3 + 1/15*x^15*e*b^3 + 1/14*x^14*d*b^3 + 1/13*x^13*c*b^3 + 1/4*x^12*f*b^2*a + 3/11*x^11*e*b^2*a + 3/10*x^10*d*b^2*a + 1/3*x^9*c*b^2*a + 3/8*x^8*f*b*a^2 + 3/7*x^7*e*b*a^2 + 1/2*x^6*d*b*a^2 + 3/5*x^5*c*b*a^2 + 1/4*x^4*f*a^3 + 1/3*x^3*e*a^3 + 1/2*x^2*d*a^3 + x*c*a^3","A",0
149,-1,0,0,0.000000," ","integrate((f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
150,-1,0,0,0.000000," ","integrate((f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
151,-1,0,0,0.000000," ","integrate((f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,1,284,0,0.447134," ","integrate(a/(3*x^4+2),x, algorithm=""fricas"")","-\frac{1}{48} \cdot 24^{\frac{3}{4}} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} \arctan\left(-\frac{4 \, a^{3} + 2 \cdot 24^{\frac{1}{4}} \sqrt{2} {\left(a^{4}\right)}^{\frac{3}{4}} x - 24^{\frac{1}{4}} \sqrt{2} \sqrt{\frac{1}{3}} {\left(a^{4}\right)}^{\frac{3}{4}} \sqrt{\frac{12 \, a^{2} x^{2} + 24^{\frac{3}{4}} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a x + 4 \, \sqrt{6} \sqrt{a^{4}}}{a^{2}}}}{4 \, a^{3}}\right) - \frac{1}{48} \cdot 24^{\frac{3}{4}} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} \arctan\left(\frac{4 \, a^{3} - 2 \cdot 24^{\frac{1}{4}} \sqrt{2} {\left(a^{4}\right)}^{\frac{3}{4}} x + 24^{\frac{1}{4}} \sqrt{2} \sqrt{\frac{1}{3}} {\left(a^{4}\right)}^{\frac{3}{4}} \sqrt{\frac{12 \, a^{2} x^{2} - 24^{\frac{3}{4}} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a x + 4 \, \sqrt{6} \sqrt{a^{4}}}{a^{2}}}}{4 \, a^{3}}\right) + \frac{1}{192} \cdot 24^{\frac{3}{4}} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} \log\left(12 \, a^{2} x^{2} + 24^{\frac{3}{4}} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a x + 4 \, \sqrt{6} \sqrt{a^{4}}\right) - \frac{1}{192} \cdot 24^{\frac{3}{4}} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} \log\left(12 \, a^{2} x^{2} - 24^{\frac{3}{4}} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a x + 4 \, \sqrt{6} \sqrt{a^{4}}\right)"," ",0,"-1/48*24^(3/4)*sqrt(2)*(a^4)^(1/4)*arctan(-1/4*(4*a^3 + 2*24^(1/4)*sqrt(2)*(a^4)^(3/4)*x - 24^(1/4)*sqrt(2)*sqrt(1/3)*(a^4)^(3/4)*sqrt((12*a^2*x^2 + 24^(3/4)*sqrt(2)*(a^4)^(1/4)*a*x + 4*sqrt(6)*sqrt(a^4))/a^2))/a^3) - 1/48*24^(3/4)*sqrt(2)*(a^4)^(1/4)*arctan(1/4*(4*a^3 - 2*24^(1/4)*sqrt(2)*(a^4)^(3/4)*x + 24^(1/4)*sqrt(2)*sqrt(1/3)*(a^4)^(3/4)*sqrt((12*a^2*x^2 - 24^(3/4)*sqrt(2)*(a^4)^(1/4)*a*x + 4*sqrt(6)*sqrt(a^4))/a^2))/a^3) + 1/192*24^(3/4)*sqrt(2)*(a^4)^(1/4)*log(12*a^2*x^2 + 24^(3/4)*sqrt(2)*(a^4)^(1/4)*a*x + 4*sqrt(6)*sqrt(a^4)) - 1/192*24^(3/4)*sqrt(2)*(a^4)^(1/4)*log(12*a^2*x^2 - 24^(3/4)*sqrt(2)*(a^4)^(1/4)*a*x + 4*sqrt(6)*sqrt(a^4))","B",0
153,1,15,0,0.412156," ","integrate(b*x/(3*x^4+2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{6} b \arctan\left(\frac{1}{2} \, \sqrt{6} x^{2}\right)"," ",0,"1/12*sqrt(6)*b*arctan(1/2*sqrt(6)*x^2)","A",0
154,-1,0,0,0.000000," ","integrate((b*x+a)/(3*x^4+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
155,1,278,0,0.413235," ","integrate(c*x^2/(3*x^4+2),x, algorithm=""fricas"")","-\frac{1}{108} \cdot 54^{\frac{3}{4}} \sqrt{2} {\left(c^{4}\right)}^{\frac{1}{4}} \arctan\left(-\frac{54^{\frac{3}{4}} \sqrt{2} {\left(c^{4}\right)}^{\frac{1}{4}} x - 54^{\frac{3}{4}} \sqrt{2} \sqrt{\frac{1}{3}} {\left(c^{4}\right)}^{\frac{1}{4}} \sqrt{\frac{3 \, c^{3} x^{2} + 54^{\frac{1}{4}} \sqrt{2} {\left(c^{4}\right)}^{\frac{3}{4}} x + \sqrt{6} \sqrt{c^{4}} c}{c^{3}}} + 18 \, c}{18 \, c}\right) - \frac{1}{108} \cdot 54^{\frac{3}{4}} \sqrt{2} {\left(c^{4}\right)}^{\frac{1}{4}} \arctan\left(-\frac{54^{\frac{3}{4}} \sqrt{2} {\left(c^{4}\right)}^{\frac{1}{4}} x - 54^{\frac{3}{4}} \sqrt{2} \sqrt{\frac{1}{3}} {\left(c^{4}\right)}^{\frac{1}{4}} \sqrt{\frac{3 \, c^{3} x^{2} - 54^{\frac{1}{4}} \sqrt{2} {\left(c^{4}\right)}^{\frac{3}{4}} x + \sqrt{6} \sqrt{c^{4}} c}{c^{3}}} - 18 \, c}{18 \, c}\right) - \frac{1}{432} \cdot 54^{\frac{3}{4}} \sqrt{2} {\left(c^{4}\right)}^{\frac{1}{4}} \log\left(9 \, c^{3} x^{2} + 3 \cdot 54^{\frac{1}{4}} \sqrt{2} {\left(c^{4}\right)}^{\frac{3}{4}} x + 3 \, \sqrt{6} \sqrt{c^{4}} c\right) + \frac{1}{432} \cdot 54^{\frac{3}{4}} \sqrt{2} {\left(c^{4}\right)}^{\frac{1}{4}} \log\left(9 \, c^{3} x^{2} - 3 \cdot 54^{\frac{1}{4}} \sqrt{2} {\left(c^{4}\right)}^{\frac{3}{4}} x + 3 \, \sqrt{6} \sqrt{c^{4}} c\right)"," ",0,"-1/108*54^(3/4)*sqrt(2)*(c^4)^(1/4)*arctan(-1/18*(54^(3/4)*sqrt(2)*(c^4)^(1/4)*x - 54^(3/4)*sqrt(2)*sqrt(1/3)*(c^4)^(1/4)*sqrt((3*c^3*x^2 + 54^(1/4)*sqrt(2)*(c^4)^(3/4)*x + sqrt(6)*sqrt(c^4)*c)/c^3) + 18*c)/c) - 1/108*54^(3/4)*sqrt(2)*(c^4)^(1/4)*arctan(-1/18*(54^(3/4)*sqrt(2)*(c^4)^(1/4)*x - 54^(3/4)*sqrt(2)*sqrt(1/3)*(c^4)^(1/4)*sqrt((3*c^3*x^2 - 54^(1/4)*sqrt(2)*(c^4)^(3/4)*x + sqrt(6)*sqrt(c^4)*c)/c^3) - 18*c)/c) - 1/432*54^(3/4)*sqrt(2)*(c^4)^(1/4)*log(9*c^3*x^2 + 3*54^(1/4)*sqrt(2)*(c^4)^(3/4)*x + 3*sqrt(6)*sqrt(c^4)*c) + 1/432*54^(3/4)*sqrt(2)*(c^4)^(1/4)*log(9*c^3*x^2 - 3*54^(1/4)*sqrt(2)*(c^4)^(3/4)*x + 3*sqrt(6)*sqrt(c^4)*c)","B",0
156,1,2278,0,0.477970," ","integrate((c*x^2+a)/(3*x^4+2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{6} \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} \arctan\left(-\frac{\sqrt{2} \sqrt{\frac{1}{3}} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} {\left(\sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} a - 2 \, \sqrt{6} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} {\left(3 \, a^{2} c + 2 \, c^{3}\right)}\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} \sqrt{\frac{3 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} x^{2} + \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(\sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} c x - 3 \, {\left(3 \, a^{3} + 2 \, a c^{2}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(3 \, a^{2} + 2 \, c^{2}\right)}}{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}}} - \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} {\left(\sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} a x - 2 \, \sqrt{6} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} {\left(3 \, a^{2} c + 2 \, c^{3}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + 2 \, \sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}}{12 \, {\left(81 \, a^{8} + 108 \, a^{6} c^{2} - 48 \, a^{2} c^{6} - 16 \, c^{8}\right)}}\right) + 2 \, \sqrt{6} \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} \arctan\left(-\frac{\sqrt{2} \sqrt{\frac{1}{3}} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} {\left(\sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} a - 2 \, \sqrt{6} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} {\left(3 \, a^{2} c + 2 \, c^{3}\right)}\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} \sqrt{\frac{3 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} x^{2} - \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(\sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} c x - 3 \, {\left(3 \, a^{3} + 2 \, a c^{2}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(3 \, a^{2} + 2 \, c^{2}\right)}}{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}}} - \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} {\left(\sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} a x - 2 \, \sqrt{6} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} {\left(3 \, a^{2} c + 2 \, c^{3}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} - 2 \, \sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}}{12 \, {\left(81 \, a^{8} + 108 \, a^{6} c^{2} - 48 \, a^{2} c^{6} - 16 \, c^{8}\right)}}\right) - 3 \, \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} - 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} \log\left(3 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} x^{2} + \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(\sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} c x - 3 \, {\left(3 \, a^{3} + 2 \, a c^{2}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(3 \, a^{2} + 2 \, c^{2}\right)}\right) + 3 \, \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} - 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} \log\left(3 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} x^{2} - \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(\sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} c x - 3 \, {\left(3 \, a^{3} + 2 \, a c^{2}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(3 \, a^{2} + 2 \, c^{2}\right)}\right)}{144 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)}}"," ",0,"1/144*(2*sqrt(6)*sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4))*arctan(-1/12*(sqrt(2)*sqrt(1/3)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*(sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*a - 2*sqrt(6)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*(3*a^2*c + 2*c^3))*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4))*sqrt((3*(9*a^4 + 12*a^2*c^2 + 4*c^4)*x^2 + sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*c*x - 3*(3*a^3 + 2*a*c^2)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(3*a^2 + 2*c^2))/(9*a^4 + 12*a^2*c^2 + 4*c^4)) - sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*(sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*a*x - 2*sqrt(6)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*(3*a^2*c + 2*c^3)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + 2*sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(9*a^4 + 12*a^2*c^2 + 4*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4))/(81*a^8 + 108*a^6*c^2 - 48*a^2*c^6 - 16*c^8)) + 2*sqrt(6)*sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4))*arctan(-1/12*(sqrt(2)*sqrt(1/3)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*(sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*a - 2*sqrt(6)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*(3*a^2*c + 2*c^3))*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4))*sqrt((3*(9*a^4 + 12*a^2*c^2 + 4*c^4)*x^2 - sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*c*x - 3*(3*a^3 + 2*a*c^2)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(3*a^2 + 2*c^2))/(9*a^4 + 12*a^2*c^2 + 4*c^4)) - sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*(sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*a*x - 2*sqrt(6)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*(3*a^2*c + 2*c^3)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) - 2*sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(9*a^4 + 12*a^2*c^2 + 4*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4))/(81*a^8 + 108*a^6*c^2 - 48*a^2*c^6 - 16*c^8)) - 3*sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(9*a^4 + 12*a^2*c^2 + 4*c^4 - 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4))*log(3*(9*a^4 + 12*a^2*c^2 + 4*c^4)*x^2 + sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*c*x - 3*(3*a^3 + 2*a*c^2)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(3*a^2 + 2*c^2)) + 3*sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(9*a^4 + 12*a^2*c^2 + 4*c^4 - 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4))*log(3*(9*a^4 + 12*a^2*c^2 + 4*c^4)*x^2 - sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*c*x - 3*(3*a^3 + 2*a*c^2)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(3*a^2 + 2*c^2)))/(9*a^4 + 12*a^2*c^2 + 4*c^4)","B",0
157,-1,0,0,0.000000," ","integrate((c*x^2+b*x)/(3*x^4+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,-1,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(3*x^4+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
159,1,11,0,0.392035," ","integrate(d*x^3/(3*x^4+2),x, algorithm=""fricas"")","\frac{1}{12} \, d \log\left(3 \, x^{4} + 2\right)"," ",0,"1/12*d*log(3*x^4 + 2)","A",0
160,1,359,0,0.433730," ","integrate((d*x^3+a)/(3*x^4+2),x, algorithm=""fricas"")","-\frac{4 \cdot 6^{\frac{1}{4}} \sqrt{3} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a^{4} \arctan\left(-\frac{6^{\frac{3}{4}} \sqrt{3} \sqrt{2} {\left(a^{4}\right)}^{\frac{3}{4}} a^{4} x - 6^{\frac{3}{4}} \sqrt{3} \sqrt{2} \sqrt{\frac{1}{3}} {\left(a^{4}\right)}^{\frac{3}{4}} a^{4} \sqrt{\frac{3 \, a^{2} x^{2} + 6^{\frac{1}{4}} \sqrt{3} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a x + \sqrt{6} \sqrt{a^{4}}}{a^{2}}} + 6 \, a^{7}}{6 \, a^{7}}\right) + 4 \cdot 6^{\frac{1}{4}} \sqrt{3} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a^{4} \arctan\left(-\frac{6^{\frac{3}{4}} \sqrt{3} \sqrt{2} {\left(a^{4}\right)}^{\frac{3}{4}} a^{4} x - 6^{\frac{3}{4}} \sqrt{3} \sqrt{2} \sqrt{\frac{1}{3}} {\left(a^{4}\right)}^{\frac{3}{4}} a^{4} \sqrt{\frac{3 \, a^{2} x^{2} - 6^{\frac{1}{4}} \sqrt{3} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a x + \sqrt{6} \sqrt{a^{4}}}{a^{2}}} - 6 \, a^{7}}{6 \, a^{7}}\right) - {\left(6^{\frac{1}{4}} \sqrt{3} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a^{4} + 4 \, a^{4} d\right)} \log\left(3 \, a^{2} x^{2} + 6^{\frac{1}{4}} \sqrt{3} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a x + \sqrt{6} \sqrt{a^{4}}\right) + {\left(6^{\frac{1}{4}} \sqrt{3} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a^{4} - 4 \, a^{4} d\right)} \log\left(3 \, a^{2} x^{2} - 6^{\frac{1}{4}} \sqrt{3} \sqrt{2} {\left(a^{4}\right)}^{\frac{1}{4}} a x + \sqrt{6} \sqrt{a^{4}}\right)}{48 \, a^{4}}"," ",0,"-1/48*(4*6^(1/4)*sqrt(3)*sqrt(2)*(a^4)^(1/4)*a^4*arctan(-1/6*(6^(3/4)*sqrt(3)*sqrt(2)*(a^4)^(3/4)*a^4*x - 6^(3/4)*sqrt(3)*sqrt(2)*sqrt(1/3)*(a^4)^(3/4)*a^4*sqrt((3*a^2*x^2 + 6^(1/4)*sqrt(3)*sqrt(2)*(a^4)^(1/4)*a*x + sqrt(6)*sqrt(a^4))/a^2) + 6*a^7)/a^7) + 4*6^(1/4)*sqrt(3)*sqrt(2)*(a^4)^(1/4)*a^4*arctan(-1/6*(6^(3/4)*sqrt(3)*sqrt(2)*(a^4)^(3/4)*a^4*x - 6^(3/4)*sqrt(3)*sqrt(2)*sqrt(1/3)*(a^4)^(3/4)*a^4*sqrt((3*a^2*x^2 - 6^(1/4)*sqrt(3)*sqrt(2)*(a^4)^(1/4)*a*x + sqrt(6)*sqrt(a^4))/a^2) - 6*a^7)/a^7) - (6^(1/4)*sqrt(3)*sqrt(2)*(a^4)^(1/4)*a^4 + 4*a^4*d)*log(3*a^2*x^2 + 6^(1/4)*sqrt(3)*sqrt(2)*(a^4)^(1/4)*a*x + sqrt(6)*sqrt(a^4)) + (6^(1/4)*sqrt(3)*sqrt(2)*(a^4)^(1/4)*a^4 - 4*a^4*d)*log(3*a^2*x^2 - 6^(1/4)*sqrt(3)*sqrt(2)*(a^4)^(1/4)*a*x + sqrt(6)*sqrt(a^4)))/a^4","B",0
161,1,27,0,0.386500," ","integrate((d*x^3+b*x)/(3*x^4+2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{6} b \arctan\left(\frac{1}{2} \, \sqrt{6} x^{2}\right) + \frac{1}{12} \, d \log\left(3 \, x^{4} + 2\right)"," ",0,"1/12*sqrt(6)*b*arctan(1/2*sqrt(6)*x^2) + 1/12*d*log(3*x^4 + 2)","A",0
162,-1,0,0,0.000000," ","integrate((d*x^3+b*x+a)/(3*x^4+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,1,272,0,0.446943," ","integrate((d*x^3+c*x^2)/(3*x^4+2),x, algorithm=""fricas"")","-\frac{4 \cdot 6^{\frac{1}{4}} {\left(c^{4}\right)}^{\frac{1}{4}} c^{4} \arctan\left(-\frac{c^{5} + 6^{\frac{1}{4}} {\left(c^{4}\right)}^{\frac{5}{4}} x - 6^{\frac{1}{4}} \sqrt{\frac{1}{3}} {\left(c^{4}\right)}^{\frac{5}{4}} \sqrt{\frac{3 \, c^{3} x^{2} + 6^{\frac{3}{4}} {\left(c^{4}\right)}^{\frac{3}{4}} x + \sqrt{6} \sqrt{c^{4}} c}{c^{3}}}}{c^{5}}\right) + 4 \cdot 6^{\frac{1}{4}} {\left(c^{4}\right)}^{\frac{1}{4}} c^{4} \arctan\left(\frac{c^{5} - 6^{\frac{1}{4}} {\left(c^{4}\right)}^{\frac{5}{4}} x + 6^{\frac{1}{4}} \sqrt{\frac{1}{3}} {\left(c^{4}\right)}^{\frac{5}{4}} \sqrt{\frac{3 \, c^{3} x^{2} - 6^{\frac{3}{4}} {\left(c^{4}\right)}^{\frac{3}{4}} x + \sqrt{6} \sqrt{c^{4}} c}{c^{3}}}}{c^{5}}\right) - {\left(2 \, c^{4} d - 6^{\frac{1}{4}} {\left(c^{4}\right)}^{\frac{1}{4}} c^{4}\right)} \log\left(3 \, c^{3} x^{2} + 6^{\frac{3}{4}} {\left(c^{4}\right)}^{\frac{3}{4}} x + \sqrt{6} \sqrt{c^{4}} c\right) - {\left(2 \, c^{4} d + 6^{\frac{1}{4}} {\left(c^{4}\right)}^{\frac{1}{4}} c^{4}\right)} \log\left(3 \, c^{3} x^{2} - 6^{\frac{3}{4}} {\left(c^{4}\right)}^{\frac{3}{4}} x + \sqrt{6} \sqrt{c^{4}} c\right)}{24 \, c^{4}}"," ",0,"-1/24*(4*6^(1/4)*(c^4)^(1/4)*c^4*arctan(-(c^5 + 6^(1/4)*(c^4)^(5/4)*x - 6^(1/4)*sqrt(1/3)*(c^4)^(5/4)*sqrt((3*c^3*x^2 + 6^(3/4)*(c^4)^(3/4)*x + sqrt(6)*sqrt(c^4)*c)/c^3))/c^5) + 4*6^(1/4)*(c^4)^(1/4)*c^4*arctan((c^5 - 6^(1/4)*(c^4)^(5/4)*x + 6^(1/4)*sqrt(1/3)*(c^4)^(5/4)*sqrt((3*c^3*x^2 - 6^(3/4)*(c^4)^(3/4)*x + sqrt(6)*sqrt(c^4)*c)/c^3))/c^5) - (2*c^4*d - 6^(1/4)*(c^4)^(1/4)*c^4)*log(3*c^3*x^2 + 6^(3/4)*(c^4)^(3/4)*x + sqrt(6)*sqrt(c^4)*c) - (2*c^4*d + 6^(1/4)*(c^4)^(1/4)*c^4)*log(3*c^3*x^2 - 6^(3/4)*(c^4)^(3/4)*x + sqrt(6)*sqrt(c^4)*c))/c^4","B",0
164,1,2326,0,0.489151," ","integrate((d*x^3+c*x^2+a)/(3*x^4+2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{6} \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} \arctan\left(-\frac{\sqrt{2} \sqrt{\frac{1}{3}} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} {\left(\sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} a - 2 \, \sqrt{6} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} {\left(3 \, a^{2} c + 2 \, c^{3}\right)}\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} \sqrt{\frac{3 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} x^{2} + \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(\sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} c x - 3 \, {\left(3 \, a^{3} + 2 \, a c^{2}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(3 \, a^{2} + 2 \, c^{2}\right)}}{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}}} - \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} {\left(\sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} a x - 2 \, \sqrt{6} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} {\left(3 \, a^{2} c + 2 \, c^{3}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + 2 \, \sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}}{12 \, {\left(81 \, a^{8} + 108 \, a^{6} c^{2} - 48 \, a^{2} c^{6} - 16 \, c^{8}\right)}}\right) + 2 \, \sqrt{6} \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} \arctan\left(-\frac{\sqrt{2} \sqrt{\frac{1}{3}} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} {\left(\sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} a - 2 \, \sqrt{6} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} {\left(3 \, a^{2} c + 2 \, c^{3}\right)}\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} \sqrt{\frac{3 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} x^{2} - \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(\sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} c x - 3 \, {\left(3 \, a^{3} + 2 \, a c^{2}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(3 \, a^{2} + 2 \, c^{2}\right)}}{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}}} - \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{3}{4}} {\left(\sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} a x - 2 \, \sqrt{6} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}} {\left(3 \, a^{2} c + 2 \, c^{3}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} - 2 \, \sqrt{6} \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} \sqrt{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}}{12 \, {\left(81 \, a^{8} + 108 \, a^{6} c^{2} - 48 \, a^{2} c^{6} - 16 \, c^{8}\right)}}\right) - 3 \, {\left(\sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} - 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} - 4 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} d\right)} \log\left(3 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} x^{2} + \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(\sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} c x - 3 \, {\left(3 \, a^{3} + 2 \, a c^{2}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(3 \, a^{2} + 2 \, c^{2}\right)}\right) + 3 \, {\left(\sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} - 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + 4 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} d\right)} \log\left(3 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)} x^{2} - \sqrt{2} {\left(54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}\right)}^{\frac{1}{4}} {\left(\sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} c x - 3 \, {\left(3 \, a^{3} + 2 \, a c^{2}\right)} x\right)} \sqrt{\frac{9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4} + 2 \, \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} a c}{9 \, a^{4} - 12 \, a^{2} c^{2} + 4 \, c^{4}}} + \sqrt{54 \, a^{4} + 72 \, a^{2} c^{2} + 24 \, c^{4}} {\left(3 \, a^{2} + 2 \, c^{2}\right)}\right)}{144 \, {\left(9 \, a^{4} + 12 \, a^{2} c^{2} + 4 \, c^{4}\right)}}"," ",0,"1/144*(2*sqrt(6)*sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4))*arctan(-1/12*(sqrt(2)*sqrt(1/3)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*(sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*a - 2*sqrt(6)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*(3*a^2*c + 2*c^3))*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4))*sqrt((3*(9*a^4 + 12*a^2*c^2 + 4*c^4)*x^2 + sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*c*x - 3*(3*a^3 + 2*a*c^2)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(3*a^2 + 2*c^2))/(9*a^4 + 12*a^2*c^2 + 4*c^4)) - sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*(sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*a*x - 2*sqrt(6)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*(3*a^2*c + 2*c^3)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + 2*sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(9*a^4 + 12*a^2*c^2 + 4*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4))/(81*a^8 + 108*a^6*c^2 - 48*a^2*c^6 - 16*c^8)) + 2*sqrt(6)*sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4))*arctan(-1/12*(sqrt(2)*sqrt(1/3)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*(sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*a - 2*sqrt(6)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*(3*a^2*c + 2*c^3))*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4))*sqrt((3*(9*a^4 + 12*a^2*c^2 + 4*c^4)*x^2 - sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*c*x - 3*(3*a^3 + 2*a*c^2)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(3*a^2 + 2*c^2))/(9*a^4 + 12*a^2*c^2 + 4*c^4)) - sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(3/4)*(sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*a*x - 2*sqrt(6)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4)*(3*a^2*c + 2*c^3)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) - 2*sqrt(6)*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(9*a^4 + 12*a^2*c^2 + 4*c^4)*sqrt(9*a^4 - 12*a^2*c^2 + 4*c^4))/(81*a^8 + 108*a^6*c^2 - 48*a^2*c^6 - 16*c^8)) - 3*(sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(9*a^4 + 12*a^2*c^2 + 4*c^4 - 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) - 4*(9*a^4 + 12*a^2*c^2 + 4*c^4)*d)*log(3*(9*a^4 + 12*a^2*c^2 + 4*c^4)*x^2 + sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*c*x - 3*(3*a^3 + 2*a*c^2)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(3*a^2 + 2*c^2)) + 3*(sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(9*a^4 + 12*a^2*c^2 + 4*c^4 - 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + 4*(9*a^4 + 12*a^2*c^2 + 4*c^4)*d)*log(3*(9*a^4 + 12*a^2*c^2 + 4*c^4)*x^2 - sqrt(2)*(54*a^4 + 72*a^2*c^2 + 24*c^4)^(1/4)*(sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*c*x - 3*(3*a^3 + 2*a*c^2)*x)*sqrt((9*a^4 + 12*a^2*c^2 + 4*c^4 + 2*sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*a*c)/(9*a^4 - 12*a^2*c^2 + 4*c^4)) + sqrt(54*a^4 + 72*a^2*c^2 + 24*c^4)*(3*a^2 + 2*c^2)))/(9*a^4 + 12*a^2*c^2 + 4*c^4)","B",0
165,-1,0,0,0.000000," ","integrate((d*x^3+c*x^2+b*x)/(3*x^4+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,-1,0,0,0.000000," ","integrate((d*x^3+c*x^2+b*x+a)/(3*x^4+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,1,6,0,0.401344," ","integrate((x^3+x^2+x+1)/(-x^4+1),x, algorithm=""fricas"")","-\log\left(x - 1\right)"," ",0,"-log(x - 1)","A",0
168,1,145,0,0.426174," ","integrate((x^3+x^2+x+1)/(x^4+1),x, algorithm=""fricas"")","-\sqrt{-2 \, \sqrt{2} + 3} \arctan\left(\sqrt{x^{2} + \sqrt{2} x + 1} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 3} - {\left(\sqrt{2} {\left(x + 1\right)} + 2 \, x + 1\right)} \sqrt{-2 \, \sqrt{2} + 3}\right) + \sqrt{2 \, \sqrt{2} + 3} \arctan\left(-{\left(\sqrt{2} {\left(x + 1\right)} - \sqrt{x^{2} - \sqrt{2} x + 1} {\left(\sqrt{2} - 2\right)} - 2 \, x - 1\right)} \sqrt{2 \, \sqrt{2} + 3}\right) + \frac{1}{4} \, \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{4} \, \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"-sqrt(-2*sqrt(2) + 3)*arctan(sqrt(x^2 + sqrt(2)*x + 1)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 3) - (sqrt(2)*(x + 1) + 2*x + 1)*sqrt(-2*sqrt(2) + 3)) + sqrt(2*sqrt(2) + 3)*arctan(-(sqrt(2)*(x + 1) - sqrt(x^2 - sqrt(2)*x + 1)*(sqrt(2) - 2) - 2*x - 1)*sqrt(2*sqrt(2) + 3)) + 1/4*log(x^2 + sqrt(2)*x + 1) + 1/4*log(x^2 - sqrt(2)*x + 1)","B",0
169,-1,0,0,0.000000," ","integrate((x^3+x^2+x+1)/(-b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate((x^3+x^2+x+1)/(b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,-1,0,0,0.000000," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,-1,0,0,0.000000," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,-1,0,0,0.000000," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-1,0,0,0.000000," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
175,-1,0,0,0.000000," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
176,-1,0,0,0.000000," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
177,-1,0,0,0.000000," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,-1,0,0,0.000000," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,1,15,0,0.396601," ","integrate((-x^4+1)^3/(x^3+x^2+x+1)^3,x, algorithm=""fricas"")","-\frac{1}{4} \, x^{4} + x^{3} - \frac{3}{2} \, x^{2} + x"," ",0,"-1/4*x^4 + x^3 - 3/2*x^2 + x","B",0
180,1,12,0,0.399650," ","integrate((-x^4+1)^2/(x^3+x^2+x+1)^2,x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} - x^{2} + x"," ",0,"1/3*x^3 - x^2 + x","A",0
181,1,7,0,0.408779," ","integrate((-x^4+1)/(x^3+x^2+x+1),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + x"," ",0,"-1/2*x^2 + x","A",0
182,1,6,0,0.404205," ","integrate((x^3+x^2+x+1)/(-x^4+1),x, algorithm=""fricas"")","-\log\left(x - 1\right)"," ",0,"-log(x - 1)","A",0
183,1,7,0,0.396583," ","integrate((x^3+x^2+x+1)^2/(-x^4+1)^2,x, algorithm=""fricas"")","-\frac{1}{x - 1}"," ",0,"-1/(x - 1)","A",0
184,1,12,0,0.396432," ","integrate((x^3+x^2+x+1)^3/(-x^4+1)^3,x, algorithm=""fricas"")","\frac{1}{2 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"1/2/(x^2 - 2*x + 1)","A",0
185,1,17,0,0.392603," ","integrate((x^3+x^2+x+1)^4/(-x^4+1)^4,x, algorithm=""fricas"")","-\frac{1}{3 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}"," ",0,"-1/3/(x^3 - 3*x^2 + 3*x - 1)","B",0
186,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
187,-1,0,0,0.000000," ","integrate((i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
188,-1,0,0,0.000000," ","integrate((j*x^7+i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
189,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
190,-1,0,0,0.000000," ","integrate((i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
191,-1,0,0,0.000000," ","integrate((j*x^7+i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
192,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
193,-1,0,0,0.000000," ","integrate((i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
194,-1,0,0,0.000000," ","integrate((j*x^7+i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
195,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
196,-1,0,0,0.000000," ","integrate((i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,-1,0,0,0.000000," ","integrate((j*x^7+i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
198,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
199,-1,0,0,0.000000," ","integrate((i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
200,-1,0,0,0.000000," ","integrate((j*x^7+i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
201,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
202,-1,0,0,0.000000," ","integrate((i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
203,-1,0,0,0.000000," ","integrate((j*x^7+i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
204,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
205,-1,0,0,0.000000," ","integrate((i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
206,-1,0,0,0.000000," ","integrate((j*x^7+i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
207,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
208,-1,0,0,0.000000," ","integrate((i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
209,-1,0,0,0.000000," ","integrate((j*x^7+i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,0,0,0,0.490369," ","integrate((d*x+c)/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x + c}{\sqrt{b x^{4} + a}}, x\right)"," ",0,"integral((d*x + c)/sqrt(b*x^4 + a), x)","F",0
211,0,0,0,0.490410," ","integrate((d*x+c)/(-b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-b x^{4} + a} {\left(d x + c\right)}}{b x^{4} - a}, x\right)"," ",0,"integral(-sqrt(-b*x^4 + a)*(d*x + c)/(b*x^4 - a), x)","F",0
212,0,0,0,0.492278," ","integrate((d*x+c)/(b*x^4-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x + c}{\sqrt{b x^{4} - a}}, x\right)"," ",0,"integral((d*x + c)/sqrt(b*x^4 - a), x)","F",0
213,0,0,0,0.479889," ","integrate((d*x+c)/(-b*x^4-a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-b x^{4} - a} {\left(d x + c\right)}}{b x^{4} + a}, x\right)"," ",0,"integral(-sqrt(-b*x^4 - a)*(d*x + c)/(b*x^4 + a), x)","F",0
214,0,0,0,0.482596," ","integrate((e*x^2+d*x+c)/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x^{2} + d x + c}{\sqrt{b x^{4} + a}}, x\right)"," ",0,"integral((e*x^2 + d*x + c)/sqrt(b*x^4 + a), x)","F",0
215,1,12,0,0.414016," ","integrate((-b*g*x^4+a*g)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","\frac{g x}{\sqrt{b x^{4} + a}}"," ",0,"g*x/sqrt(b*x^4 + a)","A",0
216,1,34,0,0.416648," ","integrate((-b*g*x^4+a*g+e*x)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{4} + a} {\left(2 \, a g x + e x^{2}\right)}}{2 \, {\left(a b x^{4} + a^{2}\right)}}"," ",0,"1/2*sqrt(b*x^4 + a)*(2*a*g*x + e*x^2)/(a*b*x^4 + a^2)","A",0
217,1,33,0,0.420318," ","integrate((-b*g*x^4+f*x^3+a*g)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{4} + a} {\left(2 \, b g x - f\right)}}{2 \, {\left(b^{2} x^{4} + a b\right)}}"," ",0,"1/2*sqrt(b*x^4 + a)*(2*b*g*x - f)/(b^2*x^4 + a*b)","A",0
218,1,44,0,0.412865," ","integrate((-b*g*x^4+f*x^3+a*g+e*x)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{4} + a} {\left(2 \, a b g x + b e x^{2} - a f\right)}}{2 \, {\left(a b^{2} x^{4} + a^{2} b\right)}}"," ",0,"1/2*sqrt(b*x^4 + a)*(2*a*b*g*x + b*e*x^2 - a*f)/(a*b^2*x^4 + a^2*b)","A",0
219,1,10,0,0.406663," ","integrate((x^4-1)/(x^4+1)^(3/2),x, algorithm=""fricas"")","-\frac{x}{\sqrt{x^{4} + 1}}"," ",0,"-x/sqrt(x^4 + 1)","A",0
220,0,0,0,0.536793," ","integrate((i*x^6+h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{i x^{6} + h x^{5} + g x^{4} + f x^{3} + e x^{2} + d x + c}{\sqrt{b x^{4} + a}}, x\right)"," ",0,"integral((i*x^6 + h*x^5 + g*x^4 + f*x^3 + e*x^2 + d*x + c)/sqrt(b*x^4 + a), x)","F",0
221,1,835,0,1.281618," ","integrate((1+x)/(x^5+1),x, algorithm=""fricas"")","-\frac{1}{10} \, {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} \log\left(\frac{3}{8} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{3} + \frac{1}{8} \, {\left(3 \, \sqrt{5} + 15 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}} + 8\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} + \frac{3}{8} \, {\left({\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - 12\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} + 11 \, x + 1\right) - \frac{1}{10} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} \log\left(-\frac{3}{8} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{3} + {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} + 11 \, x - \frac{9}{2} \, \sqrt{5} - \frac{45}{2} \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}} - 14\right) + \frac{1}{10} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{3}{100} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - \frac{1}{50} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} - \frac{3}{100} \, {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2}}\right)} \log\left(-\frac{1}{8} \, {\left(3 \, \sqrt{5} + 15 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}} + 8\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - \frac{3}{8} \, {\left({\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - 12\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} + \frac{5}{4} \, \sqrt{-\frac{3}{100} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - \frac{1}{50} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} - \frac{3}{100} \, {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2}} {\left({\left(3 \, \sqrt{5} + 15 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}} + 8\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} + 8 \, \sqrt{5} + 40 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}} + 36\right)} + 22 \, x + \frac{9}{2} \, \sqrt{5} + \frac{45}{2} \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}} + 2\right) + \frac{1}{10} \, {\left(\sqrt{5} - 5 \, \sqrt{-\frac{3}{100} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - \frac{1}{50} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} - \frac{3}{100} \, {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2}}\right)} \log\left(-\frac{1}{8} \, {\left(3 \, \sqrt{5} + 15 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}} + 8\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - \frac{3}{8} \, {\left({\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - 12\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} - \frac{5}{4} \, \sqrt{-\frac{3}{100} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2} - \frac{1}{50} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} - \frac{3}{100} \, {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)}^{2}} {\left({\left(3 \, \sqrt{5} + 15 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}} + 8\right)} {\left(\sqrt{5} - 5 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}}\right)} + 8 \, \sqrt{5} + 40 \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}} + 36\right)} + 22 \, x + \frac{9}{2} \, \sqrt{5} + \frac{45}{2} \, \sqrt{-\frac{2}{25} \, \sqrt{5} - \frac{1}{5}} + 2\right)"," ",0,"-1/10*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5))*log(3/8*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^3 + 1/8*(3*sqrt(5) + 15*sqrt(-2/25*sqrt(5) - 1/5) + 8)*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5))^2 + 3/8*((sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - 12)*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5)) + 11*x + 1) - 1/10*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))*log(-3/8*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^3 + (sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^2 + 11*x - 9/2*sqrt(5) - 45/2*sqrt(-2/25*sqrt(5) - 1/5) - 14) + 1/10*(sqrt(5) + 5*sqrt(-3/100*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - 1/50*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5)) - 3/100*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5))^2))*log(-1/8*(3*sqrt(5) + 15*sqrt(-2/25*sqrt(5) - 1/5) + 8)*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - (sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - 3/8*((sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - 12)*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5)) + 5/4*sqrt(-3/100*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - 1/50*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5)) - 3/100*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5))^2)*((3*sqrt(5) + 15*sqrt(-2/25*sqrt(5) - 1/5) + 8)*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5)) + 8*sqrt(5) + 40*sqrt(-2/25*sqrt(5) - 1/5) + 36) + 22*x + 9/2*sqrt(5) + 45/2*sqrt(-2/25*sqrt(5) - 1/5) + 2) + 1/10*(sqrt(5) - 5*sqrt(-3/100*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - 1/50*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5)) - 3/100*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5))^2))*log(-1/8*(3*sqrt(5) + 15*sqrt(-2/25*sqrt(5) - 1/5) + 8)*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - (sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - 3/8*((sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - 12)*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5)) - 5/4*sqrt(-3/100*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))^2 - 1/50*(sqrt(5) + 5*sqrt(-2/25*sqrt(5) - 1/5))*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5)) - 3/100*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5))^2)*((3*sqrt(5) + 15*sqrt(-2/25*sqrt(5) - 1/5) + 8)*(sqrt(5) - 5*sqrt(-2/25*sqrt(5) - 1/5)) + 8*sqrt(5) + 40*sqrt(-2/25*sqrt(5) - 1/5) + 36) + 22*x + 9/2*sqrt(5) + 45/2*sqrt(-2/25*sqrt(5) - 1/5) + 2)","B",0
222,1,799,0,1.268275," ","integrate((1-x)/(-x^5+1),x, algorithm=""fricas"")","-\frac{1}{10} \, {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)} \log\left(\frac{3}{8} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{3} + \frac{1}{8} \, {\left(3 \, \sqrt{5} + 3 \, \sqrt{2 \, \sqrt{5} - 5} - 8\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} + \frac{3}{8} \, {\left({\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} - 12\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)} + 11 \, x - 1\right) - \frac{1}{10} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)} \log\left(-\frac{3}{8} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{3} - {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} + 11 \, x - \frac{9}{2} \, \sqrt{5} - \frac{9}{2} \, \sqrt{2 \, \sqrt{5} - 5} + 14\right) + \frac{1}{10} \, {\left(\sqrt{5} + 5 \, \sqrt{-\frac{3}{100} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} - \frac{1}{50} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)} - \frac{3}{100} \, {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)}^{2}}\right)} \log\left(-\frac{1}{8} \, {\left(3 \, \sqrt{5} + 3 \, \sqrt{2 \, \sqrt{5} - 5} - 8\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} + {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} - \frac{3}{8} \, {\left({\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} - 12\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)} + \frac{5}{4} \, \sqrt{-\frac{3}{100} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} - \frac{1}{50} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)} - \frac{3}{100} \, {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)}^{2}} {\left({\left(3 \, \sqrt{5} + 3 \, \sqrt{2 \, \sqrt{5} - 5} - 8\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)} - 8 \, \sqrt{5} - 8 \, \sqrt{2 \, \sqrt{5} - 5} + 36\right)} + 22 \, x + \frac{9}{2} \, \sqrt{5} + \frac{9}{2} \, \sqrt{2 \, \sqrt{5} - 5} - 2\right) + \frac{1}{10} \, {\left(\sqrt{5} - 5 \, \sqrt{-\frac{3}{100} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} - \frac{1}{50} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)} - \frac{3}{100} \, {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)}^{2}}\right)} \log\left(-\frac{1}{8} \, {\left(3 \, \sqrt{5} + 3 \, \sqrt{2 \, \sqrt{5} - 5} - 8\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} + {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} - \frac{3}{8} \, {\left({\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} - 12\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)} - \frac{5}{4} \, \sqrt{-\frac{3}{100} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)}^{2} - \frac{1}{50} \, {\left(\sqrt{5} + \sqrt{2 \, \sqrt{5} - 5}\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)} - \frac{3}{100} \, {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)}^{2}} {\left({\left(3 \, \sqrt{5} + 3 \, \sqrt{2 \, \sqrt{5} - 5} - 8\right)} {\left(\sqrt{5} - \sqrt{2 \, \sqrt{5} - 5}\right)} - 8 \, \sqrt{5} - 8 \, \sqrt{2 \, \sqrt{5} - 5} + 36\right)} + 22 \, x + \frac{9}{2} \, \sqrt{5} + \frac{9}{2} \, \sqrt{2 \, \sqrt{5} - 5} - 2\right)"," ",0,"-1/10*(sqrt(5) - sqrt(2*sqrt(5) - 5))*log(3/8*(sqrt(5) + sqrt(2*sqrt(5) - 5))^3 + 1/8*(3*sqrt(5) + 3*sqrt(2*sqrt(5) - 5) - 8)*(sqrt(5) - sqrt(2*sqrt(5) - 5))^2 + 3/8*((sqrt(5) + sqrt(2*sqrt(5) - 5))^2 - 12)*(sqrt(5) - sqrt(2*sqrt(5) - 5)) + 11*x - 1) - 1/10*(sqrt(5) + sqrt(2*sqrt(5) - 5))*log(-3/8*(sqrt(5) + sqrt(2*sqrt(5) - 5))^3 - (sqrt(5) + sqrt(2*sqrt(5) - 5))^2 + 11*x - 9/2*sqrt(5) - 9/2*sqrt(2*sqrt(5) - 5) + 14) + 1/10*(sqrt(5) + 5*sqrt(-3/100*(sqrt(5) + sqrt(2*sqrt(5) - 5))^2 - 1/50*(sqrt(5) + sqrt(2*sqrt(5) - 5))*(sqrt(5) - sqrt(2*sqrt(5) - 5)) - 3/100*(sqrt(5) - sqrt(2*sqrt(5) - 5))^2))*log(-1/8*(3*sqrt(5) + 3*sqrt(2*sqrt(5) - 5) - 8)*(sqrt(5) - sqrt(2*sqrt(5) - 5))^2 + (sqrt(5) + sqrt(2*sqrt(5) - 5))^2 - 3/8*((sqrt(5) + sqrt(2*sqrt(5) - 5))^2 - 12)*(sqrt(5) - sqrt(2*sqrt(5) - 5)) + 5/4*sqrt(-3/100*(sqrt(5) + sqrt(2*sqrt(5) - 5))^2 - 1/50*(sqrt(5) + sqrt(2*sqrt(5) - 5))*(sqrt(5) - sqrt(2*sqrt(5) - 5)) - 3/100*(sqrt(5) - sqrt(2*sqrt(5) - 5))^2)*((3*sqrt(5) + 3*sqrt(2*sqrt(5) - 5) - 8)*(sqrt(5) - sqrt(2*sqrt(5) - 5)) - 8*sqrt(5) - 8*sqrt(2*sqrt(5) - 5) + 36) + 22*x + 9/2*sqrt(5) + 9/2*sqrt(2*sqrt(5) - 5) - 2) + 1/10*(sqrt(5) - 5*sqrt(-3/100*(sqrt(5) + sqrt(2*sqrt(5) - 5))^2 - 1/50*(sqrt(5) + sqrt(2*sqrt(5) - 5))*(sqrt(5) - sqrt(2*sqrt(5) - 5)) - 3/100*(sqrt(5) - sqrt(2*sqrt(5) - 5))^2))*log(-1/8*(3*sqrt(5) + 3*sqrt(2*sqrt(5) - 5) - 8)*(sqrt(5) - sqrt(2*sqrt(5) - 5))^2 + (sqrt(5) + sqrt(2*sqrt(5) - 5))^2 - 3/8*((sqrt(5) + sqrt(2*sqrt(5) - 5))^2 - 12)*(sqrt(5) - sqrt(2*sqrt(5) - 5)) - 5/4*sqrt(-3/100*(sqrt(5) + sqrt(2*sqrt(5) - 5))^2 - 1/50*(sqrt(5) + sqrt(2*sqrt(5) - 5))*(sqrt(5) - sqrt(2*sqrt(5) - 5)) - 3/100*(sqrt(5) - sqrt(2*sqrt(5) - 5))^2)*((3*sqrt(5) + 3*sqrt(2*sqrt(5) - 5) - 8)*(sqrt(5) - sqrt(2*sqrt(5) - 5)) - 8*sqrt(5) - 8*sqrt(2*sqrt(5) - 5) + 36) + 22*x + 9/2*sqrt(5) + 9/2*sqrt(2*sqrt(5) - 5) - 2)","B",0
223,1,210,0,0.407672," ","integrate(x^11*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{10 \, b^{6} f x^{18} + 12 \, {\left(b^{6} e - a b^{5} f\right)} x^{15} + 15 \, {\left(b^{6} d - a b^{5} e + a^{2} b^{4} f\right)} x^{12} + 20 \, {\left(b^{6} c - a b^{5} d + a^{2} b^{4} e - a^{3} b^{3} f\right)} x^{9} - 30 \, {\left(a b^{5} c - a^{2} b^{4} d + a^{3} b^{3} e - a^{4} b^{2} f\right)} x^{6} + 60 \, {\left(a^{2} b^{4} c - a^{3} b^{3} d + a^{4} b^{2} e - a^{5} b f\right)} x^{3} - 60 \, {\left(a^{3} b^{3} c - a^{4} b^{2} d + a^{5} b e - a^{6} f\right)} \log\left(b x^{3} + a\right)}{180 \, b^{7}}"," ",0,"1/180*(10*b^6*f*x^18 + 12*(b^6*e - a*b^5*f)*x^15 + 15*(b^6*d - a*b^5*e + a^2*b^4*f)*x^12 + 20*(b^6*c - a*b^5*d + a^2*b^4*e - a^3*b^3*f)*x^9 - 30*(a*b^5*c - a^2*b^4*d + a^3*b^3*e - a^4*b^2*f)*x^6 + 60*(a^2*b^4*c - a^3*b^3*d + a^4*b^2*e - a^5*b*f)*x^3 - 60*(a^3*b^3*c - a^4*b^2*d + a^5*b*e - a^6*f)*log(b*x^3 + a))/b^7","A",0
224,1,170,0,0.412060," ","integrate(x^8*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{12 \, b^{5} f x^{15} + 15 \, {\left(b^{5} e - a b^{4} f\right)} x^{12} + 20 \, {\left(b^{5} d - a b^{4} e + a^{2} b^{3} f\right)} x^{9} + 30 \, {\left(b^{5} c - a b^{4} d + a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{6} - 60 \, {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{3} + 60 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d + a^{4} b e - a^{5} f\right)} \log\left(b x^{3} + a\right)}{180 \, b^{6}}"," ",0,"1/180*(12*b^5*f*x^15 + 15*(b^5*e - a*b^4*f)*x^12 + 20*(b^5*d - a*b^4*e + a^2*b^3*f)*x^9 + 30*(b^5*c - a*b^4*d + a^2*b^3*e - a^3*b^2*f)*x^6 - 60*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^3 + 60*(a^2*b^3*c - a^3*b^2*d + a^4*b*e - a^5*f)*log(b*x^3 + a))/b^6","A",0
225,1,130,0,0.410458," ","integrate(x^5*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{3 \, b^{4} f x^{12} + 4 \, {\left(b^{4} e - a b^{3} f\right)} x^{9} + 6 \, {\left(b^{4} d - a b^{3} e + a^{2} b^{2} f\right)} x^{6} + 12 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{3} - 12 \, {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} \log\left(b x^{3} + a\right)}{36 \, b^{5}}"," ",0,"1/36*(3*b^4*f*x^12 + 4*(b^4*e - a*b^3*f)*x^9 + 6*(b^4*d - a*b^3*e + a^2*b^2*f)*x^6 + 12*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^3 - 12*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*log(b*x^3 + a))/b^5","A",0
226,1,92,0,0.412050," ","integrate(x^2*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{2 \, b^{3} f x^{9} + 3 \, {\left(b^{3} e - a b^{2} f\right)} x^{6} + 6 \, {\left(b^{3} d - a b^{2} e + a^{2} b f\right)} x^{3} + 6 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \log\left(b x^{3} + a\right)}{18 \, b^{4}}"," ",0,"1/18*(2*b^3*f*x^9 + 3*(b^3*e - a*b^2*f)*x^6 + 6*(b^3*d - a*b^2*e + a^2*b*f)*x^3 + 6*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*log(b*x^3 + a))/b^4","A",0
227,1,80,0,0.462915," ","integrate((f*x^9+e*x^6+d*x^3+c)/x/(b*x^3+a),x, algorithm=""fricas"")","\frac{a b^{2} f x^{6} + 6 \, b^{3} c \log\left(x\right) + 2 \, {\left(a b^{2} e - a^{2} b f\right)} x^{3} - 2 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \log\left(b x^{3} + a\right)}{6 \, a b^{3}}"," ",0,"1/6*(a*b^2*f*x^6 + 6*b^3*c*log(x) + 2*(a*b^2*e - a^2*b*f)*x^3 - 2*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*log(b*x^3 + a))/(a*b^3)","A",0
228,1,85,0,0.477103," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^4/(b*x^3+a),x, algorithm=""fricas"")","\frac{a^{2} b f x^{6} + {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{3} \log\left(b x^{3} + a\right) - 3 \, {\left(b^{3} c - a b^{2} d\right)} x^{3} \log\left(x\right) - a b^{2} c}{3 \, a^{2} b^{2} x^{3}}"," ",0,"1/3*(a^2*b*f*x^6 + (b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^3*log(b*x^3 + a) - 3*(b^3*c - a*b^2*d)*x^3*log(x) - a*b^2*c)/(a^2*b^2*x^3)","A",0
229,1,101,0,0.457679," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^7/(b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{6} \log\left(b x^{3} + a\right) - 6 \, {\left(b^{3} c - a b^{2} d + a^{2} b e\right)} x^{6} \log\left(x\right) + a^{2} b c - 2 \, {\left(a b^{2} c - a^{2} b d\right)} x^{3}}{6 \, a^{3} b x^{6}}"," ",0,"-1/6*(2*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^6*log(b*x^3 + a) - 6*(b^3*c - a*b^2*d + a^2*b*e)*x^6*log(x) + a^2*b*c - 2*(a*b^2*c - a^2*b*d)*x^3)/(a^3*b*x^6)","A",0
230,1,127,0,0.445073," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^10/(b*x^3+a),x, algorithm=""fricas"")","\frac{6 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{9} \log\left(b x^{3} + a\right) - 18 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{9} \log\left(x\right) - 6 \, {\left(a b^{2} c - a^{2} b d + a^{3} e\right)} x^{6} - 2 \, a^{3} c + 3 \, {\left(a^{2} b c - a^{3} d\right)} x^{3}}{18 \, a^{4} x^{9}}"," ",0,"1/18*(6*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^9*log(b*x^3 + a) - 18*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^9*log(x) - 6*(a*b^2*c - a^2*b*d + a^3*e)*x^6 - 2*a^3*c + 3*(a^2*b*c - a^3*d)*x^3)/(a^4*x^9)","A",0
231,1,168,0,0.491673," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^13/(b*x^3+a),x, algorithm=""fricas"")","-\frac{12 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{12} \log\left(b x^{3} + a\right) - 36 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{12} \log\left(x\right) - 12 \, {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} x^{9} + 6 \, {\left(a^{2} b^{2} c - a^{3} b d + a^{4} e\right)} x^{6} + 3 \, a^{4} c - 4 \, {\left(a^{3} b c - a^{4} d\right)} x^{3}}{36 \, a^{5} x^{12}}"," ",0,"-1/36*(12*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^12*log(b*x^3 + a) - 36*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^12*log(x) - 12*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*x^9 + 6*(a^2*b^2*c - a^3*b*d + a^4*e)*x^6 + 3*a^4*c - 4*(a^3*b*c - a^4*d)*x^3)/(a^5*x^12)","A",0
232,1,210,0,0.515556," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^16/(b*x^3+a),x, algorithm=""fricas"")","\frac{60 \, {\left(b^{5} c - a b^{4} d + a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{15} \log\left(b x^{3} + a\right) - 180 \, {\left(b^{5} c - a b^{4} d + a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{15} \log\left(x\right) - 60 \, {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{12} + 30 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d + a^{4} b e - a^{5} f\right)} x^{9} - 20 \, {\left(a^{3} b^{2} c - a^{4} b d + a^{5} e\right)} x^{6} - 12 \, a^{5} c + 15 \, {\left(a^{4} b c - a^{5} d\right)} x^{3}}{180 \, a^{6} x^{15}}"," ",0,"1/180*(60*(b^5*c - a*b^4*d + a^2*b^3*e - a^3*b^2*f)*x^15*log(b*x^3 + a) - 180*(b^5*c - a*b^4*d + a^2*b^3*e - a^3*b^2*f)*x^15*log(x) - 60*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^12 + 30*(a^2*b^3*c - a^3*b^2*d + a^4*b*e - a^5*f)*x^9 - 20*(a^3*b^2*c - a^4*b*d + a^5*e)*x^6 - 12*a^5*c + 15*(a^4*b*c - a^5*d)*x^3)/(a^6*x^15)","A",0
233,1,342,0,0.434709," ","integrate(x^9*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{1365 \, b^{5} f x^{16} + 1680 \, {\left(b^{5} e - a b^{4} f\right)} x^{13} + 2184 \, {\left(b^{5} d - a b^{4} e + a^{2} b^{3} f\right)} x^{10} + 3120 \, {\left(b^{5} c - a b^{4} d + a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{7} - 5460 \, {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{4} - 7280 \, \sqrt{3} {\left(a^{2} b^{3} c - a^{3} b^{2} d + a^{4} b e - a^{5} f\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) + 3640 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d + a^{4} b e - a^{5} f\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right) - 7280 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d + a^{4} b e - a^{5} f\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right) + 21840 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d + a^{4} b e - a^{5} f\right)} x}{21840 \, b^{6}}"," ",0,"1/21840*(1365*b^5*f*x^16 + 1680*(b^5*e - a*b^4*f)*x^13 + 2184*(b^5*d - a*b^4*e + a^2*b^3*f)*x^10 + 3120*(b^5*c - a*b^4*d + a^2*b^3*e - a^3*b^2*f)*x^7 - 5460*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^4 - 7280*sqrt(3)*(a^2*b^3*c - a^3*b^2*d + a^4*b*e - a^5*f)*(a/b)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(a/b)^(2/3) - sqrt(3)*a)/a) + 3640*(a^2*b^3*c - a^3*b^2*d + a^4*b*e - a^5*f)*(a/b)^(1/3)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3)) - 7280*(a^2*b^3*c - a^3*b^2*d + a^4*b*e - a^5*f)*(a/b)^(1/3)*log(x + (a/b)^(1/3)) + 21840*(a^2*b^3*c - a^3*b^2*d + a^4*b*e - a^5*f)*x)/b^6","A",0
234,1,321,0,0.424664," ","integrate(x^7*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{660 \, b^{4} f x^{14} + 840 \, {\left(b^{4} e - a b^{3} f\right)} x^{11} + 1155 \, {\left(b^{4} d - a b^{3} e + a^{2} b^{2} f\right)} x^{8} + 1848 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{5} - 4620 \, {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} x^{2} + 3080 \, \sqrt{3} {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} - \sqrt{3} a}{3 \, a}\right) + 1540 \, {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(a x^{2} - b x \left(\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}} + a \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}}\right) - 3080 \, {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(a x + b \left(\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}}\right)}{9240 \, b^{5}}"," ",0,"1/9240*(660*b^4*f*x^14 + 840*(b^4*e - a*b^3*f)*x^11 + 1155*(b^4*d - a*b^3*e + a^2*b^2*f)*x^8 + 1848*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^5 - 4620*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*x^2 + 3080*sqrt(3)*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*(a^2/b^2)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(a^2/b^2)^(1/3) - sqrt(3)*a)/a) + 1540*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*(a^2/b^2)^(1/3)*log(a*x^2 - b*x*(a^2/b^2)^(2/3) + a*(a^2/b^2)^(1/3)) - 3080*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*(a^2/b^2)^(1/3)*log(a*x + b*(a^2/b^2)^(2/3)))/b^5","A",0
235,1,304,0,0.423657," ","integrate(x^6*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{420 \, b^{4} f x^{13} + 546 \, {\left(b^{4} e - a b^{3} f\right)} x^{10} + 780 \, {\left(b^{4} d - a b^{3} e + a^{2} b^{2} f\right)} x^{7} + 1365 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{4} - 1820 \, \sqrt{3} {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) + 910 \, {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right) - 1820 \, {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x - \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right) - 5460 \, {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} x}{5460 \, b^{5}}"," ",0,"1/5460*(420*b^4*f*x^13 + 546*(b^4*e - a*b^3*f)*x^10 + 780*(b^4*d - a*b^3*e + a^2*b^2*f)*x^7 + 1365*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^4 - 1820*sqrt(3)*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*(-a/b)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-a/b)^(2/3) - sqrt(3)*a)/a) + 910*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*(-a/b)^(1/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3)) - 1820*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*(-a/b)^(1/3)*log(x - (-a/b)^(1/3)) - 5460*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*x)/b^5","A",0
236,1,281,0,0.424101," ","integrate(x^4*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{120 \, b^{3} f x^{11} + 165 \, {\left(b^{3} e - a b^{2} f\right)} x^{8} + 264 \, {\left(b^{3} d - a b^{2} e + a^{2} b f\right)} x^{5} + 660 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{2} - 440 \, \sqrt{3} {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} + \sqrt{3} a}{3 \, a}\right) + 220 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(a x^{2} - b x \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}} - a \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}}\right) - 440 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(a x + b \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}}\right)}{1320 \, b^{4}}"," ",0,"1/1320*(120*b^3*f*x^11 + 165*(b^3*e - a*b^2*f)*x^8 + 264*(b^3*d - a*b^2*e + a^2*b*f)*x^5 + 660*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^2 - 440*sqrt(3)*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2/b^2)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-a^2/b^2)^(1/3) + sqrt(3)*a)/a) + 220*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2/b^2)^(1/3)*log(a*x^2 - b*x*(-a^2/b^2)^(2/3) - a*(-a^2/b^2)^(1/3)) - 440*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2/b^2)^(1/3)*log(a*x + b*(-a^2/b^2)^(2/3)))/b^4","A",0
237,1,249,0,0.435610," ","integrate(x^3*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{42 \, b^{3} f x^{10} + 60 \, {\left(b^{3} e - a b^{2} f\right)} x^{7} + 105 \, {\left(b^{3} d - a b^{2} e + a^{2} b f\right)} x^{4} - 140 \, \sqrt{3} {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) + 70 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right) - 140 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right) + 420 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x}{420 \, b^{4}}"," ",0,"1/420*(42*b^3*f*x^10 + 60*(b^3*e - a*b^2*f)*x^7 + 105*(b^3*d - a*b^2*e + a^2*b*f)*x^4 - 140*sqrt(3)*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a/b)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(a/b)^(2/3) - sqrt(3)*a)/a) + 70*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a/b)^(1/3)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3)) - 140*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a/b)^(1/3)*log(x + (a/b)^(1/3)) + 420*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x)/b^4","A",0
238,1,568,0,0.447448," ","integrate(x*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{15 \, a b^{4} f x^{8} + 24 \, {\left(a b^{4} e - a^{2} b^{3} f\right)} x^{5} + 60 \, {\left(a b^{4} d - a^{2} b^{3} e + a^{3} b^{2} f\right)} x^{2} - 60 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b - 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(a b^{2}\right)^{\frac{2}{3}} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + 20 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) - 40 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right)}{120 \, a b^{5}}, \frac{15 \, a b^{4} f x^{8} + 24 \, {\left(a b^{4} e - a^{2} b^{3} f\right)} x^{5} + 60 \, {\left(a b^{4} d - a^{2} b^{3} e + a^{3} b^{2} f\right)} x^{2} - 120 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x - \left(a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 20 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) - 40 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right)}{120 \, a b^{5}}\right]"," ",0,"[1/120*(15*a*b^4*f*x^8 + 24*(a*b^4*e - a^2*b^3*f)*x^5 + 60*(a*b^4*d - a^2*b^3*e + a^3*b^2*f)*x^2 - 60*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*sqrt(-(a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b - 3*sqrt(1/3)*(a*b*x + 2*(a*b^2)^(2/3)*x^2 - (a*b^2)^(1/3)*a)*sqrt(-(a*b^2)^(1/3)/a) - 3*(a*b^2)^(2/3)*x)/(b*x^3 + a)) + 20*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a*b^2)^(2/3)*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) - 40*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a*b^2)^(2/3)*log(b*x + (a*b^2)^(1/3)))/(a*b^5), 1/120*(15*a*b^4*f*x^8 + 24*(a*b^4*e - a^2*b^3*f)*x^5 + 60*(a*b^4*d - a^2*b^3*e + a^3*b^2*f)*x^2 - 120*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*sqrt((a*b^2)^(1/3)/a)*arctan(-sqrt(1/3)*(2*b*x - (a*b^2)^(1/3))*sqrt((a*b^2)^(1/3)/a)/b) + 20*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a*b^2)^(2/3)*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) - 40*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a*b^2)^(2/3)*log(b*x + (a*b^2)^(1/3)))/(a*b^5)]","A",0
239,1,600,0,0.447345," ","integrate((f*x^9+e*x^6+d*x^3+c)/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{12 \, a^{2} b^{3} f x^{7} + 21 \, {\left(a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{4} - 42 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} + 3 \, \left(-a^{2} b\right)^{\frac{1}{3}} a x - a^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - 14 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) + 28 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right) + 84 \, {\left(a^{2} b^{3} d - a^{3} b^{2} e + a^{4} b f\right)} x}{84 \, a^{2} b^{4}}, \frac{12 \, a^{2} b^{3} f x^{7} + 21 \, {\left(a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{4} + 84 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 14 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) + 28 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right) + 84 \, {\left(a^{2} b^{3} d - a^{3} b^{2} e + a^{4} b f\right)} x}{84 \, a^{2} b^{4}}\right]"," ",0,"[1/84*(12*a^2*b^3*f*x^7 + 21*(a^2*b^3*e - a^3*b^2*f)*x^4 - 42*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*sqrt((-a^2*b)^(1/3)/b)*log((2*a*b*x^3 + 3*(-a^2*b)^(1/3)*a*x - a^2 - 3*sqrt(1/3)*(2*a*b*x^2 + (-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt((-a^2*b)^(1/3)/b))/(b*x^3 + a)) - 14*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2*b)^(2/3)*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) + 28*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2*b)^(2/3)*log(a*b*x + (-a^2*b)^(2/3)) + 84*(a^2*b^3*d - a^3*b^2*e + a^4*b*f)*x)/(a^2*b^4), 1/84*(12*a^2*b^3*f*x^7 + 21*(a^2*b^3*e - a^3*b^2*f)*x^4 + 84*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*sqrt(-(-a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt(-(-a^2*b)^(1/3)/b)/a^2) - 14*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2*b)^(2/3)*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) + 28*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2*b)^(2/3)*log(a*b*x + (-a^2*b)^(2/3)) + 84*(a^2*b^3*d - a^3*b^2*e + a^4*b*f)*x)/(a^2*b^4)]","A",0
240,1,560,0,0.469239," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^2/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{6 \, a^{2} b^{3} f x^{6} - 30 \, a b^{4} c + 15 \, {\left(a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{3} - 15 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) - 5 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a b^{2}\right)^{\frac{2}{3}} x \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) + 10 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a b^{2}\right)^{\frac{2}{3}} x \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{30 \, a^{2} b^{4} x}, \frac{6 \, a^{2} b^{3} f x^{6} - 30 \, a b^{4} c + 15 \, {\left(a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{3} - 30 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) - 5 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a b^{2}\right)^{\frac{2}{3}} x \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) + 10 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a b^{2}\right)^{\frac{2}{3}} x \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{30 \, a^{2} b^{4} x}\right]"," ",0,"[1/30*(6*a^2*b^3*f*x^6 - 30*a*b^4*c + 15*(a^2*b^3*e - a^3*b^2*f)*x^3 - 15*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b + 3*sqrt(1/3)*(a*b*x + 2*(-a*b^2)^(2/3)*x^2 + (-a*b^2)^(1/3)*a)*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x)/(b*x^3 + a)) - 5*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a*b^2)^(2/3)*x*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) + 10*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a*b^2)^(2/3)*x*log(b*x - (-a*b^2)^(1/3)))/(a^2*b^4*x), 1/30*(6*a^2*b^3*f*x^6 - 30*a*b^4*c + 15*(a^2*b^3*e - a^3*b^2*f)*x^3 - 30*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) - 5*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a*b^2)^(2/3)*x*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) + 10*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a*b^2)^(2/3)*x*log(b*x - (-a*b^2)^(1/3)))/(a^2*b^4*x)]","A",0
241,1,565,0,0.451851," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^3/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{3 \, a^{3} b^{2} f x^{6} - 6 \, a^{2} b^{3} c - 6 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{2} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) + 2 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a^{2} b\right)^{\frac{2}{3}} x^{2} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) - 4 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a^{2} b\right)^{\frac{2}{3}} x^{2} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right) + 12 \, {\left(a^{3} b^{2} e - a^{4} b f\right)} x^{3}}{12 \, a^{3} b^{3} x^{2}}, \frac{3 \, a^{3} b^{2} f x^{6} - 6 \, a^{2} b^{3} c - 12 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{2} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) + 2 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a^{2} b\right)^{\frac{2}{3}} x^{2} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) - 4 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a^{2} b\right)^{\frac{2}{3}} x^{2} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right) + 12 \, {\left(a^{3} b^{2} e - a^{4} b f\right)} x^{3}}{12 \, a^{3} b^{3} x^{2}}\right]"," ",0,"[1/12*(3*a^3*b^2*f*x^6 - 6*a^2*b^3*c - 6*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^2*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x^3 - 3*(a^2*b)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^2 + (a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b))/(b*x^3 + a)) + 2*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a^2*b)^(2/3)*x^2*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) - 4*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a^2*b)^(2/3)*x^2*log(a*b*x + (a^2*b)^(2/3)) + 12*(a^3*b^2*e - a^4*b*f)*x^3)/(a^3*b^3*x^2), 1/12*(3*a^3*b^2*f*x^6 - 6*a^2*b^3*c - 12*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^2*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) + 2*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a^2*b)^(2/3)*x^2*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) - 4*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a^2*b)^(2/3)*x^2*log(a*b*x + (a^2*b)^(2/3)) + 12*(a^3*b^2*e - a^4*b*f)*x^3)/(a^3*b^3*x^2)]","A",0
242,1,556,0,0.461079," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^5/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{6 \, a^{3} b^{2} f x^{6} - 6 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{4} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b - 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(a b^{2}\right)^{\frac{2}{3}} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + 2 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a b^{2}\right)^{\frac{2}{3}} x^{4} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) - 4 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a b^{2}\right)^{\frac{2}{3}} x^{4} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right) - 3 \, a^{2} b^{3} c + 12 \, {\left(a b^{4} c - a^{2} b^{3} d\right)} x^{3}}{12 \, a^{3} b^{3} x^{4}}, \frac{6 \, a^{3} b^{2} f x^{6} - 12 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{4} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x - \left(a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 2 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a b^{2}\right)^{\frac{2}{3}} x^{4} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) - 4 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a b^{2}\right)^{\frac{2}{3}} x^{4} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right) - 3 \, a^{2} b^{3} c + 12 \, {\left(a b^{4} c - a^{2} b^{3} d\right)} x^{3}}{12 \, a^{3} b^{3} x^{4}}\right]"," ",0,"[1/12*(6*a^3*b^2*f*x^6 - 6*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^4*sqrt(-(a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b - 3*sqrt(1/3)*(a*b*x + 2*(a*b^2)^(2/3)*x^2 - (a*b^2)^(1/3)*a)*sqrt(-(a*b^2)^(1/3)/a) - 3*(a*b^2)^(2/3)*x)/(b*x^3 + a)) + 2*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a*b^2)^(2/3)*x^4*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) - 4*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a*b^2)^(2/3)*x^4*log(b*x + (a*b^2)^(1/3)) - 3*a^2*b^3*c + 12*(a*b^4*c - a^2*b^3*d)*x^3)/(a^3*b^3*x^4), 1/12*(6*a^3*b^2*f*x^6 - 12*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^4*sqrt((a*b^2)^(1/3)/a)*arctan(-sqrt(1/3)*(2*b*x - (a*b^2)^(1/3))*sqrt((a*b^2)^(1/3)/a)/b) + 2*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a*b^2)^(2/3)*x^4*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) - 4*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a*b^2)^(2/3)*x^4*log(b*x + (a*b^2)^(1/3)) - 3*a^2*b^3*c + 12*(a*b^4*c - a^2*b^3*d)*x^3)/(a^3*b^3*x^4)]","A",0
243,1,584,0,0.441673," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^6/(b*x^3+a),x, algorithm=""fricas"")","\left[\frac{30 \, a^{4} b f x^{6} - 15 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{5} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} + 3 \, \left(-a^{2} b\right)^{\frac{1}{3}} a x - a^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - 5 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a^{2} b\right)^{\frac{2}{3}} x^{5} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) + 10 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a^{2} b\right)^{\frac{2}{3}} x^{5} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right) - 6 \, a^{3} b^{2} c + 15 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d\right)} x^{3}}{30 \, a^{4} b^{2} x^{5}}, \frac{30 \, a^{4} b f x^{6} + 30 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{5} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 5 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a^{2} b\right)^{\frac{2}{3}} x^{5} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) + 10 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a^{2} b\right)^{\frac{2}{3}} x^{5} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right) - 6 \, a^{3} b^{2} c + 15 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d\right)} x^{3}}{30 \, a^{4} b^{2} x^{5}}\right]"," ",0,"[1/30*(30*a^4*b*f*x^6 - 15*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^5*sqrt((-a^2*b)^(1/3)/b)*log((2*a*b*x^3 + 3*(-a^2*b)^(1/3)*a*x - a^2 - 3*sqrt(1/3)*(2*a*b*x^2 + (-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt((-a^2*b)^(1/3)/b))/(b*x^3 + a)) - 5*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2*b)^(2/3)*x^5*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) + 10*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2*b)^(2/3)*x^5*log(a*b*x + (-a^2*b)^(2/3)) - 6*a^3*b^2*c + 15*(a^2*b^3*c - a^3*b^2*d)*x^3)/(a^4*b^2*x^5), 1/30*(30*a^4*b*f*x^6 + 30*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^5*sqrt(-(-a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt(-(-a^2*b)^(1/3)/b)/a^2) - 5*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2*b)^(2/3)*x^5*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) + 10*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a^2*b)^(2/3)*x^5*log(a*b*x + (-a^2*b)^(2/3)) - 6*a^3*b^2*c + 15*(a^2*b^3*c - a^3*b^2*d)*x^3)/(a^4*b^2*x^5)]","A",0
244,1,610,0,0.447664," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^8/(b*x^3+a),x, algorithm=""fricas"")","\left[-\frac{42 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{7} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + 14 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a b^{2}\right)^{\frac{2}{3}} x^{7} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 28 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a b^{2}\right)^{\frac{2}{3}} x^{7} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right) + 84 \, {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e\right)} x^{6} + 12 \, a^{3} b^{2} c - 21 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d\right)} x^{3}}{84 \, a^{4} b^{2} x^{7}}, -\frac{84 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{7} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 14 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a b^{2}\right)^{\frac{2}{3}} x^{7} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 28 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(-a b^{2}\right)^{\frac{2}{3}} x^{7} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right) + 84 \, {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e\right)} x^{6} + 12 \, a^{3} b^{2} c - 21 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d\right)} x^{3}}{84 \, a^{4} b^{2} x^{7}}\right]"," ",0,"[-1/84*(42*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^7*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b + 3*sqrt(1/3)*(a*b*x + 2*(-a*b^2)^(2/3)*x^2 + (-a*b^2)^(1/3)*a)*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x)/(b*x^3 + a)) + 14*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a*b^2)^(2/3)*x^7*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 28*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a*b^2)^(2/3)*x^7*log(b*x - (-a*b^2)^(1/3)) + 84*(a*b^4*c - a^2*b^3*d + a^3*b^2*e)*x^6 + 12*a^3*b^2*c - 21*(a^2*b^3*c - a^3*b^2*d)*x^3)/(a^4*b^2*x^7), -1/84*(84*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^7*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + 14*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a*b^2)^(2/3)*x^7*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 28*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(-a*b^2)^(2/3)*x^7*log(b*x - (-a*b^2)^(1/3)) + 84*(a*b^4*c - a^2*b^3*d + a^3*b^2*e)*x^6 + 12*a^3*b^2*c - 21*(a^2*b^3*c - a^3*b^2*d)*x^3)/(a^4*b^2*x^7)]","A",0
245,1,595,0,0.449238," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^9/(b*x^3+a),x, algorithm=""fricas"")","\left[-\frac{60 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{8} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - 20 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a^{2} b\right)^{\frac{2}{3}} x^{8} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 40 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a^{2} b\right)^{\frac{2}{3}} x^{8} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right) + 60 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d + a^{4} b e\right)} x^{6} + 15 \, a^{4} b c - 24 \, {\left(a^{3} b^{2} c - a^{4} b d\right)} x^{3}}{120 \, a^{5} b x^{8}}, -\frac{120 \, \sqrt{\frac{1}{3}} {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{8} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 20 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a^{2} b\right)^{\frac{2}{3}} x^{8} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 40 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} \left(a^{2} b\right)^{\frac{2}{3}} x^{8} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right) + 60 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d + a^{4} b e\right)} x^{6} + 15 \, a^{4} b c - 24 \, {\left(a^{3} b^{2} c - a^{4} b d\right)} x^{3}}{120 \, a^{5} b x^{8}}\right]"," ",0,"[-1/120*(60*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^8*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x^3 - 3*(a^2*b)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^2 + (a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b))/(b*x^3 + a)) - 20*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a^2*b)^(2/3)*x^8*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 40*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a^2*b)^(2/3)*x^8*log(a*b*x + (a^2*b)^(2/3)) + 60*(a^2*b^3*c - a^3*b^2*d + a^4*b*e)*x^6 + 15*a^4*b*c - 24*(a^3*b^2*c - a^4*b*d)*x^3)/(a^5*b*x^8), -1/120*(120*sqrt(1/3)*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^8*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) - 20*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a^2*b)^(2/3)*x^8*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 40*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*(a^2*b)^(2/3)*x^8*log(a*b*x + (a^2*b)^(2/3)) + 60*(a^2*b^3*c - a^3*b^2*d + a^4*b*e)*x^6 + 15*a^4*b*c - 24*(a^3*b^2*c - a^4*b*d)*x^3)/(a^5*b*x^8)]","A",0
246,1,262,0,0.430699," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^11/(b*x^3+a),x, algorithm=""fricas"")","\frac{140 \, \sqrt{3} {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{10} \left(\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + 70 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{10} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x^{2} - a x \left(\frac{b}{a}\right)^{\frac{2}{3}} + a \left(\frac{b}{a}\right)^{\frac{1}{3}}\right) - 140 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{10} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x + a \left(\frac{b}{a}\right)^{\frac{2}{3}}\right) + 420 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{9} - 105 \, {\left(a b^{2} c - a^{2} b d + a^{3} e\right)} x^{6} - 42 \, a^{3} c + 60 \, {\left(a^{2} b c - a^{3} d\right)} x^{3}}{420 \, a^{4} x^{10}}"," ",0,"1/420*(140*sqrt(3)*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^10*(b/a)^(1/3)*arctan(2/3*sqrt(3)*x*(b/a)^(1/3) - 1/3*sqrt(3)) + 70*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^10*(b/a)^(1/3)*log(b*x^2 - a*x*(b/a)^(2/3) + a*(b/a)^(1/3)) - 140*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^10*(b/a)^(1/3)*log(b*x + a*(b/a)^(2/3)) + 420*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^9 - 105*(a*b^2*c - a^2*b*d + a^3*e)*x^6 - 42*a^3*c + 60*(a^2*b*c - a^3*d)*x^3)/(a^4*x^10)","A",0
247,1,295,0,0.432892," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^12/(b*x^3+a),x, algorithm=""fricas"")","-\frac{440 \, \sqrt{3} {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{11} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} a x \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}} - \sqrt{3} b}{3 \, b}\right) - 220 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{11} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b^{2} x^{2} + a b x \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} + a^{2} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}}\right) + 440 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{11} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b x - a \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}}\right) - 660 \, {\left(b^{3} c - a b^{2} d + a^{2} b e - a^{3} f\right)} x^{9} + 264 \, {\left(a b^{2} c - a^{2} b d + a^{3} e\right)} x^{6} + 120 \, a^{3} c - 165 \, {\left(a^{2} b c - a^{3} d\right)} x^{3}}{1320 \, a^{4} x^{11}}"," ",0,"-1/1320*(440*sqrt(3)*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^11*(-b^2/a^2)^(1/3)*arctan(1/3*(2*sqrt(3)*a*x*(-b^2/a^2)^(2/3) - sqrt(3)*b)/b) - 220*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^11*(-b^2/a^2)^(1/3)*log(b^2*x^2 + a*b*x*(-b^2/a^2)^(1/3) + a^2*(-b^2/a^2)^(2/3)) + 440*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^11*(-b^2/a^2)^(1/3)*log(b*x - a*(-b^2/a^2)^(1/3)) - 660*(b^3*c - a*b^2*d + a^2*b*e - a^3*f)*x^9 + 264*(a*b^2*c - a^2*b*d + a^3*e)*x^6 + 120*a^3*c - 165*(a^2*b*c - a^3*d)*x^3)/(a^4*x^11)","A",0
248,1,317,0,0.432733," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^14/(b*x^3+a),x, algorithm=""fricas"")","-\frac{1820 \, \sqrt{3} {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{13} \left(-\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} x \left(-\frac{b}{a}\right)^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - 910 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{13} \left(-\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x^{2} - a x \left(-\frac{b}{a}\right)^{\frac{2}{3}} - a \left(-\frac{b}{a}\right)^{\frac{1}{3}}\right) + 1820 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{13} \left(-\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x + a \left(-\frac{b}{a}\right)^{\frac{2}{3}}\right) + 5460 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{12} - 1365 \, {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} x^{9} + 780 \, {\left(a^{2} b^{2} c - a^{3} b d + a^{4} e\right)} x^{6} + 420 \, a^{4} c - 546 \, {\left(a^{3} b c - a^{4} d\right)} x^{3}}{5460 \, a^{5} x^{13}}"," ",0,"-1/5460*(1820*sqrt(3)*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^13*(-b/a)^(1/3)*arctan(2/3*sqrt(3)*x*(-b/a)^(1/3) + 1/3*sqrt(3)) - 910*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^13*(-b/a)^(1/3)*log(b*x^2 - a*x*(-b/a)^(2/3) - a*(-b/a)^(1/3)) + 1820*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^13*(-b/a)^(1/3)*log(b*x + a*(-b/a)^(2/3)) + 5460*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^12 - 1365*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*x^9 + 780*(a^2*b^2*c - a^3*b*d + a^4*e)*x^6 + 420*a^4*c - 546*(a^3*b*c - a^4*d)*x^3)/(a^5*x^13)","A",0
249,1,335,0,0.428225," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^15/(b*x^3+a),x, algorithm=""fricas"")","-\frac{3080 \, \sqrt{3} {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{14} \left(\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} a x \left(\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}} - \sqrt{3} b}{3 \, b}\right) - 1540 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{14} \left(\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b^{2} x^{2} - a b x \left(\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} + a^{2} \left(\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}}\right) + 3080 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{14} \left(\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b x + a \left(\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}}\right) + 4620 \, {\left(b^{4} c - a b^{3} d + a^{2} b^{2} e - a^{3} b f\right)} x^{12} - 1848 \, {\left(a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} x^{9} + 1155 \, {\left(a^{2} b^{2} c - a^{3} b d + a^{4} e\right)} x^{6} + 660 \, a^{4} c - 840 \, {\left(a^{3} b c - a^{4} d\right)} x^{3}}{9240 \, a^{5} x^{14}}"," ",0,"-1/9240*(3080*sqrt(3)*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^14*(b^2/a^2)^(1/3)*arctan(1/3*(2*sqrt(3)*a*x*(b^2/a^2)^(2/3) - sqrt(3)*b)/b) - 1540*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^14*(b^2/a^2)^(1/3)*log(b^2*x^2 - a*b*x*(b^2/a^2)^(1/3) + a^2*(b^2/a^2)^(2/3)) + 3080*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^14*(b^2/a^2)^(1/3)*log(b*x + a*(b^2/a^2)^(1/3)) + 4620*(b^4*c - a*b^3*d + a^2*b^2*e - a^3*b*f)*x^12 - 1848*(a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*x^9 + 1155*(a^2*b^2*c - a^3*b*d + a^4*e)*x^6 + 660*a^4*c - 840*(a^3*b*c - a^4*d)*x^3)/(a^5*x^14)","A",0
250,1,355,0,0.432506," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^17/(b*x^3+a),x, algorithm=""fricas"")","\frac{7280 \, \sqrt{3} {\left(b^{5} c - a b^{4} d + a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{16} \left(\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + 3640 \, {\left(b^{5} c - a b^{4} d + a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{16} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x^{2} - a x \left(\frac{b}{a}\right)^{\frac{2}{3}} + a \left(\frac{b}{a}\right)^{\frac{1}{3}}\right) - 7280 \, {\left(b^{5} c - a b^{4} d + a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{16} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x + a \left(\frac{b}{a}\right)^{\frac{2}{3}}\right) + 21840 \, {\left(b^{5} c - a b^{4} d + a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{15} - 5460 \, {\left(a b^{4} c - a^{2} b^{3} d + a^{3} b^{2} e - a^{4} b f\right)} x^{12} + 3120 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d + a^{4} b e - a^{5} f\right)} x^{9} - 2184 \, {\left(a^{3} b^{2} c - a^{4} b d + a^{5} e\right)} x^{6} - 1365 \, a^{5} c + 1680 \, {\left(a^{4} b c - a^{5} d\right)} x^{3}}{21840 \, a^{6} x^{16}}"," ",0,"1/21840*(7280*sqrt(3)*(b^5*c - a*b^4*d + a^2*b^3*e - a^3*b^2*f)*x^16*(b/a)^(1/3)*arctan(2/3*sqrt(3)*x*(b/a)^(1/3) - 1/3*sqrt(3)) + 3640*(b^5*c - a*b^4*d + a^2*b^3*e - a^3*b^2*f)*x^16*(b/a)^(1/3)*log(b*x^2 - a*x*(b/a)^(2/3) + a*(b/a)^(1/3)) - 7280*(b^5*c - a*b^4*d + a^2*b^3*e - a^3*b^2*f)*x^16*(b/a)^(1/3)*log(b*x + a*(b/a)^(2/3)) + 21840*(b^5*c - a*b^4*d + a^2*b^3*e - a^3*b^2*f)*x^15 - 5460*(a*b^4*c - a^2*b^3*d + a^3*b^2*e - a^4*b*f)*x^12 + 3120*(a^2*b^3*c - a^3*b^2*d + a^4*b*e - a^5*f)*x^9 - 2184*(a^3*b^2*c - a^4*b*d + a^5*e)*x^6 - 1365*a^5*c + 1680*(a^4*b*c - a^5*d)*x^3)/(a^6*x^16)","A",0
251,1,303,0,0.411910," ","integrate(x^11*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{12 \, b^{6} f x^{18} + 3 \, {\left(5 \, b^{6} e - 6 \, a b^{5} f\right)} x^{15} + 5 \, {\left(4 \, b^{6} d - 5 \, a b^{5} e + 6 \, a^{2} b^{4} f\right)} x^{12} + 10 \, {\left(3 \, b^{6} c - 4 \, a b^{5} d + 5 \, a^{2} b^{4} e - 6 \, a^{3} b^{3} f\right)} x^{9} + 60 \, a^{3} b^{3} c - 60 \, a^{4} b^{2} d + 60 \, a^{5} b e - 60 \, a^{6} f - 30 \, {\left(3 \, a b^{5} c - 4 \, a^{2} b^{4} d + 5 \, a^{3} b^{3} e - 6 \, a^{4} b^{2} f\right)} x^{6} - 60 \, {\left(2 \, a^{2} b^{4} c - 3 \, a^{3} b^{3} d + 4 \, a^{4} b^{2} e - 5 \, a^{5} b f\right)} x^{3} + 60 \, {\left(3 \, a^{3} b^{3} c - 4 \, a^{4} b^{2} d + 5 \, a^{5} b e - 6 \, a^{6} f + {\left(3 \, a^{2} b^{4} c - 4 \, a^{3} b^{3} d + 5 \, a^{4} b^{2} e - 6 \, a^{5} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right)}{180 \, {\left(b^{8} x^{3} + a b^{7}\right)}}"," ",0,"1/180*(12*b^6*f*x^18 + 3*(5*b^6*e - 6*a*b^5*f)*x^15 + 5*(4*b^6*d - 5*a*b^5*e + 6*a^2*b^4*f)*x^12 + 10*(3*b^6*c - 4*a*b^5*d + 5*a^2*b^4*e - 6*a^3*b^3*f)*x^9 + 60*a^3*b^3*c - 60*a^4*b^2*d + 60*a^5*b*e - 60*a^6*f - 30*(3*a*b^5*c - 4*a^2*b^4*d + 5*a^3*b^3*e - 6*a^4*b^2*f)*x^6 - 60*(2*a^2*b^4*c - 3*a^3*b^3*d + 4*a^4*b^2*e - 5*a^5*b*f)*x^3 + 60*(3*a^3*b^3*c - 4*a^4*b^2*d + 5*a^5*b*e - 6*a^6*f + (3*a^2*b^4*c - 4*a^3*b^3*d + 5*a^4*b^2*e - 6*a^5*b*f)*x^3)*log(b*x^3 + a))/(b^8*x^3 + a*b^7)","A",0
252,1,257,0,0.400475," ","integrate(x^8*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{3 \, b^{5} f x^{15} + {\left(4 \, b^{5} e - 5 \, a b^{4} f\right)} x^{12} + 2 \, {\left(3 \, b^{5} d - 4 \, a b^{4} e + 5 \, a^{2} b^{3} f\right)} x^{9} + 6 \, {\left(2 \, b^{5} c - 3 \, a b^{4} d + 4 \, a^{2} b^{3} e - 5 \, a^{3} b^{2} f\right)} x^{6} - 12 \, a^{2} b^{3} c + 12 \, a^{3} b^{2} d - 12 \, a^{4} b e + 12 \, a^{5} f + 12 \, {\left(a b^{4} c - 2 \, a^{2} b^{3} d + 3 \, a^{3} b^{2} e - 4 \, a^{4} b f\right)} x^{3} - 12 \, {\left(2 \, a^{2} b^{3} c - 3 \, a^{3} b^{2} d + 4 \, a^{4} b e - 5 \, a^{5} f + {\left(2 \, a b^{4} c - 3 \, a^{2} b^{3} d + 4 \, a^{3} b^{2} e - 5 \, a^{4} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right)}{36 \, {\left(b^{7} x^{3} + a b^{6}\right)}}"," ",0,"1/36*(3*b^5*f*x^15 + (4*b^5*e - 5*a*b^4*f)*x^12 + 2*(3*b^5*d - 4*a*b^4*e + 5*a^2*b^3*f)*x^9 + 6*(2*b^5*c - 3*a*b^4*d + 4*a^2*b^3*e - 5*a^3*b^2*f)*x^6 - 12*a^2*b^3*c + 12*a^3*b^2*d - 12*a^4*b*e + 12*a^5*f + 12*(a*b^4*c - 2*a^2*b^3*d + 3*a^3*b^2*e - 4*a^4*b*f)*x^3 - 12*(2*a^2*b^3*c - 3*a^3*b^2*d + 4*a^4*b*e - 5*a^5*f + (2*a*b^4*c - 3*a^2*b^3*d + 4*a^3*b^2*e - 5*a^4*b*f)*x^3)*log(b*x^3 + a))/(b^7*x^3 + a*b^6)","A",0
253,1,202,0,0.397715," ","integrate(x^5*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{2 \, b^{4} f x^{12} + {\left(3 \, b^{4} e - 4 \, a b^{3} f\right)} x^{9} + 3 \, {\left(2 \, b^{4} d - 3 \, a b^{3} e + 4 \, a^{2} b^{2} f\right)} x^{6} + 6 \, a b^{3} c - 6 \, a^{2} b^{2} d + 6 \, a^{3} b e - 6 \, a^{4} f + 6 \, {\left(a b^{3} d - 2 \, a^{2} b^{2} e + 3 \, a^{3} b f\right)} x^{3} + 6 \, {\left(a b^{3} c - 2 \, a^{2} b^{2} d + 3 \, a^{3} b e - 4 \, a^{4} f + {\left(b^{4} c - 2 \, a b^{3} d + 3 \, a^{2} b^{2} e - 4 \, a^{3} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right)}{18 \, {\left(b^{6} x^{3} + a b^{5}\right)}}"," ",0,"1/18*(2*b^4*f*x^12 + (3*b^4*e - 4*a*b^3*f)*x^9 + 3*(2*b^4*d - 3*a*b^3*e + 4*a^2*b^2*f)*x^6 + 6*a*b^3*c - 6*a^2*b^2*d + 6*a^3*b*e - 6*a^4*f + 6*(a*b^3*d - 2*a^2*b^2*e + 3*a^3*b*f)*x^3 + 6*(a*b^3*c - 2*a^2*b^2*d + 3*a^3*b*e - 4*a^4*f + (b^4*c - 2*a*b^3*d + 3*a^2*b^2*e - 4*a^3*b*f)*x^3)*log(b*x^3 + a))/(b^6*x^3 + a*b^5)","A",0
254,1,143,0,0.391092," ","integrate(x^2*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{b^{3} f x^{9} + {\left(2 \, b^{3} e - 3 \, a b^{2} f\right)} x^{6} - 2 \, b^{3} c + 2 \, a b^{2} d - 2 \, a^{2} b e + 2 \, a^{3} f + 2 \, {\left(a b^{2} e - 2 \, a^{2} b f\right)} x^{3} + 2 \, {\left(a b^{2} d - 2 \, a^{2} b e + 3 \, a^{3} f + {\left(b^{3} d - 2 \, a b^{2} e + 3 \, a^{2} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right)}{6 \, {\left(b^{5} x^{3} + a b^{4}\right)}}"," ",0,"1/6*(b^3*f*x^9 + (2*b^3*e - 3*a*b^2*f)*x^6 - 2*b^3*c + 2*a*b^2*d - 2*a^2*b*e + 2*a^3*f + 2*(a*b^2*e - 2*a^2*b*f)*x^3 + 2*(a*b^2*d - 2*a^2*b*e + 3*a^3*f + (b^3*d - 2*a*b^2*e + 3*a^2*b*f)*x^3)*log(b*x^3 + a))/(b^5*x^3 + a*b^4)","A",0
255,1,145,0,0.439418," ","integrate((f*x^9+e*x^6+d*x^3+c)/x/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{a^{2} b^{2} f x^{6} + a^{3} b f x^{3} + a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f - {\left(a b^{3} c - a^{3} b e + 2 \, a^{4} f + {\left(b^{4} c - a^{2} b^{2} e + 2 \, a^{3} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right) + 3 \, {\left(b^{4} c x^{3} + a b^{3} c\right)} \log\left(x\right)}{3 \, {\left(a^{2} b^{4} x^{3} + a^{3} b^{3}\right)}}"," ",0,"1/3*(a^2*b^2*f*x^6 + a^3*b*f*x^3 + a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f - (a*b^3*c - a^3*b*e + 2*a^4*f + (b^4*c - a^2*b^2*e + 2*a^3*b*f)*x^3)*log(b*x^3 + a) + 3*(b^4*c*x^3 + a*b^3*c)*log(x))/(a^2*b^4*x^3 + a^3*b^3)","A",0
256,1,172,0,0.436319," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^4/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{a^{2} b^{2} c + {\left(2 \, a b^{3} c - a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} x^{3} - {\left({\left(2 \, b^{4} c - a b^{3} d + a^{3} b f\right)} x^{6} + {\left(2 \, a b^{3} c - a^{2} b^{2} d + a^{4} f\right)} x^{3}\right)} \log\left(b x^{3} + a\right) + 3 \, {\left({\left(2 \, b^{4} c - a b^{3} d\right)} x^{6} + {\left(2 \, a b^{3} c - a^{2} b^{2} d\right)} x^{3}\right)} \log\left(x\right)}{3 \, {\left(a^{3} b^{3} x^{6} + a^{4} b^{2} x^{3}\right)}}"," ",0,"-1/3*(a^2*b^2*c + (2*a*b^3*c - a^2*b^2*d + a^3*b*e - a^4*f)*x^3 - ((2*b^4*c - a*b^3*d + a^3*b*f)*x^6 + (2*a*b^3*c - a^2*b^2*d + a^4*f)*x^3)*log(b*x^3 + a) + 3*((2*b^4*c - a*b^3*d)*x^6 + (2*a*b^3*c - a^2*b^2*d)*x^3)*log(x))/(a^3*b^3*x^6 + a^4*b^2*x^3)","A",0
257,1,208,0,0.433476," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^7/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a b^{3} c - 2 \, a^{2} b^{2} d + a^{3} b e - a^{4} f\right)} x^{6} - a^{3} b c + {\left(3 \, a^{2} b^{2} c - 2 \, a^{3} b d\right)} x^{3} - 2 \, {\left({\left(3 \, b^{4} c - 2 \, a b^{3} d + a^{2} b^{2} e\right)} x^{9} + {\left(3 \, a b^{3} c - 2 \, a^{2} b^{2} d + a^{3} b e\right)} x^{6}\right)} \log\left(b x^{3} + a\right) + 6 \, {\left({\left(3 \, b^{4} c - 2 \, a b^{3} d + a^{2} b^{2} e\right)} x^{9} + {\left(3 \, a b^{3} c - 2 \, a^{2} b^{2} d + a^{3} b e\right)} x^{6}\right)} \log\left(x\right)}{6 \, {\left(a^{4} b^{2} x^{9} + a^{5} b x^{6}\right)}}"," ",0,"1/6*(2*(3*a*b^3*c - 2*a^2*b^2*d + a^3*b*e - a^4*f)*x^6 - a^3*b*c + (3*a^2*b^2*c - 2*a^3*b*d)*x^3 - 2*((3*b^4*c - 2*a*b^3*d + a^2*b^2*e)*x^9 + (3*a*b^3*c - 2*a^2*b^2*d + a^3*b*e)*x^6)*log(b*x^3 + a) + 6*((3*b^4*c - 2*a*b^3*d + a^2*b^2*e)*x^9 + (3*a*b^3*c - 2*a^2*b^2*d + a^3*b*e)*x^6)*log(x))/(a^4*b^2*x^9 + a^5*b*x^6)","A",0
258,1,261,0,0.468964," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^10/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{6 \, {\left(4 \, a b^{3} c - 3 \, a^{2} b^{2} d + 2 \, a^{3} b e - a^{4} f\right)} x^{9} + 3 \, {\left(4 \, a^{2} b^{2} c - 3 \, a^{3} b d + 2 \, a^{4} e\right)} x^{6} + 2 \, a^{4} c - {\left(4 \, a^{3} b c - 3 \, a^{4} d\right)} x^{3} - 6 \, {\left({\left(4 \, b^{4} c - 3 \, a b^{3} d + 2 \, a^{2} b^{2} e - a^{3} b f\right)} x^{12} + {\left(4 \, a b^{3} c - 3 \, a^{2} b^{2} d + 2 \, a^{3} b e - a^{4} f\right)} x^{9}\right)} \log\left(b x^{3} + a\right) + 18 \, {\left({\left(4 \, b^{4} c - 3 \, a b^{3} d + 2 \, a^{2} b^{2} e - a^{3} b f\right)} x^{12} + {\left(4 \, a b^{3} c - 3 \, a^{2} b^{2} d + 2 \, a^{3} b e - a^{4} f\right)} x^{9}\right)} \log\left(x\right)}{18 \, {\left(a^{5} b x^{12} + a^{6} x^{9}\right)}}"," ",0,"-1/18*(6*(4*a*b^3*c - 3*a^2*b^2*d + 2*a^3*b*e - a^4*f)*x^9 + 3*(4*a^2*b^2*c - 3*a^3*b*d + 2*a^4*e)*x^6 + 2*a^4*c - (4*a^3*b*c - 3*a^4*d)*x^3 - 6*((4*b^4*c - 3*a*b^3*d + 2*a^2*b^2*e - a^3*b*f)*x^12 + (4*a*b^3*c - 3*a^2*b^2*d + 2*a^3*b*e - a^4*f)*x^9)*log(b*x^3 + a) + 18*((4*b^4*c - 3*a*b^3*d + 2*a^2*b^2*e - a^3*b*f)*x^12 + (4*a*b^3*c - 3*a^2*b^2*d + 2*a^3*b*e - a^4*f)*x^9)*log(x))/(a^5*b*x^12 + a^6*x^9)","A",0
259,1,310,0,0.483865," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^13/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{12 \, {\left(5 \, a b^{4} c - 4 \, a^{2} b^{3} d + 3 \, a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{12} + 6 \, {\left(5 \, a^{2} b^{3} c - 4 \, a^{3} b^{2} d + 3 \, a^{4} b e - 2 \, a^{5} f\right)} x^{9} - 2 \, {\left(5 \, a^{3} b^{2} c - 4 \, a^{4} b d + 3 \, a^{5} e\right)} x^{6} - 3 \, a^{5} c + {\left(5 \, a^{4} b c - 4 \, a^{5} d\right)} x^{3} - 12 \, {\left({\left(5 \, b^{5} c - 4 \, a b^{4} d + 3 \, a^{2} b^{3} e - 2 \, a^{3} b^{2} f\right)} x^{15} + {\left(5 \, a b^{4} c - 4 \, a^{2} b^{3} d + 3 \, a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{12}\right)} \log\left(b x^{3} + a\right) + 36 \, {\left({\left(5 \, b^{5} c - 4 \, a b^{4} d + 3 \, a^{2} b^{3} e - 2 \, a^{3} b^{2} f\right)} x^{15} + {\left(5 \, a b^{4} c - 4 \, a^{2} b^{3} d + 3 \, a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{12}\right)} \log\left(x\right)}{36 \, {\left(a^{6} b x^{15} + a^{7} x^{12}\right)}}"," ",0,"1/36*(12*(5*a*b^4*c - 4*a^2*b^3*d + 3*a^3*b^2*e - 2*a^4*b*f)*x^12 + 6*(5*a^2*b^3*c - 4*a^3*b^2*d + 3*a^4*b*e - 2*a^5*f)*x^9 - 2*(5*a^3*b^2*c - 4*a^4*b*d + 3*a^5*e)*x^6 - 3*a^5*c + (5*a^4*b*c - 4*a^5*d)*x^3 - 12*((5*b^5*c - 4*a*b^4*d + 3*a^2*b^3*e - 2*a^3*b^2*f)*x^15 + (5*a*b^4*c - 4*a^2*b^3*d + 3*a^3*b^2*e - 2*a^4*b*f)*x^12)*log(b*x^3 + a) + 36*((5*b^5*c - 4*a*b^4*d + 3*a^2*b^3*e - 2*a^3*b^2*f)*x^15 + (5*a*b^4*c - 4*a^2*b^3*d + 3*a^3*b^2*e - 2*a^4*b*f)*x^12)*log(x))/(a^6*b*x^15 + a^7*x^12)","A",0
260,1,488,0,0.426980," ","integrate(x^9*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{1260 \, b^{5} f x^{16} + 126 \, {\left(13 \, b^{5} e - 16 \, a b^{4} f\right)} x^{13} + 234 \, {\left(10 \, b^{5} d - 13 \, a b^{4} e + 16 \, a^{2} b^{3} f\right)} x^{10} + 585 \, {\left(7 \, b^{5} c - 10 \, a b^{4} d + 13 \, a^{2} b^{3} e - 16 \, a^{3} b^{2} f\right)} x^{7} - 4095 \, {\left(7 \, a b^{4} c - 10 \, a^{2} b^{3} d + 13 \, a^{3} b^{2} e - 16 \, a^{4} b f\right)} x^{4} - 1820 \, \sqrt{3} {\left(7 \, a^{2} b^{3} c - 10 \, a^{3} b^{2} d + 13 \, a^{4} b e - 16 \, a^{5} f + {\left(7 \, a b^{4} c - 10 \, a^{2} b^{3} d + 13 \, a^{3} b^{2} e - 16 \, a^{4} b f\right)} x^{3}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) + 910 \, {\left(7 \, a^{2} b^{3} c - 10 \, a^{3} b^{2} d + 13 \, a^{4} b e - 16 \, a^{5} f + {\left(7 \, a b^{4} c - 10 \, a^{2} b^{3} d + 13 \, a^{3} b^{2} e - 16 \, a^{4} b f\right)} x^{3}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right) - 1820 \, {\left(7 \, a^{2} b^{3} c - 10 \, a^{3} b^{2} d + 13 \, a^{4} b e - 16 \, a^{5} f + {\left(7 \, a b^{4} c - 10 \, a^{2} b^{3} d + 13 \, a^{3} b^{2} e - 16 \, a^{4} b f\right)} x^{3}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x - \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right) - 5460 \, {\left(7 \, a^{2} b^{3} c - 10 \, a^{3} b^{2} d + 13 \, a^{4} b e - 16 \, a^{5} f\right)} x}{16380 \, {\left(b^{7} x^{3} + a b^{6}\right)}}"," ",0,"1/16380*(1260*b^5*f*x^16 + 126*(13*b^5*e - 16*a*b^4*f)*x^13 + 234*(10*b^5*d - 13*a*b^4*e + 16*a^2*b^3*f)*x^10 + 585*(7*b^5*c - 10*a*b^4*d + 13*a^2*b^3*e - 16*a^3*b^2*f)*x^7 - 4095*(7*a*b^4*c - 10*a^2*b^3*d + 13*a^3*b^2*e - 16*a^4*b*f)*x^4 - 1820*sqrt(3)*(7*a^2*b^3*c - 10*a^3*b^2*d + 13*a^4*b*e - 16*a^5*f + (7*a*b^4*c - 10*a^2*b^3*d + 13*a^3*b^2*e - 16*a^4*b*f)*x^3)*(-a/b)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-a/b)^(2/3) - sqrt(3)*a)/a) + 910*(7*a^2*b^3*c - 10*a^3*b^2*d + 13*a^4*b*e - 16*a^5*f + (7*a*b^4*c - 10*a^2*b^3*d + 13*a^3*b^2*e - 16*a^4*b*f)*x^3)*(-a/b)^(1/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3)) - 1820*(7*a^2*b^3*c - 10*a^3*b^2*d + 13*a^4*b*e - 16*a^5*f + (7*a*b^4*c - 10*a^2*b^3*d + 13*a^3*b^2*e - 16*a^4*b*f)*x^3)*(-a/b)^(1/3)*log(x - (-a/b)^(1/3)) - 5460*(7*a^2*b^3*c - 10*a^3*b^2*d + 13*a^4*b*e - 16*a^5*f)*x)/(b^7*x^3 + a*b^6)","A",0
261,1,455,0,0.421344," ","integrate(x^7*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{360 \, b^{4} f x^{14} + 45 \, {\left(11 \, b^{4} e - 14 \, a b^{3} f\right)} x^{11} + 99 \, {\left(8 \, b^{4} d - 11 \, a b^{3} e + 14 \, a^{2} b^{2} f\right)} x^{8} + 396 \, {\left(5 \, b^{4} c - 8 \, a b^{3} d + 11 \, a^{2} b^{2} e - 14 \, a^{3} b f\right)} x^{5} + 660 \, {\left(5 \, a b^{3} c - 8 \, a^{2} b^{2} d + 11 \, a^{3} b e - 14 \, a^{4} f\right)} x^{2} - 440 \, \sqrt{3} {\left(5 \, a b^{3} c - 8 \, a^{2} b^{2} d + 11 \, a^{3} b e - 14 \, a^{4} f + {\left(5 \, b^{4} c - 8 \, a b^{3} d + 11 \, a^{2} b^{2} e - 14 \, a^{3} b f\right)} x^{3}\right)} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} + \sqrt{3} a}{3 \, a}\right) + 220 \, {\left(5 \, a b^{3} c - 8 \, a^{2} b^{2} d + 11 \, a^{3} b e - 14 \, a^{4} f + {\left(5 \, b^{4} c - 8 \, a b^{3} d + 11 \, a^{2} b^{2} e - 14 \, a^{3} b f\right)} x^{3}\right)} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(a x^{2} - b x \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}} - a \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}}\right) - 440 \, {\left(5 \, a b^{3} c - 8 \, a^{2} b^{2} d + 11 \, a^{3} b e - 14 \, a^{4} f + {\left(5 \, b^{4} c - 8 \, a b^{3} d + 11 \, a^{2} b^{2} e - 14 \, a^{3} b f\right)} x^{3}\right)} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(a x + b \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}}\right)}{3960 \, {\left(b^{6} x^{3} + a b^{5}\right)}}"," ",0,"1/3960*(360*b^4*f*x^14 + 45*(11*b^4*e - 14*a*b^3*f)*x^11 + 99*(8*b^4*d - 11*a*b^3*e + 14*a^2*b^2*f)*x^8 + 396*(5*b^4*c - 8*a*b^3*d + 11*a^2*b^2*e - 14*a^3*b*f)*x^5 + 660*(5*a*b^3*c - 8*a^2*b^2*d + 11*a^3*b*e - 14*a^4*f)*x^2 - 440*sqrt(3)*(5*a*b^3*c - 8*a^2*b^2*d + 11*a^3*b*e - 14*a^4*f + (5*b^4*c - 8*a*b^3*d + 11*a^2*b^2*e - 14*a^3*b*f)*x^3)*(-a^2/b^2)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-a^2/b^2)^(1/3) + sqrt(3)*a)/a) + 220*(5*a*b^3*c - 8*a^2*b^2*d + 11*a^3*b*e - 14*a^4*f + (5*b^4*c - 8*a*b^3*d + 11*a^2*b^2*e - 14*a^3*b*f)*x^3)*(-a^2/b^2)^(1/3)*log(a*x^2 - b*x*(-a^2/b^2)^(2/3) - a*(-a^2/b^2)^(1/3)) - 440*(5*a*b^3*c - 8*a^2*b^2*d + 11*a^3*b*e - 14*a^4*f + (5*b^4*c - 8*a*b^3*d + 11*a^2*b^2*e - 14*a^3*b*f)*x^3)*(-a^2/b^2)^(1/3)*log(a*x + b*(-a^2/b^2)^(2/3)))/(b^6*x^3 + a*b^5)","A",0
262,1,423,0,0.421787," ","integrate(x^6*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{126 \, b^{4} f x^{13} + 18 \, {\left(10 \, b^{4} e - 13 \, a b^{3} f\right)} x^{10} + 45 \, {\left(7 \, b^{4} d - 10 \, a b^{3} e + 13 \, a^{2} b^{2} f\right)} x^{7} + 315 \, {\left(4 \, b^{4} c - 7 \, a b^{3} d + 10 \, a^{2} b^{2} e - 13 \, a^{3} b f\right)} x^{4} - 140 \, \sqrt{3} {\left(4 \, a b^{3} c - 7 \, a^{2} b^{2} d + 10 \, a^{3} b e - 13 \, a^{4} f + {\left(4 \, b^{4} c - 7 \, a b^{3} d + 10 \, a^{2} b^{2} e - 13 \, a^{3} b f\right)} x^{3}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) + 70 \, {\left(4 \, a b^{3} c - 7 \, a^{2} b^{2} d + 10 \, a^{3} b e - 13 \, a^{4} f + {\left(4 \, b^{4} c - 7 \, a b^{3} d + 10 \, a^{2} b^{2} e - 13 \, a^{3} b f\right)} x^{3}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right) - 140 \, {\left(4 \, a b^{3} c - 7 \, a^{2} b^{2} d + 10 \, a^{3} b e - 13 \, a^{4} f + {\left(4 \, b^{4} c - 7 \, a b^{3} d + 10 \, a^{2} b^{2} e - 13 \, a^{3} b f\right)} x^{3}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right) + 420 \, {\left(4 \, a b^{3} c - 7 \, a^{2} b^{2} d + 10 \, a^{3} b e - 13 \, a^{4} f\right)} x}{1260 \, {\left(b^{6} x^{3} + a b^{5}\right)}}"," ",0,"1/1260*(126*b^4*f*x^13 + 18*(10*b^4*e - 13*a*b^3*f)*x^10 + 45*(7*b^4*d - 10*a*b^3*e + 13*a^2*b^2*f)*x^7 + 315*(4*b^4*c - 7*a*b^3*d + 10*a^2*b^2*e - 13*a^3*b*f)*x^4 - 140*sqrt(3)*(4*a*b^3*c - 7*a^2*b^2*d + 10*a^3*b*e - 13*a^4*f + (4*b^4*c - 7*a*b^3*d + 10*a^2*b^2*e - 13*a^3*b*f)*x^3)*(a/b)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(a/b)^(2/3) - sqrt(3)*a)/a) + 70*(4*a*b^3*c - 7*a^2*b^2*d + 10*a^3*b*e - 13*a^4*f + (4*b^4*c - 7*a*b^3*d + 10*a^2*b^2*e - 13*a^3*b*f)*x^3)*(a/b)^(1/3)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3)) - 140*(4*a*b^3*c - 7*a^2*b^2*d + 10*a^3*b*e - 13*a^4*f + (4*b^4*c - 7*a*b^3*d + 10*a^2*b^2*e - 13*a^3*b*f)*x^3)*(a/b)^(1/3)*log(x + (a/b)^(1/3)) + 420*(4*a*b^3*c - 7*a^2*b^2*d + 10*a^3*b*e - 13*a^4*f)*x)/(b^6*x^3 + a*b^5)","A",0
263,1,920,0,0.454258," ","integrate(x^4*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\left[\frac{45 \, a b^{5} f x^{11} + 9 \, {\left(8 \, a b^{5} e - 11 \, a^{2} b^{4} f\right)} x^{8} + 36 \, {\left(5 \, a b^{5} d - 8 \, a^{2} b^{4} e + 11 \, a^{3} b^{3} f\right)} x^{5} - 60 \, {\left(2 \, a b^{5} c - 5 \, a^{2} b^{4} d + 8 \, a^{3} b^{3} e - 11 \, a^{4} b^{2} f\right)} x^{2} - 60 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{2} b^{4} c - 5 \, a^{3} b^{3} d + 8 \, a^{4} b^{2} e - 11 \, a^{5} b f + {\left(2 \, a b^{5} c - 5 \, a^{2} b^{4} d + 8 \, a^{3} b^{3} e - 11 \, a^{4} b^{2} f\right)} x^{3}\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b - 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(a b^{2}\right)^{\frac{2}{3}} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + 20 \, {\left(2 \, a b^{3} c - 5 \, a^{2} b^{2} d + 8 \, a^{3} b e - 11 \, a^{4} f + {\left(2 \, b^{4} c - 5 \, a b^{3} d + 8 \, a^{2} b^{2} e - 11 \, a^{3} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) - 40 \, {\left(2 \, a b^{3} c - 5 \, a^{2} b^{2} d + 8 \, a^{3} b e - 11 \, a^{4} f + {\left(2 \, b^{4} c - 5 \, a b^{3} d + 8 \, a^{2} b^{2} e - 11 \, a^{3} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right)}{360 \, {\left(a b^{7} x^{3} + a^{2} b^{6}\right)}}, \frac{45 \, a b^{5} f x^{11} + 9 \, {\left(8 \, a b^{5} e - 11 \, a^{2} b^{4} f\right)} x^{8} + 36 \, {\left(5 \, a b^{5} d - 8 \, a^{2} b^{4} e + 11 \, a^{3} b^{3} f\right)} x^{5} - 60 \, {\left(2 \, a b^{5} c - 5 \, a^{2} b^{4} d + 8 \, a^{3} b^{3} e - 11 \, a^{4} b^{2} f\right)} x^{2} - 120 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{2} b^{4} c - 5 \, a^{3} b^{3} d + 8 \, a^{4} b^{2} e - 11 \, a^{5} b f + {\left(2 \, a b^{5} c - 5 \, a^{2} b^{4} d + 8 \, a^{3} b^{3} e - 11 \, a^{4} b^{2} f\right)} x^{3}\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x - \left(a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 20 \, {\left(2 \, a b^{3} c - 5 \, a^{2} b^{2} d + 8 \, a^{3} b e - 11 \, a^{4} f + {\left(2 \, b^{4} c - 5 \, a b^{3} d + 8 \, a^{2} b^{2} e - 11 \, a^{3} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) - 40 \, {\left(2 \, a b^{3} c - 5 \, a^{2} b^{2} d + 8 \, a^{3} b e - 11 \, a^{4} f + {\left(2 \, b^{4} c - 5 \, a b^{3} d + 8 \, a^{2} b^{2} e - 11 \, a^{3} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right)}{360 \, {\left(a b^{7} x^{3} + a^{2} b^{6}\right)}}\right]"," ",0,"[1/360*(45*a*b^5*f*x^11 + 9*(8*a*b^5*e - 11*a^2*b^4*f)*x^8 + 36*(5*a*b^5*d - 8*a^2*b^4*e + 11*a^3*b^3*f)*x^5 - 60*(2*a*b^5*c - 5*a^2*b^4*d + 8*a^3*b^3*e - 11*a^4*b^2*f)*x^2 - 60*sqrt(1/3)*(2*a^2*b^4*c - 5*a^3*b^3*d + 8*a^4*b^2*e - 11*a^5*b*f + (2*a*b^5*c - 5*a^2*b^4*d + 8*a^3*b^3*e - 11*a^4*b^2*f)*x^3)*sqrt(-(a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b - 3*sqrt(1/3)*(a*b*x + 2*(a*b^2)^(2/3)*x^2 - (a*b^2)^(1/3)*a)*sqrt(-(a*b^2)^(1/3)/a) - 3*(a*b^2)^(2/3)*x)/(b*x^3 + a)) + 20*(2*a*b^3*c - 5*a^2*b^2*d + 8*a^3*b*e - 11*a^4*f + (2*b^4*c - 5*a*b^3*d + 8*a^2*b^2*e - 11*a^3*b*f)*x^3)*(a*b^2)^(2/3)*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) - 40*(2*a*b^3*c - 5*a^2*b^2*d + 8*a^3*b*e - 11*a^4*f + (2*b^4*c - 5*a*b^3*d + 8*a^2*b^2*e - 11*a^3*b*f)*x^3)*(a*b^2)^(2/3)*log(b*x + (a*b^2)^(1/3)))/(a*b^7*x^3 + a^2*b^6), 1/360*(45*a*b^5*f*x^11 + 9*(8*a*b^5*e - 11*a^2*b^4*f)*x^8 + 36*(5*a*b^5*d - 8*a^2*b^4*e + 11*a^3*b^3*f)*x^5 - 60*(2*a*b^5*c - 5*a^2*b^4*d + 8*a^3*b^3*e - 11*a^4*b^2*f)*x^2 - 120*sqrt(1/3)*(2*a^2*b^4*c - 5*a^3*b^3*d + 8*a^4*b^2*e - 11*a^5*b*f + (2*a*b^5*c - 5*a^2*b^4*d + 8*a^3*b^3*e - 11*a^4*b^2*f)*x^3)*sqrt((a*b^2)^(1/3)/a)*arctan(-sqrt(1/3)*(2*b*x - (a*b^2)^(1/3))*sqrt((a*b^2)^(1/3)/a)/b) + 20*(2*a*b^3*c - 5*a^2*b^2*d + 8*a^3*b*e - 11*a^4*f + (2*b^4*c - 5*a*b^3*d + 8*a^2*b^2*e - 11*a^3*b*f)*x^3)*(a*b^2)^(2/3)*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) - 40*(2*a*b^3*c - 5*a^2*b^2*d + 8*a^3*b*e - 11*a^4*f + (2*b^4*c - 5*a*b^3*d + 8*a^2*b^2*e - 11*a^3*b*f)*x^3)*(a*b^2)^(2/3)*log(b*x + (a*b^2)^(1/3)))/(a*b^7*x^3 + a^2*b^6)]","A",0
264,1,946,0,0.468838," ","integrate(x^3*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\left[\frac{36 \, a^{2} b^{4} f x^{10} + 9 \, {\left(7 \, a^{2} b^{4} e - 10 \, a^{3} b^{3} f\right)} x^{7} + 63 \, {\left(4 \, a^{2} b^{4} d - 7 \, a^{3} b^{3} e + 10 \, a^{4} b^{2} f\right)} x^{4} - 42 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{4} c - 4 \, a^{3} b^{3} d + 7 \, a^{4} b^{2} e - 10 \, a^{5} b f + {\left(a b^{5} c - 4 \, a^{2} b^{4} d + 7 \, a^{3} b^{3} e - 10 \, a^{4} b^{2} f\right)} x^{3}\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} + 3 \, \left(-a^{2} b\right)^{\frac{1}{3}} a x - a^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - 14 \, {\left(a b^{3} c - 4 \, a^{2} b^{2} d + 7 \, a^{3} b e - 10 \, a^{4} f + {\left(b^{4} c - 4 \, a b^{3} d + 7 \, a^{2} b^{2} e - 10 \, a^{3} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) + 28 \, {\left(a b^{3} c - 4 \, a^{2} b^{2} d + 7 \, a^{3} b e - 10 \, a^{4} f + {\left(b^{4} c - 4 \, a b^{3} d + 7 \, a^{2} b^{2} e - 10 \, a^{3} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right) - 84 \, {\left(a^{2} b^{4} c - 4 \, a^{3} b^{3} d + 7 \, a^{4} b^{2} e - 10 \, a^{5} b f\right)} x}{252 \, {\left(a^{2} b^{6} x^{3} + a^{3} b^{5}\right)}}, \frac{36 \, a^{2} b^{4} f x^{10} + 9 \, {\left(7 \, a^{2} b^{4} e - 10 \, a^{3} b^{3} f\right)} x^{7} + 63 \, {\left(4 \, a^{2} b^{4} d - 7 \, a^{3} b^{3} e + 10 \, a^{4} b^{2} f\right)} x^{4} + 84 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{4} c - 4 \, a^{3} b^{3} d + 7 \, a^{4} b^{2} e - 10 \, a^{5} b f + {\left(a b^{5} c - 4 \, a^{2} b^{4} d + 7 \, a^{3} b^{3} e - 10 \, a^{4} b^{2} f\right)} x^{3}\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 14 \, {\left(a b^{3} c - 4 \, a^{2} b^{2} d + 7 \, a^{3} b e - 10 \, a^{4} f + {\left(b^{4} c - 4 \, a b^{3} d + 7 \, a^{2} b^{2} e - 10 \, a^{3} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) + 28 \, {\left(a b^{3} c - 4 \, a^{2} b^{2} d + 7 \, a^{3} b e - 10 \, a^{4} f + {\left(b^{4} c - 4 \, a b^{3} d + 7 \, a^{2} b^{2} e - 10 \, a^{3} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right) - 84 \, {\left(a^{2} b^{4} c - 4 \, a^{3} b^{3} d + 7 \, a^{4} b^{2} e - 10 \, a^{5} b f\right)} x}{252 \, {\left(a^{2} b^{6} x^{3} + a^{3} b^{5}\right)}}\right]"," ",0,"[1/252*(36*a^2*b^4*f*x^10 + 9*(7*a^2*b^4*e - 10*a^3*b^3*f)*x^7 + 63*(4*a^2*b^4*d - 7*a^3*b^3*e + 10*a^4*b^2*f)*x^4 - 42*sqrt(1/3)*(a^2*b^4*c - 4*a^3*b^3*d + 7*a^4*b^2*e - 10*a^5*b*f + (a*b^5*c - 4*a^2*b^4*d + 7*a^3*b^3*e - 10*a^4*b^2*f)*x^3)*sqrt((-a^2*b)^(1/3)/b)*log((2*a*b*x^3 + 3*(-a^2*b)^(1/3)*a*x - a^2 - 3*sqrt(1/3)*(2*a*b*x^2 + (-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt((-a^2*b)^(1/3)/b))/(b*x^3 + a)) - 14*(a*b^3*c - 4*a^2*b^2*d + 7*a^3*b*e - 10*a^4*f + (b^4*c - 4*a*b^3*d + 7*a^2*b^2*e - 10*a^3*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) + 28*(a*b^3*c - 4*a^2*b^2*d + 7*a^3*b*e - 10*a^4*f + (b^4*c - 4*a*b^3*d + 7*a^2*b^2*e - 10*a^3*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x + (-a^2*b)^(2/3)) - 84*(a^2*b^4*c - 4*a^3*b^3*d + 7*a^4*b^2*e - 10*a^5*b*f)*x)/(a^2*b^6*x^3 + a^3*b^5), 1/252*(36*a^2*b^4*f*x^10 + 9*(7*a^2*b^4*e - 10*a^3*b^3*f)*x^7 + 63*(4*a^2*b^4*d - 7*a^3*b^3*e + 10*a^4*b^2*f)*x^4 + 84*sqrt(1/3)*(a^2*b^4*c - 4*a^3*b^3*d + 7*a^4*b^2*e - 10*a^5*b*f + (a*b^5*c - 4*a^2*b^4*d + 7*a^3*b^3*e - 10*a^4*b^2*f)*x^3)*sqrt(-(-a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt(-(-a^2*b)^(1/3)/b)/a^2) - 14*(a*b^3*c - 4*a^2*b^2*d + 7*a^3*b*e - 10*a^4*f + (b^4*c - 4*a*b^3*d + 7*a^2*b^2*e - 10*a^3*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) + 28*(a*b^3*c - 4*a^2*b^2*d + 7*a^3*b*e - 10*a^4*f + (b^4*c - 4*a*b^3*d + 7*a^2*b^2*e - 10*a^3*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x + (-a^2*b)^(2/3)) - 84*(a^2*b^4*c - 4*a^3*b^3*d + 7*a^4*b^2*e - 10*a^5*b*f)*x)/(a^2*b^6*x^3 + a^3*b^5)]","A",0
265,1,874,0,0.468504," ","integrate(x*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\left[\frac{18 \, a^{2} b^{4} f x^{8} + 9 \, {\left(5 \, a^{2} b^{4} e - 8 \, a^{3} b^{3} f\right)} x^{5} + 15 \, {\left(2 \, a b^{5} c - 2 \, a^{2} b^{4} d + 5 \, a^{3} b^{3} e - 8 \, a^{4} b^{2} f\right)} x^{2} + 15 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{4} c + 2 \, a^{3} b^{3} d - 5 \, a^{4} b^{2} e + 8 \, a^{5} b f + {\left(a b^{5} c + 2 \, a^{2} b^{4} d - 5 \, a^{3} b^{3} e + 8 \, a^{4} b^{2} f\right)} x^{3}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + 5 \, {\left(a b^{3} c + 2 \, a^{2} b^{2} d - 5 \, a^{3} b e + 8 \, a^{4} f + {\left(b^{4} c + 2 \, a b^{3} d - 5 \, a^{2} b^{2} e + 8 \, a^{3} b f\right)} x^{3}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 10 \, {\left(a b^{3} c + 2 \, a^{2} b^{2} d - 5 \, a^{3} b e + 8 \, a^{4} f + {\left(b^{4} c + 2 \, a b^{3} d - 5 \, a^{2} b^{2} e + 8 \, a^{3} b f\right)} x^{3}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{90 \, {\left(a^{2} b^{6} x^{3} + a^{3} b^{5}\right)}}, \frac{18 \, a^{2} b^{4} f x^{8} + 9 \, {\left(5 \, a^{2} b^{4} e - 8 \, a^{3} b^{3} f\right)} x^{5} + 15 \, {\left(2 \, a b^{5} c - 2 \, a^{2} b^{4} d + 5 \, a^{3} b^{3} e - 8 \, a^{4} b^{2} f\right)} x^{2} + 30 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{4} c + 2 \, a^{3} b^{3} d - 5 \, a^{4} b^{2} e + 8 \, a^{5} b f + {\left(a b^{5} c + 2 \, a^{2} b^{4} d - 5 \, a^{3} b^{3} e + 8 \, a^{4} b^{2} f\right)} x^{3}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 5 \, {\left(a b^{3} c + 2 \, a^{2} b^{2} d - 5 \, a^{3} b e + 8 \, a^{4} f + {\left(b^{4} c + 2 \, a b^{3} d - 5 \, a^{2} b^{2} e + 8 \, a^{3} b f\right)} x^{3}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 10 \, {\left(a b^{3} c + 2 \, a^{2} b^{2} d - 5 \, a^{3} b e + 8 \, a^{4} f + {\left(b^{4} c + 2 \, a b^{3} d - 5 \, a^{2} b^{2} e + 8 \, a^{3} b f\right)} x^{3}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{90 \, {\left(a^{2} b^{6} x^{3} + a^{3} b^{5}\right)}}\right]"," ",0,"[1/90*(18*a^2*b^4*f*x^8 + 9*(5*a^2*b^4*e - 8*a^3*b^3*f)*x^5 + 15*(2*a*b^5*c - 2*a^2*b^4*d + 5*a^3*b^3*e - 8*a^4*b^2*f)*x^2 + 15*sqrt(1/3)*(a^2*b^4*c + 2*a^3*b^3*d - 5*a^4*b^2*e + 8*a^5*b*f + (a*b^5*c + 2*a^2*b^4*d - 5*a^3*b^3*e + 8*a^4*b^2*f)*x^3)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b + 3*sqrt(1/3)*(a*b*x + 2*(-a*b^2)^(2/3)*x^2 + (-a*b^2)^(1/3)*a)*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x)/(b*x^3 + a)) + 5*(a*b^3*c + 2*a^2*b^2*d - 5*a^3*b*e + 8*a^4*f + (b^4*c + 2*a*b^3*d - 5*a^2*b^2*e + 8*a^3*b*f)*x^3)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 10*(a*b^3*c + 2*a^2*b^2*d - 5*a^3*b*e + 8*a^4*f + (b^4*c + 2*a*b^3*d - 5*a^2*b^2*e + 8*a^3*b*f)*x^3)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^2*b^6*x^3 + a^3*b^5), 1/90*(18*a^2*b^4*f*x^8 + 9*(5*a^2*b^4*e - 8*a^3*b^3*f)*x^5 + 15*(2*a*b^5*c - 2*a^2*b^4*d + 5*a^3*b^3*e - 8*a^4*b^2*f)*x^2 + 30*sqrt(1/3)*(a^2*b^4*c + 2*a^3*b^3*d - 5*a^4*b^2*e + 8*a^5*b*f + (a*b^5*c + 2*a^2*b^4*d - 5*a^3*b^3*e + 8*a^4*b^2*f)*x^3)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + 5*(a*b^3*c + 2*a^2*b^2*d - 5*a^3*b*e + 8*a^4*f + (b^4*c + 2*a*b^3*d - 5*a^2*b^2*e + 8*a^3*b*f)*x^3)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 10*(a*b^3*c + 2*a^2*b^2*d - 5*a^3*b*e + 8*a^4*f + (b^4*c + 2*a*b^3*d - 5*a^2*b^2*e + 8*a^3*b*f)*x^3)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^2*b^6*x^3 + a^3*b^5)]","A",0
266,1,861,0,0.445507," ","integrate((f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\left[\frac{9 \, a^{3} b^{3} f x^{7} + 9 \, {\left(4 \, a^{3} b^{3} e - 7 \, a^{4} b^{2} f\right)} x^{4} + 6 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{2} b^{4} c + a^{3} b^{3} d - 4 \, a^{4} b^{2} e + 7 \, a^{5} b f + {\left(2 \, a b^{5} c + a^{2} b^{4} d - 4 \, a^{3} b^{3} e + 7 \, a^{4} b^{2} f\right)} x^{3}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - 2 \, {\left(2 \, a b^{3} c + a^{2} b^{2} d - 4 \, a^{3} b e + 7 \, a^{4} f + {\left(2 \, b^{4} c + a b^{3} d - 4 \, a^{2} b^{2} e + 7 \, a^{3} b f\right)} x^{3}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 4 \, {\left(2 \, a b^{3} c + a^{2} b^{2} d - 4 \, a^{3} b e + 7 \, a^{4} f + {\left(2 \, b^{4} c + a b^{3} d - 4 \, a^{2} b^{2} e + 7 \, a^{3} b f\right)} x^{3}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right) + 12 \, {\left(a^{2} b^{4} c - a^{3} b^{3} d + 4 \, a^{4} b^{2} e - 7 \, a^{5} b f\right)} x}{36 \, {\left(a^{3} b^{5} x^{3} + a^{4} b^{4}\right)}}, \frac{9 \, a^{3} b^{3} f x^{7} + 9 \, {\left(4 \, a^{3} b^{3} e - 7 \, a^{4} b^{2} f\right)} x^{4} + 12 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{2} b^{4} c + a^{3} b^{3} d - 4 \, a^{4} b^{2} e + 7 \, a^{5} b f + {\left(2 \, a b^{5} c + a^{2} b^{4} d - 4 \, a^{3} b^{3} e + 7 \, a^{4} b^{2} f\right)} x^{3}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 2 \, {\left(2 \, a b^{3} c + a^{2} b^{2} d - 4 \, a^{3} b e + 7 \, a^{4} f + {\left(2 \, b^{4} c + a b^{3} d - 4 \, a^{2} b^{2} e + 7 \, a^{3} b f\right)} x^{3}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 4 \, {\left(2 \, a b^{3} c + a^{2} b^{2} d - 4 \, a^{3} b e + 7 \, a^{4} f + {\left(2 \, b^{4} c + a b^{3} d - 4 \, a^{2} b^{2} e + 7 \, a^{3} b f\right)} x^{3}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right) + 12 \, {\left(a^{2} b^{4} c - a^{3} b^{3} d + 4 \, a^{4} b^{2} e - 7 \, a^{5} b f\right)} x}{36 \, {\left(a^{3} b^{5} x^{3} + a^{4} b^{4}\right)}}\right]"," ",0,"[1/36*(9*a^3*b^3*f*x^7 + 9*(4*a^3*b^3*e - 7*a^4*b^2*f)*x^4 + 6*sqrt(1/3)*(2*a^2*b^4*c + a^3*b^3*d - 4*a^4*b^2*e + 7*a^5*b*f + (2*a*b^5*c + a^2*b^4*d - 4*a^3*b^3*e + 7*a^4*b^2*f)*x^3)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x^3 - 3*(a^2*b)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^2 + (a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b))/(b*x^3 + a)) - 2*(2*a*b^3*c + a^2*b^2*d - 4*a^3*b*e + 7*a^4*f + (2*b^4*c + a*b^3*d - 4*a^2*b^2*e + 7*a^3*b*f)*x^3)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 4*(2*a*b^3*c + a^2*b^2*d - 4*a^3*b*e + 7*a^4*f + (2*b^4*c + a*b^3*d - 4*a^2*b^2*e + 7*a^3*b*f)*x^3)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)) + 12*(a^2*b^4*c - a^3*b^3*d + 4*a^4*b^2*e - 7*a^5*b*f)*x)/(a^3*b^5*x^3 + a^4*b^4), 1/36*(9*a^3*b^3*f*x^7 + 9*(4*a^3*b^3*e - 7*a^4*b^2*f)*x^4 + 12*sqrt(1/3)*(2*a^2*b^4*c + a^3*b^3*d - 4*a^4*b^2*e + 7*a^5*b*f + (2*a*b^5*c + a^2*b^4*d - 4*a^3*b^3*e + 7*a^4*b^2*f)*x^3)*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) - 2*(2*a*b^3*c + a^2*b^2*d - 4*a^3*b*e + 7*a^4*f + (2*b^4*c + a*b^3*d - 4*a^2*b^2*e + 7*a^3*b*f)*x^3)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 4*(2*a*b^3*c + a^2*b^2*d - 4*a^3*b*e + 7*a^4*f + (2*b^4*c + a*b^3*d - 4*a^2*b^2*e + 7*a^3*b*f)*x^3)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)) + 12*(a^2*b^4*c - a^3*b^3*d + 4*a^4*b^2*e - 7*a^5*b*f)*x)/(a^3*b^5*x^3 + a^4*b^4)]","A",0
267,1,860,0,0.446641," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^2/(b*x^3+a)^2,x, algorithm=""fricas"")","\left[\frac{9 \, a^{3} b^{3} f x^{6} - 18 \, a^{2} b^{4} c - 3 \, {\left(8 \, a b^{5} c - 2 \, a^{2} b^{4} d + 2 \, a^{3} b^{3} e - 5 \, a^{4} b^{2} f\right)} x^{3} + 3 \, \sqrt{\frac{1}{3}} {\left({\left(4 \, a b^{5} c - a^{2} b^{4} d - 2 \, a^{3} b^{3} e + 5 \, a^{4} b^{2} f\right)} x^{4} + {\left(4 \, a^{2} b^{4} c - a^{3} b^{3} d - 2 \, a^{4} b^{2} e + 5 \, a^{5} b f\right)} x\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b - 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(a b^{2}\right)^{\frac{2}{3}} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) - {\left({\left(4 \, b^{4} c - a b^{3} d - 2 \, a^{2} b^{2} e + 5 \, a^{3} b f\right)} x^{4} + {\left(4 \, a b^{3} c - a^{2} b^{2} d - 2 \, a^{3} b e + 5 \, a^{4} f\right)} x\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) + 2 \, {\left({\left(4 \, b^{4} c - a b^{3} d - 2 \, a^{2} b^{2} e + 5 \, a^{3} b f\right)} x^{4} + {\left(4 \, a b^{3} c - a^{2} b^{2} d - 2 \, a^{3} b e + 5 \, a^{4} f\right)} x\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right)}{18 \, {\left(a^{3} b^{5} x^{4} + a^{4} b^{4} x\right)}}, \frac{9 \, a^{3} b^{3} f x^{6} - 18 \, a^{2} b^{4} c - 3 \, {\left(8 \, a b^{5} c - 2 \, a^{2} b^{4} d + 2 \, a^{3} b^{3} e - 5 \, a^{4} b^{2} f\right)} x^{3} + 6 \, \sqrt{\frac{1}{3}} {\left({\left(4 \, a b^{5} c - a^{2} b^{4} d - 2 \, a^{3} b^{3} e + 5 \, a^{4} b^{2} f\right)} x^{4} + {\left(4 \, a^{2} b^{4} c - a^{3} b^{3} d - 2 \, a^{4} b^{2} e + 5 \, a^{5} b f\right)} x\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x - \left(a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) - {\left({\left(4 \, b^{4} c - a b^{3} d - 2 \, a^{2} b^{2} e + 5 \, a^{3} b f\right)} x^{4} + {\left(4 \, a b^{3} c - a^{2} b^{2} d - 2 \, a^{3} b e + 5 \, a^{4} f\right)} x\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) + 2 \, {\left({\left(4 \, b^{4} c - a b^{3} d - 2 \, a^{2} b^{2} e + 5 \, a^{3} b f\right)} x^{4} + {\left(4 \, a b^{3} c - a^{2} b^{2} d - 2 \, a^{3} b e + 5 \, a^{4} f\right)} x\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right)}{18 \, {\left(a^{3} b^{5} x^{4} + a^{4} b^{4} x\right)}}\right]"," ",0,"[1/18*(9*a^3*b^3*f*x^6 - 18*a^2*b^4*c - 3*(8*a*b^5*c - 2*a^2*b^4*d + 2*a^3*b^3*e - 5*a^4*b^2*f)*x^3 + 3*sqrt(1/3)*((4*a*b^5*c - a^2*b^4*d - 2*a^3*b^3*e + 5*a^4*b^2*f)*x^4 + (4*a^2*b^4*c - a^3*b^3*d - 2*a^4*b^2*e + 5*a^5*b*f)*x)*sqrt(-(a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b - 3*sqrt(1/3)*(a*b*x + 2*(a*b^2)^(2/3)*x^2 - (a*b^2)^(1/3)*a)*sqrt(-(a*b^2)^(1/3)/a) - 3*(a*b^2)^(2/3)*x)/(b*x^3 + a)) - ((4*b^4*c - a*b^3*d - 2*a^2*b^2*e + 5*a^3*b*f)*x^4 + (4*a*b^3*c - a^2*b^2*d - 2*a^3*b*e + 5*a^4*f)*x)*(a*b^2)^(2/3)*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) + 2*((4*b^4*c - a*b^3*d - 2*a^2*b^2*e + 5*a^3*b*f)*x^4 + (4*a*b^3*c - a^2*b^2*d - 2*a^3*b*e + 5*a^4*f)*x)*(a*b^2)^(2/3)*log(b*x + (a*b^2)^(1/3)))/(a^3*b^5*x^4 + a^4*b^4*x), 1/18*(9*a^3*b^3*f*x^6 - 18*a^2*b^4*c - 3*(8*a*b^5*c - 2*a^2*b^4*d + 2*a^3*b^3*e - 5*a^4*b^2*f)*x^3 + 6*sqrt(1/3)*((4*a*b^5*c - a^2*b^4*d - 2*a^3*b^3*e + 5*a^4*b^2*f)*x^4 + (4*a^2*b^4*c - a^3*b^3*d - 2*a^4*b^2*e + 5*a^5*b*f)*x)*sqrt((a*b^2)^(1/3)/a)*arctan(-sqrt(1/3)*(2*b*x - (a*b^2)^(1/3))*sqrt((a*b^2)^(1/3)/a)/b) - ((4*b^4*c - a*b^3*d - 2*a^2*b^2*e + 5*a^3*b*f)*x^4 + (4*a*b^3*c - a^2*b^2*d - 2*a^3*b*e + 5*a^4*f)*x)*(a*b^2)^(2/3)*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) + 2*((4*b^4*c - a*b^3*d - 2*a^2*b^2*e + 5*a^3*b*f)*x^4 + (4*a*b^3*c - a^2*b^2*d - 2*a^3*b*e + 5*a^4*f)*x)*(a*b^2)^(2/3)*log(b*x + (a*b^2)^(1/3)))/(a^3*b^5*x^4 + a^4*b^4*x)]","A",0
268,1,902,0,0.452571," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^3/(b*x^3+a)^2,x, algorithm=""fricas"")","\left[\frac{18 \, a^{4} b^{2} f x^{6} - 9 \, a^{3} b^{3} c - 3 \, {\left(5 \, a^{2} b^{4} c - 2 \, a^{3} b^{3} d + 2 \, a^{4} b^{2} e - 8 \, a^{5} b f\right)} x^{3} + 3 \, \sqrt{\frac{1}{3}} {\left({\left(5 \, a b^{5} c - 2 \, a^{2} b^{4} d - a^{3} b^{3} e + 4 \, a^{4} b^{2} f\right)} x^{5} + {\left(5 \, a^{2} b^{4} c - 2 \, a^{3} b^{3} d - a^{4} b^{2} e + 4 \, a^{5} b f\right)} x^{2}\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} + 3 \, \left(-a^{2} b\right)^{\frac{1}{3}} a x - a^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) + {\left({\left(5 \, b^{4} c - 2 \, a b^{3} d - a^{2} b^{2} e + 4 \, a^{3} b f\right)} x^{5} + {\left(5 \, a b^{3} c - 2 \, a^{2} b^{2} d - a^{3} b e + 4 \, a^{4} f\right)} x^{2}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) - 2 \, {\left({\left(5 \, b^{4} c - 2 \, a b^{3} d - a^{2} b^{2} e + 4 \, a^{3} b f\right)} x^{5} + {\left(5 \, a b^{3} c - 2 \, a^{2} b^{2} d - a^{3} b e + 4 \, a^{4} f\right)} x^{2}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right)}{18 \, {\left(a^{4} b^{4} x^{5} + a^{5} b^{3} x^{2}\right)}}, \frac{18 \, a^{4} b^{2} f x^{6} - 9 \, a^{3} b^{3} c - 3 \, {\left(5 \, a^{2} b^{4} c - 2 \, a^{3} b^{3} d + 2 \, a^{4} b^{2} e - 8 \, a^{5} b f\right)} x^{3} - 6 \, \sqrt{\frac{1}{3}} {\left({\left(5 \, a b^{5} c - 2 \, a^{2} b^{4} d - a^{3} b^{3} e + 4 \, a^{4} b^{2} f\right)} x^{5} + {\left(5 \, a^{2} b^{4} c - 2 \, a^{3} b^{3} d - a^{4} b^{2} e + 4 \, a^{5} b f\right)} x^{2}\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) + {\left({\left(5 \, b^{4} c - 2 \, a b^{3} d - a^{2} b^{2} e + 4 \, a^{3} b f\right)} x^{5} + {\left(5 \, a b^{3} c - 2 \, a^{2} b^{2} d - a^{3} b e + 4 \, a^{4} f\right)} x^{2}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) - 2 \, {\left({\left(5 \, b^{4} c - 2 \, a b^{3} d - a^{2} b^{2} e + 4 \, a^{3} b f\right)} x^{5} + {\left(5 \, a b^{3} c - 2 \, a^{2} b^{2} d - a^{3} b e + 4 \, a^{4} f\right)} x^{2}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right)}{18 \, {\left(a^{4} b^{4} x^{5} + a^{5} b^{3} x^{2}\right)}}\right]"," ",0,"[1/18*(18*a^4*b^2*f*x^6 - 9*a^3*b^3*c - 3*(5*a^2*b^4*c - 2*a^3*b^3*d + 2*a^4*b^2*e - 8*a^5*b*f)*x^3 + 3*sqrt(1/3)*((5*a*b^5*c - 2*a^2*b^4*d - a^3*b^3*e + 4*a^4*b^2*f)*x^5 + (5*a^2*b^4*c - 2*a^3*b^3*d - a^4*b^2*e + 4*a^5*b*f)*x^2)*sqrt((-a^2*b)^(1/3)/b)*log((2*a*b*x^3 + 3*(-a^2*b)^(1/3)*a*x - a^2 - 3*sqrt(1/3)*(2*a*b*x^2 + (-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt((-a^2*b)^(1/3)/b))/(b*x^3 + a)) + ((5*b^4*c - 2*a*b^3*d - a^2*b^2*e + 4*a^3*b*f)*x^5 + (5*a*b^3*c - 2*a^2*b^2*d - a^3*b*e + 4*a^4*f)*x^2)*(-a^2*b)^(2/3)*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) - 2*((5*b^4*c - 2*a*b^3*d - a^2*b^2*e + 4*a^3*b*f)*x^5 + (5*a*b^3*c - 2*a^2*b^2*d - a^3*b*e + 4*a^4*f)*x^2)*(-a^2*b)^(2/3)*log(a*b*x + (-a^2*b)^(2/3)))/(a^4*b^4*x^5 + a^5*b^3*x^2), 1/18*(18*a^4*b^2*f*x^6 - 9*a^3*b^3*c - 3*(5*a^2*b^4*c - 2*a^3*b^3*d + 2*a^4*b^2*e - 8*a^5*b*f)*x^3 - 6*sqrt(1/3)*((5*a*b^5*c - 2*a^2*b^4*d - a^3*b^3*e + 4*a^4*b^2*f)*x^5 + (5*a^2*b^4*c - 2*a^3*b^3*d - a^4*b^2*e + 4*a^5*b*f)*x^2)*sqrt(-(-a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt(-(-a^2*b)^(1/3)/b)/a^2) + ((5*b^4*c - 2*a*b^3*d - a^2*b^2*e + 4*a^3*b*f)*x^5 + (5*a*b^3*c - 2*a^2*b^2*d - a^3*b*e + 4*a^4*f)*x^2)*(-a^2*b)^(2/3)*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) - 2*((5*b^4*c - 2*a*b^3*d - a^2*b^2*e + 4*a^3*b*f)*x^5 + (5*a*b^3*c - 2*a^2*b^2*d - a^3*b*e + 4*a^4*f)*x^2)*(-a^2*b)^(2/3)*log(a*b*x + (-a^2*b)^(2/3)))/(a^4*b^4*x^5 + a^5*b^3*x^2)]","A",0
269,1,902,0,0.446545," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^5/(b*x^3+a)^2,x, algorithm=""fricas"")","\left[-\frac{9 \, a^{3} b^{3} c - 12 \, {\left(7 \, a b^{5} c - 4 \, a^{2} b^{4} d + a^{3} b^{3} e - a^{4} b^{2} f\right)} x^{6} - 9 \, {\left(7 \, a^{2} b^{4} c - 4 \, a^{3} b^{3} d\right)} x^{3} - 6 \, \sqrt{\frac{1}{3}} {\left({\left(7 \, a b^{5} c - 4 \, a^{2} b^{4} d + a^{3} b^{3} e + 2 \, a^{4} b^{2} f\right)} x^{7} + {\left(7 \, a^{2} b^{4} c - 4 \, a^{3} b^{3} d + a^{4} b^{2} e + 2 \, a^{5} b f\right)} x^{4}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) - 2 \, {\left({\left(7 \, b^{4} c - 4 \, a b^{3} d + a^{2} b^{2} e + 2 \, a^{3} b f\right)} x^{7} + {\left(7 \, a b^{3} c - 4 \, a^{2} b^{2} d + a^{3} b e + 2 \, a^{4} f\right)} x^{4}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) + 4 \, {\left({\left(7 \, b^{4} c - 4 \, a b^{3} d + a^{2} b^{2} e + 2 \, a^{3} b f\right)} x^{7} + {\left(7 \, a b^{3} c - 4 \, a^{2} b^{2} d + a^{3} b e + 2 \, a^{4} f\right)} x^{4}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{36 \, {\left(a^{4} b^{4} x^{7} + a^{5} b^{3} x^{4}\right)}}, -\frac{9 \, a^{3} b^{3} c - 12 \, {\left(7 \, a b^{5} c - 4 \, a^{2} b^{4} d + a^{3} b^{3} e - a^{4} b^{2} f\right)} x^{6} - 9 \, {\left(7 \, a^{2} b^{4} c - 4 \, a^{3} b^{3} d\right)} x^{3} - 12 \, \sqrt{\frac{1}{3}} {\left({\left(7 \, a b^{5} c - 4 \, a^{2} b^{4} d + a^{3} b^{3} e + 2 \, a^{4} b^{2} f\right)} x^{7} + {\left(7 \, a^{2} b^{4} c - 4 \, a^{3} b^{3} d + a^{4} b^{2} e + 2 \, a^{5} b f\right)} x^{4}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) - 2 \, {\left({\left(7 \, b^{4} c - 4 \, a b^{3} d + a^{2} b^{2} e + 2 \, a^{3} b f\right)} x^{7} + {\left(7 \, a b^{3} c - 4 \, a^{2} b^{2} d + a^{3} b e + 2 \, a^{4} f\right)} x^{4}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) + 4 \, {\left({\left(7 \, b^{4} c - 4 \, a b^{3} d + a^{2} b^{2} e + 2 \, a^{3} b f\right)} x^{7} + {\left(7 \, a b^{3} c - 4 \, a^{2} b^{2} d + a^{3} b e + 2 \, a^{4} f\right)} x^{4}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{36 \, {\left(a^{4} b^{4} x^{7} + a^{5} b^{3} x^{4}\right)}}\right]"," ",0,"[-1/36*(9*a^3*b^3*c - 12*(7*a*b^5*c - 4*a^2*b^4*d + a^3*b^3*e - a^4*b^2*f)*x^6 - 9*(7*a^2*b^4*c - 4*a^3*b^3*d)*x^3 - 6*sqrt(1/3)*((7*a*b^5*c - 4*a^2*b^4*d + a^3*b^3*e + 2*a^4*b^2*f)*x^7 + (7*a^2*b^4*c - 4*a^3*b^3*d + a^4*b^2*e + 2*a^5*b*f)*x^4)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b + 3*sqrt(1/3)*(a*b*x + 2*(-a*b^2)^(2/3)*x^2 + (-a*b^2)^(1/3)*a)*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x)/(b*x^3 + a)) - 2*((7*b^4*c - 4*a*b^3*d + a^2*b^2*e + 2*a^3*b*f)*x^7 + (7*a*b^3*c - 4*a^2*b^2*d + a^3*b*e + 2*a^4*f)*x^4)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) + 4*((7*b^4*c - 4*a*b^3*d + a^2*b^2*e + 2*a^3*b*f)*x^7 + (7*a*b^3*c - 4*a^2*b^2*d + a^3*b*e + 2*a^4*f)*x^4)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^4*b^4*x^7 + a^5*b^3*x^4), -1/36*(9*a^3*b^3*c - 12*(7*a*b^5*c - 4*a^2*b^4*d + a^3*b^3*e - a^4*b^2*f)*x^6 - 9*(7*a^2*b^4*c - 4*a^3*b^3*d)*x^3 - 12*sqrt(1/3)*((7*a*b^5*c - 4*a^2*b^4*d + a^3*b^3*e + 2*a^4*b^2*f)*x^7 + (7*a^2*b^4*c - 4*a^3*b^3*d + a^4*b^2*e + 2*a^5*b*f)*x^4)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) - 2*((7*b^4*c - 4*a*b^3*d + a^2*b^2*e + 2*a^3*b*f)*x^7 + (7*a*b^3*c - 4*a^2*b^2*d + a^3*b*e + 2*a^4*f)*x^4)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) + 4*((7*b^4*c - 4*a*b^3*d + a^2*b^2*e + 2*a^3*b*f)*x^7 + (7*a*b^3*c - 4*a^2*b^2*d + a^3*b*e + 2*a^4*f)*x^4)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^4*b^4*x^7 + a^5*b^3*x^4)]","A",0
270,1,897,0,0.449259," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^6/(b*x^3+a)^2,x, algorithm=""fricas"")","\left[-\frac{18 \, a^{4} b^{2} c - 15 \, {\left(8 \, a^{2} b^{4} c - 5 \, a^{3} b^{3} d + 2 \, a^{4} b^{2} e - 2 \, a^{5} b f\right)} x^{6} - 9 \, {\left(8 \, a^{3} b^{3} c - 5 \, a^{4} b^{2} d\right)} x^{3} - 15 \, \sqrt{\frac{1}{3}} {\left({\left(8 \, a b^{5} c - 5 \, a^{2} b^{4} d + 2 \, a^{3} b^{3} e + a^{4} b^{2} f\right)} x^{8} + {\left(8 \, a^{2} b^{4} c - 5 \, a^{3} b^{3} d + 2 \, a^{4} b^{2} e + a^{5} b f\right)} x^{5}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) + 5 \, {\left({\left(8 \, b^{4} c - 5 \, a b^{3} d + 2 \, a^{2} b^{2} e + a^{3} b f\right)} x^{8} + {\left(8 \, a b^{3} c - 5 \, a^{2} b^{2} d + 2 \, a^{3} b e + a^{4} f\right)} x^{5}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) - 10 \, {\left({\left(8 \, b^{4} c - 5 \, a b^{3} d + 2 \, a^{2} b^{2} e + a^{3} b f\right)} x^{8} + {\left(8 \, a b^{3} c - 5 \, a^{2} b^{2} d + 2 \, a^{3} b e + a^{4} f\right)} x^{5}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{90 \, {\left(a^{5} b^{3} x^{8} + a^{6} b^{2} x^{5}\right)}}, -\frac{18 \, a^{4} b^{2} c - 15 \, {\left(8 \, a^{2} b^{4} c - 5 \, a^{3} b^{3} d + 2 \, a^{4} b^{2} e - 2 \, a^{5} b f\right)} x^{6} - 9 \, {\left(8 \, a^{3} b^{3} c - 5 \, a^{4} b^{2} d\right)} x^{3} - 30 \, \sqrt{\frac{1}{3}} {\left({\left(8 \, a b^{5} c - 5 \, a^{2} b^{4} d + 2 \, a^{3} b^{3} e + a^{4} b^{2} f\right)} x^{8} + {\left(8 \, a^{2} b^{4} c - 5 \, a^{3} b^{3} d + 2 \, a^{4} b^{2} e + a^{5} b f\right)} x^{5}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) + 5 \, {\left({\left(8 \, b^{4} c - 5 \, a b^{3} d + 2 \, a^{2} b^{2} e + a^{3} b f\right)} x^{8} + {\left(8 \, a b^{3} c - 5 \, a^{2} b^{2} d + 2 \, a^{3} b e + a^{4} f\right)} x^{5}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) - 10 \, {\left({\left(8 \, b^{4} c - 5 \, a b^{3} d + 2 \, a^{2} b^{2} e + a^{3} b f\right)} x^{8} + {\left(8 \, a b^{3} c - 5 \, a^{2} b^{2} d + 2 \, a^{3} b e + a^{4} f\right)} x^{5}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{90 \, {\left(a^{5} b^{3} x^{8} + a^{6} b^{2} x^{5}\right)}}\right]"," ",0,"[-1/90*(18*a^4*b^2*c - 15*(8*a^2*b^4*c - 5*a^3*b^3*d + 2*a^4*b^2*e - 2*a^5*b*f)*x^6 - 9*(8*a^3*b^3*c - 5*a^4*b^2*d)*x^3 - 15*sqrt(1/3)*((8*a*b^5*c - 5*a^2*b^4*d + 2*a^3*b^3*e + a^4*b^2*f)*x^8 + (8*a^2*b^4*c - 5*a^3*b^3*d + 2*a^4*b^2*e + a^5*b*f)*x^5)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x^3 - 3*(a^2*b)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^2 + (a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b))/(b*x^3 + a)) + 5*((8*b^4*c - 5*a*b^3*d + 2*a^2*b^2*e + a^3*b*f)*x^8 + (8*a*b^3*c - 5*a^2*b^2*d + 2*a^3*b*e + a^4*f)*x^5)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) - 10*((8*b^4*c - 5*a*b^3*d + 2*a^2*b^2*e + a^3*b*f)*x^8 + (8*a*b^3*c - 5*a^2*b^2*d + 2*a^3*b*e + a^4*f)*x^5)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)))/(a^5*b^3*x^8 + a^6*b^2*x^5), -1/90*(18*a^4*b^2*c - 15*(8*a^2*b^4*c - 5*a^3*b^3*d + 2*a^4*b^2*e - 2*a^5*b*f)*x^6 - 9*(8*a^3*b^3*c - 5*a^4*b^2*d)*x^3 - 30*sqrt(1/3)*((8*a*b^5*c - 5*a^2*b^4*d + 2*a^3*b^3*e + a^4*b^2*f)*x^8 + (8*a^2*b^4*c - 5*a^3*b^3*d + 2*a^4*b^2*e + a^5*b*f)*x^5)*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) + 5*((8*b^4*c - 5*a*b^3*d + 2*a^2*b^2*e + a^3*b*f)*x^8 + (8*a*b^3*c - 5*a^2*b^2*d + 2*a^3*b*e + a^4*f)*x^5)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) - 10*((8*b^4*c - 5*a*b^3*d + 2*a^2*b^2*e + a^3*b*f)*x^8 + (8*a*b^3*c - 5*a^2*b^2*d + 2*a^3*b*e + a^4*f)*x^5)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)))/(a^5*b^3*x^8 + a^6*b^2*x^5)]","A",0
271,1,982,0,0.448862," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^8/(b*x^3+a)^2,x, algorithm=""fricas"")","\left[-\frac{84 \, {\left(10 \, a b^{5} c - 7 \, a^{2} b^{4} d + 4 \, a^{3} b^{3} e - a^{4} b^{2} f\right)} x^{9} + 36 \, a^{4} b^{2} c + 63 \, {\left(10 \, a^{2} b^{4} c - 7 \, a^{3} b^{3} d + 4 \, a^{4} b^{2} e\right)} x^{6} - 9 \, {\left(10 \, a^{3} b^{3} c - 7 \, a^{4} b^{2} d\right)} x^{3} + 42 \, \sqrt{\frac{1}{3}} {\left({\left(10 \, a b^{5} c - 7 \, a^{2} b^{4} d + 4 \, a^{3} b^{3} e - a^{4} b^{2} f\right)} x^{10} + {\left(10 \, a^{2} b^{4} c - 7 \, a^{3} b^{3} d + 4 \, a^{4} b^{2} e - a^{5} b f\right)} x^{7}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + 14 \, {\left({\left(10 \, b^{4} c - 7 \, a b^{3} d + 4 \, a^{2} b^{2} e - a^{3} b f\right)} x^{10} + {\left(10 \, a b^{3} c - 7 \, a^{2} b^{2} d + 4 \, a^{3} b e - a^{4} f\right)} x^{7}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 28 \, {\left({\left(10 \, b^{4} c - 7 \, a b^{3} d + 4 \, a^{2} b^{2} e - a^{3} b f\right)} x^{10} + {\left(10 \, a b^{3} c - 7 \, a^{2} b^{2} d + 4 \, a^{3} b e - a^{4} f\right)} x^{7}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{252 \, {\left(a^{5} b^{3} x^{10} + a^{6} b^{2} x^{7}\right)}}, -\frac{84 \, {\left(10 \, a b^{5} c - 7 \, a^{2} b^{4} d + 4 \, a^{3} b^{3} e - a^{4} b^{2} f\right)} x^{9} + 36 \, a^{4} b^{2} c + 63 \, {\left(10 \, a^{2} b^{4} c - 7 \, a^{3} b^{3} d + 4 \, a^{4} b^{2} e\right)} x^{6} - 9 \, {\left(10 \, a^{3} b^{3} c - 7 \, a^{4} b^{2} d\right)} x^{3} + 84 \, \sqrt{\frac{1}{3}} {\left({\left(10 \, a b^{5} c - 7 \, a^{2} b^{4} d + 4 \, a^{3} b^{3} e - a^{4} b^{2} f\right)} x^{10} + {\left(10 \, a^{2} b^{4} c - 7 \, a^{3} b^{3} d + 4 \, a^{4} b^{2} e - a^{5} b f\right)} x^{7}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 14 \, {\left({\left(10 \, b^{4} c - 7 \, a b^{3} d + 4 \, a^{2} b^{2} e - a^{3} b f\right)} x^{10} + {\left(10 \, a b^{3} c - 7 \, a^{2} b^{2} d + 4 \, a^{3} b e - a^{4} f\right)} x^{7}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 28 \, {\left({\left(10 \, b^{4} c - 7 \, a b^{3} d + 4 \, a^{2} b^{2} e - a^{3} b f\right)} x^{10} + {\left(10 \, a b^{3} c - 7 \, a^{2} b^{2} d + 4 \, a^{3} b e - a^{4} f\right)} x^{7}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{252 \, {\left(a^{5} b^{3} x^{10} + a^{6} b^{2} x^{7}\right)}}\right]"," ",0,"[-1/252*(84*(10*a*b^5*c - 7*a^2*b^4*d + 4*a^3*b^3*e - a^4*b^2*f)*x^9 + 36*a^4*b^2*c + 63*(10*a^2*b^4*c - 7*a^3*b^3*d + 4*a^4*b^2*e)*x^6 - 9*(10*a^3*b^3*c - 7*a^4*b^2*d)*x^3 + 42*sqrt(1/3)*((10*a*b^5*c - 7*a^2*b^4*d + 4*a^3*b^3*e - a^4*b^2*f)*x^10 + (10*a^2*b^4*c - 7*a^3*b^3*d + 4*a^4*b^2*e - a^5*b*f)*x^7)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b + 3*sqrt(1/3)*(a*b*x + 2*(-a*b^2)^(2/3)*x^2 + (-a*b^2)^(1/3)*a)*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x)/(b*x^3 + a)) + 14*((10*b^4*c - 7*a*b^3*d + 4*a^2*b^2*e - a^3*b*f)*x^10 + (10*a*b^3*c - 7*a^2*b^2*d + 4*a^3*b*e - a^4*f)*x^7)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 28*((10*b^4*c - 7*a*b^3*d + 4*a^2*b^2*e - a^3*b*f)*x^10 + (10*a*b^3*c - 7*a^2*b^2*d + 4*a^3*b*e - a^4*f)*x^7)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^5*b^3*x^10 + a^6*b^2*x^7), -1/252*(84*(10*a*b^5*c - 7*a^2*b^4*d + 4*a^3*b^3*e - a^4*b^2*f)*x^9 + 36*a^4*b^2*c + 63*(10*a^2*b^4*c - 7*a^3*b^3*d + 4*a^4*b^2*e)*x^6 - 9*(10*a^3*b^3*c - 7*a^4*b^2*d)*x^3 + 84*sqrt(1/3)*((10*a*b^5*c - 7*a^2*b^4*d + 4*a^3*b^3*e - a^4*b^2*f)*x^10 + (10*a^2*b^4*c - 7*a^3*b^3*d + 4*a^4*b^2*e - a^5*b*f)*x^7)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + 14*((10*b^4*c - 7*a*b^3*d + 4*a^2*b^2*e - a^3*b*f)*x^10 + (10*a*b^3*c - 7*a^2*b^2*d + 4*a^3*b*e - a^4*f)*x^7)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 28*((10*b^4*c - 7*a*b^3*d + 4*a^2*b^2*e - a^3*b*f)*x^10 + (10*a*b^3*c - 7*a^2*b^2*d + 4*a^3*b*e - a^4*f)*x^7)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^5*b^3*x^10 + a^6*b^2*x^7)]","A",0
272,1,959,0,0.443607," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^9/(b*x^3+a)^2,x, algorithm=""fricas"")","\left[-\frac{60 \, {\left(11 \, a^{2} b^{4} c - 8 \, a^{3} b^{3} d + 5 \, a^{4} b^{2} e - 2 \, a^{5} b f\right)} x^{9} + 45 \, a^{5} b c + 36 \, {\left(11 \, a^{3} b^{3} c - 8 \, a^{4} b^{2} d + 5 \, a^{5} b e\right)} x^{6} - 9 \, {\left(11 \, a^{4} b^{2} c - 8 \, a^{5} b d\right)} x^{3} + 60 \, \sqrt{\frac{1}{3}} {\left({\left(11 \, a b^{5} c - 8 \, a^{2} b^{4} d + 5 \, a^{3} b^{3} e - 2 \, a^{4} b^{2} f\right)} x^{11} + {\left(11 \, a^{2} b^{4} c - 8 \, a^{3} b^{3} d + 5 \, a^{4} b^{2} e - 2 \, a^{5} b f\right)} x^{8}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - 20 \, {\left({\left(11 \, b^{4} c - 8 \, a b^{3} d + 5 \, a^{2} b^{2} e - 2 \, a^{3} b f\right)} x^{11} + {\left(11 \, a b^{3} c - 8 \, a^{2} b^{2} d + 5 \, a^{3} b e - 2 \, a^{4} f\right)} x^{8}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 40 \, {\left({\left(11 \, b^{4} c - 8 \, a b^{3} d + 5 \, a^{2} b^{2} e - 2 \, a^{3} b f\right)} x^{11} + {\left(11 \, a b^{3} c - 8 \, a^{2} b^{2} d + 5 \, a^{3} b e - 2 \, a^{4} f\right)} x^{8}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{360 \, {\left(a^{6} b^{2} x^{11} + a^{7} b x^{8}\right)}}, -\frac{60 \, {\left(11 \, a^{2} b^{4} c - 8 \, a^{3} b^{3} d + 5 \, a^{4} b^{2} e - 2 \, a^{5} b f\right)} x^{9} + 45 \, a^{5} b c + 36 \, {\left(11 \, a^{3} b^{3} c - 8 \, a^{4} b^{2} d + 5 \, a^{5} b e\right)} x^{6} - 9 \, {\left(11 \, a^{4} b^{2} c - 8 \, a^{5} b d\right)} x^{3} + 120 \, \sqrt{\frac{1}{3}} {\left({\left(11 \, a b^{5} c - 8 \, a^{2} b^{4} d + 5 \, a^{3} b^{3} e - 2 \, a^{4} b^{2} f\right)} x^{11} + {\left(11 \, a^{2} b^{4} c - 8 \, a^{3} b^{3} d + 5 \, a^{4} b^{2} e - 2 \, a^{5} b f\right)} x^{8}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 20 \, {\left({\left(11 \, b^{4} c - 8 \, a b^{3} d + 5 \, a^{2} b^{2} e - 2 \, a^{3} b f\right)} x^{11} + {\left(11 \, a b^{3} c - 8 \, a^{2} b^{2} d + 5 \, a^{3} b e - 2 \, a^{4} f\right)} x^{8}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 40 \, {\left({\left(11 \, b^{4} c - 8 \, a b^{3} d + 5 \, a^{2} b^{2} e - 2 \, a^{3} b f\right)} x^{11} + {\left(11 \, a b^{3} c - 8 \, a^{2} b^{2} d + 5 \, a^{3} b e - 2 \, a^{4} f\right)} x^{8}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{360 \, {\left(a^{6} b^{2} x^{11} + a^{7} b x^{8}\right)}}\right]"," ",0,"[-1/360*(60*(11*a^2*b^4*c - 8*a^3*b^3*d + 5*a^4*b^2*e - 2*a^5*b*f)*x^9 + 45*a^5*b*c + 36*(11*a^3*b^3*c - 8*a^4*b^2*d + 5*a^5*b*e)*x^6 - 9*(11*a^4*b^2*c - 8*a^5*b*d)*x^3 + 60*sqrt(1/3)*((11*a*b^5*c - 8*a^2*b^4*d + 5*a^3*b^3*e - 2*a^4*b^2*f)*x^11 + (11*a^2*b^4*c - 8*a^3*b^3*d + 5*a^4*b^2*e - 2*a^5*b*f)*x^8)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x^3 - 3*(a^2*b)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^2 + (a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b))/(b*x^3 + a)) - 20*((11*b^4*c - 8*a*b^3*d + 5*a^2*b^2*e - 2*a^3*b*f)*x^11 + (11*a*b^3*c - 8*a^2*b^2*d + 5*a^3*b*e - 2*a^4*f)*x^8)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 40*((11*b^4*c - 8*a*b^3*d + 5*a^2*b^2*e - 2*a^3*b*f)*x^11 + (11*a*b^3*c - 8*a^2*b^2*d + 5*a^3*b*e - 2*a^4*f)*x^8)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)))/(a^6*b^2*x^11 + a^7*b*x^8), -1/360*(60*(11*a^2*b^4*c - 8*a^3*b^3*d + 5*a^4*b^2*e - 2*a^5*b*f)*x^9 + 45*a^5*b*c + 36*(11*a^3*b^3*c - 8*a^4*b^2*d + 5*a^5*b*e)*x^6 - 9*(11*a^4*b^2*c - 8*a^5*b*d)*x^3 + 120*sqrt(1/3)*((11*a*b^5*c - 8*a^2*b^4*d + 5*a^3*b^3*e - 2*a^4*b^2*f)*x^11 + (11*a^2*b^4*c - 8*a^3*b^3*d + 5*a^4*b^2*e - 2*a^5*b*f)*x^8)*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) - 20*((11*b^4*c - 8*a*b^3*d + 5*a^2*b^2*e - 2*a^3*b*f)*x^11 + (11*a*b^3*c - 8*a^2*b^2*d + 5*a^3*b*e - 2*a^4*f)*x^8)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 40*((11*b^4*c - 8*a*b^3*d + 5*a^2*b^2*e - 2*a^3*b*f)*x^11 + (11*a*b^3*c - 8*a^2*b^2*d + 5*a^3*b*e - 2*a^4*f)*x^8)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)))/(a^6*b^2*x^11 + a^7*b*x^8)]","A",0
273,1,442,0,0.421502," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^11/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{420 \, {\left(13 \, b^{4} c - 10 \, a b^{3} d + 7 \, a^{2} b^{2} e - 4 \, a^{3} b f\right)} x^{12} + 315 \, {\left(13 \, a b^{3} c - 10 \, a^{2} b^{2} d + 7 \, a^{3} b e - 4 \, a^{4} f\right)} x^{9} - 45 \, {\left(13 \, a^{2} b^{2} c - 10 \, a^{3} b d + 7 \, a^{4} e\right)} x^{6} - 126 \, a^{4} c + 18 \, {\left(13 \, a^{3} b c - 10 \, a^{4} d\right)} x^{3} + 140 \, \sqrt{3} {\left({\left(13 \, b^{4} c - 10 \, a b^{3} d + 7 \, a^{2} b^{2} e - 4 \, a^{3} b f\right)} x^{13} + {\left(13 \, a b^{3} c - 10 \, a^{2} b^{2} d + 7 \, a^{3} b e - 4 \, a^{4} f\right)} x^{10}\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + 70 \, {\left({\left(13 \, b^{4} c - 10 \, a b^{3} d + 7 \, a^{2} b^{2} e - 4 \, a^{3} b f\right)} x^{13} + {\left(13 \, a b^{3} c - 10 \, a^{2} b^{2} d + 7 \, a^{3} b e - 4 \, a^{4} f\right)} x^{10}\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x^{2} - a x \left(\frac{b}{a}\right)^{\frac{2}{3}} + a \left(\frac{b}{a}\right)^{\frac{1}{3}}\right) - 140 \, {\left({\left(13 \, b^{4} c - 10 \, a b^{3} d + 7 \, a^{2} b^{2} e - 4 \, a^{3} b f\right)} x^{13} + {\left(13 \, a b^{3} c - 10 \, a^{2} b^{2} d + 7 \, a^{3} b e - 4 \, a^{4} f\right)} x^{10}\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x + a \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{1260 \, {\left(a^{5} b x^{13} + a^{6} x^{10}\right)}}"," ",0,"1/1260*(420*(13*b^4*c - 10*a*b^3*d + 7*a^2*b^2*e - 4*a^3*b*f)*x^12 + 315*(13*a*b^3*c - 10*a^2*b^2*d + 7*a^3*b*e - 4*a^4*f)*x^9 - 45*(13*a^2*b^2*c - 10*a^3*b*d + 7*a^4*e)*x^6 - 126*a^4*c + 18*(13*a^3*b*c - 10*a^4*d)*x^3 + 140*sqrt(3)*((13*b^4*c - 10*a*b^3*d + 7*a^2*b^2*e - 4*a^3*b*f)*x^13 + (13*a*b^3*c - 10*a^2*b^2*d + 7*a^3*b*e - 4*a^4*f)*x^10)*(b/a)^(1/3)*arctan(2/3*sqrt(3)*x*(b/a)^(1/3) - 1/3*sqrt(3)) + 70*((13*b^4*c - 10*a*b^3*d + 7*a^2*b^2*e - 4*a^3*b*f)*x^13 + (13*a*b^3*c - 10*a^2*b^2*d + 7*a^3*b*e - 4*a^4*f)*x^10)*(b/a)^(1/3)*log(b*x^2 - a*x*(b/a)^(2/3) + a*(b/a)^(1/3)) - 140*((13*b^4*c - 10*a*b^3*d + 7*a^2*b^2*e - 4*a^3*b*f)*x^13 + (13*a*b^3*c - 10*a^2*b^2*d + 7*a^3*b*e - 4*a^4*f)*x^10)*(b/a)^(1/3)*log(b*x + a*(b/a)^(2/3)))/(a^5*b*x^13 + a^6*x^10)","A",0
274,1,475,0,0.429857," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^12/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{660 \, {\left(14 \, b^{4} c - 11 \, a b^{3} d + 8 \, a^{2} b^{2} e - 5 \, a^{3} b f\right)} x^{12} + 396 \, {\left(14 \, a b^{3} c - 11 \, a^{2} b^{2} d + 8 \, a^{3} b e - 5 \, a^{4} f\right)} x^{9} - 99 \, {\left(14 \, a^{2} b^{2} c - 11 \, a^{3} b d + 8 \, a^{4} e\right)} x^{6} - 360 \, a^{4} c + 45 \, {\left(14 \, a^{3} b c - 11 \, a^{4} d\right)} x^{3} - 440 \, \sqrt{3} {\left({\left(14 \, b^{4} c - 11 \, a b^{3} d + 8 \, a^{2} b^{2} e - 5 \, a^{3} b f\right)} x^{14} + {\left(14 \, a b^{3} c - 11 \, a^{2} b^{2} d + 8 \, a^{3} b e - 5 \, a^{4} f\right)} x^{11}\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} a x \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}} - \sqrt{3} b}{3 \, b}\right) + 220 \, {\left({\left(14 \, b^{4} c - 11 \, a b^{3} d + 8 \, a^{2} b^{2} e - 5 \, a^{3} b f\right)} x^{14} + {\left(14 \, a b^{3} c - 11 \, a^{2} b^{2} d + 8 \, a^{3} b e - 5 \, a^{4} f\right)} x^{11}\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b^{2} x^{2} + a b x \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} + a^{2} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}}\right) - 440 \, {\left({\left(14 \, b^{4} c - 11 \, a b^{3} d + 8 \, a^{2} b^{2} e - 5 \, a^{3} b f\right)} x^{14} + {\left(14 \, a b^{3} c - 11 \, a^{2} b^{2} d + 8 \, a^{3} b e - 5 \, a^{4} f\right)} x^{11}\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b x - a \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}}\right)}{3960 \, {\left(a^{5} b x^{14} + a^{6} x^{11}\right)}}"," ",0,"1/3960*(660*(14*b^4*c - 11*a*b^3*d + 8*a^2*b^2*e - 5*a^3*b*f)*x^12 + 396*(14*a*b^3*c - 11*a^2*b^2*d + 8*a^3*b*e - 5*a^4*f)*x^9 - 99*(14*a^2*b^2*c - 11*a^3*b*d + 8*a^4*e)*x^6 - 360*a^4*c + 45*(14*a^3*b*c - 11*a^4*d)*x^3 - 440*sqrt(3)*((14*b^4*c - 11*a*b^3*d + 8*a^2*b^2*e - 5*a^3*b*f)*x^14 + (14*a*b^3*c - 11*a^2*b^2*d + 8*a^3*b*e - 5*a^4*f)*x^11)*(-b^2/a^2)^(1/3)*arctan(1/3*(2*sqrt(3)*a*x*(-b^2/a^2)^(2/3) - sqrt(3)*b)/b) + 220*((14*b^4*c - 11*a*b^3*d + 8*a^2*b^2*e - 5*a^3*b*f)*x^14 + (14*a*b^3*c - 11*a^2*b^2*d + 8*a^3*b*e - 5*a^4*f)*x^11)*(-b^2/a^2)^(1/3)*log(b^2*x^2 + a*b*x*(-b^2/a^2)^(1/3) + a^2*(-b^2/a^2)^(2/3)) - 440*((14*b^4*c - 11*a*b^3*d + 8*a^2*b^2*e - 5*a^3*b*f)*x^14 + (14*a*b^3*c - 11*a^2*b^2*d + 8*a^3*b*e - 5*a^4*f)*x^11)*(-b^2/a^2)^(1/3)*log(b*x - a*(-b^2/a^2)^(1/3)))/(a^5*b*x^14 + a^6*x^11)","A",0
275,1,507,0,0.420293," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^14/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{5460 \, {\left(16 \, b^{5} c - 13 \, a b^{4} d + 10 \, a^{2} b^{3} e - 7 \, a^{3} b^{2} f\right)} x^{15} + 4095 \, {\left(16 \, a b^{4} c - 13 \, a^{2} b^{3} d + 10 \, a^{3} b^{2} e - 7 \, a^{4} b f\right)} x^{12} - 585 \, {\left(16 \, a^{2} b^{3} c - 13 \, a^{3} b^{2} d + 10 \, a^{4} b e - 7 \, a^{5} f\right)} x^{9} + 234 \, {\left(16 \, a^{3} b^{2} c - 13 \, a^{4} b d + 10 \, a^{5} e\right)} x^{6} + 1260 \, a^{5} c - 126 \, {\left(16 \, a^{4} b c - 13 \, a^{5} d\right)} x^{3} + 1820 \, \sqrt{3} {\left({\left(16 \, b^{5} c - 13 \, a b^{4} d + 10 \, a^{2} b^{3} e - 7 \, a^{3} b^{2} f\right)} x^{16} + {\left(16 \, a b^{4} c - 13 \, a^{2} b^{3} d + 10 \, a^{3} b^{2} e - 7 \, a^{4} b f\right)} x^{13}\right)} \left(-\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} x \left(-\frac{b}{a}\right)^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - 910 \, {\left({\left(16 \, b^{5} c - 13 \, a b^{4} d + 10 \, a^{2} b^{3} e - 7 \, a^{3} b^{2} f\right)} x^{16} + {\left(16 \, a b^{4} c - 13 \, a^{2} b^{3} d + 10 \, a^{3} b^{2} e - 7 \, a^{4} b f\right)} x^{13}\right)} \left(-\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x^{2} - a x \left(-\frac{b}{a}\right)^{\frac{2}{3}} - a \left(-\frac{b}{a}\right)^{\frac{1}{3}}\right) + 1820 \, {\left({\left(16 \, b^{5} c - 13 \, a b^{4} d + 10 \, a^{2} b^{3} e - 7 \, a^{3} b^{2} f\right)} x^{16} + {\left(16 \, a b^{4} c - 13 \, a^{2} b^{3} d + 10 \, a^{3} b^{2} e - 7 \, a^{4} b f\right)} x^{13}\right)} \left(-\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x + a \left(-\frac{b}{a}\right)^{\frac{2}{3}}\right)}{16380 \, {\left(a^{6} b x^{16} + a^{7} x^{13}\right)}}"," ",0,"-1/16380*(5460*(16*b^5*c - 13*a*b^4*d + 10*a^2*b^3*e - 7*a^3*b^2*f)*x^15 + 4095*(16*a*b^4*c - 13*a^2*b^3*d + 10*a^3*b^2*e - 7*a^4*b*f)*x^12 - 585*(16*a^2*b^3*c - 13*a^3*b^2*d + 10*a^4*b*e - 7*a^5*f)*x^9 + 234*(16*a^3*b^2*c - 13*a^4*b*d + 10*a^5*e)*x^6 + 1260*a^5*c - 126*(16*a^4*b*c - 13*a^5*d)*x^3 + 1820*sqrt(3)*((16*b^5*c - 13*a*b^4*d + 10*a^2*b^3*e - 7*a^3*b^2*f)*x^16 + (16*a*b^4*c - 13*a^2*b^3*d + 10*a^3*b^2*e - 7*a^4*b*f)*x^13)*(-b/a)^(1/3)*arctan(2/3*sqrt(3)*x*(-b/a)^(1/3) + 1/3*sqrt(3)) - 910*((16*b^5*c - 13*a*b^4*d + 10*a^2*b^3*e - 7*a^3*b^2*f)*x^16 + (16*a*b^4*c - 13*a^2*b^3*d + 10*a^3*b^2*e - 7*a^4*b*f)*x^13)*(-b/a)^(1/3)*log(b*x^2 - a*x*(-b/a)^(2/3) - a*(-b/a)^(1/3)) + 1820*((16*b^5*c - 13*a*b^4*d + 10*a^2*b^3*e - 7*a^3*b^2*f)*x^16 + (16*a*b^4*c - 13*a^2*b^3*d + 10*a^3*b^2*e - 7*a^4*b*f)*x^13)*(-b/a)^(1/3)*log(b*x + a*(-b/a)^(2/3)))/(a^6*b*x^16 + a^7*x^13)","A",0
276,1,396,0,0.390719," ","integrate(x^14*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{12 \, b^{7} f x^{21} + 3 \, {\left(5 \, b^{7} e - 7 \, a b^{6} f\right)} x^{18} + 2 \, {\left(10 \, b^{7} d - 15 \, a b^{6} e + 21 \, a^{2} b^{5} f\right)} x^{15} + 5 \, {\left(6 \, b^{7} c - 10 \, a b^{6} d + 15 \, a^{2} b^{5} e - 21 \, a^{3} b^{4} f\right)} x^{12} - 20 \, {\left(6 \, a b^{6} c - 10 \, a^{2} b^{5} d + 15 \, a^{3} b^{4} e - 21 \, a^{4} b^{3} f\right)} x^{9} + 210 \, a^{4} b^{3} c - 270 \, a^{5} b^{2} d + 330 \, a^{6} b e - 390 \, a^{7} f - 30 \, {\left(11 \, a^{2} b^{5} c - 21 \, a^{3} b^{4} d + 34 \, a^{4} b^{3} e - 50 \, a^{5} b^{2} f\right)} x^{6} + 60 \, {\left(a^{3} b^{4} c + a^{4} b^{3} d - 4 \, a^{5} b^{2} e + 8 \, a^{6} b f\right)} x^{3} + 60 \, {\left(6 \, a^{4} b^{3} c - 10 \, a^{5} b^{2} d + 15 \, a^{6} b e - 21 \, a^{7} f + {\left(6 \, a^{2} b^{5} c - 10 \, a^{3} b^{4} d + 15 \, a^{4} b^{3} e - 21 \, a^{5} b^{2} f\right)} x^{6} + 2 \, {\left(6 \, a^{3} b^{4} c - 10 \, a^{4} b^{3} d + 15 \, a^{5} b^{2} e - 21 \, a^{6} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right)}{180 \, {\left(b^{10} x^{6} + 2 \, a b^{9} x^{3} + a^{2} b^{8}\right)}}"," ",0,"1/180*(12*b^7*f*x^21 + 3*(5*b^7*e - 7*a*b^6*f)*x^18 + 2*(10*b^7*d - 15*a*b^6*e + 21*a^2*b^5*f)*x^15 + 5*(6*b^7*c - 10*a*b^6*d + 15*a^2*b^5*e - 21*a^3*b^4*f)*x^12 - 20*(6*a*b^6*c - 10*a^2*b^5*d + 15*a^3*b^4*e - 21*a^4*b^3*f)*x^9 + 210*a^4*b^3*c - 270*a^5*b^2*d + 330*a^6*b*e - 390*a^7*f - 30*(11*a^2*b^5*c - 21*a^3*b^4*d + 34*a^4*b^3*e - 50*a^5*b^2*f)*x^6 + 60*(a^3*b^4*c + a^4*b^3*d - 4*a^5*b^2*e + 8*a^6*b*f)*x^3 + 60*(6*a^4*b^3*c - 10*a^5*b^2*d + 15*a^6*b*e - 21*a^7*f + (6*a^2*b^5*c - 10*a^3*b^4*d + 15*a^4*b^3*e - 21*a^5*b^2*f)*x^6 + 2*(6*a^3*b^4*c - 10*a^4*b^3*d + 15*a^5*b^2*e - 21*a^6*b*f)*x^3)*log(b*x^3 + a))/(b^10*x^6 + 2*a*b^9*x^3 + a^2*b^8)","A",0
277,1,353,0,0.398197," ","integrate(x^11*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{3 \, b^{6} f x^{18} + 2 \, {\left(2 \, b^{6} e - 3 \, a b^{5} f\right)} x^{15} + {\left(6 \, b^{6} d - 10 \, a b^{5} e + 15 \, a^{2} b^{4} f\right)} x^{12} + 4 \, {\left(3 \, b^{6} c - 6 \, a b^{5} d + 10 \, a^{2} b^{4} e - 15 \, a^{3} b^{3} f\right)} x^{9} - 30 \, a^{3} b^{3} c + 42 \, a^{4} b^{2} d - 54 \, a^{5} b e + 66 \, a^{6} f + 6 \, {\left(4 \, a b^{5} c - 11 \, a^{2} b^{4} d + 21 \, a^{3} b^{3} e - 34 \, a^{4} b^{2} f\right)} x^{6} - 12 \, {\left(2 \, a^{2} b^{4} c - a^{3} b^{3} d - a^{4} b^{2} e + 4 \, a^{5} b f\right)} x^{3} - 12 \, {\left(3 \, a^{3} b^{3} c - 6 \, a^{4} b^{2} d + 10 \, a^{5} b e - 15 \, a^{6} f + {\left(3 \, a b^{5} c - 6 \, a^{2} b^{4} d + 10 \, a^{3} b^{3} e - 15 \, a^{4} b^{2} f\right)} x^{6} + 2 \, {\left(3 \, a^{2} b^{4} c - 6 \, a^{3} b^{3} d + 10 \, a^{4} b^{2} e - 15 \, a^{5} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right)}{36 \, {\left(b^{9} x^{6} + 2 \, a b^{8} x^{3} + a^{2} b^{7}\right)}}"," ",0,"1/36*(3*b^6*f*x^18 + 2*(2*b^6*e - 3*a*b^5*f)*x^15 + (6*b^6*d - 10*a*b^5*e + 15*a^2*b^4*f)*x^12 + 4*(3*b^6*c - 6*a*b^5*d + 10*a^2*b^4*e - 15*a^3*b^3*f)*x^9 - 30*a^3*b^3*c + 42*a^4*b^2*d - 54*a^5*b*e + 66*a^6*f + 6*(4*a*b^5*c - 11*a^2*b^4*d + 21*a^3*b^3*e - 34*a^4*b^2*f)*x^6 - 12*(2*a^2*b^4*c - a^3*b^3*d - a^4*b^2*e + 4*a^5*b*f)*x^3 - 12*(3*a^3*b^3*c - 6*a^4*b^2*d + 10*a^5*b*e - 15*a^6*f + (3*a*b^5*c - 6*a^2*b^4*d + 10*a^3*b^3*e - 15*a^4*b^2*f)*x^6 + 2*(3*a^2*b^4*c - 6*a^3*b^3*d + 10*a^4*b^2*e - 15*a^5*b*f)*x^3)*log(b*x^3 + a))/(b^9*x^6 + 2*a*b^8*x^3 + a^2*b^7)","A",0
278,1,295,0,0.398041," ","integrate(x^8*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{2 \, b^{5} f x^{15} + {\left(3 \, b^{5} e - 5 \, a b^{4} f\right)} x^{12} + 2 \, {\left(3 \, b^{5} d - 6 \, a b^{4} e + 10 \, a^{2} b^{3} f\right)} x^{9} + 3 \, {\left(4 \, a b^{4} d - 11 \, a^{2} b^{3} e + 21 \, a^{3} b^{2} f\right)} x^{6} + 9 \, a^{2} b^{3} c - 15 \, a^{3} b^{2} d + 21 \, a^{4} b e - 27 \, a^{5} f + 6 \, {\left(2 \, a b^{4} c - 2 \, a^{2} b^{3} d + a^{3} b^{2} e + a^{4} b f\right)} x^{3} + 6 \, {\left({\left(b^{5} c - 3 \, a b^{4} d + 6 \, a^{2} b^{3} e - 10 \, a^{3} b^{2} f\right)} x^{6} + a^{2} b^{3} c - 3 \, a^{3} b^{2} d + 6 \, a^{4} b e - 10 \, a^{5} f + 2 \, {\left(a b^{4} c - 3 \, a^{2} b^{3} d + 6 \, a^{3} b^{2} e - 10 \, a^{4} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right)}{18 \, {\left(b^{8} x^{6} + 2 \, a b^{7} x^{3} + a^{2} b^{6}\right)}}"," ",0,"1/18*(2*b^5*f*x^15 + (3*b^5*e - 5*a*b^4*f)*x^12 + 2*(3*b^5*d - 6*a*b^4*e + 10*a^2*b^3*f)*x^9 + 3*(4*a*b^4*d - 11*a^2*b^3*e + 21*a^3*b^2*f)*x^6 + 9*a^2*b^3*c - 15*a^3*b^2*d + 21*a^4*b*e - 27*a^5*f + 6*(2*a*b^4*c - 2*a^2*b^3*d + a^3*b^2*e + a^4*b*f)*x^3 + 6*((b^5*c - 3*a*b^4*d + 6*a^2*b^3*e - 10*a^3*b^2*f)*x^6 + a^2*b^3*c - 3*a^3*b^2*d + 6*a^4*b*e - 10*a^5*f + 2*(a*b^4*c - 3*a^2*b^3*d + 6*a^3*b^2*e - 10*a^4*b*f)*x^3)*log(b*x^3 + a))/(b^8*x^6 + 2*a*b^7*x^3 + a^2*b^6)","A",0
279,1,225,0,0.405209," ","integrate(x^5*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{b^{4} f x^{12} + 2 \, {\left(b^{4} e - 2 \, a b^{3} f\right)} x^{9} + {\left(4 \, a b^{3} e - 11 \, a^{2} b^{2} f\right)} x^{6} - a b^{3} c + 3 \, a^{2} b^{2} d - 5 \, a^{3} b e + 7 \, a^{4} f - 2 \, {\left(b^{4} c - 2 \, a b^{3} d + 2 \, a^{2} b^{2} e - a^{3} b f\right)} x^{3} + 2 \, {\left({\left(b^{4} d - 3 \, a b^{3} e + 6 \, a^{2} b^{2} f\right)} x^{6} + a^{2} b^{2} d - 3 \, a^{3} b e + 6 \, a^{4} f + 2 \, {\left(a b^{3} d - 3 \, a^{2} b^{2} e + 6 \, a^{3} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right)}{6 \, {\left(b^{7} x^{6} + 2 \, a b^{6} x^{3} + a^{2} b^{5}\right)}}"," ",0,"1/6*(b^4*f*x^12 + 2*(b^4*e - 2*a*b^3*f)*x^9 + (4*a*b^3*e - 11*a^2*b^2*f)*x^6 - a*b^3*c + 3*a^2*b^2*d - 5*a^3*b*e + 7*a^4*f - 2*(b^4*c - 2*a*b^3*d + 2*a^2*b^2*e - a^3*b*f)*x^3 + 2*((b^4*d - 3*a*b^3*e + 6*a^2*b^2*f)*x^6 + a^2*b^2*d - 3*a^3*b*e + 6*a^4*f + 2*(a*b^3*d - 3*a^2*b^2*e + 6*a^3*b*f)*x^3)*log(b*x^3 + a))/(b^7*x^6 + 2*a*b^6*x^3 + a^2*b^5)","A",0
280,1,158,0,0.395600," ","integrate(x^2*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{2 \, b^{3} f x^{9} + 4 \, a b^{2} f x^{6} - b^{3} c - a b^{2} d + 3 \, a^{2} b e - 5 \, a^{3} f - 2 \, {\left(b^{3} d - 2 \, a b^{2} e + 2 \, a^{2} b f\right)} x^{3} + 2 \, {\left({\left(b^{3} e - 3 \, a b^{2} f\right)} x^{6} + a^{2} b e - 3 \, a^{3} f + 2 \, {\left(a b^{2} e - 3 \, a^{2} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right)}{6 \, {\left(b^{6} x^{6} + 2 \, a b^{5} x^{3} + a^{2} b^{4}\right)}}"," ",0,"1/6*(2*b^3*f*x^9 + 4*a*b^2*f*x^6 - b^3*c - a*b^2*d + 3*a^2*b*e - 5*a^3*f - 2*(b^3*d - 2*a*b^2*e + 2*a^2*b*f)*x^3 + 2*((b^3*e - 3*a*b^2*f)*x^6 + a^2*b*e - 3*a^3*f + 2*(a*b^2*e - 3*a^2*b*f)*x^3)*log(b*x^3 + a))/(b^6*x^6 + 2*a*b^5*x^3 + a^2*b^4)","A",0
281,1,187,0,0.435358," ","integrate((f*x^9+e*x^6+d*x^3+c)/x/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{3 \, a^{2} b^{3} c - a^{3} b^{2} d - a^{4} b e + 3 \, a^{5} f + 2 \, {\left(a b^{4} c - a^{3} b^{2} e + 2 \, a^{4} b f\right)} x^{3} - 2 \, {\left({\left(b^{5} c - a^{3} b^{2} f\right)} x^{6} + a^{2} b^{3} c - a^{5} f + 2 \, {\left(a b^{4} c - a^{4} b f\right)} x^{3}\right)} \log\left(b x^{3} + a\right) + 6 \, {\left(b^{5} c x^{6} + 2 \, a b^{4} c x^{3} + a^{2} b^{3} c\right)} \log\left(x\right)}{6 \, {\left(a^{3} b^{5} x^{6} + 2 \, a^{4} b^{4} x^{3} + a^{5} b^{3}\right)}}"," ",0,"1/6*(3*a^2*b^3*c - a^3*b^2*d - a^4*b*e + 3*a^5*f + 2*(a*b^4*c - a^3*b^2*e + 2*a^4*b*f)*x^3 - 2*((b^5*c - a^3*b^2*f)*x^6 + a^2*b^3*c - a^5*f + 2*(a*b^4*c - a^4*b*f)*x^3)*log(b*x^3 + a) + 6*(b^5*c*x^6 + 2*a*b^4*c*x^3 + a^2*b^3*c)*log(x))/(a^3*b^5*x^6 + 2*a^4*b^4*x^3 + a^5*b^3)","A",0
282,1,250,0,0.425426," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^4/(b*x^3+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, a b^{4} c - a^{2} b^{3} d + a^{4} b f\right)} x^{6} + 2 \, a^{3} b^{2} c + {\left(9 \, a^{2} b^{3} c - 3 \, a^{3} b^{2} d + a^{4} b e + a^{5} f\right)} x^{3} - 2 \, {\left({\left(3 \, b^{5} c - a b^{4} d\right)} x^{9} + 2 \, {\left(3 \, a b^{4} c - a^{2} b^{3} d\right)} x^{6} + {\left(3 \, a^{2} b^{3} c - a^{3} b^{2} d\right)} x^{3}\right)} \log\left(b x^{3} + a\right) + 6 \, {\left({\left(3 \, b^{5} c - a b^{4} d\right)} x^{9} + 2 \, {\left(3 \, a b^{4} c - a^{2} b^{3} d\right)} x^{6} + {\left(3 \, a^{2} b^{3} c - a^{3} b^{2} d\right)} x^{3}\right)} \log\left(x\right)}{6 \, {\left(a^{4} b^{4} x^{9} + 2 \, a^{5} b^{3} x^{6} + a^{6} b^{2} x^{3}\right)}}"," ",0,"-1/6*(2*(3*a*b^4*c - a^2*b^3*d + a^4*b*f)*x^6 + 2*a^3*b^2*c + (9*a^2*b^3*c - 3*a^3*b^2*d + a^4*b*e + a^5*f)*x^3 - 2*((3*b^5*c - a*b^4*d)*x^9 + 2*(3*a*b^4*c - a^2*b^3*d)*x^6 + (3*a^2*b^3*c - a^3*b^2*d)*x^3)*log(b*x^3 + a) + 6*((3*b^5*c - a*b^4*d)*x^9 + 2*(3*a*b^4*c - a^2*b^3*d)*x^6 + (3*a^2*b^3*c - a^3*b^2*d)*x^3)*log(x))/(a^4*b^4*x^9 + 2*a^5*b^3*x^6 + a^6*b^2*x^3)","A",0
283,1,316,0,0.427711," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^7/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{2 \, {\left(6 \, a b^{4} c - 3 \, a^{2} b^{3} d + a^{3} b^{2} e\right)} x^{9} + {\left(18 \, a^{2} b^{3} c - 9 \, a^{3} b^{2} d + 3 \, a^{4} b e - a^{5} f\right)} x^{6} - a^{4} b c + 2 \, {\left(2 \, a^{3} b^{2} c - a^{4} b d\right)} x^{3} - 2 \, {\left({\left(6 \, b^{5} c - 3 \, a b^{4} d + a^{2} b^{3} e\right)} x^{12} + 2 \, {\left(6 \, a b^{4} c - 3 \, a^{2} b^{3} d + a^{3} b^{2} e\right)} x^{9} + {\left(6 \, a^{2} b^{3} c - 3 \, a^{3} b^{2} d + a^{4} b e\right)} x^{6}\right)} \log\left(b x^{3} + a\right) + 6 \, {\left({\left(6 \, b^{5} c - 3 \, a b^{4} d + a^{2} b^{3} e\right)} x^{12} + 2 \, {\left(6 \, a b^{4} c - 3 \, a^{2} b^{3} d + a^{3} b^{2} e\right)} x^{9} + {\left(6 \, a^{2} b^{3} c - 3 \, a^{3} b^{2} d + a^{4} b e\right)} x^{6}\right)} \log\left(x\right)}{6 \, {\left(a^{5} b^{3} x^{12} + 2 \, a^{6} b^{2} x^{9} + a^{7} b x^{6}\right)}}"," ",0,"1/6*(2*(6*a*b^4*c - 3*a^2*b^3*d + a^3*b^2*e)*x^9 + (18*a^2*b^3*c - 9*a^3*b^2*d + 3*a^4*b*e - a^5*f)*x^6 - a^4*b*c + 2*(2*a^3*b^2*c - a^4*b*d)*x^3 - 2*((6*b^5*c - 3*a*b^4*d + a^2*b^3*e)*x^12 + 2*(6*a*b^4*c - 3*a^2*b^3*d + a^3*b^2*e)*x^9 + (6*a^2*b^3*c - 3*a^3*b^2*d + a^4*b*e)*x^6)*log(b*x^3 + a) + 6*((6*b^5*c - 3*a*b^4*d + a^2*b^3*e)*x^12 + 2*(6*a*b^4*c - 3*a^2*b^3*d + a^3*b^2*e)*x^9 + (6*a^2*b^3*c - 3*a^3*b^2*d + a^4*b*e)*x^6)*log(x))/(a^5*b^3*x^12 + 2*a^6*b^2*x^9 + a^7*b*x^6)","B",0
284,1,396,0,0.472888," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^10/(b*x^3+a)^3,x, algorithm=""fricas"")","-\frac{6 \, {\left(10 \, a b^{4} c - 6 \, a^{2} b^{3} d + 3 \, a^{3} b^{2} e - a^{4} b f\right)} x^{12} + 9 \, {\left(10 \, a^{2} b^{3} c - 6 \, a^{3} b^{2} d + 3 \, a^{4} b e - a^{5} f\right)} x^{9} + 2 \, {\left(10 \, a^{3} b^{2} c - 6 \, a^{4} b d + 3 \, a^{5} e\right)} x^{6} + 2 \, a^{5} c - {\left(5 \, a^{4} b c - 3 \, a^{5} d\right)} x^{3} - 6 \, {\left({\left(10 \, b^{5} c - 6 \, a b^{4} d + 3 \, a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{15} + 2 \, {\left(10 \, a b^{4} c - 6 \, a^{2} b^{3} d + 3 \, a^{3} b^{2} e - a^{4} b f\right)} x^{12} + {\left(10 \, a^{2} b^{3} c - 6 \, a^{3} b^{2} d + 3 \, a^{4} b e - a^{5} f\right)} x^{9}\right)} \log\left(b x^{3} + a\right) + 18 \, {\left({\left(10 \, b^{5} c - 6 \, a b^{4} d + 3 \, a^{2} b^{3} e - a^{3} b^{2} f\right)} x^{15} + 2 \, {\left(10 \, a b^{4} c - 6 \, a^{2} b^{3} d + 3 \, a^{3} b^{2} e - a^{4} b f\right)} x^{12} + {\left(10 \, a^{2} b^{3} c - 6 \, a^{3} b^{2} d + 3 \, a^{4} b e - a^{5} f\right)} x^{9}\right)} \log\left(x\right)}{18 \, {\left(a^{6} b^{2} x^{15} + 2 \, a^{7} b x^{12} + a^{8} x^{9}\right)}}"," ",0,"-1/18*(6*(10*a*b^4*c - 6*a^2*b^3*d + 3*a^3*b^2*e - a^4*b*f)*x^12 + 9*(10*a^2*b^3*c - 6*a^3*b^2*d + 3*a^4*b*e - a^5*f)*x^9 + 2*(10*a^3*b^2*c - 6*a^4*b*d + 3*a^5*e)*x^6 + 2*a^5*c - (5*a^4*b*c - 3*a^5*d)*x^3 - 6*((10*b^5*c - 6*a*b^4*d + 3*a^2*b^3*e - a^3*b^2*f)*x^15 + 2*(10*a*b^4*c - 6*a^2*b^3*d + 3*a^3*b^2*e - a^4*b*f)*x^12 + (10*a^2*b^3*c - 6*a^3*b^2*d + 3*a^4*b*e - a^5*f)*x^9)*log(b*x^3 + a) + 18*((10*b^5*c - 6*a*b^4*d + 3*a^2*b^3*e - a^3*b^2*f)*x^15 + 2*(10*a*b^4*c - 6*a^2*b^3*d + 3*a^3*b^2*e - a^4*b*f)*x^12 + (10*a^2*b^3*c - 6*a^3*b^2*d + 3*a^4*b*e - a^5*f)*x^9)*log(x))/(a^6*b^2*x^15 + 2*a^7*b*x^12 + a^8*x^9)","A",0
285,1,448,0,0.500060," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^13/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{12 \, {\left(15 \, a b^{5} c - 10 \, a^{2} b^{4} d + 6 \, a^{3} b^{3} e - 3 \, a^{4} b^{2} f\right)} x^{15} + 18 \, {\left(15 \, a^{2} b^{4} c - 10 \, a^{3} b^{3} d + 6 \, a^{4} b^{2} e - 3 \, a^{5} b f\right)} x^{12} + 4 \, {\left(15 \, a^{3} b^{3} c - 10 \, a^{4} b^{2} d + 6 \, a^{5} b e - 3 \, a^{6} f\right)} x^{9} - 3 \, a^{6} c - {\left(15 \, a^{4} b^{2} c - 10 \, a^{5} b d + 6 \, a^{6} e\right)} x^{6} + 2 \, {\left(3 \, a^{5} b c - 2 \, a^{6} d\right)} x^{3} - 12 \, {\left({\left(15 \, b^{6} c - 10 \, a b^{5} d + 6 \, a^{2} b^{4} e - 3 \, a^{3} b^{3} f\right)} x^{18} + 2 \, {\left(15 \, a b^{5} c - 10 \, a^{2} b^{4} d + 6 \, a^{3} b^{3} e - 3 \, a^{4} b^{2} f\right)} x^{15} + {\left(15 \, a^{2} b^{4} c - 10 \, a^{3} b^{3} d + 6 \, a^{4} b^{2} e - 3 \, a^{5} b f\right)} x^{12}\right)} \log\left(b x^{3} + a\right) + 36 \, {\left({\left(15 \, b^{6} c - 10 \, a b^{5} d + 6 \, a^{2} b^{4} e - 3 \, a^{3} b^{3} f\right)} x^{18} + 2 \, {\left(15 \, a b^{5} c - 10 \, a^{2} b^{4} d + 6 \, a^{3} b^{3} e - 3 \, a^{4} b^{2} f\right)} x^{15} + {\left(15 \, a^{2} b^{4} c - 10 \, a^{3} b^{3} d + 6 \, a^{4} b^{2} e - 3 \, a^{5} b f\right)} x^{12}\right)} \log\left(x\right)}{36 \, {\left(a^{7} b^{2} x^{18} + 2 \, a^{8} b x^{15} + a^{9} x^{12}\right)}}"," ",0,"1/36*(12*(15*a*b^5*c - 10*a^2*b^4*d + 6*a^3*b^3*e - 3*a^4*b^2*f)*x^15 + 18*(15*a^2*b^4*c - 10*a^3*b^3*d + 6*a^4*b^2*e - 3*a^5*b*f)*x^12 + 4*(15*a^3*b^3*c - 10*a^4*b^2*d + 6*a^5*b*e - 3*a^6*f)*x^9 - 3*a^6*c - (15*a^4*b^2*c - 10*a^5*b*d + 6*a^6*e)*x^6 + 2*(3*a^5*b*c - 2*a^6*d)*x^3 - 12*((15*b^6*c - 10*a*b^5*d + 6*a^2*b^4*e - 3*a^3*b^3*f)*x^18 + 2*(15*a*b^5*c - 10*a^2*b^4*d + 6*a^3*b^3*e - 3*a^4*b^2*f)*x^15 + (15*a^2*b^4*c - 10*a^3*b^3*d + 6*a^4*b^2*e - 3*a^5*b*f)*x^12)*log(b*x^3 + a) + 36*((15*b^6*c - 10*a*b^5*d + 6*a^2*b^4*e - 3*a^3*b^3*f)*x^18 + 2*(15*a*b^5*c - 10*a^2*b^4*d + 6*a^3*b^3*e - 3*a^4*b^2*f)*x^15 + (15*a^2*b^4*c - 10*a^3*b^3*d + 6*a^4*b^2*e - 3*a^5*b*f)*x^12)*log(x))/(a^7*b^2*x^18 + 2*a^8*b*x^15 + a^9*x^12)","A",0
286,1,667,0,0.443130," ","integrate(x^12*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{3780 \, b^{6} f x^{19} + 378 \, {\left(13 \, b^{6} e - 19 \, a b^{5} f\right)} x^{16} + 108 \, {\left(65 \, b^{6} d - 104 \, a b^{5} e + 152 \, a^{2} b^{4} f\right)} x^{13} + 351 \, {\left(35 \, b^{6} c - 65 \, a b^{5} d + 104 \, a^{2} b^{4} e - 152 \, a^{3} b^{3} f\right)} x^{10} - 3510 \, {\left(35 \, a b^{5} c - 65 \, a^{2} b^{4} d + 104 \, a^{3} b^{3} e - 152 \, a^{4} b^{2} f\right)} x^{7} - 9555 \, {\left(35 \, a^{2} b^{4} c - 65 \, a^{3} b^{3} d + 104 \, a^{4} b^{2} e - 152 \, a^{5} b f\right)} x^{4} - 1820 \, \sqrt{3} {\left(35 \, a^{3} b^{3} c - 65 \, a^{4} b^{2} d + 104 \, a^{5} b e - 152 \, a^{6} f + {\left(35 \, a b^{5} c - 65 \, a^{2} b^{4} d + 104 \, a^{3} b^{3} e - 152 \, a^{4} b^{2} f\right)} x^{6} + 2 \, {\left(35 \, a^{2} b^{4} c - 65 \, a^{3} b^{3} d + 104 \, a^{4} b^{2} e - 152 \, a^{5} b f\right)} x^{3}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) + 910 \, {\left(35 \, a^{3} b^{3} c - 65 \, a^{4} b^{2} d + 104 \, a^{5} b e - 152 \, a^{6} f + {\left(35 \, a b^{5} c - 65 \, a^{2} b^{4} d + 104 \, a^{3} b^{3} e - 152 \, a^{4} b^{2} f\right)} x^{6} + 2 \, {\left(35 \, a^{2} b^{4} c - 65 \, a^{3} b^{3} d + 104 \, a^{4} b^{2} e - 152 \, a^{5} b f\right)} x^{3}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right) - 1820 \, {\left(35 \, a^{3} b^{3} c - 65 \, a^{4} b^{2} d + 104 \, a^{5} b e - 152 \, a^{6} f + {\left(35 \, a b^{5} c - 65 \, a^{2} b^{4} d + 104 \, a^{3} b^{3} e - 152 \, a^{4} b^{2} f\right)} x^{6} + 2 \, {\left(35 \, a^{2} b^{4} c - 65 \, a^{3} b^{3} d + 104 \, a^{4} b^{2} e - 152 \, a^{5} b f\right)} x^{3}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x - \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right) - 5460 \, {\left(35 \, a^{3} b^{3} c - 65 \, a^{4} b^{2} d + 104 \, a^{5} b e - 152 \, a^{6} f\right)} x}{49140 \, {\left(b^{9} x^{6} + 2 \, a b^{8} x^{3} + a^{2} b^{7}\right)}}"," ",0,"1/49140*(3780*b^6*f*x^19 + 378*(13*b^6*e - 19*a*b^5*f)*x^16 + 108*(65*b^6*d - 104*a*b^5*e + 152*a^2*b^4*f)*x^13 + 351*(35*b^6*c - 65*a*b^5*d + 104*a^2*b^4*e - 152*a^3*b^3*f)*x^10 - 3510*(35*a*b^5*c - 65*a^2*b^4*d + 104*a^3*b^3*e - 152*a^4*b^2*f)*x^7 - 9555*(35*a^2*b^4*c - 65*a^3*b^3*d + 104*a^4*b^2*e - 152*a^5*b*f)*x^4 - 1820*sqrt(3)*(35*a^3*b^3*c - 65*a^4*b^2*d + 104*a^5*b*e - 152*a^6*f + (35*a*b^5*c - 65*a^2*b^4*d + 104*a^3*b^3*e - 152*a^4*b^2*f)*x^6 + 2*(35*a^2*b^4*c - 65*a^3*b^3*d + 104*a^4*b^2*e - 152*a^5*b*f)*x^3)*(-a/b)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-a/b)^(2/3) - sqrt(3)*a)/a) + 910*(35*a^3*b^3*c - 65*a^4*b^2*d + 104*a^5*b*e - 152*a^6*f + (35*a*b^5*c - 65*a^2*b^4*d + 104*a^3*b^3*e - 152*a^4*b^2*f)*x^6 + 2*(35*a^2*b^4*c - 65*a^3*b^3*d + 104*a^4*b^2*e - 152*a^5*b*f)*x^3)*(-a/b)^(1/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3)) - 1820*(35*a^3*b^3*c - 65*a^4*b^2*d + 104*a^5*b*e - 152*a^6*f + (35*a*b^5*c - 65*a^2*b^4*d + 104*a^3*b^3*e - 152*a^4*b^2*f)*x^6 + 2*(35*a^2*b^4*c - 65*a^3*b^3*d + 104*a^4*b^2*e - 152*a^5*b*f)*x^3)*(-a/b)^(1/3)*log(x - (-a/b)^(1/3)) - 5460*(35*a^3*b^3*c - 65*a^4*b^2*d + 104*a^5*b*e - 152*a^6*f)*x)/(b^9*x^6 + 2*a*b^8*x^3 + a^2*b^7)","A",0
287,1,634,0,0.429346," ","integrate(x^10*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{1080 \, b^{5} f x^{17} + 135 \, {\left(11 \, b^{5} e - 17 \, a b^{4} f\right)} x^{14} + 54 \, {\left(44 \, b^{5} d - 77 \, a b^{4} e + 119 \, a^{2} b^{3} f\right)} x^{11} + 297 \, {\left(20 \, b^{5} c - 44 \, a b^{4} d + 77 \, a^{2} b^{3} e - 119 \, a^{3} b^{2} f\right)} x^{8} + 1056 \, {\left(20 \, a b^{4} c - 44 \, a^{2} b^{3} d + 77 \, a^{3} b^{2} e - 119 \, a^{4} b f\right)} x^{5} + 660 \, {\left(20 \, a^{2} b^{3} c - 44 \, a^{3} b^{2} d + 77 \, a^{4} b e - 119 \, a^{5} f\right)} x^{2} - 440 \, \sqrt{3} {\left({\left(20 \, b^{5} c - 44 \, a b^{4} d + 77 \, a^{2} b^{3} e - 119 \, a^{3} b^{2} f\right)} x^{6} + 20 \, a^{2} b^{3} c - 44 \, a^{3} b^{2} d + 77 \, a^{4} b e - 119 \, a^{5} f + 2 \, {\left(20 \, a b^{4} c - 44 \, a^{2} b^{3} d + 77 \, a^{3} b^{2} e - 119 \, a^{4} b f\right)} x^{3}\right)} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} + \sqrt{3} a}{3 \, a}\right) + 220 \, {\left({\left(20 \, b^{5} c - 44 \, a b^{4} d + 77 \, a^{2} b^{3} e - 119 \, a^{3} b^{2} f\right)} x^{6} + 20 \, a^{2} b^{3} c - 44 \, a^{3} b^{2} d + 77 \, a^{4} b e - 119 \, a^{5} f + 2 \, {\left(20 \, a b^{4} c - 44 \, a^{2} b^{3} d + 77 \, a^{3} b^{2} e - 119 \, a^{4} b f\right)} x^{3}\right)} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(a x^{2} - b x \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}} - a \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}}\right) - 440 \, {\left({\left(20 \, b^{5} c - 44 \, a b^{4} d + 77 \, a^{2} b^{3} e - 119 \, a^{3} b^{2} f\right)} x^{6} + 20 \, a^{2} b^{3} c - 44 \, a^{3} b^{2} d + 77 \, a^{4} b e - 119 \, a^{5} f + 2 \, {\left(20 \, a b^{4} c - 44 \, a^{2} b^{3} d + 77 \, a^{3} b^{2} e - 119 \, a^{4} b f\right)} x^{3}\right)} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(a x + b \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}}\right)}{11880 \, {\left(b^{8} x^{6} + 2 \, a b^{7} x^{3} + a^{2} b^{6}\right)}}"," ",0,"1/11880*(1080*b^5*f*x^17 + 135*(11*b^5*e - 17*a*b^4*f)*x^14 + 54*(44*b^5*d - 77*a*b^4*e + 119*a^2*b^3*f)*x^11 + 297*(20*b^5*c - 44*a*b^4*d + 77*a^2*b^3*e - 119*a^3*b^2*f)*x^8 + 1056*(20*a*b^4*c - 44*a^2*b^3*d + 77*a^3*b^2*e - 119*a^4*b*f)*x^5 + 660*(20*a^2*b^3*c - 44*a^3*b^2*d + 77*a^4*b*e - 119*a^5*f)*x^2 - 440*sqrt(3)*((20*b^5*c - 44*a*b^4*d + 77*a^2*b^3*e - 119*a^3*b^2*f)*x^6 + 20*a^2*b^3*c - 44*a^3*b^2*d + 77*a^4*b*e - 119*a^5*f + 2*(20*a*b^4*c - 44*a^2*b^3*d + 77*a^3*b^2*e - 119*a^4*b*f)*x^3)*(-a^2/b^2)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-a^2/b^2)^(1/3) + sqrt(3)*a)/a) + 220*((20*b^5*c - 44*a*b^4*d + 77*a^2*b^3*e - 119*a^3*b^2*f)*x^6 + 20*a^2*b^3*c - 44*a^3*b^2*d + 77*a^4*b*e - 119*a^5*f + 2*(20*a*b^4*c - 44*a^2*b^3*d + 77*a^3*b^2*e - 119*a^4*b*f)*x^3)*(-a^2/b^2)^(1/3)*log(a*x^2 - b*x*(-a^2/b^2)^(2/3) - a*(-a^2/b^2)^(1/3)) - 440*((20*b^5*c - 44*a*b^4*d + 77*a^2*b^3*e - 119*a^3*b^2*f)*x^6 + 20*a^2*b^3*c - 44*a^3*b^2*d + 77*a^4*b*e - 119*a^5*f + 2*(20*a*b^4*c - 44*a^2*b^3*d + 77*a^3*b^2*e - 119*a^4*b*f)*x^3)*(-a^2/b^2)^(1/3)*log(a*x + b*(-a^2/b^2)^(2/3)))/(b^8*x^6 + 2*a*b^7*x^3 + a^2*b^6)","A",0
288,1,602,0,0.436486," ","integrate(x^9*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{378 \, b^{5} f x^{16} + 108 \, {\left(5 \, b^{5} e - 8 \, a b^{4} f\right)} x^{13} + 27 \, {\left(35 \, b^{5} d - 65 \, a b^{4} e + 104 \, a^{2} b^{3} f\right)} x^{10} + 270 \, {\left(14 \, b^{5} c - 35 \, a b^{4} d + 65 \, a^{2} b^{3} e - 104 \, a^{3} b^{2} f\right)} x^{7} + 735 \, {\left(14 \, a b^{4} c - 35 \, a^{2} b^{3} d + 65 \, a^{3} b^{2} e - 104 \, a^{4} b f\right)} x^{4} - 140 \, \sqrt{3} {\left({\left(14 \, b^{5} c - 35 \, a b^{4} d + 65 \, a^{2} b^{3} e - 104 \, a^{3} b^{2} f\right)} x^{6} + 14 \, a^{2} b^{3} c - 35 \, a^{3} b^{2} d + 65 \, a^{4} b e - 104 \, a^{5} f + 2 \, {\left(14 \, a b^{4} c - 35 \, a^{2} b^{3} d + 65 \, a^{3} b^{2} e - 104 \, a^{4} b f\right)} x^{3}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) + 70 \, {\left({\left(14 \, b^{5} c - 35 \, a b^{4} d + 65 \, a^{2} b^{3} e - 104 \, a^{3} b^{2} f\right)} x^{6} + 14 \, a^{2} b^{3} c - 35 \, a^{3} b^{2} d + 65 \, a^{4} b e - 104 \, a^{5} f + 2 \, {\left(14 \, a b^{4} c - 35 \, a^{2} b^{3} d + 65 \, a^{3} b^{2} e - 104 \, a^{4} b f\right)} x^{3}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right) - 140 \, {\left({\left(14 \, b^{5} c - 35 \, a b^{4} d + 65 \, a^{2} b^{3} e - 104 \, a^{3} b^{2} f\right)} x^{6} + 14 \, a^{2} b^{3} c - 35 \, a^{3} b^{2} d + 65 \, a^{4} b e - 104 \, a^{5} f + 2 \, {\left(14 \, a b^{4} c - 35 \, a^{2} b^{3} d + 65 \, a^{3} b^{2} e - 104 \, a^{4} b f\right)} x^{3}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right) + 420 \, {\left(14 \, a^{2} b^{3} c - 35 \, a^{3} b^{2} d + 65 \, a^{4} b e - 104 \, a^{5} f\right)} x}{3780 \, {\left(b^{8} x^{6} + 2 \, a b^{7} x^{3} + a^{2} b^{6}\right)}}"," ",0,"1/3780*(378*b^5*f*x^16 + 108*(5*b^5*e - 8*a*b^4*f)*x^13 + 27*(35*b^5*d - 65*a*b^4*e + 104*a^2*b^3*f)*x^10 + 270*(14*b^5*c - 35*a*b^4*d + 65*a^2*b^3*e - 104*a^3*b^2*f)*x^7 + 735*(14*a*b^4*c - 35*a^2*b^3*d + 65*a^3*b^2*e - 104*a^4*b*f)*x^4 - 140*sqrt(3)*((14*b^5*c - 35*a*b^4*d + 65*a^2*b^3*e - 104*a^3*b^2*f)*x^6 + 14*a^2*b^3*c - 35*a^3*b^2*d + 65*a^4*b*e - 104*a^5*f + 2*(14*a*b^4*c - 35*a^2*b^3*d + 65*a^3*b^2*e - 104*a^4*b*f)*x^3)*(a/b)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(a/b)^(2/3) - sqrt(3)*a)/a) + 70*((14*b^5*c - 35*a*b^4*d + 65*a^2*b^3*e - 104*a^3*b^2*f)*x^6 + 14*a^2*b^3*c - 35*a^3*b^2*d + 65*a^4*b*e - 104*a^5*f + 2*(14*a*b^4*c - 35*a^2*b^3*d + 65*a^3*b^2*e - 104*a^4*b*f)*x^3)*(a/b)^(1/3)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3)) - 140*((14*b^5*c - 35*a*b^4*d + 65*a^2*b^3*e - 104*a^3*b^2*f)*x^6 + 14*a^2*b^3*c - 35*a^3*b^2*d + 65*a^4*b*e - 104*a^5*f + 2*(14*a*b^4*c - 35*a^2*b^3*d + 65*a^3*b^2*e - 104*a^4*b*f)*x^3)*(a/b)^(1/3)*log(x + (a/b)^(1/3)) + 420*(14*a^2*b^3*c - 35*a^3*b^2*d + 65*a^4*b*e - 104*a^5*f)*x)/(b^8*x^6 + 2*a*b^7*x^3 + a^2*b^6)","A",0
289,1,1278,0,0.447697," ","integrate(x^7*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[\frac{135 \, a b^{6} f x^{14} + 54 \, {\left(4 \, a b^{6} e - 7 \, a^{2} b^{5} f\right)} x^{11} + 27 \, {\left(20 \, a b^{6} d - 44 \, a^{2} b^{5} e + 77 \, a^{3} b^{4} f\right)} x^{8} - 96 \, {\left(5 \, a b^{6} c - 20 \, a^{2} b^{5} d + 44 \, a^{3} b^{4} e - 77 \, a^{4} b^{3} f\right)} x^{5} - 60 \, {\left(5 \, a^{2} b^{5} c - 20 \, a^{3} b^{4} d + 44 \, a^{4} b^{3} e - 77 \, a^{5} b^{2} f\right)} x^{2} - 60 \, \sqrt{\frac{1}{3}} {\left(5 \, a^{3} b^{4} c - 20 \, a^{4} b^{3} d + 44 \, a^{5} b^{2} e - 77 \, a^{6} b f + {\left(5 \, a b^{6} c - 20 \, a^{2} b^{5} d + 44 \, a^{3} b^{4} e - 77 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(5 \, a^{2} b^{5} c - 20 \, a^{3} b^{4} d + 44 \, a^{4} b^{3} e - 77 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b - 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(a b^{2}\right)^{\frac{2}{3}} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + 20 \, {\left({\left(5 \, b^{5} c - 20 \, a b^{4} d + 44 \, a^{2} b^{3} e - 77 \, a^{3} b^{2} f\right)} x^{6} + 5 \, a^{2} b^{3} c - 20 \, a^{3} b^{2} d + 44 \, a^{4} b e - 77 \, a^{5} f + 2 \, {\left(5 \, a b^{4} c - 20 \, a^{2} b^{3} d + 44 \, a^{3} b^{2} e - 77 \, a^{4} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) - 40 \, {\left({\left(5 \, b^{5} c - 20 \, a b^{4} d + 44 \, a^{2} b^{3} e - 77 \, a^{3} b^{2} f\right)} x^{6} + 5 \, a^{2} b^{3} c - 20 \, a^{3} b^{2} d + 44 \, a^{4} b e - 77 \, a^{5} f + 2 \, {\left(5 \, a b^{4} c - 20 \, a^{2} b^{3} d + 44 \, a^{3} b^{2} e - 77 \, a^{4} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right)}{1080 \, {\left(a b^{9} x^{6} + 2 \, a^{2} b^{8} x^{3} + a^{3} b^{7}\right)}}, \frac{135 \, a b^{6} f x^{14} + 54 \, {\left(4 \, a b^{6} e - 7 \, a^{2} b^{5} f\right)} x^{11} + 27 \, {\left(20 \, a b^{6} d - 44 \, a^{2} b^{5} e + 77 \, a^{3} b^{4} f\right)} x^{8} - 96 \, {\left(5 \, a b^{6} c - 20 \, a^{2} b^{5} d + 44 \, a^{3} b^{4} e - 77 \, a^{4} b^{3} f\right)} x^{5} - 60 \, {\left(5 \, a^{2} b^{5} c - 20 \, a^{3} b^{4} d + 44 \, a^{4} b^{3} e - 77 \, a^{5} b^{2} f\right)} x^{2} - 120 \, \sqrt{\frac{1}{3}} {\left(5 \, a^{3} b^{4} c - 20 \, a^{4} b^{3} d + 44 \, a^{5} b^{2} e - 77 \, a^{6} b f + {\left(5 \, a b^{6} c - 20 \, a^{2} b^{5} d + 44 \, a^{3} b^{4} e - 77 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(5 \, a^{2} b^{5} c - 20 \, a^{3} b^{4} d + 44 \, a^{4} b^{3} e - 77 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x - \left(a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 20 \, {\left({\left(5 \, b^{5} c - 20 \, a b^{4} d + 44 \, a^{2} b^{3} e - 77 \, a^{3} b^{2} f\right)} x^{6} + 5 \, a^{2} b^{3} c - 20 \, a^{3} b^{2} d + 44 \, a^{4} b e - 77 \, a^{5} f + 2 \, {\left(5 \, a b^{4} c - 20 \, a^{2} b^{3} d + 44 \, a^{3} b^{2} e - 77 \, a^{4} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) - 40 \, {\left({\left(5 \, b^{5} c - 20 \, a b^{4} d + 44 \, a^{2} b^{3} e - 77 \, a^{3} b^{2} f\right)} x^{6} + 5 \, a^{2} b^{3} c - 20 \, a^{3} b^{2} d + 44 \, a^{4} b e - 77 \, a^{5} f + 2 \, {\left(5 \, a b^{4} c - 20 \, a^{2} b^{3} d + 44 \, a^{3} b^{2} e - 77 \, a^{4} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right)}{1080 \, {\left(a b^{9} x^{6} + 2 \, a^{2} b^{8} x^{3} + a^{3} b^{7}\right)}}\right]"," ",0,"[1/1080*(135*a*b^6*f*x^14 + 54*(4*a*b^6*e - 7*a^2*b^5*f)*x^11 + 27*(20*a*b^6*d - 44*a^2*b^5*e + 77*a^3*b^4*f)*x^8 - 96*(5*a*b^6*c - 20*a^2*b^5*d + 44*a^3*b^4*e - 77*a^4*b^3*f)*x^5 - 60*(5*a^2*b^5*c - 20*a^3*b^4*d + 44*a^4*b^3*e - 77*a^5*b^2*f)*x^2 - 60*sqrt(1/3)*(5*a^3*b^4*c - 20*a^4*b^3*d + 44*a^5*b^2*e - 77*a^6*b*f + (5*a*b^6*c - 20*a^2*b^5*d + 44*a^3*b^4*e - 77*a^4*b^3*f)*x^6 + 2*(5*a^2*b^5*c - 20*a^3*b^4*d + 44*a^4*b^3*e - 77*a^5*b^2*f)*x^3)*sqrt(-(a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b - 3*sqrt(1/3)*(a*b*x + 2*(a*b^2)^(2/3)*x^2 - (a*b^2)^(1/3)*a)*sqrt(-(a*b^2)^(1/3)/a) - 3*(a*b^2)^(2/3)*x)/(b*x^3 + a)) + 20*((5*b^5*c - 20*a*b^4*d + 44*a^2*b^3*e - 77*a^3*b^2*f)*x^6 + 5*a^2*b^3*c - 20*a^3*b^2*d + 44*a^4*b*e - 77*a^5*f + 2*(5*a*b^4*c - 20*a^2*b^3*d + 44*a^3*b^2*e - 77*a^4*b*f)*x^3)*(a*b^2)^(2/3)*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) - 40*((5*b^5*c - 20*a*b^4*d + 44*a^2*b^3*e - 77*a^3*b^2*f)*x^6 + 5*a^2*b^3*c - 20*a^3*b^2*d + 44*a^4*b*e - 77*a^5*f + 2*(5*a*b^4*c - 20*a^2*b^3*d + 44*a^3*b^2*e - 77*a^4*b*f)*x^3)*(a*b^2)^(2/3)*log(b*x + (a*b^2)^(1/3)))/(a*b^9*x^6 + 2*a^2*b^8*x^3 + a^3*b^7), 1/1080*(135*a*b^6*f*x^14 + 54*(4*a*b^6*e - 7*a^2*b^5*f)*x^11 + 27*(20*a*b^6*d - 44*a^2*b^5*e + 77*a^3*b^4*f)*x^8 - 96*(5*a*b^6*c - 20*a^2*b^5*d + 44*a^3*b^4*e - 77*a^4*b^3*f)*x^5 - 60*(5*a^2*b^5*c - 20*a^3*b^4*d + 44*a^4*b^3*e - 77*a^5*b^2*f)*x^2 - 120*sqrt(1/3)*(5*a^3*b^4*c - 20*a^4*b^3*d + 44*a^5*b^2*e - 77*a^6*b*f + (5*a*b^6*c - 20*a^2*b^5*d + 44*a^3*b^4*e - 77*a^4*b^3*f)*x^6 + 2*(5*a^2*b^5*c - 20*a^3*b^4*d + 44*a^4*b^3*e - 77*a^5*b^2*f)*x^3)*sqrt((a*b^2)^(1/3)/a)*arctan(-sqrt(1/3)*(2*b*x - (a*b^2)^(1/3))*sqrt((a*b^2)^(1/3)/a)/b) + 20*((5*b^5*c - 20*a*b^4*d + 44*a^2*b^3*e - 77*a^3*b^2*f)*x^6 + 5*a^2*b^3*c - 20*a^3*b^2*d + 44*a^4*b*e - 77*a^5*f + 2*(5*a*b^4*c - 20*a^2*b^3*d + 44*a^3*b^2*e - 77*a^4*b*f)*x^3)*(a*b^2)^(2/3)*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) - 40*((5*b^5*c - 20*a*b^4*d + 44*a^2*b^3*e - 77*a^3*b^2*f)*x^6 + 5*a^2*b^3*c - 20*a^3*b^2*d + 44*a^4*b*e - 77*a^5*f + 2*(5*a*b^4*c - 20*a^2*b^3*d + 44*a^3*b^2*e - 77*a^4*b*f)*x^3)*(a*b^2)^(2/3)*log(b*x + (a*b^2)^(1/3)))/(a*b^9*x^6 + 2*a^2*b^8*x^3 + a^3*b^7)]","B",0
290,1,1318,0,0.445888," ","integrate(x^6*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[\frac{108 \, a^{2} b^{5} f x^{13} + 27 \, {\left(7 \, a^{2} b^{5} e - 13 \, a^{3} b^{4} f\right)} x^{10} + 54 \, {\left(14 \, a^{2} b^{5} d - 35 \, a^{3} b^{4} e + 65 \, a^{4} b^{3} f\right)} x^{7} - 147 \, {\left(2 \, a^{2} b^{5} c - 14 \, a^{3} b^{4} d + 35 \, a^{4} b^{3} e - 65 \, a^{5} b^{2} f\right)} x^{4} - 42 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{3} b^{4} c - 14 \, a^{4} b^{3} d + 35 \, a^{5} b^{2} e - 65 \, a^{6} b f + {\left(2 \, a b^{6} c - 14 \, a^{2} b^{5} d + 35 \, a^{3} b^{4} e - 65 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(2 \, a^{2} b^{5} c - 14 \, a^{3} b^{4} d + 35 \, a^{4} b^{3} e - 65 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} + 3 \, \left(-a^{2} b\right)^{\frac{1}{3}} a x - a^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - 14 \, {\left({\left(2 \, b^{5} c - 14 \, a b^{4} d + 35 \, a^{2} b^{3} e - 65 \, a^{3} b^{2} f\right)} x^{6} + 2 \, a^{2} b^{3} c - 14 \, a^{3} b^{2} d + 35 \, a^{4} b e - 65 \, a^{5} f + 2 \, {\left(2 \, a b^{4} c - 14 \, a^{2} b^{3} d + 35 \, a^{3} b^{2} e - 65 \, a^{4} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) + 28 \, {\left({\left(2 \, b^{5} c - 14 \, a b^{4} d + 35 \, a^{2} b^{3} e - 65 \, a^{3} b^{2} f\right)} x^{6} + 2 \, a^{2} b^{3} c - 14 \, a^{3} b^{2} d + 35 \, a^{4} b e - 65 \, a^{5} f + 2 \, {\left(2 \, a b^{4} c - 14 \, a^{2} b^{3} d + 35 \, a^{3} b^{2} e - 65 \, a^{4} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right) - 84 \, {\left(2 \, a^{3} b^{4} c - 14 \, a^{4} b^{3} d + 35 \, a^{5} b^{2} e - 65 \, a^{6} b f\right)} x}{756 \, {\left(a^{2} b^{8} x^{6} + 2 \, a^{3} b^{7} x^{3} + a^{4} b^{6}\right)}}, \frac{108 \, a^{2} b^{5} f x^{13} + 27 \, {\left(7 \, a^{2} b^{5} e - 13 \, a^{3} b^{4} f\right)} x^{10} + 54 \, {\left(14 \, a^{2} b^{5} d - 35 \, a^{3} b^{4} e + 65 \, a^{4} b^{3} f\right)} x^{7} - 147 \, {\left(2 \, a^{2} b^{5} c - 14 \, a^{3} b^{4} d + 35 \, a^{4} b^{3} e - 65 \, a^{5} b^{2} f\right)} x^{4} + 84 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{3} b^{4} c - 14 \, a^{4} b^{3} d + 35 \, a^{5} b^{2} e - 65 \, a^{6} b f + {\left(2 \, a b^{6} c - 14 \, a^{2} b^{5} d + 35 \, a^{3} b^{4} e - 65 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(2 \, a^{2} b^{5} c - 14 \, a^{3} b^{4} d + 35 \, a^{4} b^{3} e - 65 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 14 \, {\left({\left(2 \, b^{5} c - 14 \, a b^{4} d + 35 \, a^{2} b^{3} e - 65 \, a^{3} b^{2} f\right)} x^{6} + 2 \, a^{2} b^{3} c - 14 \, a^{3} b^{2} d + 35 \, a^{4} b e - 65 \, a^{5} f + 2 \, {\left(2 \, a b^{4} c - 14 \, a^{2} b^{3} d + 35 \, a^{3} b^{2} e - 65 \, a^{4} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) + 28 \, {\left({\left(2 \, b^{5} c - 14 \, a b^{4} d + 35 \, a^{2} b^{3} e - 65 \, a^{3} b^{2} f\right)} x^{6} + 2 \, a^{2} b^{3} c - 14 \, a^{3} b^{2} d + 35 \, a^{4} b e - 65 \, a^{5} f + 2 \, {\left(2 \, a b^{4} c - 14 \, a^{2} b^{3} d + 35 \, a^{3} b^{2} e - 65 \, a^{4} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right) - 84 \, {\left(2 \, a^{3} b^{4} c - 14 \, a^{4} b^{3} d + 35 \, a^{5} b^{2} e - 65 \, a^{6} b f\right)} x}{756 \, {\left(a^{2} b^{8} x^{6} + 2 \, a^{3} b^{7} x^{3} + a^{4} b^{6}\right)}}\right]"," ",0,"[1/756*(108*a^2*b^5*f*x^13 + 27*(7*a^2*b^5*e - 13*a^3*b^4*f)*x^10 + 54*(14*a^2*b^5*d - 35*a^3*b^4*e + 65*a^4*b^3*f)*x^7 - 147*(2*a^2*b^5*c - 14*a^3*b^4*d + 35*a^4*b^3*e - 65*a^5*b^2*f)*x^4 - 42*sqrt(1/3)*(2*a^3*b^4*c - 14*a^4*b^3*d + 35*a^5*b^2*e - 65*a^6*b*f + (2*a*b^6*c - 14*a^2*b^5*d + 35*a^3*b^4*e - 65*a^4*b^3*f)*x^6 + 2*(2*a^2*b^5*c - 14*a^3*b^4*d + 35*a^4*b^3*e - 65*a^5*b^2*f)*x^3)*sqrt((-a^2*b)^(1/3)/b)*log((2*a*b*x^3 + 3*(-a^2*b)^(1/3)*a*x - a^2 - 3*sqrt(1/3)*(2*a*b*x^2 + (-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt((-a^2*b)^(1/3)/b))/(b*x^3 + a)) - 14*((2*b^5*c - 14*a*b^4*d + 35*a^2*b^3*e - 65*a^3*b^2*f)*x^6 + 2*a^2*b^3*c - 14*a^3*b^2*d + 35*a^4*b*e - 65*a^5*f + 2*(2*a*b^4*c - 14*a^2*b^3*d + 35*a^3*b^2*e - 65*a^4*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) + 28*((2*b^5*c - 14*a*b^4*d + 35*a^2*b^3*e - 65*a^3*b^2*f)*x^6 + 2*a^2*b^3*c - 14*a^3*b^2*d + 35*a^4*b*e - 65*a^5*f + 2*(2*a*b^4*c - 14*a^2*b^3*d + 35*a^3*b^2*e - 65*a^4*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x + (-a^2*b)^(2/3)) - 84*(2*a^3*b^4*c - 14*a^4*b^3*d + 35*a^5*b^2*e - 65*a^6*b*f)*x)/(a^2*b^8*x^6 + 2*a^3*b^7*x^3 + a^4*b^6), 1/756*(108*a^2*b^5*f*x^13 + 27*(7*a^2*b^5*e - 13*a^3*b^4*f)*x^10 + 54*(14*a^2*b^5*d - 35*a^3*b^4*e + 65*a^4*b^3*f)*x^7 - 147*(2*a^2*b^5*c - 14*a^3*b^4*d + 35*a^4*b^3*e - 65*a^5*b^2*f)*x^4 + 84*sqrt(1/3)*(2*a^3*b^4*c - 14*a^4*b^3*d + 35*a^5*b^2*e - 65*a^6*b*f + (2*a*b^6*c - 14*a^2*b^5*d + 35*a^3*b^4*e - 65*a^4*b^3*f)*x^6 + 2*(2*a^2*b^5*c - 14*a^3*b^4*d + 35*a^4*b^3*e - 65*a^5*b^2*f)*x^3)*sqrt(-(-a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt(-(-a^2*b)^(1/3)/b)/a^2) - 14*((2*b^5*c - 14*a*b^4*d + 35*a^2*b^3*e - 65*a^3*b^2*f)*x^6 + 2*a^2*b^3*c - 14*a^3*b^2*d + 35*a^4*b*e - 65*a^5*f + 2*(2*a*b^4*c - 14*a^2*b^3*d + 35*a^3*b^2*e - 65*a^4*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) + 28*((2*b^5*c - 14*a*b^4*d + 35*a^2*b^3*e - 65*a^3*b^2*f)*x^6 + 2*a^2*b^3*c - 14*a^3*b^2*d + 35*a^4*b*e - 65*a^5*f + 2*(2*a*b^4*c - 14*a^2*b^3*d + 35*a^3*b^2*e - 65*a^4*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x + (-a^2*b)^(2/3)) - 84*(2*a^3*b^4*c - 14*a^4*b^3*d + 35*a^5*b^2*e - 65*a^6*b*f)*x)/(a^2*b^8*x^6 + 2*a^3*b^7*x^3 + a^4*b^6)]","B",0
291,1,1224,0,0.445764," ","integrate(x^4*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[\frac{54 \, a^{2} b^{5} f x^{11} + 27 \, {\left(5 \, a^{2} b^{5} e - 11 \, a^{3} b^{4} f\right)} x^{8} + 6 \, {\left(5 \, a b^{6} c - 20 \, a^{2} b^{5} d + 80 \, a^{3} b^{4} e - 176 \, a^{4} b^{3} f\right)} x^{5} - 15 \, {\left(a^{2} b^{5} c + 5 \, a^{3} b^{4} d - 20 \, a^{4} b^{3} e + 44 \, a^{5} b^{2} f\right)} x^{2} + 15 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{4} c + 5 \, a^{4} b^{3} d - 20 \, a^{5} b^{2} e + 44 \, a^{6} b f + {\left(a b^{6} c + 5 \, a^{2} b^{5} d - 20 \, a^{3} b^{4} e + 44 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(a^{2} b^{5} c + 5 \, a^{3} b^{4} d - 20 \, a^{4} b^{3} e + 44 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + 5 \, {\left({\left(b^{5} c + 5 \, a b^{4} d - 20 \, a^{2} b^{3} e + 44 \, a^{3} b^{2} f\right)} x^{6} + a^{2} b^{3} c + 5 \, a^{3} b^{2} d - 20 \, a^{4} b e + 44 \, a^{5} f + 2 \, {\left(a b^{4} c + 5 \, a^{2} b^{3} d - 20 \, a^{3} b^{2} e + 44 \, a^{4} b f\right)} x^{3}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 10 \, {\left({\left(b^{5} c + 5 \, a b^{4} d - 20 \, a^{2} b^{3} e + 44 \, a^{3} b^{2} f\right)} x^{6} + a^{2} b^{3} c + 5 \, a^{3} b^{2} d - 20 \, a^{4} b e + 44 \, a^{5} f + 2 \, {\left(a b^{4} c + 5 \, a^{2} b^{3} d - 20 \, a^{3} b^{2} e + 44 \, a^{4} b f\right)} x^{3}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{270 \, {\left(a^{2} b^{8} x^{6} + 2 \, a^{3} b^{7} x^{3} + a^{4} b^{6}\right)}}, \frac{54 \, a^{2} b^{5} f x^{11} + 27 \, {\left(5 \, a^{2} b^{5} e - 11 \, a^{3} b^{4} f\right)} x^{8} + 6 \, {\left(5 \, a b^{6} c - 20 \, a^{2} b^{5} d + 80 \, a^{3} b^{4} e - 176 \, a^{4} b^{3} f\right)} x^{5} - 15 \, {\left(a^{2} b^{5} c + 5 \, a^{3} b^{4} d - 20 \, a^{4} b^{3} e + 44 \, a^{5} b^{2} f\right)} x^{2} + 30 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{4} c + 5 \, a^{4} b^{3} d - 20 \, a^{5} b^{2} e + 44 \, a^{6} b f + {\left(a b^{6} c + 5 \, a^{2} b^{5} d - 20 \, a^{3} b^{4} e + 44 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(a^{2} b^{5} c + 5 \, a^{3} b^{4} d - 20 \, a^{4} b^{3} e + 44 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 5 \, {\left({\left(b^{5} c + 5 \, a b^{4} d - 20 \, a^{2} b^{3} e + 44 \, a^{3} b^{2} f\right)} x^{6} + a^{2} b^{3} c + 5 \, a^{3} b^{2} d - 20 \, a^{4} b e + 44 \, a^{5} f + 2 \, {\left(a b^{4} c + 5 \, a^{2} b^{3} d - 20 \, a^{3} b^{2} e + 44 \, a^{4} b f\right)} x^{3}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 10 \, {\left({\left(b^{5} c + 5 \, a b^{4} d - 20 \, a^{2} b^{3} e + 44 \, a^{3} b^{2} f\right)} x^{6} + a^{2} b^{3} c + 5 \, a^{3} b^{2} d - 20 \, a^{4} b e + 44 \, a^{5} f + 2 \, {\left(a b^{4} c + 5 \, a^{2} b^{3} d - 20 \, a^{3} b^{2} e + 44 \, a^{4} b f\right)} x^{3}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{270 \, {\left(a^{2} b^{8} x^{6} + 2 \, a^{3} b^{7} x^{3} + a^{4} b^{6}\right)}}\right]"," ",0,"[1/270*(54*a^2*b^5*f*x^11 + 27*(5*a^2*b^5*e - 11*a^3*b^4*f)*x^8 + 6*(5*a*b^6*c - 20*a^2*b^5*d + 80*a^3*b^4*e - 176*a^4*b^3*f)*x^5 - 15*(a^2*b^5*c + 5*a^3*b^4*d - 20*a^4*b^3*e + 44*a^5*b^2*f)*x^2 + 15*sqrt(1/3)*(a^3*b^4*c + 5*a^4*b^3*d - 20*a^5*b^2*e + 44*a^6*b*f + (a*b^6*c + 5*a^2*b^5*d - 20*a^3*b^4*e + 44*a^4*b^3*f)*x^6 + 2*(a^2*b^5*c + 5*a^3*b^4*d - 20*a^4*b^3*e + 44*a^5*b^2*f)*x^3)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b + 3*sqrt(1/3)*(a*b*x + 2*(-a*b^2)^(2/3)*x^2 + (-a*b^2)^(1/3)*a)*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x)/(b*x^3 + a)) + 5*((b^5*c + 5*a*b^4*d - 20*a^2*b^3*e + 44*a^3*b^2*f)*x^6 + a^2*b^3*c + 5*a^3*b^2*d - 20*a^4*b*e + 44*a^5*f + 2*(a*b^4*c + 5*a^2*b^3*d - 20*a^3*b^2*e + 44*a^4*b*f)*x^3)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 10*((b^5*c + 5*a*b^4*d - 20*a^2*b^3*e + 44*a^3*b^2*f)*x^6 + a^2*b^3*c + 5*a^3*b^2*d - 20*a^4*b*e + 44*a^5*f + 2*(a*b^4*c + 5*a^2*b^3*d - 20*a^3*b^2*e + 44*a^4*b*f)*x^3)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^2*b^8*x^6 + 2*a^3*b^7*x^3 + a^4*b^6), 1/270*(54*a^2*b^5*f*x^11 + 27*(5*a^2*b^5*e - 11*a^3*b^4*f)*x^8 + 6*(5*a*b^6*c - 20*a^2*b^5*d + 80*a^3*b^4*e - 176*a^4*b^3*f)*x^5 - 15*(a^2*b^5*c + 5*a^3*b^4*d - 20*a^4*b^3*e + 44*a^5*b^2*f)*x^2 + 30*sqrt(1/3)*(a^3*b^4*c + 5*a^4*b^3*d - 20*a^5*b^2*e + 44*a^6*b*f + (a*b^6*c + 5*a^2*b^5*d - 20*a^3*b^4*e + 44*a^4*b^3*f)*x^6 + 2*(a^2*b^5*c + 5*a^3*b^4*d - 20*a^4*b^3*e + 44*a^5*b^2*f)*x^3)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + 5*((b^5*c + 5*a*b^4*d - 20*a^2*b^3*e + 44*a^3*b^2*f)*x^6 + a^2*b^3*c + 5*a^3*b^2*d - 20*a^4*b*e + 44*a^5*f + 2*(a*b^4*c + 5*a^2*b^3*d - 20*a^3*b^2*e + 44*a^4*b*f)*x^3)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 10*((b^5*c + 5*a*b^4*d - 20*a^2*b^3*e + 44*a^3*b^2*f)*x^6 + a^2*b^3*c + 5*a^3*b^2*d - 20*a^4*b*e + 44*a^5*f + 2*(a*b^4*c + 5*a^2*b^3*d - 20*a^3*b^2*e + 44*a^4*b*f)*x^3)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^2*b^8*x^6 + 2*a^3*b^7*x^3 + a^4*b^6)]","B",0
292,1,1213,0,0.466650," ","integrate(x^3*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[\frac{27 \, a^{3} b^{4} f x^{10} + 54 \, {\left(2 \, a^{3} b^{4} e - 5 \, a^{4} b^{3} f\right)} x^{7} + 3 \, {\left(2 \, a^{2} b^{5} c - 14 \, a^{3} b^{4} d + 98 \, a^{4} b^{3} e - 245 \, a^{5} b^{2} f\right)} x^{4} + 6 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{4} c + 2 \, a^{4} b^{3} d - 14 \, a^{5} b^{2} e + 35 \, a^{6} b f + {\left(a b^{6} c + 2 \, a^{2} b^{5} d - 14 \, a^{3} b^{4} e + 35 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(a^{2} b^{5} c + 2 \, a^{3} b^{4} d - 14 \, a^{4} b^{3} e + 35 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - 2 \, {\left({\left(b^{5} c + 2 \, a b^{4} d - 14 \, a^{2} b^{3} e + 35 \, a^{3} b^{2} f\right)} x^{6} + a^{2} b^{3} c + 2 \, a^{3} b^{2} d - 14 \, a^{4} b e + 35 \, a^{5} f + 2 \, {\left(a b^{4} c + 2 \, a^{2} b^{3} d - 14 \, a^{3} b^{2} e + 35 \, a^{4} b f\right)} x^{3}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 4 \, {\left({\left(b^{5} c + 2 \, a b^{4} d - 14 \, a^{2} b^{3} e + 35 \, a^{3} b^{2} f\right)} x^{6} + a^{2} b^{3} c + 2 \, a^{3} b^{2} d - 14 \, a^{4} b e + 35 \, a^{5} f + 2 \, {\left(a b^{4} c + 2 \, a^{2} b^{3} d - 14 \, a^{3} b^{2} e + 35 \, a^{4} b f\right)} x^{3}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right) - 12 \, {\left(a^{3} b^{4} c + 2 \, a^{4} b^{3} d - 14 \, a^{5} b^{2} e + 35 \, a^{6} b f\right)} x}{108 \, {\left(a^{3} b^{7} x^{6} + 2 \, a^{4} b^{6} x^{3} + a^{5} b^{5}\right)}}, \frac{27 \, a^{3} b^{4} f x^{10} + 54 \, {\left(2 \, a^{3} b^{4} e - 5 \, a^{4} b^{3} f\right)} x^{7} + 3 \, {\left(2 \, a^{2} b^{5} c - 14 \, a^{3} b^{4} d + 98 \, a^{4} b^{3} e - 245 \, a^{5} b^{2} f\right)} x^{4} + 12 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{4} c + 2 \, a^{4} b^{3} d - 14 \, a^{5} b^{2} e + 35 \, a^{6} b f + {\left(a b^{6} c + 2 \, a^{2} b^{5} d - 14 \, a^{3} b^{4} e + 35 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(a^{2} b^{5} c + 2 \, a^{3} b^{4} d - 14 \, a^{4} b^{3} e + 35 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 2 \, {\left({\left(b^{5} c + 2 \, a b^{4} d - 14 \, a^{2} b^{3} e + 35 \, a^{3} b^{2} f\right)} x^{6} + a^{2} b^{3} c + 2 \, a^{3} b^{2} d - 14 \, a^{4} b e + 35 \, a^{5} f + 2 \, {\left(a b^{4} c + 2 \, a^{2} b^{3} d - 14 \, a^{3} b^{2} e + 35 \, a^{4} b f\right)} x^{3}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 4 \, {\left({\left(b^{5} c + 2 \, a b^{4} d - 14 \, a^{2} b^{3} e + 35 \, a^{3} b^{2} f\right)} x^{6} + a^{2} b^{3} c + 2 \, a^{3} b^{2} d - 14 \, a^{4} b e + 35 \, a^{5} f + 2 \, {\left(a b^{4} c + 2 \, a^{2} b^{3} d - 14 \, a^{3} b^{2} e + 35 \, a^{4} b f\right)} x^{3}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right) - 12 \, {\left(a^{3} b^{4} c + 2 \, a^{4} b^{3} d - 14 \, a^{5} b^{2} e + 35 \, a^{6} b f\right)} x}{108 \, {\left(a^{3} b^{7} x^{6} + 2 \, a^{4} b^{6} x^{3} + a^{5} b^{5}\right)}}\right]"," ",0,"[1/108*(27*a^3*b^4*f*x^10 + 54*(2*a^3*b^4*e - 5*a^4*b^3*f)*x^7 + 3*(2*a^2*b^5*c - 14*a^3*b^4*d + 98*a^4*b^3*e - 245*a^5*b^2*f)*x^4 + 6*sqrt(1/3)*(a^3*b^4*c + 2*a^4*b^3*d - 14*a^5*b^2*e + 35*a^6*b*f + (a*b^6*c + 2*a^2*b^5*d - 14*a^3*b^4*e + 35*a^4*b^3*f)*x^6 + 2*(a^2*b^5*c + 2*a^3*b^4*d - 14*a^4*b^3*e + 35*a^5*b^2*f)*x^3)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x^3 - 3*(a^2*b)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^2 + (a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b))/(b*x^3 + a)) - 2*((b^5*c + 2*a*b^4*d - 14*a^2*b^3*e + 35*a^3*b^2*f)*x^6 + a^2*b^3*c + 2*a^3*b^2*d - 14*a^4*b*e + 35*a^5*f + 2*(a*b^4*c + 2*a^2*b^3*d - 14*a^3*b^2*e + 35*a^4*b*f)*x^3)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 4*((b^5*c + 2*a*b^4*d - 14*a^2*b^3*e + 35*a^3*b^2*f)*x^6 + a^2*b^3*c + 2*a^3*b^2*d - 14*a^4*b*e + 35*a^5*f + 2*(a*b^4*c + 2*a^2*b^3*d - 14*a^3*b^2*e + 35*a^4*b*f)*x^3)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)) - 12*(a^3*b^4*c + 2*a^4*b^3*d - 14*a^5*b^2*e + 35*a^6*b*f)*x)/(a^3*b^7*x^6 + 2*a^4*b^6*x^3 + a^5*b^5), 1/108*(27*a^3*b^4*f*x^10 + 54*(2*a^3*b^4*e - 5*a^4*b^3*f)*x^7 + 3*(2*a^2*b^5*c - 14*a^3*b^4*d + 98*a^4*b^3*e - 245*a^5*b^2*f)*x^4 + 12*sqrt(1/3)*(a^3*b^4*c + 2*a^4*b^3*d - 14*a^5*b^2*e + 35*a^6*b*f + (a*b^6*c + 2*a^2*b^5*d - 14*a^3*b^4*e + 35*a^4*b^3*f)*x^6 + 2*(a^2*b^5*c + 2*a^3*b^4*d - 14*a^4*b^3*e + 35*a^5*b^2*f)*x^3)*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) - 2*((b^5*c + 2*a*b^4*d - 14*a^2*b^3*e + 35*a^3*b^2*f)*x^6 + a^2*b^3*c + 2*a^3*b^2*d - 14*a^4*b*e + 35*a^5*f + 2*(a*b^4*c + 2*a^2*b^3*d - 14*a^3*b^2*e + 35*a^4*b*f)*x^3)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 4*((b^5*c + 2*a*b^4*d - 14*a^2*b^3*e + 35*a^3*b^2*f)*x^6 + a^2*b^3*c + 2*a^3*b^2*d - 14*a^4*b*e + 35*a^5*f + 2*(a*b^4*c + 2*a^2*b^3*d - 14*a^3*b^2*e + 35*a^4*b*f)*x^3)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)) - 12*(a^3*b^4*c + 2*a^4*b^3*d - 14*a^5*b^2*e + 35*a^6*b*f)*x)/(a^3*b^7*x^6 + 2*a^4*b^6*x^3 + a^5*b^5)]","B",0
293,1,1158,0,0.444383," ","integrate(x*(f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[\frac{27 \, a^{3} b^{4} f x^{8} + 6 \, {\left(2 \, a b^{6} c + a^{2} b^{5} d - 4 \, a^{3} b^{4} e + 16 \, a^{4} b^{3} f\right)} x^{5} + 3 \, {\left(7 \, a^{2} b^{5} c - a^{3} b^{4} d - 5 \, a^{4} b^{3} e + 20 \, a^{5} b^{2} f\right)} x^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{3} b^{4} c + a^{4} b^{3} d + 5 \, a^{5} b^{2} e - 20 \, a^{6} b f + {\left(2 \, a b^{6} c + a^{2} b^{5} d + 5 \, a^{3} b^{4} e - 20 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(2 \, a^{2} b^{5} c + a^{3} b^{4} d + 5 \, a^{4} b^{3} e - 20 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b - 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(a b^{2}\right)^{\frac{2}{3}} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + {\left({\left(2 \, b^{5} c + a b^{4} d + 5 \, a^{2} b^{3} e - 20 \, a^{3} b^{2} f\right)} x^{6} + 2 \, a^{2} b^{3} c + a^{3} b^{2} d + 5 \, a^{4} b e - 20 \, a^{5} f + 2 \, {\left(2 \, a b^{4} c + a^{2} b^{3} d + 5 \, a^{3} b^{2} e - 20 \, a^{4} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, {\left({\left(2 \, b^{5} c + a b^{4} d + 5 \, a^{2} b^{3} e - 20 \, a^{3} b^{2} f\right)} x^{6} + 2 \, a^{2} b^{3} c + a^{3} b^{2} d + 5 \, a^{4} b e - 20 \, a^{5} f + 2 \, {\left(2 \, a b^{4} c + a^{2} b^{3} d + 5 \, a^{3} b^{2} e - 20 \, a^{4} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right)}{54 \, {\left(a^{3} b^{7} x^{6} + 2 \, a^{4} b^{6} x^{3} + a^{5} b^{5}\right)}}, \frac{27 \, a^{3} b^{4} f x^{8} + 6 \, {\left(2 \, a b^{6} c + a^{2} b^{5} d - 4 \, a^{3} b^{4} e + 16 \, a^{4} b^{3} f\right)} x^{5} + 3 \, {\left(7 \, a^{2} b^{5} c - a^{3} b^{4} d - 5 \, a^{4} b^{3} e + 20 \, a^{5} b^{2} f\right)} x^{2} - 6 \, \sqrt{\frac{1}{3}} {\left(2 \, a^{3} b^{4} c + a^{4} b^{3} d + 5 \, a^{5} b^{2} e - 20 \, a^{6} b f + {\left(2 \, a b^{6} c + a^{2} b^{5} d + 5 \, a^{3} b^{4} e - 20 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(2 \, a^{2} b^{5} c + a^{3} b^{4} d + 5 \, a^{4} b^{3} e - 20 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x - \left(a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + {\left({\left(2 \, b^{5} c + a b^{4} d + 5 \, a^{2} b^{3} e - 20 \, a^{3} b^{2} f\right)} x^{6} + 2 \, a^{2} b^{3} c + a^{3} b^{2} d + 5 \, a^{4} b e - 20 \, a^{5} f + 2 \, {\left(2 \, a b^{4} c + a^{2} b^{3} d + 5 \, a^{3} b^{2} e - 20 \, a^{4} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} - \left(a b^{2}\right)^{\frac{1}{3}} b x + \left(a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, {\left({\left(2 \, b^{5} c + a b^{4} d + 5 \, a^{2} b^{3} e - 20 \, a^{3} b^{2} f\right)} x^{6} + 2 \, a^{2} b^{3} c + a^{3} b^{2} d + 5 \, a^{4} b e - 20 \, a^{5} f + 2 \, {\left(2 \, a b^{4} c + a^{2} b^{3} d + 5 \, a^{3} b^{2} e - 20 \, a^{4} b f\right)} x^{3}\right)} \left(a b^{2}\right)^{\frac{2}{3}} \log\left(b x + \left(a b^{2}\right)^{\frac{1}{3}}\right)}{54 \, {\left(a^{3} b^{7} x^{6} + 2 \, a^{4} b^{6} x^{3} + a^{5} b^{5}\right)}}\right]"," ",0,"[1/54*(27*a^3*b^4*f*x^8 + 6*(2*a*b^6*c + a^2*b^5*d - 4*a^3*b^4*e + 16*a^4*b^3*f)*x^5 + 3*(7*a^2*b^5*c - a^3*b^4*d - 5*a^4*b^3*e + 20*a^5*b^2*f)*x^2 - 3*sqrt(1/3)*(2*a^3*b^4*c + a^4*b^3*d + 5*a^5*b^2*e - 20*a^6*b*f + (2*a*b^6*c + a^2*b^5*d + 5*a^3*b^4*e - 20*a^4*b^3*f)*x^6 + 2*(2*a^2*b^5*c + a^3*b^4*d + 5*a^4*b^3*e - 20*a^5*b^2*f)*x^3)*sqrt(-(a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b - 3*sqrt(1/3)*(a*b*x + 2*(a*b^2)^(2/3)*x^2 - (a*b^2)^(1/3)*a)*sqrt(-(a*b^2)^(1/3)/a) - 3*(a*b^2)^(2/3)*x)/(b*x^3 + a)) + ((2*b^5*c + a*b^4*d + 5*a^2*b^3*e - 20*a^3*b^2*f)*x^6 + 2*a^2*b^3*c + a^3*b^2*d + 5*a^4*b*e - 20*a^5*f + 2*(2*a*b^4*c + a^2*b^3*d + 5*a^3*b^2*e - 20*a^4*b*f)*x^3)*(a*b^2)^(2/3)*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) - 2*((2*b^5*c + a*b^4*d + 5*a^2*b^3*e - 20*a^3*b^2*f)*x^6 + 2*a^2*b^3*c + a^3*b^2*d + 5*a^4*b*e - 20*a^5*f + 2*(2*a*b^4*c + a^2*b^3*d + 5*a^3*b^2*e - 20*a^4*b*f)*x^3)*(a*b^2)^(2/3)*log(b*x + (a*b^2)^(1/3)))/(a^3*b^7*x^6 + 2*a^4*b^6*x^3 + a^5*b^5), 1/54*(27*a^3*b^4*f*x^8 + 6*(2*a*b^6*c + a^2*b^5*d - 4*a^3*b^4*e + 16*a^4*b^3*f)*x^5 + 3*(7*a^2*b^5*c - a^3*b^4*d - 5*a^4*b^3*e + 20*a^5*b^2*f)*x^2 - 6*sqrt(1/3)*(2*a^3*b^4*c + a^4*b^3*d + 5*a^5*b^2*e - 20*a^6*b*f + (2*a*b^6*c + a^2*b^5*d + 5*a^3*b^4*e - 20*a^4*b^3*f)*x^6 + 2*(2*a^2*b^5*c + a^3*b^4*d + 5*a^4*b^3*e - 20*a^5*b^2*f)*x^3)*sqrt((a*b^2)^(1/3)/a)*arctan(-sqrt(1/3)*(2*b*x - (a*b^2)^(1/3))*sqrt((a*b^2)^(1/3)/a)/b) + ((2*b^5*c + a*b^4*d + 5*a^2*b^3*e - 20*a^3*b^2*f)*x^6 + 2*a^2*b^3*c + a^3*b^2*d + 5*a^4*b*e - 20*a^5*f + 2*(2*a*b^4*c + a^2*b^3*d + 5*a^3*b^2*e - 20*a^4*b*f)*x^3)*(a*b^2)^(2/3)*log(b^2*x^2 - (a*b^2)^(1/3)*b*x + (a*b^2)^(2/3)) - 2*((2*b^5*c + a*b^4*d + 5*a^2*b^3*e - 20*a^3*b^2*f)*x^6 + 2*a^2*b^3*c + a^3*b^2*d + 5*a^4*b*e - 20*a^5*f + 2*(2*a*b^4*c + a^2*b^3*d + 5*a^3*b^2*e - 20*a^4*b*f)*x^3)*(a*b^2)^(2/3)*log(b*x + (a*b^2)^(1/3)))/(a^3*b^7*x^6 + 2*a^4*b^6*x^3 + a^5*b^5)]","B",0
294,1,1184,0,0.453410," ","integrate((f*x^9+e*x^6+d*x^3+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[\frac{54 \, a^{4} b^{3} f x^{7} + 3 \, {\left(5 \, a^{2} b^{5} c + a^{3} b^{4} d - 7 \, a^{4} b^{3} e + 49 \, a^{5} b^{2} f\right)} x^{4} - 3 \, \sqrt{\frac{1}{3}} {\left(5 \, a^{3} b^{4} c + a^{4} b^{3} d + 2 \, a^{5} b^{2} e - 14 \, a^{6} b f + {\left(5 \, a b^{6} c + a^{2} b^{5} d + 2 \, a^{3} b^{4} e - 14 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(5 \, a^{2} b^{5} c + a^{3} b^{4} d + 2 \, a^{4} b^{3} e - 14 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} + 3 \, \left(-a^{2} b\right)^{\frac{1}{3}} a x - a^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - {\left({\left(5 \, b^{5} c + a b^{4} d + 2 \, a^{2} b^{3} e - 14 \, a^{3} b^{2} f\right)} x^{6} + 5 \, a^{2} b^{3} c + a^{3} b^{2} d + 2 \, a^{4} b e - 14 \, a^{5} f + 2 \, {\left(5 \, a b^{4} c + a^{2} b^{3} d + 2 \, a^{3} b^{2} e - 14 \, a^{4} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) + 2 \, {\left({\left(5 \, b^{5} c + a b^{4} d + 2 \, a^{2} b^{3} e - 14 \, a^{3} b^{2} f\right)} x^{6} + 5 \, a^{2} b^{3} c + a^{3} b^{2} d + 2 \, a^{4} b e - 14 \, a^{5} f + 2 \, {\left(5 \, a b^{4} c + a^{2} b^{3} d + 2 \, a^{3} b^{2} e - 14 \, a^{4} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right) + 6 \, {\left(4 \, a^{3} b^{4} c - a^{4} b^{3} d - 2 \, a^{5} b^{2} e + 14 \, a^{6} b f\right)} x}{54 \, {\left(a^{4} b^{6} x^{6} + 2 \, a^{5} b^{5} x^{3} + a^{6} b^{4}\right)}}, \frac{54 \, a^{4} b^{3} f x^{7} + 3 \, {\left(5 \, a^{2} b^{5} c + a^{3} b^{4} d - 7 \, a^{4} b^{3} e + 49 \, a^{5} b^{2} f\right)} x^{4} + 6 \, \sqrt{\frac{1}{3}} {\left(5 \, a^{3} b^{4} c + a^{4} b^{3} d + 2 \, a^{5} b^{2} e - 14 \, a^{6} b f + {\left(5 \, a b^{6} c + a^{2} b^{5} d + 2 \, a^{3} b^{4} e - 14 \, a^{4} b^{3} f\right)} x^{6} + 2 \, {\left(5 \, a^{2} b^{5} c + a^{3} b^{4} d + 2 \, a^{4} b^{3} e - 14 \, a^{5} b^{2} f\right)} x^{3}\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-a^{2} b\right)^{\frac{2}{3}} x + \left(-a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(-a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - {\left({\left(5 \, b^{5} c + a b^{4} d + 2 \, a^{2} b^{3} e - 14 \, a^{3} b^{2} f\right)} x^{6} + 5 \, a^{2} b^{3} c + a^{3} b^{2} d + 2 \, a^{4} b e - 14 \, a^{5} f + 2 \, {\left(5 \, a b^{4} c + a^{2} b^{3} d + 2 \, a^{3} b^{2} e - 14 \, a^{4} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(-a^{2} b\right)^{\frac{2}{3}} x - \left(-a^{2} b\right)^{\frac{1}{3}} a\right) + 2 \, {\left({\left(5 \, b^{5} c + a b^{4} d + 2 \, a^{2} b^{3} e - 14 \, a^{3} b^{2} f\right)} x^{6} + 5 \, a^{2} b^{3} c + a^{3} b^{2} d + 2 \, a^{4} b e - 14 \, a^{5} f + 2 \, {\left(5 \, a b^{4} c + a^{2} b^{3} d + 2 \, a^{3} b^{2} e - 14 \, a^{4} b f\right)} x^{3}\right)} \left(-a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(-a^{2} b\right)^{\frac{2}{3}}\right) + 6 \, {\left(4 \, a^{3} b^{4} c - a^{4} b^{3} d - 2 \, a^{5} b^{2} e + 14 \, a^{6} b f\right)} x}{54 \, {\left(a^{4} b^{6} x^{6} + 2 \, a^{5} b^{5} x^{3} + a^{6} b^{4}\right)}}\right]"," ",0,"[1/54*(54*a^4*b^3*f*x^7 + 3*(5*a^2*b^5*c + a^3*b^4*d - 7*a^4*b^3*e + 49*a^5*b^2*f)*x^4 - 3*sqrt(1/3)*(5*a^3*b^4*c + a^4*b^3*d + 2*a^5*b^2*e - 14*a^6*b*f + (5*a*b^6*c + a^2*b^5*d + 2*a^3*b^4*e - 14*a^4*b^3*f)*x^6 + 2*(5*a^2*b^5*c + a^3*b^4*d + 2*a^4*b^3*e - 14*a^5*b^2*f)*x^3)*sqrt((-a^2*b)^(1/3)/b)*log((2*a*b*x^3 + 3*(-a^2*b)^(1/3)*a*x - a^2 - 3*sqrt(1/3)*(2*a*b*x^2 + (-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt((-a^2*b)^(1/3)/b))/(b*x^3 + a)) - ((5*b^5*c + a*b^4*d + 2*a^2*b^3*e - 14*a^3*b^2*f)*x^6 + 5*a^2*b^3*c + a^3*b^2*d + 2*a^4*b*e - 14*a^5*f + 2*(5*a*b^4*c + a^2*b^3*d + 2*a^3*b^2*e - 14*a^4*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) + 2*((5*b^5*c + a*b^4*d + 2*a^2*b^3*e - 14*a^3*b^2*f)*x^6 + 5*a^2*b^3*c + a^3*b^2*d + 2*a^4*b*e - 14*a^5*f + 2*(5*a*b^4*c + a^2*b^3*d + 2*a^3*b^2*e - 14*a^4*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x + (-a^2*b)^(2/3)) + 6*(4*a^3*b^4*c - a^4*b^3*d - 2*a^5*b^2*e + 14*a^6*b*f)*x)/(a^4*b^6*x^6 + 2*a^5*b^5*x^3 + a^6*b^4), 1/54*(54*a^4*b^3*f*x^7 + 3*(5*a^2*b^5*c + a^3*b^4*d - 7*a^4*b^3*e + 49*a^5*b^2*f)*x^4 + 6*sqrt(1/3)*(5*a^3*b^4*c + a^4*b^3*d + 2*a^5*b^2*e - 14*a^6*b*f + (5*a*b^6*c + a^2*b^5*d + 2*a^3*b^4*e - 14*a^4*b^3*f)*x^6 + 2*(5*a^2*b^5*c + a^3*b^4*d + 2*a^4*b^3*e - 14*a^5*b^2*f)*x^3)*sqrt(-(-a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(-a^2*b)^(2/3)*x + (-a^2*b)^(1/3)*a)*sqrt(-(-a^2*b)^(1/3)/b)/a^2) - ((5*b^5*c + a*b^4*d + 2*a^2*b^3*e - 14*a^3*b^2*f)*x^6 + 5*a^2*b^3*c + a^3*b^2*d + 2*a^4*b*e - 14*a^5*f + 2*(5*a*b^4*c + a^2*b^3*d + 2*a^3*b^2*e - 14*a^4*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x^2 - (-a^2*b)^(2/3)*x - (-a^2*b)^(1/3)*a) + 2*((5*b^5*c + a*b^4*d + 2*a^2*b^3*e - 14*a^3*b^2*f)*x^6 + 5*a^2*b^3*c + a^3*b^2*d + 2*a^4*b*e - 14*a^5*f + 2*(5*a*b^4*c + a^2*b^3*d + 2*a^3*b^2*e - 14*a^4*b*f)*x^3)*(-a^2*b)^(2/3)*log(a*b*x + (-a^2*b)^(2/3)) + 6*(4*a^3*b^4*c - a^4*b^3*d - 2*a^5*b^2*e + 14*a^6*b*f)*x)/(a^4*b^6*x^6 + 2*a^5*b^5*x^3 + a^6*b^4)]","B",0
295,1,1206,0,0.458706," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^2/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[-\frac{54 \, a^{3} b^{4} c + 6 \, {\left(14 \, a b^{6} c - 2 \, a^{2} b^{5} d - a^{3} b^{4} e + 4 \, a^{4} b^{3} f\right)} x^{6} + 3 \, {\left(49 \, a^{2} b^{5} c - 7 \, a^{3} b^{4} d + a^{4} b^{3} e + 5 \, a^{5} b^{2} f\right)} x^{3} + 3 \, \sqrt{\frac{1}{3}} {\left({\left(14 \, a b^{6} c - 2 \, a^{2} b^{5} d - a^{3} b^{4} e - 5 \, a^{4} b^{3} f\right)} x^{7} + 2 \, {\left(14 \, a^{2} b^{5} c - 2 \, a^{3} b^{4} d - a^{4} b^{3} e - 5 \, a^{5} b^{2} f\right)} x^{4} + {\left(14 \, a^{3} b^{4} c - 2 \, a^{4} b^{3} d - a^{5} b^{2} e - 5 \, a^{6} b f\right)} x\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + {\left({\left(14 \, b^{5} c - 2 \, a b^{4} d - a^{2} b^{3} e - 5 \, a^{3} b^{2} f\right)} x^{7} + 2 \, {\left(14 \, a b^{4} c - 2 \, a^{2} b^{3} d - a^{3} b^{2} e - 5 \, a^{4} b f\right)} x^{4} + {\left(14 \, a^{2} b^{3} c - 2 \, a^{3} b^{2} d - a^{4} b e - 5 \, a^{5} f\right)} x\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, {\left({\left(14 \, b^{5} c - 2 \, a b^{4} d - a^{2} b^{3} e - 5 \, a^{3} b^{2} f\right)} x^{7} + 2 \, {\left(14 \, a b^{4} c - 2 \, a^{2} b^{3} d - a^{3} b^{2} e - 5 \, a^{4} b f\right)} x^{4} + {\left(14 \, a^{2} b^{3} c - 2 \, a^{3} b^{2} d - a^{4} b e - 5 \, a^{5} f\right)} x\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{54 \, {\left(a^{4} b^{6} x^{7} + 2 \, a^{5} b^{5} x^{4} + a^{6} b^{4} x\right)}}, -\frac{54 \, a^{3} b^{4} c + 6 \, {\left(14 \, a b^{6} c - 2 \, a^{2} b^{5} d - a^{3} b^{4} e + 4 \, a^{4} b^{3} f\right)} x^{6} + 3 \, {\left(49 \, a^{2} b^{5} c - 7 \, a^{3} b^{4} d + a^{4} b^{3} e + 5 \, a^{5} b^{2} f\right)} x^{3} + 6 \, \sqrt{\frac{1}{3}} {\left({\left(14 \, a b^{6} c - 2 \, a^{2} b^{5} d - a^{3} b^{4} e - 5 \, a^{4} b^{3} f\right)} x^{7} + 2 \, {\left(14 \, a^{2} b^{5} c - 2 \, a^{3} b^{4} d - a^{4} b^{3} e - 5 \, a^{5} b^{2} f\right)} x^{4} + {\left(14 \, a^{3} b^{4} c - 2 \, a^{4} b^{3} d - a^{5} b^{2} e - 5 \, a^{6} b f\right)} x\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + {\left({\left(14 \, b^{5} c - 2 \, a b^{4} d - a^{2} b^{3} e - 5 \, a^{3} b^{2} f\right)} x^{7} + 2 \, {\left(14 \, a b^{4} c - 2 \, a^{2} b^{3} d - a^{3} b^{2} e - 5 \, a^{4} b f\right)} x^{4} + {\left(14 \, a^{2} b^{3} c - 2 \, a^{3} b^{2} d - a^{4} b e - 5 \, a^{5} f\right)} x\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, {\left({\left(14 \, b^{5} c - 2 \, a b^{4} d - a^{2} b^{3} e - 5 \, a^{3} b^{2} f\right)} x^{7} + 2 \, {\left(14 \, a b^{4} c - 2 \, a^{2} b^{3} d - a^{3} b^{2} e - 5 \, a^{4} b f\right)} x^{4} + {\left(14 \, a^{2} b^{3} c - 2 \, a^{3} b^{2} d - a^{4} b e - 5 \, a^{5} f\right)} x\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{54 \, {\left(a^{4} b^{6} x^{7} + 2 \, a^{5} b^{5} x^{4} + a^{6} b^{4} x\right)}}\right]"," ",0,"[-1/54*(54*a^3*b^4*c + 6*(14*a*b^6*c - 2*a^2*b^5*d - a^3*b^4*e + 4*a^4*b^3*f)*x^6 + 3*(49*a^2*b^5*c - 7*a^3*b^4*d + a^4*b^3*e + 5*a^5*b^2*f)*x^3 + 3*sqrt(1/3)*((14*a*b^6*c - 2*a^2*b^5*d - a^3*b^4*e - 5*a^4*b^3*f)*x^7 + 2*(14*a^2*b^5*c - 2*a^3*b^4*d - a^4*b^3*e - 5*a^5*b^2*f)*x^4 + (14*a^3*b^4*c - 2*a^4*b^3*d - a^5*b^2*e - 5*a^6*b*f)*x)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b + 3*sqrt(1/3)*(a*b*x + 2*(-a*b^2)^(2/3)*x^2 + (-a*b^2)^(1/3)*a)*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x)/(b*x^3 + a)) + ((14*b^5*c - 2*a*b^4*d - a^2*b^3*e - 5*a^3*b^2*f)*x^7 + 2*(14*a*b^4*c - 2*a^2*b^3*d - a^3*b^2*e - 5*a^4*b*f)*x^4 + (14*a^2*b^3*c - 2*a^3*b^2*d - a^4*b*e - 5*a^5*f)*x)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 2*((14*b^5*c - 2*a*b^4*d - a^2*b^3*e - 5*a^3*b^2*f)*x^7 + 2*(14*a*b^4*c - 2*a^2*b^3*d - a^3*b^2*e - 5*a^4*b*f)*x^4 + (14*a^2*b^3*c - 2*a^3*b^2*d - a^4*b*e - 5*a^5*f)*x)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^4*b^6*x^7 + 2*a^5*b^5*x^4 + a^6*b^4*x), -1/54*(54*a^3*b^4*c + 6*(14*a*b^6*c - 2*a^2*b^5*d - a^3*b^4*e + 4*a^4*b^3*f)*x^6 + 3*(49*a^2*b^5*c - 7*a^3*b^4*d + a^4*b^3*e + 5*a^5*b^2*f)*x^3 + 6*sqrt(1/3)*((14*a*b^6*c - 2*a^2*b^5*d - a^3*b^4*e - 5*a^4*b^3*f)*x^7 + 2*(14*a^2*b^5*c - 2*a^3*b^4*d - a^4*b^3*e - 5*a^5*b^2*f)*x^4 + (14*a^3*b^4*c - 2*a^4*b^3*d - a^5*b^2*e - 5*a^6*b*f)*x)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + ((14*b^5*c - 2*a*b^4*d - a^2*b^3*e - 5*a^3*b^2*f)*x^7 + 2*(14*a*b^4*c - 2*a^2*b^3*d - a^3*b^2*e - 5*a^4*b*f)*x^4 + (14*a^2*b^3*c - 2*a^3*b^2*d - a^4*b*e - 5*a^5*f)*x)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 2*((14*b^5*c - 2*a*b^4*d - a^2*b^3*e - 5*a^3*b^2*f)*x^7 + 2*(14*a*b^4*c - 2*a^2*b^3*d - a^3*b^2*e - 5*a^4*b*f)*x^4 + (14*a^2*b^3*c - 2*a^3*b^2*d - a^4*b*e - 5*a^5*f)*x)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^4*b^6*x^7 + 2*a^5*b^5*x^4 + a^6*b^4*x)]","B",0
296,1,1217,0,0.462976," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^3/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[-\frac{27 \, a^{4} b^{3} c + 3 \, {\left(20 \, a^{2} b^{5} c - 5 \, a^{3} b^{4} d - a^{4} b^{3} e + 7 \, a^{5} b^{2} f\right)} x^{6} + 6 \, {\left(16 \, a^{3} b^{4} c - 4 \, a^{4} b^{3} d + a^{5} b^{2} e + 2 \, a^{6} b f\right)} x^{3} + 3 \, \sqrt{\frac{1}{3}} {\left({\left(20 \, a b^{6} c - 5 \, a^{2} b^{5} d - a^{3} b^{4} e - 2 \, a^{4} b^{3} f\right)} x^{8} + 2 \, {\left(20 \, a^{2} b^{5} c - 5 \, a^{3} b^{4} d - a^{4} b^{3} e - 2 \, a^{5} b^{2} f\right)} x^{5} + {\left(20 \, a^{3} b^{4} c - 5 \, a^{4} b^{3} d - a^{5} b^{2} e - 2 \, a^{6} b f\right)} x^{2}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - {\left({\left(20 \, b^{5} c - 5 \, a b^{4} d - a^{2} b^{3} e - 2 \, a^{3} b^{2} f\right)} x^{8} + 2 \, {\left(20 \, a b^{4} c - 5 \, a^{2} b^{3} d - a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{5} + {\left(20 \, a^{2} b^{3} c - 5 \, a^{3} b^{2} d - a^{4} b e - 2 \, a^{5} f\right)} x^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 2 \, {\left({\left(20 \, b^{5} c - 5 \, a b^{4} d - a^{2} b^{3} e - 2 \, a^{3} b^{2} f\right)} x^{8} + 2 \, {\left(20 \, a b^{4} c - 5 \, a^{2} b^{3} d - a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{5} + {\left(20 \, a^{2} b^{3} c - 5 \, a^{3} b^{2} d - a^{4} b e - 2 \, a^{5} f\right)} x^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{54 \, {\left(a^{5} b^{5} x^{8} + 2 \, a^{6} b^{4} x^{5} + a^{7} b^{3} x^{2}\right)}}, -\frac{27 \, a^{4} b^{3} c + 3 \, {\left(20 \, a^{2} b^{5} c - 5 \, a^{3} b^{4} d - a^{4} b^{3} e + 7 \, a^{5} b^{2} f\right)} x^{6} + 6 \, {\left(16 \, a^{3} b^{4} c - 4 \, a^{4} b^{3} d + a^{5} b^{2} e + 2 \, a^{6} b f\right)} x^{3} + 6 \, \sqrt{\frac{1}{3}} {\left({\left(20 \, a b^{6} c - 5 \, a^{2} b^{5} d - a^{3} b^{4} e - 2 \, a^{4} b^{3} f\right)} x^{8} + 2 \, {\left(20 \, a^{2} b^{5} c - 5 \, a^{3} b^{4} d - a^{4} b^{3} e - 2 \, a^{5} b^{2} f\right)} x^{5} + {\left(20 \, a^{3} b^{4} c - 5 \, a^{4} b^{3} d - a^{5} b^{2} e - 2 \, a^{6} b f\right)} x^{2}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - {\left({\left(20 \, b^{5} c - 5 \, a b^{4} d - a^{2} b^{3} e - 2 \, a^{3} b^{2} f\right)} x^{8} + 2 \, {\left(20 \, a b^{4} c - 5 \, a^{2} b^{3} d - a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{5} + {\left(20 \, a^{2} b^{3} c - 5 \, a^{3} b^{2} d - a^{4} b e - 2 \, a^{5} f\right)} x^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 2 \, {\left({\left(20 \, b^{5} c - 5 \, a b^{4} d - a^{2} b^{3} e - 2 \, a^{3} b^{2} f\right)} x^{8} + 2 \, {\left(20 \, a b^{4} c - 5 \, a^{2} b^{3} d - a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{5} + {\left(20 \, a^{2} b^{3} c - 5 \, a^{3} b^{2} d - a^{4} b e - 2 \, a^{5} f\right)} x^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{54 \, {\left(a^{5} b^{5} x^{8} + 2 \, a^{6} b^{4} x^{5} + a^{7} b^{3} x^{2}\right)}}\right]"," ",0,"[-1/54*(27*a^4*b^3*c + 3*(20*a^2*b^5*c - 5*a^3*b^4*d - a^4*b^3*e + 7*a^5*b^2*f)*x^6 + 6*(16*a^3*b^4*c - 4*a^4*b^3*d + a^5*b^2*e + 2*a^6*b*f)*x^3 + 3*sqrt(1/3)*((20*a*b^6*c - 5*a^2*b^5*d - a^3*b^4*e - 2*a^4*b^3*f)*x^8 + 2*(20*a^2*b^5*c - 5*a^3*b^4*d - a^4*b^3*e - 2*a^5*b^2*f)*x^5 + (20*a^3*b^4*c - 5*a^4*b^3*d - a^5*b^2*e - 2*a^6*b*f)*x^2)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x^3 - 3*(a^2*b)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^2 + (a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b))/(b*x^3 + a)) - ((20*b^5*c - 5*a*b^4*d - a^2*b^3*e - 2*a^3*b^2*f)*x^8 + 2*(20*a*b^4*c - 5*a^2*b^3*d - a^3*b^2*e - 2*a^4*b*f)*x^5 + (20*a^2*b^3*c - 5*a^3*b^2*d - a^4*b*e - 2*a^5*f)*x^2)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 2*((20*b^5*c - 5*a*b^4*d - a^2*b^3*e - 2*a^3*b^2*f)*x^8 + 2*(20*a*b^4*c - 5*a^2*b^3*d - a^3*b^2*e - 2*a^4*b*f)*x^5 + (20*a^2*b^3*c - 5*a^3*b^2*d - a^4*b*e - 2*a^5*f)*x^2)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)))/(a^5*b^5*x^8 + 2*a^6*b^4*x^5 + a^7*b^3*x^2), -1/54*(27*a^4*b^3*c + 3*(20*a^2*b^5*c - 5*a^3*b^4*d - a^4*b^3*e + 7*a^5*b^2*f)*x^6 + 6*(16*a^3*b^4*c - 4*a^4*b^3*d + a^5*b^2*e + 2*a^6*b*f)*x^3 + 6*sqrt(1/3)*((20*a*b^6*c - 5*a^2*b^5*d - a^3*b^4*e - 2*a^4*b^3*f)*x^8 + 2*(20*a^2*b^5*c - 5*a^3*b^4*d - a^4*b^3*e - 2*a^5*b^2*f)*x^5 + (20*a^3*b^4*c - 5*a^4*b^3*d - a^5*b^2*e - 2*a^6*b*f)*x^2)*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) - ((20*b^5*c - 5*a*b^4*d - a^2*b^3*e - 2*a^3*b^2*f)*x^8 + 2*(20*a*b^4*c - 5*a^2*b^3*d - a^3*b^2*e - 2*a^4*b*f)*x^5 + (20*a^2*b^3*c - 5*a^3*b^2*d - a^4*b*e - 2*a^5*f)*x^2)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 2*((20*b^5*c - 5*a*b^4*d - a^2*b^3*e - 2*a^3*b^2*f)*x^8 + 2*(20*a*b^4*c - 5*a^2*b^3*d - a^3*b^2*e - 2*a^4*b*f)*x^5 + (20*a^2*b^3*c - 5*a^3*b^2*d - a^4*b*e - 2*a^5*f)*x^2)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)))/(a^5*b^5*x^8 + 2*a^6*b^4*x^5 + a^7*b^3*x^2)]","B",0
297,1,1254,0,0.462530," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^5/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[\frac{12 \, {\left(35 \, a b^{6} c - 14 \, a^{2} b^{5} d + 2 \, a^{3} b^{4} e + a^{4} b^{3} f\right)} x^{9} - 27 \, a^{4} b^{3} c + 3 \, {\left(245 \, a^{2} b^{5} c - 98 \, a^{3} b^{4} d + 14 \, a^{4} b^{3} e - 2 \, a^{5} b^{2} f\right)} x^{6} + 54 \, {\left(5 \, a^{3} b^{4} c - 2 \, a^{4} b^{3} d\right)} x^{3} + 6 \, \sqrt{\frac{1}{3}} {\left({\left(35 \, a b^{6} c - 14 \, a^{2} b^{5} d + 2 \, a^{3} b^{4} e + a^{4} b^{3} f\right)} x^{10} + 2 \, {\left(35 \, a^{2} b^{5} c - 14 \, a^{3} b^{4} d + 2 \, a^{4} b^{3} e + a^{5} b^{2} f\right)} x^{7} + {\left(35 \, a^{3} b^{4} c - 14 \, a^{4} b^{3} d + 2 \, a^{5} b^{2} e + a^{6} b f\right)} x^{4}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + 2 \, {\left({\left(35 \, b^{5} c - 14 \, a b^{4} d + 2 \, a^{2} b^{3} e + a^{3} b^{2} f\right)} x^{10} + 2 \, {\left(35 \, a b^{4} c - 14 \, a^{2} b^{3} d + 2 \, a^{3} b^{2} e + a^{4} b f\right)} x^{7} + {\left(35 \, a^{2} b^{3} c - 14 \, a^{3} b^{2} d + 2 \, a^{4} b e + a^{5} f\right)} x^{4}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 4 \, {\left({\left(35 \, b^{5} c - 14 \, a b^{4} d + 2 \, a^{2} b^{3} e + a^{3} b^{2} f\right)} x^{10} + 2 \, {\left(35 \, a b^{4} c - 14 \, a^{2} b^{3} d + 2 \, a^{3} b^{2} e + a^{4} b f\right)} x^{7} + {\left(35 \, a^{2} b^{3} c - 14 \, a^{3} b^{2} d + 2 \, a^{4} b e + a^{5} f\right)} x^{4}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{108 \, {\left(a^{5} b^{5} x^{10} + 2 \, a^{6} b^{4} x^{7} + a^{7} b^{3} x^{4}\right)}}, \frac{12 \, {\left(35 \, a b^{6} c - 14 \, a^{2} b^{5} d + 2 \, a^{3} b^{4} e + a^{4} b^{3} f\right)} x^{9} - 27 \, a^{4} b^{3} c + 3 \, {\left(245 \, a^{2} b^{5} c - 98 \, a^{3} b^{4} d + 14 \, a^{4} b^{3} e - 2 \, a^{5} b^{2} f\right)} x^{6} + 54 \, {\left(5 \, a^{3} b^{4} c - 2 \, a^{4} b^{3} d\right)} x^{3} + 12 \, \sqrt{\frac{1}{3}} {\left({\left(35 \, a b^{6} c - 14 \, a^{2} b^{5} d + 2 \, a^{3} b^{4} e + a^{4} b^{3} f\right)} x^{10} + 2 \, {\left(35 \, a^{2} b^{5} c - 14 \, a^{3} b^{4} d + 2 \, a^{4} b^{3} e + a^{5} b^{2} f\right)} x^{7} + {\left(35 \, a^{3} b^{4} c - 14 \, a^{4} b^{3} d + 2 \, a^{5} b^{2} e + a^{6} b f\right)} x^{4}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 2 \, {\left({\left(35 \, b^{5} c - 14 \, a b^{4} d + 2 \, a^{2} b^{3} e + a^{3} b^{2} f\right)} x^{10} + 2 \, {\left(35 \, a b^{4} c - 14 \, a^{2} b^{3} d + 2 \, a^{3} b^{2} e + a^{4} b f\right)} x^{7} + {\left(35 \, a^{2} b^{3} c - 14 \, a^{3} b^{2} d + 2 \, a^{4} b e + a^{5} f\right)} x^{4}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 4 \, {\left({\left(35 \, b^{5} c - 14 \, a b^{4} d + 2 \, a^{2} b^{3} e + a^{3} b^{2} f\right)} x^{10} + 2 \, {\left(35 \, a b^{4} c - 14 \, a^{2} b^{3} d + 2 \, a^{3} b^{2} e + a^{4} b f\right)} x^{7} + {\left(35 \, a^{2} b^{3} c - 14 \, a^{3} b^{2} d + 2 \, a^{4} b e + a^{5} f\right)} x^{4}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{108 \, {\left(a^{5} b^{5} x^{10} + 2 \, a^{6} b^{4} x^{7} + a^{7} b^{3} x^{4}\right)}}\right]"," ",0,"[1/108*(12*(35*a*b^6*c - 14*a^2*b^5*d + 2*a^3*b^4*e + a^4*b^3*f)*x^9 - 27*a^4*b^3*c + 3*(245*a^2*b^5*c - 98*a^3*b^4*d + 14*a^4*b^3*e - 2*a^5*b^2*f)*x^6 + 54*(5*a^3*b^4*c - 2*a^4*b^3*d)*x^3 + 6*sqrt(1/3)*((35*a*b^6*c - 14*a^2*b^5*d + 2*a^3*b^4*e + a^4*b^3*f)*x^10 + 2*(35*a^2*b^5*c - 14*a^3*b^4*d + 2*a^4*b^3*e + a^5*b^2*f)*x^7 + (35*a^3*b^4*c - 14*a^4*b^3*d + 2*a^5*b^2*e + a^6*b*f)*x^4)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b + 3*sqrt(1/3)*(a*b*x + 2*(-a*b^2)^(2/3)*x^2 + (-a*b^2)^(1/3)*a)*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x)/(b*x^3 + a)) + 2*((35*b^5*c - 14*a*b^4*d + 2*a^2*b^3*e + a^3*b^2*f)*x^10 + 2*(35*a*b^4*c - 14*a^2*b^3*d + 2*a^3*b^2*e + a^4*b*f)*x^7 + (35*a^2*b^3*c - 14*a^3*b^2*d + 2*a^4*b*e + a^5*f)*x^4)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 4*((35*b^5*c - 14*a*b^4*d + 2*a^2*b^3*e + a^3*b^2*f)*x^10 + 2*(35*a*b^4*c - 14*a^2*b^3*d + 2*a^3*b^2*e + a^4*b*f)*x^7 + (35*a^2*b^3*c - 14*a^3*b^2*d + 2*a^4*b*e + a^5*f)*x^4)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^5*b^5*x^10 + 2*a^6*b^4*x^7 + a^7*b^3*x^4), 1/108*(12*(35*a*b^6*c - 14*a^2*b^5*d + 2*a^3*b^4*e + a^4*b^3*f)*x^9 - 27*a^4*b^3*c + 3*(245*a^2*b^5*c - 98*a^3*b^4*d + 14*a^4*b^3*e - 2*a^5*b^2*f)*x^6 + 54*(5*a^3*b^4*c - 2*a^4*b^3*d)*x^3 + 12*sqrt(1/3)*((35*a*b^6*c - 14*a^2*b^5*d + 2*a^3*b^4*e + a^4*b^3*f)*x^10 + 2*(35*a^2*b^5*c - 14*a^3*b^4*d + 2*a^4*b^3*e + a^5*b^2*f)*x^7 + (35*a^3*b^4*c - 14*a^4*b^3*d + 2*a^5*b^2*e + a^6*b*f)*x^4)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + 2*((35*b^5*c - 14*a*b^4*d + 2*a^2*b^3*e + a^3*b^2*f)*x^10 + 2*(35*a*b^4*c - 14*a^2*b^3*d + 2*a^3*b^2*e + a^4*b*f)*x^7 + (35*a^2*b^3*c - 14*a^3*b^2*d + 2*a^4*b*e + a^5*f)*x^4)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 4*((35*b^5*c - 14*a*b^4*d + 2*a^2*b^3*e + a^3*b^2*f)*x^10 + 2*(35*a*b^4*c - 14*a^2*b^3*d + 2*a^3*b^2*e + a^4*b*f)*x^7 + (35*a^2*b^3*c - 14*a^3*b^2*d + 2*a^4*b*e + a^5*f)*x^4)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^5*b^5*x^10 + 2*a^6*b^4*x^7 + a^7*b^3*x^4)]","B",0
298,1,1247,0,0.465621," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^6/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(44 \, a^{2} b^{5} c - 20 \, a^{3} b^{4} d + 5 \, a^{4} b^{3} e + a^{5} b^{2} f\right)} x^{9} - 54 \, a^{5} b^{2} c + 6 \, {\left(176 \, a^{3} b^{4} c - 80 \, a^{4} b^{3} d + 20 \, a^{5} b^{2} e - 5 \, a^{6} b f\right)} x^{6} + 27 \, {\left(11 \, a^{4} b^{3} c - 5 \, a^{5} b^{2} d\right)} x^{3} + 15 \, \sqrt{\frac{1}{3}} {\left({\left(44 \, a b^{6} c - 20 \, a^{2} b^{5} d + 5 \, a^{3} b^{4} e + a^{4} b^{3} f\right)} x^{11} + 2 \, {\left(44 \, a^{2} b^{5} c - 20 \, a^{3} b^{4} d + 5 \, a^{4} b^{3} e + a^{5} b^{2} f\right)} x^{8} + {\left(44 \, a^{3} b^{4} c - 20 \, a^{4} b^{3} d + 5 \, a^{5} b^{2} e + a^{6} b f\right)} x^{5}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - 5 \, {\left({\left(44 \, b^{5} c - 20 \, a b^{4} d + 5 \, a^{2} b^{3} e + a^{3} b^{2} f\right)} x^{11} + 2 \, {\left(44 \, a b^{4} c - 20 \, a^{2} b^{3} d + 5 \, a^{3} b^{2} e + a^{4} b f\right)} x^{8} + {\left(44 \, a^{2} b^{3} c - 20 \, a^{3} b^{2} d + 5 \, a^{4} b e + a^{5} f\right)} x^{5}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 10 \, {\left({\left(44 \, b^{5} c - 20 \, a b^{4} d + 5 \, a^{2} b^{3} e + a^{3} b^{2} f\right)} x^{11} + 2 \, {\left(44 \, a b^{4} c - 20 \, a^{2} b^{3} d + 5 \, a^{3} b^{2} e + a^{4} b f\right)} x^{8} + {\left(44 \, a^{2} b^{3} c - 20 \, a^{3} b^{2} d + 5 \, a^{4} b e + a^{5} f\right)} x^{5}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{270 \, {\left(a^{6} b^{4} x^{11} + 2 \, a^{7} b^{3} x^{8} + a^{8} b^{2} x^{5}\right)}}, \frac{15 \, {\left(44 \, a^{2} b^{5} c - 20 \, a^{3} b^{4} d + 5 \, a^{4} b^{3} e + a^{5} b^{2} f\right)} x^{9} - 54 \, a^{5} b^{2} c + 6 \, {\left(176 \, a^{3} b^{4} c - 80 \, a^{4} b^{3} d + 20 \, a^{5} b^{2} e - 5 \, a^{6} b f\right)} x^{6} + 27 \, {\left(11 \, a^{4} b^{3} c - 5 \, a^{5} b^{2} d\right)} x^{3} + 30 \, \sqrt{\frac{1}{3}} {\left({\left(44 \, a b^{6} c - 20 \, a^{2} b^{5} d + 5 \, a^{3} b^{4} e + a^{4} b^{3} f\right)} x^{11} + 2 \, {\left(44 \, a^{2} b^{5} c - 20 \, a^{3} b^{4} d + 5 \, a^{4} b^{3} e + a^{5} b^{2} f\right)} x^{8} + {\left(44 \, a^{3} b^{4} c - 20 \, a^{4} b^{3} d + 5 \, a^{5} b^{2} e + a^{6} b f\right)} x^{5}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 5 \, {\left({\left(44 \, b^{5} c - 20 \, a b^{4} d + 5 \, a^{2} b^{3} e + a^{3} b^{2} f\right)} x^{11} + 2 \, {\left(44 \, a b^{4} c - 20 \, a^{2} b^{3} d + 5 \, a^{3} b^{2} e + a^{4} b f\right)} x^{8} + {\left(44 \, a^{2} b^{3} c - 20 \, a^{3} b^{2} d + 5 \, a^{4} b e + a^{5} f\right)} x^{5}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 10 \, {\left({\left(44 \, b^{5} c - 20 \, a b^{4} d + 5 \, a^{2} b^{3} e + a^{3} b^{2} f\right)} x^{11} + 2 \, {\left(44 \, a b^{4} c - 20 \, a^{2} b^{3} d + 5 \, a^{3} b^{2} e + a^{4} b f\right)} x^{8} + {\left(44 \, a^{2} b^{3} c - 20 \, a^{3} b^{2} d + 5 \, a^{4} b e + a^{5} f\right)} x^{5}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{270 \, {\left(a^{6} b^{4} x^{11} + 2 \, a^{7} b^{3} x^{8} + a^{8} b^{2} x^{5}\right)}}\right]"," ",0,"[1/270*(15*(44*a^2*b^5*c - 20*a^3*b^4*d + 5*a^4*b^3*e + a^5*b^2*f)*x^9 - 54*a^5*b^2*c + 6*(176*a^3*b^4*c - 80*a^4*b^3*d + 20*a^5*b^2*e - 5*a^6*b*f)*x^6 + 27*(11*a^4*b^3*c - 5*a^5*b^2*d)*x^3 + 15*sqrt(1/3)*((44*a*b^6*c - 20*a^2*b^5*d + 5*a^3*b^4*e + a^4*b^3*f)*x^11 + 2*(44*a^2*b^5*c - 20*a^3*b^4*d + 5*a^4*b^3*e + a^5*b^2*f)*x^8 + (44*a^3*b^4*c - 20*a^4*b^3*d + 5*a^5*b^2*e + a^6*b*f)*x^5)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x^3 - 3*(a^2*b)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^2 + (a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b))/(b*x^3 + a)) - 5*((44*b^5*c - 20*a*b^4*d + 5*a^2*b^3*e + a^3*b^2*f)*x^11 + 2*(44*a*b^4*c - 20*a^2*b^3*d + 5*a^3*b^2*e + a^4*b*f)*x^8 + (44*a^2*b^3*c - 20*a^3*b^2*d + 5*a^4*b*e + a^5*f)*x^5)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 10*((44*b^5*c - 20*a*b^4*d + 5*a^2*b^3*e + a^3*b^2*f)*x^11 + 2*(44*a*b^4*c - 20*a^2*b^3*d + 5*a^3*b^2*e + a^4*b*f)*x^8 + (44*a^2*b^3*c - 20*a^3*b^2*d + 5*a^4*b*e + a^5*f)*x^5)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)))/(a^6*b^4*x^11 + 2*a^7*b^3*x^8 + a^8*b^2*x^5), 1/270*(15*(44*a^2*b^5*c - 20*a^3*b^4*d + 5*a^4*b^3*e + a^5*b^2*f)*x^9 - 54*a^5*b^2*c + 6*(176*a^3*b^4*c - 80*a^4*b^3*d + 20*a^5*b^2*e - 5*a^6*b*f)*x^6 + 27*(11*a^4*b^3*c - 5*a^5*b^2*d)*x^3 + 30*sqrt(1/3)*((44*a*b^6*c - 20*a^2*b^5*d + 5*a^3*b^4*e + a^4*b^3*f)*x^11 + 2*(44*a^2*b^5*c - 20*a^3*b^4*d + 5*a^4*b^3*e + a^5*b^2*f)*x^8 + (44*a^3*b^4*c - 20*a^4*b^3*d + 5*a^5*b^2*e + a^6*b*f)*x^5)*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) - 5*((44*b^5*c - 20*a*b^4*d + 5*a^2*b^3*e + a^3*b^2*f)*x^11 + 2*(44*a*b^4*c - 20*a^2*b^3*d + 5*a^3*b^2*e + a^4*b*f)*x^8 + (44*a^2*b^3*c - 20*a^3*b^2*d + 5*a^4*b*e + a^5*f)*x^5)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 10*((44*b^5*c - 20*a*b^4*d + 5*a^2*b^3*e + a^3*b^2*f)*x^11 + 2*(44*a*b^4*c - 20*a^2*b^3*d + 5*a^3*b^2*e + a^4*b*f)*x^8 + (44*a^2*b^3*c - 20*a^3*b^2*d + 5*a^4*b*e + a^5*f)*x^5)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)))/(a^6*b^4*x^11 + 2*a^7*b^3*x^8 + a^8*b^2*x^5)]","B",0
299,1,1340,0,0.465332," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^8/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[-\frac{84 \, {\left(65 \, a b^{6} c - 35 \, a^{2} b^{5} d + 14 \, a^{3} b^{4} e - 2 \, a^{4} b^{3} f\right)} x^{12} + 147 \, {\left(65 \, a^{2} b^{5} c - 35 \, a^{3} b^{4} d + 14 \, a^{4} b^{3} e - 2 \, a^{5} b^{2} f\right)} x^{9} + 108 \, a^{5} b^{2} c + 54 \, {\left(65 \, a^{3} b^{4} c - 35 \, a^{4} b^{3} d + 14 \, a^{5} b^{2} e\right)} x^{6} - 27 \, {\left(13 \, a^{4} b^{3} c - 7 \, a^{5} b^{2} d\right)} x^{3} + 42 \, \sqrt{\frac{1}{3}} {\left({\left(65 \, a b^{6} c - 35 \, a^{2} b^{5} d + 14 \, a^{3} b^{4} e - 2 \, a^{4} b^{3} f\right)} x^{13} + 2 \, {\left(65 \, a^{2} b^{5} c - 35 \, a^{3} b^{4} d + 14 \, a^{4} b^{3} e - 2 \, a^{5} b^{2} f\right)} x^{10} + {\left(65 \, a^{3} b^{4} c - 35 \, a^{4} b^{3} d + 14 \, a^{5} b^{2} e - 2 \, a^{6} b f\right)} x^{7}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x^{3} - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x}{b x^{3} + a}\right) + 14 \, {\left({\left(65 \, b^{5} c - 35 \, a b^{4} d + 14 \, a^{2} b^{3} e - 2 \, a^{3} b^{2} f\right)} x^{13} + 2 \, {\left(65 \, a b^{4} c - 35 \, a^{2} b^{3} d + 14 \, a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{10} + {\left(65 \, a^{2} b^{3} c - 35 \, a^{3} b^{2} d + 14 \, a^{4} b e - 2 \, a^{5} f\right)} x^{7}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 28 \, {\left({\left(65 \, b^{5} c - 35 \, a b^{4} d + 14 \, a^{2} b^{3} e - 2 \, a^{3} b^{2} f\right)} x^{13} + 2 \, {\left(65 \, a b^{4} c - 35 \, a^{2} b^{3} d + 14 \, a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{10} + {\left(65 \, a^{2} b^{3} c - 35 \, a^{3} b^{2} d + 14 \, a^{4} b e - 2 \, a^{5} f\right)} x^{7}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{756 \, {\left(a^{6} b^{4} x^{13} + 2 \, a^{7} b^{3} x^{10} + a^{8} b^{2} x^{7}\right)}}, -\frac{84 \, {\left(65 \, a b^{6} c - 35 \, a^{2} b^{5} d + 14 \, a^{3} b^{4} e - 2 \, a^{4} b^{3} f\right)} x^{12} + 147 \, {\left(65 \, a^{2} b^{5} c - 35 \, a^{3} b^{4} d + 14 \, a^{4} b^{3} e - 2 \, a^{5} b^{2} f\right)} x^{9} + 108 \, a^{5} b^{2} c + 54 \, {\left(65 \, a^{3} b^{4} c - 35 \, a^{4} b^{3} d + 14 \, a^{5} b^{2} e\right)} x^{6} - 27 \, {\left(13 \, a^{4} b^{3} c - 7 \, a^{5} b^{2} d\right)} x^{3} + 84 \, \sqrt{\frac{1}{3}} {\left({\left(65 \, a b^{6} c - 35 \, a^{2} b^{5} d + 14 \, a^{3} b^{4} e - 2 \, a^{4} b^{3} f\right)} x^{13} + 2 \, {\left(65 \, a^{2} b^{5} c - 35 \, a^{3} b^{4} d + 14 \, a^{4} b^{3} e - 2 \, a^{5} b^{2} f\right)} x^{10} + {\left(65 \, a^{3} b^{4} c - 35 \, a^{4} b^{3} d + 14 \, a^{5} b^{2} e - 2 \, a^{6} b f\right)} x^{7}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 14 \, {\left({\left(65 \, b^{5} c - 35 \, a b^{4} d + 14 \, a^{2} b^{3} e - 2 \, a^{3} b^{2} f\right)} x^{13} + 2 \, {\left(65 \, a b^{4} c - 35 \, a^{2} b^{3} d + 14 \, a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{10} + {\left(65 \, a^{2} b^{3} c - 35 \, a^{3} b^{2} d + 14 \, a^{4} b e - 2 \, a^{5} f\right)} x^{7}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{2} + \left(-a b^{2}\right)^{\frac{1}{3}} b x + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 28 \, {\left({\left(65 \, b^{5} c - 35 \, a b^{4} d + 14 \, a^{2} b^{3} e - 2 \, a^{3} b^{2} f\right)} x^{13} + 2 \, {\left(65 \, a b^{4} c - 35 \, a^{2} b^{3} d + 14 \, a^{3} b^{2} e - 2 \, a^{4} b f\right)} x^{10} + {\left(65 \, a^{2} b^{3} c - 35 \, a^{3} b^{2} d + 14 \, a^{4} b e - 2 \, a^{5} f\right)} x^{7}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{756 \, {\left(a^{6} b^{4} x^{13} + 2 \, a^{7} b^{3} x^{10} + a^{8} b^{2} x^{7}\right)}}\right]"," ",0,"[-1/756*(84*(65*a*b^6*c - 35*a^2*b^5*d + 14*a^3*b^4*e - 2*a^4*b^3*f)*x^12 + 147*(65*a^2*b^5*c - 35*a^3*b^4*d + 14*a^4*b^3*e - 2*a^5*b^2*f)*x^9 + 108*a^5*b^2*c + 54*(65*a^3*b^4*c - 35*a^4*b^3*d + 14*a^5*b^2*e)*x^6 - 27*(13*a^4*b^3*c - 7*a^5*b^2*d)*x^3 + 42*sqrt(1/3)*((65*a*b^6*c - 35*a^2*b^5*d + 14*a^3*b^4*e - 2*a^4*b^3*f)*x^13 + 2*(65*a^2*b^5*c - 35*a^3*b^4*d + 14*a^4*b^3*e - 2*a^5*b^2*f)*x^10 + (65*a^3*b^4*c - 35*a^4*b^3*d + 14*a^5*b^2*e - 2*a^6*b*f)*x^7)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x^3 - a*b + 3*sqrt(1/3)*(a*b*x + 2*(-a*b^2)^(2/3)*x^2 + (-a*b^2)^(1/3)*a)*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x)/(b*x^3 + a)) + 14*((65*b^5*c - 35*a*b^4*d + 14*a^2*b^3*e - 2*a^3*b^2*f)*x^13 + 2*(65*a*b^4*c - 35*a^2*b^3*d + 14*a^3*b^2*e - 2*a^4*b*f)*x^10 + (65*a^2*b^3*c - 35*a^3*b^2*d + 14*a^4*b*e - 2*a^5*f)*x^7)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 28*((65*b^5*c - 35*a*b^4*d + 14*a^2*b^3*e - 2*a^3*b^2*f)*x^13 + 2*(65*a*b^4*c - 35*a^2*b^3*d + 14*a^3*b^2*e - 2*a^4*b*f)*x^10 + (65*a^2*b^3*c - 35*a^3*b^2*d + 14*a^4*b*e - 2*a^5*f)*x^7)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^6*b^4*x^13 + 2*a^7*b^3*x^10 + a^8*b^2*x^7), -1/756*(84*(65*a*b^6*c - 35*a^2*b^5*d + 14*a^3*b^4*e - 2*a^4*b^3*f)*x^12 + 147*(65*a^2*b^5*c - 35*a^3*b^4*d + 14*a^4*b^3*e - 2*a^5*b^2*f)*x^9 + 108*a^5*b^2*c + 54*(65*a^3*b^4*c - 35*a^4*b^3*d + 14*a^5*b^2*e)*x^6 - 27*(13*a^4*b^3*c - 7*a^5*b^2*d)*x^3 + 84*sqrt(1/3)*((65*a*b^6*c - 35*a^2*b^5*d + 14*a^3*b^4*e - 2*a^4*b^3*f)*x^13 + 2*(65*a^2*b^5*c - 35*a^3*b^4*d + 14*a^4*b^3*e - 2*a^5*b^2*f)*x^10 + (65*a^3*b^4*c - 35*a^4*b^3*d + 14*a^5*b^2*e - 2*a^6*b*f)*x^7)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + 14*((65*b^5*c - 35*a*b^4*d + 14*a^2*b^3*e - 2*a^3*b^2*f)*x^13 + 2*(65*a*b^4*c - 35*a^2*b^3*d + 14*a^3*b^2*e - 2*a^4*b*f)*x^10 + (65*a^2*b^3*c - 35*a^3*b^2*d + 14*a^4*b*e - 2*a^5*f)*x^7)*(-a*b^2)^(2/3)*log(b^2*x^2 + (-a*b^2)^(1/3)*b*x + (-a*b^2)^(2/3)) - 28*((65*b^5*c - 35*a*b^4*d + 14*a^2*b^3*e - 2*a^3*b^2*f)*x^13 + 2*(65*a*b^4*c - 35*a^2*b^3*d + 14*a^3*b^2*e - 2*a^4*b*f)*x^10 + (65*a^2*b^3*c - 35*a^3*b^2*d + 14*a^4*b*e - 2*a^5*f)*x^7)*(-a*b^2)^(2/3)*log(b*x - (-a*b^2)^(1/3)))/(a^6*b^4*x^13 + 2*a^7*b^3*x^10 + a^8*b^2*x^7)]","B",0
300,1,1317,0,0.458820," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^9/(b*x^3+a)^3,x, algorithm=""fricas"")","\left[-\frac{60 \, {\left(77 \, a^{2} b^{5} c - 44 \, a^{3} b^{4} d + 20 \, a^{4} b^{3} e - 5 \, a^{5} b^{2} f\right)} x^{12} + 96 \, {\left(77 \, a^{3} b^{4} c - 44 \, a^{4} b^{3} d + 20 \, a^{5} b^{2} e - 5 \, a^{6} b f\right)} x^{9} + 135 \, a^{6} b c + 27 \, {\left(77 \, a^{4} b^{3} c - 44 \, a^{5} b^{2} d + 20 \, a^{6} b e\right)} x^{6} - 54 \, {\left(7 \, a^{5} b^{2} c - 4 \, a^{6} b d\right)} x^{3} + 60 \, \sqrt{\frac{1}{3}} {\left({\left(77 \, a b^{6} c - 44 \, a^{2} b^{5} d + 20 \, a^{3} b^{4} e - 5 \, a^{4} b^{3} f\right)} x^{14} + 2 \, {\left(77 \, a^{2} b^{5} c - 44 \, a^{3} b^{4} d + 20 \, a^{4} b^{3} e - 5 \, a^{5} b^{2} f\right)} x^{11} + {\left(77 \, a^{3} b^{4} c - 44 \, a^{4} b^{3} d + 20 \, a^{5} b^{2} e - 5 \, a^{6} b f\right)} x^{8}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} + \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{b x^{3} + a}\right) - 20 \, {\left({\left(77 \, b^{5} c - 44 \, a b^{4} d + 20 \, a^{2} b^{3} e - 5 \, a^{3} b^{2} f\right)} x^{14} + 2 \, {\left(77 \, a b^{4} c - 44 \, a^{2} b^{3} d + 20 \, a^{3} b^{2} e - 5 \, a^{4} b f\right)} x^{11} + {\left(77 \, a^{2} b^{3} c - 44 \, a^{3} b^{2} d + 20 \, a^{4} b e - 5 \, a^{5} f\right)} x^{8}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 40 \, {\left({\left(77 \, b^{5} c - 44 \, a b^{4} d + 20 \, a^{2} b^{3} e - 5 \, a^{3} b^{2} f\right)} x^{14} + 2 \, {\left(77 \, a b^{4} c - 44 \, a^{2} b^{3} d + 20 \, a^{3} b^{2} e - 5 \, a^{4} b f\right)} x^{11} + {\left(77 \, a^{2} b^{3} c - 44 \, a^{3} b^{2} d + 20 \, a^{4} b e - 5 \, a^{5} f\right)} x^{8}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{1080 \, {\left(a^{7} b^{3} x^{14} + 2 \, a^{8} b^{2} x^{11} + a^{9} b x^{8}\right)}}, -\frac{60 \, {\left(77 \, a^{2} b^{5} c - 44 \, a^{3} b^{4} d + 20 \, a^{4} b^{3} e - 5 \, a^{5} b^{2} f\right)} x^{12} + 96 \, {\left(77 \, a^{3} b^{4} c - 44 \, a^{4} b^{3} d + 20 \, a^{5} b^{2} e - 5 \, a^{6} b f\right)} x^{9} + 135 \, a^{6} b c + 27 \, {\left(77 \, a^{4} b^{3} c - 44 \, a^{5} b^{2} d + 20 \, a^{6} b e\right)} x^{6} - 54 \, {\left(7 \, a^{5} b^{2} c - 4 \, a^{6} b d\right)} x^{3} + 120 \, \sqrt{\frac{1}{3}} {\left({\left(77 \, a b^{6} c - 44 \, a^{2} b^{5} d + 20 \, a^{3} b^{4} e - 5 \, a^{4} b^{3} f\right)} x^{14} + 2 \, {\left(77 \, a^{2} b^{5} c - 44 \, a^{3} b^{4} d + 20 \, a^{4} b^{3} e - 5 \, a^{5} b^{2} f\right)} x^{11} + {\left(77 \, a^{3} b^{4} c - 44 \, a^{4} b^{3} d + 20 \, a^{5} b^{2} e - 5 \, a^{6} b f\right)} x^{8}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} x - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 20 \, {\left({\left(77 \, b^{5} c - 44 \, a b^{4} d + 20 \, a^{2} b^{3} e - 5 \, a^{3} b^{2} f\right)} x^{14} + 2 \, {\left(77 \, a b^{4} c - 44 \, a^{2} b^{3} d + 20 \, a^{3} b^{2} e - 5 \, a^{4} b f\right)} x^{11} + {\left(77 \, a^{2} b^{3} c - 44 \, a^{3} b^{2} d + 20 \, a^{4} b e - 5 \, a^{5} f\right)} x^{8}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{2} - \left(a^{2} b\right)^{\frac{2}{3}} x + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 40 \, {\left({\left(77 \, b^{5} c - 44 \, a b^{4} d + 20 \, a^{2} b^{3} e - 5 \, a^{3} b^{2} f\right)} x^{14} + 2 \, {\left(77 \, a b^{4} c - 44 \, a^{2} b^{3} d + 20 \, a^{3} b^{2} e - 5 \, a^{4} b f\right)} x^{11} + {\left(77 \, a^{2} b^{3} c - 44 \, a^{3} b^{2} d + 20 \, a^{4} b e - 5 \, a^{5} f\right)} x^{8}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{1080 \, {\left(a^{7} b^{3} x^{14} + 2 \, a^{8} b^{2} x^{11} + a^{9} b x^{8}\right)}}\right]"," ",0,"[-1/1080*(60*(77*a^2*b^5*c - 44*a^3*b^4*d + 20*a^4*b^3*e - 5*a^5*b^2*f)*x^12 + 96*(77*a^3*b^4*c - 44*a^4*b^3*d + 20*a^5*b^2*e - 5*a^6*b*f)*x^9 + 135*a^6*b*c + 27*(77*a^4*b^3*c - 44*a^5*b^2*d + 20*a^6*b*e)*x^6 - 54*(7*a^5*b^2*c - 4*a^6*b*d)*x^3 + 60*sqrt(1/3)*((77*a*b^6*c - 44*a^2*b^5*d + 20*a^3*b^4*e - 5*a^4*b^3*f)*x^14 + 2*(77*a^2*b^5*c - 44*a^3*b^4*d + 20*a^4*b^3*e - 5*a^5*b^2*f)*x^11 + (77*a^3*b^4*c - 44*a^4*b^3*d + 20*a^5*b^2*e - 5*a^6*b*f)*x^8)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x^3 - 3*(a^2*b)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^2 + (a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b))/(b*x^3 + a)) - 20*((77*b^5*c - 44*a*b^4*d + 20*a^2*b^3*e - 5*a^3*b^2*f)*x^14 + 2*(77*a*b^4*c - 44*a^2*b^3*d + 20*a^3*b^2*e - 5*a^4*b*f)*x^11 + (77*a^2*b^3*c - 44*a^3*b^2*d + 20*a^4*b*e - 5*a^5*f)*x^8)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 40*((77*b^5*c - 44*a*b^4*d + 20*a^2*b^3*e - 5*a^3*b^2*f)*x^14 + 2*(77*a*b^4*c - 44*a^2*b^3*d + 20*a^3*b^2*e - 5*a^4*b*f)*x^11 + (77*a^2*b^3*c - 44*a^3*b^2*d + 20*a^4*b*e - 5*a^5*f)*x^8)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)))/(a^7*b^3*x^14 + 2*a^8*b^2*x^11 + a^9*b*x^8), -1/1080*(60*(77*a^2*b^5*c - 44*a^3*b^4*d + 20*a^4*b^3*e - 5*a^5*b^2*f)*x^12 + 96*(77*a^3*b^4*c - 44*a^4*b^3*d + 20*a^5*b^2*e - 5*a^6*b*f)*x^9 + 135*a^6*b*c + 27*(77*a^4*b^3*c - 44*a^5*b^2*d + 20*a^6*b*e)*x^6 - 54*(7*a^5*b^2*c - 4*a^6*b*d)*x^3 + 120*sqrt(1/3)*((77*a*b^6*c - 44*a^2*b^5*d + 20*a^3*b^4*e - 5*a^4*b^3*f)*x^14 + 2*(77*a^2*b^5*c - 44*a^3*b^4*d + 20*a^4*b^3*e - 5*a^5*b^2*f)*x^11 + (77*a^3*b^4*c - 44*a^4*b^3*d + 20*a^5*b^2*e - 5*a^6*b*f)*x^8)*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*x - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) - 20*((77*b^5*c - 44*a*b^4*d + 20*a^2*b^3*e - 5*a^3*b^2*f)*x^14 + 2*(77*a*b^4*c - 44*a^2*b^3*d + 20*a^3*b^2*e - 5*a^4*b*f)*x^11 + (77*a^2*b^3*c - 44*a^3*b^2*d + 20*a^4*b*e - 5*a^5*f)*x^8)*(a^2*b)^(2/3)*log(a*b*x^2 - (a^2*b)^(2/3)*x + (a^2*b)^(1/3)*a) + 40*((77*b^5*c - 44*a*b^4*d + 20*a^2*b^3*e - 5*a^3*b^2*f)*x^14 + 2*(77*a*b^4*c - 44*a^2*b^3*d + 20*a^3*b^2*e - 5*a^4*b*f)*x^11 + (77*a^2*b^3*c - 44*a^3*b^2*d + 20*a^4*b*e - 5*a^5*f)*x^8)*(a^2*b)^(2/3)*log(a*b*x + (a^2*b)^(2/3)))/(a^7*b^3*x^14 + 2*a^8*b^2*x^11 + a^9*b*x^8)]","B",0
301,1,621,0,0.438526," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^11/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{420 \, {\left(104 \, b^{5} c - 65 \, a b^{4} d + 35 \, a^{2} b^{3} e - 14 \, a^{3} b^{2} f\right)} x^{15} + 735 \, {\left(104 \, a b^{4} c - 65 \, a^{2} b^{3} d + 35 \, a^{3} b^{2} e - 14 \, a^{4} b f\right)} x^{12} + 270 \, {\left(104 \, a^{2} b^{3} c - 65 \, a^{3} b^{2} d + 35 \, a^{4} b e - 14 \, a^{5} f\right)} x^{9} - 27 \, {\left(104 \, a^{3} b^{2} c - 65 \, a^{4} b d + 35 \, a^{5} e\right)} x^{6} - 378 \, a^{5} c + 108 \, {\left(8 \, a^{4} b c - 5 \, a^{5} d\right)} x^{3} + 140 \, \sqrt{3} {\left({\left(104 \, b^{5} c - 65 \, a b^{4} d + 35 \, a^{2} b^{3} e - 14 \, a^{3} b^{2} f\right)} x^{16} + 2 \, {\left(104 \, a b^{4} c - 65 \, a^{2} b^{3} d + 35 \, a^{3} b^{2} e - 14 \, a^{4} b f\right)} x^{13} + {\left(104 \, a^{2} b^{3} c - 65 \, a^{3} b^{2} d + 35 \, a^{4} b e - 14 \, a^{5} f\right)} x^{10}\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + 70 \, {\left({\left(104 \, b^{5} c - 65 \, a b^{4} d + 35 \, a^{2} b^{3} e - 14 \, a^{3} b^{2} f\right)} x^{16} + 2 \, {\left(104 \, a b^{4} c - 65 \, a^{2} b^{3} d + 35 \, a^{3} b^{2} e - 14 \, a^{4} b f\right)} x^{13} + {\left(104 \, a^{2} b^{3} c - 65 \, a^{3} b^{2} d + 35 \, a^{4} b e - 14 \, a^{5} f\right)} x^{10}\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x^{2} - a x \left(\frac{b}{a}\right)^{\frac{2}{3}} + a \left(\frac{b}{a}\right)^{\frac{1}{3}}\right) - 140 \, {\left({\left(104 \, b^{5} c - 65 \, a b^{4} d + 35 \, a^{2} b^{3} e - 14 \, a^{3} b^{2} f\right)} x^{16} + 2 \, {\left(104 \, a b^{4} c - 65 \, a^{2} b^{3} d + 35 \, a^{3} b^{2} e - 14 \, a^{4} b f\right)} x^{13} + {\left(104 \, a^{2} b^{3} c - 65 \, a^{3} b^{2} d + 35 \, a^{4} b e - 14 \, a^{5} f\right)} x^{10}\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x + a \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{3780 \, {\left(a^{6} b^{2} x^{16} + 2 \, a^{7} b x^{13} + a^{8} x^{10}\right)}}"," ",0,"1/3780*(420*(104*b^5*c - 65*a*b^4*d + 35*a^2*b^3*e - 14*a^3*b^2*f)*x^15 + 735*(104*a*b^4*c - 65*a^2*b^3*d + 35*a^3*b^2*e - 14*a^4*b*f)*x^12 + 270*(104*a^2*b^3*c - 65*a^3*b^2*d + 35*a^4*b*e - 14*a^5*f)*x^9 - 27*(104*a^3*b^2*c - 65*a^4*b*d + 35*a^5*e)*x^6 - 378*a^5*c + 108*(8*a^4*b*c - 5*a^5*d)*x^3 + 140*sqrt(3)*((104*b^5*c - 65*a*b^4*d + 35*a^2*b^3*e - 14*a^3*b^2*f)*x^16 + 2*(104*a*b^4*c - 65*a^2*b^3*d + 35*a^3*b^2*e - 14*a^4*b*f)*x^13 + (104*a^2*b^3*c - 65*a^3*b^2*d + 35*a^4*b*e - 14*a^5*f)*x^10)*(b/a)^(1/3)*arctan(2/3*sqrt(3)*x*(b/a)^(1/3) - 1/3*sqrt(3)) + 70*((104*b^5*c - 65*a*b^4*d + 35*a^2*b^3*e - 14*a^3*b^2*f)*x^16 + 2*(104*a*b^4*c - 65*a^2*b^3*d + 35*a^3*b^2*e - 14*a^4*b*f)*x^13 + (104*a^2*b^3*c - 65*a^3*b^2*d + 35*a^4*b*e - 14*a^5*f)*x^10)*(b/a)^(1/3)*log(b*x^2 - a*x*(b/a)^(2/3) + a*(b/a)^(1/3)) - 140*((104*b^5*c - 65*a*b^4*d + 35*a^2*b^3*e - 14*a^3*b^2*f)*x^16 + 2*(104*a*b^4*c - 65*a^2*b^3*d + 35*a^3*b^2*e - 14*a^4*b*f)*x^13 + (104*a^2*b^3*c - 65*a^3*b^2*d + 35*a^4*b*e - 14*a^5*f)*x^10)*(b/a)^(1/3)*log(b*x + a*(b/a)^(2/3)))/(a^6*b^2*x^16 + 2*a^7*b*x^13 + a^8*x^10)","A",0
302,1,654,0,0.447457," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^12/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{660 \, {\left(119 \, b^{5} c - 77 \, a b^{4} d + 44 \, a^{2} b^{3} e - 20 \, a^{3} b^{2} f\right)} x^{15} + 1056 \, {\left(119 \, a b^{4} c - 77 \, a^{2} b^{3} d + 44 \, a^{3} b^{2} e - 20 \, a^{4} b f\right)} x^{12} + 297 \, {\left(119 \, a^{2} b^{3} c - 77 \, a^{3} b^{2} d + 44 \, a^{4} b e - 20 \, a^{5} f\right)} x^{9} - 54 \, {\left(119 \, a^{3} b^{2} c - 77 \, a^{4} b d + 44 \, a^{5} e\right)} x^{6} - 1080 \, a^{5} c + 135 \, {\left(17 \, a^{4} b c - 11 \, a^{5} d\right)} x^{3} - 440 \, \sqrt{3} {\left({\left(119 \, b^{5} c - 77 \, a b^{4} d + 44 \, a^{2} b^{3} e - 20 \, a^{3} b^{2} f\right)} x^{17} + 2 \, {\left(119 \, a b^{4} c - 77 \, a^{2} b^{3} d + 44 \, a^{3} b^{2} e - 20 \, a^{4} b f\right)} x^{14} + {\left(119 \, a^{2} b^{3} c - 77 \, a^{3} b^{2} d + 44 \, a^{4} b e - 20 \, a^{5} f\right)} x^{11}\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} a x \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}} - \sqrt{3} b}{3 \, b}\right) + 220 \, {\left({\left(119 \, b^{5} c - 77 \, a b^{4} d + 44 \, a^{2} b^{3} e - 20 \, a^{3} b^{2} f\right)} x^{17} + 2 \, {\left(119 \, a b^{4} c - 77 \, a^{2} b^{3} d + 44 \, a^{3} b^{2} e - 20 \, a^{4} b f\right)} x^{14} + {\left(119 \, a^{2} b^{3} c - 77 \, a^{3} b^{2} d + 44 \, a^{4} b e - 20 \, a^{5} f\right)} x^{11}\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b^{2} x^{2} + a b x \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} + a^{2} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}}\right) - 440 \, {\left({\left(119 \, b^{5} c - 77 \, a b^{4} d + 44 \, a^{2} b^{3} e - 20 \, a^{3} b^{2} f\right)} x^{17} + 2 \, {\left(119 \, a b^{4} c - 77 \, a^{2} b^{3} d + 44 \, a^{3} b^{2} e - 20 \, a^{4} b f\right)} x^{14} + {\left(119 \, a^{2} b^{3} c - 77 \, a^{3} b^{2} d + 44 \, a^{4} b e - 20 \, a^{5} f\right)} x^{11}\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b x - a \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}}\right)}{11880 \, {\left(a^{6} b^{2} x^{17} + 2 \, a^{7} b x^{14} + a^{8} x^{11}\right)}}"," ",0,"1/11880*(660*(119*b^5*c - 77*a*b^4*d + 44*a^2*b^3*e - 20*a^3*b^2*f)*x^15 + 1056*(119*a*b^4*c - 77*a^2*b^3*d + 44*a^3*b^2*e - 20*a^4*b*f)*x^12 + 297*(119*a^2*b^3*c - 77*a^3*b^2*d + 44*a^4*b*e - 20*a^5*f)*x^9 - 54*(119*a^3*b^2*c - 77*a^4*b*d + 44*a^5*e)*x^6 - 1080*a^5*c + 135*(17*a^4*b*c - 11*a^5*d)*x^3 - 440*sqrt(3)*((119*b^5*c - 77*a*b^4*d + 44*a^2*b^3*e - 20*a^3*b^2*f)*x^17 + 2*(119*a*b^4*c - 77*a^2*b^3*d + 44*a^3*b^2*e - 20*a^4*b*f)*x^14 + (119*a^2*b^3*c - 77*a^3*b^2*d + 44*a^4*b*e - 20*a^5*f)*x^11)*(-b^2/a^2)^(1/3)*arctan(1/3*(2*sqrt(3)*a*x*(-b^2/a^2)^(2/3) - sqrt(3)*b)/b) + 220*((119*b^5*c - 77*a*b^4*d + 44*a^2*b^3*e - 20*a^3*b^2*f)*x^17 + 2*(119*a*b^4*c - 77*a^2*b^3*d + 44*a^3*b^2*e - 20*a^4*b*f)*x^14 + (119*a^2*b^3*c - 77*a^3*b^2*d + 44*a^4*b*e - 20*a^5*f)*x^11)*(-b^2/a^2)^(1/3)*log(b^2*x^2 + a*b*x*(-b^2/a^2)^(1/3) + a^2*(-b^2/a^2)^(2/3)) - 440*((119*b^5*c - 77*a*b^4*d + 44*a^2*b^3*e - 20*a^3*b^2*f)*x^17 + 2*(119*a*b^4*c - 77*a^2*b^3*d + 44*a^3*b^2*e - 20*a^4*b*f)*x^14 + (119*a^2*b^3*c - 77*a^3*b^2*d + 44*a^4*b*e - 20*a^5*f)*x^11)*(-b^2/a^2)^(1/3)*log(b*x - a*(-b^2/a^2)^(1/3)))/(a^6*b^2*x^17 + 2*a^7*b*x^14 + a^8*x^11)","A",0
303,1,686,0,0.437550," ","integrate((f*x^9+e*x^6+d*x^3+c)/x^14/(b*x^3+a)^3,x, algorithm=""fricas"")","-\frac{5460 \, {\left(152 \, b^{6} c - 104 \, a b^{5} d + 65 \, a^{2} b^{4} e - 35 \, a^{3} b^{3} f\right)} x^{18} + 9555 \, {\left(152 \, a b^{5} c - 104 \, a^{2} b^{4} d + 65 \, a^{3} b^{3} e - 35 \, a^{4} b^{2} f\right)} x^{15} + 3510 \, {\left(152 \, a^{2} b^{4} c - 104 \, a^{3} b^{3} d + 65 \, a^{4} b^{2} e - 35 \, a^{5} b f\right)} x^{12} - 351 \, {\left(152 \, a^{3} b^{3} c - 104 \, a^{4} b^{2} d + 65 \, a^{5} b e - 35 \, a^{6} f\right)} x^{9} + 3780 \, a^{6} c + 108 \, {\left(152 \, a^{4} b^{2} c - 104 \, a^{5} b d + 65 \, a^{6} e\right)} x^{6} - 378 \, {\left(19 \, a^{5} b c - 13 \, a^{6} d\right)} x^{3} + 1820 \, \sqrt{3} {\left({\left(152 \, b^{6} c - 104 \, a b^{5} d + 65 \, a^{2} b^{4} e - 35 \, a^{3} b^{3} f\right)} x^{19} + 2 \, {\left(152 \, a b^{5} c - 104 \, a^{2} b^{4} d + 65 \, a^{3} b^{3} e - 35 \, a^{4} b^{2} f\right)} x^{16} + {\left(152 \, a^{2} b^{4} c - 104 \, a^{3} b^{3} d + 65 \, a^{4} b^{2} e - 35 \, a^{5} b f\right)} x^{13}\right)} \left(-\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} x \left(-\frac{b}{a}\right)^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - 910 \, {\left({\left(152 \, b^{6} c - 104 \, a b^{5} d + 65 \, a^{2} b^{4} e - 35 \, a^{3} b^{3} f\right)} x^{19} + 2 \, {\left(152 \, a b^{5} c - 104 \, a^{2} b^{4} d + 65 \, a^{3} b^{3} e - 35 \, a^{4} b^{2} f\right)} x^{16} + {\left(152 \, a^{2} b^{4} c - 104 \, a^{3} b^{3} d + 65 \, a^{4} b^{2} e - 35 \, a^{5} b f\right)} x^{13}\right)} \left(-\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x^{2} - a x \left(-\frac{b}{a}\right)^{\frac{2}{3}} - a \left(-\frac{b}{a}\right)^{\frac{1}{3}}\right) + 1820 \, {\left({\left(152 \, b^{6} c - 104 \, a b^{5} d + 65 \, a^{2} b^{4} e - 35 \, a^{3} b^{3} f\right)} x^{19} + 2 \, {\left(152 \, a b^{5} c - 104 \, a^{2} b^{4} d + 65 \, a^{3} b^{3} e - 35 \, a^{4} b^{2} f\right)} x^{16} + {\left(152 \, a^{2} b^{4} c - 104 \, a^{3} b^{3} d + 65 \, a^{4} b^{2} e - 35 \, a^{5} b f\right)} x^{13}\right)} \left(-\frac{b}{a}\right)^{\frac{1}{3}} \log\left(b x + a \left(-\frac{b}{a}\right)^{\frac{2}{3}}\right)}{49140 \, {\left(a^{7} b^{2} x^{19} + 2 \, a^{8} b x^{16} + a^{9} x^{13}\right)}}"," ",0,"-1/49140*(5460*(152*b^6*c - 104*a*b^5*d + 65*a^2*b^4*e - 35*a^3*b^3*f)*x^18 + 9555*(152*a*b^5*c - 104*a^2*b^4*d + 65*a^3*b^3*e - 35*a^4*b^2*f)*x^15 + 3510*(152*a^2*b^4*c - 104*a^3*b^3*d + 65*a^4*b^2*e - 35*a^5*b*f)*x^12 - 351*(152*a^3*b^3*c - 104*a^4*b^2*d + 65*a^5*b*e - 35*a^6*f)*x^9 + 3780*a^6*c + 108*(152*a^4*b^2*c - 104*a^5*b*d + 65*a^6*e)*x^6 - 378*(19*a^5*b*c - 13*a^6*d)*x^3 + 1820*sqrt(3)*((152*b^6*c - 104*a*b^5*d + 65*a^2*b^4*e - 35*a^3*b^3*f)*x^19 + 2*(152*a*b^5*c - 104*a^2*b^4*d + 65*a^3*b^3*e - 35*a^4*b^2*f)*x^16 + (152*a^2*b^4*c - 104*a^3*b^3*d + 65*a^4*b^2*e - 35*a^5*b*f)*x^13)*(-b/a)^(1/3)*arctan(2/3*sqrt(3)*x*(-b/a)^(1/3) + 1/3*sqrt(3)) - 910*((152*b^6*c - 104*a*b^5*d + 65*a^2*b^4*e - 35*a^3*b^3*f)*x^19 + 2*(152*a*b^5*c - 104*a^2*b^4*d + 65*a^3*b^3*e - 35*a^4*b^2*f)*x^16 + (152*a^2*b^4*c - 104*a^3*b^3*d + 65*a^4*b^2*e - 35*a^5*b*f)*x^13)*(-b/a)^(1/3)*log(b*x^2 - a*x*(-b/a)^(2/3) - a*(-b/a)^(1/3)) + 1820*((152*b^6*c - 104*a*b^5*d + 65*a^2*b^4*e - 35*a^3*b^3*f)*x^19 + 2*(152*a*b^5*c - 104*a^2*b^4*d + 65*a^3*b^3*e - 35*a^4*b^2*f)*x^16 + (152*a^2*b^4*c - 104*a^3*b^3*d + 65*a^4*b^2*e - 35*a^5*b*f)*x^13)*(-b/a)^(1/3)*log(b*x + a*(-b/a)^(2/3)))/(a^7*b^2*x^19 + 2*a^8*b*x^16 + a^9*x^13)","A",0
304,1,44,0,0.403825," ","integrate((1-x)*x^4/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) + \frac{2}{3} \, \log\left(x + 1\right)"," ",0,"-1/3*x^3 + 1/2*x^2 - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/6*log(x^2 - x + 1) + 2/3*log(x + 1)","A",0
305,1,24,0,0.398629," ","integrate((1-x)*x^3/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + x + \frac{1}{3} \, \log\left(x^{2} - x + 1\right) - \frac{2}{3} \, \log\left(x + 1\right)"," ",0,"-1/2*x^2 + x + 1/3*log(x^2 - x + 1) - 2/3*log(x + 1)","A",0
306,1,37,0,0.413522," ","integrate((1-x)*x^2/(x^3+1),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - x + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) + \frac{2}{3} \, \log\left(x + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - x + 1/6*log(x^2 - x + 1) + 2/3*log(x + 1)","A",0
307,1,34,0,0.408638," ","integrate((1-x)*x/(x^3+1),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{2}{3} \, \log\left(x + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/6*log(x^2 - x + 1) - 2/3*log(x + 1)","A",0
308,1,36,0,0.420441," ","integrate((1-x)/x/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{2}{3} \, \log\left(x + 1\right) + \log\left(x\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/6*log(x^2 - x + 1) - 2/3*log(x + 1) + log(x)","A",0
309,1,48,0,0.403506," ","integrate((1-x)/x^2/(x^3+1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - x \log\left(x^{2} - x + 1\right) - 4 \, x \log\left(x + 1\right) + 6 \, x \log\left(x\right) + 6}{6 \, x}"," ",0,"-1/6*(2*sqrt(3)*x*arctan(1/3*sqrt(3)*(2*x - 1)) - x*log(x^2 - x + 1) - 4*x*log(x + 1) + 6*x*log(x) + 6)/x","A",0
310,1,33,0,0.384971," ","integrate((1-x)/x^3/(x^3+1),x, algorithm=""fricas"")","\frac{2 \, x^{2} \log\left(x^{2} - x + 1\right) - 4 \, x^{2} \log\left(x + 1\right) + 6 \, x - 3}{6 \, x^{2}}"," ",0,"1/6*(2*x^2*log(x^2 - x + 1) - 4*x^2*log(x + 1) + 6*x - 3)/x^2","A",0
311,1,34,0,0.400937," ","integrate(x*(1+2*x)/(x^3+1),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{5}{6} \, \log\left(x^{2} - x + 1\right) + \frac{1}{3} \, \log\left(x + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 5/6*log(x^2 - x + 1) + 1/3*log(x + 1)","A",0
312,1,32,0,0.399736," ","integrate(x*(1+2*x)/(-x^3+1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{2} \, \log\left(x^{2} + x + 1\right) - \log\left(x - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/2*log(x^2 + x + 1) - log(x - 1)","A",0
313,1,43,0,0.347456," ","integrate(x^2*(e*x^2+d*x+c)*(b*x^3+a),x, algorithm=""fricas"")","\frac{1}{8} x^{8} e b + \frac{1}{7} x^{7} d b + \frac{1}{6} x^{6} c b + \frac{1}{5} x^{5} e a + \frac{1}{4} x^{4} d a + \frac{1}{3} x^{3} c a"," ",0,"1/8*x^8*e*b + 1/7*x^7*d*b + 1/6*x^6*c*b + 1/5*x^5*e*a + 1/4*x^4*d*a + 1/3*x^3*c*a","A",0
314,1,43,0,0.353959," ","integrate(x*(e*x^2+d*x+c)*(b*x^3+a),x, algorithm=""fricas"")","\frac{1}{7} x^{7} e b + \frac{1}{6} x^{6} d b + \frac{1}{5} x^{5} c b + \frac{1}{4} x^{4} e a + \frac{1}{3} x^{3} d a + \frac{1}{2} x^{2} c a"," ",0,"1/7*x^7*e*b + 1/6*x^6*d*b + 1/5*x^5*c*b + 1/4*x^4*e*a + 1/3*x^3*d*a + 1/2*x^2*c*a","A",0
315,1,40,0,0.367291," ","integrate((e*x^2+d*x+c)*(b*x^3+a),x, algorithm=""fricas"")","\frac{1}{6} x^{6} e b + \frac{1}{5} x^{5} d b + \frac{1}{4} x^{4} c b + \frac{1}{3} x^{3} e a + \frac{1}{2} x^{2} d a + x c a"," ",0,"1/6*x^6*e*b + 1/5*x^5*d*b + 1/4*x^4*c*b + 1/3*x^3*e*a + 1/2*x^2*d*a + x*c*a","A",0
316,1,38,0,0.400745," ","integrate((e*x^2+d*x+c)*(b*x^3+a)/x,x, algorithm=""fricas"")","\frac{1}{5} \, b e x^{5} + \frac{1}{4} \, b d x^{4} + \frac{1}{3} \, b c x^{3} + \frac{1}{2} \, a e x^{2} + a d x + a c \log\left(x\right)"," ",0,"1/5*b*e*x^5 + 1/4*b*d*x^4 + 1/3*b*c*x^3 + 1/2*a*e*x^2 + a*d*x + a*c*log(x)","A",0
317,1,45,0,0.409291," ","integrate((e*x^2+d*x+c)*(b*x^3+a)/x^2,x, algorithm=""fricas"")","\frac{3 \, b e x^{5} + 4 \, b d x^{4} + 6 \, b c x^{3} + 12 \, a e x^{2} + 12 \, a d x \log\left(x\right) - 12 \, a c}{12 \, x}"," ",0,"1/12*(3*b*e*x^5 + 4*b*d*x^4 + 6*b*c*x^3 + 12*a*e*x^2 + 12*a*d*x*log(x) - 12*a*c)/x","A",0
318,1,45,0,0.408286," ","integrate((e*x^2+d*x+c)*(b*x^3+a)/x^3,x, algorithm=""fricas"")","\frac{2 \, b e x^{5} + 3 \, b d x^{4} + 6 \, b c x^{3} + 6 \, a e x^{2} \log\left(x\right) - 6 \, a d x - 3 \, a c}{6 \, x^{2}}"," ",0,"1/6*(2*b*e*x^5 + 3*b*d*x^4 + 6*b*c*x^3 + 6*a*e*x^2*log(x) - 6*a*d*x - 3*a*c)/x^2","A",0
319,1,79,0,0.345114," ","integrate(x^2*(e*x^2+d*x+c)*(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{1}{11} x^{11} e b^{2} + \frac{1}{10} x^{10} d b^{2} + \frac{1}{9} x^{9} c b^{2} + \frac{1}{4} x^{8} e b a + \frac{2}{7} x^{7} d b a + \frac{1}{3} x^{6} c b a + \frac{1}{5} x^{5} e a^{2} + \frac{1}{4} x^{4} d a^{2} + \frac{1}{3} x^{3} c a^{2}"," ",0,"1/11*x^11*e*b^2 + 1/10*x^10*d*b^2 + 1/9*x^9*c*b^2 + 1/4*x^8*e*b*a + 2/7*x^7*d*b*a + 1/3*x^6*c*b*a + 1/5*x^5*e*a^2 + 1/4*x^4*d*a^2 + 1/3*x^3*c*a^2","A",0
320,1,79,0,0.353012," ","integrate(x*(e*x^2+d*x+c)*(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{1}{10} x^{10} e b^{2} + \frac{1}{9} x^{9} d b^{2} + \frac{1}{8} x^{8} c b^{2} + \frac{2}{7} x^{7} e b a + \frac{1}{3} x^{6} d b a + \frac{2}{5} x^{5} c b a + \frac{1}{4} x^{4} e a^{2} + \frac{1}{3} x^{3} d a^{2} + \frac{1}{2} x^{2} c a^{2}"," ",0,"1/10*x^10*e*b^2 + 1/9*x^9*d*b^2 + 1/8*x^8*c*b^2 + 2/7*x^7*e*b*a + 1/3*x^6*d*b*a + 2/5*x^5*c*b*a + 1/4*x^4*e*a^2 + 1/3*x^3*d*a^2 + 1/2*x^2*c*a^2","A",0
321,1,76,0,0.364990," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{1}{9} x^{9} e b^{2} + \frac{1}{8} x^{8} d b^{2} + \frac{1}{7} x^{7} c b^{2} + \frac{1}{3} x^{6} e b a + \frac{2}{5} x^{5} d b a + \frac{1}{2} x^{4} c b a + \frac{1}{3} x^{3} e a^{2} + \frac{1}{2} x^{2} d a^{2} + x c a^{2}"," ",0,"1/9*x^9*e*b^2 + 1/8*x^8*d*b^2 + 1/7*x^7*c*b^2 + 1/3*x^6*e*b*a + 2/5*x^5*d*b*a + 1/2*x^4*c*b*a + 1/3*x^3*e*a^2 + 1/2*x^2*d*a^2 + x*c*a^2","A",0
322,1,74,0,0.409375," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^2/x,x, algorithm=""fricas"")","\frac{1}{8} \, b^{2} e x^{8} + \frac{1}{7} \, b^{2} d x^{7} + \frac{1}{6} \, b^{2} c x^{6} + \frac{2}{5} \, a b e x^{5} + \frac{1}{2} \, a b d x^{4} + \frac{2}{3} \, a b c x^{3} + \frac{1}{2} \, a^{2} e x^{2} + a^{2} d x + a^{2} c \log\left(x\right)"," ",0,"1/8*b^2*e*x^8 + 1/7*b^2*d*x^7 + 1/6*b^2*c*x^6 + 2/5*a*b*e*x^5 + 1/2*a*b*d*x^4 + 2/3*a*b*c*x^3 + 1/2*a^2*e*x^2 + a^2*d*x + a^2*c*log(x)","A",0
323,1,81,0,0.410319," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^2/x^2,x, algorithm=""fricas"")","\frac{30 \, b^{2} e x^{8} + 35 \, b^{2} d x^{7} + 42 \, b^{2} c x^{6} + 105 \, a b e x^{5} + 140 \, a b d x^{4} + 210 \, a b c x^{3} + 210 \, a^{2} e x^{2} + 210 \, a^{2} d x \log\left(x\right) - 210 \, a^{2} c}{210 \, x}"," ",0,"1/210*(30*b^2*e*x^8 + 35*b^2*d*x^7 + 42*b^2*c*x^6 + 105*a*b*e*x^5 + 140*a*b*d*x^4 + 210*a*b*c*x^3 + 210*a^2*e*x^2 + 210*a^2*d*x*log(x) - 210*a^2*c)/x","A",0
324,1,81,0,0.392648," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^2/x^3,x, algorithm=""fricas"")","\frac{10 \, b^{2} e x^{8} + 12 \, b^{2} d x^{7} + 15 \, b^{2} c x^{6} + 40 \, a b e x^{5} + 60 \, a b d x^{4} + 120 \, a b c x^{3} + 60 \, a^{2} e x^{2} \log\left(x\right) - 60 \, a^{2} d x - 30 \, a^{2} c}{60 \, x^{2}}"," ",0,"1/60*(10*b^2*e*x^8 + 12*b^2*d*x^7 + 15*b^2*c*x^6 + 40*a*b*e*x^5 + 60*a*b*d*x^4 + 120*a*b*c*x^3 + 60*a^2*e*x^2*log(x) - 60*a^2*d*x - 30*a^2*c)/x^2","A",0
325,1,115,0,0.353750," ","integrate(x^2*(e*x^2+d*x+c)*(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{1}{14} x^{14} e b^{3} + \frac{1}{13} x^{13} d b^{3} + \frac{1}{12} x^{12} c b^{3} + \frac{3}{11} x^{11} e b^{2} a + \frac{3}{10} x^{10} d b^{2} a + \frac{1}{3} x^{9} c b^{2} a + \frac{3}{8} x^{8} e b a^{2} + \frac{3}{7} x^{7} d b a^{2} + \frac{1}{2} x^{6} c b a^{2} + \frac{1}{5} x^{5} e a^{3} + \frac{1}{4} x^{4} d a^{3} + \frac{1}{3} x^{3} c a^{3}"," ",0,"1/14*x^14*e*b^3 + 1/13*x^13*d*b^3 + 1/12*x^12*c*b^3 + 3/11*x^11*e*b^2*a + 3/10*x^10*d*b^2*a + 1/3*x^9*c*b^2*a + 3/8*x^8*e*b*a^2 + 3/7*x^7*d*b*a^2 + 1/2*x^6*c*b*a^2 + 1/5*x^5*e*a^3 + 1/4*x^4*d*a^3 + 1/3*x^3*c*a^3","A",0
326,1,115,0,0.371188," ","integrate(x*(e*x^2+d*x+c)*(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{1}{13} x^{13} e b^{3} + \frac{1}{12} x^{12} d b^{3} + \frac{1}{11} x^{11} c b^{3} + \frac{3}{10} x^{10} e b^{2} a + \frac{1}{3} x^{9} d b^{2} a + \frac{3}{8} x^{8} c b^{2} a + \frac{3}{7} x^{7} e b a^{2} + \frac{1}{2} x^{6} d b a^{2} + \frac{3}{5} x^{5} c b a^{2} + \frac{1}{4} x^{4} e a^{3} + \frac{1}{3} x^{3} d a^{3} + \frac{1}{2} x^{2} c a^{3}"," ",0,"1/13*x^13*e*b^3 + 1/12*x^12*d*b^3 + 1/11*x^11*c*b^3 + 3/10*x^10*e*b^2*a + 1/3*x^9*d*b^2*a + 3/8*x^8*c*b^2*a + 3/7*x^7*e*b*a^2 + 1/2*x^6*d*b*a^2 + 3/5*x^5*c*b*a^2 + 1/4*x^4*e*a^3 + 1/3*x^3*d*a^3 + 1/2*x^2*c*a^3","A",0
327,1,112,0,0.366364," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{1}{12} x^{12} e b^{3} + \frac{1}{11} x^{11} d b^{3} + \frac{1}{10} x^{10} c b^{3} + \frac{1}{3} x^{9} e b^{2} a + \frac{3}{8} x^{8} d b^{2} a + \frac{3}{7} x^{7} c b^{2} a + \frac{1}{2} x^{6} e b a^{2} + \frac{3}{5} x^{5} d b a^{2} + \frac{3}{4} x^{4} c b a^{2} + \frac{1}{3} x^{3} e a^{3} + \frac{1}{2} x^{2} d a^{3} + x c a^{3}"," ",0,"1/12*x^12*e*b^3 + 1/11*x^11*d*b^3 + 1/10*x^10*c*b^3 + 1/3*x^9*e*b^2*a + 3/8*x^8*d*b^2*a + 3/7*x^7*c*b^2*a + 1/2*x^6*e*b*a^2 + 3/5*x^5*d*b*a^2 + 3/4*x^4*c*b*a^2 + 1/3*x^3*e*a^3 + 1/2*x^2*d*a^3 + x*c*a^3","A",0
328,1,109,0,0.395293," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^3/x,x, algorithm=""fricas"")","\frac{1}{11} \, b^{3} e x^{11} + \frac{1}{10} \, b^{3} d x^{10} + \frac{1}{9} \, b^{3} c x^{9} + \frac{3}{8} \, a b^{2} e x^{8} + \frac{3}{7} \, a b^{2} d x^{7} + \frac{1}{2} \, a b^{2} c x^{6} + \frac{3}{5} \, a^{2} b e x^{5} + \frac{3}{4} \, a^{2} b d x^{4} + a^{2} b c x^{3} + \frac{1}{2} \, a^{3} e x^{2} + a^{3} d x + a^{3} c \log\left(x\right)"," ",0,"1/11*b^3*e*x^11 + 1/10*b^3*d*x^10 + 1/9*b^3*c*x^9 + 3/8*a*b^2*e*x^8 + 3/7*a*b^2*d*x^7 + 1/2*a*b^2*c*x^6 + 3/5*a^2*b*e*x^5 + 3/4*a^2*b*d*x^4 + a^2*b*c*x^3 + 1/2*a^3*e*x^2 + a^3*d*x + a^3*c*log(x)","A",0
329,1,117,0,0.384519," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^3/x^2,x, algorithm=""fricas"")","\frac{252 \, b^{3} e x^{11} + 280 \, b^{3} d x^{10} + 315 \, b^{3} c x^{9} + 1080 \, a b^{2} e x^{8} + 1260 \, a b^{2} d x^{7} + 1512 \, a b^{2} c x^{6} + 1890 \, a^{2} b e x^{5} + 2520 \, a^{2} b d x^{4} + 3780 \, a^{2} b c x^{3} + 2520 \, a^{3} e x^{2} + 2520 \, a^{3} d x \log\left(x\right) - 2520 \, a^{3} c}{2520 \, x}"," ",0,"1/2520*(252*b^3*e*x^11 + 280*b^3*d*x^10 + 315*b^3*c*x^9 + 1080*a*b^2*e*x^8 + 1260*a*b^2*d*x^7 + 1512*a*b^2*c*x^6 + 1890*a^2*b*e*x^5 + 2520*a^2*b*d*x^4 + 3780*a^2*b*c*x^3 + 2520*a^3*e*x^2 + 2520*a^3*d*x*log(x) - 2520*a^3*c)/x","A",0
330,1,117,0,0.407182," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^3/x^3,x, algorithm=""fricas"")","\frac{280 \, b^{3} e x^{11} + 315 \, b^{3} d x^{10} + 360 \, b^{3} c x^{9} + 1260 \, a b^{2} e x^{8} + 1512 \, a b^{2} d x^{7} + 1890 \, a b^{2} c x^{6} + 2520 \, a^{2} b e x^{5} + 3780 \, a^{2} b d x^{4} + 7560 \, a^{2} b c x^{3} + 2520 \, a^{3} e x^{2} \log\left(x\right) - 2520 \, a^{3} d x - 1260 \, a^{3} c}{2520 \, x^{2}}"," ",0,"1/2520*(280*b^3*e*x^11 + 315*b^3*d*x^10 + 360*b^3*c*x^9 + 1260*a*b^2*e*x^8 + 1512*a*b^2*d*x^7 + 1890*a*b^2*c*x^6 + 2520*a^2*b*e*x^5 + 3780*a^2*b*d*x^4 + 7560*a^2*b*c*x^3 + 2520*a^3*e*x^2*log(x) - 2520*a^3*d*x - 1260*a^3*c)/x^2","A",0
331,1,151,0,0.358465," ","integrate(x^2*(e*x^2+d*x+c)*(b*x^3+a)^4,x, algorithm=""fricas"")","\frac{1}{17} x^{17} e b^{4} + \frac{1}{16} x^{16} d b^{4} + \frac{1}{15} x^{15} c b^{4} + \frac{2}{7} x^{14} e b^{3} a + \frac{4}{13} x^{13} d b^{3} a + \frac{1}{3} x^{12} c b^{3} a + \frac{6}{11} x^{11} e b^{2} a^{2} + \frac{3}{5} x^{10} d b^{2} a^{2} + \frac{2}{3} x^{9} c b^{2} a^{2} + \frac{1}{2} x^{8} e b a^{3} + \frac{4}{7} x^{7} d b a^{3} + \frac{2}{3} x^{6} c b a^{3} + \frac{1}{5} x^{5} e a^{4} + \frac{1}{4} x^{4} d a^{4} + \frac{1}{3} x^{3} c a^{4}"," ",0,"1/17*x^17*e*b^4 + 1/16*x^16*d*b^4 + 1/15*x^15*c*b^4 + 2/7*x^14*e*b^3*a + 4/13*x^13*d*b^3*a + 1/3*x^12*c*b^3*a + 6/11*x^11*e*b^2*a^2 + 3/5*x^10*d*b^2*a^2 + 2/3*x^9*c*b^2*a^2 + 1/2*x^8*e*b*a^3 + 4/7*x^7*d*b*a^3 + 2/3*x^6*c*b*a^3 + 1/5*x^5*e*a^4 + 1/4*x^4*d*a^4 + 1/3*x^3*c*a^4","A",0
332,1,151,0,0.351511," ","integrate(x*(e*x^2+d*x+c)*(b*x^3+a)^4,x, algorithm=""fricas"")","\frac{1}{16} x^{16} e b^{4} + \frac{1}{15} x^{15} d b^{4} + \frac{1}{14} x^{14} c b^{4} + \frac{4}{13} x^{13} e b^{3} a + \frac{1}{3} x^{12} d b^{3} a + \frac{4}{11} x^{11} c b^{3} a + \frac{3}{5} x^{10} e b^{2} a^{2} + \frac{2}{3} x^{9} d b^{2} a^{2} + \frac{3}{4} x^{8} c b^{2} a^{2} + \frac{4}{7} x^{7} e b a^{3} + \frac{2}{3} x^{6} d b a^{3} + \frac{4}{5} x^{5} c b a^{3} + \frac{1}{4} x^{4} e a^{4} + \frac{1}{3} x^{3} d a^{4} + \frac{1}{2} x^{2} c a^{4}"," ",0,"1/16*x^16*e*b^4 + 1/15*x^15*d*b^4 + 1/14*x^14*c*b^4 + 4/13*x^13*e*b^3*a + 1/3*x^12*d*b^3*a + 4/11*x^11*c*b^3*a + 3/5*x^10*e*b^2*a^2 + 2/3*x^9*d*b^2*a^2 + 3/4*x^8*c*b^2*a^2 + 4/7*x^7*e*b*a^3 + 2/3*x^6*d*b*a^3 + 4/5*x^5*c*b*a^3 + 1/4*x^4*e*a^4 + 1/3*x^3*d*a^4 + 1/2*x^2*c*a^4","A",0
333,1,147,0,0.359484," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^4,x, algorithm=""fricas"")","\frac{1}{15} x^{15} e b^{4} + \frac{1}{14} x^{14} d b^{4} + \frac{1}{13} x^{13} c b^{4} + \frac{1}{3} x^{12} e b^{3} a + \frac{4}{11} x^{11} d b^{3} a + \frac{2}{5} x^{10} c b^{3} a + \frac{2}{3} x^{9} e b^{2} a^{2} + \frac{3}{4} x^{8} d b^{2} a^{2} + \frac{6}{7} x^{7} c b^{2} a^{2} + \frac{2}{3} x^{6} e b a^{3} + \frac{4}{5} x^{5} d b a^{3} + x^{4} c b a^{3} + \frac{1}{3} x^{3} e a^{4} + \frac{1}{2} x^{2} d a^{4} + x c a^{4}"," ",0,"1/15*x^15*e*b^4 + 1/14*x^14*d*b^4 + 1/13*x^13*c*b^4 + 1/3*x^12*e*b^3*a + 4/11*x^11*d*b^3*a + 2/5*x^10*c*b^3*a + 2/3*x^9*e*b^2*a^2 + 3/4*x^8*d*b^2*a^2 + 6/7*x^7*c*b^2*a^2 + 2/3*x^6*e*b*a^3 + 4/5*x^5*d*b*a^3 + x^4*c*b*a^3 + 1/3*x^3*e*a^4 + 1/2*x^2*d*a^4 + x*c*a^4","A",0
334,1,144,0,0.412328," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^4/x,x, algorithm=""fricas"")","\frac{1}{14} \, b^{4} e x^{14} + \frac{1}{13} \, b^{4} d x^{13} + \frac{1}{12} \, b^{4} c x^{12} + \frac{4}{11} \, a b^{3} e x^{11} + \frac{2}{5} \, a b^{3} d x^{10} + \frac{4}{9} \, a b^{3} c x^{9} + \frac{3}{4} \, a^{2} b^{2} e x^{8} + \frac{6}{7} \, a^{2} b^{2} d x^{7} + a^{2} b^{2} c x^{6} + \frac{4}{5} \, a^{3} b e x^{5} + a^{3} b d x^{4} + \frac{4}{3} \, a^{3} b c x^{3} + \frac{1}{2} \, a^{4} e x^{2} + a^{4} d x + a^{4} c \log\left(x\right)"," ",0,"1/14*b^4*e*x^14 + 1/13*b^4*d*x^13 + 1/12*b^4*c*x^12 + 4/11*a*b^3*e*x^11 + 2/5*a*b^3*d*x^10 + 4/9*a*b^3*c*x^9 + 3/4*a^2*b^2*e*x^8 + 6/7*a^2*b^2*d*x^7 + a^2*b^2*c*x^6 + 4/5*a^3*b*e*x^5 + a^3*b*d*x^4 + 4/3*a^3*b*c*x^3 + 1/2*a^4*e*x^2 + a^4*d*x + a^4*c*log(x)","A",0
335,1,153,0,0.393409," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^4/x^2,x, algorithm=""fricas"")","\frac{13860 \, b^{4} e x^{14} + 15015 \, b^{4} d x^{13} + 16380 \, b^{4} c x^{12} + 72072 \, a b^{3} e x^{11} + 80080 \, a b^{3} d x^{10} + 90090 \, a b^{3} c x^{9} + 154440 \, a^{2} b^{2} e x^{8} + 180180 \, a^{2} b^{2} d x^{7} + 216216 \, a^{2} b^{2} c x^{6} + 180180 \, a^{3} b e x^{5} + 240240 \, a^{3} b d x^{4} + 360360 \, a^{3} b c x^{3} + 180180 \, a^{4} e x^{2} + 180180 \, a^{4} d x \log\left(x\right) - 180180 \, a^{4} c}{180180 \, x}"," ",0,"1/180180*(13860*b^4*e*x^14 + 15015*b^4*d*x^13 + 16380*b^4*c*x^12 + 72072*a*b^3*e*x^11 + 80080*a*b^3*d*x^10 + 90090*a*b^3*c*x^9 + 154440*a^2*b^2*e*x^8 + 180180*a^2*b^2*d*x^7 + 216216*a^2*b^2*c*x^6 + 180180*a^3*b*e*x^5 + 240240*a^3*b*d*x^4 + 360360*a^3*b*c*x^3 + 180180*a^4*e*x^2 + 180180*a^4*d*x*log(x) - 180180*a^4*c)/x","A",0
336,1,153,0,0.408045," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^4/x^3,x, algorithm=""fricas"")","\frac{1155 \, b^{4} e x^{14} + 1260 \, b^{4} d x^{13} + 1386 \, b^{4} c x^{12} + 6160 \, a b^{3} e x^{11} + 6930 \, a b^{3} d x^{10} + 7920 \, a b^{3} c x^{9} + 13860 \, a^{2} b^{2} e x^{8} + 16632 \, a^{2} b^{2} d x^{7} + 20790 \, a^{2} b^{2} c x^{6} + 18480 \, a^{3} b e x^{5} + 27720 \, a^{3} b d x^{4} + 55440 \, a^{3} b c x^{3} + 13860 \, a^{4} e x^{2} \log\left(x\right) - 13860 \, a^{4} d x - 6930 \, a^{4} c}{13860 \, x^{2}}"," ",0,"1/13860*(1155*b^4*e*x^14 + 1260*b^4*d*x^13 + 1386*b^4*c*x^12 + 6160*a*b^3*e*x^11 + 6930*a*b^3*d*x^10 + 7920*a*b^3*c*x^9 + 13860*a^2*b^2*e*x^8 + 16632*a^2*b^2*d*x^7 + 20790*a^2*b^2*c*x^6 + 18480*a^3*b*e*x^5 + 27720*a^3*b*d*x^4 + 55440*a^3*b*c*x^3 + 13860*a^4*e*x^2*log(x) - 13860*a^4*d*x - 6930*a^4*c)/x^2","A",0
337,1,4798,0,1.269606," ","integrate(x^3*(e*x^2+d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{12 \, b e x^{3} + 18 \, b d x^{2} - 2 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} b^{2} \log\left(\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)}^{2} b^{4} d + 2 \, a b c d^{2} - a b c^{2} e + a^{2} d e^{2} + \frac{1}{6} \, {\left(b^{3} c^{2} - 2 \, a b^{2} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} + {\left(b^{2} c^{3} + a b d^{3}\right)} x\right) + 36 \, b c x + {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} b^{2} + 3 \, \sqrt{\frac{1}{3}} b^{2} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)}^{2} b^{4} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} a b^{2} e + 144 \, a b c d + 36 \, a^{2} e^{2}}{b^{4}}} - 18 \, a e\right)} \log\left(-\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)}^{2} b^{4} d - 2 \, a b c d^{2} + a b c^{2} e - a^{2} d e^{2} - \frac{1}{6} \, {\left(b^{3} c^{2} - 2 \, a b^{2} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} + 2 \, {\left(b^{2} c^{3} + a b d^{3}\right)} x + \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} b^{4} d - 6 \, b^{3} c^{2} - 6 \, a b^{2} d e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)}^{2} b^{4} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} a b^{2} e + 144 \, a b c d + 36 \, a^{2} e^{2}}{b^{4}}}\right) + {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} b^{2} - 3 \, \sqrt{\frac{1}{3}} b^{2} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)}^{2} b^{4} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} a b^{2} e + 144 \, a b c d + 36 \, a^{2} e^{2}}{b^{4}}} - 18 \, a e\right)} \log\left(-\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)}^{2} b^{4} d - 2 \, a b c d^{2} + a b c^{2} e - a^{2} d e^{2} - \frac{1}{6} \, {\left(b^{3} c^{2} - 2 \, a b^{2} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} + 2 \, {\left(b^{2} c^{3} + a b d^{3}\right)} x - \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} b^{4} d - 6 \, b^{3} c^{2} - 6 \, a b^{2} d e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)}^{2} b^{4} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{a^{2} e^{2}}{b^{4}} - \frac{a b c d + a^{2} e^{2}}{b^{4}}\right)}}{{\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{a^{3} e^{3}}{27 \, b^{6}} + \frac{{\left(b c^{3} + a d^{3}\right)} a}{54 \, b^{5}} + \frac{{\left(a b c d + a^{2} e^{2}\right)} a e}{18 \, b^{6}} - \frac{a b^{2} c^{3} + a^{3} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a^{2} b}{54 \, b^{6}}\right)}^{\frac{1}{3}} + \frac{6 \, a e}{b^{2}}\right)} a b^{2} e + 144 \, a b c d + 36 \, a^{2} e^{2}}{b^{4}}}\right)}{36 \, b^{2}}"," ",0,"1/36*(12*b*e*x^3 + 18*b*d*x^2 - 2*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)*b^2*log(1/36*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)^2*b^4*d + 2*a*b*c*d^2 - a*b*c^2*e + a^2*d*e^2 + 1/6*(b^3*c^2 - 2*a*b^2*d*e)*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2) + (b^2*c^3 + a*b*d^3)*x) + 36*b*c*x + (((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)*b^2 + 3*sqrt(1/3)*b^2*sqrt(-(((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)^2*b^4 - 12*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)*a*b^2*e + 144*a*b*c*d + 36*a^2*e^2)/b^4) - 18*a*e)*log(-1/36*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)^2*b^4*d - 2*a*b*c*d^2 + a*b*c^2*e - a^2*d*e^2 - 1/6*(b^3*c^2 - 2*a*b^2*d*e)*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2) + 2*(b^2*c^3 + a*b*d^3)*x + 1/12*sqrt(1/3)*(((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)*b^4*d - 6*b^3*c^2 - 6*a*b^2*d*e)*sqrt(-(((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)^2*b^4 - 12*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)*a*b^2*e + 144*a*b*c*d + 36*a^2*e^2)/b^4)) + (((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)*b^2 - 3*sqrt(1/3)*b^2*sqrt(-(((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)^2*b^4 - 12*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)*a*b^2*e + 144*a*b*c*d + 36*a^2*e^2)/b^4) - 18*a*e)*log(-1/36*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)^2*b^4*d - 2*a*b*c*d^2 + a*b*c^2*e - a^2*d*e^2 - 1/6*(b^3*c^2 - 2*a*b^2*d*e)*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2) + 2*(b^2*c^3 + a*b*d^3)*x - 1/12*sqrt(1/3)*(((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)*b^4*d - 6*b^3*c^2 - 6*a*b^2*d*e)*sqrt(-(((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)^2*b^4 - 12*((-I*sqrt(3) + 1)*(a^2*e^2/b^4 - (a*b*c*d + a^2*e^2)/b^4)/(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*a^3*e^3/b^6 + 1/54*(b*c^3 + a*d^3)*a/b^5 + 1/18*(a*b*c*d + a^2*e^2)*a*e/b^6 - 1/54*(a*b^2*c^3 + a^3*e^3 - (d^3 - 3*c*d*e)*a^2*b)/b^6)^(1/3) + 6*a*e/b^2)*a*b^2*e + 144*a*b*c*d + 36*a^2*e^2)/b^4)))/b^2","C",0
338,1,4261,0,1.236262," ","integrate(x^2*(e*x^2+d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","\frac{6 \, e x^{2} - 2 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} b \log\left(\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)}^{2} b^{3} e + b c d^{2} + b c^{2} e + 2 \, a d e^{2} + \frac{1}{2} \, {\left(b^{2} d^{2} + 2 \, b^{2} c e\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} + {\left(b d^{3} + a e^{3}\right)} x\right) + 12 \, d x + {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} b + 3 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)}^{2} b^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} b^{2} c + 4 \, b c^{2} + 16 \, a d e}{b^{3}}} + 6 \, c\right)} \log\left(-\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)}^{2} b^{3} e - b c d^{2} - b c^{2} e - 2 \, a d e^{2} - \frac{1}{2} \, {\left(b^{2} d^{2} + 2 \, b^{2} c e\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} + 2 \, {\left(b d^{3} + a e^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} b^{3} e - 2 \, b^{2} d^{2} + 2 \, b^{2} c e\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)}^{2} b^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} b^{2} c + 4 \, b c^{2} + 16 \, a d e}{b^{3}}}\right) + {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} b - 3 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)}^{2} b^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} b^{2} c + 4 \, b c^{2} + 16 \, a d e}{b^{3}}} + 6 \, c\right)} \log\left(-\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)}^{2} b^{3} e - b c d^{2} - b c^{2} e - 2 \, a d e^{2} - \frac{1}{2} \, {\left(b^{2} d^{2} + 2 \, b^{2} c e\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} + 2 \, {\left(b d^{3} + a e^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} b^{3} e - 2 \, b^{2} d^{2} + 2 \, b^{2} c e\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)}^{2} b^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{b^{2}} - \frac{b c^{2} + a d e}{b^{3}}\right)}}{{\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, c^{3}}{b^{3}} - \frac{3 \, {\left(b c^{2} + a d e\right)} c}{b^{4}} + \frac{{\left(b d^{3} + a e^{3}\right)} a}{b^{5}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, c}{b}\right)} b^{2} c + 4 \, b c^{2} + 16 \, a d e}{b^{3}}}\right)}{12 \, b}"," ",0,"1/12*(6*e*x^2 - 2*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)*b*log(1/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)^2*b^3*e + b*c*d^2 + b*c^2*e + 2*a*d*e^2 + 1/2*(b^2*d^2 + 2*b^2*c*e)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b) + (b*d^3 + a*e^3)*x) + 12*d*x + ((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)*b + 3*sqrt(1/3)*b*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)^2*b^3 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)*b^2*c + 4*b*c^2 + 16*a*d*e)/b^3) + 6*c)*log(-1/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)^2*b^3*e - b*c*d^2 - b*c^2*e - 2*a*d*e^2 - 1/2*(b^2*d^2 + 2*b^2*c*e)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b) + 2*(b*d^3 + a*e^3)*x + 3/4*sqrt(1/3)*((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)*b^3*e - 2*b^2*d^2 + 2*b^2*c*e)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)^2*b^3 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)*b^2*c + 4*b*c^2 + 16*a*d*e)/b^3)) + ((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)*b - 3*sqrt(1/3)*b*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)^2*b^3 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)*b^2*c + 4*b*c^2 + 16*a*d*e)/b^3) + 6*c)*log(-1/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)^2*b^3*e - b*c*d^2 - b*c^2*e - 2*a*d*e^2 - 1/2*(b^2*d^2 + 2*b^2*c*e)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b) + 2*(b*d^3 + a*e^3)*x - 3/4*sqrt(1/3)*((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)*b^3*e - 2*b^2*d^2 + 2*b^2*c*e)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)^2*b^3 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(c^2/b^2 - (b*c^2 + a*d*e)/b^3)/(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*c^3/b^3 - 3*(b*c^2 + a*d*e)*c/b^4 + (b*d^3 + a*e^3)*a/b^5 + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/b^5)^(1/3) - 2*c/b)*b^2*c + 4*b*c^2 + 16*a*d*e)/b^3)))/b","C",0
339,1,4628,0,1.234527," ","integrate(x*(e*x^2+d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} b \log\left(-\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)}^{2} a b^{3} c - a b c d^{2} + 2 \, a b c^{2} e + a^{2} d e^{2} - \frac{1}{2} \, {\left(2 \, a b^{2} c d - a^{2} b e^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} - {\left(b^{2} c^{3} - a^{2} e^{3}\right)} x\right) - 12 \, e x - {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} b - 3 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)}^{2} b^{2} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} b d + 4 \, d^{2} - 16 \, c e}{b^{2}}} + 6 \, d\right)} \log\left(\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)}^{2} a b^{3} c + a b c d^{2} - 2 \, a b c^{2} e - a^{2} d e^{2} + \frac{1}{2} \, {\left(2 \, a b^{2} c d - a^{2} b e^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} - 2 \, {\left(b^{2} c^{3} - a^{2} e^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} a b^{3} c + 2 \, a b^{2} c d + 2 \, a^{2} b e^{2}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)}^{2} b^{2} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} b d + 4 \, d^{2} - 16 \, c e}{b^{2}}}\right) - {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} b + 3 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)}^{2} b^{2} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} b d + 4 \, d^{2} - 16 \, c e}{b^{2}}} + 6 \, d\right)} \log\left(\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)}^{2} a b^{3} c + a b c d^{2} - 2 \, a b c^{2} e - a^{2} d e^{2} + \frac{1}{2} \, {\left(2 \, a b^{2} c d - a^{2} b e^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} - 2 \, {\left(b^{2} c^{3} - a^{2} e^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} a b^{3} c + 2 \, a b^{2} c d + 2 \, a^{2} b e^{2}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)}^{2} b^{2} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{b^{2}} - \frac{d^{2} - c e}{b^{2}}\right)}}{{\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, d^{3}}{b^{3}} - \frac{3 \, {\left(d^{2} - c e\right)} d}{b^{3}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, d}{b}\right)} b d + 4 \, d^{2} - 16 \, c e}{b^{2}}}\right)}{12 \, b}"," ",0,"-1/12*(2*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)*b*log(-1/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)^2*a*b^3*c - a*b*c*d^2 + 2*a*b*c^2*e + a^2*d*e^2 - 1/2*(2*a*b^2*c*d - a^2*b*e^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b) - (b^2*c^3 - a^2*e^3)*x) - 12*e*x - ((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)*b - 3*sqrt(1/3)*b*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)^2*b^2 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)*b*d + 4*d^2 - 16*c*e)/b^2) + 6*d)*log(1/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)^2*a*b^3*c + a*b*c*d^2 - 2*a*b*c^2*e - a^2*d*e^2 + 1/2*(2*a*b^2*c*d - a^2*b*e^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b) - 2*(b^2*c^3 - a^2*e^3)*x + 3/4*sqrt(1/3)*((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)*a*b^3*c + 2*a*b^2*c*d + 2*a^2*b*e^2)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)^2*b^2 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)*b*d + 4*d^2 - 16*c*e)/b^2)) - ((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)*b + 3*sqrt(1/3)*b*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)^2*b^2 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)*b*d + 4*d^2 - 16*c*e)/b^2) + 6*d)*log(1/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)^2*a*b^3*c + a*b*c*d^2 - 2*a*b*c^2*e - a^2*d*e^2 + 1/2*(2*a*b^2*c*d - a^2*b*e^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b) - 2*(b^2*c^3 - a^2*e^3)*x - 3/4*sqrt(1/3)*((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)*a*b^3*c + 2*a*b^2*c*d + 2*a^2*b*e^2)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)^2*b^2 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(d^2/b^2 - (d^2 - c*e)/b^2)/(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*d^3/b^3 - 3*(d^2 - c*e)*d/b^3 - (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a*b^4) - (b^2*c^3 - a^2*e^3)/(a*b^4))^(1/3) - 2*d/b)*b*d + 4*d^2 - 16*c*e)/b^2)))/b","C",0
340,1,4671,0,1.202121," ","integrate((e*x^2+d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} b \log\left(\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)}^{2} a^{2} b^{2} d + 2 \, a b c d^{2} - a b c^{2} e + a^{2} d e^{2} - \frac{1}{2} \, {\left(a b^{2} c^{2} - 2 \, a^{2} b d e\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} + {\left(b^{2} c^{3} + a b d^{3}\right)} x\right) - {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} b + 3 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)}^{2} a b^{2} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} a b e + 16 \, b c d + 4 \, a e^{2}}{a b^{2}}} + 6 \, e\right)} \log\left(-\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)}^{2} a^{2} b^{2} d - 2 \, a b c d^{2} + a b c^{2} e - a^{2} d e^{2} + \frac{1}{2} \, {\left(a b^{2} c^{2} - 2 \, a^{2} b d e\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} + 2 \, {\left(b^{2} c^{3} + a b d^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} a^{2} b^{2} d + 2 \, a b^{2} c^{2} + 2 \, a^{2} b d e\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)}^{2} a b^{2} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} a b e + 16 \, b c d + 4 \, a e^{2}}{a b^{2}}}\right) - {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} b - 3 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)}^{2} a b^{2} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} a b e + 16 \, b c d + 4 \, a e^{2}}{a b^{2}}} + 6 \, e\right)} \log\left(-\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)}^{2} a^{2} b^{2} d - 2 \, a b c d^{2} + a b c^{2} e - a^{2} d e^{2} + \frac{1}{2} \, {\left(a b^{2} c^{2} - 2 \, a^{2} b d e\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} + 2 \, {\left(b^{2} c^{3} + a b d^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} a^{2} b^{2} d + 2 \, a b^{2} c^{2} + 2 \, a^{2} b d e\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)}^{2} a b^{2} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{b^{2}} - \frac{b c d + a e^{2}}{a b^{2}}\right)}}{{\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, e^{3}}{b^{3}} - \frac{3 \, {\left(b c d + a e^{2}\right)} e}{a b^{3}} + \frac{b c^{3} + a d^{3}}{a^{2} b^{2}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{a^{2} b^{3}}\right)}^{\frac{1}{3}} - \frac{2 \, e}{b}\right)} a b e + 16 \, b c d + 4 \, a e^{2}}{a b^{2}}}\right)}{12 \, b}"," ",0,"-1/12*(2*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)*b*log(1/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)^2*a^2*b^2*d + 2*a*b*c*d^2 - a*b*c^2*e + a^2*d*e^2 - 1/2*(a*b^2*c^2 - 2*a^2*b*d*e)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b) + (b^2*c^3 + a*b*d^3)*x) - ((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)*b + 3*sqrt(1/3)*b*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)^2*a*b^2 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)*a*b*e + 16*b*c*d + 4*a*e^2)/(a*b^2)) + 6*e)*log(-1/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)^2*a^2*b^2*d - 2*a*b*c*d^2 + a*b*c^2*e - a^2*d*e^2 + 1/2*(a*b^2*c^2 - 2*a^2*b*d*e)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b) + 2*(b^2*c^3 + a*b*d^3)*x + 3/4*sqrt(1/3)*((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)*a^2*b^2*d + 2*a*b^2*c^2 + 2*a^2*b*d*e)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)^2*a*b^2 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)*a*b*e + 16*b*c*d + 4*a*e^2)/(a*b^2))) - ((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)*b - 3*sqrt(1/3)*b*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)^2*a*b^2 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)*a*b*e + 16*b*c*d + 4*a*e^2)/(a*b^2)) + 6*e)*log(-1/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)^2*a^2*b^2*d - 2*a*b*c*d^2 + a*b*c^2*e - a^2*d*e^2 + 1/2*(a*b^2*c^2 - 2*a^2*b*d*e)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b) + 2*(b^2*c^3 + a*b*d^3)*x - 3/4*sqrt(1/3)*((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)*a^2*b^2*d + 2*a*b^2*c^2 + 2*a^2*b*d*e)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)^2*a*b^2 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(e^2/b^2 - (b*c*d + a*e^2)/(a*b^2))/(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(2*e^3/b^3 - 3*(b*c*d + a*e^2)*e/(a*b^3) + (b*c^3 + a*d^3)/(a^2*b^2) + (b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^2*b^3))^(1/3) - 2*e/b)*a*b*e + 16*b*c*d + 4*a*e^2)/(a*b^2))))/b","C",0
341,1,4588,0,1.383127," ","integrate((e*x^2+d*x+c)/x/(b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} a \log\left(\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)}^{2} a^{2} b e + b c d^{2} + b c^{2} e + 2 \, a d e^{2} - \frac{1}{6} \, {\left(a b d^{2} + 2 \, a b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} + {\left(b d^{3} + a e^{3}\right)} x\right) - {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} a + 3 \, \sqrt{\frac{1}{3}} a \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)}^{2} a^{2} b - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} a b c + 36 \, b c^{2} + 144 \, a d e}{a^{2} b}} - 18 \, c\right)} \log\left(-\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)}^{2} a^{2} b e - b c d^{2} - b c^{2} e - 2 \, a d e^{2} + \frac{1}{6} \, {\left(a b d^{2} + 2 \, a b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} + 2 \, {\left(b d^{3} + a e^{3}\right)} x + \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} a^{2} b e + 6 \, a b d^{2} - 6 \, a b c e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)}^{2} a^{2} b - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} a b c + 36 \, b c^{2} + 144 \, a d e}{a^{2} b}}\right) - {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} a - 3 \, \sqrt{\frac{1}{3}} a \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)}^{2} a^{2} b - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} a b c + 36 \, b c^{2} + 144 \, a d e}{a^{2} b}} - 18 \, c\right)} \log\left(-\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)}^{2} a^{2} b e - b c d^{2} - b c^{2} e - 2 \, a d e^{2} + \frac{1}{6} \, {\left(a b d^{2} + 2 \, a b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} + 2 \, {\left(b d^{3} + a e^{3}\right)} x - \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} a^{2} b e + 6 \, a b d^{2} - 6 \, a b c e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)}^{2} a^{2} b - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{c^{2}}{a^{2}} - \frac{b c^{2} + a d e}{a^{2} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{3}} + \frac{{\left(b c^{2} + a d e\right)} c}{18 \, a^{3} b} + \frac{b d^{3} + a e^{3}}{54 \, a^{2} b^{2}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{3} b^{2}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{a}\right)} a b c + 36 \, b c^{2} + 144 \, a d e}{a^{2} b}}\right) - 36 \, c \log\left(x\right)}{36 \, a}"," ",0,"-1/36*(2*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)*a*log(1/36*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)^2*a^2*b*e + b*c*d^2 + b*c^2*e + 2*a*d*e^2 - 1/6*(a*b*d^2 + 2*a*b*c*e)*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a) + (b*d^3 + a*e^3)*x) - (((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)*a + 3*sqrt(1/3)*a*sqrt(-(((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)^2*a^2*b - 12*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)*a*b*c + 36*b*c^2 + 144*a*d*e)/(a^2*b)) - 18*c)*log(-1/36*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)^2*a^2*b*e - b*c*d^2 - b*c^2*e - 2*a*d*e^2 + 1/6*(a*b*d^2 + 2*a*b*c*e)*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a) + 2*(b*d^3 + a*e^3)*x + 1/12*sqrt(1/3)*(((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)*a^2*b*e + 6*a*b*d^2 - 6*a*b*c*e)*sqrt(-(((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)^2*a^2*b - 12*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)*a*b*c + 36*b*c^2 + 144*a*d*e)/(a^2*b))) - (((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)*a - 3*sqrt(1/3)*a*sqrt(-(((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)^2*a^2*b - 12*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)*a*b*c + 36*b*c^2 + 144*a*d*e)/(a^2*b)) - 18*c)*log(-1/36*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)^2*a^2*b*e - b*c*d^2 - b*c^2*e - 2*a*d*e^2 + 1/6*(a*b*d^2 + 2*a*b*c*e)*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a) + 2*(b*d^3 + a*e^3)*x - 1/12*sqrt(1/3)*(((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)*a^2*b*e + 6*a*b*d^2 - 6*a*b*c*e)*sqrt(-(((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)^2*a^2*b - 12*((-I*sqrt(3) + 1)*(c^2/a^2 - (b*c^2 + a*d*e)/(a^2*b))/(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*c^3/a^3 + 1/18*(b*c^2 + a*d*e)*c/(a^3*b) + 1/54*(b*d^3 + a*e^3)/(a^2*b^2) - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^3*b^2))^(1/3) + 6*c/a)*a*b*c + 36*b*c^2 + 144*a*d*e)/(a^2*b))) - 36*c*log(x))/a","C",0
342,1,4524,0,1.431372," ","integrate((e*x^2+d*x+c)/x^2/(b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} a x \log\left(-\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)}^{2} a^{3} b c - a b c d^{2} + 2 \, a b c^{2} e + a^{2} d e^{2} + \frac{1}{6} \, {\left(2 \, a^{2} b c d - a^{3} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} - {\left(b^{2} c^{3} - a^{2} e^{3}\right)} x\right) - 36 \, d x \log\left(x\right) - {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} a x - 3 \, \sqrt{\frac{1}{3}} a x \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)}^{2} a^{2} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} a d + 36 \, d^{2} - 144 \, c e}{a^{2}}} - 18 \, d x\right)} \log\left(\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)}^{2} a^{3} b c + a b c d^{2} - 2 \, a b c^{2} e - a^{2} d e^{2} - \frac{1}{6} \, {\left(2 \, a^{2} b c d - a^{3} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} - 2 \, {\left(b^{2} c^{3} - a^{2} e^{3}\right)} x + \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} a^{3} b c - 6 \, a^{2} b c d - 6 \, a^{3} e^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)}^{2} a^{2} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} a d + 36 \, d^{2} - 144 \, c e}{a^{2}}}\right) - {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} a x + 3 \, \sqrt{\frac{1}{3}} a x \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)}^{2} a^{2} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} a d + 36 \, d^{2} - 144 \, c e}{a^{2}}} - 18 \, d x\right)} \log\left(\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)}^{2} a^{3} b c + a b c d^{2} - 2 \, a b c^{2} e - a^{2} d e^{2} - \frac{1}{6} \, {\left(2 \, a^{2} b c d - a^{3} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} - 2 \, {\left(b^{2} c^{3} - a^{2} e^{3}\right)} x - \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} a^{3} b c - 6 \, a^{2} b c d - 6 \, a^{3} e^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)}^{2} a^{2} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{d^{2}}{a^{2}} - \frac{d^{2} - c e}{a^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{3}} + \frac{{\left(d^{2} - c e\right)} d}{18 \, a^{3}} + \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{4} b} - \frac{b^{2} c^{3} - a^{2} e^{3}}{54 \, a^{4} b}\right)}^{\frac{1}{3}} + \frac{6 \, d}{a}\right)} a d + 36 \, d^{2} - 144 \, c e}{a^{2}}}\right) + 36 \, c}{36 \, a x}"," ",0,"-1/36*(2*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)*a*x*log(-1/36*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)^2*a^3*b*c - a*b*c*d^2 + 2*a*b*c^2*e + a^2*d*e^2 + 1/6*(2*a^2*b*c*d - a^3*e^2)*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a) - (b^2*c^3 - a^2*e^3)*x) - 36*d*x*log(x) - (((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)*a*x - 3*sqrt(1/3)*a*x*sqrt(-(((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)^2*a^2 - 12*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)*a*d + 36*d^2 - 144*c*e)/a^2) - 18*d*x)*log(1/36*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)^2*a^3*b*c + a*b*c*d^2 - 2*a*b*c^2*e - a^2*d*e^2 - 1/6*(2*a^2*b*c*d - a^3*e^2)*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a) - 2*(b^2*c^3 - a^2*e^3)*x + 1/12*sqrt(1/3)*(((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)*a^3*b*c - 6*a^2*b*c*d - 6*a^3*e^2)*sqrt(-(((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)^2*a^2 - 12*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)*a*d + 36*d^2 - 144*c*e)/a^2)) - (((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)*a*x + 3*sqrt(1/3)*a*x*sqrt(-(((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)^2*a^2 - 12*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)*a*d + 36*d^2 - 144*c*e)/a^2) - 18*d*x)*log(1/36*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)^2*a^3*b*c + a*b*c*d^2 - 2*a*b*c^2*e - a^2*d*e^2 - 1/6*(2*a^2*b*c*d - a^3*e^2)*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a) - 2*(b^2*c^3 - a^2*e^3)*x - 1/12*sqrt(1/3)*(((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)*a^3*b*c - 6*a^2*b*c*d - 6*a^3*e^2)*sqrt(-(((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)^2*a^2 - 12*((-I*sqrt(3) + 1)*(d^2/a^2 - (d^2 - c*e)/a^2)/(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*d^3/a^3 + 1/18*(d^2 - c*e)*d/a^3 + 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/(a^4*b) - 1/54*(b^2*c^3 - a^2*e^3)/(a^4*b))^(1/3) + 6*d/a)*a*d + 36*d^2 - 144*c*e)/a^2)) + 36*c)/(a*x)","C",0
343,1,4279,0,1.343472," ","integrate((e*x^2+d*x+c)/x^3/(b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} a x^{2} \log\left(\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)}^{2} a^{4} d + 2 \, a b c d^{2} - a b c^{2} e + a^{2} d e^{2} + \frac{1}{6} \, {\left(a^{2} b c^{2} - 2 \, a^{3} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} + {\left(b^{2} c^{3} + a b d^{3}\right)} x\right) - 36 \, e x^{2} \log\left(x\right) + 36 \, d x - {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} a x^{2} + 3 \, \sqrt{\frac{1}{3}} a x^{2} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)}^{2} a^{3} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} a^{2} e + 144 \, b c d + 36 \, a e^{2}}{a^{3}}} - 18 \, e x^{2}\right)} \log\left(-\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)}^{2} a^{4} d - 2 \, a b c d^{2} + a b c^{2} e - a^{2} d e^{2} - \frac{1}{6} \, {\left(a^{2} b c^{2} - 2 \, a^{3} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} + 2 \, {\left(b^{2} c^{3} + a b d^{3}\right)} x + \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} a^{4} d - 6 \, a^{2} b c^{2} - 6 \, a^{3} d e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)}^{2} a^{3} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} a^{2} e + 144 \, b c d + 36 \, a e^{2}}{a^{3}}}\right) - {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} a x^{2} - 3 \, \sqrt{\frac{1}{3}} a x^{2} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)}^{2} a^{3} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} a^{2} e + 144 \, b c d + 36 \, a e^{2}}{a^{3}}} - 18 \, e x^{2}\right)} \log\left(-\frac{1}{36} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)}^{2} a^{4} d - 2 \, a b c d^{2} + a b c^{2} e - a^{2} d e^{2} - \frac{1}{6} \, {\left(a^{2} b c^{2} - 2 \, a^{3} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} + 2 \, {\left(b^{2} c^{3} + a b d^{3}\right)} x - \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} a^{4} d - 6 \, a^{2} b c^{2} - 6 \, a^{3} d e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)}^{2} a^{3} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{e^{2}}{a^{2}} - \frac{b c d + a e^{2}}{a^{3}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}}} + 9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{3}} + \frac{{\left(b c d + a e^{2}\right)} e}{18 \, a^{4}} + \frac{{\left(b c^{3} + a d^{3}\right)} b}{54 \, a^{5}} - \frac{b^{2} c^{3} + a^{2} e^{3} - {\left(d^{3} - 3 \, c d e\right)} a b}{54 \, a^{5}}\right)}^{\frac{1}{3}} + \frac{6 \, e}{a}\right)} a^{2} e + 144 \, b c d + 36 \, a e^{2}}{a^{3}}}\right) + 18 \, c}{36 \, a x^{2}}"," ",0,"-1/36*(2*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)*a*x^2*log(1/36*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)^2*a^4*d + 2*a*b*c*d^2 - a*b*c^2*e + a^2*d*e^2 + 1/6*(a^2*b*c^2 - 2*a^3*d*e)*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a) + (b^2*c^3 + a*b*d^3)*x) - 36*e*x^2*log(x) + 36*d*x - (((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)*a*x^2 + 3*sqrt(1/3)*a*x^2*sqrt(-(((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)^2*a^3 - 12*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)*a^2*e + 144*b*c*d + 36*a*e^2)/a^3) - 18*e*x^2)*log(-1/36*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)^2*a^4*d - 2*a*b*c*d^2 + a*b*c^2*e - a^2*d*e^2 - 1/6*(a^2*b*c^2 - 2*a^3*d*e)*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a) + 2*(b^2*c^3 + a*b*d^3)*x + 1/12*sqrt(1/3)*(((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)*a^4*d - 6*a^2*b*c^2 - 6*a^3*d*e)*sqrt(-(((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)^2*a^3 - 12*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)*a^2*e + 144*b*c*d + 36*a*e^2)/a^3)) - (((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)*a*x^2 - 3*sqrt(1/3)*a*x^2*sqrt(-(((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)^2*a^3 - 12*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)*a^2*e + 144*b*c*d + 36*a*e^2)/a^3) - 18*e*x^2)*log(-1/36*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)^2*a^4*d - 2*a*b*c*d^2 + a*b*c^2*e - a^2*d*e^2 - 1/6*(a^2*b*c^2 - 2*a^3*d*e)*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a) + 2*(b^2*c^3 + a*b*d^3)*x - 1/12*sqrt(1/3)*(((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)*a^4*d - 6*a^2*b*c^2 - 6*a^3*d*e)*sqrt(-(((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)^2*a^3 - 12*((-I*sqrt(3) + 1)*(e^2/a^2 - (b*c*d + a*e^2)/a^3)/(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 9*(I*sqrt(3) + 1)*(-1/27*e^3/a^3 + 1/18*(b*c*d + a*e^2)*e/a^4 + 1/54*(b*c^3 + a*d^3)*b/a^5 - 1/54*(b^2*c^3 + a^2*e^3 - (d^3 - 3*c*d*e)*a*b)/a^5)^(1/3) + 6*e/a)*a^2*e + 144*b*c*d + 36*a*e^2)/a^3)) + 18*c)/(a*x^2)","C",0
344,1,2077,0,1.208809," ","integrate(x^2*(e*x^2+d*x+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{12 \, e x^{2} + 2 \, {\left(b^{2} x^{3} + a b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b^{3} e - \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)} a b^{2} d^{2} + 8 \, a d e^{2} + {\left(b d^{3} + 8 \, a e^{3}\right)} x\right) + 12 \, d x - {\left({\left(b^{2} x^{3} + a b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(b^{2} x^{3} + a b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a b^{3} + 32 \, d e}{a b^{3}}}\right)} \log\left(-\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b^{3} e + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)} a b^{2} d^{2} - 8 \, a d e^{2} + 2 \, {\left(b d^{3} + 8 \, a e^{3}\right)} x + \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{2} b^{3} e + a b^{2} d^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a b^{3} + 32 \, d e}{a b^{3}}}\right) - {\left({\left(b^{2} x^{3} + a b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(b^{2} x^{3} + a b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a b^{3} + 32 \, d e}{a b^{3}}}\right)} \log\left(-\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b^{3} e + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)} a b^{2} d^{2} - 8 \, a d e^{2} + 2 \, {\left(b d^{3} + 8 \, a e^{3}\right)} x - \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{2} b^{3} e + a b^{2} d^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(i \, \sqrt{3} - 1\right)}}{a b^{3} {\left(\frac{b d^{3} + 8 \, a e^{3}}{a^{2} b^{5}} + \frac{b d^{3} - 8 \, a e^{3}}{a^{2} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a b^{3} + 32 \, d e}{a b^{3}}}\right) + 12 \, c}{36 \, {\left(b^{2} x^{3} + a b\right)}}"," ",0,"-1/36*(12*e*x^2 + 2*(b^2*x^3 + a*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))*log(1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))^2*a^2*b^3*e - 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))*a*b^2*d^2 + 8*a*d*e^2 + (b*d^3 + 8*a*e^3)*x) + 12*d*x - ((b^2*x^3 + a*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3))) + 3*sqrt(1/3)*(b^2*x^3 + a*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))^2*a*b^3 + 32*d*e)/(a*b^3)))*log(-1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))^2*a^2*b^3*e + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))*a*b^2*d^2 - 8*a*d*e^2 + 2*(b*d^3 + 8*a*e^3)*x + 3/2*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))*a^2*b^3*e + a*b^2*d^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))^2*a*b^3 + 32*d*e)/(a*b^3))) - ((b^2*x^3 + a*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3))) - 3*sqrt(1/3)*(b^2*x^3 + a*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))^2*a*b^3 + 32*d*e)/(a*b^3)))*log(-1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))^2*a^2*b^3*e + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))*a*b^2*d^2 - 8*a*d*e^2 + 2*(b*d^3 + 8*a*e^3)*x - 3/2*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))*a^2*b^3*e + a*b^2*d^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3) + 4*(1/2)^(2/3)*d*e*(I*sqrt(3) - 1)/(a*b^3*((b*d^3 + 8*a*e^3)/(a^2*b^5) + (b*d^3 - 8*a*e^3)/(a^2*b^5))^(1/3)))^2*a*b^3 + 32*d*e)/(a*b^3))) + 12*c)/(b^2*x^3 + a*b)","C",0
345,1,2358,0,1.218665," ","integrate(x*(e*x^2+d*x+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{12 \, b c x^{2} - 12 \, a e x - 2 \, {\left(a b^{2} x^{3} + a^{2} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{3} c - \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{3} b e^{2} + 2 \, a b c^{2} e + {\left(b^{2} c^{3} + a^{2} e^{3}\right)} x\right) - 12 \, a d + {\left({\left(a b^{2} x^{3} + a^{2} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x^{3} + a^{2} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b^{2} + 16 \, c e}{a^{2} b^{2}}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{3} c + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{3} b e^{2} - 2 \, a b c^{2} e + 2 \, {\left(b^{2} c^{3} + a^{2} e^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{3} b^{3} c + 2 \, a^{3} b e^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b^{2} + 16 \, c e}{a^{2} b^{2}}}\right) + {\left({\left(a b^{2} x^{3} + a^{2} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x^{3} + a^{2} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b^{2} + 16 \, c e}{a^{2} b^{2}}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{3} c + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{3} b e^{2} - 2 \, a b c^{2} e + 2 \, {\left(b^{2} c^{3} + a^{2} e^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{3} b^{3} c + 2 \, a^{3} b e^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{2} b^{2} {\left(\frac{b^{2} c^{3} + a^{2} e^{3}}{a^{4} b^{4}} - \frac{b^{2} c^{3} - a^{2} e^{3}}{a^{4} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b^{2} + 16 \, c e}{a^{2} b^{2}}}\right)}{36 \, {\left(a b^{2} x^{3} + a^{2} b\right)}}"," ",0,"1/36*(12*b*c*x^2 - 12*a*e*x - 2*(a*b^2*x^3 + a^2*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))*log(1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))^2*a^3*b^3*c - 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))*a^3*b*e^2 + 2*a*b*c^2*e + (b^2*c^3 + a^2*e^3)*x) - 12*a*d + ((a*b^2*x^3 + a^2*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3))) + 3*sqrt(1/3)*(a*b^2*x^3 + a^2*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))^2*a^2*b^2 + 16*c*e)/(a^2*b^2)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))^2*a^3*b^3*c + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))*a^3*b*e^2 - 2*a*b*c^2*e + 2*(b^2*c^3 + a^2*e^3)*x + 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))*a^3*b^3*c + 2*a^3*b*e^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))^2*a^2*b^2 + 16*c*e)/(a^2*b^2))) + ((a*b^2*x^3 + a^2*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3))) - 3*sqrt(1/3)*(a*b^2*x^3 + a^2*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))^2*a^2*b^2 + 16*c*e)/(a^2*b^2)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))^2*a^3*b^3*c + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))*a^3*b*e^2 - 2*a*b*c^2*e + 2*(b^2*c^3 + a^2*e^3)*x - 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))*a^3*b^3*c + 2*a^3*b*e^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3) - 2*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^2*b^2*((b^2*c^3 + a^2*e^3)/(a^4*b^4) - (b^2*c^3 - a^2*e^3)/(a^4*b^4))^(1/3)))^2*a^2*b^2 + 16*c*e)/(a^2*b^2))))/(a*b^2*x^3 + a^2*b)","C",0
346,1,2118,0,1.202904," ","integrate((e*x^2+d*x+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{12 \, b d x^{2} + 12 \, b c x - 2 \, {\left(a b^{2} x^{3} + a^{2} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b d - 2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b c^{2} + 4 \, a c d^{2} + {\left(8 \, b c^{3} + a d^{3}\right)} x\right) - 12 \, a e + {\left({\left(a b^{2} x^{3} + a^{2} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x^{3} + a^{2} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b d + 2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b c^{2} - 4 \, a c d^{2} + 2 \, {\left(8 \, b c^{3} + a d^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b d + 8 \, a^{2} b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right) + {\left({\left(a b^{2} x^{3} + a^{2} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x^{3} + a^{2} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b d + 2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{2} b c^{2} - 4 \, a c d^{2} + 2 \, {\left(8 \, b c^{3} + a d^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b d + 8 \, a^{2} b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(i \, \sqrt{3} - 1\right)}}{a^{3} b {\left(\frac{8 \, b c^{3} + a d^{3}}{a^{5} b^{2}} + \frac{8 \, b c^{3} - a d^{3}}{a^{5} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b + 32 \, c d}{a^{3} b}}\right)}{36 \, {\left(a b^{2} x^{3} + a^{2} b\right)}}"," ",0,"1/36*(12*b*d*x^2 + 12*b*c*x - 2*(a*b^2*x^3 + a^2*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*log(1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^4*b*d - 2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^2*b*c^2 + 4*a*c*d^2 + (8*b*c^3 + a*d^3)*x) - 12*a*e + ((a*b^2*x^3 + a^2*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3))) + 3*sqrt(1/3)*(a*b^2*x^3 + a^2*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^4*b*d + 2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^2*b*c^2 - 4*a*c*d^2 + 2*(8*b*c^3 + a*d^3)*x + 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^4*b*d + 8*a^2*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b))) + ((a*b^2*x^3 + a^2*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3))) - 3*sqrt(1/3)*(a*b^2*x^3 + a^2*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^4*b*d + 2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^2*b*c^2 - 4*a*c*d^2 + 2*(8*b*c^3 + a*d^3)*x - 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))*a^4*b*d + 8*a^2*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3) + 4*(1/2)^(2/3)*c*d*(I*sqrt(3) - 1)/(a^3*b*((8*b*c^3 + a*d^3)/(a^5*b^2) + (8*b*c^3 - a*d^3)/(a^5*b^2))^(1/3)))^2*a^3*b + 32*c*d)/(a^3*b))))/(a*b^2*x^3 + a^2*b)","C",0
347,1,5018,0,1.420318," ","integrate((e*x^2+d*x+c)/x/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{108 \, a e x^{2} + 108 \, a d x - 2 \, {\left(a^{2} b x^{3} + a^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} \log\left(\frac{1}{324} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b e + 12 \, b c d^{2} + 9 \, b c^{2} e + 4 \, a d e^{2} - \frac{1}{9} \, {\left(2 \, a^{2} b d^{2} + 3 \, a^{2} b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} + {\left(8 \, b d^{3} + a e^{3}\right)} x\right) + 108 \, a c - {\left(162 \, b c x^{3} - {\left(a^{2} b x^{3} + a^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} + 162 \, a c - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b x^{3} + a^{3}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} a^{2} b c + 2916 \, b c^{2} + 2592 \, a d e}{a^{4} b}}\right)} \log\left(-\frac{1}{324} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b e - 12 \, b c d^{2} - 9 \, b c^{2} e - 4 \, a d e^{2} + \frac{1}{9} \, {\left(2 \, a^{2} b d^{2} + 3 \, a^{2} b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} + 2 \, {\left(8 \, b d^{3} + a e^{3}\right)} x + \frac{1}{108} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} a^{4} b e + 72 \, a^{2} b d^{2} - 54 \, a^{2} b c e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} a^{2} b c + 2916 \, b c^{2} + 2592 \, a d e}{a^{4} b}}\right) - {\left(162 \, b c x^{3} - {\left(a^{2} b x^{3} + a^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} + 162 \, a c + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b x^{3} + a^{3}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} a^{2} b c + 2916 \, b c^{2} + 2592 \, a d e}{a^{4} b}}\right)} \log\left(-\frac{1}{324} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b e - 12 \, b c d^{2} - 9 \, b c^{2} e - 4 \, a d e^{2} + \frac{1}{9} \, {\left(2 \, a^{2} b d^{2} + 3 \, a^{2} b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} + 2 \, {\left(8 \, b d^{3} + a e^{3}\right)} x - \frac{1}{108} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} a^{4} b e + 72 \, a^{2} b d^{2} - 54 \, a^{2} b c e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b c^{2} + 2 \, a d e}{a^{4} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b c^{2} + 2 \, a d e\right)} c}{162 \, a^{6} b} + \frac{8 \, b d^{3} + a e^{3}}{1458 \, a^{5} b^{2}} - \frac{27 \, b^{2} c^{3} + a^{2} e^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b}{1458 \, a^{6} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} a^{2} b c + 2916 \, b c^{2} + 2592 \, a d e}{a^{4} b}}\right) + 324 \, {\left(b c x^{3} + a c\right)} \log\left(x\right)}{324 \, {\left(a^{2} b x^{3} + a^{3}\right)}}"," ",0,"1/324*(108*a*e*x^2 + 108*a*d*x - 2*(a^2*b*x^3 + a^3)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)*log(1/324*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)^2*a^4*b*e + 12*b*c*d^2 + 9*b*c^2*e + 4*a*d*e^2 - 1/9*(2*a^2*b*d^2 + 3*a^2*b*c*e)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2) + (8*b*d^3 + a*e^3)*x) + 108*a*c - (162*b*c*x^3 - (a^2*b*x^3 + a^3)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2) + 162*a*c - 3*sqrt(1/3)*(a^2*b*x^3 + a^3)*sqrt(-(((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)^2*a^4*b - 108*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)*a^2*b*c + 2916*b*c^2 + 2592*a*d*e)/(a^4*b)))*log(-1/324*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)^2*a^4*b*e - 12*b*c*d^2 - 9*b*c^2*e - 4*a*d*e^2 + 1/9*(2*a^2*b*d^2 + 3*a^2*b*c*e)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2) + 2*(8*b*d^3 + a*e^3)*x + 1/108*sqrt(1/3)*(((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)*a^4*b*e + 72*a^2*b*d^2 - 54*a^2*b*c*e)*sqrt(-(((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)^2*a^4*b - 108*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)*a^2*b*c + 2916*b*c^2 + 2592*a*d*e)/(a^4*b))) - (162*b*c*x^3 - (a^2*b*x^3 + a^3)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2) + 162*a*c + 3*sqrt(1/3)*(a^2*b*x^3 + a^3)*sqrt(-(((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)^2*a^4*b - 108*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)*a^2*b*c + 2916*b*c^2 + 2592*a*d*e)/(a^4*b)))*log(-1/324*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)^2*a^4*b*e - 12*b*c*d^2 - 9*b*c^2*e - 4*a*d*e^2 + 1/9*(2*a^2*b*d^2 + 3*a^2*b*c*e)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2) + 2*(8*b*d^3 + a*e^3)*x - 1/108*sqrt(1/3)*(((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)*a^4*b*e + 72*a^2*b*d^2 - 54*a^2*b*c*e)*sqrt(-(((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)^2*a^4*b - 108*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b*c^2 + 2*a*d*e)/(a^4*b))/(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b*c^2 + 2*a*d*e)*c/(a^6*b) + 1/1458*(8*b*d^3 + a*e^3)/(a^5*b^2) - 1/1458*(27*b^2*c^3 + a^2*e^3 - 2*(4*d^3 - 9*c*d*e)*a*b)/(a^6*b^2))^(1/3) + 54*c/a^2)*a^2*b*c + 2916*b*c^2 + 2592*a*d*e)/(a^4*b))) + 324*(b*c*x^3 + a*c)*log(x))/(a^2*b*x^3 + a^3)","C",0
348,1,4976,0,1.470664," ","integrate((e*x^2+d*x+c)/x^2/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{432 \, b c x^{3} - 108 \, a e x^{2} - 108 \, a d x + 2 \, {\left(a^{2} b x^{4} + a^{3} x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} \log\left(-\frac{1}{324} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{5} b c - 9 \, a b c d^{2} + 16 \, a b c^{2} e + 3 \, a^{2} d e^{2} + \frac{1}{18} \, {\left(6 \, a^{3} b c d - a^{4} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} - 2 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)} x\right) + 324 \, a c + {\left(162 \, b d x^{4} + 162 \, a d x - {\left(a^{2} b x^{4} + a^{3} x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b x^{4} + a^{3} x\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{4} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} a^{2} d + 2916 \, d^{2} - 10368 \, c e}{a^{4}}}\right)} \log\left(\frac{1}{324} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{5} b c + 9 \, a b c d^{2} - 16 \, a b c^{2} e - 3 \, a^{2} d e^{2} - \frac{1}{18} \, {\left(6 \, a^{3} b c d - a^{4} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} - 4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)} x + \frac{1}{108} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} a^{5} b c - 54 \, a^{3} b c d - 18 \, a^{4} e^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{4} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} a^{2} d + 2916 \, d^{2} - 10368 \, c e}{a^{4}}}\right) + {\left(162 \, b d x^{4} + 162 \, a d x - {\left(a^{2} b x^{4} + a^{3} x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b x^{4} + a^{3} x\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{4} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} a^{2} d + 2916 \, d^{2} - 10368 \, c e}{a^{4}}}\right)} \log\left(\frac{1}{324} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{5} b c + 9 \, a b c d^{2} - 16 \, a b c^{2} e - 3 \, a^{2} d e^{2} - \frac{1}{18} \, {\left(6 \, a^{3} b c d - a^{4} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} - 4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)} x - \frac{1}{108} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} a^{5} b c - 54 \, a^{3} b c d - 18 \, a^{4} e^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{4} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{9 \, d^{2} - 8 \, c e}{a^{4}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(9 \, d^{2} - 8 \, c e\right)} d}{162 \, a^{6}} + \frac{64 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 9 \, {\left(3 \, d^{3} - 8 \, c d e\right)} a b}{1458 \, a^{7} b} - \frac{4 \, {\left(8 \, b^{2} c^{3} - a^{2} e^{3}\right)}}{729 \, a^{7} b}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} a^{2} d + 2916 \, d^{2} - 10368 \, c e}{a^{4}}}\right) - 324 \, {\left(b d x^{4} + a d x\right)} \log\left(x\right)}{324 \, {\left(a^{2} b x^{4} + a^{3} x\right)}}"," ",0,"-1/324*(432*b*c*x^3 - 108*a*e*x^2 - 108*a*d*x + 2*(a^2*b*x^4 + a^3*x)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)*log(-1/324*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)^2*a^5*b*c - 9*a*b*c*d^2 + 16*a*b*c^2*e + 3*a^2*d*e^2 + 1/18*(6*a^3*b*c*d - a^4*e^2)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2) - 2*(8*b^2*c^3 - a^2*e^3)*x) + 324*a*c + (162*b*d*x^4 + 162*a*d*x - (a^2*b*x^4 + a^3*x)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2) + 3*sqrt(1/3)*(a^2*b*x^4 + a^3*x)*sqrt(-(((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)^2*a^4 - 108*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)*a^2*d + 2916*d^2 - 10368*c*e)/a^4))*log(1/324*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)^2*a^5*b*c + 9*a*b*c*d^2 - 16*a*b*c^2*e - 3*a^2*d*e^2 - 1/18*(6*a^3*b*c*d - a^4*e^2)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2) - 4*(8*b^2*c^3 - a^2*e^3)*x + 1/108*sqrt(1/3)*(((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)*a^5*b*c - 54*a^3*b*c*d - 18*a^4*e^2)*sqrt(-(((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)^2*a^4 - 108*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)*a^2*d + 2916*d^2 - 10368*c*e)/a^4)) + (162*b*d*x^4 + 162*a*d*x - (a^2*b*x^4 + a^3*x)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2) - 3*sqrt(1/3)*(a^2*b*x^4 + a^3*x)*sqrt(-(((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)^2*a^4 - 108*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)*a^2*d + 2916*d^2 - 10368*c*e)/a^4))*log(1/324*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)^2*a^5*b*c + 9*a*b*c*d^2 - 16*a*b*c^2*e - 3*a^2*d*e^2 - 1/18*(6*a^3*b*c*d - a^4*e^2)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2) - 4*(8*b^2*c^3 - a^2*e^3)*x - 1/108*sqrt(1/3)*(((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)*a^5*b*c - 54*a^3*b*c*d - 18*a^4*e^2)*sqrt(-(((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)^2*a^4 - 108*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (9*d^2 - 8*c*e)/a^4)/(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(9*d^2 - 8*c*e)*d/a^6 + 1/1458*(64*b^2*c^3 + 8*a^2*e^3 - 9*(3*d^3 - 8*c*d*e)*a*b)/(a^7*b) - 4/729*(8*b^2*c^3 - a^2*e^3)/(a^7*b))^(1/3) + 54*d/a^2)*a^2*d + 2916*d^2 - 10368*c*e)/a^4)) - 324*(b*d*x^4 + a*d*x)*log(x))/(a^2*b*x^4 + a^3*x)","C",0
349,1,4774,0,1.409309," ","integrate((e*x^2+d*x+c)/x^3/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{432 \, b d x^{4} + 270 \, b c x^{3} - 108 \, a e x^{2} + 324 \, a d x + 2 \, {\left(a^{2} b x^{5} + a^{3} x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} \log\left(\frac{1}{81} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{6} d + 160 \, a b c d^{2} - 75 \, a b c^{2} e + 36 \, a^{2} d e^{2} + \frac{1}{18} \, {\left(25 \, a^{3} b c^{2} - 24 \, a^{4} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} + {\left(125 \, b^{2} c^{3} + 64 \, a b d^{3}\right)} x\right) + 162 \, a c + {\left(162 \, b e x^{5} + 162 \, a e x^{2} - {\left(a^{2} b x^{5} + a^{3} x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b x^{5} + a^{3} x^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{5} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} a^{3} e + 25920 \, b c d + 2916 \, a e^{2}}{a^{5}}}\right)} \log\left(-\frac{1}{81} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{6} d - 160 \, a b c d^{2} + 75 \, a b c^{2} e - 36 \, a^{2} d e^{2} - \frac{1}{18} \, {\left(25 \, a^{3} b c^{2} - 24 \, a^{4} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} + 2 \, {\left(125 \, b^{2} c^{3} + 64 \, a b d^{3}\right)} x + \frac{1}{54} \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} a^{6} d - 225 \, a^{3} b c^{2} - 108 \, a^{4} d e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{5} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} a^{3} e + 25920 \, b c d + 2916 \, a e^{2}}{a^{5}}}\right) + {\left(162 \, b e x^{5} + 162 \, a e x^{2} - {\left(a^{2} b x^{5} + a^{3} x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b x^{5} + a^{3} x^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{5} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} a^{3} e + 25920 \, b c d + 2916 \, a e^{2}}{a^{5}}}\right)} \log\left(-\frac{1}{81} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{6} d - 160 \, a b c d^{2} + 75 \, a b c^{2} e - 36 \, a^{2} d e^{2} - \frac{1}{18} \, {\left(25 \, a^{3} b c^{2} - 24 \, a^{4} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} + 2 \, {\left(125 \, b^{2} c^{3} + 64 \, a b d^{3}\right)} x - \frac{1}{54} \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} a^{6} d - 225 \, a^{3} b c^{2} - 108 \, a^{4} d e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{5} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b c d + 9 \, a e^{2}}{a^{5}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b c d + 9 \, a e^{2}\right)} e}{162 \, a^{7}} + \frac{{\left(125 \, b c^{3} + 64 \, a d^{3}\right)} b}{1458 \, a^{8}} - \frac{125 \, b^{2} c^{3} + 27 \, a^{2} e^{3} - 4 \, {\left(16 \, d^{3} - 45 \, c d e\right)} a b}{1458 \, a^{8}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} a^{3} e + 25920 \, b c d + 2916 \, a e^{2}}{a^{5}}}\right) - 324 \, {\left(b e x^{5} + a e x^{2}\right)} \log\left(x\right)}{324 \, {\left(a^{2} b x^{5} + a^{3} x^{2}\right)}}"," ",0,"-1/324*(432*b*d*x^4 + 270*b*c*x^3 - 108*a*e*x^2 + 324*a*d*x + 2*(a^2*b*x^5 + a^3*x^2)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)*log(1/81*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)^2*a^6*d + 160*a*b*c*d^2 - 75*a*b*c^2*e + 36*a^2*d*e^2 + 1/18*(25*a^3*b*c^2 - 24*a^4*d*e)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2) + (125*b^2*c^3 + 64*a*b*d^3)*x) + 162*a*c + (162*b*e*x^5 + 162*a*e*x^2 - (a^2*b*x^5 + a^3*x^2)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2) - 3*sqrt(1/3)*(a^2*b*x^5 + a^3*x^2)*sqrt(-(((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)^2*a^5 - 108*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)*a^3*e + 25920*b*c*d + 2916*a*e^2)/a^5))*log(-1/81*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)^2*a^6*d - 160*a*b*c*d^2 + 75*a*b*c^2*e - 36*a^2*d*e^2 - 1/18*(25*a^3*b*c^2 - 24*a^4*d*e)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2) + 2*(125*b^2*c^3 + 64*a*b*d^3)*x + 1/54*sqrt(1/3)*(2*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)*a^6*d - 225*a^3*b*c^2 - 108*a^4*d*e)*sqrt(-(((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)^2*a^5 - 108*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)*a^3*e + 25920*b*c*d + 2916*a*e^2)/a^5)) + (162*b*e*x^5 + 162*a*e*x^2 - (a^2*b*x^5 + a^3*x^2)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2) + 3*sqrt(1/3)*(a^2*b*x^5 + a^3*x^2)*sqrt(-(((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)^2*a^5 - 108*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)*a^3*e + 25920*b*c*d + 2916*a*e^2)/a^5))*log(-1/81*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)^2*a^6*d - 160*a*b*c*d^2 + 75*a*b*c^2*e - 36*a^2*d*e^2 - 1/18*(25*a^3*b*c^2 - 24*a^4*d*e)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2) + 2*(125*b^2*c^3 + 64*a*b*d^3)*x - 1/54*sqrt(1/3)*(2*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)*a^6*d - 225*a^3*b*c^2 - 108*a^4*d*e)*sqrt(-(((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)^2*a^5 - 108*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b*c*d + 9*a*e^2)/a^5)/(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b*c*d + 9*a*e^2)*e/a^7 + 1/1458*(125*b*c^3 + 64*a*d^3)*b/a^8 - 1/1458*(125*b^2*c^3 + 27*a^2*e^3 - 4*(16*d^3 - 45*c*d*e)*a*b)/a^8)^(1/3) + 54*e/a^2)*a^3*e + 25920*b*c*d + 2916*a*e^2)/a^5)) - 324*(b*e*x^5 + a*e*x^2)*log(x))/(a^2*b*x^5 + a^3*x^2)","C",0
350,1,5373,0,1.560418," ","integrate((e*x^2+d*x+c)/x^4/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{48 \, a b e x^{5} + 30 \, a b d x^{4} + 24 \, a b c x^{3} + 36 \, a^{2} e x^{2} + 18 \, a^{2} d x + 12 \, a^{2} c + 2 \, {\left(a^{3} b x^{6} + a^{4} x^{3}\right)} {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} \log\left({\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)}^{2} a^{6} e + 150 \, b^{2} c d^{2} + 144 \, b^{2} c^{2} e + 160 \, a b d e^{2} + \frac{1}{2} \, {\left(25 \, a^{3} b d^{2} + 48 \, a^{3} b c e\right)} {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} + {\left(125 \, b^{2} d^{3} + 64 \, a b e^{3}\right)} x\right) - {\left(36 \, b^{2} c x^{6} + 36 \, a b c x^{3} + {\left(a^{3} b x^{6} + a^{4} x^{3}\right)} {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b x^{6} + a^{4} x^{3}\right)} \sqrt{-\frac{{\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)}^{2} a^{6} + 24 \, {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} a^{3} b c + 144 \, b^{2} c^{2} + 320 \, a b d e}{a^{6}}}\right)} \log\left(-{\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)}^{2} a^{6} e - 150 \, b^{2} c d^{2} - 144 \, b^{2} c^{2} e - 160 \, a b d e^{2} - \frac{1}{2} \, {\left(25 \, a^{3} b d^{2} + 48 \, a^{3} b c e\right)} {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} + 2 \, {\left(125 \, b^{2} d^{3} + 64 \, a b e^{3}\right)} x + \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} a^{6} e - 25 \, a^{3} b d^{2} + 24 \, a^{3} b c e\right)} \sqrt{-\frac{{\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)}^{2} a^{6} + 24 \, {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} a^{3} b c + 144 \, b^{2} c^{2} + 320 \, a b d e}{a^{6}}}\right) - {\left(36 \, b^{2} c x^{6} + 36 \, a b c x^{3} + {\left(a^{3} b x^{6} + a^{4} x^{3}\right)} {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b x^{6} + a^{4} x^{3}\right)} \sqrt{-\frac{{\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)}^{2} a^{6} + 24 \, {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} a^{3} b c + 144 \, b^{2} c^{2} + 320 \, a b d e}{a^{6}}}\right)} \log\left(-{\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)}^{2} a^{6} e - 150 \, b^{2} c d^{2} - 144 \, b^{2} c^{2} e - 160 \, a b d e^{2} - \frac{1}{2} \, {\left(25 \, a^{3} b d^{2} + 48 \, a^{3} b c e\right)} {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} + 2 \, {\left(125 \, b^{2} d^{3} + 64 \, a b e^{3}\right)} x - \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} a^{6} e - 25 \, a^{3} b d^{2} + 24 \, a^{3} b c e\right)} \sqrt{-\frac{{\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)}^{2} a^{6} + 24 \, {\left(\frac{8 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, b^{2} c^{2}}{a^{6}} - \frac{9 \, b^{2} c^{2} + 5 \, a b d e}{a^{6}}\right)}}{{\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{432 \, b^{3} c^{3}}{a^{9}} + \frac{{\left(125 \, b d^{3} + 64 \, a e^{3}\right)} b}{a^{8}} - \frac{72 \, {\left(9 \, b^{2} c^{2} + 5 \, a b d e\right)} b c}{a^{9}} + \frac{216 \, b^{3} c^{3} + 64 \, a^{2} b e^{3} - 5 \, {\left(25 \, d^{3} - 72 \, c d e\right)} a b^{2}}{a^{9}}\right)}^{\frac{1}{3}} - \frac{12 \, b c}{a^{3}}\right)} a^{3} b c + 144 \, b^{2} c^{2} + 320 \, a b d e}{a^{6}}}\right) + 72 \, {\left(b^{2} c x^{6} + a b c x^{3}\right)} \log\left(x\right)}{36 \, {\left(a^{3} b x^{6} + a^{4} x^{3}\right)}}"," ",0,"-1/36*(48*a*b*e*x^5 + 30*a*b*d*x^4 + 24*a*b*c*x^3 + 36*a^2*e*x^2 + 18*a^2*d*x + 12*a^2*c + 2*(a^3*b*x^6 + a^4*x^3)*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)*log((8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)^2*a^6*e + 150*b^2*c*d^2 + 144*b^2*c^2*e + 160*a*b*d*e^2 + 1/2*(25*a^3*b*d^2 + 48*a^3*b*c*e)*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3) + (125*b^2*d^3 + 64*a*b*e^3)*x) - (36*b^2*c*x^6 + 36*a*b*c*x^3 + (a^3*b*x^6 + a^4*x^3)*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3) + 3*sqrt(1/3)*(a^3*b*x^6 + a^4*x^3)*sqrt(-((8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)^2*a^6 + 24*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)*a^3*b*c + 144*b^2*c^2 + 320*a*b*d*e)/a^6))*log(-(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)^2*a^6*e - 150*b^2*c*d^2 - 144*b^2*c^2*e - 160*a*b*d*e^2 - 1/2*(25*a^3*b*d^2 + 48*a^3*b*c*e)*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3) + 2*(125*b^2*d^3 + 64*a*b*e^3)*x + 3/2*sqrt(1/3)*(2*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)*a^6*e - 25*a^3*b*d^2 + 24*a^3*b*c*e)*sqrt(-((8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)^2*a^6 + 24*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)*a^3*b*c + 144*b^2*c^2 + 320*a*b*d*e)/a^6)) - (36*b^2*c*x^6 + 36*a*b*c*x^3 + (a^3*b*x^6 + a^4*x^3)*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3) - 3*sqrt(1/3)*(a^3*b*x^6 + a^4*x^3)*sqrt(-((8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)^2*a^6 + 24*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)*a^3*b*c + 144*b^2*c^2 + 320*a*b*d*e)/a^6))*log(-(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)^2*a^6*e - 150*b^2*c*d^2 - 144*b^2*c^2*e - 160*a*b*d*e^2 - 1/2*(25*a^3*b*d^2 + 48*a^3*b*c*e)*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3) + 2*(125*b^2*d^3 + 64*a*b*e^3)*x - 3/2*sqrt(1/3)*(2*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)*a^6*e - 25*a^3*b*d^2 + 24*a^3*b*c*e)*sqrt(-((8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)^2*a^6 + 24*(8*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*b^2*c^2/a^6 - (9*b^2*c^2 + 5*a*b*d*e)/a^6)/(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(432*b^3*c^3/a^9 + (125*b*d^3 + 64*a*e^3)*b/a^8 - 72*(9*b^2*c^2 + 5*a*b*d*e)*b*c/a^9 + (216*b^3*c^3 + 64*a^2*b*e^3 - 5*(25*d^3 - 72*c*d*e)*a*b^2)/a^9)^(1/3) - 12*b*c/a^3)*a^3*b*c + 144*b^2*c^2 + 320*a*b*d*e)/a^6)) + 72*(b^2*c*x^6 + a*b*c*x^3)*log(x))/(a^3*b*x^6 + a^4*x^3)","C",0
351,1,2163,0,1.279172," ","integrate(x^2*(e*x^2+d*x+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{12 \, b e x^{5} + 6 \, b d x^{4} - 6 \, a e x^{2} - 12 \, a d x - 2 \, {\left(a b^{3} x^{6} + 2 \, a^{2} b^{2} x^{3} + a^{3} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{3} e - \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{2} b^{2} d^{2} + 2 \, a d e^{2} + {\left(b d^{3} + a e^{3}\right)} x\right) - 18 \, a c + {\left({\left(a b^{3} x^{6} + 2 \, a^{2} b^{2} x^{3} + a^{3} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{6} + 2 \, a^{2} b^{2} x^{3} + a^{3} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{3} + 16 \, d e}{a^{3} b^{3}}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{3} e + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{2} b^{2} d^{2} - 2 \, a d e^{2} + 2 \, {\left(b d^{3} + a e^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{4} b^{3} e + 2 \, a^{2} b^{2} d^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{3} + 16 \, d e}{a^{3} b^{3}}}\right) + {\left({\left(a b^{3} x^{6} + 2 \, a^{2} b^{2} x^{3} + a^{3} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{6} + 2 \, a^{2} b^{2} x^{3} + a^{3} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{3} + 16 \, d e}{a^{3} b^{3}}}\right)} \log\left(-\frac{1}{4} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{3} e + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{2} b^{2} d^{2} - 2 \, a d e^{2} + 2 \, {\left(b d^{3} + a e^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{4} b^{3} e + 2 \, a^{2} b^{2} d^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{3} {\left(\frac{b d^{3} + a e^{3}}{a^{5} b^{5}} + \frac{b d^{3} - a e^{3}}{a^{5} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{3} + 16 \, d e}{a^{3} b^{3}}}\right)}{108 \, {\left(a b^{3} x^{6} + 2 \, a^{2} b^{2} x^{3} + a^{3} b\right)}}"," ",0,"1/108*(12*b*e*x^5 + 6*b*d*x^4 - 6*a*e*x^2 - 12*a*d*x - 2*(a*b^3*x^6 + 2*a^2*b^2*x^3 + a^3*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))*log(1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))^2*a^4*b^3*e - 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))*a^2*b^2*d^2 + 2*a*d*e^2 + (b*d^3 + a*e^3)*x) - 18*a*c + ((a*b^3*x^6 + 2*a^2*b^2*x^3 + a^3*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3))) + 3*sqrt(1/3)*(a*b^3*x^6 + 2*a^2*b^2*x^3 + a^3*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))^2*a^3*b^3 + 16*d*e)/(a^3*b^3)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))^2*a^4*b^3*e + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))*a^2*b^2*d^2 - 2*a*d*e^2 + 2*(b*d^3 + a*e^3)*x + 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))*a^4*b^3*e + 2*a^2*b^2*d^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))^2*a^3*b^3 + 16*d*e)/(a^3*b^3))) + ((a*b^3*x^6 + 2*a^2*b^2*x^3 + a^3*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3))) - 3*sqrt(1/3)*(a*b^3*x^6 + 2*a^2*b^2*x^3 + a^3*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))^2*a^3*b^3 + 16*d*e)/(a^3*b^3)))*log(-1/4*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))^2*a^4*b^3*e + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))*a^2*b^2*d^2 - 2*a*d*e^2 + 2*(b*d^3 + a*e^3)*x - 3/4*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))*a^4*b^3*e + 2*a^2*b^2*d^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3) - 2*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^3*b^3*((b*d^3 + a*e^3)/(a^5*b^5) + (b*d^3 - a*e^3)/(a^5*b^5))^(1/3)))^2*a^3*b^3 + 16*d*e)/(a^3*b^3))))/(a*b^3*x^6 + 2*a^2*b^2*x^3 + a^3*b)","C",0
352,1,2519,0,1.324437," ","integrate(x*(e*x^2+d*x+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{24 \, b^{2} c x^{5} + 6 \, a b e x^{4} + 42 \, a b c x^{2} - 12 \, a^{2} e x - 18 \, a^{2} d - 2 \, {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} c - \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{4} b e^{2} + 8 \, a b c^{2} e + {\left(8 \, b^{2} c^{3} + a^{2} e^{3}\right)} x\right) + {\left({\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{2} + 32 \, c e}{a^{4} b^{2}}}\right)} \log\left(-\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} c + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{4} b e^{2} - 8 \, a b c^{2} e + 2 \, {\left(8 \, b^{2} c^{3} + a^{2} e^{3}\right)} x + \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{5} b^{3} c + a^{4} b e^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{2} + 32 \, c e}{a^{4} b^{2}}}\right) + {\left({\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{2} + 32 \, c e}{a^{4} b^{2}}}\right)} \log\left(-\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} c + \frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{4} b e^{2} - 8 \, a b c^{2} e + 2 \, {\left(8 \, b^{2} c^{3} + a^{2} e^{3}\right)} x - \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{5} b^{3} c + a^{4} b e^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(i \, \sqrt{3} - 1\right)}}{a^{4} b^{2} {\left(\frac{8 \, b^{2} c^{3} + a^{2} e^{3}}{a^{7} b^{4}} - \frac{8 \, b^{2} c^{3} - a^{2} e^{3}}{a^{7} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{2} + 32 \, c e}{a^{4} b^{2}}}\right)}{108 \, {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)}}"," ",0,"1/108*(24*b^2*c*x^5 + 6*a*b*e*x^4 + 42*a*b*c*x^2 - 12*a^2*e*x - 18*a^2*d - 2*(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))*log(1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))^2*a^5*b^3*c - 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))*a^4*b*e^2 + 8*a*b*c^2*e + (8*b^2*c^3 + a^2*e^3)*x) + ((a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3))) + 3*sqrt(1/3)*(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))^2*a^4*b^2 + 32*c*e)/(a^4*b^2)))*log(-1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))^2*a^5*b^3*c + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))*a^4*b*e^2 - 8*a*b*c^2*e + 2*(8*b^2*c^3 + a^2*e^3)*x + 3/2*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))*a^5*b^3*c + a^4*b*e^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))^2*a^4*b^2 + 32*c*e)/(a^4*b^2))) + ((a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3))) - 3*sqrt(1/3)*(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))^2*a^4*b^2 + 32*c*e)/(a^4*b^2)))*log(-1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))^2*a^5*b^3*c + 1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))*a^4*b*e^2 - 8*a*b*c^2*e + 2*(8*b^2*c^3 + a^2*e^3)*x - 3/2*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))*a^5*b^3*c + a^4*b*e^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3) + 4*(1/2)^(2/3)*c*e*(I*sqrt(3) - 1)/(a^4*b^2*((8*b^2*c^3 + a^2*e^3)/(a^7*b^4) - (8*b^2*c^3 - a^2*e^3)/(a^7*b^4))^(1/3)))^2*a^4*b^2 + 32*c*e)/(a^4*b^2))))/(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)","C",0
353,1,2251,0,1.185037," ","integrate((e*x^2+d*x+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{24 \, b^{2} d x^{5} + 30 \, b^{2} c x^{4} + 42 \, a b d x^{2} + 48 \, a b c x - 18 \, a^{2} e - 2 \, {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b d - \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{3} b c^{2} + 40 \, a c d^{2} + {\left(125 \, b c^{3} + 8 \, a d^{3}\right)} x\right) + {\left({\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b + 160 \, c d}{a^{5} b}}\right)} \log\left(-\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b d + \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{3} b c^{2} - 40 \, a c d^{2} + 2 \, {\left(125 \, b c^{3} + 8 \, a d^{3}\right)} x + \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{6} b d + 25 \, a^{3} b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b + 160 \, c d}{a^{5} b}}\right) + {\left({\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b + 160 \, c d}{a^{5} b}}\right)} \log\left(-\frac{1}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b d + \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{3} b c^{2} - 40 \, a c d^{2} + 2 \, {\left(125 \, b c^{3} + 8 \, a d^{3}\right)} x - \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{6} b d + 25 \, a^{3} b c^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}} - \frac{20 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b {\left(\frac{125 \, b c^{3} + 8 \, a d^{3}}{a^{8} b^{2}} + \frac{125 \, b c^{3} - 8 \, a d^{3}}{a^{8} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b + 160 \, c d}{a^{5} b}}\right)}{108 \, {\left(a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{3} + a^{4} b\right)}}"," ",0,"1/108*(24*b^2*d*x^5 + 30*b^2*c*x^4 + 42*a*b*d*x^2 + 48*a*b*c*x - 18*a^2*e - 2*(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*log(1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^6*b*d - 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*a^3*b*c^2 + 40*a*c*d^2 + (125*b*c^3 + 8*a*d^3)*x) + ((a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3))) + 3*sqrt(1/3)*(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^5*b + 160*c*d)/(a^5*b)))*log(-1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^6*b*d + 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*a^3*b*c^2 - 40*a*c*d^2 + 2*(125*b*c^3 + 8*a*d^3)*x + 3/2*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*a^6*b*d + 25*a^3*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^5*b + 160*c*d)/(a^5*b))) + ((a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3))) - 3*sqrt(1/3)*(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^5*b + 160*c*d)/(a^5*b)))*log(-1/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^6*b*d + 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*a^3*b*c^2 - 40*a*c*d^2 + 2*(125*b*c^3 + 8*a*d^3)*x - 3/2*sqrt(1/3)*(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))*a^6*b*d + 25*a^3*b*c^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3) - 20*(1/2)^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^5*b*((125*b*c^3 + 8*a*d^3)/(a^8*b^2) + (125*b*c^3 - 8*a*d^3)/(a^8*b^2))^(1/3)))^2*a^5*b + 160*c*d)/(a^5*b))))/(a^2*b^3*x^6 + 2*a^3*b^2*x^3 + a^4*b)","C",0
354,1,5229,0,1.436044," ","integrate((e*x^2+d*x+c)/x/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{648 \, a b e x^{5} + 810 \, a b d x^{4} + 972 \, a b c x^{3} + 1134 \, a^{2} e x^{2} + 1296 \, a^{2} d x + 1458 \, a^{2} c - 2 \, {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{3} + a^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} \log\left(\frac{1}{1458} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b e + 225 \, b c d^{2} + 162 \, b c^{2} e + 40 \, a d e^{2} - \frac{1}{54} \, {\left(25 \, a^{3} b d^{2} + 36 \, a^{3} b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} + {\left(125 \, b d^{3} + 8 \, a e^{3}\right)} x\right) - {\left(1458 \, b^{2} c x^{6} + 2916 \, a b c x^{3} + 1458 \, a^{2} c - {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{3} + a^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{3} + a^{5}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} a^{3} b c + 236196 \, b c^{2} + 116640 \, a d e}{a^{6} b}}\right)} \log\left(-\frac{1}{1458} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b e - 225 \, b c d^{2} - 162 \, b c^{2} e - 40 \, a d e^{2} + \frac{1}{54} \, {\left(25 \, a^{3} b d^{2} + 36 \, a^{3} b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} + 2 \, {\left(125 \, b d^{3} + 8 \, a e^{3}\right)} x + \frac{1}{486} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} a^{6} b e + 675 \, a^{3} b d^{2} - 486 \, a^{3} b c e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} a^{3} b c + 236196 \, b c^{2} + 116640 \, a d e}{a^{6} b}}\right) - {\left(1458 \, b^{2} c x^{6} + 2916 \, a b c x^{3} + 1458 \, a^{2} c - {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{3} + a^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{3} + a^{5}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} a^{3} b c + 236196 \, b c^{2} + 116640 \, a d e}{a^{6} b}}\right)} \log\left(-\frac{1}{1458} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b e - 225 \, b c d^{2} - 162 \, b c^{2} e - 40 \, a d e^{2} + \frac{1}{54} \, {\left(25 \, a^{3} b d^{2} + 36 \, a^{3} b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} + 2 \, {\left(125 \, b d^{3} + 8 \, a e^{3}\right)} x - \frac{1}{486} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} a^{6} b e + 675 \, a^{3} b d^{2} - 486 \, a^{3} b c e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b c^{2} + 10 \, a d e}{a^{6} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b c^{2} + 10 \, a d e\right)} c}{1458 \, a^{9} b} + \frac{125 \, b d^{3} + 8 \, a e^{3}}{39366 \, a^{8} b^{2}} - \frac{729 \, b^{2} c^{3} + 8 \, a^{2} e^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b}{39366 \, a^{9} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} a^{3} b c + 236196 \, b c^{2} + 116640 \, a d e}{a^{6} b}}\right) + 2916 \, {\left(b^{2} c x^{6} + 2 \, a b c x^{3} + a^{2} c\right)} \log\left(x\right)}{2916 \, {\left(a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{3} + a^{5}\right)}}"," ",0,"1/2916*(648*a*b*e*x^5 + 810*a*b*d*x^4 + 972*a*b*c*x^3 + 1134*a^2*e*x^2 + 1296*a^2*d*x + 1458*a^2*c - 2*(a^3*b^2*x^6 + 2*a^4*b*x^3 + a^5)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)*log(1/1458*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)^2*a^6*b*e + 225*b*c*d^2 + 162*b*c^2*e + 40*a*d*e^2 - 1/54*(25*a^3*b*d^2 + 36*a^3*b*c*e)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3) + (125*b*d^3 + 8*a*e^3)*x) - (1458*b^2*c*x^6 + 2916*a*b*c*x^3 + 1458*a^2*c - (a^3*b^2*x^6 + 2*a^4*b*x^3 + a^5)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3) - 3*sqrt(1/3)*(a^3*b^2*x^6 + 2*a^4*b*x^3 + a^5)*sqrt(-(((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)^2*a^6*b - 972*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)*a^3*b*c + 236196*b*c^2 + 116640*a*d*e)/(a^6*b)))*log(-1/1458*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)^2*a^6*b*e - 225*b*c*d^2 - 162*b*c^2*e - 40*a*d*e^2 + 1/54*(25*a^3*b*d^2 + 36*a^3*b*c*e)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3) + 2*(125*b*d^3 + 8*a*e^3)*x + 1/486*sqrt(1/3)*(((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)*a^6*b*e + 675*a^3*b*d^2 - 486*a^3*b*c*e)*sqrt(-(((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)^2*a^6*b - 972*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)*a^3*b*c + 236196*b*c^2 + 116640*a*d*e)/(a^6*b))) - (1458*b^2*c*x^6 + 2916*a*b*c*x^3 + 1458*a^2*c - (a^3*b^2*x^6 + 2*a^4*b*x^3 + a^5)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3) + 3*sqrt(1/3)*(a^3*b^2*x^6 + 2*a^4*b*x^3 + a^5)*sqrt(-(((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)^2*a^6*b - 972*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)*a^3*b*c + 236196*b*c^2 + 116640*a*d*e)/(a^6*b)))*log(-1/1458*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)^2*a^6*b*e - 225*b*c*d^2 - 162*b*c^2*e - 40*a*d*e^2 + 1/54*(25*a^3*b*d^2 + 36*a^3*b*c*e)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3) + 2*(125*b*d^3 + 8*a*e^3)*x - 1/486*sqrt(1/3)*(((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)*a^6*b*e + 675*a^3*b*d^2 - 486*a^3*b*c*e)*sqrt(-(((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)^2*a^6*b - 972*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b*c^2 + 10*a*d*e)/(a^6*b))/(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b*c^2 + 10*a*d*e)*c/(a^9*b) + 1/39366*(125*b*d^3 + 8*a*e^3)/(a^8*b^2) - 1/39366*(729*b^2*c^3 + 8*a^2*e^3 - 5*(25*d^3 - 54*c*d*e)*a*b)/(a^9*b^2))^(1/3) + 486*c/a^3)*a^3*b*c + 236196*b*c^2 + 116640*a*d*e)/(a^6*b))) + 2916*(b^2*c*x^6 + 2*a*b*c*x^3 + a^2*c)*log(x))/(a^3*b^2*x^6 + 2*a^4*b*x^3 + a^5)","C",0
355,1,5112,0,1.531137," ","integrate((e*x^2+d*x+c)/x^2/(b*x^3+a)^3,x, algorithm=""fricas"")","-\frac{4536 \, b^{2} c x^{6} - 810 \, a b e x^{5} - 972 \, a b d x^{4} + 7938 \, a b c x^{3} - 1296 \, a^{2} e x^{2} - 1458 \, a^{2} d x + 2916 \, a^{2} c + 2 \, {\left(a^{3} b^{2} x^{7} + 2 \, a^{4} b x^{4} + a^{5} x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} \log\left(-\frac{7}{1458} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{7} b c - 1134 \, a b c d^{2} + 1960 \, a b c^{2} e + 225 \, a^{2} d e^{2} + \frac{1}{54} \, {\left(252 \, a^{4} b c d - 25 \, a^{5} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} - {\left(2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}\right)} x\right) + {\left(1458 \, b^{2} d x^{7} + 2916 \, a b d x^{4} + 1458 \, a^{2} d x - {\left(a^{3} b^{2} x^{7} + 2 \, a^{4} b x^{4} + a^{5} x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{2} x^{7} + 2 \, a^{4} b x^{4} + a^{5} x\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{6} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} a^{3} d + 236196 \, d^{2} - 816480 \, c e}{a^{6}}}\right)} \log\left(\frac{7}{1458} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{7} b c + 1134 \, a b c d^{2} - 1960 \, a b c^{2} e - 225 \, a^{2} d e^{2} - \frac{1}{54} \, {\left(252 \, a^{4} b c d - 25 \, a^{5} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} - 2 \, {\left(2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}\right)} x + \frac{1}{486} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} a^{7} b c - 3402 \, a^{4} b c d - 675 \, a^{5} e^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{6} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} a^{3} d + 236196 \, d^{2} - 816480 \, c e}{a^{6}}}\right) + {\left(1458 \, b^{2} d x^{7} + 2916 \, a b d x^{4} + 1458 \, a^{2} d x - {\left(a^{3} b^{2} x^{7} + 2 \, a^{4} b x^{4} + a^{5} x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{2} x^{7} + 2 \, a^{4} b x^{4} + a^{5} x\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{6} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} a^{3} d + 236196 \, d^{2} - 816480 \, c e}{a^{6}}}\right)} \log\left(\frac{7}{1458} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{7} b c + 1134 \, a b c d^{2} - 1960 \, a b c^{2} e - 225 \, a^{2} d e^{2} - \frac{1}{54} \, {\left(252 \, a^{4} b c d - 25 \, a^{5} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} - 2 \, {\left(2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}\right)} x - \frac{1}{486} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} a^{7} b c - 3402 \, a^{4} b c d - 675 \, a^{5} e^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{6} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{81 \, d^{2} - 70 \, c e}{a^{6}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(81 \, d^{2} - 70 \, c e\right)} d}{1458 \, a^{9}} + \frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3} - 27 \, {\left(27 \, d^{3} - 70 \, c d e\right)} a b}{39366 \, a^{10} b} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{39366 \, a^{10} b}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} a^{3} d + 236196 \, d^{2} - 816480 \, c e}{a^{6}}}\right) - 2916 \, {\left(b^{2} d x^{7} + 2 \, a b d x^{4} + a^{2} d x\right)} \log\left(x\right)}{2916 \, {\left(a^{3} b^{2} x^{7} + 2 \, a^{4} b x^{4} + a^{5} x\right)}}"," ",0,"-1/2916*(4536*b^2*c*x^6 - 810*a*b*e*x^5 - 972*a*b*d*x^4 + 7938*a*b*c*x^3 - 1296*a^2*e*x^2 - 1458*a^2*d*x + 2916*a^2*c + 2*(a^3*b^2*x^7 + 2*a^4*b*x^4 + a^5*x)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)*log(-7/1458*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)^2*a^7*b*c - 1134*a*b*c*d^2 + 1960*a*b*c^2*e + 225*a^2*d*e^2 + 1/54*(252*a^4*b*c*d - 25*a^5*e^2)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3) - (2744*b^2*c^3 - 125*a^2*e^3)*x) + (1458*b^2*d*x^7 + 2916*a*b*d*x^4 + 1458*a^2*d*x - (a^3*b^2*x^7 + 2*a^4*b*x^4 + a^5*x)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3) + 3*sqrt(1/3)*(a^3*b^2*x^7 + 2*a^4*b*x^4 + a^5*x)*sqrt(-(((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)^2*a^6 - 972*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)*a^3*d + 236196*d^2 - 816480*c*e)/a^6))*log(7/1458*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)^2*a^7*b*c + 1134*a*b*c*d^2 - 1960*a*b*c^2*e - 225*a^2*d*e^2 - 1/54*(252*a^4*b*c*d - 25*a^5*e^2)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3) - 2*(2744*b^2*c^3 - 125*a^2*e^3)*x + 1/486*sqrt(1/3)*(7*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)*a^7*b*c - 3402*a^4*b*c*d - 675*a^5*e^2)*sqrt(-(((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)^2*a^6 - 972*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)*a^3*d + 236196*d^2 - 816480*c*e)/a^6)) + (1458*b^2*d*x^7 + 2916*a*b*d*x^4 + 1458*a^2*d*x - (a^3*b^2*x^7 + 2*a^4*b*x^4 + a^5*x)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3) - 3*sqrt(1/3)*(a^3*b^2*x^7 + 2*a^4*b*x^4 + a^5*x)*sqrt(-(((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)^2*a^6 - 972*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)*a^3*d + 236196*d^2 - 816480*c*e)/a^6))*log(7/1458*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)^2*a^7*b*c + 1134*a*b*c*d^2 - 1960*a*b*c^2*e - 225*a^2*d*e^2 - 1/54*(252*a^4*b*c*d - 25*a^5*e^2)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3) - 2*(2744*b^2*c^3 - 125*a^2*e^3)*x - 1/486*sqrt(1/3)*(7*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)*a^7*b*c - 3402*a^4*b*c*d - 675*a^5*e^2)*sqrt(-(((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)^2*a^6 - 972*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (81*d^2 - 70*c*e)/a^6)/(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(81*d^2 - 70*c*e)*d/a^9 + 1/39366*(2744*b^2*c^3 + 125*a^2*e^3 - 27*(27*d^3 - 70*c*d*e)*a*b)/(a^10*b) - 1/39366*(2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b))^(1/3) + 486*d/a^3)*a^3*d + 236196*d^2 - 816480*c*e)/a^6)) - 2916*(b^2*d*x^7 + 2*a*b*d*x^4 + a^2*d*x)*log(x))/(a^3*b^2*x^7 + 2*a^4*b*x^4 + a^5*x)","C",0
356,1,4911,0,1.428191," ","integrate((e*x^2+d*x+c)/x^3/(b*x^3+a)^3,x, algorithm=""fricas"")","-\frac{4536 \, b^{2} d x^{7} + 3240 \, b^{2} c x^{6} - 972 \, a b e x^{5} + 7938 \, a b d x^{4} + 5184 \, a b c x^{3} - 1458 \, a^{2} e x^{2} + 2916 \, a^{2} d x + 1458 \, a^{2} c + 2 \, {\left(a^{3} b^{2} x^{8} + 2 \, a^{4} b x^{5} + a^{5} x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} \log\left(\frac{7}{2916} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{8} d + 3920 \, a b c d^{2} - 1800 \, a b c^{2} e + 567 \, a^{2} d e^{2} + \frac{1}{27} \, {\left(100 \, a^{4} b c^{2} - 63 \, a^{5} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} + 4 \, {\left(1000 \, b^{2} c^{3} + 343 \, a b d^{3}\right)} x\right) + {\left(1458 \, b^{2} e x^{8} + 2916 \, a b e x^{5} + 1458 \, a^{2} e x^{2} - {\left(a^{3} b^{2} x^{8} + 2 \, a^{4} b x^{5} + a^{5} x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{2} x^{8} + 2 \, a^{4} b x^{5} + a^{5} x^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{7} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} a^{4} e + 3265920 \, b c d + 236196 \, a e^{2}}{a^{7}}}\right)} \log\left(-\frac{7}{2916} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{8} d - 3920 \, a b c d^{2} + 1800 \, a b c^{2} e - 567 \, a^{2} d e^{2} - \frac{1}{27} \, {\left(100 \, a^{4} b c^{2} - 63 \, a^{5} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} + 8 \, {\left(1000 \, b^{2} c^{3} + 343 \, a b d^{3}\right)} x + \frac{1}{972} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} a^{8} d - 10800 \, a^{4} b c^{2} - 3402 \, a^{5} d e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{7} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} a^{4} e + 3265920 \, b c d + 236196 \, a e^{2}}{a^{7}}}\right) + {\left(1458 \, b^{2} e x^{8} + 2916 \, a b e x^{5} + 1458 \, a^{2} e x^{2} - {\left(a^{3} b^{2} x^{8} + 2 \, a^{4} b x^{5} + a^{5} x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{2} x^{8} + 2 \, a^{4} b x^{5} + a^{5} x^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{7} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} a^{4} e + 3265920 \, b c d + 236196 \, a e^{2}}{a^{7}}}\right)} \log\left(-\frac{7}{2916} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{8} d - 3920 \, a b c d^{2} + 1800 \, a b c^{2} e - 567 \, a^{2} d e^{2} - \frac{1}{27} \, {\left(100 \, a^{4} b c^{2} - 63 \, a^{5} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} + 8 \, {\left(1000 \, b^{2} c^{3} + 343 \, a b d^{3}\right)} x - \frac{1}{972} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} a^{8} d - 10800 \, a^{4} b c^{2} - 3402 \, a^{5} d e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{7} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b c d + 81 \, a e^{2}}{a^{7}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b c d + 81 \, a e^{2}\right)} e}{1458 \, a^{10}} + \frac{4 \, {\left(1000 \, b c^{3} + 343 \, a d^{3}\right)} b}{19683 \, a^{11}} - \frac{8000 \, b^{2} c^{3} + 729 \, a^{2} e^{3} - 56 \, {\left(49 \, d^{3} - 135 \, c d e\right)} a b}{39366 \, a^{11}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} a^{4} e + 3265920 \, b c d + 236196 \, a e^{2}}{a^{7}}}\right) - 2916 \, {\left(b^{2} e x^{8} + 2 \, a b e x^{5} + a^{2} e x^{2}\right)} \log\left(x\right)}{2916 \, {\left(a^{3} b^{2} x^{8} + 2 \, a^{4} b x^{5} + a^{5} x^{2}\right)}}"," ",0,"-1/2916*(4536*b^2*d*x^7 + 3240*b^2*c*x^6 - 972*a*b*e*x^5 + 7938*a*b*d*x^4 + 5184*a*b*c*x^3 - 1458*a^2*e*x^2 + 2916*a^2*d*x + 1458*a^2*c + 2*(a^3*b^2*x^8 + 2*a^4*b*x^5 + a^5*x^2)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)*log(7/2916*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)^2*a^8*d + 3920*a*b*c*d^2 - 1800*a*b*c^2*e + 567*a^2*d*e^2 + 1/27*(100*a^4*b*c^2 - 63*a^5*d*e)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3) + 4*(1000*b^2*c^3 + 343*a*b*d^3)*x) + (1458*b^2*e*x^8 + 2916*a*b*e*x^5 + 1458*a^2*e*x^2 - (a^3*b^2*x^8 + 2*a^4*b*x^5 + a^5*x^2)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3) - 3*sqrt(1/3)*(a^3*b^2*x^8 + 2*a^4*b*x^5 + a^5*x^2)*sqrt(-(((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)^2*a^7 - 972*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)*a^4*e + 3265920*b*c*d + 236196*a*e^2)/a^7))*log(-7/2916*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)^2*a^8*d - 3920*a*b*c*d^2 + 1800*a*b*c^2*e - 567*a^2*d*e^2 - 1/27*(100*a^4*b*c^2 - 63*a^5*d*e)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3) + 8*(1000*b^2*c^3 + 343*a*b*d^3)*x + 1/972*sqrt(1/3)*(7*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)*a^8*d - 10800*a^4*b*c^2 - 3402*a^5*d*e)*sqrt(-(((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)^2*a^7 - 972*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)*a^4*e + 3265920*b*c*d + 236196*a*e^2)/a^7)) + (1458*b^2*e*x^8 + 2916*a*b*e*x^5 + 1458*a^2*e*x^2 - (a^3*b^2*x^8 + 2*a^4*b*x^5 + a^5*x^2)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3) + 3*sqrt(1/3)*(a^3*b^2*x^8 + 2*a^4*b*x^5 + a^5*x^2)*sqrt(-(((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)^2*a^7 - 972*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)*a^4*e + 3265920*b*c*d + 236196*a*e^2)/a^7))*log(-7/2916*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)^2*a^8*d - 3920*a*b*c*d^2 + 1800*a*b*c^2*e - 567*a^2*d*e^2 - 1/27*(100*a^4*b*c^2 - 63*a^5*d*e)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3) + 8*(1000*b^2*c^3 + 343*a*b*d^3)*x - 1/972*sqrt(1/3)*(7*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)*a^8*d - 10800*a^4*b*c^2 - 3402*a^5*d*e)*sqrt(-(((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)^2*a^7 - 972*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b*c*d + 81*a*e^2)/a^7)/(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b*c*d + 81*a*e^2)*e/a^10 + 4/19683*(1000*b*c^3 + 343*a*d^3)*b/a^11 - 1/39366*(8000*b^2*c^3 + 729*a^2*e^3 - 56*(49*d^3 - 135*c*d*e)*a*b)/a^11)^(1/3) + 486*e/a^3)*a^4*e + 3265920*b*c*d + 236196*a*e^2)/a^7)) - 2916*(b^2*e*x^8 + 2*a*b*e*x^5 + a^2*e*x^2)*log(x))/(a^3*b^2*x^8 + 2*a^4*b*x^5 + a^5*x^2)","C",0
357,1,5550,0,1.685917," ","integrate((e*x^2+d*x+c)/x^4/(b*x^3+a)^3,x, algorithm=""fricas"")","-\frac{168 \, a b^{2} e x^{8} + 120 \, a b^{2} d x^{7} + 108 \, a b^{2} c x^{6} + 294 \, a^{2} b e x^{5} + 192 \, a^{2} b d x^{4} + 162 \, a^{2} b c x^{3} + 108 \, a^{3} e x^{2} + 54 \, a^{3} d x + 36 \, a^{3} c + 2 \, {\left(a^{4} b^{2} x^{9} + 2 \, a^{5} b x^{6} + a^{6} x^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} \log\left(\frac{7}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)}^{2} a^{8} e + 5400 \, b^{2} c d^{2} + 5103 \, b^{2} c^{2} e + 3920 \, a b d e^{2} + {\left(100 \, a^{4} b d^{2} + 189 \, a^{4} b c e\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} + 4 \, {\left(1000 \, b^{2} d^{3} + 343 \, a b e^{3}\right)} x\right) - {\left(162 \, b^{3} c x^{9} + 324 \, a b^{2} c x^{6} + 162 \, a^{2} b c x^{3} + {\left(a^{4} b^{2} x^{9} + 2 \, a^{5} b x^{6} + a^{6} x^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{2} x^{9} + 2 \, a^{5} b x^{6} + a^{6} x^{3}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)}^{2} a^{8} + 108 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} a^{4} b c + 2916 \, b^{2} c^{2} + 4480 \, a b d e}{a^{8}}}\right)} \log\left(-\frac{7}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)}^{2} a^{8} e - 5400 \, b^{2} c d^{2} - 5103 \, b^{2} c^{2} e - 3920 \, a b d e^{2} - {\left(100 \, a^{4} b d^{2} + 189 \, a^{4} b c e\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} + 8 \, {\left(1000 \, b^{2} d^{3} + 343 \, a b e^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} a^{8} e - 400 \, a^{4} b d^{2} + 378 \, a^{4} b c e\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)}^{2} a^{8} + 108 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} a^{4} b c + 2916 \, b^{2} c^{2} + 4480 \, a b d e}{a^{8}}}\right) - {\left(162 \, b^{3} c x^{9} + 324 \, a b^{2} c x^{6} + 162 \, a^{2} b c x^{3} + {\left(a^{4} b^{2} x^{9} + 2 \, a^{5} b x^{6} + a^{6} x^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{2} x^{9} + 2 \, a^{5} b x^{6} + a^{6} x^{3}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)}^{2} a^{8} + 108 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} a^{4} b c + 2916 \, b^{2} c^{2} + 4480 \, a b d e}{a^{8}}}\right)} \log\left(-\frac{7}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)}^{2} a^{8} e - 5400 \, b^{2} c d^{2} - 5103 \, b^{2} c^{2} e - 3920 \, a b d e^{2} - {\left(100 \, a^{4} b d^{2} + 189 \, a^{4} b c e\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} + 8 \, {\left(1000 \, b^{2} d^{3} + 343 \, a b e^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} a^{8} e - 400 \, a^{4} b d^{2} + 378 \, a^{4} b c e\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)}^{2} a^{8} + 108 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{729 \, b^{2} c^{2}}{a^{8}} - \frac{729 \, b^{2} c^{2} + 280 \, a b d e}{a^{8}}\right)}}{{\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{39366 \, b^{3} c^{3}}{a^{12}} + \frac{8 \, {\left(1000 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{11}} - \frac{81 \, {\left(729 \, b^{2} c^{2} + 280 \, a b d e\right)} b c}{a^{12}} + \frac{19683 \, b^{3} c^{3} + 2744 \, a^{2} b e^{3} - 40 \, {\left(200 \, d^{3} - 567 \, c d e\right)} a b^{2}}{a^{12}}\right)}^{\frac{1}{3}} - \frac{54 \, b c}{a^{4}}\right)} a^{4} b c + 2916 \, b^{2} c^{2} + 4480 \, a b d e}{a^{8}}}\right) + 324 \, {\left(b^{3} c x^{9} + 2 \, a b^{2} c x^{6} + a^{2} b c x^{3}\right)} \log\left(x\right)}{108 \, {\left(a^{4} b^{2} x^{9} + 2 \, a^{5} b x^{6} + a^{6} x^{3}\right)}}"," ",0,"-1/108*(168*a*b^2*e*x^8 + 120*a*b^2*d*x^7 + 108*a*b^2*c*x^6 + 294*a^2*b*e*x^5 + 192*a^2*b*d*x^4 + 162*a^2*b*c*x^3 + 108*a^3*e*x^2 + 54*a^3*d*x + 36*a^3*c + 2*(a^4*b^2*x^9 + 2*a^5*b*x^6 + a^6*x^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)*log(7/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)^2*a^8*e + 5400*b^2*c*d^2 + 5103*b^2*c^2*e + 3920*a*b*d*e^2 + (100*a^4*b*d^2 + 189*a^4*b*c*e)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4) + 4*(1000*b^2*d^3 + 343*a*b*e^3)*x) - (162*b^3*c*x^9 + 324*a*b^2*c*x^6 + 162*a^2*b*c*x^3 + (a^4*b^2*x^9 + 2*a^5*b*x^6 + a^6*x^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4) + 3*sqrt(1/3)*(a^4*b^2*x^9 + 2*a^5*b*x^6 + a^6*x^3)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)^2*a^8 + 108*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)*a^4*b*c + 2916*b^2*c^2 + 4480*a*b*d*e)/a^8))*log(-7/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)^2*a^8*e - 5400*b^2*c*d^2 - 5103*b^2*c^2*e - 3920*a*b*d*e^2 - (100*a^4*b*d^2 + 189*a^4*b*c*e)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4) + 8*(1000*b^2*d^3 + 343*a*b*e^3)*x + 3/4*sqrt(1/3)*(7*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)*a^8*e - 400*a^4*b*d^2 + 378*a^4*b*c*e)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)^2*a^8 + 108*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)*a^4*b*c + 2916*b^2*c^2 + 4480*a*b*d*e)/a^8)) - (162*b^3*c*x^9 + 324*a*b^2*c*x^6 + 162*a^2*b*c*x^3 + (a^4*b^2*x^9 + 2*a^5*b*x^6 + a^6*x^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4) - 3*sqrt(1/3)*(a^4*b^2*x^9 + 2*a^5*b*x^6 + a^6*x^3)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)^2*a^8 + 108*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)*a^4*b*c + 2916*b^2*c^2 + 4480*a*b*d*e)/a^8))*log(-7/4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)^2*a^8*e - 5400*b^2*c*d^2 - 5103*b^2*c^2*e - 3920*a*b*d*e^2 - (100*a^4*b*d^2 + 189*a^4*b*c*e)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4) + 8*(1000*b^2*d^3 + 343*a*b*e^3)*x - 3/4*sqrt(1/3)*(7*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)*a^8*e - 400*a^4*b*d^2 + 378*a^4*b*c*e)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)^2*a^8 + 108*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(729*b^2*c^2/a^8 - (729*b^2*c^2 + 280*a*b*d*e)/a^8)/(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(39366*b^3*c^3/a^12 + 8*(1000*b*d^3 + 343*a*e^3)*b/a^11 - 81*(729*b^2*c^2 + 280*a*b*d*e)*b*c/a^12 + (19683*b^3*c^3 + 2744*a^2*b*e^3 - 40*(200*d^3 - 567*c*d*e)*a*b^2)/a^12)^(1/3) - 54*b*c/a^4)*a^4*b*c + 2916*b^2*c^2 + 4480*a*b*d*e)/a^8)) + 324*(b^3*c*x^9 + 2*a*b^2*c*x^6 + a^2*b*c*x^3)*log(x))/(a^4*b^2*x^9 + 2*a^5*b*x^6 + a^6*x^3)","C",0
358,1,2364,0,1.524956," ","integrate(x^2*(e*x^2+d*x+c)/(b*x^3+a)^4,x, algorithm=""fricas"")","\frac{48 \, b^{2} e x^{8} + 30 \, b^{2} d x^{7} + 132 \, a b e x^{5} + 78 \, a b d x^{4} - 24 \, a^{2} e x^{2} - 60 \, a^{2} d x - 108 \, a^{2} c - 2 \, {\left(a^{2} b^{4} x^{9} + 3 \, a^{3} b^{3} x^{6} + 3 \, a^{4} b^{2} x^{3} + a^{5} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} \log\left({\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b^{3} e - \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{3} b^{2} d^{2} + 160 \, a d e^{2} + {\left(125 \, b d^{3} + 64 \, a e^{3}\right)} x\right) + {\left({\left(a^{2} b^{4} x^{9} + 3 \, a^{3} b^{3} x^{6} + 3 \, a^{4} b^{2} x^{3} + a^{5} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{4} x^{9} + 3 \, a^{3} b^{3} x^{6} + 3 \, a^{4} b^{2} x^{3} + a^{5} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} + 320 \, d e}{a^{5} b^{3}}}\right)} \log\left(-{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b^{3} e + \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{3} b^{2} d^{2} - 160 \, a d e^{2} + 2 \, {\left(125 \, b d^{3} + 64 \, a e^{3}\right)} x + \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{6} b^{3} e + 25 \, a^{3} b^{2} d^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} + 320 \, d e}{a^{5} b^{3}}}\right) + {\left({\left(a^{2} b^{4} x^{9} + 3 \, a^{3} b^{3} x^{6} + 3 \, a^{4} b^{2} x^{3} + a^{5} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{4} x^{9} + 3 \, a^{3} b^{3} x^{6} + 3 \, a^{4} b^{2} x^{3} + a^{5} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} + 320 \, d e}{a^{5} b^{3}}}\right)} \log\left(-{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b^{3} e + \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{3} b^{2} d^{2} - 160 \, a d e^{2} + 2 \, {\left(125 \, b d^{3} + 64 \, a e^{3}\right)} x - \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} a^{6} b^{3} e + 25 \, a^{3} b^{2} d^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{40 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} d e {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b d^{3} + 64 \, a e^{3}}{a^{8} b^{5}} + \frac{125 \, b d^{3} - 64 \, a e^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} + 320 \, d e}{a^{5} b^{3}}}\right)}{972 \, {\left(a^{2} b^{4} x^{9} + 3 \, a^{3} b^{3} x^{6} + 3 \, a^{4} b^{2} x^{3} + a^{5} b\right)}}"," ",0,"1/972*(48*b^2*e*x^8 + 30*b^2*d*x^7 + 132*a*b*e*x^5 + 78*a*b*d*x^4 - 24*a^2*e*x^2 - 60*a^2*d*x - 108*a^2*c - 2*(a^2*b^4*x^9 + 3*a^3*b^3*x^6 + 3*a^4*b^2*x^3 + a^5*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))*log(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))^2*a^6*b^3*e - 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))*a^3*b^2*d^2 + 160*a*d*e^2 + (125*b*d^3 + 64*a*e^3)*x) + ((a^2*b^4*x^9 + 3*a^3*b^3*x^6 + 3*a^4*b^2*x^3 + a^5*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3))) + 3*sqrt(1/3)*(a^2*b^4*x^9 + 3*a^3*b^3*x^6 + 3*a^4*b^2*x^3 + a^5*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))^2*a^5*b^3 + 320*d*e)/(a^5*b^3)))*log(-((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))^2*a^6*b^3*e + 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))*a^3*b^2*d^2 - 160*a*d*e^2 + 2*(125*b*d^3 + 64*a*e^3)*x + 3/2*sqrt(1/3)*(2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))*a^6*b^3*e + 25*a^3*b^2*d^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))^2*a^5*b^3 + 320*d*e)/(a^5*b^3))) + ((a^2*b^4*x^9 + 3*a^3*b^3*x^6 + 3*a^4*b^2*x^3 + a^5*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3))) - 3*sqrt(1/3)*(a^2*b^4*x^9 + 3*a^3*b^3*x^6 + 3*a^4*b^2*x^3 + a^5*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))^2*a^5*b^3 + 320*d*e)/(a^5*b^3)))*log(-((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))^2*a^6*b^3*e + 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))*a^3*b^2*d^2 - 160*a*d*e^2 + 2*(125*b*d^3 + 64*a*e^3)*x - 3/2*sqrt(1/3)*(2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))*a^6*b^3*e + 25*a^3*b^2*d^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3) - 40*(1/2)^(2/3)*d*e*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b*d^3 + 64*a*e^3)/(a^8*b^5) + (125*b*d^3 - 64*a*e^3)/(a^8*b^5))^(1/3)))^2*a^5*b^3 + 320*d*e)/(a^5*b^3))))/(a^2*b^4*x^9 + 3*a^3*b^3*x^6 + 3*a^4*b^2*x^3 + a^5*b)","C",0
359,1,2646,0,1.453978," ","integrate(x*(e*x^2+d*x+c)/(b*x^3+a)^4,x, algorithm=""fricas"")","\frac{168 \, b^{3} c x^{8} + 30 \, a b^{2} e x^{7} + 462 \, a b^{2} c x^{5} + 78 \, a^{2} b e x^{4} + 402 \, a^{2} b c x^{2} - 60 \, a^{3} e x - 108 \, a^{3} d - 2 \, {\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{7}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b^{3} c - \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{5} b e^{2} + 1960 \, a b c^{2} e + {\left(2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}\right)} x\right) + {\left({\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b^{2} + 1120 \, c e}{a^{6} b^{2}}}\right)} \log\left(-\frac{7}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b^{3} c + \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{5} b e^{2} - 1960 \, a b c^{2} e + 2 \, {\left(2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}\right)} x + \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{7} b^{3} c + 25 \, a^{5} b e^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b^{2} + 1120 \, c e}{a^{6} b^{2}}}\right) + {\left({\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b^{2} + 1120 \, c e}{a^{6} b^{2}}}\right)} \log\left(-\frac{7}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b^{3} c + \frac{25}{2} \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{5} b e^{2} - 1960 \, a b c^{2} e + 2 \, {\left(2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}\right)} x - \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)} a^{7} b^{3} c + 25 \, a^{5} b e^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}} - \frac{140 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} c e {\left(-i \, \sqrt{3} + 1\right)}}{a^{6} b^{2} {\left(\frac{2744 \, b^{2} c^{3} + 125 \, a^{2} e^{3}}{a^{10} b^{4}} - \frac{2744 \, b^{2} c^{3} - 125 \, a^{2} e^{3}}{a^{10} b^{4}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{6} b^{2} + 1120 \, c e}{a^{6} b^{2}}}\right)}{972 \, {\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)}}"," ",0,"1/972*(168*b^3*c*x^8 + 30*a*b^2*e*x^7 + 462*a*b^2*c*x^5 + 78*a^2*b*e*x^4 + 402*a^2*b*c*x^2 - 60*a^3*e*x - 108*a^3*d - 2*(a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))*log(7/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))^2*a^7*b^3*c - 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))*a^5*b*e^2 + 1960*a*b*c^2*e + (2744*b^2*c^3 + 125*a^2*e^3)*x) + ((a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3))) + 3*sqrt(1/3)*(a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))^2*a^6*b^2 + 1120*c*e)/(a^6*b^2)))*log(-7/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))^2*a^7*b^3*c + 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))*a^5*b*e^2 - 1960*a*b*c^2*e + 2*(2744*b^2*c^3 + 125*a^2*e^3)*x + 3/2*sqrt(1/3)*(7*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))*a^7*b^3*c + 25*a^5*b*e^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))^2*a^6*b^2 + 1120*c*e)/(a^6*b^2))) + ((a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3))) - 3*sqrt(1/3)*(a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))^2*a^6*b^2 + 1120*c*e)/(a^6*b^2)))*log(-7/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))^2*a^7*b^3*c + 25/2*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))*a^5*b*e^2 - 1960*a*b*c^2*e + 2*(2744*b^2*c^3 + 125*a^2*e^3)*x - 3/2*sqrt(1/3)*(7*((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))*a^7*b^3*c + 25*a^5*b*e^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3) - 140*(1/2)^(2/3)*c*e*(-I*sqrt(3) + 1)/(a^6*b^2*((2744*b^2*c^3 + 125*a^2*e^3)/(a^10*b^4) - (2744*b^2*c^3 - 125*a^2*e^3)/(a^10*b^4))^(1/3)))^2*a^6*b^2 + 1120*c*e)/(a^6*b^2))))/(a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)","C",0
360,1,2344,0,1.216733," ","integrate((e*x^2+d*x+c)/(b*x^3+a)^4,x, algorithm=""fricas"")","\frac{168 \, b^{3} d x^{8} + 240 \, b^{3} c x^{7} + 462 \, a b^{2} d x^{5} + 624 \, a b^{2} c x^{4} + 402 \, a^{2} b d x^{2} + 492 \, a^{2} b c x - 108 \, a^{3} e - 2 \, {\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)} {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{7}{4} \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{8} b d - 400 \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b c^{2} + 7840 \, a c d^{2} + 4 \, {\left(8000 \, b c^{3} + 343 \, a d^{3}\right)} x\right) + {\left({\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)} {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)} \sqrt{-\frac{{\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b + 8960 \, c d}{a^{7} b}}\right)} \log\left(-\frac{7}{4} \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{8} b d + 400 \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b c^{2} - 7840 \, a c d^{2} + 8 \, {\left(8000 \, b c^{3} + 343 \, a d^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{8} b d + 1600 \, a^{4} b c^{2}\right)} \sqrt{-\frac{{\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b + 8960 \, c d}{a^{7} b}}\right) + {\left({\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)} {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)} \sqrt{-\frac{{\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b + 8960 \, c d}{a^{7} b}}\right)} \log\left(-\frac{7}{4} \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{8} b d + 400 \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{4} b c^{2} - 7840 \, a c d^{2} + 8 \, {\left(8000 \, b c^{3} + 343 \, a d^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)} a^{8} b d + 1600 \, a^{4} b c^{2}\right)} \sqrt{-\frac{{\left(4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}} - \frac{140 \cdot 4^{\frac{2}{3}} c d {\left(-i \, \sqrt{3} + 1\right)}}{a^{7} b {\left(\frac{8000 \, b c^{3} + 343 \, a d^{3}}{a^{11} b^{2}} + \frac{8000 \, b c^{3} - 343 \, a d^{3}}{a^{11} b^{2}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{7} b + 8960 \, c d}{a^{7} b}}\right)}{972 \, {\left(a^{3} b^{4} x^{9} + 3 \, a^{4} b^{3} x^{6} + 3 \, a^{5} b^{2} x^{3} + a^{6} b\right)}}"," ",0,"1/972*(168*b^3*d*x^8 + 240*b^3*c*x^7 + 462*a*b^2*d*x^5 + 624*a*b^2*c*x^4 + 402*a^2*b*d*x^2 + 492*a^2*b*c*x - 108*a^3*e - 2*(a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*log(7/4*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^8*b*d - 400*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*a^4*b*c^2 + 7840*a*c*d^2 + 4*(8000*b*c^3 + 343*a*d^3)*x) + ((a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3))) + 3*sqrt(1/3)*(a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)*sqrt(-((4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^7*b + 8960*c*d)/(a^7*b)))*log(-7/4*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^8*b*d + 400*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*a^4*b*c^2 - 7840*a*c*d^2 + 8*(8000*b*c^3 + 343*a*d^3)*x + 3/4*sqrt(1/3)*(7*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*a^8*b*d + 1600*a^4*b*c^2)*sqrt(-((4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^7*b + 8960*c*d)/(a^7*b))) + ((a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3))) - 3*sqrt(1/3)*(a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)*sqrt(-((4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^7*b + 8960*c*d)/(a^7*b)))*log(-7/4*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^8*b*d + 400*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*a^4*b*c^2 - 7840*a*c*d^2 + 8*(8000*b*c^3 + 343*a*d^3)*x - 3/4*sqrt(1/3)*(7*(4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))*a^8*b*d + 1600*a^4*b*c^2)*sqrt(-((4^(1/3)*(I*sqrt(3) + 1)*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3) - 140*4^(2/3)*c*d*(-I*sqrt(3) + 1)/(a^7*b*((8000*b*c^3 + 343*a*d^3)/(a^11*b^2) + (8000*b*c^3 - 343*a*d^3)/(a^11*b^2))^(1/3)))^2*a^7*b + 8960*c*d)/(a^7*b))))/(a^3*b^4*x^9 + 3*a^4*b^3*x^6 + 3*a^5*b^2*x^3 + a^6*b)","C",0
361,1,5370,0,1.547482," ","integrate((e*x^2+d*x+c)/x/(b*x^3+a)^4,x, algorithm=""fricas"")","\frac{40824 \, a b^{2} e x^{8} + 58320 \, a b^{2} d x^{7} + 78732 \, a b^{2} c x^{6} + 112266 \, a^{2} b e x^{5} + 151632 \, a^{2} b d x^{4} + 196830 \, a^{2} b c x^{3} + 97686 \, a^{3} e x^{2} + 119556 \, a^{3} d x + 144342 \, a^{3} c - 2 \, {\left(a^{4} b^{3} x^{9} + 3 \, a^{5} b^{2} x^{6} + 3 \, a^{6} b x^{3} + a^{7}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} \log\left(\frac{7}{236196} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)}^{2} a^{8} b e + 64800 \, b c d^{2} + 45927 \, b c^{2} e + 7840 \, a d e^{2} - \frac{1}{243} \, {\left(400 \, a^{4} b d^{2} + 567 \, a^{4} b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} + 4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)} x\right) - {\left(118098 \, b^{3} c x^{9} + 354294 \, a b^{2} c x^{6} + 354294 \, a^{2} b c x^{3} + 118098 \, a^{3} c - {\left(a^{4} b^{3} x^{9} + 3 \, a^{5} b^{2} x^{6} + 3 \, a^{6} b x^{3} + a^{7}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{3} x^{9} + 3 \, a^{5} b^{2} x^{6} + 3 \, a^{6} b x^{3} + a^{7}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)}^{2} a^{8} b - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} a^{4} b c + 1549681956 \, b c^{2} + 529079040 \, a d e}{a^{8} b}}\right)} \log\left(-\frac{7}{236196} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)}^{2} a^{8} b e - 64800 \, b c d^{2} - 45927 \, b c^{2} e - 7840 \, a d e^{2} + \frac{1}{243} \, {\left(400 \, a^{4} b d^{2} + 567 \, a^{4} b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} + 8 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)} x + \frac{1}{78732} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} a^{8} b e + 388800 \, a^{4} b d^{2} - 275562 \, a^{4} b c e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)}^{2} a^{8} b - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} a^{4} b c + 1549681956 \, b c^{2} + 529079040 \, a d e}{a^{8} b}}\right) - {\left(118098 \, b^{3} c x^{9} + 354294 \, a b^{2} c x^{6} + 354294 \, a^{2} b c x^{3} + 118098 \, a^{3} c - {\left(a^{4} b^{3} x^{9} + 3 \, a^{5} b^{2} x^{6} + 3 \, a^{6} b x^{3} + a^{7}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{3} x^{9} + 3 \, a^{5} b^{2} x^{6} + 3 \, a^{6} b x^{3} + a^{7}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)}^{2} a^{8} b - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} a^{4} b c + 1549681956 \, b c^{2} + 529079040 \, a d e}{a^{8} b}}\right)} \log\left(-\frac{7}{236196} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)}^{2} a^{8} b e - 64800 \, b c d^{2} - 45927 \, b c^{2} e - 7840 \, a d e^{2} + \frac{1}{243} \, {\left(400 \, a^{4} b d^{2} + 567 \, a^{4} b c e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} + 8 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)} x - \frac{1}{78732} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} a^{8} b e + 388800 \, a^{4} b d^{2} - 275562 \, a^{4} b c e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)}^{2} a^{8} b - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, c^{2}}{a^{8}} - \frac{6561 \, b c^{2} + 560 \, a d e}{a^{8} b}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, b c^{2} + 560 \, a d e\right)} c}{118098 \, a^{12} b} + \frac{4 \, {\left(8000 \, b d^{3} + 343 \, a e^{3}\right)}}{14348907 \, a^{11} b^{2}} - \frac{531441 \, b^{2} c^{3} + 2744 \, a^{2} e^{3} - 80 \, {\left(800 \, d^{3} - 1701 \, c d e\right)} a b}{28697814 \, a^{12} b^{2}}\right)}^{\frac{1}{3}} + \frac{39366 \, c}{a^{4}}\right)} a^{4} b c + 1549681956 \, b c^{2} + 529079040 \, a d e}{a^{8} b}}\right) + 236196 \, {\left(b^{3} c x^{9} + 3 \, a b^{2} c x^{6} + 3 \, a^{2} b c x^{3} + a^{3} c\right)} \log\left(x\right)}{236196 \, {\left(a^{4} b^{3} x^{9} + 3 \, a^{5} b^{2} x^{6} + 3 \, a^{6} b x^{3} + a^{7}\right)}}"," ",0,"1/236196*(40824*a*b^2*e*x^8 + 58320*a*b^2*d*x^7 + 78732*a*b^2*c*x^6 + 112266*a^2*b*e*x^5 + 151632*a^2*b*d*x^4 + 196830*a^2*b*c*x^3 + 97686*a^3*e*x^2 + 119556*a^3*d*x + 144342*a^3*c - 2*(a^4*b^3*x^9 + 3*a^5*b^2*x^6 + 3*a^6*b*x^3 + a^7)*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)*log(7/236196*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)^2*a^8*b*e + 64800*b*c*d^2 + 45927*b*c^2*e + 7840*a*d*e^2 - 1/243*(400*a^4*b*d^2 + 567*a^4*b*c*e)*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4) + 4*(8000*b*d^3 + 343*a*e^3)*x) - (118098*b^3*c*x^9 + 354294*a*b^2*c*x^6 + 354294*a^2*b*c*x^3 + 118098*a^3*c - (a^4*b^3*x^9 + 3*a^5*b^2*x^6 + 3*a^6*b*x^3 + a^7)*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4) - 3*sqrt(1/3)*(a^4*b^3*x^9 + 3*a^5*b^2*x^6 + 3*a^6*b*x^3 + a^7)*sqrt(-(((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)^2*a^8*b - 78732*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)*a^4*b*c + 1549681956*b*c^2 + 529079040*a*d*e)/(a^8*b)))*log(-7/236196*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)^2*a^8*b*e - 64800*b*c*d^2 - 45927*b*c^2*e - 7840*a*d*e^2 + 1/243*(400*a^4*b*d^2 + 567*a^4*b*c*e)*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4) + 8*(8000*b*d^3 + 343*a*e^3)*x + 1/78732*sqrt(1/3)*(7*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)*a^8*b*e + 388800*a^4*b*d^2 - 275562*a^4*b*c*e)*sqrt(-(((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)^2*a^8*b - 78732*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)*a^4*b*c + 1549681956*b*c^2 + 529079040*a*d*e)/(a^8*b))) - (118098*b^3*c*x^9 + 354294*a*b^2*c*x^6 + 354294*a^2*b*c*x^3 + 118098*a^3*c - (a^4*b^3*x^9 + 3*a^5*b^2*x^6 + 3*a^6*b*x^3 + a^7)*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4) + 3*sqrt(1/3)*(a^4*b^3*x^9 + 3*a^5*b^2*x^6 + 3*a^6*b*x^3 + a^7)*sqrt(-(((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)^2*a^8*b - 78732*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)*a^4*b*c + 1549681956*b*c^2 + 529079040*a*d*e)/(a^8*b)))*log(-7/236196*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)^2*a^8*b*e - 64800*b*c*d^2 - 45927*b*c^2*e - 7840*a*d*e^2 + 1/243*(400*a^4*b*d^2 + 567*a^4*b*c*e)*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4) + 8*(8000*b*d^3 + 343*a*e^3)*x - 1/78732*sqrt(1/3)*(7*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)*a^8*b*e + 388800*a^4*b*d^2 - 275562*a^4*b*c*e)*sqrt(-(((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)^2*a^8*b - 78732*((-I*sqrt(3) + 1)*(6561*c^2/a^8 - (6561*b*c^2 + 560*a*d*e)/(a^8*b))/(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*c^3/a^12 + 1/118098*(6561*b*c^2 + 560*a*d*e)*c/(a^12*b) + 4/14348907*(8000*b*d^3 + 343*a*e^3)/(a^11*b^2) - 1/28697814*(531441*b^2*c^3 + 2744*a^2*e^3 - 80*(800*d^3 - 1701*c*d*e)*a*b)/(a^12*b^2))^(1/3) + 39366*c/a^4)*a^4*b*c + 1549681956*b*c^2 + 529079040*a*d*e)/(a^8*b))) + 236196*(b^3*c*x^9 + 3*a*b^2*c*x^6 + 3*a^2*b*c*x^3 + a^3*c)*log(x))/(a^4*b^3*x^9 + 3*a^5*b^2*x^6 + 3*a^6*b*x^3 + a^7)","C",0
362,1,5250,0,1.556431," ","integrate((e*x^2+d*x+c)/x^2/(b*x^3+a)^4,x, algorithm=""fricas"")","-\frac{408240 \, b^{3} c x^{9} - 58320 \, a b^{2} e x^{8} - 78732 \, a b^{2} d x^{7} + 1122660 \, a b^{2} c x^{6} - 151632 \, a^{2} b e x^{5} - 196830 \, a^{2} b d x^{4} + 976860 \, a^{2} b c x^{3} - 119556 \, a^{3} e x^{2} - 144342 \, a^{3} d x + 236196 \, a^{3} c + 2 \, {\left(a^{4} b^{3} x^{10} + 3 \, a^{5} b^{2} x^{7} + 3 \, a^{6} b x^{4} + a^{7} x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} \log\left(-\frac{7}{236196} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)}^{2} a^{9} b c - 45927 \, a b c d^{2} + 78400 \, a b c^{2} e + 6480 \, a^{2} d e^{2} + \frac{1}{243} \, {\left(567 \, a^{5} b c d - 40 \, a^{6} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} - 400 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)} x\right) + {\left(118098 \, b^{3} d x^{10} + 354294 \, a b^{2} d x^{7} + 354294 \, a^{2} b d x^{4} + 118098 \, a^{3} d x - {\left(a^{4} b^{3} x^{10} + 3 \, a^{5} b^{2} x^{7} + 3 \, a^{6} b x^{4} + a^{7} x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{3} x^{10} + 3 \, a^{5} b^{2} x^{7} + 3 \, a^{6} b x^{4} + a^{7} x\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)}^{2} a^{8} - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} a^{4} d + 1549681956 \, d^{2} - 5290790400 \, c e}{a^{8}}}\right)} \log\left(\frac{7}{236196} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)}^{2} a^{9} b c + 45927 \, a b c d^{2} - 78400 \, a b c^{2} e - 6480 \, a^{2} d e^{2} - \frac{1}{243} \, {\left(567 \, a^{5} b c d - 40 \, a^{6} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} - 800 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)} x + \frac{1}{78732} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} a^{9} b c - 275562 \, a^{5} b c d - 38880 \, a^{6} e^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)}^{2} a^{8} - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} a^{4} d + 1549681956 \, d^{2} - 5290790400 \, c e}{a^{8}}}\right) + {\left(118098 \, b^{3} d x^{10} + 354294 \, a b^{2} d x^{7} + 354294 \, a^{2} b d x^{4} + 118098 \, a^{3} d x - {\left(a^{4} b^{3} x^{10} + 3 \, a^{5} b^{2} x^{7} + 3 \, a^{6} b x^{4} + a^{7} x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{3} x^{10} + 3 \, a^{5} b^{2} x^{7} + 3 \, a^{6} b x^{4} + a^{7} x\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)}^{2} a^{8} - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} a^{4} d + 1549681956 \, d^{2} - 5290790400 \, c e}{a^{8}}}\right)} \log\left(\frac{7}{236196} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)}^{2} a^{9} b c + 45927 \, a b c d^{2} - 78400 \, a b c^{2} e - 6480 \, a^{2} d e^{2} - \frac{1}{243} \, {\left(567 \, a^{5} b c d - 40 \, a^{6} e^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} - 800 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)} x - \frac{1}{78732} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} a^{9} b c - 275562 \, a^{5} b c d - 38880 \, a^{6} e^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)}^{2} a^{8} - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, d^{2}}{a^{8}} - \frac{6561 \, d^{2} - 5600 \, c e}{a^{8}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{12}} + \frac{{\left(6561 \, d^{2} - 5600 \, c e\right)} d}{118098 \, a^{12}} + \frac{2744000 \, b^{2} c^{3} + 64000 \, a^{2} e^{3} - 243 \, {\left(2187 \, d^{3} - 5600 \, c d e\right)} a b}{28697814 \, a^{13} b} - \frac{4000 \, {\left(343 \, b^{2} c^{3} - 8 \, a^{2} e^{3}\right)}}{14348907 \, a^{13} b}\right)}^{\frac{1}{3}} + \frac{39366 \, d}{a^{4}}\right)} a^{4} d + 1549681956 \, d^{2} - 5290790400 \, c e}{a^{8}}}\right) - 236196 \, {\left(b^{3} d x^{10} + 3 \, a b^{2} d x^{7} + 3 \, a^{2} b d x^{4} + a^{3} d x\right)} \log\left(x\right)}{236196 \, {\left(a^{4} b^{3} x^{10} + 3 \, a^{5} b^{2} x^{7} + 3 \, a^{6} b x^{4} + a^{7} x\right)}}"," ",0,"-1/236196*(408240*b^3*c*x^9 - 58320*a*b^2*e*x^8 - 78732*a*b^2*d*x^7 + 1122660*a*b^2*c*x^6 - 151632*a^2*b*e*x^5 - 196830*a^2*b*d*x^4 + 976860*a^2*b*c*x^3 - 119556*a^3*e*x^2 - 144342*a^3*d*x + 236196*a^3*c + 2*(a^4*b^3*x^10 + 3*a^5*b^2*x^7 + 3*a^6*b*x^4 + a^7*x)*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)*log(-7/236196*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)^2*a^9*b*c - 45927*a*b*c*d^2 + 78400*a*b*c^2*e + 6480*a^2*d*e^2 + 1/243*(567*a^5*b*c*d - 40*a^6*e^2)*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4) - 400*(343*b^2*c^3 - 8*a^2*e^3)*x) + (118098*b^3*d*x^10 + 354294*a*b^2*d*x^7 + 354294*a^2*b*d*x^4 + 118098*a^3*d*x - (a^4*b^3*x^10 + 3*a^5*b^2*x^7 + 3*a^6*b*x^4 + a^7*x)*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4) + 3*sqrt(1/3)*(a^4*b^3*x^10 + 3*a^5*b^2*x^7 + 3*a^6*b*x^4 + a^7*x)*sqrt(-(((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)^2*a^8 - 78732*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)*a^4*d + 1549681956*d^2 - 5290790400*c*e)/a^8))*log(7/236196*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)^2*a^9*b*c + 45927*a*b*c*d^2 - 78400*a*b*c^2*e - 6480*a^2*d*e^2 - 1/243*(567*a^5*b*c*d - 40*a^6*e^2)*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4) - 800*(343*b^2*c^3 - 8*a^2*e^3)*x + 1/78732*sqrt(1/3)*(7*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)*a^9*b*c - 275562*a^5*b*c*d - 38880*a^6*e^2)*sqrt(-(((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)^2*a^8 - 78732*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)*a^4*d + 1549681956*d^2 - 5290790400*c*e)/a^8)) + (118098*b^3*d*x^10 + 354294*a*b^2*d*x^7 + 354294*a^2*b*d*x^4 + 118098*a^3*d*x - (a^4*b^3*x^10 + 3*a^5*b^2*x^7 + 3*a^6*b*x^4 + a^7*x)*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4) - 3*sqrt(1/3)*(a^4*b^3*x^10 + 3*a^5*b^2*x^7 + 3*a^6*b*x^4 + a^7*x)*sqrt(-(((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)^2*a^8 - 78732*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)*a^4*d + 1549681956*d^2 - 5290790400*c*e)/a^8))*log(7/236196*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)^2*a^9*b*c + 45927*a*b*c*d^2 - 78400*a*b*c^2*e - 6480*a^2*d*e^2 - 1/243*(567*a^5*b*c*d - 40*a^6*e^2)*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4) - 800*(343*b^2*c^3 - 8*a^2*e^3)*x - 1/78732*sqrt(1/3)*(7*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)*a^9*b*c - 275562*a^5*b*c*d - 38880*a^6*e^2)*sqrt(-(((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)^2*a^8 - 78732*((-I*sqrt(3) + 1)*(6561*d^2/a^8 - (6561*d^2 - 5600*c*e)/a^8)/(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*d^3/a^12 + 1/118098*(6561*d^2 - 5600*c*e)*d/a^12 + 1/28697814*(2744000*b^2*c^3 + 64000*a^2*e^3 - 243*(2187*d^3 - 5600*c*d*e)*a*b)/(a^13*b) - 4000/14348907*(343*b^2*c^3 - 8*a^2*e^3)/(a^13*b))^(1/3) + 39366*d/a^4)*a^4*d + 1549681956*d^2 - 5290790400*c*e)/a^8)) - 236196*(b^3*d*x^10 + 3*a*b^2*d*x^7 + 3*a^2*b*d*x^4 + a^3*d*x)*log(x))/(a^4*b^3*x^10 + 3*a^5*b^2*x^7 + 3*a^6*b*x^4 + a^7*x)","C",0
363,1,5049,0,1.453159," ","integrate((e*x^2+d*x+c)/x^3/(b*x^3+a)^4,x, algorithm=""fricas"")","-\frac{408240 \, b^{3} d x^{10} + 320760 \, b^{3} c x^{9} - 78732 \, a b^{2} e x^{8} + 1122660 \, a b^{2} d x^{7} + 833976 \, a b^{2} c x^{6} - 196830 \, a^{2} b e x^{5} + 976860 \, a^{2} b d x^{4} + 657558 \, a^{2} b c x^{3} - 144342 \, a^{3} e x^{2} + 236196 \, a^{3} d x + 118098 \, a^{3} c + 2 \, {\left(a^{4} b^{3} x^{11} + 3 \, a^{5} b^{2} x^{8} + 3 \, a^{6} b x^{5} + a^{7} x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} \log\left(\frac{7}{236196} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)}^{2} a^{10} d + 431200 \, a b c d^{2} - 196020 \, a b c^{2} e + 45927 \, a^{2} d e^{2} + \frac{1}{243} \, {\left(1210 \, a^{5} b c^{2} - 567 \, a^{6} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} + 400 \, {\left(1331 \, b^{2} c^{3} + 343 \, a b d^{3}\right)} x\right) + {\left(118098 \, b^{3} e x^{11} + 354294 \, a b^{2} e x^{8} + 354294 \, a^{2} b e x^{5} + 118098 \, a^{3} e x^{2} - {\left(a^{4} b^{3} x^{11} + 3 \, a^{5} b^{2} x^{8} + 3 \, a^{6} b x^{5} + a^{7} x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{3} x^{11} + 3 \, a^{5} b^{2} x^{8} + 3 \, a^{6} b x^{5} + a^{7} x^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)}^{2} a^{9} - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} a^{5} e + 29099347200 \, b c d + 1549681956 \, a e^{2}}{a^{9}}}\right)} \log\left(-\frac{7}{236196} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)}^{2} a^{10} d - 431200 \, a b c d^{2} + 196020 \, a b c^{2} e - 45927 \, a^{2} d e^{2} - \frac{1}{243} \, {\left(1210 \, a^{5} b c^{2} - 567 \, a^{6} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} + 800 \, {\left(1331 \, b^{2} c^{3} + 343 \, a b d^{3}\right)} x + \frac{1}{78732} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} a^{10} d - 1176120 \, a^{5} b c^{2} - 275562 \, a^{6} d e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)}^{2} a^{9} - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} a^{5} e + 29099347200 \, b c d + 1549681956 \, a e^{2}}{a^{9}}}\right) + {\left(118098 \, b^{3} e x^{11} + 354294 \, a b^{2} e x^{8} + 354294 \, a^{2} b e x^{5} + 118098 \, a^{3} e x^{2} - {\left(a^{4} b^{3} x^{11} + 3 \, a^{5} b^{2} x^{8} + 3 \, a^{6} b x^{5} + a^{7} x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{3} x^{11} + 3 \, a^{5} b^{2} x^{8} + 3 \, a^{6} b x^{5} + a^{7} x^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)}^{2} a^{9} - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} a^{5} e + 29099347200 \, b c d + 1549681956 \, a e^{2}}{a^{9}}}\right)} \log\left(-\frac{7}{236196} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)}^{2} a^{10} d - 431200 \, a b c d^{2} + 196020 \, a b c^{2} e - 45927 \, a^{2} d e^{2} - \frac{1}{243} \, {\left(1210 \, a^{5} b c^{2} - 567 \, a^{6} d e\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} + 800 \, {\left(1331 \, b^{2} c^{3} + 343 \, a b d^{3}\right)} x - \frac{1}{78732} \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} a^{10} d - 1176120 \, a^{5} b c^{2} - 275562 \, a^{6} d e\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)}^{2} a^{9} - 78732 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, e^{2}}{a^{8}} - \frac{30800 \, b c d + 6561 \, a e^{2}}{a^{9}}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}}} + 59049 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{12}} + \frac{{\left(30800 \, b c d + 6561 \, a e^{2}\right)} e}{118098 \, a^{13}} + \frac{4000 \, {\left(1331 \, b c^{3} + 343 \, a d^{3}\right)} b}{14348907 \, a^{14}} - \frac{10648000 \, b^{2} c^{3} + 531441 \, a^{2} e^{3} - 2800 \, {\left(980 \, d^{3} - 2673 \, c d e\right)} a b}{28697814 \, a^{14}}\right)}^{\frac{1}{3}} + \frac{39366 \, e}{a^{4}}\right)} a^{5} e + 29099347200 \, b c d + 1549681956 \, a e^{2}}{a^{9}}}\right) - 236196 \, {\left(b^{3} e x^{11} + 3 \, a b^{2} e x^{8} + 3 \, a^{2} b e x^{5} + a^{3} e x^{2}\right)} \log\left(x\right)}{236196 \, {\left(a^{4} b^{3} x^{11} + 3 \, a^{5} b^{2} x^{8} + 3 \, a^{6} b x^{5} + a^{7} x^{2}\right)}}"," ",0,"-1/236196*(408240*b^3*d*x^10 + 320760*b^3*c*x^9 - 78732*a*b^2*e*x^8 + 1122660*a*b^2*d*x^7 + 833976*a*b^2*c*x^6 - 196830*a^2*b*e*x^5 + 976860*a^2*b*d*x^4 + 657558*a^2*b*c*x^3 - 144342*a^3*e*x^2 + 236196*a^3*d*x + 118098*a^3*c + 2*(a^4*b^3*x^11 + 3*a^5*b^2*x^8 + 3*a^6*b*x^5 + a^7*x^2)*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)*log(7/236196*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)^2*a^10*d + 431200*a*b*c*d^2 - 196020*a*b*c^2*e + 45927*a^2*d*e^2 + 1/243*(1210*a^5*b*c^2 - 567*a^6*d*e)*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4) + 400*(1331*b^2*c^3 + 343*a*b*d^3)*x) + (118098*b^3*e*x^11 + 354294*a*b^2*e*x^8 + 354294*a^2*b*e*x^5 + 118098*a^3*e*x^2 - (a^4*b^3*x^11 + 3*a^5*b^2*x^8 + 3*a^6*b*x^5 + a^7*x^2)*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4) - 3*sqrt(1/3)*(a^4*b^3*x^11 + 3*a^5*b^2*x^8 + 3*a^6*b*x^5 + a^7*x^2)*sqrt(-(((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)^2*a^9 - 78732*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)*a^5*e + 29099347200*b*c*d + 1549681956*a*e^2)/a^9))*log(-7/236196*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)^2*a^10*d - 431200*a*b*c*d^2 + 196020*a*b*c^2*e - 45927*a^2*d*e^2 - 1/243*(1210*a^5*b*c^2 - 567*a^6*d*e)*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4) + 800*(1331*b^2*c^3 + 343*a*b*d^3)*x + 1/78732*sqrt(1/3)*(7*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)*a^10*d - 1176120*a^5*b*c^2 - 275562*a^6*d*e)*sqrt(-(((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)^2*a^9 - 78732*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)*a^5*e + 29099347200*b*c*d + 1549681956*a*e^2)/a^9)) + (118098*b^3*e*x^11 + 354294*a*b^2*e*x^8 + 354294*a^2*b*e*x^5 + 118098*a^3*e*x^2 - (a^4*b^3*x^11 + 3*a^5*b^2*x^8 + 3*a^6*b*x^5 + a^7*x^2)*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4) + 3*sqrt(1/3)*(a^4*b^3*x^11 + 3*a^5*b^2*x^8 + 3*a^6*b*x^5 + a^7*x^2)*sqrt(-(((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)^2*a^9 - 78732*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)*a^5*e + 29099347200*b*c*d + 1549681956*a*e^2)/a^9))*log(-7/236196*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)^2*a^10*d - 431200*a*b*c*d^2 + 196020*a*b*c^2*e - 45927*a^2*d*e^2 - 1/243*(1210*a^5*b*c^2 - 567*a^6*d*e)*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4) + 800*(1331*b^2*c^3 + 343*a*b*d^3)*x - 1/78732*sqrt(1/3)*(7*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)*a^10*d - 1176120*a^5*b*c^2 - 275562*a^6*d*e)*sqrt(-(((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)^2*a^9 - 78732*((-I*sqrt(3) + 1)*(6561*e^2/a^8 - (30800*b*c*d + 6561*a*e^2)/a^9)/(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 59049*(I*sqrt(3) + 1)*(-1/27*e^3/a^12 + 1/118098*(30800*b*c*d + 6561*a*e^2)*e/a^13 + 4000/14348907*(1331*b*c^3 + 343*a*d^3)*b/a^14 - 1/28697814*(10648000*b^2*c^3 + 531441*a^2*e^3 - 2800*(980*d^3 - 2673*c*d*e)*a*b)/a^14)^(1/3) + 39366*e/a^4)*a^5*e + 29099347200*b*c*d + 1549681956*a*e^2)/a^9)) - 236196*(b^3*e*x^11 + 3*a*b^2*e*x^8 + 3*a^2*b*e*x^5 + a^3*e*x^2)*log(x))/(a^4*b^3*x^11 + 3*a^5*b^2*x^8 + 3*a^6*b*x^5 + a^7*x^2)","C",0
364,1,5670,0,2.029860," ","integrate((e*x^2+d*x+c)/x^4/(b*x^3+a)^4,x, algorithm=""fricas"")","-\frac{840 \, a b^{3} e x^{11} + 660 \, a b^{3} d x^{10} + 648 \, a b^{3} c x^{9} + 2310 \, a^{2} b^{2} e x^{8} + 1716 \, a^{2} b^{2} d x^{7} + 1620 \, a^{2} b^{2} c x^{6} + 2010 \, a^{3} b e x^{5} + 1353 \, a^{3} b d x^{4} + 1188 \, a^{3} b c x^{3} + 486 \, a^{4} e x^{2} + 243 \, a^{4} d x + 162 \, a^{4} c + 2 \, {\left(a^{5} b^{3} x^{12} + 3 \, a^{6} b^{2} x^{9} + 3 \, a^{7} b x^{6} + a^{8} x^{3}\right)} {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} \log\left(7 \, {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)}^{2} a^{10} e + 784080 \, b^{2} c d^{2} + 734832 \, b^{2} c^{2} e + 431200 \, a b d e^{2} + 4 \, {\left(605 \, a^{5} b d^{2} + 1134 \, a^{5} b c e\right)} {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} + 400 \, {\left(1331 \, b^{2} d^{3} + 343 \, a b e^{3}\right)} x\right) - {\left(972 \, b^{4} c x^{12} + 2916 \, a b^{3} c x^{9} + 2916 \, a^{2} b^{2} c x^{6} + 972 \, a^{3} b c x^{3} + {\left(a^{5} b^{3} x^{12} + 3 \, a^{6} b^{2} x^{9} + 3 \, a^{7} b x^{6} + a^{8} x^{3}\right)} {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{5} b^{3} x^{12} + 3 \, a^{6} b^{2} x^{9} + 3 \, a^{7} b x^{6} + a^{8} x^{3}\right)} \sqrt{-\frac{{\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)}^{2} a^{10} + 648 \, {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} a^{5} b c + 104976 \, b^{2} c^{2} + 123200 \, a b d e}{a^{10}}}\right)} \log\left(-7 \, {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)}^{2} a^{10} e - 784080 \, b^{2} c d^{2} - 734832 \, b^{2} c^{2} e - 431200 \, a b d e^{2} - 4 \, {\left(605 \, a^{5} b d^{2} + 1134 \, a^{5} b c e\right)} {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} + 800 \, {\left(1331 \, b^{2} d^{3} + 343 \, a b e^{3}\right)} x + 3 \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} a^{10} e - 2420 \, a^{5} b d^{2} + 2268 \, a^{5} b c e\right)} \sqrt{-\frac{{\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)}^{2} a^{10} + 648 \, {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} a^{5} b c + 104976 \, b^{2} c^{2} + 123200 \, a b d e}{a^{10}}}\right) - {\left(972 \, b^{4} c x^{12} + 2916 \, a b^{3} c x^{9} + 2916 \, a^{2} b^{2} c x^{6} + 972 \, a^{3} b c x^{3} + {\left(a^{5} b^{3} x^{12} + 3 \, a^{6} b^{2} x^{9} + 3 \, a^{7} b x^{6} + a^{8} x^{3}\right)} {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{5} b^{3} x^{12} + 3 \, a^{6} b^{2} x^{9} + 3 \, a^{7} b x^{6} + a^{8} x^{3}\right)} \sqrt{-\frac{{\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)}^{2} a^{10} + 648 \, {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} a^{5} b c + 104976 \, b^{2} c^{2} + 123200 \, a b d e}{a^{10}}}\right)} \log\left(-7 \, {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)}^{2} a^{10} e - 784080 \, b^{2} c d^{2} - 734832 \, b^{2} c^{2} e - 431200 \, a b d e^{2} - 4 \, {\left(605 \, a^{5} b d^{2} + 1134 \, a^{5} b c e\right)} {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} + 800 \, {\left(1331 \, b^{2} d^{3} + 343 \, a b e^{3}\right)} x - 3 \, \sqrt{\frac{1}{3}} {\left(7 \, {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} a^{10} e - 2420 \, a^{5} b d^{2} + 2268 \, a^{5} b c e\right)} \sqrt{-\frac{{\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)}^{2} a^{10} + 648 \, {\left(\frac{4^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{6561 \, b^{2} c^{2}}{a^{10}} - \frac{6561 \, b^{2} c^{2} + 1925 \, a b d e}{a^{10}}\right)}}{{\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}}} + 4^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1062882 \, b^{3} c^{3}}{a^{15}} + \frac{125 \, {\left(1331 \, b d^{3} + 343 \, a e^{3}\right)} b}{a^{14}} - \frac{243 \, {\left(6561 \, b^{2} c^{2} + 1925 \, a b d e\right)} b c}{a^{15}} + \frac{531441 \, b^{3} c^{3} + 42875 \, a^{2} b e^{3} - 275 \, {\left(605 \, d^{3} - 1701 \, c d e\right)} a b^{2}}{a^{15}}\right)}^{\frac{1}{3}} - \frac{324 \, b c}{a^{5}}\right)} a^{5} b c + 104976 \, b^{2} c^{2} + 123200 \, a b d e}{a^{10}}}\right) + 1944 \, {\left(b^{4} c x^{12} + 3 \, a b^{3} c x^{9} + 3 \, a^{2} b^{2} c x^{6} + a^{3} b c x^{3}\right)} \log\left(x\right)}{486 \, {\left(a^{5} b^{3} x^{12} + 3 \, a^{6} b^{2} x^{9} + 3 \, a^{7} b x^{6} + a^{8} x^{3}\right)}}"," ",0,"-1/486*(840*a*b^3*e*x^11 + 660*a*b^3*d*x^10 + 648*a*b^3*c*x^9 + 2310*a^2*b^2*e*x^8 + 1716*a^2*b^2*d*x^7 + 1620*a^2*b^2*c*x^6 + 2010*a^3*b*e*x^5 + 1353*a^3*b*d*x^4 + 1188*a^3*b*c*x^3 + 486*a^4*e*x^2 + 243*a^4*d*x + 162*a^4*c + 2*(a^5*b^3*x^12 + 3*a^6*b^2*x^9 + 3*a^7*b*x^6 + a^8*x^3)*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)*log(7*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)^2*a^10*e + 784080*b^2*c*d^2 + 734832*b^2*c^2*e + 431200*a*b*d*e^2 + 4*(605*a^5*b*d^2 + 1134*a^5*b*c*e)*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5) + 400*(1331*b^2*d^3 + 343*a*b*e^3)*x) - (972*b^4*c*x^12 + 2916*a*b^3*c*x^9 + 2916*a^2*b^2*c*x^6 + 972*a^3*b*c*x^3 + (a^5*b^3*x^12 + 3*a^6*b^2*x^9 + 3*a^7*b*x^6 + a^8*x^3)*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5) + 3*sqrt(1/3)*(a^5*b^3*x^12 + 3*a^6*b^2*x^9 + 3*a^7*b*x^6 + a^8*x^3)*sqrt(-((4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)^2*a^10 + 648*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)*a^5*b*c + 104976*b^2*c^2 + 123200*a*b*d*e)/a^10))*log(-7*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)^2*a^10*e - 784080*b^2*c*d^2 - 734832*b^2*c^2*e - 431200*a*b*d*e^2 - 4*(605*a^5*b*d^2 + 1134*a^5*b*c*e)*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5) + 800*(1331*b^2*d^3 + 343*a*b*e^3)*x + 3*sqrt(1/3)*(7*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)*a^10*e - 2420*a^5*b*d^2 + 2268*a^5*b*c*e)*sqrt(-((4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)^2*a^10 + 648*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)*a^5*b*c + 104976*b^2*c^2 + 123200*a*b*d*e)/a^10)) - (972*b^4*c*x^12 + 2916*a*b^3*c*x^9 + 2916*a^2*b^2*c*x^6 + 972*a^3*b*c*x^3 + (a^5*b^3*x^12 + 3*a^6*b^2*x^9 + 3*a^7*b*x^6 + a^8*x^3)*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5) - 3*sqrt(1/3)*(a^5*b^3*x^12 + 3*a^6*b^2*x^9 + 3*a^7*b*x^6 + a^8*x^3)*sqrt(-((4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)^2*a^10 + 648*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)*a^5*b*c + 104976*b^2*c^2 + 123200*a*b*d*e)/a^10))*log(-7*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)^2*a^10*e - 784080*b^2*c*d^2 - 734832*b^2*c^2*e - 431200*a*b*d*e^2 - 4*(605*a^5*b*d^2 + 1134*a^5*b*c*e)*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5) + 800*(1331*b^2*d^3 + 343*a*b*e^3)*x - 3*sqrt(1/3)*(7*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)*a^10*e - 2420*a^5*b*d^2 + 2268*a^5*b*c*e)*sqrt(-((4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)^2*a^10 + 648*(4^(2/3)*(-I*sqrt(3) + 1)*(6561*b^2*c^2/a^10 - (6561*b^2*c^2 + 1925*a*b*d*e)/a^10)/(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) + 4^(1/3)*(I*sqrt(3) + 1)*(1062882*b^3*c^3/a^15 + 125*(1331*b*d^3 + 343*a*e^3)*b/a^14 - 243*(6561*b^2*c^2 + 1925*a*b*d*e)*b*c/a^15 + (531441*b^3*c^3 + 42875*a^2*b*e^3 - 275*(605*d^3 - 1701*c*d*e)*a*b^2)/a^15)^(1/3) - 324*b*c/a^5)*a^5*b*c + 104976*b^2*c^2 + 123200*a*b*d*e)/a^10)) + 1944*(b^4*c*x^12 + 3*a*b^3*c*x^9 + 3*a^2*b^2*c*x^6 + a^3*b*c*x^3)*log(x))/(a^5*b^3*x^12 + 3*a^6*b^2*x^9 + 3*a^7*b*x^6 + a^8*x^3)","C",0
365,1,26,0,0.398194," ","integrate((2*a*x-x^2)/(a^3+x^3),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, x\right)}}{3 \, a}\right) - \log\left(a + x\right)"," ",0,"2/3*sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*x)/a) - log(a + x)","A",0
366,1,26,0,0.414573," ","integrate((2*a-x)*x/(a^3+x^3),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, x\right)}}{3 \, a}\right) - \log\left(a + x\right)"," ",0,"2/3*sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*x)/a) - log(a + x)","A",0
367,1,28,0,0.434572," ","integrate((2*a*x+x^2)/(a^3-x^3),x, algorithm=""fricas"")","-\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + 2 \, x\right)}}{3 \, a}\right) - \log\left(-a + x\right)"," ",0,"-2/3*sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*x)/a) - log(-a + x)","A",0
368,1,28,0,0.396973," ","integrate(x*(2*a+x)/(a^3-x^3),x, algorithm=""fricas"")","-\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + 2 \, x\right)}}{3 \, a}\right) - \log\left(-a + x\right)"," ",0,"-2/3*sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*x)/a) - log(-a + x)","A",0
369,1,52,0,0.434927," ","integrate(x*(-2*(a/b)^(1/3)*C+C*x)/(b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} C \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) - 3 \, C \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b}"," ",0,"-1/3*(2*sqrt(3)*C*arctan(1/3*(2*sqrt(3)*b*x*(a/b)^(2/3) - sqrt(3)*a)/a) - 3*C*log(x + (a/b)^(1/3)))/b","A",0
370,1,53,0,0.442573," ","integrate(x*(-2*(-a/b)^(1/3)*C+C*x)/(-b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} C \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a}{b}\right)^{\frac{2}{3}} + \sqrt{3} a}{3 \, a}\right) + 3 \, C \log\left(x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b}"," ",0,"-1/3*(2*sqrt(3)*C*arctan(1/3*(2*sqrt(3)*b*x*(-a/b)^(2/3) + sqrt(3)*a)/a) + 3*C*log(x + (-a/b)^(1/3)))/b","A",0
371,1,56,0,0.442999," ","integrate(x*(2*(-a/b)^(1/3)*C+C*x)/(b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} C \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) - 3 \, C \log\left(x - \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b}"," ",0,"-1/3*(2*sqrt(3)*C*arctan(1/3*(2*sqrt(3)*b*x*(-a/b)^(2/3) - sqrt(3)*a)/a) - 3*C*log(x - (-a/b)^(1/3)))/b","A",0
372,1,53,0,0.427428," ","integrate(x*(2*(a/b)^(1/3)*C+C*x)/(-b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} C \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a}{b}\right)^{\frac{2}{3}} + \sqrt{3} a}{3 \, a}\right) + 3 \, C \log\left(x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b}"," ",0,"-1/3*(2*sqrt(3)*C*arctan(1/3*(2*sqrt(3)*b*x*(a/b)^(2/3) + sqrt(3)*a)/a) + 3*C*log(x - (a/b)^(1/3)))/b","A",0
373,1,85,0,0.356304," ","integrate(x^4*(b*x^3+a)*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{13} x^{13} h b + \frac{1}{12} x^{12} g b + \frac{1}{11} x^{11} f b + \frac{1}{10} x^{10} e b + \frac{1}{10} x^{10} h a + \frac{1}{9} x^{9} d b + \frac{1}{9} x^{9} g a + \frac{1}{8} x^{8} c b + \frac{1}{8} x^{8} f a + \frac{1}{7} x^{7} e a + \frac{1}{6} x^{6} d a + \frac{1}{5} x^{5} c a"," ",0,"1/13*x^13*h*b + 1/12*x^12*g*b + 1/11*x^11*f*b + 1/10*x^10*e*b + 1/10*x^10*h*a + 1/9*x^9*d*b + 1/9*x^9*g*a + 1/8*x^8*c*b + 1/8*x^8*f*a + 1/7*x^7*e*a + 1/6*x^6*d*a + 1/5*x^5*c*a","A",0
374,1,85,0,0.356296," ","integrate(x^3*(b*x^3+a)*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{12} x^{12} h b + \frac{1}{11} x^{11} g b + \frac{1}{10} x^{10} f b + \frac{1}{9} x^{9} e b + \frac{1}{9} x^{9} h a + \frac{1}{8} x^{8} d b + \frac{1}{8} x^{8} g a + \frac{1}{7} x^{7} c b + \frac{1}{7} x^{7} f a + \frac{1}{6} x^{6} e a + \frac{1}{5} x^{5} d a + \frac{1}{4} x^{4} c a"," ",0,"1/12*x^12*h*b + 1/11*x^11*g*b + 1/10*x^10*f*b + 1/9*x^9*e*b + 1/9*x^9*h*a + 1/8*x^8*d*b + 1/8*x^8*g*a + 1/7*x^7*c*b + 1/7*x^7*f*a + 1/6*x^6*e*a + 1/5*x^5*d*a + 1/4*x^4*c*a","A",0
375,1,85,0,0.371734," ","integrate(x^2*(b*x^3+a)*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{11} x^{11} h b + \frac{1}{10} x^{10} g b + \frac{1}{9} x^{9} f b + \frac{1}{8} x^{8} e b + \frac{1}{8} x^{8} h a + \frac{1}{7} x^{7} d b + \frac{1}{7} x^{7} g a + \frac{1}{6} x^{6} c b + \frac{1}{6} x^{6} f a + \frac{1}{5} x^{5} e a + \frac{1}{4} x^{4} d a + \frac{1}{3} x^{3} c a"," ",0,"1/11*x^11*h*b + 1/10*x^10*g*b + 1/9*x^9*f*b + 1/8*x^8*e*b + 1/8*x^8*h*a + 1/7*x^7*d*b + 1/7*x^7*g*a + 1/6*x^6*c*b + 1/6*x^6*f*a + 1/5*x^5*e*a + 1/4*x^4*d*a + 1/3*x^3*c*a","A",0
376,1,85,0,0.373651," ","integrate(x*(b*x^3+a)*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{10} x^{10} h b + \frac{1}{9} x^{9} g b + \frac{1}{8} x^{8} f b + \frac{1}{7} x^{7} e b + \frac{1}{7} x^{7} h a + \frac{1}{6} x^{6} d b + \frac{1}{6} x^{6} g a + \frac{1}{5} x^{5} c b + \frac{1}{5} x^{5} f a + \frac{1}{4} x^{4} e a + \frac{1}{3} x^{3} d a + \frac{1}{2} x^{2} c a"," ",0,"1/10*x^10*h*b + 1/9*x^9*g*b + 1/8*x^8*f*b + 1/7*x^7*e*b + 1/7*x^7*h*a + 1/6*x^6*d*b + 1/6*x^6*g*a + 1/5*x^5*c*b + 1/5*x^5*f*a + 1/4*x^4*e*a + 1/3*x^3*d*a + 1/2*x^2*c*a","A",0
377,1,82,0,0.367734," ","integrate((b*x^3+a)*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{9} x^{9} h b + \frac{1}{8} x^{8} g b + \frac{1}{7} x^{7} f b + \frac{1}{6} x^{6} e b + \frac{1}{6} x^{6} h a + \frac{1}{5} x^{5} d b + \frac{1}{5} x^{5} g a + \frac{1}{4} x^{4} c b + \frac{1}{4} x^{4} f a + \frac{1}{3} x^{3} e a + \frac{1}{2} x^{2} d a + x c a"," ",0,"1/9*x^9*h*b + 1/8*x^8*g*b + 1/7*x^7*f*b + 1/6*x^6*e*b + 1/6*x^6*h*a + 1/5*x^5*d*b + 1/5*x^5*g*a + 1/4*x^4*c*b + 1/4*x^4*f*a + 1/3*x^3*e*a + 1/2*x^2*d*a + x*c*a","A",0
378,1,74,0,0.405093," ","integrate((b*x^3+a)*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x,x, algorithm=""fricas"")","\frac{1}{8} \, b h x^{8} + \frac{1}{7} \, b g x^{7} + \frac{1}{6} \, b f x^{6} + \frac{1}{5} \, {\left(b e + a h\right)} x^{5} + \frac{1}{4} \, {\left(b d + a g\right)} x^{4} + \frac{1}{2} \, a e x^{2} + \frac{1}{3} \, {\left(b c + a f\right)} x^{3} + a d x + a c \log\left(x\right)"," ",0,"1/8*b*h*x^8 + 1/7*b*g*x^7 + 1/6*b*f*x^6 + 1/5*(b*e + a*h)*x^5 + 1/4*(b*d + a*g)*x^4 + 1/2*a*e*x^2 + 1/3*(b*c + a*f)*x^3 + a*d*x + a*c*log(x)","A",0
379,1,81,0,0.396149," ","integrate((b*x^3+a)*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^2,x, algorithm=""fricas"")","\frac{60 \, b h x^{8} + 70 \, b g x^{7} + 84 \, b f x^{6} + 105 \, {\left(b e + a h\right)} x^{5} + 140 \, {\left(b d + a g\right)} x^{4} + 420 \, a e x^{2} + 210 \, {\left(b c + a f\right)} x^{3} + 420 \, a d x \log\left(x\right) - 420 \, a c}{420 \, x}"," ",0,"1/420*(60*b*h*x^8 + 70*b*g*x^7 + 84*b*f*x^6 + 105*(b*e + a*h)*x^5 + 140*(b*d + a*g)*x^4 + 420*a*e*x^2 + 210*(b*c + a*f)*x^3 + 420*a*d*x*log(x) - 420*a*c)/x","A",0
380,1,81,0,0.412185," ","integrate((b*x^3+a)*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^3,x, algorithm=""fricas"")","\frac{10 \, b h x^{8} + 12 \, b g x^{7} + 15 \, b f x^{6} + 20 \, {\left(b e + a h\right)} x^{5} + 30 \, {\left(b d + a g\right)} x^{4} + 60 \, a e x^{2} \log\left(x\right) + 60 \, {\left(b c + a f\right)} x^{3} - 60 \, a d x - 30 \, a c}{60 \, x^{2}}"," ",0,"1/60*(10*b*h*x^8 + 12*b*g*x^7 + 15*b*f*x^6 + 20*(b*e + a*h)*x^5 + 30*(b*d + a*g)*x^4 + 60*a*e*x^2*log(x) + 60*(b*c + a*f)*x^3 - 60*a*d*x - 30*a*c)/x^2","A",0
381,1,81,0,0.400102," ","integrate((b*x^3+a)*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^4,x, algorithm=""fricas"")","\frac{12 \, b h x^{8} + 15 \, b g x^{7} + 20 \, b f x^{6} + 30 \, {\left(b e + a h\right)} x^{5} + 60 \, {\left(b d + a g\right)} x^{4} + 60 \, {\left(b c + a f\right)} x^{3} \log\left(x\right) - 60 \, a e x^{2} - 30 \, a d x - 20 \, a c}{60 \, x^{3}}"," ",0,"1/60*(12*b*h*x^8 + 15*b*g*x^7 + 20*b*f*x^6 + 30*(b*e + a*h)*x^5 + 60*(b*d + a*g)*x^4 + 60*(b*c + a*f)*x^3*log(x) - 60*a*e*x^2 - 30*a*d*x - 20*a*c)/x^3","A",0
382,1,81,0,0.399243," ","integrate((b*x^3+a)*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^5,x, algorithm=""fricas"")","\frac{3 \, b h x^{8} + 4 \, b g x^{7} + 6 \, b f x^{6} + 12 \, {\left(b e + a h\right)} x^{5} + 12 \, {\left(b d + a g\right)} x^{4} \log\left(x\right) - 6 \, a e x^{2} - 12 \, {\left(b c + a f\right)} x^{3} - 4 \, a d x - 3 \, a c}{12 \, x^{4}}"," ",0,"1/12*(3*b*h*x^8 + 4*b*g*x^7 + 6*b*f*x^6 + 12*(b*e + a*h)*x^5 + 12*(b*d + a*g)*x^4*log(x) - 6*a*e*x^2 - 12*(b*c + a*f)*x^3 - 4*a*d*x - 3*a*c)/x^4","A",0
383,1,157,0,0.369960," ","integrate(x^4*(b*x^3+a)^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{16} x^{16} h b^{2} + \frac{1}{15} x^{15} g b^{2} + \frac{1}{14} x^{14} f b^{2} + \frac{1}{13} x^{13} e b^{2} + \frac{2}{13} x^{13} h b a + \frac{1}{12} x^{12} d b^{2} + \frac{1}{6} x^{12} g b a + \frac{1}{11} x^{11} c b^{2} + \frac{2}{11} x^{11} f b a + \frac{1}{5} x^{10} e b a + \frac{1}{10} x^{10} h a^{2} + \frac{2}{9} x^{9} d b a + \frac{1}{9} x^{9} g a^{2} + \frac{1}{4} x^{8} c b a + \frac{1}{8} x^{8} f a^{2} + \frac{1}{7} x^{7} e a^{2} + \frac{1}{6} x^{6} d a^{2} + \frac{1}{5} x^{5} c a^{2}"," ",0,"1/16*x^16*h*b^2 + 1/15*x^15*g*b^2 + 1/14*x^14*f*b^2 + 1/13*x^13*e*b^2 + 2/13*x^13*h*b*a + 1/12*x^12*d*b^2 + 1/6*x^12*g*b*a + 1/11*x^11*c*b^2 + 2/11*x^11*f*b*a + 1/5*x^10*e*b*a + 1/10*x^10*h*a^2 + 2/9*x^9*d*b*a + 1/9*x^9*g*a^2 + 1/4*x^8*c*b*a + 1/8*x^8*f*a^2 + 1/7*x^7*e*a^2 + 1/6*x^6*d*a^2 + 1/5*x^5*c*a^2","A",0
384,1,157,0,0.370076," ","integrate(x^3*(b*x^3+a)^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{15} x^{15} h b^{2} + \frac{1}{14} x^{14} g b^{2} + \frac{1}{13} x^{13} f b^{2} + \frac{1}{12} x^{12} e b^{2} + \frac{1}{6} x^{12} h b a + \frac{1}{11} x^{11} d b^{2} + \frac{2}{11} x^{11} g b a + \frac{1}{10} x^{10} c b^{2} + \frac{1}{5} x^{10} f b a + \frac{2}{9} x^{9} e b a + \frac{1}{9} x^{9} h a^{2} + \frac{1}{4} x^{8} d b a + \frac{1}{8} x^{8} g a^{2} + \frac{2}{7} x^{7} c b a + \frac{1}{7} x^{7} f a^{2} + \frac{1}{6} x^{6} e a^{2} + \frac{1}{5} x^{5} d a^{2} + \frac{1}{4} x^{4} c a^{2}"," ",0,"1/15*x^15*h*b^2 + 1/14*x^14*g*b^2 + 1/13*x^13*f*b^2 + 1/12*x^12*e*b^2 + 1/6*x^12*h*b*a + 1/11*x^11*d*b^2 + 2/11*x^11*g*b*a + 1/10*x^10*c*b^2 + 1/5*x^10*f*b*a + 2/9*x^9*e*b*a + 1/9*x^9*h*a^2 + 1/4*x^8*d*b*a + 1/8*x^8*g*a^2 + 2/7*x^7*c*b*a + 1/7*x^7*f*a^2 + 1/6*x^6*e*a^2 + 1/5*x^5*d*a^2 + 1/4*x^4*c*a^2","A",0
385,1,157,0,0.342411," ","integrate(x^2*(b*x^3+a)^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{14} x^{14} h b^{2} + \frac{1}{13} x^{13} g b^{2} + \frac{1}{12} x^{12} f b^{2} + \frac{1}{11} x^{11} e b^{2} + \frac{2}{11} x^{11} h b a + \frac{1}{10} x^{10} d b^{2} + \frac{1}{5} x^{10} g b a + \frac{1}{9} x^{9} c b^{2} + \frac{2}{9} x^{9} f b a + \frac{1}{4} x^{8} e b a + \frac{1}{8} x^{8} h a^{2} + \frac{2}{7} x^{7} d b a + \frac{1}{7} x^{7} g a^{2} + \frac{1}{3} x^{6} c b a + \frac{1}{6} x^{6} f a^{2} + \frac{1}{5} x^{5} e a^{2} + \frac{1}{4} x^{4} d a^{2} + \frac{1}{3} x^{3} c a^{2}"," ",0,"1/14*x^14*h*b^2 + 1/13*x^13*g*b^2 + 1/12*x^12*f*b^2 + 1/11*x^11*e*b^2 + 2/11*x^11*h*b*a + 1/10*x^10*d*b^2 + 1/5*x^10*g*b*a + 1/9*x^9*c*b^2 + 2/9*x^9*f*b*a + 1/4*x^8*e*b*a + 1/8*x^8*h*a^2 + 2/7*x^7*d*b*a + 1/7*x^7*g*a^2 + 1/3*x^6*c*b*a + 1/6*x^6*f*a^2 + 1/5*x^5*e*a^2 + 1/4*x^4*d*a^2 + 1/3*x^3*c*a^2","A",0
386,1,157,0,0.366921," ","integrate(x*(b*x^3+a)^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{13} x^{13} h b^{2} + \frac{1}{12} x^{12} g b^{2} + \frac{1}{11} x^{11} f b^{2} + \frac{1}{10} x^{10} e b^{2} + \frac{1}{5} x^{10} h b a + \frac{1}{9} x^{9} d b^{2} + \frac{2}{9} x^{9} g b a + \frac{1}{8} x^{8} c b^{2} + \frac{1}{4} x^{8} f b a + \frac{2}{7} x^{7} e b a + \frac{1}{7} x^{7} h a^{2} + \frac{1}{3} x^{6} d b a + \frac{1}{6} x^{6} g a^{2} + \frac{2}{5} x^{5} c b a + \frac{1}{5} x^{5} f a^{2} + \frac{1}{4} x^{4} e a^{2} + \frac{1}{3} x^{3} d a^{2} + \frac{1}{2} x^{2} c a^{2}"," ",0,"1/13*x^13*h*b^2 + 1/12*x^12*g*b^2 + 1/11*x^11*f*b^2 + 1/10*x^10*e*b^2 + 1/5*x^10*h*b*a + 1/9*x^9*d*b^2 + 2/9*x^9*g*b*a + 1/8*x^8*c*b^2 + 1/4*x^8*f*b*a + 2/7*x^7*e*b*a + 1/7*x^7*h*a^2 + 1/3*x^6*d*b*a + 1/6*x^6*g*a^2 + 2/5*x^5*c*b*a + 1/5*x^5*f*a^2 + 1/4*x^4*e*a^2 + 1/3*x^3*d*a^2 + 1/2*x^2*c*a^2","A",0
387,1,154,0,0.369658," ","integrate((b*x^3+a)^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{12} x^{12} h b^{2} + \frac{1}{11} x^{11} g b^{2} + \frac{1}{10} x^{10} f b^{2} + \frac{1}{9} x^{9} e b^{2} + \frac{2}{9} x^{9} h b a + \frac{1}{8} x^{8} d b^{2} + \frac{1}{4} x^{8} g b a + \frac{1}{7} x^{7} c b^{2} + \frac{2}{7} x^{7} f b a + \frac{1}{3} x^{6} e b a + \frac{1}{6} x^{6} h a^{2} + \frac{2}{5} x^{5} d b a + \frac{1}{5} x^{5} g a^{2} + \frac{1}{2} x^{4} c b a + \frac{1}{4} x^{4} f a^{2} + \frac{1}{3} x^{3} e a^{2} + \frac{1}{2} x^{2} d a^{2} + x c a^{2}"," ",0,"1/12*x^12*h*b^2 + 1/11*x^11*g*b^2 + 1/10*x^10*f*b^2 + 1/9*x^9*e*b^2 + 2/9*x^9*h*b*a + 1/8*x^8*d*b^2 + 1/4*x^8*g*b*a + 1/7*x^7*c*b^2 + 2/7*x^7*f*b*a + 1/3*x^6*e*b*a + 1/6*x^6*h*a^2 + 2/5*x^5*d*b*a + 1/5*x^5*g*a^2 + 1/2*x^4*c*b*a + 1/4*x^4*f*a^2 + 1/3*x^3*e*a^2 + 1/2*x^2*d*a^2 + x*c*a^2","A",0
388,1,146,0,0.403258," ","integrate((b*x^3+a)^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x,x, algorithm=""fricas"")","\frac{1}{11} \, b^{2} h x^{11} + \frac{1}{10} \, b^{2} g x^{10} + \frac{1}{9} \, b^{2} f x^{9} + \frac{1}{8} \, {\left(b^{2} e + 2 \, a b h\right)} x^{8} + \frac{1}{7} \, {\left(b^{2} d + 2 \, a b g\right)} x^{7} + \frac{1}{6} \, {\left(b^{2} c + 2 \, a b f\right)} x^{6} + \frac{1}{5} \, {\left(2 \, a b e + a^{2} h\right)} x^{5} + \frac{1}{2} \, a^{2} e x^{2} + \frac{1}{4} \, {\left(2 \, a b d + a^{2} g\right)} x^{4} + a^{2} d x + \frac{1}{3} \, {\left(2 \, a b c + a^{2} f\right)} x^{3} + a^{2} c \log\left(x\right)"," ",0,"1/11*b^2*h*x^11 + 1/10*b^2*g*x^10 + 1/9*b^2*f*x^9 + 1/8*(b^2*e + 2*a*b*h)*x^8 + 1/7*(b^2*d + 2*a*b*g)*x^7 + 1/6*(b^2*c + 2*a*b*f)*x^6 + 1/5*(2*a*b*e + a^2*h)*x^5 + 1/2*a^2*e*x^2 + 1/4*(2*a*b*d + a^2*g)*x^4 + a^2*d*x + 1/3*(2*a*b*c + a^2*f)*x^3 + a^2*c*log(x)","A",0
389,1,153,0,0.411599," ","integrate((b*x^3+a)^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^2,x, algorithm=""fricas"")","\frac{252 \, b^{2} h x^{11} + 280 \, b^{2} g x^{10} + 315 \, b^{2} f x^{9} + 360 \, {\left(b^{2} e + 2 \, a b h\right)} x^{8} + 420 \, {\left(b^{2} d + 2 \, a b g\right)} x^{7} + 504 \, {\left(b^{2} c + 2 \, a b f\right)} x^{6} + 630 \, {\left(2 \, a b e + a^{2} h\right)} x^{5} + 2520 \, a^{2} e x^{2} + 840 \, {\left(2 \, a b d + a^{2} g\right)} x^{4} + 2520 \, a^{2} d x \log\left(x\right) + 1260 \, {\left(2 \, a b c + a^{2} f\right)} x^{3} - 2520 \, a^{2} c}{2520 \, x}"," ",0,"1/2520*(252*b^2*h*x^11 + 280*b^2*g*x^10 + 315*b^2*f*x^9 + 360*(b^2*e + 2*a*b*h)*x^8 + 420*(b^2*d + 2*a*b*g)*x^7 + 504*(b^2*c + 2*a*b*f)*x^6 + 630*(2*a*b*e + a^2*h)*x^5 + 2520*a^2*e*x^2 + 840*(2*a*b*d + a^2*g)*x^4 + 2520*a^2*d*x*log(x) + 1260*(2*a*b*c + a^2*f)*x^3 - 2520*a^2*c)/x","A",0
390,1,153,0,0.403226," ","integrate((b*x^3+a)^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^3,x, algorithm=""fricas"")","\frac{280 \, b^{2} h x^{11} + 315 \, b^{2} g x^{10} + 360 \, b^{2} f x^{9} + 420 \, {\left(b^{2} e + 2 \, a b h\right)} x^{8} + 504 \, {\left(b^{2} d + 2 \, a b g\right)} x^{7} + 630 \, {\left(b^{2} c + 2 \, a b f\right)} x^{6} + 840 \, {\left(2 \, a b e + a^{2} h\right)} x^{5} + 2520 \, a^{2} e x^{2} \log\left(x\right) + 1260 \, {\left(2 \, a b d + a^{2} g\right)} x^{4} - 2520 \, a^{2} d x + 2520 \, {\left(2 \, a b c + a^{2} f\right)} x^{3} - 1260 \, a^{2} c}{2520 \, x^{2}}"," ",0,"1/2520*(280*b^2*h*x^11 + 315*b^2*g*x^10 + 360*b^2*f*x^9 + 420*(b^2*e + 2*a*b*h)*x^8 + 504*(b^2*d + 2*a*b*g)*x^7 + 630*(b^2*c + 2*a*b*f)*x^6 + 840*(2*a*b*e + a^2*h)*x^5 + 2520*a^2*e*x^2*log(x) + 1260*(2*a*b*d + a^2*g)*x^4 - 2520*a^2*d*x + 2520*(2*a*b*c + a^2*f)*x^3 - 1260*a^2*c)/x^2","A",0
391,1,153,0,0.398444," ","integrate((b*x^3+a)^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^4,x, algorithm=""fricas"")","\frac{105 \, b^{2} h x^{11} + 120 \, b^{2} g x^{10} + 140 \, b^{2} f x^{9} + 168 \, {\left(b^{2} e + 2 \, a b h\right)} x^{8} + 210 \, {\left(b^{2} d + 2 \, a b g\right)} x^{7} + 280 \, {\left(b^{2} c + 2 \, a b f\right)} x^{6} + 420 \, {\left(2 \, a b e + a^{2} h\right)} x^{5} - 840 \, a^{2} e x^{2} + 840 \, {\left(2 \, a b d + a^{2} g\right)} x^{4} + 840 \, {\left(2 \, a b c + a^{2} f\right)} x^{3} \log\left(x\right) - 420 \, a^{2} d x - 280 \, a^{2} c}{840 \, x^{3}}"," ",0,"1/840*(105*b^2*h*x^11 + 120*b^2*g*x^10 + 140*b^2*f*x^9 + 168*(b^2*e + 2*a*b*h)*x^8 + 210*(b^2*d + 2*a*b*g)*x^7 + 280*(b^2*c + 2*a*b*f)*x^6 + 420*(2*a*b*e + a^2*h)*x^5 - 840*a^2*e*x^2 + 840*(2*a*b*d + a^2*g)*x^4 + 840*(2*a*b*c + a^2*f)*x^3*log(x) - 420*a^2*d*x - 280*a^2*c)/x^3","A",0
392,1,153,0,0.410018," ","integrate((b*x^3+a)^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^5,x, algorithm=""fricas"")","\frac{60 \, b^{2} h x^{11} + 70 \, b^{2} g x^{10} + 84 \, b^{2} f x^{9} + 105 \, {\left(b^{2} e + 2 \, a b h\right)} x^{8} + 140 \, {\left(b^{2} d + 2 \, a b g\right)} x^{7} + 210 \, {\left(b^{2} c + 2 \, a b f\right)} x^{6} + 420 \, {\left(2 \, a b e + a^{2} h\right)} x^{5} + 420 \, {\left(2 \, a b d + a^{2} g\right)} x^{4} \log\left(x\right) - 210 \, a^{2} e x^{2} - 140 \, a^{2} d x - 420 \, {\left(2 \, a b c + a^{2} f\right)} x^{3} - 105 \, a^{2} c}{420 \, x^{4}}"," ",0,"1/420*(60*b^2*h*x^11 + 70*b^2*g*x^10 + 84*b^2*f*x^9 + 105*(b^2*e + 2*a*b*h)*x^8 + 140*(b^2*d + 2*a*b*g)*x^7 + 210*(b^2*c + 2*a*b*f)*x^6 + 420*(2*a*b*e + a^2*h)*x^5 + 420*(2*a*b*d + a^2*g)*x^4*log(x) - 210*a^2*e*x^2 - 140*a^2*d*x - 420*(2*a*b*c + a^2*f)*x^3 - 105*a^2*c)/x^4","A",0
393,1,229,0,0.364705," ","integrate(x^4*(b*x^3+a)^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{19} x^{19} h b^{3} + \frac{1}{18} x^{18} g b^{3} + \frac{1}{17} x^{17} f b^{3} + \frac{1}{16} x^{16} e b^{3} + \frac{3}{16} x^{16} h b^{2} a + \frac{1}{15} x^{15} d b^{3} + \frac{1}{5} x^{15} g b^{2} a + \frac{1}{14} x^{14} c b^{3} + \frac{3}{14} x^{14} f b^{2} a + \frac{3}{13} x^{13} e b^{2} a + \frac{3}{13} x^{13} h b a^{2} + \frac{1}{4} x^{12} d b^{2} a + \frac{1}{4} x^{12} g b a^{2} + \frac{3}{11} x^{11} c b^{2} a + \frac{3}{11} x^{11} f b a^{2} + \frac{3}{10} x^{10} e b a^{2} + \frac{1}{10} x^{10} h a^{3} + \frac{1}{3} x^{9} d b a^{2} + \frac{1}{9} x^{9} g a^{3} + \frac{3}{8} x^{8} c b a^{2} + \frac{1}{8} x^{8} f a^{3} + \frac{1}{7} x^{7} e a^{3} + \frac{1}{6} x^{6} d a^{3} + \frac{1}{5} x^{5} c a^{3}"," ",0,"1/19*x^19*h*b^3 + 1/18*x^18*g*b^3 + 1/17*x^17*f*b^3 + 1/16*x^16*e*b^3 + 3/16*x^16*h*b^2*a + 1/15*x^15*d*b^3 + 1/5*x^15*g*b^2*a + 1/14*x^14*c*b^3 + 3/14*x^14*f*b^2*a + 3/13*x^13*e*b^2*a + 3/13*x^13*h*b*a^2 + 1/4*x^12*d*b^2*a + 1/4*x^12*g*b*a^2 + 3/11*x^11*c*b^2*a + 3/11*x^11*f*b*a^2 + 3/10*x^10*e*b*a^2 + 1/10*x^10*h*a^3 + 1/3*x^9*d*b*a^2 + 1/9*x^9*g*a^3 + 3/8*x^8*c*b*a^2 + 1/8*x^8*f*a^3 + 1/7*x^7*e*a^3 + 1/6*x^6*d*a^3 + 1/5*x^5*c*a^3","A",0
394,1,229,0,0.370383," ","integrate(x^3*(b*x^3+a)^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{18} x^{18} h b^{3} + \frac{1}{17} x^{17} g b^{3} + \frac{1}{16} x^{16} f b^{3} + \frac{1}{15} x^{15} e b^{3} + \frac{1}{5} x^{15} h b^{2} a + \frac{1}{14} x^{14} d b^{3} + \frac{3}{14} x^{14} g b^{2} a + \frac{1}{13} x^{13} c b^{3} + \frac{3}{13} x^{13} f b^{2} a + \frac{1}{4} x^{12} e b^{2} a + \frac{1}{4} x^{12} h b a^{2} + \frac{3}{11} x^{11} d b^{2} a + \frac{3}{11} x^{11} g b a^{2} + \frac{3}{10} x^{10} c b^{2} a + \frac{3}{10} x^{10} f b a^{2} + \frac{1}{3} x^{9} e b a^{2} + \frac{1}{9} x^{9} h a^{3} + \frac{3}{8} x^{8} d b a^{2} + \frac{1}{8} x^{8} g a^{3} + \frac{3}{7} x^{7} c b a^{2} + \frac{1}{7} x^{7} f a^{3} + \frac{1}{6} x^{6} e a^{3} + \frac{1}{5} x^{5} d a^{3} + \frac{1}{4} x^{4} c a^{3}"," ",0,"1/18*x^18*h*b^3 + 1/17*x^17*g*b^3 + 1/16*x^16*f*b^3 + 1/15*x^15*e*b^3 + 1/5*x^15*h*b^2*a + 1/14*x^14*d*b^3 + 3/14*x^14*g*b^2*a + 1/13*x^13*c*b^3 + 3/13*x^13*f*b^2*a + 1/4*x^12*e*b^2*a + 1/4*x^12*h*b*a^2 + 3/11*x^11*d*b^2*a + 3/11*x^11*g*b*a^2 + 3/10*x^10*c*b^2*a + 3/10*x^10*f*b*a^2 + 1/3*x^9*e*b*a^2 + 1/9*x^9*h*a^3 + 3/8*x^8*d*b*a^2 + 1/8*x^8*g*a^3 + 3/7*x^7*c*b*a^2 + 1/7*x^7*f*a^3 + 1/6*x^6*e*a^3 + 1/5*x^5*d*a^3 + 1/4*x^4*c*a^3","A",0
395,1,229,0,0.376225," ","integrate(x^2*(b*x^3+a)^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{17} x^{17} h b^{3} + \frac{1}{16} x^{16} g b^{3} + \frac{1}{15} x^{15} f b^{3} + \frac{1}{14} x^{14} e b^{3} + \frac{3}{14} x^{14} h b^{2} a + \frac{1}{13} x^{13} d b^{3} + \frac{3}{13} x^{13} g b^{2} a + \frac{1}{12} x^{12} c b^{3} + \frac{1}{4} x^{12} f b^{2} a + \frac{3}{11} x^{11} e b^{2} a + \frac{3}{11} x^{11} h b a^{2} + \frac{3}{10} x^{10} d b^{2} a + \frac{3}{10} x^{10} g b a^{2} + \frac{1}{3} x^{9} c b^{2} a + \frac{1}{3} x^{9} f b a^{2} + \frac{3}{8} x^{8} e b a^{2} + \frac{1}{8} x^{8} h a^{3} + \frac{3}{7} x^{7} d b a^{2} + \frac{1}{7} x^{7} g a^{3} + \frac{1}{2} x^{6} c b a^{2} + \frac{1}{6} x^{6} f a^{3} + \frac{1}{5} x^{5} e a^{3} + \frac{1}{4} x^{4} d a^{3} + \frac{1}{3} x^{3} c a^{3}"," ",0,"1/17*x^17*h*b^3 + 1/16*x^16*g*b^3 + 1/15*x^15*f*b^3 + 1/14*x^14*e*b^3 + 3/14*x^14*h*b^2*a + 1/13*x^13*d*b^3 + 3/13*x^13*g*b^2*a + 1/12*x^12*c*b^3 + 1/4*x^12*f*b^2*a + 3/11*x^11*e*b^2*a + 3/11*x^11*h*b*a^2 + 3/10*x^10*d*b^2*a + 3/10*x^10*g*b*a^2 + 1/3*x^9*c*b^2*a + 1/3*x^9*f*b*a^2 + 3/8*x^8*e*b*a^2 + 1/8*x^8*h*a^3 + 3/7*x^7*d*b*a^2 + 1/7*x^7*g*a^3 + 1/2*x^6*c*b*a^2 + 1/6*x^6*f*a^3 + 1/5*x^5*e*a^3 + 1/4*x^4*d*a^3 + 1/3*x^3*c*a^3","A",0
396,1,229,0,0.355663," ","integrate(x*(b*x^3+a)^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{16} x^{16} h b^{3} + \frac{1}{15} x^{15} g b^{3} + \frac{1}{14} x^{14} f b^{3} + \frac{1}{13} x^{13} e b^{3} + \frac{3}{13} x^{13} h b^{2} a + \frac{1}{12} x^{12} d b^{3} + \frac{1}{4} x^{12} g b^{2} a + \frac{1}{11} x^{11} c b^{3} + \frac{3}{11} x^{11} f b^{2} a + \frac{3}{10} x^{10} e b^{2} a + \frac{3}{10} x^{10} h b a^{2} + \frac{1}{3} x^{9} d b^{2} a + \frac{1}{3} x^{9} g b a^{2} + \frac{3}{8} x^{8} c b^{2} a + \frac{3}{8} x^{8} f b a^{2} + \frac{3}{7} x^{7} e b a^{2} + \frac{1}{7} x^{7} h a^{3} + \frac{1}{2} x^{6} d b a^{2} + \frac{1}{6} x^{6} g a^{3} + \frac{3}{5} x^{5} c b a^{2} + \frac{1}{5} x^{5} f a^{3} + \frac{1}{4} x^{4} e a^{3} + \frac{1}{3} x^{3} d a^{3} + \frac{1}{2} x^{2} c a^{3}"," ",0,"1/16*x^16*h*b^3 + 1/15*x^15*g*b^3 + 1/14*x^14*f*b^3 + 1/13*x^13*e*b^3 + 3/13*x^13*h*b^2*a + 1/12*x^12*d*b^3 + 1/4*x^12*g*b^2*a + 1/11*x^11*c*b^3 + 3/11*x^11*f*b^2*a + 3/10*x^10*e*b^2*a + 3/10*x^10*h*b*a^2 + 1/3*x^9*d*b^2*a + 1/3*x^9*g*b*a^2 + 3/8*x^8*c*b^2*a + 3/8*x^8*f*b*a^2 + 3/7*x^7*e*b*a^2 + 1/7*x^7*h*a^3 + 1/2*x^6*d*b*a^2 + 1/6*x^6*g*a^3 + 3/5*x^5*c*b*a^2 + 1/5*x^5*f*a^3 + 1/4*x^4*e*a^3 + 1/3*x^3*d*a^3 + 1/2*x^2*c*a^3","A",0
397,1,226,0,0.373166," ","integrate((b*x^3+a)^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","\frac{1}{15} x^{15} h b^{3} + \frac{1}{14} x^{14} g b^{3} + \frac{1}{13} x^{13} f b^{3} + \frac{1}{12} x^{12} e b^{3} + \frac{1}{4} x^{12} h b^{2} a + \frac{1}{11} x^{11} d b^{3} + \frac{3}{11} x^{11} g b^{2} a + \frac{1}{10} x^{10} c b^{3} + \frac{3}{10} x^{10} f b^{2} a + \frac{1}{3} x^{9} e b^{2} a + \frac{1}{3} x^{9} h b a^{2} + \frac{3}{8} x^{8} d b^{2} a + \frac{3}{8} x^{8} g b a^{2} + \frac{3}{7} x^{7} c b^{2} a + \frac{3}{7} x^{7} f b a^{2} + \frac{1}{2} x^{6} e b a^{2} + \frac{1}{6} x^{6} h a^{3} + \frac{3}{5} x^{5} d b a^{2} + \frac{1}{5} x^{5} g a^{3} + \frac{3}{4} x^{4} c b a^{2} + \frac{1}{4} x^{4} f a^{3} + \frac{1}{3} x^{3} e a^{3} + \frac{1}{2} x^{2} d a^{3} + x c a^{3}"," ",0,"1/15*x^15*h*b^3 + 1/14*x^14*g*b^3 + 1/13*x^13*f*b^3 + 1/12*x^12*e*b^3 + 1/4*x^12*h*b^2*a + 1/11*x^11*d*b^3 + 3/11*x^11*g*b^2*a + 1/10*x^10*c*b^3 + 3/10*x^10*f*b^2*a + 1/3*x^9*e*b^2*a + 1/3*x^9*h*b*a^2 + 3/8*x^8*d*b^2*a + 3/8*x^8*g*b*a^2 + 3/7*x^7*c*b^2*a + 3/7*x^7*f*b*a^2 + 1/2*x^6*e*b*a^2 + 1/6*x^6*h*a^3 + 3/5*x^5*d*b*a^2 + 1/5*x^5*g*a^3 + 3/4*x^4*c*b*a^2 + 1/4*x^4*f*a^3 + 1/3*x^3*e*a^3 + 1/2*x^2*d*a^3 + x*c*a^3","A",0
398,1,212,0,0.423345," ","integrate((b*x^3+a)^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x,x, algorithm=""fricas"")","\frac{1}{14} \, b^{3} h x^{14} + \frac{1}{13} \, b^{3} g x^{13} + \frac{1}{12} \, b^{3} f x^{12} + \frac{1}{11} \, {\left(b^{3} e + 3 \, a b^{2} h\right)} x^{11} + \frac{1}{10} \, {\left(b^{3} d + 3 \, a b^{2} g\right)} x^{10} + \frac{1}{9} \, {\left(b^{3} c + 3 \, a b^{2} f\right)} x^{9} + \frac{3}{8} \, {\left(a b^{2} e + a^{2} b h\right)} x^{8} + \frac{3}{7} \, {\left(a b^{2} d + a^{2} b g\right)} x^{7} + \frac{1}{2} \, {\left(a b^{2} c + a^{2} b f\right)} x^{6} + \frac{1}{2} \, a^{3} e x^{2} + \frac{1}{5} \, {\left(3 \, a^{2} b e + a^{3} h\right)} x^{5} + a^{3} d x + \frac{1}{4} \, {\left(3 \, a^{2} b d + a^{3} g\right)} x^{4} + a^{3} c \log\left(x\right) + \frac{1}{3} \, {\left(3 \, a^{2} b c + a^{3} f\right)} x^{3}"," ",0,"1/14*b^3*h*x^14 + 1/13*b^3*g*x^13 + 1/12*b^3*f*x^12 + 1/11*(b^3*e + 3*a*b^2*h)*x^11 + 1/10*(b^3*d + 3*a*b^2*g)*x^10 + 1/9*(b^3*c + 3*a*b^2*f)*x^9 + 3/8*(a*b^2*e + a^2*b*h)*x^8 + 3/7*(a*b^2*d + a^2*b*g)*x^7 + 1/2*(a*b^2*c + a^2*b*f)*x^6 + 1/2*a^3*e*x^2 + 1/5*(3*a^2*b*e + a^3*h)*x^5 + a^3*d*x + 1/4*(3*a^2*b*d + a^3*g)*x^4 + a^3*c*log(x) + 1/3*(3*a^2*b*c + a^3*f)*x^3","A",0
399,1,219,0,0.411749," ","integrate((b*x^3+a)^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^2,x, algorithm=""fricas"")","\frac{27720 \, b^{3} h x^{14} + 30030 \, b^{3} g x^{13} + 32760 \, b^{3} f x^{12} + 36036 \, {\left(b^{3} e + 3 \, a b^{2} h\right)} x^{11} + 40040 \, {\left(b^{3} d + 3 \, a b^{2} g\right)} x^{10} + 45045 \, {\left(b^{3} c + 3 \, a b^{2} f\right)} x^{9} + 154440 \, {\left(a b^{2} e + a^{2} b h\right)} x^{8} + 180180 \, {\left(a b^{2} d + a^{2} b g\right)} x^{7} + 216216 \, {\left(a b^{2} c + a^{2} b f\right)} x^{6} + 360360 \, a^{3} e x^{2} + 90090 \, {\left(3 \, a^{2} b e + a^{3} h\right)} x^{5} + 360360 \, a^{3} d x \log\left(x\right) + 120120 \, {\left(3 \, a^{2} b d + a^{3} g\right)} x^{4} - 360360 \, a^{3} c + 180180 \, {\left(3 \, a^{2} b c + a^{3} f\right)} x^{3}}{360360 \, x}"," ",0,"1/360360*(27720*b^3*h*x^14 + 30030*b^3*g*x^13 + 32760*b^3*f*x^12 + 36036*(b^3*e + 3*a*b^2*h)*x^11 + 40040*(b^3*d + 3*a*b^2*g)*x^10 + 45045*(b^3*c + 3*a*b^2*f)*x^9 + 154440*(a*b^2*e + a^2*b*h)*x^8 + 180180*(a*b^2*d + a^2*b*g)*x^7 + 216216*(a*b^2*c + a^2*b*f)*x^6 + 360360*a^3*e*x^2 + 90090*(3*a^2*b*e + a^3*h)*x^5 + 360360*a^3*d*x*log(x) + 120120*(3*a^2*b*d + a^3*g)*x^4 - 360360*a^3*c + 180180*(3*a^2*b*c + a^3*f)*x^3)/x","A",0
400,1,219,0,0.419574," ","integrate((b*x^3+a)^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^3,x, algorithm=""fricas"")","\frac{2310 \, b^{3} h x^{14} + 2520 \, b^{3} g x^{13} + 2772 \, b^{3} f x^{12} + 3080 \, {\left(b^{3} e + 3 \, a b^{2} h\right)} x^{11} + 3465 \, {\left(b^{3} d + 3 \, a b^{2} g\right)} x^{10} + 3960 \, {\left(b^{3} c + 3 \, a b^{2} f\right)} x^{9} + 13860 \, {\left(a b^{2} e + a^{2} b h\right)} x^{8} + 16632 \, {\left(a b^{2} d + a^{2} b g\right)} x^{7} + 20790 \, {\left(a b^{2} c + a^{2} b f\right)} x^{6} + 27720 \, a^{3} e x^{2} \log\left(x\right) + 9240 \, {\left(3 \, a^{2} b e + a^{3} h\right)} x^{5} - 27720 \, a^{3} d x + 13860 \, {\left(3 \, a^{2} b d + a^{3} g\right)} x^{4} - 13860 \, a^{3} c + 27720 \, {\left(3 \, a^{2} b c + a^{3} f\right)} x^{3}}{27720 \, x^{2}}"," ",0,"1/27720*(2310*b^3*h*x^14 + 2520*b^3*g*x^13 + 2772*b^3*f*x^12 + 3080*(b^3*e + 3*a*b^2*h)*x^11 + 3465*(b^3*d + 3*a*b^2*g)*x^10 + 3960*(b^3*c + 3*a*b^2*f)*x^9 + 13860*(a*b^2*e + a^2*b*h)*x^8 + 16632*(a*b^2*d + a^2*b*g)*x^7 + 20790*(a*b^2*c + a^2*b*f)*x^6 + 27720*a^3*e*x^2*log(x) + 9240*(3*a^2*b*e + a^3*h)*x^5 - 27720*a^3*d*x + 13860*(3*a^2*b*d + a^3*g)*x^4 - 13860*a^3*c + 27720*(3*a^2*b*c + a^3*f)*x^3)/x^2","A",0
401,1,219,0,0.420535," ","integrate((b*x^3+a)^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^4,x, algorithm=""fricas"")","\frac{2520 \, b^{3} h x^{14} + 2772 \, b^{3} g x^{13} + 3080 \, b^{3} f x^{12} + 3465 \, {\left(b^{3} e + 3 \, a b^{2} h\right)} x^{11} + 3960 \, {\left(b^{3} d + 3 \, a b^{2} g\right)} x^{10} + 4620 \, {\left(b^{3} c + 3 \, a b^{2} f\right)} x^{9} + 16632 \, {\left(a b^{2} e + a^{2} b h\right)} x^{8} + 20790 \, {\left(a b^{2} d + a^{2} b g\right)} x^{7} + 27720 \, {\left(a b^{2} c + a^{2} b f\right)} x^{6} - 27720 \, a^{3} e x^{2} + 13860 \, {\left(3 \, a^{2} b e + a^{3} h\right)} x^{5} - 13860 \, a^{3} d x + 27720 \, {\left(3 \, a^{2} b d + a^{3} g\right)} x^{4} + 27720 \, {\left(3 \, a^{2} b c + a^{3} f\right)} x^{3} \log\left(x\right) - 9240 \, a^{3} c}{27720 \, x^{3}}"," ",0,"1/27720*(2520*b^3*h*x^14 + 2772*b^3*g*x^13 + 3080*b^3*f*x^12 + 3465*(b^3*e + 3*a*b^2*h)*x^11 + 3960*(b^3*d + 3*a*b^2*g)*x^10 + 4620*(b^3*c + 3*a*b^2*f)*x^9 + 16632*(a*b^2*e + a^2*b*h)*x^8 + 20790*(a*b^2*d + a^2*b*g)*x^7 + 27720*(a*b^2*c + a^2*b*f)*x^6 - 27720*a^3*e*x^2 + 13860*(3*a^2*b*e + a^3*h)*x^5 - 13860*a^3*d*x + 27720*(3*a^2*b*d + a^3*g)*x^4 + 27720*(3*a^2*b*c + a^3*f)*x^3*log(x) - 9240*a^3*c)/x^3","A",0
402,1,219,0,0.404710," ","integrate((b*x^3+a)^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^5,x, algorithm=""fricas"")","\frac{252 \, b^{3} h x^{14} + 280 \, b^{3} g x^{13} + 315 \, b^{3} f x^{12} + 360 \, {\left(b^{3} e + 3 \, a b^{2} h\right)} x^{11} + 420 \, {\left(b^{3} d + 3 \, a b^{2} g\right)} x^{10} + 504 \, {\left(b^{3} c + 3 \, a b^{2} f\right)} x^{9} + 1890 \, {\left(a b^{2} e + a^{2} b h\right)} x^{8} + 2520 \, {\left(a b^{2} d + a^{2} b g\right)} x^{7} + 3780 \, {\left(a b^{2} c + a^{2} b f\right)} x^{6} - 1260 \, a^{3} e x^{2} + 2520 \, {\left(3 \, a^{2} b e + a^{3} h\right)} x^{5} + 2520 \, {\left(3 \, a^{2} b d + a^{3} g\right)} x^{4} \log\left(x\right) - 840 \, a^{3} d x - 630 \, a^{3} c - 2520 \, {\left(3 \, a^{2} b c + a^{3} f\right)} x^{3}}{2520 \, x^{4}}"," ",0,"1/2520*(252*b^3*h*x^14 + 280*b^3*g*x^13 + 315*b^3*f*x^12 + 360*(b^3*e + 3*a*b^2*h)*x^11 + 420*(b^3*d + 3*a*b^2*g)*x^10 + 504*(b^3*c + 3*a*b^2*f)*x^9 + 1890*(a*b^2*e + a^2*b*h)*x^8 + 2520*(a*b^2*d + a^2*b*g)*x^7 + 3780*(a*b^2*c + a^2*b*f)*x^6 - 1260*a^3*e*x^2 + 2520*(3*a^2*b*e + a^3*h)*x^5 + 2520*(3*a^2*b*d + a^3*g)*x^4*log(x) - 840*a^3*d*x - 630*a^3*c - 2520*(3*a^2*b*c + a^3*f)*x^3)/x^4","A",0
403,-1,0,0,0.000000," ","integrate(x^4*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
404,-1,0,0,0.000000," ","integrate(x^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
405,-1,0,0,0.000000," ","integrate(x^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
406,-1,0,0,0.000000," ","integrate(x*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
407,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
408,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x/(b*x^3+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
409,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^2/(b*x^3+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
410,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^3/(b*x^3+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
411,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^4/(b*x^3+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
412,-1,0,0,0.000000," ","integrate(x^4*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
413,-1,0,0,0.000000," ","integrate(x^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
414,1,12153,0,1.813890," ","integrate(x^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{18 \, b h x^{5} + 36 \, b g x^{4} - 6 \, {\left(2 \, b e - 5 \, a h\right)} x^{2} - 2 \, {\left(b^{3} x^{3} + a b^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)} \log\left(-8 \, a b^{3} d e^{2} + 3 \, a b^{3} d^{2} f - 18 \, a^{2} b^{2} e f^{2} + 48 \, a^{3} b f g^{2} - \frac{1}{4} \, {\left(2 \, a^{2} b^{6} e - 5 \, a^{3} b^{5} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)}^{2} - 50 \, {\left(a^{3} b d - 4 \, a^{4} g\right)} h^{2} + \frac{1}{2} \, {\left(a b^{5} d^{2} - 12 \, a^{2} b^{4} e f - 8 \, a^{2} b^{4} d g + 16 \, a^{3} b^{3} g^{2} + 30 \, a^{3} b^{3} f h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)} + 8 \, {\left(4 \, a^{2} b^{2} e^{2} - 3 \, a^{2} b^{2} d f\right)} g + 5 \, {\left(8 \, a^{2} b^{2} d e + 9 \, a^{3} b f^{2} - 32 \, a^{3} b e g\right)} h - {\left(b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}\right)} x\right) - 12 \, b c + 12 \, a f - 12 \, {\left(b d - 4 \, a g\right)} x + {\left(18 \, b f x^{3} + {\left(b^{3} x^{3} + a b^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)} + 18 \, a f - 3 \, \sqrt{\frac{1}{3}} {\left(b^{3} x^{3} + a b^{2}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)}^{2} a b^{5} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)} a b^{3} f + 32 \, b^{2} d e + 36 \, a b f^{2} - 128 \, a b e g - 80 \, {\left(a b d - 4 \, a^{2} g\right)} h}{a b^{5}}}\right)} \log\left(8 \, a b^{3} d e^{2} - 3 \, a b^{3} d^{2} f + 18 \, a^{2} b^{2} e f^{2} - 48 \, a^{3} b f g^{2} + \frac{1}{4} \, {\left(2 \, a^{2} b^{6} e - 5 \, a^{3} b^{5} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)}^{2} + 50 \, {\left(a^{3} b d - 4 \, a^{4} g\right)} h^{2} - \frac{1}{2} \, {\left(a b^{5} d^{2} - 12 \, a^{2} b^{4} e f - 8 \, a^{2} b^{4} d g + 16 \, a^{3} b^{3} g^{2} + 30 \, a^{3} b^{3} f h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)} - 8 \, {\left(4 \, a^{2} b^{2} e^{2} - 3 \, a^{2} b^{2} d f\right)} g - 5 \, {\left(8 \, a^{2} b^{2} d e + 9 \, a^{3} b f^{2} - 32 \, a^{3} b e g\right)} h - 2 \, {\left(b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a b^{5} d^{2} + 12 \, a^{2} b^{4} e f - 16 \, a^{2} b^{4} d g + 32 \, a^{3} b^{3} g^{2} - 30 \, a^{3} b^{3} f h + {\left(2 \, a^{2} b^{6} e - 5 \, a^{3} b^{5} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)}^{2} a b^{5} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)} a b^{3} f + 32 \, b^{2} d e + 36 \, a b f^{2} - 128 \, a b e g - 80 \, {\left(a b d - 4 \, a^{2} g\right)} h}{a b^{5}}}\right) + {\left(18 \, b f x^{3} + {\left(b^{3} x^{3} + a b^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)} + 18 \, a f + 3 \, \sqrt{\frac{1}{3}} {\left(b^{3} x^{3} + a b^{2}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)}^{2} a b^{5} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)} a b^{3} f + 32 \, b^{2} d e + 36 \, a b f^{2} - 128 \, a b e g - 80 \, {\left(a b d - 4 \, a^{2} g\right)} h}{a b^{5}}}\right)} \log\left(8 \, a b^{3} d e^{2} - 3 \, a b^{3} d^{2} f + 18 \, a^{2} b^{2} e f^{2} - 48 \, a^{3} b f g^{2} + \frac{1}{4} \, {\left(2 \, a^{2} b^{6} e - 5 \, a^{3} b^{5} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)}^{2} + 50 \, {\left(a^{3} b d - 4 \, a^{4} g\right)} h^{2} - \frac{1}{2} \, {\left(a b^{5} d^{2} - 12 \, a^{2} b^{4} e f - 8 \, a^{2} b^{4} d g + 16 \, a^{3} b^{3} g^{2} + 30 \, a^{3} b^{3} f h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)} - 8 \, {\left(4 \, a^{2} b^{2} e^{2} - 3 \, a^{2} b^{2} d f\right)} g - 5 \, {\left(8 \, a^{2} b^{2} d e + 9 \, a^{3} b f^{2} - 32 \, a^{3} b e g\right)} h - 2 \, {\left(b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a b^{5} d^{2} + 12 \, a^{2} b^{4} e f - 16 \, a^{2} b^{4} d g + 32 \, a^{3} b^{3} g^{2} - 30 \, a^{3} b^{3} f h + {\left(2 \, a^{2} b^{6} e - 5 \, a^{3} b^{5} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)}^{2} a b^{5} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, f^{2}}{b^{4}} - \frac{2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b}{a b^{5}}\right)}}{{\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, f^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{2} d e + 20 \, a^{2} g h + {\left(9 \, f^{2} - 8 \, e g - 5 \, d h\right)} a b\right)} f}{a b^{7}} - \frac{b^{4} d^{3} + 8 \, a b^{3} e^{3} - 12 \, a b^{3} d^{2} g + 48 \, a^{2} b^{2} d g^{2} - 64 \, a^{3} b g^{3} - 60 \, a^{2} b^{2} e^{2} h + 150 \, a^{3} b e h^{2} - 125 \, a^{4} h^{3}}{a^{2} b^{8}} + \frac{b^{4} d^{3} + 125 \, a^{4} h^{3} - 2 \, {\left(32 \, g^{3} - 90 \, f g h + 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(9 \, f^{3} - 24 \, e f g + 20 \, e^{2} h + {\left(16 \, g^{2} - 15 \, f h\right)} d\right)} a^{2} b^{2} - 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, d^{2} g\right)} a b^{3}}{a^{2} b^{8}}\right)}^{\frac{1}{3}} - \frac{6 \, f}{b^{2}}\right)} a b^{3} f + 32 \, b^{2} d e + 36 \, a b f^{2} - 128 \, a b e g - 80 \, {\left(a b d - 4 \, a^{2} g\right)} h}{a b^{5}}}\right)}{36 \, {\left(b^{3} x^{3} + a b^{2}\right)}}"," ",0,"1/36*(18*b*h*x^5 + 36*b*g*x^4 - 6*(2*b*e - 5*a*h)*x^2 - 2*(b^3*x^3 + a*b^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)*log(-8*a*b^3*d*e^2 + 3*a*b^3*d^2*f - 18*a^2*b^2*e*f^2 + 48*a^3*b*f*g^2 - 1/4*(2*a^2*b^6*e - 5*a^3*b^5*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)^2 - 50*(a^3*b*d - 4*a^4*g)*h^2 + 1/2*(a*b^5*d^2 - 12*a^2*b^4*e*f - 8*a^2*b^4*d*g + 16*a^3*b^3*g^2 + 30*a^3*b^3*f*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2) + 8*(4*a^2*b^2*e^2 - 3*a^2*b^2*d*f)*g + 5*(8*a^2*b^2*d*e + 9*a^3*b*f^2 - 32*a^3*b*e*g)*h - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)*x) - 12*b*c + 12*a*f - 12*(b*d - 4*a*g)*x + (18*b*f*x^3 + (b^3*x^3 + a*b^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2) + 18*a*f - 3*sqrt(1/3)*(b^3*x^3 + a*b^2)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)^2*a*b^5 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)*a*b^3*f + 32*b^2*d*e + 36*a*b*f^2 - 128*a*b*e*g - 80*(a*b*d - 4*a^2*g)*h)/(a*b^5)))*log(8*a*b^3*d*e^2 - 3*a*b^3*d^2*f + 18*a^2*b^2*e*f^2 - 48*a^3*b*f*g^2 + 1/4*(2*a^2*b^6*e - 5*a^3*b^5*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)^2 + 50*(a^3*b*d - 4*a^4*g)*h^2 - 1/2*(a*b^5*d^2 - 12*a^2*b^4*e*f - 8*a^2*b^4*d*g + 16*a^3*b^3*g^2 + 30*a^3*b^3*f*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2) - 8*(4*a^2*b^2*e^2 - 3*a^2*b^2*d*f)*g - 5*(8*a^2*b^2*d*e + 9*a^3*b*f^2 - 32*a^3*b*e*g)*h - 2*(b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)*x + 3/4*sqrt(1/3)*(2*a*b^5*d^2 + 12*a^2*b^4*e*f - 16*a^2*b^4*d*g + 32*a^3*b^3*g^2 - 30*a^3*b^3*f*h + (2*a^2*b^6*e - 5*a^3*b^5*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2))*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)^2*a*b^5 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)*a*b^3*f + 32*b^2*d*e + 36*a*b*f^2 - 128*a*b*e*g - 80*(a*b*d - 4*a^2*g)*h)/(a*b^5))) + (18*b*f*x^3 + (b^3*x^3 + a*b^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2) + 18*a*f + 3*sqrt(1/3)*(b^3*x^3 + a*b^2)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)^2*a*b^5 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)*a*b^3*f + 32*b^2*d*e + 36*a*b*f^2 - 128*a*b*e*g - 80*(a*b*d - 4*a^2*g)*h)/(a*b^5)))*log(8*a*b^3*d*e^2 - 3*a*b^3*d^2*f + 18*a^2*b^2*e*f^2 - 48*a^3*b*f*g^2 + 1/4*(2*a^2*b^6*e - 5*a^3*b^5*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)^2 + 50*(a^3*b*d - 4*a^4*g)*h^2 - 1/2*(a*b^5*d^2 - 12*a^2*b^4*e*f - 8*a^2*b^4*d*g + 16*a^3*b^3*g^2 + 30*a^3*b^3*f*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2) - 8*(4*a^2*b^2*e^2 - 3*a^2*b^2*d*f)*g - 5*(8*a^2*b^2*d*e + 9*a^3*b*f^2 - 32*a^3*b*e*g)*h - 2*(b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)*x - 3/4*sqrt(1/3)*(2*a*b^5*d^2 + 12*a^2*b^4*e*f - 16*a^2*b^4*d*g + 32*a^3*b^3*g^2 - 30*a^3*b^3*f*h + (2*a^2*b^6*e - 5*a^3*b^5*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2))*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)^2*a*b^5 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*f^2/b^4 - (2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)/(a*b^5))/(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*f^3/b^6 - 9*(2*b^2*d*e + 20*a^2*g*h + (9*f^2 - 8*e*g - 5*d*h)*a*b)*f/(a*b^7) - (b^4*d^3 + 8*a*b^3*e^3 - 12*a*b^3*d^2*g + 48*a^2*b^2*d*g^2 - 64*a^3*b*g^3 - 60*a^2*b^2*e^2*h + 150*a^3*b*e*h^2 - 125*a^4*h^3)/(a^2*b^8) + (b^4*d^3 + 125*a^4*h^3 - 2*(32*g^3 - 90*f*g*h + 75*e*h^2)*a^3*b + 3*(9*f^3 - 24*e*f*g + 20*e^2*h + (16*g^2 - 15*f*h)*d)*a^2*b^2 - 2*(4*e^3 - 9*d*e*f + 6*d^2*g)*a*b^3)/(a^2*b^8))^(1/3) - 6*f/b^2)*a*b^3*f + 32*b^2*d*e + 36*a*b*f^2 - 128*a*b*e*g - 80*(a*b*d - 4*a^2*g)*h)/(a*b^5))))/(b^3*x^3 + a*b^2)","C",0
415,1,12617,0,2.034854," ","integrate(x*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{36 \, a b h x^{4} - 12 \, a b d + 12 \, a^{2} g + 12 \, {\left(b^{2} c - a b f\right)} x^{2} - 2 \, {\left(a b^{3} x^{3} + a^{2} b^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} \log\left(-2 \, a b^{4} c^{2} e - 8 \, a^{2} b^{3} c e f - 8 \, a^{3} b^{2} e f^{2} + 3 \, a^{3} b^{2} e^{2} g + 48 \, a^{5} g h^{2} - \frac{1}{4} \, {\left(a^{3} b^{6} c + 2 \, a^{4} b^{5} f\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)}^{2} - 9 \, {\left(a^{3} b^{2} c + 2 \, a^{4} b f\right)} g^{2} + \frac{1}{2} \, {\left(a^{3} b^{4} e^{2} - 8 \, a^{4} b^{3} e h + 16 \, a^{5} b^{2} h^{2} - 6 \, {\left(a^{3} b^{4} c + 2 \, a^{4} b^{3} f\right)} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} + 8 \, {\left(a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + 4 \, a^{4} b f^{2} - 3 \, a^{4} b e g\right)} h - {\left(b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}\right)} x\right) - 12 \, {\left(a b e - 4 \, a^{2} h\right)} x + {\left(18 \, a b g x^{3} + 18 \, a^{2} g + {\left(a b^{3} x^{3} + a^{2} b^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{3} + a^{2} b^{2}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)}^{2} a^{2} b^{4} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} a^{2} b^{2} g + 16 \, b^{2} c e + 32 \, a b e f + 36 \, a^{2} g^{2} - 64 \, {\left(a b c + 2 \, a^{2} f\right)} h}{a^{2} b^{4}}}\right)} \log\left(2 \, a b^{4} c^{2} e + 8 \, a^{2} b^{3} c e f + 8 \, a^{3} b^{2} e f^{2} - 3 \, a^{3} b^{2} e^{2} g - 48 \, a^{5} g h^{2} + \frac{1}{4} \, {\left(a^{3} b^{6} c + 2 \, a^{4} b^{5} f\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)}^{2} + 9 \, {\left(a^{3} b^{2} c + 2 \, a^{4} b f\right)} g^{2} - \frac{1}{2} \, {\left(a^{3} b^{4} e^{2} - 8 \, a^{4} b^{3} e h + 16 \, a^{5} b^{2} h^{2} - 6 \, {\left(a^{3} b^{4} c + 2 \, a^{4} b^{3} f\right)} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} - 8 \, {\left(a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + 4 \, a^{4} b f^{2} - 3 \, a^{4} b e g\right)} h - 2 \, {\left(b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a^{3} b^{4} e^{2} - 16 \, a^{4} b^{3} e h + 32 \, a^{5} b^{2} h^{2} + {\left(a^{3} b^{6} c + 2 \, a^{4} b^{5} f\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} + 6 \, {\left(a^{3} b^{4} c + 2 \, a^{4} b^{3} f\right)} g\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)}^{2} a^{2} b^{4} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} a^{2} b^{2} g + 16 \, b^{2} c e + 32 \, a b e f + 36 \, a^{2} g^{2} - 64 \, {\left(a b c + 2 \, a^{2} f\right)} h}{a^{2} b^{4}}}\right) + {\left(18 \, a b g x^{3} + 18 \, a^{2} g + {\left(a b^{3} x^{3} + a^{2} b^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{3} + a^{2} b^{2}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)}^{2} a^{2} b^{4} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} a^{2} b^{2} g + 16 \, b^{2} c e + 32 \, a b e f + 36 \, a^{2} g^{2} - 64 \, {\left(a b c + 2 \, a^{2} f\right)} h}{a^{2} b^{4}}}\right)} \log\left(2 \, a b^{4} c^{2} e + 8 \, a^{2} b^{3} c e f + 8 \, a^{3} b^{2} e f^{2} - 3 \, a^{3} b^{2} e^{2} g - 48 \, a^{5} g h^{2} + \frac{1}{4} \, {\left(a^{3} b^{6} c + 2 \, a^{4} b^{5} f\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)}^{2} + 9 \, {\left(a^{3} b^{2} c + 2 \, a^{4} b f\right)} g^{2} - \frac{1}{2} \, {\left(a^{3} b^{4} e^{2} - 8 \, a^{4} b^{3} e h + 16 \, a^{5} b^{2} h^{2} - 6 \, {\left(a^{3} b^{4} c + 2 \, a^{4} b^{3} f\right)} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} - 8 \, {\left(a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + 4 \, a^{4} b f^{2} - 3 \, a^{4} b e g\right)} h - 2 \, {\left(b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a^{3} b^{4} e^{2} - 16 \, a^{4} b^{3} e h + 32 \, a^{5} b^{2} h^{2} + {\left(a^{3} b^{6} c + 2 \, a^{4} b^{5} f\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} + 6 \, {\left(a^{3} b^{4} c + 2 \, a^{4} b^{3} f\right)} g\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)}^{2} a^{2} b^{4} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, g^{2}}{b^{4}} - \frac{b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b}{a^{2} b^{4}}\right)}}{{\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, g^{3}}{b^{6}} - \frac{9 \, {\left(b^{2} c e + {\left(9 \, g^{2} - 8 \, f h\right)} a^{2} + 2 \, {\left(e f - 2 \, c h\right)} a b\right)} g}{a^{2} b^{6}} - \frac{b^{5} c^{3} + a^{2} b^{3} e^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h + 48 \, a^{4} b e h^{2} - 64 \, a^{5} h^{3}}{a^{4} b^{7}} - \frac{b^{5} c^{3} + 6 \, a b^{4} c^{2} f + 64 \, a^{5} h^{3} - 3 \, {\left(9 \, g^{3} - 24 \, f g h + 16 \, e h^{2}\right)} a^{4} b + 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, e^{2} h + 18 \, c g h\right)} a^{3} b^{2} - {\left(e^{3} - 3 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{7}}\right)}^{\frac{1}{3}} - \frac{6 \, g}{b^{2}}\right)} a^{2} b^{2} g + 16 \, b^{2} c e + 32 \, a b e f + 36 \, a^{2} g^{2} - 64 \, {\left(a b c + 2 \, a^{2} f\right)} h}{a^{2} b^{4}}}\right)}{36 \, {\left(a b^{3} x^{3} + a^{2} b^{2}\right)}}"," ",0,"1/36*(36*a*b*h*x^4 - 12*a*b*d + 12*a^2*g + 12*(b^2*c - a*b*f)*x^2 - 2*(a*b^3*x^3 + a^2*b^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)*log(-2*a*b^4*c^2*e - 8*a^2*b^3*c*e*f - 8*a^3*b^2*e*f^2 + 3*a^3*b^2*e^2*g + 48*a^5*g*h^2 - 1/4*(a^3*b^6*c + 2*a^4*b^5*f)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)^2 - 9*(a^3*b^2*c + 2*a^4*b*f)*g^2 + 1/2*(a^3*b^4*e^2 - 8*a^4*b^3*e*h + 16*a^5*b^2*h^2 - 6*(a^3*b^4*c + 2*a^4*b^3*f)*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2) + 8*(a^2*b^3*c^2 + 4*a^3*b^2*c*f + 4*a^4*b*f^2 - 3*a^4*b*e*g)*h - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)*x) - 12*(a*b*e - 4*a^2*h)*x + (18*a*b*g*x^3 + 18*a^2*g + (a*b^3*x^3 + a^2*b^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2) - 3*sqrt(1/3)*(a*b^3*x^3 + a^2*b^2)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)^2*a^2*b^4 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)*a^2*b^2*g + 16*b^2*c*e + 32*a*b*e*f + 36*a^2*g^2 - 64*(a*b*c + 2*a^2*f)*h)/(a^2*b^4)))*log(2*a*b^4*c^2*e + 8*a^2*b^3*c*e*f + 8*a^3*b^2*e*f^2 - 3*a^3*b^2*e^2*g - 48*a^5*g*h^2 + 1/4*(a^3*b^6*c + 2*a^4*b^5*f)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)^2 + 9*(a^3*b^2*c + 2*a^4*b*f)*g^2 - 1/2*(a^3*b^4*e^2 - 8*a^4*b^3*e*h + 16*a^5*b^2*h^2 - 6*(a^3*b^4*c + 2*a^4*b^3*f)*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2) - 8*(a^2*b^3*c^2 + 4*a^3*b^2*c*f + 4*a^4*b*f^2 - 3*a^4*b*e*g)*h - 2*(b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)*x + 3/4*sqrt(1/3)*(2*a^3*b^4*e^2 - 16*a^4*b^3*e*h + 32*a^5*b^2*h^2 + (a^3*b^6*c + 2*a^4*b^5*f)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2) + 6*(a^3*b^4*c + 2*a^4*b^3*f)*g)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)^2*a^2*b^4 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)*a^2*b^2*g + 16*b^2*c*e + 32*a*b*e*f + 36*a^2*g^2 - 64*(a*b*c + 2*a^2*f)*h)/(a^2*b^4))) + (18*a*b*g*x^3 + 18*a^2*g + (a*b^3*x^3 + a^2*b^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2) + 3*sqrt(1/3)*(a*b^3*x^3 + a^2*b^2)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)^2*a^2*b^4 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)*a^2*b^2*g + 16*b^2*c*e + 32*a*b*e*f + 36*a^2*g^2 - 64*(a*b*c + 2*a^2*f)*h)/(a^2*b^4)))*log(2*a*b^4*c^2*e + 8*a^2*b^3*c*e*f + 8*a^3*b^2*e*f^2 - 3*a^3*b^2*e^2*g - 48*a^5*g*h^2 + 1/4*(a^3*b^6*c + 2*a^4*b^5*f)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)^2 + 9*(a^3*b^2*c + 2*a^4*b*f)*g^2 - 1/2*(a^3*b^4*e^2 - 8*a^4*b^3*e*h + 16*a^5*b^2*h^2 - 6*(a^3*b^4*c + 2*a^4*b^3*f)*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2) - 8*(a^2*b^3*c^2 + 4*a^3*b^2*c*f + 4*a^4*b*f^2 - 3*a^4*b*e*g)*h - 2*(b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)*x - 3/4*sqrt(1/3)*(2*a^3*b^4*e^2 - 16*a^4*b^3*e*h + 32*a^5*b^2*h^2 + (a^3*b^6*c + 2*a^4*b^5*f)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2) + 6*(a^3*b^4*c + 2*a^4*b^3*f)*g)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)^2*a^2*b^4 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*g^2/b^4 - (b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)/(a^2*b^4))/(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*g^3/b^6 - 9*(b^2*c*e + (9*g^2 - 8*f*h)*a^2 + 2*(e*f - 2*c*h)*a*b)*g/(a^2*b^6) - (b^5*c^3 + a^2*b^3*e^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 - 12*a^3*b^2*e^2*h + 48*a^4*b*e*h^2 - 64*a^5*h^3)/(a^4*b^7) - (b^5*c^3 + 6*a*b^4*c^2*f + 64*a^5*h^3 - 3*(9*g^3 - 24*f*g*h + 16*e*h^2)*a^4*b + 2*(4*f^3 - 9*e*f*g + 6*e^2*h + 18*c*g*h)*a^3*b^2 - (e^3 - 3*(4*f^2 - 3*e*g)*c)*a^2*b^3)/(a^4*b^7))^(1/3) - 6*g/b^2)*a^2*b^2*g + 16*b^2*c*e + 32*a*b*e*f + 36*a^2*g^2 - 64*(a*b*c + 2*a^2*f)*h)/(a^2*b^4))))/(a*b^3*x^3 + a^2*b^2)","C",0
416,1,12636,0,1.869416," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{12 \, a b e - 12 \, a^{2} h - 12 \, {\left(b^{2} d - a b g\right)} x^{2} + 2 \, {\left(a b^{3} x^{3} + a^{2} b^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} \log\left(4 \, a b^{4} c d^{2} + 2 \, a^{2} b^{3} d^{2} f + \frac{1}{4} \, {\left(a^{4} b^{5} d + 2 \, a^{5} b^{4} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)}^{2} + 8 \, {\left(2 \, a^{3} b^{2} c + a^{4} b f\right)} g^{2} + 9 \, {\left(a^{4} b d + 2 \, a^{5} g\right)} h^{2} - \frac{1}{2} \, {\left(4 \, a^{2} b^{5} c^{2} + 4 \, a^{3} b^{4} c f + a^{4} b^{3} f^{2} - 6 \, {\left(a^{4} b^{3} d + 2 \, a^{5} b^{2} g\right)} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} + 8 \, {\left(2 \, a^{2} b^{3} c d + a^{3} b^{2} d f\right)} g - 3 \, {\left(4 \, a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + a^{4} b f^{2}\right)} h + {\left(8 \, b^{5} c^{3} + a b^{4} d^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{2} b^{3} d^{2} g + 12 \, a^{3} b^{2} d g^{2} + 8 \, a^{4} b g^{3}\right)} x\right) - 12 \, {\left(b^{2} c - a b f\right)} x - {\left(18 \, a b h x^{3} + 18 \, a^{2} h + {\left(a b^{3} x^{3} + a^{2} b^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{3} + a^{2} b^{2}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)}^{2} a^{3} b^{4} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} a^{3} b^{2} h + 32 \, b^{3} c d + 16 \, a b^{2} d f + 36 \, a^{3} h^{2} + 32 \, {\left(2 \, a b^{2} c + a^{2} b f\right)} g}{a^{3} b^{4}}}\right)} \log\left(-4 \, a b^{4} c d^{2} - 2 \, a^{2} b^{3} d^{2} f - \frac{1}{4} \, {\left(a^{4} b^{5} d + 2 \, a^{5} b^{4} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)}^{2} - 8 \, {\left(2 \, a^{3} b^{2} c + a^{4} b f\right)} g^{2} - 9 \, {\left(a^{4} b d + 2 \, a^{5} g\right)} h^{2} + \frac{1}{2} \, {\left(4 \, a^{2} b^{5} c^{2} + 4 \, a^{3} b^{4} c f + a^{4} b^{3} f^{2} - 6 \, {\left(a^{4} b^{3} d + 2 \, a^{5} b^{2} g\right)} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} - 8 \, {\left(2 \, a^{2} b^{3} c d + a^{3} b^{2} d f\right)} g + 3 \, {\left(4 \, a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + a^{4} b f^{2}\right)} h + 2 \, {\left(8 \, b^{5} c^{3} + a b^{4} d^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{2} b^{3} d^{2} g + 12 \, a^{3} b^{2} d g^{2} + 8 \, a^{4} b g^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(8 \, a^{2} b^{5} c^{2} + 8 \, a^{3} b^{4} c f + 2 \, a^{4} b^{3} f^{2} + {\left(a^{4} b^{5} d + 2 \, a^{5} b^{4} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} + 6 \, {\left(a^{4} b^{3} d + 2 \, a^{5} b^{2} g\right)} h\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)}^{2} a^{3} b^{4} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} a^{3} b^{2} h + 32 \, b^{3} c d + 16 \, a b^{2} d f + 36 \, a^{3} h^{2} + 32 \, {\left(2 \, a b^{2} c + a^{2} b f\right)} g}{a^{3} b^{4}}}\right) - {\left(18 \, a b h x^{3} + 18 \, a^{2} h + {\left(a b^{3} x^{3} + a^{2} b^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{3} + a^{2} b^{2}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)}^{2} a^{3} b^{4} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} a^{3} b^{2} h + 32 \, b^{3} c d + 16 \, a b^{2} d f + 36 \, a^{3} h^{2} + 32 \, {\left(2 \, a b^{2} c + a^{2} b f\right)} g}{a^{3} b^{4}}}\right)} \log\left(-4 \, a b^{4} c d^{2} - 2 \, a^{2} b^{3} d^{2} f - \frac{1}{4} \, {\left(a^{4} b^{5} d + 2 \, a^{5} b^{4} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)}^{2} - 8 \, {\left(2 \, a^{3} b^{2} c + a^{4} b f\right)} g^{2} - 9 \, {\left(a^{4} b d + 2 \, a^{5} g\right)} h^{2} + \frac{1}{2} \, {\left(4 \, a^{2} b^{5} c^{2} + 4 \, a^{3} b^{4} c f + a^{4} b^{3} f^{2} - 6 \, {\left(a^{4} b^{3} d + 2 \, a^{5} b^{2} g\right)} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} - 8 \, {\left(2 \, a^{2} b^{3} c d + a^{3} b^{2} d f\right)} g + 3 \, {\left(4 \, a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + a^{4} b f^{2}\right)} h + 2 \, {\left(8 \, b^{5} c^{3} + a b^{4} d^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{2} b^{3} d^{2} g + 12 \, a^{3} b^{2} d g^{2} + 8 \, a^{4} b g^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(8 \, a^{2} b^{5} c^{2} + 8 \, a^{3} b^{4} c f + 2 \, a^{4} b^{3} f^{2} + {\left(a^{4} b^{5} d + 2 \, a^{5} b^{4} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} + 6 \, {\left(a^{4} b^{3} d + 2 \, a^{5} b^{2} g\right)} h\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)}^{2} a^{3} b^{4} + 12 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, h^{2}}{b^{4}} - \frac{2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}}{a^{3} b^{4}}\right)}}{{\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{54 \, h^{3}}{b^{6}} - \frac{9 \, {\left(2 \, b^{3} c d + 2 \, a^{2} b f g + 9 \, a^{3} h^{2} + {\left(d f + 4 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{6}} + \frac{8 \, b^{4} c^{3} + a b^{3} d^{3} + 12 \, a b^{3} c^{2} f + 6 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 6 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} + 8 \, a^{4} g^{3}}{a^{5} b^{5}} + \frac{8 \, b^{5} c^{3} + 27 \, a^{5} h^{3} - 2 \, {\left(4 \, g^{3} - 9 \, f g h\right)} a^{4} b + {\left(f^{3} + 36 \, c g h - 3 \, {\left(4 \, g^{2} - 3 \, f h\right)} d\right)} a^{3} b^{2} - 6 \, {\left(d^{2} g - {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 12 \, c^{2} f\right)} a b^{4}}{a^{5} b^{6}}\right)}^{\frac{1}{3}} - \frac{6 \, h}{b^{2}}\right)} a^{3} b^{2} h + 32 \, b^{3} c d + 16 \, a b^{2} d f + 36 \, a^{3} h^{2} + 32 \, {\left(2 \, a b^{2} c + a^{2} b f\right)} g}{a^{3} b^{4}}}\right)}{36 \, {\left(a b^{3} x^{3} + a^{2} b^{2}\right)}}"," ",0,"-1/36*(12*a*b*e - 12*a^2*h - 12*(b^2*d - a*b*g)*x^2 + 2*(a*b^3*x^3 + a^2*b^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)*log(4*a*b^4*c*d^2 + 2*a^2*b^3*d^2*f + 1/4*(a^4*b^5*d + 2*a^5*b^4*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)^2 + 8*(2*a^3*b^2*c + a^4*b*f)*g^2 + 9*(a^4*b*d + 2*a^5*g)*h^2 - 1/2*(4*a^2*b^5*c^2 + 4*a^3*b^4*c*f + a^4*b^3*f^2 - 6*(a^4*b^3*d + 2*a^5*b^2*g)*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2) + 8*(2*a^2*b^3*c*d + a^3*b^2*d*f)*g - 3*(4*a^2*b^3*c^2 + 4*a^3*b^2*c*f + a^4*b*f^2)*h + (8*b^5*c^3 + a*b^4*d^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^2*b^3*d^2*g + 12*a^3*b^2*d*g^2 + 8*a^4*b*g^3)*x) - 12*(b^2*c - a*b*f)*x - (18*a*b*h*x^3 + 18*a^2*h + (a*b^3*x^3 + a^2*b^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2) + 3*sqrt(1/3)*(a*b^3*x^3 + a^2*b^2)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)^2*a^3*b^4 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)*a^3*b^2*h + 32*b^3*c*d + 16*a*b^2*d*f + 36*a^3*h^2 + 32*(2*a*b^2*c + a^2*b*f)*g)/(a^3*b^4)))*log(-4*a*b^4*c*d^2 - 2*a^2*b^3*d^2*f - 1/4*(a^4*b^5*d + 2*a^5*b^4*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)^2 - 8*(2*a^3*b^2*c + a^4*b*f)*g^2 - 9*(a^4*b*d + 2*a^5*g)*h^2 + 1/2*(4*a^2*b^5*c^2 + 4*a^3*b^4*c*f + a^4*b^3*f^2 - 6*(a^4*b^3*d + 2*a^5*b^2*g)*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2) - 8*(2*a^2*b^3*c*d + a^3*b^2*d*f)*g + 3*(4*a^2*b^3*c^2 + 4*a^3*b^2*c*f + a^4*b*f^2)*h + 2*(8*b^5*c^3 + a*b^4*d^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^2*b^3*d^2*g + 12*a^3*b^2*d*g^2 + 8*a^4*b*g^3)*x + 3/4*sqrt(1/3)*(8*a^2*b^5*c^2 + 8*a^3*b^4*c*f + 2*a^4*b^3*f^2 + (a^4*b^5*d + 2*a^5*b^4*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2) + 6*(a^4*b^3*d + 2*a^5*b^2*g)*h)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)^2*a^3*b^4 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)*a^3*b^2*h + 32*b^3*c*d + 16*a*b^2*d*f + 36*a^3*h^2 + 32*(2*a*b^2*c + a^2*b*f)*g)/(a^3*b^4))) - (18*a*b*h*x^3 + 18*a^2*h + (a*b^3*x^3 + a^2*b^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2) - 3*sqrt(1/3)*(a*b^3*x^3 + a^2*b^2)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)^2*a^3*b^4 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)*a^3*b^2*h + 32*b^3*c*d + 16*a*b^2*d*f + 36*a^3*h^2 + 32*(2*a*b^2*c + a^2*b*f)*g)/(a^3*b^4)))*log(-4*a*b^4*c*d^2 - 2*a^2*b^3*d^2*f - 1/4*(a^4*b^5*d + 2*a^5*b^4*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)^2 - 8*(2*a^3*b^2*c + a^4*b*f)*g^2 - 9*(a^4*b*d + 2*a^5*g)*h^2 + 1/2*(4*a^2*b^5*c^2 + 4*a^3*b^4*c*f + a^4*b^3*f^2 - 6*(a^4*b^3*d + 2*a^5*b^2*g)*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2) - 8*(2*a^2*b^3*c*d + a^3*b^2*d*f)*g + 3*(4*a^2*b^3*c^2 + 4*a^3*b^2*c*f + a^4*b*f^2)*h + 2*(8*b^5*c^3 + a*b^4*d^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^2*b^3*d^2*g + 12*a^3*b^2*d*g^2 + 8*a^4*b*g^3)*x - 3/4*sqrt(1/3)*(8*a^2*b^5*c^2 + 8*a^3*b^4*c*f + 2*a^4*b^3*f^2 + (a^4*b^5*d + 2*a^5*b^4*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2) + 6*(a^4*b^3*d + 2*a^5*b^2*g)*h)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)^2*a^3*b^4 + 12*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(9*h^2/b^4 - (2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)/(a^3*b^4))/(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(54*h^3/b^6 - 9*(2*b^3*c*d + 2*a^2*b*f*g + 9*a^3*h^2 + (d*f + 4*c*g)*a*b^2)*h/(a^3*b^6) + (8*b^4*c^3 + a*b^3*d^3 + 12*a*b^3*c^2*f + 6*a^2*b^2*c*f^2 + a^3*b*f^3 + 6*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 + 8*a^4*g^3)/(a^5*b^5) + (8*b^5*c^3 + 27*a^5*h^3 - 2*(4*g^3 - 9*f*g*h)*a^4*b + (f^3 + 36*c*g*h - 3*(4*g^2 - 3*f*h)*d)*a^3*b^2 - 6*(d^2*g - (f^2 + 3*d*h)*c)*a^2*b^3 - (d^3 - 12*c^2*f)*a*b^4)/(a^5*b^6))^(1/3) - 6*h/b^2)*a^3*b^2*h + 32*b^3*c*d + 16*a*b^2*d*f + 36*a^3*h^2 + 32*(2*a*b^2*c + a^2*b*f)*g)/(a^3*b^4))))/(a*b^3*x^3 + a^2*b^2)","C",0
417,1,12541,0,35.287112," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x/(b*x^3+a)^2,x, algorithm=""fricas"")","\frac{108 \, a b c - 108 \, a^{2} f + 108 \, {\left(a b e - a^{2} h\right)} x^{2} - 2 \, {\left(a^{2} b^{2} x^{3} + a^{3} b\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} \log\left(12 \, b^{4} c d^{2} + 9 \, b^{4} c^{2} e + 4 \, a b^{3} d e^{2} + 3 \, a^{2} b^{2} c g^{2} + \frac{1}{324} \, {\left(a^{4} b^{4} e + 2 \, a^{5} b^{3} h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} + 8 \, {\left(2 \, a^{3} b d + a^{4} g\right)} h^{2} - \frac{1}{18} \, {\left(4 \, a^{2} b^{4} d^{2} + 6 \, a^{2} b^{4} c e + 4 \, a^{3} b^{3} d g + a^{4} b^{2} g^{2} + 12 \, a^{3} b^{3} c h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} + 2 \, {\left(6 \, a b^{3} c d + a^{2} b^{2} e^{2}\right)} g + 2 \, {\left(9 \, a b^{3} c^{2} + 8 \, a^{2} b^{2} d e + 4 \, a^{3} b e g\right)} h + {\left(8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}\right)} x\right) + 108 \, {\left(a b d - a^{2} g\right)} x - {\left(162 \, b^{2} c x^{3} + 162 \, a b c - {\left(a^{2} b^{2} x^{3} + a^{3} b\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{2} x^{3} + a^{3} b\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b^{3} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} a^{2} b^{3} c + 2916 \, b^{3} c^{2} + 2592 \, a b^{2} d e + 1296 \, a^{2} b e g + 2592 \, {\left(2 \, a^{2} b d + a^{3} g\right)} h}{a^{4} b^{3}}}\right)} \log\left(-12 \, b^{4} c d^{2} - 9 \, b^{4} c^{2} e - 4 \, a b^{3} d e^{2} - 3 \, a^{2} b^{2} c g^{2} - \frac{1}{324} \, {\left(a^{4} b^{4} e + 2 \, a^{5} b^{3} h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} - 8 \, {\left(2 \, a^{3} b d + a^{4} g\right)} h^{2} + \frac{1}{18} \, {\left(4 \, a^{2} b^{4} d^{2} + 6 \, a^{2} b^{4} c e + 4 \, a^{3} b^{3} d g + a^{4} b^{2} g^{2} + 12 \, a^{3} b^{3} c h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} - 2 \, {\left(6 \, a b^{3} c d + a^{2} b^{2} e^{2}\right)} g - 2 \, {\left(9 \, a b^{3} c^{2} + 8 \, a^{2} b^{2} d e + 4 \, a^{3} b e g\right)} h + 2 \, {\left(8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}\right)} x + \frac{1}{108} \, \sqrt{\frac{1}{3}} {\left(72 \, a^{2} b^{4} d^{2} - 54 \, a^{2} b^{4} c e + 72 \, a^{3} b^{3} d g + 18 \, a^{4} b^{2} g^{2} - 108 \, a^{3} b^{3} c h + {\left(a^{4} b^{4} e + 2 \, a^{5} b^{3} h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b^{3} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} a^{2} b^{3} c + 2916 \, b^{3} c^{2} + 2592 \, a b^{2} d e + 1296 \, a^{2} b e g + 2592 \, {\left(2 \, a^{2} b d + a^{3} g\right)} h}{a^{4} b^{3}}}\right) - {\left(162 \, b^{2} c x^{3} + 162 \, a b c - {\left(a^{2} b^{2} x^{3} + a^{3} b\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{2} x^{3} + a^{3} b\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b^{3} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} a^{2} b^{3} c + 2916 \, b^{3} c^{2} + 2592 \, a b^{2} d e + 1296 \, a^{2} b e g + 2592 \, {\left(2 \, a^{2} b d + a^{3} g\right)} h}{a^{4} b^{3}}}\right)} \log\left(-12 \, b^{4} c d^{2} - 9 \, b^{4} c^{2} e - 4 \, a b^{3} d e^{2} - 3 \, a^{2} b^{2} c g^{2} - \frac{1}{324} \, {\left(a^{4} b^{4} e + 2 \, a^{5} b^{3} h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} - 8 \, {\left(2 \, a^{3} b d + a^{4} g\right)} h^{2} + \frac{1}{18} \, {\left(4 \, a^{2} b^{4} d^{2} + 6 \, a^{2} b^{4} c e + 4 \, a^{3} b^{3} d g + a^{4} b^{2} g^{2} + 12 \, a^{3} b^{3} c h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} - 2 \, {\left(6 \, a b^{3} c d + a^{2} b^{2} e^{2}\right)} g - 2 \, {\left(9 \, a b^{3} c^{2} + 8 \, a^{2} b^{2} d e + 4 \, a^{3} b e g\right)} h + 2 \, {\left(8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}\right)} x - \frac{1}{108} \, \sqrt{\frac{1}{3}} {\left(72 \, a^{2} b^{4} d^{2} - 54 \, a^{2} b^{4} c e + 72 \, a^{3} b^{3} d g + 18 \, a^{4} b^{2} g^{2} - 108 \, a^{3} b^{3} c h + {\left(a^{4} b^{4} e + 2 \, a^{5} b^{3} h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)}^{2} a^{4} b^{3} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, c^{2}}{a^{4}} - \frac{9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b}{a^{4} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{6}} + \frac{{\left(9 \, b^{3} c^{2} + 2 \, a b^{2} d e + 2 \, a^{3} g h + {\left(e g + 4 \, d h\right)} a^{2} b\right)} c}{162 \, a^{6} b^{3}} + \frac{8 \, b^{4} d^{3} + a b^{3} e^{3} + 12 \, a b^{3} d^{2} g + 6 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 6 \, a^{2} b^{2} e^{2} h + 12 \, a^{3} b e h^{2} + 8 \, a^{4} h^{3}}{1458 \, a^{5} b^{5}} - \frac{27 \, b^{5} c^{3} + 8 \, a^{5} h^{3} - {\left(g^{3} - 12 \, e h^{2}\right)} a^{4} b - 6 \, {\left(d g^{2} - e^{2} h - 3 \, c g h\right)} a^{3} b^{2} + {\left(e^{3} - 12 \, d^{2} g + 9 \, {\left(e g + 4 \, d h\right)} c\right)} a^{2} b^{3} - 2 \, {\left(4 \, d^{3} - 9 \, c d e\right)} a b^{4}}{1458 \, a^{6} b^{5}}\right)}^{\frac{1}{3}} + \frac{54 \, c}{a^{2}}\right)} a^{2} b^{3} c + 2916 \, b^{3} c^{2} + 2592 \, a b^{2} d e + 1296 \, a^{2} b e g + 2592 \, {\left(2 \, a^{2} b d + a^{3} g\right)} h}{a^{4} b^{3}}}\right) + 324 \, {\left(b^{2} c x^{3} + a b c\right)} \log\left(x\right)}{324 \, {\left(a^{2} b^{2} x^{3} + a^{3} b\right)}}"," ",0,"1/324*(108*a*b*c - 108*a^2*f + 108*(a*b*e - a^2*h)*x^2 - 2*(a^2*b^2*x^3 + a^3*b)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)*log(12*b^4*c*d^2 + 9*b^4*c^2*e + 4*a*b^3*d*e^2 + 3*a^2*b^2*c*g^2 + 1/324*(a^4*b^4*e + 2*a^5*b^3*h)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)^2 + 8*(2*a^3*b*d + a^4*g)*h^2 - 1/18*(4*a^2*b^4*d^2 + 6*a^2*b^4*c*e + 4*a^3*b^3*d*g + a^4*b^2*g^2 + 12*a^3*b^3*c*h)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2) + 2*(6*a*b^3*c*d + a^2*b^2*e^2)*g + 2*(9*a*b^3*c^2 + 8*a^2*b^2*d*e + 4*a^3*b*e*g)*h + (8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)*x) + 108*(a*b*d - a^2*g)*x - (162*b^2*c*x^3 + 162*a*b*c - (a^2*b^2*x^3 + a^3*b)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2) - 3*sqrt(1/3)*(a^2*b^2*x^3 + a^3*b)*sqrt(-(((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)^2*a^4*b^3 - 108*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)*a^2*b^3*c + 2916*b^3*c^2 + 2592*a*b^2*d*e + 1296*a^2*b*e*g + 2592*(2*a^2*b*d + a^3*g)*h)/(a^4*b^3)))*log(-12*b^4*c*d^2 - 9*b^4*c^2*e - 4*a*b^3*d*e^2 - 3*a^2*b^2*c*g^2 - 1/324*(a^4*b^4*e + 2*a^5*b^3*h)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)^2 - 8*(2*a^3*b*d + a^4*g)*h^2 + 1/18*(4*a^2*b^4*d^2 + 6*a^2*b^4*c*e + 4*a^3*b^3*d*g + a^4*b^2*g^2 + 12*a^3*b^3*c*h)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2) - 2*(6*a*b^3*c*d + a^2*b^2*e^2)*g - 2*(9*a*b^3*c^2 + 8*a^2*b^2*d*e + 4*a^3*b*e*g)*h + 2*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)*x + 1/108*sqrt(1/3)*(72*a^2*b^4*d^2 - 54*a^2*b^4*c*e + 72*a^3*b^3*d*g + 18*a^4*b^2*g^2 - 108*a^3*b^3*c*h + (a^4*b^4*e + 2*a^5*b^3*h)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2))*sqrt(-(((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)^2*a^4*b^3 - 108*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)*a^2*b^3*c + 2916*b^3*c^2 + 2592*a*b^2*d*e + 1296*a^2*b*e*g + 2592*(2*a^2*b*d + a^3*g)*h)/(a^4*b^3))) - (162*b^2*c*x^3 + 162*a*b*c - (a^2*b^2*x^3 + a^3*b)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2) + 3*sqrt(1/3)*(a^2*b^2*x^3 + a^3*b)*sqrt(-(((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)^2*a^4*b^3 - 108*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)*a^2*b^3*c + 2916*b^3*c^2 + 2592*a*b^2*d*e + 1296*a^2*b*e*g + 2592*(2*a^2*b*d + a^3*g)*h)/(a^4*b^3)))*log(-12*b^4*c*d^2 - 9*b^4*c^2*e - 4*a*b^3*d*e^2 - 3*a^2*b^2*c*g^2 - 1/324*(a^4*b^4*e + 2*a^5*b^3*h)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)^2 - 8*(2*a^3*b*d + a^4*g)*h^2 + 1/18*(4*a^2*b^4*d^2 + 6*a^2*b^4*c*e + 4*a^3*b^3*d*g + a^4*b^2*g^2 + 12*a^3*b^3*c*h)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2) - 2*(6*a*b^3*c*d + a^2*b^2*e^2)*g - 2*(9*a*b^3*c^2 + 8*a^2*b^2*d*e + 4*a^3*b*e*g)*h + 2*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)*x - 1/108*sqrt(1/3)*(72*a^2*b^4*d^2 - 54*a^2*b^4*c*e + 72*a^3*b^3*d*g + 18*a^4*b^2*g^2 - 108*a^3*b^3*c*h + (a^4*b^4*e + 2*a^5*b^3*h)*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2))*sqrt(-(((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)^2*a^4*b^3 - 108*((-I*sqrt(3) + 1)*(9*c^2/a^4 - (9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)/(a^4*b^3))/(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*c^3/a^6 + 1/162*(9*b^3*c^2 + 2*a*b^2*d*e + 2*a^3*g*h + (e*g + 4*d*h)*a^2*b)*c/(a^6*b^3) + 1/1458*(8*b^4*d^3 + a*b^3*e^3 + 12*a*b^3*d^2*g + 6*a^2*b^2*d*g^2 + a^3*b*g^3 + 6*a^2*b^2*e^2*h + 12*a^3*b*e*h^2 + 8*a^4*h^3)/(a^5*b^5) - 1/1458*(27*b^5*c^3 + 8*a^5*h^3 - (g^3 - 12*e*h^2)*a^4*b - 6*(d*g^2 - e^2*h - 3*c*g*h)*a^3*b^2 + (e^3 - 12*d^2*g + 9*(e*g + 4*d*h)*c)*a^2*b^3 - 2*(4*d^3 - 9*c*d*e)*a*b^4)/(a^6*b^5))^(1/3) + 54*c/a^2)*a^2*b^3*c + 2916*b^3*c^2 + 2592*a*b^2*d*e + 1296*a^2*b*e*g + 2592*(2*a^2*b*d + a^3*g)*h)/(a^4*b^3))) + 324*(b^2*c*x^3 + a*b*c)*log(x))/(a^2*b^2*x^3 + a^3*b)","C",0
418,1,12556,0,35.587898," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^2/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{108 \, {\left(4 \, b^{2} c - a b f\right)} x^{3} + 324 \, a b c - 108 \, {\left(a b e - a^{2} h\right)} x^{2} + 2 \, {\left(a^{2} b^{2} x^{4} + a^{3} b x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} \log\left(-36 \, a b^{4} c d^{2} + 64 \, a b^{4} c^{2} e + 12 \, a^{2} b^{3} d e^{2} + 4 \, a^{3} b^{2} e f^{2} + 3 \, a^{4} b d h^{2} - \frac{1}{324} \, {\left(4 \, a^{5} b^{4} c - a^{6} b^{3} f\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} + \frac{1}{18} \, {\left(24 \, a^{3} b^{4} c d - 4 \, a^{4} b^{3} e^{2} - 6 \, a^{4} b^{3} d f - 4 \, a^{5} b^{2} e h - a^{6} b h^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} + {\left(9 \, a^{2} b^{3} d^{2} - 32 \, a^{2} b^{3} c e\right)} f + 2 \, {\left(16 \, a^{2} b^{3} c^{2} + 6 \, a^{3} b^{2} d e - 8 \, a^{3} b^{2} c f + a^{4} b f^{2}\right)} h - {\left(64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}\right)} x\right) - 108 \, {\left(a b d - a^{2} g\right)} x + {\left(162 \, b^{2} d x^{4} + 162 \, a b d x - {\left(a^{2} b^{2} x^{4} + a^{3} b x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{2} x^{4} + a^{3} b x\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{4} b^{2} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} a^{2} b^{2} d + 2916 \, b^{2} d^{2} - 10368 \, b^{2} c e + 2592 \, a b e f - 1296 \, {\left(4 \, a b c - a^{2} f\right)} h}{a^{4} b^{2}}}\right)} \log\left(36 \, a b^{4} c d^{2} - 64 \, a b^{4} c^{2} e - 12 \, a^{2} b^{3} d e^{2} - 4 \, a^{3} b^{2} e f^{2} - 3 \, a^{4} b d h^{2} + \frac{1}{324} \, {\left(4 \, a^{5} b^{4} c - a^{6} b^{3} f\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} - \frac{1}{18} \, {\left(24 \, a^{3} b^{4} c d - 4 \, a^{4} b^{3} e^{2} - 6 \, a^{4} b^{3} d f - 4 \, a^{5} b^{2} e h - a^{6} b h^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} - {\left(9 \, a^{2} b^{3} d^{2} - 32 \, a^{2} b^{3} c e\right)} f - 2 \, {\left(16 \, a^{2} b^{3} c^{2} + 6 \, a^{3} b^{2} d e - 8 \, a^{3} b^{2} c f + a^{4} b f^{2}\right)} h - 2 \, {\left(64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}\right)} x + \frac{1}{108} \, \sqrt{\frac{1}{3}} {\left(216 \, a^{3} b^{4} c d + 72 \, a^{4} b^{3} e^{2} - 54 \, a^{4} b^{3} d f + 72 \, a^{5} b^{2} e h + 18 \, a^{6} b h^{2} - {\left(4 \, a^{5} b^{4} c - a^{6} b^{3} f\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{4} b^{2} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} a^{2} b^{2} d + 2916 \, b^{2} d^{2} - 10368 \, b^{2} c e + 2592 \, a b e f - 1296 \, {\left(4 \, a b c - a^{2} f\right)} h}{a^{4} b^{2}}}\right) + {\left(162 \, b^{2} d x^{4} + 162 \, a b d x - {\left(a^{2} b^{2} x^{4} + a^{3} b x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{2} x^{4} + a^{3} b x\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{4} b^{2} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} a^{2} b^{2} d + 2916 \, b^{2} d^{2} - 10368 \, b^{2} c e + 2592 \, a b e f - 1296 \, {\left(4 \, a b c - a^{2} f\right)} h}{a^{4} b^{2}}}\right)} \log\left(36 \, a b^{4} c d^{2} - 64 \, a b^{4} c^{2} e - 12 \, a^{2} b^{3} d e^{2} - 4 \, a^{3} b^{2} e f^{2} - 3 \, a^{4} b d h^{2} + \frac{1}{324} \, {\left(4 \, a^{5} b^{4} c - a^{6} b^{3} f\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} - \frac{1}{18} \, {\left(24 \, a^{3} b^{4} c d - 4 \, a^{4} b^{3} e^{2} - 6 \, a^{4} b^{3} d f - 4 \, a^{5} b^{2} e h - a^{6} b h^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} - {\left(9 \, a^{2} b^{3} d^{2} - 32 \, a^{2} b^{3} c e\right)} f - 2 \, {\left(16 \, a^{2} b^{3} c^{2} + 6 \, a^{3} b^{2} d e - 8 \, a^{3} b^{2} c f + a^{4} b f^{2}\right)} h - 2 \, {\left(64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}\right)} x - \frac{1}{108} \, \sqrt{\frac{1}{3}} {\left(216 \, a^{3} b^{4} c d + 72 \, a^{4} b^{3} e^{2} - 54 \, a^{4} b^{3} d f + 72 \, a^{5} b^{2} e h + 18 \, a^{6} b h^{2} - {\left(4 \, a^{5} b^{4} c - a^{6} b^{3} f\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)}^{2} a^{4} b^{2} - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, d^{2}}{a^{4}} - \frac{a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}}{a^{4} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{6}} + \frac{{\left(a^{2} f h + 2 \, {\left(e f - 2 \, c h\right)} a b + {\left(9 \, d^{2} - 8 \, c e\right)} b^{2}\right)} d}{162 \, a^{6} b^{2}} - \frac{64 \, b^{5} c^{3} - 8 \, a^{2} b^{3} e^{3} - 48 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} - a^{3} b^{2} f^{3} - 12 \, a^{3} b^{2} e^{2} h - 6 \, a^{4} b e h^{2} - a^{5} h^{3}}{1458 \, a^{7} b^{4}} + \frac{64 \, b^{5} c^{3} + 6 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(f^{3} - 12 \, e^{2} h + 9 \, d f h\right)} a^{3} b^{2} + 2 \, {\left(4 \, e^{3} - 9 \, d e f + 6 \, {\left(f^{2} + 3 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(9 \, d^{3} - 24 \, c d e + 16 \, c^{2} f\right)} a b^{4}}{1458 \, a^{7} b^{4}}\right)}^{\frac{1}{3}} + \frac{54 \, d}{a^{2}}\right)} a^{2} b^{2} d + 2916 \, b^{2} d^{2} - 10368 \, b^{2} c e + 2592 \, a b e f - 1296 \, {\left(4 \, a b c - a^{2} f\right)} h}{a^{4} b^{2}}}\right) - 324 \, {\left(b^{2} d x^{4} + a b d x\right)} \log\left(x\right)}{324 \, {\left(a^{2} b^{2} x^{4} + a^{3} b x\right)}}"," ",0,"-1/324*(108*(4*b^2*c - a*b*f)*x^3 + 324*a*b*c - 108*(a*b*e - a^2*h)*x^2 + 2*(a^2*b^2*x^4 + a^3*b*x)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)*log(-36*a*b^4*c*d^2 + 64*a*b^4*c^2*e + 12*a^2*b^3*d*e^2 + 4*a^3*b^2*e*f^2 + 3*a^4*b*d*h^2 - 1/324*(4*a^5*b^4*c - a^6*b^3*f)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)^2 + 1/18*(24*a^3*b^4*c*d - 4*a^4*b^3*e^2 - 6*a^4*b^3*d*f - 4*a^5*b^2*e*h - a^6*b*h^2)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2) + (9*a^2*b^3*d^2 - 32*a^2*b^3*c*e)*f + 2*(16*a^2*b^3*c^2 + 6*a^3*b^2*d*e - 8*a^3*b^2*c*f + a^4*b*f^2)*h - (64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)*x) - 108*(a*b*d - a^2*g)*x + (162*b^2*d*x^4 + 162*a*b*d*x - (a^2*b^2*x^4 + a^3*b*x)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2) - 3*sqrt(1/3)*(a^2*b^2*x^4 + a^3*b*x)*sqrt(-(((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)^2*a^4*b^2 - 108*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)*a^2*b^2*d + 2916*b^2*d^2 - 10368*b^2*c*e + 2592*a*b*e*f - 1296*(4*a*b*c - a^2*f)*h)/(a^4*b^2)))*log(36*a*b^4*c*d^2 - 64*a*b^4*c^2*e - 12*a^2*b^3*d*e^2 - 4*a^3*b^2*e*f^2 - 3*a^4*b*d*h^2 + 1/324*(4*a^5*b^4*c - a^6*b^3*f)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)^2 - 1/18*(24*a^3*b^4*c*d - 4*a^4*b^3*e^2 - 6*a^4*b^3*d*f - 4*a^5*b^2*e*h - a^6*b*h^2)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2) - (9*a^2*b^3*d^2 - 32*a^2*b^3*c*e)*f - 2*(16*a^2*b^3*c^2 + 6*a^3*b^2*d*e - 8*a^3*b^2*c*f + a^4*b*f^2)*h - 2*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)*x + 1/108*sqrt(1/3)*(216*a^3*b^4*c*d + 72*a^4*b^3*e^2 - 54*a^4*b^3*d*f + 72*a^5*b^2*e*h + 18*a^6*b*h^2 - (4*a^5*b^4*c - a^6*b^3*f)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2))*sqrt(-(((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)^2*a^4*b^2 - 108*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)*a^2*b^2*d + 2916*b^2*d^2 - 10368*b^2*c*e + 2592*a*b*e*f - 1296*(4*a*b*c - a^2*f)*h)/(a^4*b^2))) + (162*b^2*d*x^4 + 162*a*b*d*x - (a^2*b^2*x^4 + a^3*b*x)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2) + 3*sqrt(1/3)*(a^2*b^2*x^4 + a^3*b*x)*sqrt(-(((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)^2*a^4*b^2 - 108*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)*a^2*b^2*d + 2916*b^2*d^2 - 10368*b^2*c*e + 2592*a*b*e*f - 1296*(4*a*b*c - a^2*f)*h)/(a^4*b^2)))*log(36*a*b^4*c*d^2 - 64*a*b^4*c^2*e - 12*a^2*b^3*d*e^2 - 4*a^3*b^2*e*f^2 - 3*a^4*b*d*h^2 + 1/324*(4*a^5*b^4*c - a^6*b^3*f)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)^2 - 1/18*(24*a^3*b^4*c*d - 4*a^4*b^3*e^2 - 6*a^4*b^3*d*f - 4*a^5*b^2*e*h - a^6*b*h^2)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2) - (9*a^2*b^3*d^2 - 32*a^2*b^3*c*e)*f - 2*(16*a^2*b^3*c^2 + 6*a^3*b^2*d*e - 8*a^3*b^2*c*f + a^4*b*f^2)*h - 2*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)*x - 1/108*sqrt(1/3)*(216*a^3*b^4*c*d + 72*a^4*b^3*e^2 - 54*a^4*b^3*d*f + 72*a^5*b^2*e*h + 18*a^6*b*h^2 - (4*a^5*b^4*c - a^6*b^3*f)*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2))*sqrt(-(((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)^2*a^4*b^2 - 108*((-I*sqrt(3) + 1)*(9*d^2/a^4 - (a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)/(a^4*b^2))/(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*d^3/a^6 + 1/162*(a^2*f*h + 2*(e*f - 2*c*h)*a*b + (9*d^2 - 8*c*e)*b^2)*d/(a^6*b^2) - 1/1458*(64*b^5*c^3 - 8*a^2*b^3*e^3 - 48*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 - a^3*b^2*f^3 - 12*a^3*b^2*e^2*h - 6*a^4*b*e*h^2 - a^5*h^3)/(a^7*b^4) + 1/1458*(64*b^5*c^3 + 6*a^4*b*e*h^2 + a^5*h^3 - (f^3 - 12*e^2*h + 9*d*f*h)*a^3*b^2 + 2*(4*e^3 - 9*d*e*f + 6*(f^2 + 3*d*h)*c)*a^2*b^3 - 3*(9*d^3 - 24*c*d*e + 16*c^2*f)*a*b^4)/(a^7*b^4))^(1/3) + 54*d/a^2)*a^2*b^2*d + 2916*b^2*d^2 - 10368*b^2*c*e + 2592*a*b*e*f - 1296*(4*a*b*c - a^2*f)*h)/(a^4*b^2))) - 324*(b^2*d*x^4 + a*b*d*x)*log(x))/(a^2*b^2*x^4 + a^3*b*x)","C",0
419,1,12231,0,24.670404," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^3/(b*x^3+a)^2,x, algorithm=""fricas"")","-\frac{108 \, {\left(4 \, b^{2} d - a b g\right)} x^{4} + 324 \, a b d x + 54 \, {\left(5 \, b^{2} c - 2 \, a b f\right)} x^{3} + 162 \, a b c - 108 \, {\left(a b e - a^{2} h\right)} x^{2} + 2 \, {\left(a^{2} b^{2} x^{5} + a^{3} b x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} \log\left(-160 \, a b^{3} c d^{2} + 75 \, a b^{3} c^{2} e - 36 \, a^{2} b^{2} d e^{2} + 12 \, a^{3} b e f^{2} - \frac{1}{324} \, {\left(4 \, a^{6} b^{2} d - a^{7} b g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} - 2 \, {\left(5 \, a^{3} b c - 2 \, a^{4} f\right)} g^{2} - \frac{1}{18} \, {\left(25 \, a^{3} b^{3} c^{2} - 24 \, a^{4} b^{2} d e - 20 \, a^{4} b^{2} c f + 4 \, a^{5} b f^{2} + 6 \, a^{5} b e g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} + 4 \, {\left(16 \, a^{2} b^{2} d^{2} - 15 \, a^{2} b^{2} c e\right)} f + {\left(80 \, a^{2} b^{2} c d + 9 \, a^{3} b e^{2} - 32 \, a^{3} b d f\right)} g - {\left(125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}\right)} x\right) + {\left(162 \, b^{2} e x^{5} + 162 \, a b e x^{2} - {\left(a^{2} b^{2} x^{5} + a^{3} b x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{2} x^{5} + a^{3} b x^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{5} b - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} a^{3} b e + 25920 \, b^{2} c d + 2916 \, a b e^{2} - 10368 \, a b d f - 1296 \, {\left(5 \, a b c - 2 \, a^{2} f\right)} g}{a^{5} b}}\right)} \log\left(160 \, a b^{3} c d^{2} - 75 \, a b^{3} c^{2} e + 36 \, a^{2} b^{2} d e^{2} - 12 \, a^{3} b e f^{2} + \frac{1}{324} \, {\left(4 \, a^{6} b^{2} d - a^{7} b g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} + 2 \, {\left(5 \, a^{3} b c - 2 \, a^{4} f\right)} g^{2} + \frac{1}{18} \, {\left(25 \, a^{3} b^{3} c^{2} - 24 \, a^{4} b^{2} d e - 20 \, a^{4} b^{2} c f + 4 \, a^{5} b f^{2} + 6 \, a^{5} b e g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} - 4 \, {\left(16 \, a^{2} b^{2} d^{2} - 15 \, a^{2} b^{2} c e\right)} f - {\left(80 \, a^{2} b^{2} c d + 9 \, a^{3} b e^{2} - 32 \, a^{3} b d f\right)} g - 2 \, {\left(125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}\right)} x + \frac{1}{108} \, \sqrt{\frac{1}{3}} {\left(450 \, a^{3} b^{3} c^{2} + 216 \, a^{4} b^{2} d e - 360 \, a^{4} b^{2} c f + 72 \, a^{5} b f^{2} - 54 \, a^{5} b e g - {\left(4 \, a^{6} b^{2} d - a^{7} b g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{5} b - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} a^{3} b e + 25920 \, b^{2} c d + 2916 \, a b e^{2} - 10368 \, a b d f - 1296 \, {\left(5 \, a b c - 2 \, a^{2} f\right)} g}{a^{5} b}}\right) + {\left(162 \, b^{2} e x^{5} + 162 \, a b e x^{2} - {\left(a^{2} b^{2} x^{5} + a^{3} b x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{2} x^{5} + a^{3} b x^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{5} b - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} a^{3} b e + 25920 \, b^{2} c d + 2916 \, a b e^{2} - 10368 \, a b d f - 1296 \, {\left(5 \, a b c - 2 \, a^{2} f\right)} g}{a^{5} b}}\right)} \log\left(160 \, a b^{3} c d^{2} - 75 \, a b^{3} c^{2} e + 36 \, a^{2} b^{2} d e^{2} - 12 \, a^{3} b e f^{2} + \frac{1}{324} \, {\left(4 \, a^{6} b^{2} d - a^{7} b g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} + 2 \, {\left(5 \, a^{3} b c - 2 \, a^{4} f\right)} g^{2} + \frac{1}{18} \, {\left(25 \, a^{3} b^{3} c^{2} - 24 \, a^{4} b^{2} d e - 20 \, a^{4} b^{2} c f + 4 \, a^{5} b f^{2} + 6 \, a^{5} b e g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} - 4 \, {\left(16 \, a^{2} b^{2} d^{2} - 15 \, a^{2} b^{2} c e\right)} f - {\left(80 \, a^{2} b^{2} c d + 9 \, a^{3} b e^{2} - 32 \, a^{3} b d f\right)} g - 2 \, {\left(125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}\right)} x - \frac{1}{108} \, \sqrt{\frac{1}{3}} {\left(450 \, a^{3} b^{3} c^{2} + 216 \, a^{4} b^{2} d e - 360 \, a^{4} b^{2} c f + 72 \, a^{5} b f^{2} - 54 \, a^{5} b e g - {\left(4 \, a^{6} b^{2} d - a^{7} b g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)}^{2} a^{5} b - 108 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{9 \, e^{2}}{a^{4}} - \frac{20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b}{a^{5} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}}} + 81 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{6}} + \frac{{\left(20 \, b^{2} c d + 2 \, a^{2} f g + {\left(9 \, e^{2} - 8 \, d f - 5 \, c g\right)} a b\right)} e}{162 \, a^{7} b} - \frac{125 \, b^{4} c^{3} + 64 \, a b^{3} d^{3} - 150 \, a b^{3} c^{2} f + 60 \, a^{2} b^{2} c f^{2} - 8 \, a^{3} b f^{3} - 48 \, a^{2} b^{2} d^{2} g + 12 \, a^{3} b d g^{2} - a^{4} g^{3}}{1458 \, a^{8} b^{2}} - \frac{125 \, b^{4} c^{3} + a^{4} g^{3} - 2 \, {\left(4 \, f^{3} - 9 \, e f g + 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(9 \, e^{3} - 24 \, d e f + 16 \, d^{2} g + 5 \, {\left(4 \, f^{2} - 3 \, e g\right)} c\right)} a^{2} b^{2} - 2 \, {\left(32 \, d^{3} - 90 \, c d e + 75 \, c^{2} f\right)} a b^{3}}{1458 \, a^{8} b^{2}}\right)}^{\frac{1}{3}} + \frac{54 \, e}{a^{2}}\right)} a^{3} b e + 25920 \, b^{2} c d + 2916 \, a b e^{2} - 10368 \, a b d f - 1296 \, {\left(5 \, a b c - 2 \, a^{2} f\right)} g}{a^{5} b}}\right) - 324 \, {\left(b^{2} e x^{5} + a b e x^{2}\right)} \log\left(x\right)}{324 \, {\left(a^{2} b^{2} x^{5} + a^{3} b x^{2}\right)}}"," ",0,"-1/324*(108*(4*b^2*d - a*b*g)*x^4 + 324*a*b*d*x + 54*(5*b^2*c - 2*a*b*f)*x^3 + 162*a*b*c - 108*(a*b*e - a^2*h)*x^2 + 2*(a^2*b^2*x^5 + a^3*b*x^2)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)*log(-160*a*b^3*c*d^2 + 75*a*b^3*c^2*e - 36*a^2*b^2*d*e^2 + 12*a^3*b*e*f^2 - 1/324*(4*a^6*b^2*d - a^7*b*g)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)^2 - 2*(5*a^3*b*c - 2*a^4*f)*g^2 - 1/18*(25*a^3*b^3*c^2 - 24*a^4*b^2*d*e - 20*a^4*b^2*c*f + 4*a^5*b*f^2 + 6*a^5*b*e*g)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2) + 4*(16*a^2*b^2*d^2 - 15*a^2*b^2*c*e)*f + (80*a^2*b^2*c*d + 9*a^3*b*e^2 - 32*a^3*b*d*f)*g - (125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)*x) + (162*b^2*e*x^5 + 162*a*b*e*x^2 - (a^2*b^2*x^5 + a^3*b*x^2)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2) - 3*sqrt(1/3)*(a^2*b^2*x^5 + a^3*b*x^2)*sqrt(-(((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)^2*a^5*b - 108*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)*a^3*b*e + 25920*b^2*c*d + 2916*a*b*e^2 - 10368*a*b*d*f - 1296*(5*a*b*c - 2*a^2*f)*g)/(a^5*b)))*log(160*a*b^3*c*d^2 - 75*a*b^3*c^2*e + 36*a^2*b^2*d*e^2 - 12*a^3*b*e*f^2 + 1/324*(4*a^6*b^2*d - a^7*b*g)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)^2 + 2*(5*a^3*b*c - 2*a^4*f)*g^2 + 1/18*(25*a^3*b^3*c^2 - 24*a^4*b^2*d*e - 20*a^4*b^2*c*f + 4*a^5*b*f^2 + 6*a^5*b*e*g)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2) - 4*(16*a^2*b^2*d^2 - 15*a^2*b^2*c*e)*f - (80*a^2*b^2*c*d + 9*a^3*b*e^2 - 32*a^3*b*d*f)*g - 2*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)*x + 1/108*sqrt(1/3)*(450*a^3*b^3*c^2 + 216*a^4*b^2*d*e - 360*a^4*b^2*c*f + 72*a^5*b*f^2 - 54*a^5*b*e*g - (4*a^6*b^2*d - a^7*b*g)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2))*sqrt(-(((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)^2*a^5*b - 108*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)*a^3*b*e + 25920*b^2*c*d + 2916*a*b*e^2 - 10368*a*b*d*f - 1296*(5*a*b*c - 2*a^2*f)*g)/(a^5*b))) + (162*b^2*e*x^5 + 162*a*b*e*x^2 - (a^2*b^2*x^5 + a^3*b*x^2)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2) + 3*sqrt(1/3)*(a^2*b^2*x^5 + a^3*b*x^2)*sqrt(-(((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)^2*a^5*b - 108*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)*a^3*b*e + 25920*b^2*c*d + 2916*a*b*e^2 - 10368*a*b*d*f - 1296*(5*a*b*c - 2*a^2*f)*g)/(a^5*b)))*log(160*a*b^3*c*d^2 - 75*a*b^3*c^2*e + 36*a^2*b^2*d*e^2 - 12*a^3*b*e*f^2 + 1/324*(4*a^6*b^2*d - a^7*b*g)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)^2 + 2*(5*a^3*b*c - 2*a^4*f)*g^2 + 1/18*(25*a^3*b^3*c^2 - 24*a^4*b^2*d*e - 20*a^4*b^2*c*f + 4*a^5*b*f^2 + 6*a^5*b*e*g)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2) - 4*(16*a^2*b^2*d^2 - 15*a^2*b^2*c*e)*f - (80*a^2*b^2*c*d + 9*a^3*b*e^2 - 32*a^3*b*d*f)*g - 2*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)*x - 1/108*sqrt(1/3)*(450*a^3*b^3*c^2 + 216*a^4*b^2*d*e - 360*a^4*b^2*c*f + 72*a^5*b*f^2 - 54*a^5*b*e*g - (4*a^6*b^2*d - a^7*b*g)*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2))*sqrt(-(((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)^2*a^5*b - 108*((-I*sqrt(3) + 1)*(9*e^2/a^4 - (20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)/(a^5*b))/(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 81*(I*sqrt(3) + 1)*(-1/27*e^3/a^6 + 1/162*(20*b^2*c*d + 2*a^2*f*g + (9*e^2 - 8*d*f - 5*c*g)*a*b)*e/(a^7*b) - 1/1458*(125*b^4*c^3 + 64*a*b^3*d^3 - 150*a*b^3*c^2*f + 60*a^2*b^2*c*f^2 - 8*a^3*b*f^3 - 48*a^2*b^2*d^2*g + 12*a^3*b*d*g^2 - a^4*g^3)/(a^8*b^2) - 1/1458*(125*b^4*c^3 + a^4*g^3 - 2*(4*f^3 - 9*e*f*g + 6*d*g^2)*a^3*b + 3*(9*e^3 - 24*d*e*f + 16*d^2*g + 5*(4*f^2 - 3*e*g)*c)*a^2*b^2 - 2*(32*d^3 - 90*c*d*e + 75*c^2*f)*a*b^3)/(a^8*b^2))^(1/3) + 54*e/a^2)*a^3*b*e + 25920*b^2*c*d + 2916*a*b*e^2 - 10368*a*b*d*f - 1296*(5*a*b*c - 2*a^2*f)*g)/(a^5*b))) - 324*(b^2*e*x^5 + a*b*e*x^2)*log(x))/(a^2*b^2*x^5 + a^3*b*x^2)","C",0
420,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^4/(b*x^3+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
421,1,12967,0,2.692967," ","integrate(x^4*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{108 \, a b^{2} h x^{7} + 12 \, {\left(b^{3} c - 4 \, a b^{2} f\right)} x^{5} - 42 \, {\left(a b^{2} e - 7 \, a^{2} b h\right)} x^{4} - 18 \, a^{2} b d + 54 \, a^{3} g - 36 \, {\left(a b^{2} d - 2 \, a^{2} b g\right)} x^{3} - 6 \, {\left(a b^{2} c + 5 \, a^{2} b f\right)} x^{2} - 2 \, {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} \log\left(-4 \, a b^{4} c^{2} e - 40 \, a^{2} b^{3} c e f - 100 \, a^{3} b^{2} e f^{2} + 36 \, a^{3} b^{2} e^{2} g + 1764 \, a^{5} g h^{2} - \frac{1}{4} \, {\left(a^{3} b^{8} c + 5 \, a^{4} b^{7} f\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)}^{2} - 81 \, {\left(a^{3} b^{2} c + 5 \, a^{4} b f\right)} g^{2} + {\left(2 \, a^{3} b^{5} e^{2} - 28 \, a^{4} b^{4} e h + 98 \, a^{5} b^{3} h^{2} - 9 \, {\left(a^{3} b^{5} c + 5 \, a^{4} b^{4} f\right)} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} + 28 \, {\left(a^{2} b^{3} c^{2} + 10 \, a^{3} b^{2} c f + 25 \, a^{4} b f^{2} - 18 \, a^{4} b e g\right)} h - {\left(b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}\right)} x\right) - 24 \, {\left(a^{2} b e - 7 \, a^{3} h\right)} x + {\left(54 \, a b^{2} g x^{6} + 108 \, a^{2} b g x^{3} + 54 \, a^{3} g + {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)}^{2} a^{2} b^{6} + 36 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} a^{2} b^{3} g + 32 \, b^{2} c e + 160 \, a b e f + 324 \, a^{2} g^{2} - 224 \, {\left(a b c + 5 \, a^{2} f\right)} h}{a^{2} b^{6}}}\right)} \log\left(4 \, a b^{4} c^{2} e + 40 \, a^{2} b^{3} c e f + 100 \, a^{3} b^{2} e f^{2} - 36 \, a^{3} b^{2} e^{2} g - 1764 \, a^{5} g h^{2} + \frac{1}{4} \, {\left(a^{3} b^{8} c + 5 \, a^{4} b^{7} f\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)}^{2} + 81 \, {\left(a^{3} b^{2} c + 5 \, a^{4} b f\right)} g^{2} - {\left(2 \, a^{3} b^{5} e^{2} - 28 \, a^{4} b^{4} e h + 98 \, a^{5} b^{3} h^{2} - 9 \, {\left(a^{3} b^{5} c + 5 \, a^{4} b^{4} f\right)} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} - 28 \, {\left(a^{2} b^{3} c^{2} + 10 \, a^{3} b^{2} c f + 25 \, a^{4} b f^{2} - 18 \, a^{4} b e g\right)} h - 2 \, {\left(b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(8 \, a^{3} b^{5} e^{2} - 112 \, a^{4} b^{4} e h + 392 \, a^{5} b^{3} h^{2} + {\left(a^{3} b^{8} c + 5 \, a^{4} b^{7} f\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} + 18 \, {\left(a^{3} b^{5} c + 5 \, a^{4} b^{4} f\right)} g\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)}^{2} a^{2} b^{6} + 36 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} a^{2} b^{3} g + 32 \, b^{2} c e + 160 \, a b e f + 324 \, a^{2} g^{2} - 224 \, {\left(a b c + 5 \, a^{2} f\right)} h}{a^{2} b^{6}}}\right) + {\left(54 \, a b^{2} g x^{6} + 108 \, a^{2} b g x^{3} + 54 \, a^{3} g + {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)}^{2} a^{2} b^{6} + 36 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} a^{2} b^{3} g + 32 \, b^{2} c e + 160 \, a b e f + 324 \, a^{2} g^{2} - 224 \, {\left(a b c + 5 \, a^{2} f\right)} h}{a^{2} b^{6}}}\right)} \log\left(4 \, a b^{4} c^{2} e + 40 \, a^{2} b^{3} c e f + 100 \, a^{3} b^{2} e f^{2} - 36 \, a^{3} b^{2} e^{2} g - 1764 \, a^{5} g h^{2} + \frac{1}{4} \, {\left(a^{3} b^{8} c + 5 \, a^{4} b^{7} f\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)}^{2} + 81 \, {\left(a^{3} b^{2} c + 5 \, a^{4} b f\right)} g^{2} - {\left(2 \, a^{3} b^{5} e^{2} - 28 \, a^{4} b^{4} e h + 98 \, a^{5} b^{3} h^{2} - 9 \, {\left(a^{3} b^{5} c + 5 \, a^{4} b^{4} f\right)} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} - 28 \, {\left(a^{2} b^{3} c^{2} + 10 \, a^{3} b^{2} c f + 25 \, a^{4} b f^{2} - 18 \, a^{4} b e g\right)} h - 2 \, {\left(b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(8 \, a^{3} b^{5} e^{2} - 112 \, a^{4} b^{4} e h + 392 \, a^{5} b^{3} h^{2} + {\left(a^{3} b^{8} c + 5 \, a^{4} b^{7} f\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} + 18 \, {\left(a^{3} b^{5} c + 5 \, a^{4} b^{4} f\right)} g\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)}^{2} a^{2} b^{6} + 36 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, g^{2}}{b^{6}} - \frac{2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b}{a^{2} b^{6}}\right)}}{{\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, g^{3}}{b^{9}} - \frac{27 \, {\left(2 \, b^{2} c e + {\left(81 \, g^{2} - 70 \, f h\right)} a^{2} + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b\right)} g}{a^{2} b^{9}} - \frac{b^{5} c^{3} + 8 \, a^{2} b^{3} e^{3} + 15 \, a b^{4} c^{2} f + 75 \, a^{2} b^{3} c f^{2} + 125 \, a^{3} b^{2} f^{3} - 168 \, a^{3} b^{2} e^{2} h + 1176 \, a^{4} b e h^{2} - 2744 \, a^{5} h^{3}}{a^{4} b^{10}} - \frac{b^{5} c^{3} + 15 \, a b^{4} c^{2} f + 2744 \, a^{5} h^{3} - 3 \, {\left(243 \, g^{3} - 630 \, f g h + 392 \, e h^{2}\right)} a^{4} b + {\left(125 \, f^{3} - 270 \, e f g + 168 \, e^{2} h + 378 \, c g h\right)} a^{3} b^{2} - {\left(8 \, e^{3} - 3 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{3}}{a^{4} b^{10}}\right)}^{\frac{1}{3}} - \frac{18 \, g}{b^{3}}\right)} a^{2} b^{3} g + 32 \, b^{2} c e + 160 \, a b e f + 324 \, a^{2} g^{2} - 224 \, {\left(a b c + 5 \, a^{2} f\right)} h}{a^{2} b^{6}}}\right)}{108 \, {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)}}"," ",0,"1/108*(108*a*b^2*h*x^7 + 12*(b^3*c - 4*a*b^2*f)*x^5 - 42*(a*b^2*e - 7*a^2*b*h)*x^4 - 18*a^2*b*d + 54*a^3*g - 36*(a*b^2*d - 2*a^2*b*g)*x^3 - 6*(a*b^2*c + 5*a^2*b*f)*x^2 - 2*(a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)*log(-4*a*b^4*c^2*e - 40*a^2*b^3*c*e*f - 100*a^3*b^2*e*f^2 + 36*a^3*b^2*e^2*g + 1764*a^5*g*h^2 - 1/4*(a^3*b^8*c + 5*a^4*b^7*f)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)^2 - 81*(a^3*b^2*c + 5*a^4*b*f)*g^2 + (2*a^3*b^5*e^2 - 28*a^4*b^4*e*h + 98*a^5*b^3*h^2 - 9*(a^3*b^5*c + 5*a^4*b^4*f)*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3) + 28*(a^2*b^3*c^2 + 10*a^3*b^2*c*f + 25*a^4*b*f^2 - 18*a^4*b*e*g)*h - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)*x) - 24*(a^2*b*e - 7*a^3*h)*x + (54*a*b^2*g*x^6 + 108*a^2*b*g*x^3 + 54*a^3*g + (a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3) - 3*sqrt(1/3)*(a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)^2*a^2*b^6 + 36*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)*a^2*b^3*g + 32*b^2*c*e + 160*a*b*e*f + 324*a^2*g^2 - 224*(a*b*c + 5*a^2*f)*h)/(a^2*b^6)))*log(4*a*b^4*c^2*e + 40*a^2*b^3*c*e*f + 100*a^3*b^2*e*f^2 - 36*a^3*b^2*e^2*g - 1764*a^5*g*h^2 + 1/4*(a^3*b^8*c + 5*a^4*b^7*f)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)^2 + 81*(a^3*b^2*c + 5*a^4*b*f)*g^2 - (2*a^3*b^5*e^2 - 28*a^4*b^4*e*h + 98*a^5*b^3*h^2 - 9*(a^3*b^5*c + 5*a^4*b^4*f)*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3) - 28*(a^2*b^3*c^2 + 10*a^3*b^2*c*f + 25*a^4*b*f^2 - 18*a^4*b*e*g)*h - 2*(b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)*x + 3/4*sqrt(1/3)*(8*a^3*b^5*e^2 - 112*a^4*b^4*e*h + 392*a^5*b^3*h^2 + (a^3*b^8*c + 5*a^4*b^7*f)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3) + 18*(a^3*b^5*c + 5*a^4*b^4*f)*g)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)^2*a^2*b^6 + 36*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)*a^2*b^3*g + 32*b^2*c*e + 160*a*b*e*f + 324*a^2*g^2 - 224*(a*b*c + 5*a^2*f)*h)/(a^2*b^6))) + (54*a*b^2*g*x^6 + 108*a^2*b*g*x^3 + 54*a^3*g + (a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3) + 3*sqrt(1/3)*(a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)^2*a^2*b^6 + 36*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)*a^2*b^3*g + 32*b^2*c*e + 160*a*b*e*f + 324*a^2*g^2 - 224*(a*b*c + 5*a^2*f)*h)/(a^2*b^6)))*log(4*a*b^4*c^2*e + 40*a^2*b^3*c*e*f + 100*a^3*b^2*e*f^2 - 36*a^3*b^2*e^2*g - 1764*a^5*g*h^2 + 1/4*(a^3*b^8*c + 5*a^4*b^7*f)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)^2 + 81*(a^3*b^2*c + 5*a^4*b*f)*g^2 - (2*a^3*b^5*e^2 - 28*a^4*b^4*e*h + 98*a^5*b^3*h^2 - 9*(a^3*b^5*c + 5*a^4*b^4*f)*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3) - 28*(a^2*b^3*c^2 + 10*a^3*b^2*c*f + 25*a^4*b*f^2 - 18*a^4*b*e*g)*h - 2*(b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)*x - 3/4*sqrt(1/3)*(8*a^3*b^5*e^2 - 112*a^4*b^4*e*h + 392*a^5*b^3*h^2 + (a^3*b^8*c + 5*a^4*b^7*f)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3) + 18*(a^3*b^5*c + 5*a^4*b^4*f)*g)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)^2*a^2*b^6 + 36*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*g^2/b^6 - (2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)/(a^2*b^6))/(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*g^3/b^9 - 27*(2*b^2*c*e + (81*g^2 - 70*f*h)*a^2 + 2*(5*e*f - 7*c*h)*a*b)*g/(a^2*b^9) - (b^5*c^3 + 8*a^2*b^3*e^3 + 15*a*b^4*c^2*f + 75*a^2*b^3*c*f^2 + 125*a^3*b^2*f^3 - 168*a^3*b^2*e^2*h + 1176*a^4*b*e*h^2 - 2744*a^5*h^3)/(a^4*b^10) - (b^5*c^3 + 15*a*b^4*c^2*f + 2744*a^5*h^3 - 3*(243*g^3 - 630*f*g*h + 392*e*h^2)*a^4*b + (125*f^3 - 270*e*f*g + 168*e^2*h + 378*c*g*h)*a^3*b^2 - (8*e^3 - 3*(25*f^2 - 18*e*g)*c)*a^2*b^3)/(a^4*b^10))^(1/3) - 18*g/b^3)*a^2*b^3*g + 32*b^2*c*e + 160*a*b*e*f + 324*a^2*g^2 - 224*(a*b*c + 5*a^2*f)*h)/(a^2*b^6))))/(a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)","C",0
422,1,12939,0,2.467072," ","integrate(x^3*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{12 \, {\left(b^{3} d - 4 \, a b^{2} g\right)} x^{5} + 6 \, {\left(b^{3} c - 7 \, a b^{2} f\right)} x^{4} - 18 \, a^{2} b e + 54 \, a^{3} h - 36 \, {\left(a b^{2} e - 2 \, a^{2} b h\right)} x^{3} - 6 \, {\left(a b^{2} d + 5 \, a^{2} b g\right)} x^{2} - 2 \, {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} \log\left(2 \, a b^{4} c d^{2} + 4 \, a^{2} b^{3} d^{2} f + \frac{1}{4} \, {\left(a^{4} b^{7} d + 5 \, a^{5} b^{6} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)}^{2} + 50 \, {\left(a^{3} b^{2} c + 2 \, a^{4} b f\right)} g^{2} + 81 \, {\left(a^{4} b d + 5 \, a^{5} g\right)} h^{2} - \frac{1}{2} \, {\left(a^{2} b^{6} c^{2} + 4 \, a^{3} b^{5} c f + 4 \, a^{4} b^{4} f^{2} - 18 \, {\left(a^{4} b^{4} d + 5 \, a^{5} b^{3} g\right)} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} + 20 \, {\left(a^{2} b^{3} c d + 2 \, a^{3} b^{2} d f\right)} g - 9 \, {\left(a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + 4 \, a^{4} b f^{2}\right)} h + {\left(b^{5} c^{3} + a b^{4} d^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} + 15 \, a^{2} b^{3} d^{2} g + 75 \, a^{3} b^{2} d g^{2} + 125 \, a^{4} b g^{3}\right)} x\right) - 12 \, {\left(a b^{2} c + 2 \, a^{2} b f\right)} x + {\left(54 \, a b^{2} h x^{6} + 108 \, a^{2} b h x^{3} + 54 \, a^{3} h + {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)}^{2} a^{3} b^{6} + 36 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} a^{3} b^{3} h + 16 \, b^{3} c d + 32 \, a b^{2} d f + 324 \, a^{3} h^{2} + 80 \, {\left(a b^{2} c + 2 \, a^{2} b f\right)} g}{a^{3} b^{6}}}\right)} \log\left(-2 \, a b^{4} c d^{2} - 4 \, a^{2} b^{3} d^{2} f - \frac{1}{4} \, {\left(a^{4} b^{7} d + 5 \, a^{5} b^{6} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)}^{2} - 50 \, {\left(a^{3} b^{2} c + 2 \, a^{4} b f\right)} g^{2} - 81 \, {\left(a^{4} b d + 5 \, a^{5} g\right)} h^{2} + \frac{1}{2} \, {\left(a^{2} b^{6} c^{2} + 4 \, a^{3} b^{5} c f + 4 \, a^{4} b^{4} f^{2} - 18 \, {\left(a^{4} b^{4} d + 5 \, a^{5} b^{3} g\right)} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} - 20 \, {\left(a^{2} b^{3} c d + 2 \, a^{3} b^{2} d f\right)} g + 9 \, {\left(a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + 4 \, a^{4} b f^{2}\right)} h + 2 \, {\left(b^{5} c^{3} + a b^{4} d^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} + 15 \, a^{2} b^{3} d^{2} g + 75 \, a^{3} b^{2} d g^{2} + 125 \, a^{4} b g^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a^{2} b^{6} c^{2} + 8 \, a^{3} b^{5} c f + 8 \, a^{4} b^{4} f^{2} + {\left(a^{4} b^{7} d + 5 \, a^{5} b^{6} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} + 18 \, {\left(a^{4} b^{4} d + 5 \, a^{5} b^{3} g\right)} h\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)}^{2} a^{3} b^{6} + 36 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} a^{3} b^{3} h + 16 \, b^{3} c d + 32 \, a b^{2} d f + 324 \, a^{3} h^{2} + 80 \, {\left(a b^{2} c + 2 \, a^{2} b f\right)} g}{a^{3} b^{6}}}\right) + {\left(54 \, a b^{2} h x^{6} + 108 \, a^{2} b h x^{3} + 54 \, a^{3} h + {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)}^{2} a^{3} b^{6} + 36 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} a^{3} b^{3} h + 16 \, b^{3} c d + 32 \, a b^{2} d f + 324 \, a^{3} h^{2} + 80 \, {\left(a b^{2} c + 2 \, a^{2} b f\right)} g}{a^{3} b^{6}}}\right)} \log\left(-2 \, a b^{4} c d^{2} - 4 \, a^{2} b^{3} d^{2} f - \frac{1}{4} \, {\left(a^{4} b^{7} d + 5 \, a^{5} b^{6} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)}^{2} - 50 \, {\left(a^{3} b^{2} c + 2 \, a^{4} b f\right)} g^{2} - 81 \, {\left(a^{4} b d + 5 \, a^{5} g\right)} h^{2} + \frac{1}{2} \, {\left(a^{2} b^{6} c^{2} + 4 \, a^{3} b^{5} c f + 4 \, a^{4} b^{4} f^{2} - 18 \, {\left(a^{4} b^{4} d + 5 \, a^{5} b^{3} g\right)} h\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} - 20 \, {\left(a^{2} b^{3} c d + 2 \, a^{3} b^{2} d f\right)} g + 9 \, {\left(a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + 4 \, a^{4} b f^{2}\right)} h + 2 \, {\left(b^{5} c^{3} + a b^{4} d^{3} + 6 \, a b^{4} c^{2} f + 12 \, a^{2} b^{3} c f^{2} + 8 \, a^{3} b^{2} f^{3} + 15 \, a^{2} b^{3} d^{2} g + 75 \, a^{3} b^{2} d g^{2} + 125 \, a^{4} b g^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a^{2} b^{6} c^{2} + 8 \, a^{3} b^{5} c f + 8 \, a^{4} b^{4} f^{2} + {\left(a^{4} b^{7} d + 5 \, a^{5} b^{6} g\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} + 18 \, {\left(a^{4} b^{4} d + 5 \, a^{5} b^{3} g\right)} h\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)}^{2} a^{3} b^{6} + 36 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, h^{2}}{b^{6}} - \frac{b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}}{a^{3} b^{6}}\right)}}{{\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{1458 \, h^{3}}{b^{9}} - \frac{27 \, {\left(b^{3} c d + 10 \, a^{2} b f g + 81 \, a^{3} h^{2} + {\left(2 \, d f + 5 \, c g\right)} a b^{2}\right)} h}{a^{3} b^{9}} + \frac{b^{4} c^{3} + a b^{3} d^{3} + 6 \, a b^{3} c^{2} f + 12 \, a^{2} b^{2} c f^{2} + 8 \, a^{3} b f^{3} + 15 \, a^{2} b^{2} d^{2} g + 75 \, a^{3} b d g^{2} + 125 \, a^{4} g^{3}}{a^{5} b^{8}} + \frac{b^{5} c^{3} + 729 \, a^{5} h^{3} - 5 \, {\left(25 \, g^{3} - 54 \, f g h\right)} a^{4} b + {\left(8 \, f^{3} + 135 \, c g h - 3 \, {\left(25 \, g^{2} - 18 \, f h\right)} d\right)} a^{3} b^{2} - 3 \, {\left(5 \, d^{2} g - {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - {\left(d^{3} - 6 \, c^{2} f\right)} a b^{4}}{a^{5} b^{9}}\right)}^{\frac{1}{3}} - \frac{18 \, h}{b^{3}}\right)} a^{3} b^{3} h + 16 \, b^{3} c d + 32 \, a b^{2} d f + 324 \, a^{3} h^{2} + 80 \, {\left(a b^{2} c + 2 \, a^{2} b f\right)} g}{a^{3} b^{6}}}\right)}{108 \, {\left(a b^{5} x^{6} + 2 \, a^{2} b^{4} x^{3} + a^{3} b^{3}\right)}}"," ",0,"1/108*(12*(b^3*d - 4*a*b^2*g)*x^5 + 6*(b^3*c - 7*a*b^2*f)*x^4 - 18*a^2*b*e + 54*a^3*h - 36*(a*b^2*e - 2*a^2*b*h)*x^3 - 6*(a*b^2*d + 5*a^2*b*g)*x^2 - 2*(a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)*log(2*a*b^4*c*d^2 + 4*a^2*b^3*d^2*f + 1/4*(a^4*b^7*d + 5*a^5*b^6*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)^2 + 50*(a^3*b^2*c + 2*a^4*b*f)*g^2 + 81*(a^4*b*d + 5*a^5*g)*h^2 - 1/2*(a^2*b^6*c^2 + 4*a^3*b^5*c*f + 4*a^4*b^4*f^2 - 18*(a^4*b^4*d + 5*a^5*b^3*g)*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3) + 20*(a^2*b^3*c*d + 2*a^3*b^2*d*f)*g - 9*(a^2*b^3*c^2 + 4*a^3*b^2*c*f + 4*a^4*b*f^2)*h + (b^5*c^3 + a*b^4*d^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 + 15*a^2*b^3*d^2*g + 75*a^3*b^2*d*g^2 + 125*a^4*b*g^3)*x) - 12*(a*b^2*c + 2*a^2*b*f)*x + (54*a*b^2*h*x^6 + 108*a^2*b*h*x^3 + 54*a^3*h + (a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3) + 3*sqrt(1/3)*(a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)^2*a^3*b^6 + 36*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)*a^3*b^3*h + 16*b^3*c*d + 32*a*b^2*d*f + 324*a^3*h^2 + 80*(a*b^2*c + 2*a^2*b*f)*g)/(a^3*b^6)))*log(-2*a*b^4*c*d^2 - 4*a^2*b^3*d^2*f - 1/4*(a^4*b^7*d + 5*a^5*b^6*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)^2 - 50*(a^3*b^2*c + 2*a^4*b*f)*g^2 - 81*(a^4*b*d + 5*a^5*g)*h^2 + 1/2*(a^2*b^6*c^2 + 4*a^3*b^5*c*f + 4*a^4*b^4*f^2 - 18*(a^4*b^4*d + 5*a^5*b^3*g)*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3) - 20*(a^2*b^3*c*d + 2*a^3*b^2*d*f)*g + 9*(a^2*b^3*c^2 + 4*a^3*b^2*c*f + 4*a^4*b*f^2)*h + 2*(b^5*c^3 + a*b^4*d^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 + 15*a^2*b^3*d^2*g + 75*a^3*b^2*d*g^2 + 125*a^4*b*g^3)*x + 3/4*sqrt(1/3)*(2*a^2*b^6*c^2 + 8*a^3*b^5*c*f + 8*a^4*b^4*f^2 + (a^4*b^7*d + 5*a^5*b^6*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3) + 18*(a^4*b^4*d + 5*a^5*b^3*g)*h)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)^2*a^3*b^6 + 36*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)*a^3*b^3*h + 16*b^3*c*d + 32*a*b^2*d*f + 324*a^3*h^2 + 80*(a*b^2*c + 2*a^2*b*f)*g)/(a^3*b^6))) + (54*a*b^2*h*x^6 + 108*a^2*b*h*x^3 + 54*a^3*h + (a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3) - 3*sqrt(1/3)*(a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)^2*a^3*b^6 + 36*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)*a^3*b^3*h + 16*b^3*c*d + 32*a*b^2*d*f + 324*a^3*h^2 + 80*(a*b^2*c + 2*a^2*b*f)*g)/(a^3*b^6)))*log(-2*a*b^4*c*d^2 - 4*a^2*b^3*d^2*f - 1/4*(a^4*b^7*d + 5*a^5*b^6*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)^2 - 50*(a^3*b^2*c + 2*a^4*b*f)*g^2 - 81*(a^4*b*d + 5*a^5*g)*h^2 + 1/2*(a^2*b^6*c^2 + 4*a^3*b^5*c*f + 4*a^4*b^4*f^2 - 18*(a^4*b^4*d + 5*a^5*b^3*g)*h)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3) - 20*(a^2*b^3*c*d + 2*a^3*b^2*d*f)*g + 9*(a^2*b^3*c^2 + 4*a^3*b^2*c*f + 4*a^4*b*f^2)*h + 2*(b^5*c^3 + a*b^4*d^3 + 6*a*b^4*c^2*f + 12*a^2*b^3*c*f^2 + 8*a^3*b^2*f^3 + 15*a^2*b^3*d^2*g + 75*a^3*b^2*d*g^2 + 125*a^4*b*g^3)*x - 3/4*sqrt(1/3)*(2*a^2*b^6*c^2 + 8*a^3*b^5*c*f + 8*a^4*b^4*f^2 + (a^4*b^7*d + 5*a^5*b^6*g)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3) + 18*(a^4*b^4*d + 5*a^5*b^3*g)*h)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)^2*a^3*b^6 + 36*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(81*h^2/b^6 - (b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)/(a^3*b^6))/(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*(1458*h^3/b^9 - 27*(b^3*c*d + 10*a^2*b*f*g + 81*a^3*h^2 + (2*d*f + 5*c*g)*a*b^2)*h/(a^3*b^9) + (b^4*c^3 + a*b^3*d^3 + 6*a*b^3*c^2*f + 12*a^2*b^2*c*f^2 + 8*a^3*b*f^3 + 15*a^2*b^2*d^2*g + 75*a^3*b*d*g^2 + 125*a^4*g^3)/(a^5*b^8) + (b^5*c^3 + 729*a^5*h^3 - 5*(25*g^3 - 54*f*g*h)*a^4*b + (8*f^3 + 135*c*g*h - 3*(25*g^2 - 18*f*h)*d)*a^3*b^2 - 3*(5*d^2*g - (4*f^2 + 9*d*h)*c)*a^2*b^3 - (d^3 - 6*c^2*f)*a*b^4)/(a^5*b^9))^(1/3) - 18*h/b^3)*a^3*b^3*h + 16*b^3*c*d + 32*a*b^2*d*f + 324*a^3*h^2 + 80*(a*b^2*c + 2*a^2*b*f)*g)/(a^3*b^6))))/(a*b^5*x^6 + 2*a^2*b^4*x^3 + a^3*b^3)","C",0
423,1,6926,0,1.935725," ","integrate(x^2*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","-\frac{36 \, a b f x^{3} - 12 \, {\left(b^{2} e - 4 \, a b h\right)} x^{5} - 6 \, {\left(b^{2} d - 7 \, a b g\right)} x^{4} + 18 \, a b c + 18 \, a^{2} f + 6 \, {\left(a b e + 5 \, a^{2} h\right)} x^{2} + 2 \, {\left(a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{3} + a^{3} b^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)} \log\left(2 \, a b^{3} d e^{2} + 4 \, a^{2} b^{2} e^{2} g + \frac{1}{4} \, {\left(a^{4} b^{6} e + 5 \, a^{5} b^{5} h\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)}^{2} + 50 \, {\left(a^{3} b d + 2 \, a^{4} g\right)} h^{2} - \frac{1}{2} \, {\left(a^{2} b^{5} d^{2} + 4 \, a^{3} b^{4} d g + 4 \, a^{4} b^{3} g^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)} + 20 \, {\left(a^{2} b^{2} d e + 2 \, a^{3} b e g\right)} h + {\left(b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}\right)} x\right) + 12 \, {\left(a b d + 2 \, a^{2} g\right)} x - {\left({\left(a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{3} + a^{3} b^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{3} + a^{3} b^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{5} + 16 \, b^{2} d e + 32 \, a b e g + 80 \, {\left(a b d + 2 \, a^{2} g\right)} h}{a^{3} b^{5}}}\right)} \log\left(-2 \, a b^{3} d e^{2} - 4 \, a^{2} b^{2} e^{2} g - \frac{1}{4} \, {\left(a^{4} b^{6} e + 5 \, a^{5} b^{5} h\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)}^{2} - 50 \, {\left(a^{3} b d + 2 \, a^{4} g\right)} h^{2} + \frac{1}{2} \, {\left(a^{2} b^{5} d^{2} + 4 \, a^{3} b^{4} d g + 4 \, a^{4} b^{3} g^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)} - 20 \, {\left(a^{2} b^{2} d e + 2 \, a^{3} b e g\right)} h + 2 \, {\left(b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a^{2} b^{5} d^{2} + 8 \, a^{3} b^{4} d g + 8 \, a^{4} b^{3} g^{2} + {\left(a^{4} b^{6} e + 5 \, a^{5} b^{5} h\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{5} + 16 \, b^{2} d e + 32 \, a b e g + 80 \, {\left(a b d + 2 \, a^{2} g\right)} h}{a^{3} b^{5}}}\right) - {\left({\left(a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{3} + a^{3} b^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{3} + a^{3} b^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{5} + 16 \, b^{2} d e + 32 \, a b e g + 80 \, {\left(a b d + 2 \, a^{2} g\right)} h}{a^{3} b^{5}}}\right)} \log\left(-2 \, a b^{3} d e^{2} - 4 \, a^{2} b^{2} e^{2} g - \frac{1}{4} \, {\left(a^{4} b^{6} e + 5 \, a^{5} b^{5} h\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)}^{2} - 50 \, {\left(a^{3} b d + 2 \, a^{4} g\right)} h^{2} + \frac{1}{2} \, {\left(a^{2} b^{5} d^{2} + 4 \, a^{3} b^{4} d g + 4 \, a^{4} b^{3} g^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)} - 20 \, {\left(a^{2} b^{2} d e + 2 \, a^{3} b e g\right)} h + 2 \, {\left(b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a^{2} b^{5} d^{2} + 8 \, a^{3} b^{4} d g + 8 \, a^{4} b^{3} g^{2} + {\left(a^{4} b^{6} e + 5 \, a^{5} b^{5} h\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(b^{2} d e + 10 \, a^{2} g h + {\left(2 \, e g + 5 \, d h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{3} b^{5} {\left(\frac{b^{4} d^{3} + a b^{3} e^{3} + 6 \, a b^{3} d^{2} g + 12 \, a^{2} b^{2} d g^{2} + 8 \, a^{3} b g^{3} + 15 \, a^{2} b^{2} e^{2} h + 75 \, a^{3} b e h^{2} + 125 \, a^{4} h^{3}}{a^{5} b^{8}} + \frac{b^{4} d^{3} - 125 \, a^{4} h^{3} + {\left(8 \, g^{3} - 75 \, e h^{2}\right)} a^{3} b + 3 \, {\left(4 \, d g^{2} - 5 \, e^{2} h\right)} a^{2} b^{2} - {\left(e^{3} - 6 \, d^{2} g\right)} a b^{3}}{a^{5} b^{8}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{3} b^{5} + 16 \, b^{2} d e + 32 \, a b e g + 80 \, {\left(a b d + 2 \, a^{2} g\right)} h}{a^{3} b^{5}}}\right)}{108 \, {\left(a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{3} + a^{3} b^{2}\right)}}"," ",0,"-1/108*(36*a*b*f*x^3 - 12*(b^2*e - 4*a*b*h)*x^5 - 6*(b^2*d - 7*a*b*g)*x^4 + 18*a*b*c + 18*a^2*f + 6*(a*b*e + 5*a^2*h)*x^2 + 2*(a*b^4*x^6 + 2*a^2*b^3*x^3 + a^3*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3)))*log(2*a*b^3*d*e^2 + 4*a^2*b^2*e^2*g + 1/4*(a^4*b^6*e + 5*a^5*b^5*h)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3)))^2 + 50*(a^3*b*d + 2*a^4*g)*h^2 - 1/2*(a^2*b^5*d^2 + 4*a^3*b^4*d*g + 4*a^4*b^3*g^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3))) + 20*(a^2*b^2*d*e + 2*a^3*b*e*g)*h + (b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)*x) + 12*(a*b*d + 2*a^2*g)*x - ((a*b^4*x^6 + 2*a^2*b^3*x^3 + a^3*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3))) + 3*sqrt(1/3)*(a*b^4*x^6 + 2*a^2*b^3*x^3 + a^3*b^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3)))^2*a^3*b^5 + 16*b^2*d*e + 32*a*b*e*g + 80*(a*b*d + 2*a^2*g)*h)/(a^3*b^5)))*log(-2*a*b^3*d*e^2 - 4*a^2*b^2*e^2*g - 1/4*(a^4*b^6*e + 5*a^5*b^5*h)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3)))^2 - 50*(a^3*b*d + 2*a^4*g)*h^2 + 1/2*(a^2*b^5*d^2 + 4*a^3*b^4*d*g + 4*a^4*b^3*g^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3))) - 20*(a^2*b^2*d*e + 2*a^3*b*e*g)*h + 2*(b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)*x + 3/4*sqrt(1/3)*(2*a^2*b^5*d^2 + 8*a^3*b^4*d*g + 8*a^4*b^3*g^2 + (a^4*b^6*e + 5*a^5*b^5*h)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3))))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3)))^2*a^3*b^5 + 16*b^2*d*e + 32*a*b*e*g + 80*(a*b*d + 2*a^2*g)*h)/(a^3*b^5))) - ((a*b^4*x^6 + 2*a^2*b^3*x^3 + a^3*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3))) - 3*sqrt(1/3)*(a*b^4*x^6 + 2*a^2*b^3*x^3 + a^3*b^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3)))^2*a^3*b^5 + 16*b^2*d*e + 32*a*b*e*g + 80*(a*b*d + 2*a^2*g)*h)/(a^3*b^5)))*log(-2*a*b^3*d*e^2 - 4*a^2*b^2*e^2*g - 1/4*(a^4*b^6*e + 5*a^5*b^5*h)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3)))^2 - 50*(a^3*b*d + 2*a^4*g)*h^2 + 1/2*(a^2*b^5*d^2 + 4*a^3*b^4*d*g + 4*a^4*b^3*g^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3))) - 20*(a^2*b^2*d*e + 2*a^3*b*e*g)*h + 2*(b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)*x - 3/4*sqrt(1/3)*(2*a^2*b^5*d^2 + 8*a^3*b^4*d*g + 8*a^4*b^3*g^2 + (a^4*b^6*e + 5*a^5*b^5*h)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3))))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3) - 2*(1/2)^(2/3)*(b^2*d*e + 10*a^2*g*h + (2*e*g + 5*d*h)*a*b)*(-I*sqrt(3) + 1)/(a^3*b^5*((b^4*d^3 + a*b^3*e^3 + 6*a*b^3*d^2*g + 12*a^2*b^2*d*g^2 + 8*a^3*b*g^3 + 15*a^2*b^2*e^2*h + 75*a^3*b*e*h^2 + 125*a^4*h^3)/(a^5*b^8) + (b^4*d^3 - 125*a^4*h^3 + (8*g^3 - 75*e*h^2)*a^3*b + 3*(4*d*g^2 - 5*e^2*h)*a^2*b^2 - (e^3 - 6*d^2*g)*a*b^3)/(a^5*b^8))^(1/3)))^2*a^3*b^5 + 16*b^2*d*e + 32*a*b*e*g + 80*(a*b*d + 2*a^2*g)*h)/(a^3*b^5))))/(a*b^4*x^6 + 2*a^2*b^3*x^3 + a^3*b^2)","C",0
424,1,7190,0,2.228996," ","integrate(x*(h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","-\frac{36 \, a^{2} b g x^{3} - 12 \, {\left(2 \, b^{3} c + a b^{2} f\right)} x^{5} - 6 \, {\left(a b^{2} e - 7 \, a^{2} b h\right)} x^{4} + 18 \, a^{2} b d + 18 \, a^{3} g - 6 \, {\left(7 \, a b^{2} c - a^{2} b f\right)} x^{2} + 2 \, {\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)} \log\left(8 \, a b^{4} c^{2} e + 8 \, a^{2} b^{3} c e f + 2 \, a^{3} b^{2} e f^{2} + \frac{1}{4} \, {\left(2 \, a^{5} b^{6} c + a^{6} b^{5} f\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)}^{2} - \frac{1}{2} \, {\left(a^{4} b^{4} e^{2} + 4 \, a^{5} b^{3} e h + 4 \, a^{6} b^{2} h^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)} + 4 \, {\left(4 \, a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + a^{4} b f^{2}\right)} h + {\left(8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}\right)} x\right) + 12 \, {\left(a^{2} b e + 2 \, a^{3} h\right)} x - {\left({\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{4} + 32 \, b^{2} c e + 16 \, a b e f + 32 \, {\left(2 \, a b c + a^{2} f\right)} h}{a^{4} b^{4}}}\right)} \log\left(-8 \, a b^{4} c^{2} e - 8 \, a^{2} b^{3} c e f - 2 \, a^{3} b^{2} e f^{2} - \frac{1}{4} \, {\left(2 \, a^{5} b^{6} c + a^{6} b^{5} f\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)}^{2} + \frac{1}{2} \, {\left(a^{4} b^{4} e^{2} + 4 \, a^{5} b^{3} e h + 4 \, a^{6} b^{2} h^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)} - 4 \, {\left(4 \, a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + a^{4} b f^{2}\right)} h + 2 \, {\left(8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a^{4} b^{4} e^{2} + 8 \, a^{5} b^{3} e h + 8 \, a^{6} b^{2} h^{2} + {\left(2 \, a^{5} b^{6} c + a^{6} b^{5} f\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{4} + 32 \, b^{2} c e + 16 \, a b e f + 32 \, {\left(2 \, a b c + a^{2} f\right)} h}{a^{4} b^{4}}}\right) - {\left({\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{4} + 32 \, b^{2} c e + 16 \, a b e f + 32 \, {\left(2 \, a b c + a^{2} f\right)} h}{a^{4} b^{4}}}\right)} \log\left(-8 \, a b^{4} c^{2} e - 8 \, a^{2} b^{3} c e f - 2 \, a^{3} b^{2} e f^{2} - \frac{1}{4} \, {\left(2 \, a^{5} b^{6} c + a^{6} b^{5} f\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)}^{2} + \frac{1}{2} \, {\left(a^{4} b^{4} e^{2} + 4 \, a^{5} b^{3} e h + 4 \, a^{6} b^{2} h^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)} - 4 \, {\left(4 \, a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c f + a^{4} b f^{2}\right)} h + 2 \, {\left(8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a^{4} b^{4} e^{2} + 8 \, a^{5} b^{3} e h + 8 \, a^{6} b^{2} h^{2} + {\left(2 \, a^{5} b^{6} c + a^{6} b^{5} f\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, b^{2} c e + 2 \, a^{2} f h + {\left(e f + 4 \, c h\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{4} b^{4} {\left(\frac{8 \, b^{5} c^{3} + a^{2} b^{3} e^{3} + 12 \, a b^{4} c^{2} f + 6 \, a^{2} b^{3} c f^{2} + a^{3} b^{2} f^{3} + 6 \, a^{3} b^{2} e^{2} h + 12 \, a^{4} b e h^{2} + 8 \, a^{5} h^{3}}{a^{7} b^{7}} - \frac{8 \, b^{5} c^{3} + 12 \, a b^{4} c^{2} f - 12 \, a^{4} b e h^{2} - 8 \, a^{5} h^{3} + {\left(f^{3} - 6 \, e^{2} h\right)} a^{3} b^{2} - {\left(e^{3} - 6 \, c f^{2}\right)} a^{2} b^{3}}{a^{7} b^{7}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{4} b^{4} + 32 \, b^{2} c e + 16 \, a b e f + 32 \, {\left(2 \, a b c + a^{2} f\right)} h}{a^{4} b^{4}}}\right)}{108 \, {\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)}}"," ",0,"-1/108*(36*a^2*b*g*x^3 - 12*(2*b^3*c + a*b^2*f)*x^5 - 6*(a*b^2*e - 7*a^2*b*h)*x^4 + 18*a^2*b*d + 18*a^3*g - 6*(7*a*b^2*c - a^2*b*f)*x^2 + 2*(a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3)))*log(8*a*b^4*c^2*e + 8*a^2*b^3*c*e*f + 2*a^3*b^2*e*f^2 + 1/4*(2*a^5*b^6*c + a^6*b^5*f)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3)))^2 - 1/2*(a^4*b^4*e^2 + 4*a^5*b^3*e*h + 4*a^6*b^2*h^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3))) + 4*(4*a^2*b^3*c^2 + 4*a^3*b^2*c*f + a^4*b*f^2)*h + (8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)*x) + 12*(a^2*b*e + 2*a^3*h)*x - ((a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3))) + 3*sqrt(1/3)*(a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3)))^2*a^4*b^4 + 32*b^2*c*e + 16*a*b*e*f + 32*(2*a*b*c + a^2*f)*h)/(a^4*b^4)))*log(-8*a*b^4*c^2*e - 8*a^2*b^3*c*e*f - 2*a^3*b^2*e*f^2 - 1/4*(2*a^5*b^6*c + a^6*b^5*f)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3)))^2 + 1/2*(a^4*b^4*e^2 + 4*a^5*b^3*e*h + 4*a^6*b^2*h^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3))) - 4*(4*a^2*b^3*c^2 + 4*a^3*b^2*c*f + a^4*b*f^2)*h + 2*(8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)*x + 3/4*sqrt(1/3)*(2*a^4*b^4*e^2 + 8*a^5*b^3*e*h + 8*a^6*b^2*h^2 + (2*a^5*b^6*c + a^6*b^5*f)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3))))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3)))^2*a^4*b^4 + 32*b^2*c*e + 16*a*b*e*f + 32*(2*a*b*c + a^2*f)*h)/(a^4*b^4))) - ((a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3))) - 3*sqrt(1/3)*(a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3)))^2*a^4*b^4 + 32*b^2*c*e + 16*a*b*e*f + 32*(2*a*b*c + a^2*f)*h)/(a^4*b^4)))*log(-8*a*b^4*c^2*e - 8*a^2*b^3*c*e*f - 2*a^3*b^2*e*f^2 - 1/4*(2*a^5*b^6*c + a^6*b^5*f)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3)))^2 + 1/2*(a^4*b^4*e^2 + 4*a^5*b^3*e*h + 4*a^6*b^2*h^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3))) - 4*(4*a^2*b^3*c^2 + 4*a^3*b^2*c*f + a^4*b*f^2)*h + 2*(8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)*x - 3/4*sqrt(1/3)*(2*a^4*b^4*e^2 + 8*a^5*b^3*e*h + 8*a^6*b^2*h^2 + (2*a^5*b^6*c + a^6*b^5*f)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3))))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3) - 2*(1/2)^(2/3)*(2*b^2*c*e + 2*a^2*f*h + (e*f + 4*c*h)*a*b)*(-I*sqrt(3) + 1)/(a^4*b^4*((8*b^5*c^3 + a^2*b^3*e^3 + 12*a*b^4*c^2*f + 6*a^2*b^3*c*f^2 + a^3*b^2*f^3 + 6*a^3*b^2*e^2*h + 12*a^4*b*e*h^2 + 8*a^5*h^3)/(a^7*b^7) - (8*b^5*c^3 + 12*a*b^4*c^2*f - 12*a^4*b*e*h^2 - 8*a^5*h^3 + (f^3 - 6*e^2*h)*a^3*b^2 - (e^3 - 6*c*f^2)*a^2*b^3)/(a^7*b^7))^(1/3)))^2*a^4*b^4 + 32*b^2*c*e + 16*a*b*e*f + 32*(2*a*b*c + a^2*f)*h)/(a^4*b^4))))/(a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)","C",0
425,1,6984,0,1.940055," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(b*x^3+a)^3,x, algorithm=""fricas"")","-\frac{36 \, a^{2} b h x^{3} - 12 \, {\left(2 \, b^{3} d + a b^{2} g\right)} x^{5} - 6 \, {\left(5 \, b^{3} c + a b^{2} f\right)} x^{4} + 18 \, a^{2} b e + 18 \, a^{3} h - 6 \, {\left(7 \, a b^{2} d - a^{2} b g\right)} x^{2} + 2 \, {\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} \log\left(40 \, a b^{3} c d^{2} + 8 \, a^{2} b^{2} d^{2} f + \frac{1}{4} \, {\left(2 \, a^{6} b^{4} d + a^{7} b^{3} g\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} + 2 \, {\left(5 \, a^{3} b c + a^{4} f\right)} g^{2} - \frac{1}{2} \, {\left(25 \, a^{3} b^{4} c^{2} + 10 \, a^{4} b^{3} c f + a^{5} b^{2} f^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} + 8 \, {\left(5 \, a^{2} b^{2} c d + a^{3} b d f\right)} g + {\left(125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}\right)} x\right) - 12 \, {\left(4 \, a b^{2} c - a^{2} b f\right)} x - {\left({\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} + 160 \, b^{2} c d + 32 \, a b d f + 16 \, {\left(5 \, a b c + a^{2} f\right)} g}{a^{5} b^{3}}}\right)} \log\left(-40 \, a b^{3} c d^{2} - 8 \, a^{2} b^{2} d^{2} f - \frac{1}{4} \, {\left(2 \, a^{6} b^{4} d + a^{7} b^{3} g\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} - 2 \, {\left(5 \, a^{3} b c + a^{4} f\right)} g^{2} + \frac{1}{2} \, {\left(25 \, a^{3} b^{4} c^{2} + 10 \, a^{4} b^{3} c f + a^{5} b^{2} f^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} - 8 \, {\left(5 \, a^{2} b^{2} c d + a^{3} b d f\right)} g + 2 \, {\left(125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(50 \, a^{3} b^{4} c^{2} + 20 \, a^{4} b^{3} c f + 2 \, a^{5} b^{2} f^{2} + {\left(2 \, a^{6} b^{4} d + a^{7} b^{3} g\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} + 160 \, b^{2} c d + 32 \, a b d f + 16 \, {\left(5 \, a b c + a^{2} f\right)} g}{a^{5} b^{3}}}\right) - {\left({\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} + 160 \, b^{2} c d + 32 \, a b d f + 16 \, {\left(5 \, a b c + a^{2} f\right)} g}{a^{5} b^{3}}}\right)} \log\left(-40 \, a b^{3} c d^{2} - 8 \, a^{2} b^{2} d^{2} f - \frac{1}{4} \, {\left(2 \, a^{6} b^{4} d + a^{7} b^{3} g\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} - 2 \, {\left(5 \, a^{3} b c + a^{4} f\right)} g^{2} + \frac{1}{2} \, {\left(25 \, a^{3} b^{4} c^{2} + 10 \, a^{4} b^{3} c f + a^{5} b^{2} f^{2}\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)} - 8 \, {\left(5 \, a^{2} b^{2} c d + a^{3} b d f\right)} g + 2 \, {\left(125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(50 \, a^{3} b^{4} c^{2} + 20 \, a^{4} b^{3} c f + 2 \, a^{5} b^{2} f^{2} + {\left(2 \, a^{6} b^{4} d + a^{7} b^{3} g\right)} {\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}\right)} \sqrt{-\frac{{\left(\left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(10 \, b^{2} c d + a^{2} f g + {\left(2 \, d f + 5 \, c g\right)} a b\right)} {\left(-i \, \sqrt{3} + 1\right)}}{a^{5} b^{3} {\left(\frac{125 \, b^{4} c^{3} + 8 \, a b^{3} d^{3} + 75 \, a b^{3} c^{2} f + 15 \, a^{2} b^{2} c f^{2} + a^{3} b f^{3} + 12 \, a^{2} b^{2} d^{2} g + 6 \, a^{3} b d g^{2} + a^{4} g^{3}}{a^{8} b^{5}} + \frac{125 \, b^{4} c^{3} - a^{4} g^{3} + {\left(f^{3} - 6 \, d g^{2}\right)} a^{3} b + 3 \, {\left(5 \, c f^{2} - 4 \, d^{2} g\right)} a^{2} b^{2} - {\left(8 \, d^{3} - 75 \, c^{2} f\right)} a b^{3}}{a^{8} b^{5}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{5} b^{3} + 160 \, b^{2} c d + 32 \, a b d f + 16 \, {\left(5 \, a b c + a^{2} f\right)} g}{a^{5} b^{3}}}\right)}{108 \, {\left(a^{2} b^{4} x^{6} + 2 \, a^{3} b^{3} x^{3} + a^{4} b^{2}\right)}}"," ",0,"-1/108*(36*a^2*b*h*x^3 - 12*(2*b^3*d + a*b^2*g)*x^5 - 6*(5*b^3*c + a*b^2*f)*x^4 + 18*a^2*b*e + 18*a^3*h - 6*(7*a*b^2*d - a^2*b*g)*x^2 + 2*(a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3)))*log(40*a*b^3*c*d^2 + 8*a^2*b^2*d^2*f + 1/4*(2*a^6*b^4*d + a^7*b^3*g)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3)))^2 + 2*(5*a^3*b*c + a^4*f)*g^2 - 1/2*(25*a^3*b^4*c^2 + 10*a^4*b^3*c*f + a^5*b^2*f^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3))) + 8*(5*a^2*b^2*c*d + a^3*b*d*f)*g + (125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)*x) - 12*(4*a*b^2*c - a^2*b*f)*x - ((a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3))) + 3*sqrt(1/3)*(a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3)))^2*a^5*b^3 + 160*b^2*c*d + 32*a*b*d*f + 16*(5*a*b*c + a^2*f)*g)/(a^5*b^3)))*log(-40*a*b^3*c*d^2 - 8*a^2*b^2*d^2*f - 1/4*(2*a^6*b^4*d + a^7*b^3*g)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3)))^2 - 2*(5*a^3*b*c + a^4*f)*g^2 + 1/2*(25*a^3*b^4*c^2 + 10*a^4*b^3*c*f + a^5*b^2*f^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3))) - 8*(5*a^2*b^2*c*d + a^3*b*d*f)*g + 2*(125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)*x + 3/4*sqrt(1/3)*(50*a^3*b^4*c^2 + 20*a^4*b^3*c*f + 2*a^5*b^2*f^2 + (2*a^6*b^4*d + a^7*b^3*g)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3))))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3)))^2*a^5*b^3 + 160*b^2*c*d + 32*a*b*d*f + 16*(5*a*b*c + a^2*f)*g)/(a^5*b^3))) - ((a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3))) - 3*sqrt(1/3)*(a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3)))^2*a^5*b^3 + 160*b^2*c*d + 32*a*b*d*f + 16*(5*a*b*c + a^2*f)*g)/(a^5*b^3)))*log(-40*a*b^3*c*d^2 - 8*a^2*b^2*d^2*f - 1/4*(2*a^6*b^4*d + a^7*b^3*g)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3)))^2 - 2*(5*a^3*b*c + a^4*f)*g^2 + 1/2*(25*a^3*b^4*c^2 + 10*a^4*b^3*c*f + a^5*b^2*f^2)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3))) - 8*(5*a^2*b^2*c*d + a^3*b*d*f)*g + 2*(125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)*x - 3/4*sqrt(1/3)*(50*a^3*b^4*c^2 + 20*a^4*b^3*c*f + 2*a^5*b^2*f^2 + (2*a^6*b^4*d + a^7*b^3*g)*((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3))))*sqrt(-(((1/2)^(1/3)*(I*sqrt(3) + 1)*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3) - 2*(1/2)^(2/3)*(10*b^2*c*d + a^2*f*g + (2*d*f + 5*c*g)*a*b)*(-I*sqrt(3) + 1)/(a^5*b^3*((125*b^4*c^3 + 8*a*b^3*d^3 + 75*a*b^3*c^2*f + 15*a^2*b^2*c*f^2 + a^3*b*f^3 + 12*a^2*b^2*d^2*g + 6*a^3*b*d*g^2 + a^4*g^3)/(a^8*b^5) + (125*b^4*c^3 - a^4*g^3 + (f^3 - 6*d*g^2)*a^3*b + 3*(5*c*f^2 - 4*d^2*g)*a^2*b^2 - (8*d^3 - 75*c^2*f)*a*b^3)/(a^8*b^5))^(1/3)))^2*a^5*b^3 + 160*b^2*c*d + 32*a*b*d*f + 16*(5*a*b*c + a^2*f)*g)/(a^5*b^3))))/(a^2*b^4*x^6 + 2*a^3*b^3*x^3 + a^4*b^2)","C",0
426,1,12815,0,35.656430," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{972 \, a b^{2} c x^{3} + 324 \, {\left(2 \, a b^{2} e + a^{2} b h\right)} x^{5} + 162 \, {\left(5 \, a b^{2} d + a^{2} b g\right)} x^{4} + 1458 \, a^{2} b c - 486 \, a^{3} f + 162 \, {\left(7 \, a^{2} b e - a^{3} h\right)} x^{2} - 2 \, {\left(a^{3} b^{3} x^{6} + 2 \, a^{4} b^{2} x^{3} + a^{5} b\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} \log\left(225 \, b^{4} c d^{2} + 162 \, b^{4} c^{2} e + 40 \, a b^{3} d e^{2} + 9 \, a^{2} b^{2} c g^{2} + \frac{1}{2916} \, {\left(2 \, a^{6} b^{4} e + a^{7} b^{3} h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} + 2 \, {\left(5 \, a^{3} b d + a^{4} g\right)} h^{2} - \frac{1}{54} \, {\left(25 \, a^{3} b^{4} d^{2} + 36 \, a^{3} b^{4} c e + 10 \, a^{4} b^{3} d g + a^{5} b^{2} g^{2} + 18 \, a^{4} b^{3} c h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} + 2 \, {\left(45 \, a b^{3} c d + 4 \, a^{2} b^{2} e^{2}\right)} g + {\left(81 \, a b^{3} c^{2} + 40 \, a^{2} b^{2} d e + 8 \, a^{3} b e g\right)} h + {\left(125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}\right)} x\right) + 324 \, {\left(4 \, a^{2} b d - a^{3} g\right)} x - {\left(1458 \, b^{3} c x^{6} + 2916 \, a b^{2} c x^{3} + 1458 \, a^{2} b c - {\left(a^{3} b^{3} x^{6} + 2 \, a^{4} b^{2} x^{3} + a^{5} b\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{3} x^{6} + 2 \, a^{4} b^{2} x^{3} + a^{5} b\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b^{3} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} a^{3} b^{3} c + 236196 \, b^{3} c^{2} + 116640 \, a b^{2} d e + 23328 \, a^{2} b e g + 11664 \, {\left(5 \, a^{2} b d + a^{3} g\right)} h}{a^{6} b^{3}}}\right)} \log\left(-225 \, b^{4} c d^{2} - 162 \, b^{4} c^{2} e - 40 \, a b^{3} d e^{2} - 9 \, a^{2} b^{2} c g^{2} - \frac{1}{2916} \, {\left(2 \, a^{6} b^{4} e + a^{7} b^{3} h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} - 2 \, {\left(5 \, a^{3} b d + a^{4} g\right)} h^{2} + \frac{1}{54} \, {\left(25 \, a^{3} b^{4} d^{2} + 36 \, a^{3} b^{4} c e + 10 \, a^{4} b^{3} d g + a^{5} b^{2} g^{2} + 18 \, a^{4} b^{3} c h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} - 2 \, {\left(45 \, a b^{3} c d + 4 \, a^{2} b^{2} e^{2}\right)} g - {\left(81 \, a b^{3} c^{2} + 40 \, a^{2} b^{2} d e + 8 \, a^{3} b e g\right)} h + 2 \, {\left(125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}\right)} x + \frac{1}{972} \, \sqrt{\frac{1}{3}} {\left(1350 \, a^{3} b^{4} d^{2} - 972 \, a^{3} b^{4} c e + 540 \, a^{4} b^{3} d g + 54 \, a^{5} b^{2} g^{2} - 486 \, a^{4} b^{3} c h + {\left(2 \, a^{6} b^{4} e + a^{7} b^{3} h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b^{3} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - 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\frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} a^{3} b^{3} c + 236196 \, b^{3} c^{2} + 116640 \, a b^{2} d e + 23328 \, a^{2} b e g + 11664 \, {\left(5 \, a^{2} b d + a^{3} g\right)} h}{a^{6} b^{3}}}\right) - {\left(1458 \, b^{3} c x^{6} + 2916 \, a b^{2} c x^{3} + 1458 \, a^{2} b c - {\left(a^{3} b^{3} x^{6} + 2 \, a^{4} b^{2} x^{3} + a^{5} b\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{3} x^{6} + 2 \, a^{4} b^{2} x^{3} + a^{5} b\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b^{3} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} a^{3} b^{3} c + 236196 \, b^{3} c^{2} + 116640 \, a b^{2} d e + 23328 \, a^{2} b e g + 11664 \, {\left(5 \, a^{2} b d + a^{3} g\right)} h}{a^{6} b^{3}}}\right)} \log\left(-225 \, b^{4} c d^{2} - 162 \, b^{4} c^{2} e - 40 \, a b^{3} d e^{2} - 9 \, a^{2} b^{2} c g^{2} - \frac{1}{2916} \, {\left(2 \, a^{6} b^{4} e + a^{7} b^{3} h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} - 2 \, {\left(5 \, a^{3} b d + a^{4} g\right)} h^{2} + \frac{1}{54} \, {\left(25 \, a^{3} b^{4} d^{2} + 36 \, a^{3} b^{4} c e + 10 \, a^{4} b^{3} d g + a^{5} b^{2} g^{2} + 18 \, a^{4} b^{3} c h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} - 2 \, {\left(45 \, a b^{3} c d + 4 \, a^{2} b^{2} e^{2}\right)} g - {\left(81 \, a b^{3} c^{2} + 40 \, a^{2} b^{2} d e + 8 \, a^{3} b e g\right)} h + 2 \, {\left(125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}\right)} x - \frac{1}{972} \, \sqrt{\frac{1}{3}} {\left(1350 \, a^{3} b^{4} d^{2} - 972 \, a^{3} b^{4} c e + 540 \, a^{4} b^{3} d g + 54 \, a^{5} b^{2} g^{2} - 486 \, a^{4} b^{3} c h + {\left(2 \, a^{6} b^{4} e + a^{7} b^{3} h\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)}^{2} a^{6} b^{3} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, c^{2}}{a^{6}} - \frac{81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b}{a^{6} b^{3}}\right)}}{{\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{27 \, a^{9}} + \frac{{\left(81 \, b^{3} c^{2} + 10 \, a b^{2} d e + a^{3} g h + {\left(2 \, e g + 5 \, d h\right)} a^{2} b\right)} c}{1458 \, a^{9} b^{3}} + \frac{125 \, b^{4} d^{3} + 8 \, a b^{3} e^{3} + 75 \, a b^{3} d^{2} g + 15 \, a^{2} b^{2} d g^{2} + a^{3} b g^{3} + 12 \, a^{2} b^{2} e^{2} h + 6 \, a^{3} b e h^{2} + a^{4} h^{3}}{39366 \, a^{8} b^{5}} - \frac{729 \, b^{5} c^{3} + a^{5} h^{3} - {\left(g^{3} - 6 \, e h^{2}\right)} a^{4} b - 3 \, {\left(5 \, d g^{2} - 4 \, e^{2} h - 9 \, c g h\right)} a^{3} b^{2} + {\left(8 \, e^{3} - 75 \, d^{2} g + 27 \, {\left(2 \, e g + 5 \, d h\right)} c\right)} a^{2} b^{3} - 5 \, {\left(25 \, d^{3} - 54 \, c d e\right)} a b^{4}}{39366 \, a^{9} b^{5}}\right)}^{\frac{1}{3}} + \frac{486 \, c}{a^{3}}\right)} a^{3} b^{3} c + 236196 \, b^{3} c^{2} + 116640 \, a b^{2} d e + 23328 \, a^{2} b e g + 11664 \, {\left(5 \, a^{2} b d + a^{3} g\right)} h}{a^{6} b^{3}}}\right) + 2916 \, {\left(b^{3} c x^{6} + 2 \, a b^{2} c x^{3} + a^{2} b c\right)} \log\left(x\right)}{2916 \, {\left(a^{3} b^{3} x^{6} + 2 \, a^{4} b^{2} x^{3} + a^{5} b\right)}}"," ",0,"1/2916*(972*a*b^2*c*x^3 + 324*(2*a*b^2*e + a^2*b*h)*x^5 + 162*(5*a*b^2*d + a^2*b*g)*x^4 + 1458*a^2*b*c - 486*a^3*f + 162*(7*a^2*b*e - a^3*h)*x^2 - 2*(a^3*b^3*x^6 + 2*a^4*b^2*x^3 + a^5*b)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)*log(225*b^4*c*d^2 + 162*b^4*c^2*e + 40*a*b^3*d*e^2 + 9*a^2*b^2*c*g^2 + 1/2916*(2*a^6*b^4*e + a^7*b^3*h)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)^2 + 2*(5*a^3*b*d + a^4*g)*h^2 - 1/54*(25*a^3*b^4*d^2 + 36*a^3*b^4*c*e + 10*a^4*b^3*d*g + a^5*b^2*g^2 + 18*a^4*b^3*c*h)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3) + 2*(45*a*b^3*c*d + 4*a^2*b^2*e^2)*g + (81*a*b^3*c^2 + 40*a^2*b^2*d*e + 8*a^3*b*e*g)*h + (125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)*x) + 324*(4*a^2*b*d - a^3*g)*x - (1458*b^3*c*x^6 + 2916*a*b^2*c*x^3 + 1458*a^2*b*c - (a^3*b^3*x^6 + 2*a^4*b^2*x^3 + a^5*b)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3) - 3*sqrt(1/3)*(a^3*b^3*x^6 + 2*a^4*b^2*x^3 + a^5*b)*sqrt(-(((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)^2*a^6*b^3 - 972*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)*a^3*b^3*c + 236196*b^3*c^2 + 116640*a*b^2*d*e + 23328*a^2*b*e*g + 11664*(5*a^2*b*d + a^3*g)*h)/(a^6*b^3)))*log(-225*b^4*c*d^2 - 162*b^4*c^2*e - 40*a*b^3*d*e^2 - 9*a^2*b^2*c*g^2 - 1/2916*(2*a^6*b^4*e + a^7*b^3*h)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)^2 - 2*(5*a^3*b*d + a^4*g)*h^2 + 1/54*(25*a^3*b^4*d^2 + 36*a^3*b^4*c*e + 10*a^4*b^3*d*g + a^5*b^2*g^2 + 18*a^4*b^3*c*h)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3) - 2*(45*a*b^3*c*d + 4*a^2*b^2*e^2)*g - (81*a*b^3*c^2 + 40*a^2*b^2*d*e + 8*a^3*b*e*g)*h + 2*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)*x + 1/972*sqrt(1/3)*(1350*a^3*b^4*d^2 - 972*a^3*b^4*c*e + 540*a^4*b^3*d*g + 54*a^5*b^2*g^2 - 486*a^4*b^3*c*h + (2*a^6*b^4*e + a^7*b^3*h)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3))*sqrt(-(((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)^2*a^6*b^3 - 972*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)*a^3*b^3*c + 236196*b^3*c^2 + 116640*a*b^2*d*e + 23328*a^2*b*e*g + 11664*(5*a^2*b*d + a^3*g)*h)/(a^6*b^3))) - (1458*b^3*c*x^6 + 2916*a*b^2*c*x^3 + 1458*a^2*b*c - (a^3*b^3*x^6 + 2*a^4*b^2*x^3 + a^5*b)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3) + 3*sqrt(1/3)*(a^3*b^3*x^6 + 2*a^4*b^2*x^3 + a^5*b)*sqrt(-(((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)^2*a^6*b^3 - 972*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)*a^3*b^3*c + 236196*b^3*c^2 + 116640*a*b^2*d*e + 23328*a^2*b*e*g + 11664*(5*a^2*b*d + a^3*g)*h)/(a^6*b^3)))*log(-225*b^4*c*d^2 - 162*b^4*c^2*e - 40*a*b^3*d*e^2 - 9*a^2*b^2*c*g^2 - 1/2916*(2*a^6*b^4*e + a^7*b^3*h)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)^2 - 2*(5*a^3*b*d + a^4*g)*h^2 + 1/54*(25*a^3*b^4*d^2 + 36*a^3*b^4*c*e + 10*a^4*b^3*d*g + a^5*b^2*g^2 + 18*a^4*b^3*c*h)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3) - 2*(45*a*b^3*c*d + 4*a^2*b^2*e^2)*g - (81*a*b^3*c^2 + 40*a^2*b^2*d*e + 8*a^3*b*e*g)*h + 2*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)*x - 1/972*sqrt(1/3)*(1350*a^3*b^4*d^2 - 972*a^3*b^4*c*e + 540*a^4*b^3*d*g + 54*a^5*b^2*g^2 - 486*a^4*b^3*c*h + (2*a^6*b^4*e + a^7*b^3*h)*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3))*sqrt(-(((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)^2*a^6*b^3 - 972*((-I*sqrt(3) + 1)*(81*c^2/a^6 - (81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)/(a^6*b^3))/(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*c^3/a^9 + 1/1458*(81*b^3*c^2 + 10*a*b^2*d*e + a^3*g*h + (2*e*g + 5*d*h)*a^2*b)*c/(a^9*b^3) + 1/39366*(125*b^4*d^3 + 8*a*b^3*e^3 + 75*a*b^3*d^2*g + 15*a^2*b^2*d*g^2 + a^3*b*g^3 + 12*a^2*b^2*e^2*h + 6*a^3*b*e*h^2 + a^4*h^3)/(a^8*b^5) - 1/39366*(729*b^5*c^3 + a^5*h^3 - (g^3 - 6*e*h^2)*a^4*b - 3*(5*d*g^2 - 4*e^2*h - 9*c*g*h)*a^3*b^2 + (8*e^3 - 75*d^2*g + 27*(2*e*g + 5*d*h)*c)*a^2*b^3 - 5*(25*d^3 - 54*c*d*e)*a*b^4)/(a^9*b^5))^(1/3) + 486*c/a^3)*a^3*b^3*c + 236196*b^3*c^2 + 116640*a*b^2*d*e + 23328*a^2*b*e*g + 11664*(5*a^2*b*d + a^3*g)*h)/(a^6*b^3))) + 2916*(b^3*c*x^6 + 2*a*b^2*c*x^3 + a^2*b*c)*log(x))/(a^3*b^3*x^6 + 2*a^4*b^2*x^3 + a^5*b)","C",0
427,1,12951,0,36.805285," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^2/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{972 \, a b^{2} d x^{4} - 648 \, {\left(7 \, b^{3} c - a b^{2} f\right)} x^{6} + 162 \, {\left(5 \, a b^{2} e + a^{2} b h\right)} x^{5} - 2916 \, a^{2} b c - 1134 \, {\left(7 \, a b^{2} c - a^{2} b f\right)} x^{3} + 324 \, {\left(4 \, a^{2} b e - a^{3} h\right)} x^{2} - 2 \, {\left(a^{3} b^{3} x^{7} + 2 \, a^{4} b^{2} x^{4} + a^{5} b x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} \log\left(-1134 \, a b^{4} c d^{2} + 1960 \, a b^{4} c^{2} e + 225 \, a^{2} b^{3} d e^{2} + 40 \, a^{3} b^{2} e f^{2} + 9 \, a^{4} b d h^{2} - \frac{1}{1458} \, {\left(7 \, a^{7} b^{4} c - a^{8} b^{3} f\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} + \frac{1}{54} \, {\left(252 \, a^{4} b^{4} c d - 25 \, a^{5} b^{3} e^{2} - 36 \, a^{5} b^{3} d f - 10 \, a^{6} b^{2} e h - a^{7} b h^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} + 2 \, {\left(81 \, a^{2} b^{3} d^{2} - 280 \, a^{2} b^{3} c e\right)} f + 2 \, {\left(196 \, a^{2} b^{3} c^{2} + 45 \, a^{3} b^{2} d e - 56 \, a^{3} b^{2} c f + 4 \, a^{4} b f^{2}\right)} h - {\left(2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}\right)} x\right) + 486 \, {\left(3 \, a^{2} b d - a^{3} g\right)} x - {\left(1458 \, b^{3} d x^{7} + 2916 \, a b^{2} d x^{4} + 1458 \, a^{2} b d x - {\left(a^{3} b^{3} x^{7} + 2 \, a^{4} b^{2} x^{4} + a^{5} b x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{3} x^{7} + 2 \, a^{4} b^{2} x^{4} + a^{5} b x\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - 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a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{6} b^{2} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} a^{3} b^{2} d + 236196 \, b^{2} d^{2} - 816480 \, b^{2} c e + 116640 \, a b e f - 23328 \, {\left(7 \, a b c - a^{2} f\right)} h}{a^{6} b^{2}}}\right)} \log\left(1134 \, a b^{4} c d^{2} - 1960 \, a b^{4} c^{2} e - 225 \, a^{2} b^{3} d e^{2} - 40 \, a^{3} b^{2} e f^{2} - 9 \, a^{4} b d h^{2} + \frac{1}{1458} \, {\left(7 \, a^{7} b^{4} c - a^{8} b^{3} f\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} - \frac{1}{54} \, {\left(252 \, a^{4} b^{4} c d - 25 \, a^{5} b^{3} e^{2} - 36 \, a^{5} b^{3} d f - 10 \, a^{6} b^{2} e h - a^{7} b h^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} - 2 \, {\left(81 \, a^{2} b^{3} d^{2} - 280 \, a^{2} b^{3} c e\right)} f - 2 \, {\left(196 \, a^{2} b^{3} c^{2} + 45 \, a^{3} b^{2} d e - 56 \, a^{3} b^{2} c f + 4 \, a^{4} b f^{2}\right)} h - 2 \, {\left(2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}\right)} x + \frac{1}{486} \, \sqrt{\frac{1}{3}} {\left(3402 \, a^{4} b^{4} c d + 675 \, a^{5} b^{3} e^{2} - 486 \, a^{5} b^{3} d f + 270 \, a^{6} b^{2} e h + 27 \, a^{7} b h^{2} - {\left(7 \, a^{7} b^{4} c - a^{8} b^{3} f\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 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8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{6} b^{2} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} a^{3} b^{2} d + 236196 \, b^{2} d^{2} - 816480 \, b^{2} c e + 116640 \, a b e f - 23328 \, {\left(7 \, a b c - a^{2} f\right)} h}{a^{6} b^{2}}}\right) - {\left(1458 \, b^{3} d x^{7} + 2916 \, a b^{2} d x^{4} + 1458 \, a^{2} b d x - {\left(a^{3} b^{3} x^{7} + 2 \, a^{4} b^{2} x^{4} + a^{5} b x\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{3} x^{7} + 2 \, a^{4} b^{2} x^{4} + a^{5} b x\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{6} b^{2} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} a^{3} b^{2} d + 236196 \, b^{2} d^{2} - 816480 \, b^{2} c e + 116640 \, a b e f - 23328 \, {\left(7 \, a b c - a^{2} f\right)} h}{a^{6} b^{2}}}\right)} \log\left(1134 \, a b^{4} c d^{2} - 1960 \, a b^{4} c^{2} e - 225 \, a^{2} b^{3} d e^{2} - 40 \, a^{3} b^{2} e f^{2} - 9 \, a^{4} b d h^{2} + \frac{1}{1458} \, {\left(7 \, a^{7} b^{4} c - a^{8} b^{3} f\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} - \frac{1}{54} \, {\left(252 \, a^{4} b^{4} c d - 25 \, a^{5} b^{3} e^{2} - 36 \, a^{5} b^{3} d f - 10 \, a^{6} b^{2} e h - a^{7} b h^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} - 2 \, {\left(81 \, a^{2} b^{3} d^{2} - 280 \, a^{2} b^{3} c e\right)} f - 2 \, {\left(196 \, a^{2} b^{3} c^{2} + 45 \, a^{3} b^{2} d e - 56 \, a^{3} b^{2} c f + 4 \, a^{4} b f^{2}\right)} h - 2 \, {\left(2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}\right)} x - \frac{1}{486} \, \sqrt{\frac{1}{3}} {\left(3402 \, a^{4} b^{4} c d + 675 \, a^{5} b^{3} e^{2} - 486 \, a^{5} b^{3} d f + 270 \, a^{6} b^{2} e h + 27 \, a^{7} b h^{2} - {\left(7 \, a^{7} b^{4} c - a^{8} b^{3} f\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)}^{2} a^{6} b^{2} - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, d^{2}}{a^{6}} - \frac{2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}}{a^{6} b^{2}}\right)}}{{\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{d^{3}}{27 \, a^{9}} + \frac{{\left(2 \, a^{2} f h + 2 \, {\left(5 \, e f - 7 \, c h\right)} a b + {\left(81 \, d^{2} - 70 \, c e\right)} b^{2}\right)} d}{1458 \, a^{9} b^{2}} - \frac{2744 \, b^{5} c^{3} - 125 \, a^{2} b^{3} e^{3} - 1176 \, a b^{4} c^{2} f + 168 \, a^{2} b^{3} c f^{2} - 8 \, a^{3} b^{2} f^{3} - 75 \, a^{3} b^{2} e^{2} h - 15 \, a^{4} b e h^{2} - a^{5} h^{3}}{39366 \, a^{10} b^{4}} + \frac{2744 \, b^{5} c^{3} + 15 \, a^{4} b e h^{2} + a^{5} h^{3} - {\left(8 \, f^{3} - 75 \, e^{2} h + 54 \, d f h\right)} a^{3} b^{2} + {\left(125 \, e^{3} - 270 \, d e f + 42 \, {\left(4 \, f^{2} + 9 \, d h\right)} c\right)} a^{2} b^{3} - 3 \, {\left(243 \, d^{3} - 630 \, c d e + 392 \, c^{2} f\right)} a b^{4}}{39366 \, a^{10} b^{4}}\right)}^{\frac{1}{3}} + \frac{486 \, d}{a^{3}}\right)} a^{3} b^{2} d + 236196 \, b^{2} d^{2} - 816480 \, b^{2} c e + 116640 \, a b e f - 23328 \, {\left(7 \, a b c - a^{2} f\right)} h}{a^{6} b^{2}}}\right) + 2916 \, {\left(b^{3} d x^{7} + 2 \, a b^{2} d x^{4} + a^{2} b d x\right)} \log\left(x\right)}{2916 \, {\left(a^{3} b^{3} x^{7} + 2 \, a^{4} b^{2} x^{4} + a^{5} b x\right)}}"," ",0,"1/2916*(972*a*b^2*d*x^4 - 648*(7*b^3*c - a*b^2*f)*x^6 + 162*(5*a*b^2*e + a^2*b*h)*x^5 - 2916*a^2*b*c - 1134*(7*a*b^2*c - a^2*b*f)*x^3 + 324*(4*a^2*b*e - a^3*h)*x^2 - 2*(a^3*b^3*x^7 + 2*a^4*b^2*x^4 + a^5*b*x)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)*log(-1134*a*b^4*c*d^2 + 1960*a*b^4*c^2*e + 225*a^2*b^3*d*e^2 + 40*a^3*b^2*e*f^2 + 9*a^4*b*d*h^2 - 1/1458*(7*a^7*b^4*c - a^8*b^3*f)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)^2 + 1/54*(252*a^4*b^4*c*d - 25*a^5*b^3*e^2 - 36*a^5*b^3*d*f - 10*a^6*b^2*e*h - a^7*b*h^2)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3) + 2*(81*a^2*b^3*d^2 - 280*a^2*b^3*c*e)*f + 2*(196*a^2*b^3*c^2 + 45*a^3*b^2*d*e - 56*a^3*b^2*c*f + 4*a^4*b*f^2)*h - (2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)*x) + 486*(3*a^2*b*d - a^3*g)*x - (1458*b^3*d*x^7 + 2916*a*b^2*d*x^4 + 1458*a^2*b*d*x - (a^3*b^3*x^7 + 2*a^4*b^2*x^4 + a^5*b*x)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3) - 3*sqrt(1/3)*(a^3*b^3*x^7 + 2*a^4*b^2*x^4 + a^5*b*x)*sqrt(-(((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)^2*a^6*b^2 - 972*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)*a^3*b^2*d + 236196*b^2*d^2 - 816480*b^2*c*e + 116640*a*b*e*f - 23328*(7*a*b*c - a^2*f)*h)/(a^6*b^2)))*log(1134*a*b^4*c*d^2 - 1960*a*b^4*c^2*e - 225*a^2*b^3*d*e^2 - 40*a^3*b^2*e*f^2 - 9*a^4*b*d*h^2 + 1/1458*(7*a^7*b^4*c - a^8*b^3*f)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)^2 - 1/54*(252*a^4*b^4*c*d - 25*a^5*b^3*e^2 - 36*a^5*b^3*d*f - 10*a^6*b^2*e*h - a^7*b*h^2)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3) - 2*(81*a^2*b^3*d^2 - 280*a^2*b^3*c*e)*f - 2*(196*a^2*b^3*c^2 + 45*a^3*b^2*d*e - 56*a^3*b^2*c*f + 4*a^4*b*f^2)*h - 2*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)*x + 1/486*sqrt(1/3)*(3402*a^4*b^4*c*d + 675*a^5*b^3*e^2 - 486*a^5*b^3*d*f + 270*a^6*b^2*e*h + 27*a^7*b*h^2 - (7*a^7*b^4*c - a^8*b^3*f)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3))*sqrt(-(((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)^2*a^6*b^2 - 972*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)*a^3*b^2*d + 236196*b^2*d^2 - 816480*b^2*c*e + 116640*a*b*e*f - 23328*(7*a*b*c - a^2*f)*h)/(a^6*b^2))) - (1458*b^3*d*x^7 + 2916*a*b^2*d*x^4 + 1458*a^2*b*d*x - (a^3*b^3*x^7 + 2*a^4*b^2*x^4 + a^5*b*x)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3) + 3*sqrt(1/3)*(a^3*b^3*x^7 + 2*a^4*b^2*x^4 + a^5*b*x)*sqrt(-(((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)^2*a^6*b^2 - 972*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)*a^3*b^2*d + 236196*b^2*d^2 - 816480*b^2*c*e + 116640*a*b*e*f - 23328*(7*a*b*c - a^2*f)*h)/(a^6*b^2)))*log(1134*a*b^4*c*d^2 - 1960*a*b^4*c^2*e - 225*a^2*b^3*d*e^2 - 40*a^3*b^2*e*f^2 - 9*a^4*b*d*h^2 + 1/1458*(7*a^7*b^4*c - a^8*b^3*f)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)^2 - 1/54*(252*a^4*b^4*c*d - 25*a^5*b^3*e^2 - 36*a^5*b^3*d*f - 10*a^6*b^2*e*h - a^7*b*h^2)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3) - 2*(81*a^2*b^3*d^2 - 280*a^2*b^3*c*e)*f - 2*(196*a^2*b^3*c^2 + 45*a^3*b^2*d*e - 56*a^3*b^2*c*f + 4*a^4*b*f^2)*h - 2*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)*x - 1/486*sqrt(1/3)*(3402*a^4*b^4*c*d + 675*a^5*b^3*e^2 - 486*a^5*b^3*d*f + 270*a^6*b^2*e*h + 27*a^7*b*h^2 - (7*a^7*b^4*c - a^8*b^3*f)*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3))*sqrt(-(((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)^2*a^6*b^2 - 972*((-I*sqrt(3) + 1)*(81*d^2/a^6 - (2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)/(a^6*b^2))/(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*d^3/a^9 + 1/1458*(2*a^2*f*h + 2*(5*e*f - 7*c*h)*a*b + (81*d^2 - 70*c*e)*b^2)*d/(a^9*b^2) - 1/39366*(2744*b^5*c^3 - 125*a^2*b^3*e^3 - 1176*a*b^4*c^2*f + 168*a^2*b^3*c*f^2 - 8*a^3*b^2*f^3 - 75*a^3*b^2*e^2*h - 15*a^4*b*e*h^2 - a^5*h^3)/(a^10*b^4) + 1/39366*(2744*b^5*c^3 + 15*a^4*b*e*h^2 + a^5*h^3 - (8*f^3 - 75*e^2*h + 54*d*f*h)*a^3*b^2 + (125*e^3 - 270*d*e*f + 42*(4*f^2 + 9*d*h)*c)*a^2*b^3 - 3*(243*d^3 - 630*c*d*e + 392*c^2*f)*a*b^4)/(a^10*b^4))^(1/3) + 486*d/a^3)*a^3*b^2*d + 236196*b^2*d^2 - 816480*b^2*c*e + 116640*a*b*e*f - 23328*(7*a*b*c - a^2*f)*h)/(a^6*b^2))) + 2916*(b^3*d*x^7 + 2*a*b^2*d*x^4 + a^2*b*d*x)*log(x))/(a^3*b^3*x^7 + 2*a^4*b^2*x^4 + a^5*b*x)","C",0
428,1,12435,0,26.933159," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^3/(b*x^3+a)^3,x, algorithm=""fricas"")","\frac{972 \, a b^{2} e x^{5} - 648 \, {\left(7 \, b^{3} d - a b^{2} g\right)} x^{7} - 810 \, {\left(4 \, b^{3} c - a b^{2} f\right)} x^{6} - 2916 \, a^{2} b d x - 1134 \, {\left(7 \, a b^{2} d - a^{2} b g\right)} x^{4} - 1458 \, a^{2} b c - 1296 \, {\left(4 \, a b^{2} c - a^{2} b f\right)} x^{3} + 486 \, {\left(3 \, a^{2} b e - a^{3} h\right)} x^{2} - 2 \, {\left(a^{3} b^{3} x^{8} + 2 \, a^{4} b^{2} x^{5} + a^{5} b x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} \log\left(-7840 \, a b^{3} c d^{2} + 3600 \, a b^{3} c^{2} e - 1134 \, a^{2} b^{2} d e^{2} + 225 \, a^{3} b e f^{2} - \frac{1}{1458} \, {\left(7 \, a^{8} b^{2} d - a^{9} b g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} - 40 \, {\left(4 \, a^{3} b c - a^{4} f\right)} g^{2} - \frac{1}{54} \, {\left(400 \, a^{4} b^{3} c^{2} - 252 \, a^{5} b^{2} d e - 200 \, a^{5} b^{2} c f + 25 \, a^{6} b f^{2} + 36 \, a^{6} b e g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} + 40 \, {\left(49 \, a^{2} b^{2} d^{2} - 45 \, a^{2} b^{2} c e\right)} f + 2 \, {\left(1120 \, a^{2} b^{2} c d + 81 \, a^{3} b e^{2} - 280 \, a^{3} b d f\right)} g - {\left(8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}\right)} x\right) - {\left(1458 \, b^{3} e x^{8} + 2916 \, a b^{2} e x^{5} + 1458 \, a^{2} b e x^{2} - {\left(a^{3} b^{3} x^{8} + 2 \, a^{4} b^{2} x^{5} + a^{5} b x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{3} x^{8} + 2 \, a^{4} b^{2} x^{5} + a^{5} b x^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{7} b - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} a^{4} b e + 3265920 \, b^{2} c d + 236196 \, a b e^{2} - 816480 \, a b d f - 116640 \, {\left(4 \, a b c - a^{2} f\right)} g}{a^{7} b}}\right)} \log\left(7840 \, a b^{3} c d^{2} - 3600 \, a b^{3} c^{2} e + 1134 \, a^{2} b^{2} d e^{2} - 225 \, a^{3} b e f^{2} + \frac{1}{1458} \, {\left(7 \, a^{8} b^{2} d - a^{9} b g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} + 40 \, {\left(4 \, a^{3} b c - a^{4} f\right)} g^{2} + \frac{1}{54} \, {\left(400 \, a^{4} b^{3} c^{2} - 252 \, a^{5} b^{2} d e - 200 \, a^{5} b^{2} c f + 25 \, a^{6} b f^{2} + 36 \, a^{6} b e g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} - 40 \, {\left(49 \, a^{2} b^{2} d^{2} - 45 \, a^{2} b^{2} c e\right)} f - 2 \, {\left(1120 \, a^{2} b^{2} c d + 81 \, a^{3} b e^{2} - 280 \, a^{3} b d f\right)} g - 2 \, {\left(8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}\right)} x + \frac{1}{486} \, \sqrt{\frac{1}{3}} {\left(10800 \, a^{4} b^{3} c^{2} + 3402 \, a^{5} b^{2} d e - 5400 \, a^{5} b^{2} c f + 675 \, a^{6} b f^{2} - 486 \, a^{6} b e g - {\left(7 \, a^{8} b^{2} d - a^{9} b g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{7} b - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} a^{4} b e + 3265920 \, b^{2} c d + 236196 \, a b e^{2} - 816480 \, a b d f - 116640 \, {\left(4 \, a b c - a^{2} f\right)} g}{a^{7} b}}\right) - {\left(1458 \, b^{3} e x^{8} + 2916 \, a b^{2} e x^{5} + 1458 \, a^{2} b e x^{2} - {\left(a^{3} b^{3} x^{8} + 2 \, a^{4} b^{2} x^{5} + a^{5} b x^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a^{3} b^{3} x^{8} + 2 \, a^{4} b^{2} x^{5} + a^{5} b x^{2}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{7} b - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 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1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} a^{4} b e + 3265920 \, b^{2} c d + 236196 \, a b e^{2} - 816480 \, a b d f - 116640 \, {\left(4 \, a b c - a^{2} f\right)} g}{a^{7} b}}\right)} \log\left(7840 \, a b^{3} c d^{2} - 3600 \, a b^{3} c^{2} e + 1134 \, a^{2} b^{2} d e^{2} - 225 \, a^{3} b e f^{2} + \frac{1}{1458} \, {\left(7 \, a^{8} b^{2} d - a^{9} b g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} + 40 \, {\left(4 \, a^{3} b c - a^{4} f\right)} g^{2} + \frac{1}{54} \, {\left(400 \, a^{4} b^{3} c^{2} - 252 \, a^{5} b^{2} d e - 200 \, a^{5} b^{2} c f + 25 \, a^{6} b f^{2} + 36 \, a^{6} b e g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 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1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} - 40 \, {\left(49 \, a^{2} b^{2} d^{2} - 45 \, a^{2} b^{2} c e\right)} f - 2 \, {\left(1120 \, a^{2} b^{2} c d + 81 \, a^{3} b e^{2} - 280 \, a^{3} b d f\right)} g - 2 \, {\left(8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}\right)} x - \frac{1}{486} \, \sqrt{\frac{1}{3}} {\left(10800 \, a^{4} b^{3} c^{2} + 3402 \, a^{5} b^{2} d e - 5400 \, a^{5} b^{2} c f + 675 \, a^{6} b f^{2} - 486 \, a^{6} b e g - {\left(7 \, a^{8} b^{2} d - a^{9} b g\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 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1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)}^{2} a^{7} b - 972 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{81 \, e^{2}}{a^{6}} - \frac{280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b}{a^{7} b}\right)}}{{\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}}} + 729 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{e^{3}}{27 \, a^{9}} + \frac{{\left(280 \, b^{2} c d + 10 \, a^{2} f g + {\left(81 \, e^{2} - 70 \, d f - 40 \, c g\right)} a b\right)} e}{1458 \, a^{10} b} - \frac{8000 \, b^{4} c^{3} + 2744 \, a b^{3} d^{3} - 6000 \, a b^{3} c^{2} f + 1500 \, a^{2} b^{2} c f^{2} - 125 \, a^{3} b f^{3} - 1176 \, a^{2} b^{2} d^{2} g + 168 \, a^{3} b d g^{2} - 8 \, a^{4} g^{3}}{39366 \, a^{11} b^{2}} - \frac{8000 \, b^{4} c^{3} + 8 \, a^{4} g^{3} - {\left(125 \, f^{3} - 270 \, e f g + 168 \, d g^{2}\right)} a^{3} b + 3 \, {\left(243 \, e^{3} - 630 \, d e f + 392 \, d^{2} g + 20 \, {\left(25 \, f^{2} - 18 \, e g\right)} c\right)} a^{2} b^{2} - 8 \, {\left(343 \, d^{3} - 945 \, c d e + 750 \, c^{2} f\right)} a b^{3}}{39366 \, a^{11} b^{2}}\right)}^{\frac{1}{3}} + \frac{486 \, e}{a^{3}}\right)} a^{4} b e + 3265920 \, b^{2} c d + 236196 \, a b e^{2} - 816480 \, a b d f - 116640 \, {\left(4 \, a b c - a^{2} f\right)} g}{a^{7} b}}\right) + 2916 \, {\left(b^{3} e x^{8} + 2 \, a b^{2} e x^{5} + a^{2} b e x^{2}\right)} \log\left(x\right)}{2916 \, {\left(a^{3} b^{3} x^{8} + 2 \, a^{4} b^{2} x^{5} + a^{5} b x^{2}\right)}}"," ",0,"1/2916*(972*a*b^2*e*x^5 - 648*(7*b^3*d - a*b^2*g)*x^7 - 810*(4*b^3*c - a*b^2*f)*x^6 - 2916*a^2*b*d*x - 1134*(7*a*b^2*d - a^2*b*g)*x^4 - 1458*a^2*b*c - 1296*(4*a*b^2*c - a^2*b*f)*x^3 + 486*(3*a^2*b*e - a^3*h)*x^2 - 2*(a^3*b^3*x^8 + 2*a^4*b^2*x^5 + a^5*b*x^2)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)*log(-7840*a*b^3*c*d^2 + 3600*a*b^3*c^2*e - 1134*a^2*b^2*d*e^2 + 225*a^3*b*e*f^2 - 1/1458*(7*a^8*b^2*d - a^9*b*g)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)^2 - 40*(4*a^3*b*c - a^4*f)*g^2 - 1/54*(400*a^4*b^3*c^2 - 252*a^5*b^2*d*e - 200*a^5*b^2*c*f + 25*a^6*b*f^2 + 36*a^6*b*e*g)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3) + 40*(49*a^2*b^2*d^2 - 45*a^2*b^2*c*e)*f + 2*(1120*a^2*b^2*c*d + 81*a^3*b*e^2 - 280*a^3*b*d*f)*g - (8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)*x) - (1458*b^3*e*x^8 + 2916*a*b^2*e*x^5 + 1458*a^2*b*e*x^2 - (a^3*b^3*x^8 + 2*a^4*b^2*x^5 + a^5*b*x^2)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3) - 3*sqrt(1/3)*(a^3*b^3*x^8 + 2*a^4*b^2*x^5 + a^5*b*x^2)*sqrt(-(((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)^2*a^7*b - 972*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)*a^4*b*e + 3265920*b^2*c*d + 236196*a*b*e^2 - 816480*a*b*d*f - 116640*(4*a*b*c - a^2*f)*g)/(a^7*b)))*log(7840*a*b^3*c*d^2 - 3600*a*b^3*c^2*e + 1134*a^2*b^2*d*e^2 - 225*a^3*b*e*f^2 + 1/1458*(7*a^8*b^2*d - a^9*b*g)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)^2 + 40*(4*a^3*b*c - a^4*f)*g^2 + 1/54*(400*a^4*b^3*c^2 - 252*a^5*b^2*d*e - 200*a^5*b^2*c*f + 25*a^6*b*f^2 + 36*a^6*b*e*g)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3) - 40*(49*a^2*b^2*d^2 - 45*a^2*b^2*c*e)*f - 2*(1120*a^2*b^2*c*d + 81*a^3*b*e^2 - 280*a^3*b*d*f)*g - 2*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)*x + 1/486*sqrt(1/3)*(10800*a^4*b^3*c^2 + 3402*a^5*b^2*d*e - 5400*a^5*b^2*c*f + 675*a^6*b*f^2 - 486*a^6*b*e*g - (7*a^8*b^2*d - a^9*b*g)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3))*sqrt(-(((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)^2*a^7*b - 972*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)*a^4*b*e + 3265920*b^2*c*d + 236196*a*b*e^2 - 816480*a*b*d*f - 116640*(4*a*b*c - a^2*f)*g)/(a^7*b))) - (1458*b^3*e*x^8 + 2916*a*b^2*e*x^5 + 1458*a^2*b*e*x^2 - (a^3*b^3*x^8 + 2*a^4*b^2*x^5 + a^5*b*x^2)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3) + 3*sqrt(1/3)*(a^3*b^3*x^8 + 2*a^4*b^2*x^5 + a^5*b*x^2)*sqrt(-(((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)^2*a^7*b - 972*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)*a^4*b*e + 3265920*b^2*c*d + 236196*a*b*e^2 - 816480*a*b*d*f - 116640*(4*a*b*c - a^2*f)*g)/(a^7*b)))*log(7840*a*b^3*c*d^2 - 3600*a*b^3*c^2*e + 1134*a^2*b^2*d*e^2 - 225*a^3*b*e*f^2 + 1/1458*(7*a^8*b^2*d - a^9*b*g)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)^2 + 40*(4*a^3*b*c - a^4*f)*g^2 + 1/54*(400*a^4*b^3*c^2 - 252*a^5*b^2*d*e - 200*a^5*b^2*c*f + 25*a^6*b*f^2 + 36*a^6*b*e*g)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3) - 40*(49*a^2*b^2*d^2 - 45*a^2*b^2*c*e)*f - 2*(1120*a^2*b^2*c*d + 81*a^3*b*e^2 - 280*a^3*b*d*f)*g - 2*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)*x - 1/486*sqrt(1/3)*(10800*a^4*b^3*c^2 + 3402*a^5*b^2*d*e - 5400*a^5*b^2*c*f + 675*a^6*b*f^2 - 486*a^6*b*e*g - (7*a^8*b^2*d - a^9*b*g)*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3))*sqrt(-(((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)^2*a^7*b - 972*((-I*sqrt(3) + 1)*(81*e^2/a^6 - (280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)/(a^7*b))/(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 729*(I*sqrt(3) + 1)*(-1/27*e^3/a^9 + 1/1458*(280*b^2*c*d + 10*a^2*f*g + (81*e^2 - 70*d*f - 40*c*g)*a*b)*e/(a^10*b) - 1/39366*(8000*b^4*c^3 + 2744*a*b^3*d^3 - 6000*a*b^3*c^2*f + 1500*a^2*b^2*c*f^2 - 125*a^3*b*f^3 - 1176*a^2*b^2*d^2*g + 168*a^3*b*d*g^2 - 8*a^4*g^3)/(a^11*b^2) - 1/39366*(8000*b^4*c^3 + 8*a^4*g^3 - (125*f^3 - 270*e*f*g + 168*d*g^2)*a^3*b + 3*(243*e^3 - 630*d*e*f + 392*d^2*g + 20*(25*f^2 - 18*e*g)*c)*a^2*b^2 - 8*(343*d^3 - 945*c*d*e + 750*c^2*f)*a*b^3)/(a^11*b^2))^(1/3) + 486*e/a^3)*a^4*b*e + 3265920*b^2*c*d + 236196*a*b*e^2 - 816480*a*b*d*f - 116640*(4*a*b*c - a^2*f)*g)/(a^7*b))) + 2916*(b^3*e*x^8 + 2*a*b^2*e*x^5 + a^2*b*e*x^2)*log(x))/(a^3*b^3*x^8 + 2*a^4*b^2*x^5 + a^5*b*x^2)","C",0
429,-1,0,0,0.000000," ","integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/x^4/(b*x^3+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
430,0,0,0,0.436223," ","integrate(x^3*(e*x^2+d*x+c)/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x^{5} + d x^{4} + c x^{3}}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((e*x^5 + d*x^4 + c*x^3)/sqrt(b*x^3 + a), x)","F",0
431,0,0,0,0.419270," ","integrate(x^2*(e*x^2+d*x+c)/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x^{4} + d x^{3} + c x^{2}}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((e*x^4 + d*x^3 + c*x^2)/sqrt(b*x^3 + a), x)","F",0
432,0,0,0,0.414591," ","integrate(x*(e*x^2+d*x+c)/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x^{3} + d x^{2} + c x}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((e*x^3 + d*x^2 + c*x)/sqrt(b*x^3 + a), x)","F",0
433,0,0,0,0.420390," ","integrate((e*x^2+d*x+c)/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x^{2} + d x + c}{\sqrt{b x^{3} + a}}, x\right)"," ",0,"integral((e*x^2 + d*x + c)/sqrt(b*x^3 + a), x)","F",0
434,0,0,0,0.665762," ","integrate((e*x^2+d*x+c)/x/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a} {\left(e x^{2} + d x + c\right)}}{b x^{4} + a x}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(e*x^2 + d*x + c)/(b*x^4 + a*x), x)","F",0
435,0,0,0,0.464901," ","integrate((e*x^2+d*x+c)/x^2/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a} {\left(e x^{2} + d x + c\right)}}{b x^{5} + a x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(e*x^2 + d*x + c)/(b*x^5 + a*x^2), x)","F",0
436,0,0,0,0.459589," ","integrate((e*x^2+d*x+c)/x^3/(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a} {\left(e x^{2} + d x + c\right)}}{b x^{6} + a x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(e*x^2 + d*x + c)/(b*x^6 + a*x^3), x)","F",0
437,0,0,0,0.427850," ","integrate(x^5*(e*x^2+d*x+c)/(b*x^3+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x^{7} + d x^{6} + c x^{5}\right)} \sqrt{b x^{3} + a}}{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}, x\right)"," ",0,"integral((e*x^7 + d*x^6 + c*x^5)*sqrt(b*x^3 + a)/(b^2*x^6 + 2*a*b*x^3 + a^2), x)","F",0
438,0,0,0,0.421294," ","integrate(x^4*(e*x^2+d*x+c)/(b*x^3+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x^{6} + d x^{5} + c x^{4}\right)} \sqrt{b x^{3} + a}}{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}, x\right)"," ",0,"integral((e*x^6 + d*x^5 + c*x^4)*sqrt(b*x^3 + a)/(b^2*x^6 + 2*a*b*x^3 + a^2), x)","F",0
439,0,0,0,0.443484," ","integrate(x^3*(e*x^2+d*x+c)/(b*x^3+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x^{5} + d x^{4} + c x^{3}\right)} \sqrt{b x^{3} + a}}{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}, x\right)"," ",0,"integral((e*x^5 + d*x^4 + c*x^3)*sqrt(b*x^3 + a)/(b^2*x^6 + 2*a*b*x^3 + a^2), x)","F",0
440,0,0,0,0.441738," ","integrate(x^2*(e*x^2+d*x+c)/(b*x^3+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x^{4} + d x^{3} + c x^{2}\right)} \sqrt{b x^{3} + a}}{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}, x\right)"," ",0,"integral((e*x^4 + d*x^3 + c*x^2)*sqrt(b*x^3 + a)/(b^2*x^6 + 2*a*b*x^3 + a^2), x)","F",0
441,0,0,0,0.437881," ","integrate(x*(e*x^2+d*x+c)/(b*x^3+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a} {\left(e x^{3} + d x^{2} + c x\right)}}{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(e*x^3 + d*x^2 + c*x)/(b^2*x^6 + 2*a*b*x^3 + a^2), x)","F",0
442,0,0,0,0.422445," ","integrate((e*x^2+d*x+c)/(b*x^3+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a} {\left(e x^{2} + d x + c\right)}}{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(e*x^2 + d*x + c)/(b^2*x^6 + 2*a*b*x^3 + a^2), x)","F",0
443,0,0,0,0.467764," ","integrate((e*x^2+d*x+c)/x/(b*x^3+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a} {\left(e x^{2} + d x + c\right)}}{b^{2} x^{7} + 2 \, a b x^{4} + a^{2} x}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(e*x^2 + d*x + c)/(b^2*x^7 + 2*a*b*x^4 + a^2*x), x)","F",0
444,0,0,0,0.468499," ","integrate((e*x^2+d*x+c)/x^2/(b*x^3+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a} {\left(e x^{2} + d x + c\right)}}{b^{2} x^{8} + 2 \, a b x^{5} + a^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a)*(e*x^2 + d*x + c)/(b^2*x^8 + 2*a*b*x^5 + a^2*x^2), x)","F",0
445,0,0,0,0.426772," ","integrate(x^3*(g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(g x^{7} + f x^{6} + e x^{5} + d x^{4} + c x^{3}\right)} \sqrt{b x^{3} + a}, x\right)"," ",0,"integral((g*x^7 + f*x^6 + e*x^5 + d*x^4 + c*x^3)*sqrt(b*x^3 + a), x)","F",0
446,0,0,0,0.426226," ","integrate(x^2*(g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(g x^{6} + f x^{5} + e x^{4} + d x^{3} + c x^{2}\right)} \sqrt{b x^{3} + a}, x\right)"," ",0,"integral((g*x^6 + f*x^5 + e*x^4 + d*x^3 + c*x^2)*sqrt(b*x^3 + a), x)","F",0
447,0,0,0,0.439537," ","integrate(x*(g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(g x^{5} + f x^{4} + e x^{3} + d x^{2} + c x\right)} \sqrt{b x^{3} + a}, x\right)"," ",0,"integral((g*x^5 + f*x^4 + e*x^3 + d*x^2 + c*x)*sqrt(b*x^3 + a), x)","F",0
448,0,0,0,0.436271," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a), x)","F",0
449,0,0,0,0.653527," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{x}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/x, x)","F",0
450,0,0,0,0.647625," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{x^{2}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/x^2, x)","F",0
451,0,0,0,0.668841," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{x^{3}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/x^3, x)","F",0
452,0,0,0,0.879533," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{x^{4}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/x^4, x)","F",0
453,0,0,0,0.912148," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{x^{5}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/x^5, x)","F",0
454,0,0,0,0.695880," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{x^{6}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/x^6, x)","F",0
455,0,0,0,0.528858," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2)/x^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{x^{7}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/x^7, x)","F",0
456,0,0,0,0.510027," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2)/x^8,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{x^{8}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/x^8, x)","F",0
457,0,0,0,0.464976," ","integrate((g*x^4+f*x^3+e*x^2+d*x+c)*(b*x^3+a)^(1/2)/x^9,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{4} + f x^{3} + e x^{2} + d x + c\right)} \sqrt{b x^{3} + a}}{x^{9}}, x\right)"," ",0,"integral((g*x^4 + f*x^3 + e*x^2 + d*x + c)*sqrt(b*x^3 + a)/x^9, x)","F",0
458,0,0,0,0.440169," ","integrate(x^3*(b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(b g x^{10} + b f x^{9} + b e x^{8} + {\left(b d + a g\right)} x^{7} + a e x^{5} + {\left(b c + a f\right)} x^{6} + a d x^{4} + a c x^{3}\right)} \sqrt{b x^{3} + a}, x\right)"," ",0,"integral((b*g*x^10 + b*f*x^9 + b*e*x^8 + (b*d + a*g)*x^7 + a*e*x^5 + (b*c + a*f)*x^6 + a*d*x^4 + a*c*x^3)*sqrt(b*x^3 + a), x)","F",0
459,0,0,0,0.448342," ","integrate(x^2*(b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(b g x^{9} + b f x^{8} + b e x^{7} + {\left(b d + a g\right)} x^{6} + a e x^{4} + {\left(b c + a f\right)} x^{5} + a d x^{3} + a c x^{2}\right)} \sqrt{b x^{3} + a}, x\right)"," ",0,"integral((b*g*x^9 + b*f*x^8 + b*e*x^7 + (b*d + a*g)*x^6 + a*e*x^4 + (b*c + a*f)*x^5 + a*d*x^3 + a*c*x^2)*sqrt(b*x^3 + a), x)","F",0
460,0,0,0,0.415423," ","integrate(x*(b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(b g x^{8} + b f x^{7} + b e x^{6} + {\left(b d + a g\right)} x^{5} + a e x^{3} + {\left(b c + a f\right)} x^{4} + a d x^{2} + a c x\right)} \sqrt{b x^{3} + a}, x\right)"," ",0,"integral((b*g*x^8 + b*f*x^7 + b*e*x^6 + (b*d + a*g)*x^5 + a*e*x^3 + (b*c + a*f)*x^4 + a*d*x^2 + a*c*x)*sqrt(b*x^3 + a), x)","F",0
461,0,0,0,0.420442," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a), x)","F",0
462,0,0,0,0.671574," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x, x)","F",0
463,0,0,0,0.676749," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{2}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^2, x)","F",0
464,0,0,0,0.680511," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{3}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^3, x)","F",0
465,0,0,0,0.885441," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{4}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^4, x)","F",0
466,0,0,0,0.905538," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{5}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^5, x)","F",0
467,0,0,0,0.686486," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{6}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^6, x)","F",0
468,0,0,0,0.932570," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{7}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^7, x)","F",0
469,0,0,0,0.941891," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^8,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{8}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^8, x)","F",0
470,0,0,0,0.680778," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^9,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{9}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^9, x)","F",0
471,0,0,0,0.527463," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^10,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{10}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^10, x)","F",0
472,0,0,0,0.525164," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^11,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{11}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^11, x)","F",0
473,0,0,0,0.467366," ","integrate((b*x^3+a)^(3/2)*(g*x^4+f*x^3+e*x^2+d*x+c)/x^12,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x^{7} + b f x^{6} + b e x^{5} + {\left(b d + a g\right)} x^{4} + a e x^{2} + {\left(b c + a f\right)} x^{3} + a d x + a c\right)} \sqrt{b x^{3} + a}}{x^{12}}, x\right)"," ",0,"integral((b*g*x^7 + b*f*x^6 + b*e*x^5 + (b*d + a*g)*x^4 + a*e*x^2 + (b*c + a*f)*x^3 + a*d*x + a*c)*sqrt(b*x^3 + a)/x^12, x)","F",0
474,0,0,0,0.432475," ","integrate((e*x^2+d*x+c)*(b*x^3+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{2} + d x + c\right)} {\left(b x^{3} + a\right)}^{p}, x\right)"," ",0,"integral((e*x^2 + d*x + c)*(b*x^3 + a)^p, x)","F",0
475,0,0,0,0.431221," ","integrate(x*(e*x^2+d*x+c)*(b*x^3+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{3} + d x^{2} + c x\right)} {\left(b x^{3} + a\right)}^{p}, x\right)"," ",0,"integral((e*x^3 + d*x^2 + c*x)*(b*x^3 + a)^p, x)","F",0
476,0,0,0,0.415668," ","integrate(x^2*(e*x^2+d*x+c)*(b*x^3+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{4} + d x^{3} + c x^{2}\right)} {\left(b x^{3} + a\right)}^{p}, x\right)"," ",0,"integral((e*x^4 + d*x^3 + c*x^2)*(b*x^3 + a)^p, x)","F",0
477,1,54,0,0.336393," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a),x, algorithm=""fricas"")","\frac{1}{8} x^{8} f b + \frac{1}{7} x^{7} e b + \frac{1}{6} x^{6} d b + \frac{1}{5} x^{5} c b + \frac{1}{4} x^{4} f a + \frac{1}{3} x^{3} e a + \frac{1}{2} x^{2} d a + x c a"," ",0,"1/8*x^8*f*b + 1/7*x^7*e*b + 1/6*x^6*d*b + 1/5*x^5*c*b + 1/4*x^4*f*a + 1/3*x^3*e*a + 1/2*x^2*d*a + x*c*a","A",0
478,1,57,0,0.355897," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)*(b*x^4+a),x, algorithm=""fricas"")","\frac{1}{11} x^{11} f b + \frac{1}{10} x^{10} e b + \frac{1}{9} x^{9} d b + \frac{1}{8} x^{8} c b + \frac{1}{7} x^{7} f a + \frac{1}{6} x^{6} e a + \frac{1}{5} x^{5} d a + \frac{1}{4} x^{4} c a"," ",0,"1/11*x^11*f*b + 1/10*x^10*e*b + 1/9*x^9*d*b + 1/8*x^8*c*b + 1/7*x^7*f*a + 1/6*x^6*e*a + 1/5*x^5*d*a + 1/4*x^4*c*a","A",0
479,1,102,0,0.335036," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} f b^{2} + \frac{1}{11} x^{11} e b^{2} + \frac{1}{10} x^{10} d b^{2} + \frac{1}{9} x^{9} c b^{2} + \frac{1}{4} x^{8} f b a + \frac{2}{7} x^{7} e b a + \frac{1}{3} x^{6} d b a + \frac{2}{5} x^{5} c b a + \frac{1}{4} x^{4} f a^{2} + \frac{1}{3} x^{3} e a^{2} + \frac{1}{2} x^{2} d a^{2} + x c a^{2}"," ",0,"1/12*x^12*f*b^2 + 1/11*x^11*e*b^2 + 1/10*x^10*d*b^2 + 1/9*x^9*c*b^2 + 1/4*x^8*f*b*a + 2/7*x^7*e*b*a + 1/3*x^6*d*b*a + 2/5*x^5*c*b*a + 1/4*x^4*f*a^2 + 1/3*x^3*e*a^2 + 1/2*x^2*d*a^2 + x*c*a^2","A",0
480,1,105,0,0.364692," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^2,x, algorithm=""fricas"")","\frac{1}{15} x^{15} f b^{2} + \frac{1}{14} x^{14} e b^{2} + \frac{1}{13} x^{13} d b^{2} + \frac{1}{12} x^{12} c b^{2} + \frac{2}{11} x^{11} f b a + \frac{1}{5} x^{10} e b a + \frac{2}{9} x^{9} d b a + \frac{1}{4} x^{8} c b a + \frac{1}{7} x^{7} f a^{2} + \frac{1}{6} x^{6} e a^{2} + \frac{1}{5} x^{5} d a^{2} + \frac{1}{4} x^{4} c a^{2}"," ",0,"1/15*x^15*f*b^2 + 1/14*x^14*e*b^2 + 1/13*x^13*d*b^2 + 1/12*x^12*c*b^2 + 2/11*x^11*f*b*a + 1/5*x^10*e*b*a + 2/9*x^9*d*b*a + 1/4*x^8*c*b*a + 1/7*x^7*f*a^2 + 1/6*x^6*e*a^2 + 1/5*x^5*d*a^2 + 1/4*x^4*c*a^2","A",0
481,1,150,0,0.339457," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^3,x, algorithm=""fricas"")","\frac{1}{16} x^{16} f b^{3} + \frac{1}{15} x^{15} e b^{3} + \frac{1}{14} x^{14} d b^{3} + \frac{1}{13} x^{13} c b^{3} + \frac{1}{4} x^{12} f b^{2} a + \frac{3}{11} x^{11} e b^{2} a + \frac{3}{10} x^{10} d b^{2} a + \frac{1}{3} x^{9} c b^{2} a + \frac{3}{8} x^{8} f b a^{2} + \frac{3}{7} x^{7} e b a^{2} + \frac{1}{2} x^{6} d b a^{2} + \frac{3}{5} x^{5} c b a^{2} + \frac{1}{4} x^{4} f a^{3} + \frac{1}{3} x^{3} e a^{3} + \frac{1}{2} x^{2} d a^{3} + x c a^{3}"," ",0,"1/16*x^16*f*b^3 + 1/15*x^15*e*b^3 + 1/14*x^14*d*b^3 + 1/13*x^13*c*b^3 + 1/4*x^12*f*b^2*a + 3/11*x^11*e*b^2*a + 3/10*x^10*d*b^2*a + 1/3*x^9*c*b^2*a + 3/8*x^8*f*b*a^2 + 3/7*x^7*e*b*a^2 + 1/2*x^6*d*b*a^2 + 3/5*x^5*c*b*a^2 + 1/4*x^4*f*a^3 + 1/3*x^3*e*a^3 + 1/2*x^2*d*a^3 + x*c*a^3","A",0
482,1,153,0,0.345315," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^3,x, algorithm=""fricas"")","\frac{1}{19} x^{19} f b^{3} + \frac{1}{18} x^{18} e b^{3} + \frac{1}{17} x^{17} d b^{3} + \frac{1}{16} x^{16} c b^{3} + \frac{1}{5} x^{15} f b^{2} a + \frac{3}{14} x^{14} e b^{2} a + \frac{3}{13} x^{13} d b^{2} a + \frac{1}{4} x^{12} c b^{2} a + \frac{3}{11} x^{11} f b a^{2} + \frac{3}{10} x^{10} e b a^{2} + \frac{1}{3} x^{9} d b a^{2} + \frac{3}{8} x^{8} c b a^{2} + \frac{1}{7} x^{7} f a^{3} + \frac{1}{6} x^{6} e a^{3} + \frac{1}{5} x^{5} d a^{3} + \frac{1}{4} x^{4} c a^{3}"," ",0,"1/19*x^19*f*b^3 + 1/18*x^18*e*b^3 + 1/17*x^17*d*b^3 + 1/16*x^16*c*b^3 + 1/5*x^15*f*b^2*a + 3/14*x^14*e*b^2*a + 3/13*x^13*d*b^2*a + 1/4*x^12*c*b^2*a + 3/11*x^11*f*b*a^2 + 3/10*x^10*e*b*a^2 + 1/3*x^9*d*b*a^2 + 3/8*x^8*c*b*a^2 + 1/7*x^7*f*a^3 + 1/6*x^6*e*a^3 + 1/5*x^5*d*a^3 + 1/4*x^4*c*a^3","A",0
483,1,198,0,0.357226," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^4,x, algorithm=""fricas"")","\frac{1}{20} x^{20} f b^{4} + \frac{1}{19} x^{19} e b^{4} + \frac{1}{18} x^{18} d b^{4} + \frac{1}{17} x^{17} c b^{4} + \frac{1}{4} x^{16} f b^{3} a + \frac{4}{15} x^{15} e b^{3} a + \frac{2}{7} x^{14} d b^{3} a + \frac{4}{13} x^{13} c b^{3} a + \frac{1}{2} x^{12} f b^{2} a^{2} + \frac{6}{11} x^{11} e b^{2} a^{2} + \frac{3}{5} x^{10} d b^{2} a^{2} + \frac{2}{3} x^{9} c b^{2} a^{2} + \frac{1}{2} x^{8} f b a^{3} + \frac{4}{7} x^{7} e b a^{3} + \frac{2}{3} x^{6} d b a^{3} + \frac{4}{5} x^{5} c b a^{3} + \frac{1}{4} x^{4} f a^{4} + \frac{1}{3} x^{3} e a^{4} + \frac{1}{2} x^{2} d a^{4} + x c a^{4}"," ",0,"1/20*x^20*f*b^4 + 1/19*x^19*e*b^4 + 1/18*x^18*d*b^4 + 1/17*x^17*c*b^4 + 1/4*x^16*f*b^3*a + 4/15*x^15*e*b^3*a + 2/7*x^14*d*b^3*a + 4/13*x^13*c*b^3*a + 1/2*x^12*f*b^2*a^2 + 6/11*x^11*e*b^2*a^2 + 3/5*x^10*d*b^2*a^2 + 2/3*x^9*c*b^2*a^2 + 1/2*x^8*f*b*a^3 + 4/7*x^7*e*b*a^3 + 2/3*x^6*d*b*a^3 + 4/5*x^5*c*b*a^3 + 1/4*x^4*f*a^4 + 1/3*x^3*e*a^4 + 1/2*x^2*d*a^4 + x*c*a^4","A",0
484,1,201,0,0.374778," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^4,x, algorithm=""fricas"")","\frac{1}{23} x^{23} f b^{4} + \frac{1}{22} x^{22} e b^{4} + \frac{1}{21} x^{21} d b^{4} + \frac{1}{20} x^{20} c b^{4} + \frac{4}{19} x^{19} f b^{3} a + \frac{2}{9} x^{18} e b^{3} a + \frac{4}{17} x^{17} d b^{3} a + \frac{1}{4} x^{16} c b^{3} a + \frac{2}{5} x^{15} f b^{2} a^{2} + \frac{3}{7} x^{14} e b^{2} a^{2} + \frac{6}{13} x^{13} d b^{2} a^{2} + \frac{1}{2} x^{12} c b^{2} a^{2} + \frac{4}{11} x^{11} f b a^{3} + \frac{2}{5} x^{10} e b a^{3} + \frac{4}{9} x^{9} d b a^{3} + \frac{1}{2} x^{8} c b a^{3} + \frac{1}{7} x^{7} f a^{4} + \frac{1}{6} x^{6} e a^{4} + \frac{1}{5} x^{5} d a^{4} + \frac{1}{4} x^{4} c a^{4}"," ",0,"1/23*x^23*f*b^4 + 1/22*x^22*e*b^4 + 1/21*x^21*d*b^4 + 1/20*x^20*c*b^4 + 4/19*x^19*f*b^3*a + 2/9*x^18*e*b^3*a + 4/17*x^17*d*b^3*a + 1/4*x^16*c*b^3*a + 2/5*x^15*f*b^2*a^2 + 3/7*x^14*e*b^2*a^2 + 6/13*x^13*d*b^2*a^2 + 1/2*x^12*c*b^2*a^2 + 4/11*x^11*f*b*a^3 + 2/5*x^10*e*b*a^3 + 4/9*x^9*d*b*a^3 + 1/2*x^8*c*b*a^3 + 1/7*x^7*f*a^4 + 1/6*x^6*e*a^4 + 1/5*x^5*d*a^4 + 1/4*x^4*c*a^4","A",0
485,-1,0,0,0.000000," ","integrate((f*x^3+e*x^2+d*x+c)/(-b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
486,-1,0,0,0.000000," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)/(-b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
487,-1,0,0,0.000000," ","integrate((f*x^3+e*x^2+d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
488,-1,0,0,0.000000," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
489,-1,0,0,0.000000," ","integrate((f*x^3+e*x^2+d*x+c)/(b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
490,-1,0,0,0.000000," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
491,-1,0,0,0.000000," ","integrate((f*x^3+e*x^2+d*x+c)/(b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
492,-1,0,0,0.000000," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
493,-1,0,0,0.000000," ","integrate((f*x^3+e*x^2+d*x+c)/(b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
494,-1,0,0,0.000000," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
495,0,0,0,0.491910," ","integrate(x^4*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(f x^{7} + e x^{6} + d x^{5} + c x^{4}\right)} \sqrt{b x^{4} + a}, x\right)"," ",0,"integral((f*x^7 + e*x^6 + d*x^5 + c*x^4)*sqrt(b*x^4 + a), x)","F",0
496,0,0,0,0.467764," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(f x^{6} + e x^{5} + d x^{4} + c x^{3}\right)} \sqrt{b x^{4} + a}, x\right)"," ",0,"integral((f*x^6 + e*x^5 + d*x^4 + c*x^3)*sqrt(b*x^4 + a), x)","F",0
497,0,0,0,0.473331," ","integrate(x^2*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(f x^{5} + e x^{4} + d x^{3} + c x^{2}\right)} \sqrt{b x^{4} + a}, x\right)"," ",0,"integral((f*x^5 + e*x^4 + d*x^3 + c*x^2)*sqrt(b*x^4 + a), x)","F",0
498,0,0,0,0.474572," ","integrate(x*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{4} + a} {\left(f x^{4} + e x^{3} + d x^{2} + c x\right)}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^4 + e*x^3 + d*x^2 + c*x), x)","F",0
499,0,0,0,0.471709," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c), x)","F",0
500,0,0,0,0.701451," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{x}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/x, x)","F",0
501,0,0,0,0.684854," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/x^2, x)","F",0
502,0,0,0,0.689262," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/x^3, x)","F",0
503,0,0,0,0.693390," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/x^4, x)","F",0
504,0,0,0,0.724538," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{x^{5}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/x^5, x)","F",0
505,0,0,0,0.724915," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{x^{6}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/x^6, x)","F",0
506,0,0,0,0.491175," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2)/x^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{x^{7}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/x^7, x)","F",0
507,0,0,0,0.481899," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2)/x^8,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{x^{8}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/x^8, x)","F",0
508,0,0,0,0.481279," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2)/x^9,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{x^{9}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/x^9, x)","F",0
509,0,0,0,0.482094," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(1/2)/x^10,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{x^{10}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/x^10, x)","F",0
510,0,0,0,0.482532," ","integrate(x^4*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b f x^{11} + b e x^{10} + b d x^{9} + b c x^{8} + a f x^{7} + a e x^{6} + a d x^{5} + a c x^{4}\right)} \sqrt{b x^{4} + a}, x\right)"," ",0,"integral((b*f*x^11 + b*e*x^10 + b*d*x^9 + b*c*x^8 + a*f*x^7 + a*e*x^6 + a*d*x^5 + a*c*x^4)*sqrt(b*x^4 + a), x)","F",0
511,0,0,0,0.470576," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b f x^{10} + b e x^{9} + b d x^{8} + b c x^{7} + a f x^{6} + a e x^{5} + a d x^{4} + a c x^{3}\right)} \sqrt{b x^{4} + a}, x\right)"," ",0,"integral((b*f*x^10 + b*e*x^9 + b*d*x^8 + b*c*x^7 + a*f*x^6 + a*e*x^5 + a*d*x^4 + a*c*x^3)*sqrt(b*x^4 + a), x)","F",0
512,0,0,0,0.466459," ","integrate(x^2*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b f x^{9} + b e x^{8} + b d x^{7} + b c x^{6} + a f x^{5} + a e x^{4} + a d x^{3} + a c x^{2}\right)} \sqrt{b x^{4} + a}, x\right)"," ",0,"integral((b*f*x^9 + b*e*x^8 + b*d*x^7 + b*c*x^6 + a*f*x^5 + a*e*x^4 + a*d*x^3 + a*c*x^2)*sqrt(b*x^4 + a), x)","F",0
513,0,0,0,0.475991," ","integrate(x*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b f x^{8} + b e x^{7} + b d x^{6} + b c x^{5} + a f x^{4} + a e x^{3} + a d x^{2} + a c x\right)} \sqrt{b x^{4} + a}, x\right)"," ",0,"integral((b*f*x^8 + b*e*x^7 + b*d*x^6 + b*c*x^5 + a*f*x^4 + a*e*x^3 + a*d*x^2 + a*c*x)*sqrt(b*x^4 + a), x)","F",0
514,0,0,0,0.479378," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a), x)","F",0
515,0,0,0,0.715336," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x, x)","F",0
516,0,0,0,0.721309," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{2}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^2, x)","F",0
517,0,0,0,0.709289," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{3}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^3, x)","F",0
518,0,0,0,0.721386," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{4}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^4, x)","F",0
519,0,0,0,0.745212," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{5}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^5, x)","F",0
520,0,0,0,0.740695," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{6}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^6, x)","F",0
521,0,0,0,0.765384," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{7}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^7, x)","F",0
522,0,0,0,0.720618," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^8,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{8}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^8, x)","F",0
523,0,0,0,0.749053," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^9,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{9}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^9, x)","F",0
524,0,0,0,0.755726," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^10,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{10}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^10, x)","F",0
525,0,0,0,0.470438," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^11,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{11}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^11, x)","F",0
526,0,0,0,0.473029," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^12,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{12}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^12, x)","F",0
527,0,0,0,0.475560," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^13,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{13}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^13, x)","F",0
528,0,0,0,0.472596," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^(3/2)/x^14,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b f x^{7} + b e x^{6} + b d x^{5} + b c x^{4} + a f x^{3} + a e x^{2} + a d x + a c\right)} \sqrt{b x^{4} + a}}{x^{14}}, x\right)"," ",0,"integral((b*f*x^7 + b*e*x^6 + b*d*x^5 + b*c*x^4 + a*f*x^3 + a*e*x^2 + a*d*x + a*c)*sqrt(b*x^4 + a)/x^14, x)","F",0
529,0,0,0,0.467062," ","integrate(x^4*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{f x^{7} + e x^{6} + d x^{5} + c x^{4}}{\sqrt{b x^{4} + a}}, x\right)"," ",0,"integral((f*x^7 + e*x^6 + d*x^5 + c*x^4)/sqrt(b*x^4 + a), x)","F",0
530,0,0,0,0.479376," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{f x^{6} + e x^{5} + d x^{4} + c x^{3}}{\sqrt{b x^{4} + a}}, x\right)"," ",0,"integral((f*x^6 + e*x^5 + d*x^4 + c*x^3)/sqrt(b*x^4 + a), x)","F",0
531,0,0,0,0.480665," ","integrate(x^2*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{f x^{5} + e x^{4} + d x^{3} + c x^{2}}{\sqrt{b x^{4} + a}}, x\right)"," ",0,"integral((f*x^5 + e*x^4 + d*x^3 + c*x^2)/sqrt(b*x^4 + a), x)","F",0
532,0,0,0,0.461296," ","integrate(x*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{f x^{4} + e x^{3} + d x^{2} + c x}{\sqrt{b x^{4} + a}}, x\right)"," ",0,"integral((f*x^4 + e*x^3 + d*x^2 + c*x)/sqrt(b*x^4 + a), x)","F",0
533,0,0,0,0.464123," ","integrate((f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{f x^{3} + e x^{2} + d x + c}{\sqrt{b x^{4} + a}}, x\right)"," ",0,"integral((f*x^3 + e*x^2 + d*x + c)/sqrt(b*x^4 + a), x)","F",0
534,0,0,0,0.673107," ","integrate((f*x^3+e*x^2+d*x+c)/x/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b x^{5} + a x}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b*x^5 + a*x), x)","F",0
535,0,0,0,0.665039," ","integrate((f*x^3+e*x^2+d*x+c)/x^2/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b x^{6} + a x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b*x^6 + a*x^2), x)","F",0
536,0,0,0,0.460789," ","integrate((f*x^3+e*x^2+d*x+c)/x^3/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b x^{7} + a x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b*x^7 + a*x^3), x)","F",0
537,0,0,0,0.470011," ","integrate((f*x^3+e*x^2+d*x+c)/x^4/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b x^{8} + a x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b*x^8 + a*x^4), x)","F",0
538,0,0,0,0.468596," ","integrate((f*x^3+e*x^2+d*x+c)/x^5/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b x^{9} + a x^{5}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b*x^9 + a*x^5), x)","F",0
539,0,0,0,0.466790," ","integrate((f*x^3+e*x^2+d*x+c)/x^6/(b*x^4+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b x^{10} + a x^{6}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b*x^10 + a*x^6), x)","F",0
540,0,0,0,0.476351," ","integrate(x^6*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(f x^{9} + e x^{8} + d x^{7} + c x^{6}\right)} \sqrt{b x^{4} + a}}{b^{2} x^{8} + 2 \, a b x^{4} + a^{2}}, x\right)"," ",0,"integral((f*x^9 + e*x^8 + d*x^7 + c*x^6)*sqrt(b*x^4 + a)/(b^2*x^8 + 2*a*b*x^4 + a^2), x)","F",0
541,0,0,0,0.476201," ","integrate(x^5*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(f x^{8} + e x^{7} + d x^{6} + c x^{5}\right)} \sqrt{b x^{4} + a}}{b^{2} x^{8} + 2 \, a b x^{4} + a^{2}}, x\right)"," ",0,"integral((f*x^8 + e*x^7 + d*x^6 + c*x^5)*sqrt(b*x^4 + a)/(b^2*x^8 + 2*a*b*x^4 + a^2), x)","F",0
542,0,0,0,0.468769," ","integrate(x^4*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(f x^{7} + e x^{6} + d x^{5} + c x^{4}\right)} \sqrt{b x^{4} + a}}{b^{2} x^{8} + 2 \, a b x^{4} + a^{2}}, x\right)"," ",0,"integral((f*x^7 + e*x^6 + d*x^5 + c*x^4)*sqrt(b*x^4 + a)/(b^2*x^8 + 2*a*b*x^4 + a^2), x)","F",0
543,0,0,0,0.473777," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(f x^{6} + e x^{5} + d x^{4} + c x^{3}\right)} \sqrt{b x^{4} + a}}{b^{2} x^{8} + 2 \, a b x^{4} + a^{2}}, x\right)"," ",0,"integral((f*x^6 + e*x^5 + d*x^4 + c*x^3)*sqrt(b*x^4 + a)/(b^2*x^8 + 2*a*b*x^4 + a^2), x)","F",0
544,0,0,0,0.464668," ","integrate(x^2*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(f x^{5} + e x^{4} + d x^{3} + c x^{2}\right)} \sqrt{b x^{4} + a}}{b^{2} x^{8} + 2 \, a b x^{4} + a^{2}}, x\right)"," ",0,"integral((f*x^5 + e*x^4 + d*x^3 + c*x^2)*sqrt(b*x^4 + a)/(b^2*x^8 + 2*a*b*x^4 + a^2), x)","F",0
545,0,0,0,0.424725," ","integrate(x*(f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{4} + e x^{3} + d x^{2} + c x\right)}}{b^{2} x^{8} + 2 \, a b x^{4} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^4 + e*x^3 + d*x^2 + c*x)/(b^2*x^8 + 2*a*b*x^4 + a^2), x)","F",0
546,0,0,0,0.404292," ","integrate((f*x^3+e*x^2+d*x+c)/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b^{2} x^{8} + 2 \, a b x^{4} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b^2*x^8 + 2*a*b*x^4 + a^2), x)","F",0
547,0,0,0,0.471511," ","integrate((f*x^3+e*x^2+d*x+c)/x/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b^{2} x^{9} + 2 \, a b x^{5} + a^{2} x}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b^2*x^9 + 2*a*b*x^5 + a^2*x), x)","F",0
548,0,0,0,0.468946," ","integrate((f*x^3+e*x^2+d*x+c)/x^2/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b^{2} x^{10} + 2 \, a b x^{6} + a^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b^2*x^10 + 2*a*b*x^6 + a^2*x^2), x)","F",0
549,0,0,0,0.476547," ","integrate((f*x^3+e*x^2+d*x+c)/x^3/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b^{2} x^{11} + 2 \, a b x^{7} + a^{2} x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b^2*x^11 + 2*a*b*x^7 + a^2*x^3), x)","F",0
550,0,0,0,0.460403," ","integrate((f*x^3+e*x^2+d*x+c)/x^4/(b*x^4+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a} {\left(f x^{3} + e x^{2} + d x + c\right)}}{b^{2} x^{12} + 2 \, a b x^{8} + a^{2} x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a)*(f*x^3 + e*x^2 + d*x + c)/(b^2*x^12 + 2*a*b*x^8 + a^2*x^4), x)","F",0
551,0,0,0,0.432246," ","integrate((g*x)^m*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(f x^{3} + e x^{2} + d x + c\right)} {\left(b x^{4} + a\right)}^{p} \left(g x\right)^{m}, x\right)"," ",0,"integral((f*x^3 + e*x^2 + d*x + c)*(b*x^4 + a)^p*(g*x)^m, x)","F",0
552,0,0,0,0.414859," ","integrate((f*x^3+e*x^2+d*x+c)*(b*x^4+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(f x^{3} + e x^{2} + d x + c\right)} {\left(b x^{4} + a\right)}^{p}, x\right)"," ",0,"integral((f*x^3 + e*x^2 + d*x + c)*(b*x^4 + a)^p, x)","F",0
553,0,0,0,0.424186," ","integrate(x^3*(f*x^3+e*x^2+d*x+c)*(b*x^4+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(f x^{6} + e x^{5} + d x^{4} + c x^{3}\right)} {\left(b x^{4} + a\right)}^{p}, x\right)"," ",0,"integral((f*x^6 + e*x^5 + d*x^4 + c*x^3)*(b*x^4 + a)^p, x)","F",0
554,1,6,0,0.407043," ","integrate((x^4+x^3+x^2+x+1)/(-x^5+1),x, algorithm=""fricas"")","-\log\left(x - 1\right)"," ",0,"-log(x - 1)","A",0
555,1,8,0,0.394832," ","integrate((-32*x^5+48*x^4-72*x^3+108*x^2-162*x+243)/(-64*x^6+729),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(2 \, x + 3\right)"," ",0,"1/2*log(2*x + 3)","A",0
556,1,8,0,0.381381," ","integrate((32*x^5+48*x^4+72*x^3+108*x^2+162*x+243)/(-64*x^6+729),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(2 \, x - 3\right)"," ",0,"-1/2*log(2*x - 3)","A",0
557,1,17,0,0.396847," ","integrate((16*x^4+36*x^2+81)/(-64*x^6+729),x, algorithm=""fricas"")","\frac{1}{12} \, \log\left(2 \, x + 3\right) - \frac{1}{12} \, \log\left(2 \, x - 3\right)"," ",0,"1/12*log(2*x + 3) - 1/12*log(2*x - 3)","B",0
558,1,16,0,0.378720," ","integrate((-16*x^4-24*x^3+54*x+81)/(-64*x^6+729),x, algorithm=""fricas"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right)"," ",0,"1/9*sqrt(3)*arctan(1/9*sqrt(3)*(4*x - 3))","A",0
559,1,38,0,0.411697," ","integrate((3-2*x)/(-64*x^6+729),x, algorithm=""fricas"")","\frac{1}{486} \, \sqrt{3} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) - \frac{1}{972} \, \log\left(4 \, x^{2} - 6 \, x + 9\right) + \frac{1}{486} \, \log\left(2 \, x + 3\right)"," ",0,"1/486*sqrt(3)*arctan(1/9*sqrt(3)*(4*x + 3)) - 1/972*log(4*x^2 - 6*x + 9) + 1/486*log(2*x + 3)","A",0
560,1,38,0,0.407555," ","integrate((3+2*x)/(-64*x^6+729),x, algorithm=""fricas"")","\frac{1}{486} \, \sqrt{3} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) + \frac{1}{972} \, \log\left(4 \, x^{2} + 6 \, x + 9\right) - \frac{1}{486} \, \log\left(2 \, x - 3\right)"," ",0,"1/486*sqrt(3)*arctan(1/9*sqrt(3)*(4*x - 3)) + 1/972*log(4*x^2 + 6*x + 9) - 1/486*log(2*x - 3)","A",0
561,1,46,0,0.417811," ","integrate((4*x^2-6*x+9)/(-64*x^6+729),x, algorithm=""fricas"")","\frac{1}{162} \, \sqrt{3} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) - \frac{1}{324} \, \log\left(4 \, x^{2} + 6 \, x + 9\right) + \frac{1}{108} \, \log\left(2 \, x + 3\right) - \frac{1}{324} \, \log\left(2 \, x - 3\right)"," ",0,"1/162*sqrt(3)*arctan(1/9*sqrt(3)*(4*x + 3)) - 1/324*log(4*x^2 + 6*x + 9) + 1/108*log(2*x + 3) - 1/324*log(2*x - 3)","A",0
562,1,46,0,0.407993," ","integrate((4*x^2+6*x+9)/(-64*x^6+729),x, algorithm=""fricas"")","\frac{1}{162} \, \sqrt{3} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) + \frac{1}{324} \, \log\left(4 \, x^{2} - 6 \, x + 9\right) + \frac{1}{324} \, \log\left(2 \, x + 3\right) - \frac{1}{108} \, \log\left(2 \, x - 3\right)"," ",0,"1/162*sqrt(3)*arctan(1/9*sqrt(3)*(4*x - 3)) + 1/324*log(4*x^2 - 6*x + 9) + 1/324*log(2*x + 3) - 1/108*log(2*x - 3)","A",0
563,1,38,0,0.405938," ","integrate((-8*x^3+27)/(-64*x^6+729),x, algorithm=""fricas"")","\frac{1}{54} \, \sqrt{3} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) - \frac{1}{108} \, \log\left(4 \, x^{2} - 6 \, x + 9\right) + \frac{1}{54} \, \log\left(2 \, x + 3\right)"," ",0,"1/54*sqrt(3)*arctan(1/9*sqrt(3)*(4*x - 3)) - 1/108*log(4*x^2 - 6*x + 9) + 1/54*log(2*x + 3)","A",0
564,1,38,0,0.406640," ","integrate((8*x^3+24*x^2+36*x+27)/(-64*x^6+729),x, algorithm=""fricas"")","\frac{1}{54} \, \sqrt{3} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) + \frac{1}{36} \, \log\left(4 \, x^{2} - 6 \, x + 9\right) - \frac{1}{18} \, \log\left(2 \, x - 3\right)"," ",0,"1/54*sqrt(3)*arctan(1/9*sqrt(3)*(4*x - 3)) + 1/36*log(4*x^2 - 6*x + 9) - 1/18*log(2*x - 3)","A",0
565,1,115,0,0.408350," ","integrate((-32*x^5+48*x^4-72*x^3+108*x^2-162*x+243)/(-64*x^6+729)^2,x, algorithm=""fricas"")","\frac{6 \, \sqrt{3} {\left(2 \, x + 3\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) + 2 \, \sqrt{3} {\left(2 \, x + 3\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) - 3 \, {\left(2 \, x + 3\right)} \log\left(4 \, x^{2} + 6 \, x + 9\right) - 3 \, {\left(2 \, x + 3\right)} \log\left(4 \, x^{2} - 6 \, x + 9\right) + 15 \, {\left(2 \, x + 3\right)} \log\left(2 \, x + 3\right) - 3 \, {\left(2 \, x + 3\right)} \log\left(2 \, x - 3\right) - 18}{52488 \, {\left(2 \, x + 3\right)}}"," ",0,"1/52488*(6*sqrt(3)*(2*x + 3)*arctan(1/9*sqrt(3)*(4*x + 3)) + 2*sqrt(3)*(2*x + 3)*arctan(1/9*sqrt(3)*(4*x - 3)) - 3*(2*x + 3)*log(4*x^2 + 6*x + 9) - 3*(2*x + 3)*log(4*x^2 - 6*x + 9) + 15*(2*x + 3)*log(2*x + 3) - 3*(2*x + 3)*log(2*x - 3) - 18)/(2*x + 3)","A",0
566,1,115,0,0.405227," ","integrate((32*x^5+48*x^4+72*x^3+108*x^2+162*x+243)/(-64*x^6+729)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(2 \, x - 3\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) + 6 \, \sqrt{3} {\left(2 \, x - 3\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) + 3 \, {\left(2 \, x - 3\right)} \log\left(4 \, x^{2} + 6 \, x + 9\right) + 3 \, {\left(2 \, x - 3\right)} \log\left(4 \, x^{2} - 6 \, x + 9\right) + 3 \, {\left(2 \, x - 3\right)} \log\left(2 \, x + 3\right) - 15 \, {\left(2 \, x - 3\right)} \log\left(2 \, x - 3\right) - 18}{52488 \, {\left(2 \, x - 3\right)}}"," ",0,"1/52488*(2*sqrt(3)*(2*x - 3)*arctan(1/9*sqrt(3)*(4*x + 3)) + 6*sqrt(3)*(2*x - 3)*arctan(1/9*sqrt(3)*(4*x - 3)) + 3*(2*x - 3)*log(4*x^2 + 6*x + 9) + 3*(2*x - 3)*log(4*x^2 - 6*x + 9) + 3*(2*x - 3)*log(2*x + 3) - 15*(2*x - 3)*log(2*x - 3) - 18)/(2*x - 3)","A",0
567,1,91,0,0.398200," ","integrate((16*x^4+36*x^2+81)/(-64*x^6+729)^2,x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} {\left(4 \, x^{2} - 9\right)} \arctan\left(\frac{4}{81} \, \sqrt{3} {\left(2 \, x^{3} + 9 \, x\right)}\right) + 4 \, \sqrt{3} {\left(4 \, x^{2} - 9\right)} \arctan\left(\frac{2}{9} \, \sqrt{3} x\right) + 9 \, {\left(4 \, x^{2} - 9\right)} \log\left(2 \, x + 3\right) - 9 \, {\left(4 \, x^{2} - 9\right)} \log\left(2 \, x - 3\right) - 36 \, x}{157464 \, {\left(4 \, x^{2} - 9\right)}}"," ",0,"1/157464*(4*sqrt(3)*(4*x^2 - 9)*arctan(4/81*sqrt(3)*(2*x^3 + 9*x)) + 4*sqrt(3)*(4*x^2 - 9)*arctan(2/9*sqrt(3)*x) + 9*(4*x^2 - 9)*log(2*x + 3) - 9*(4*x^2 - 9)*log(2*x - 3) - 36*x)/(4*x^2 - 9)","A",0
568,1,126,0,0.403334," ","integrate((-16*x^4-24*x^3+54*x+81)/(-64*x^6+729)^2,x, algorithm=""fricas"")","\frac{12 \, \sqrt{3} {\left(4 \, x^{2} - 6 \, x + 9\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) + 3 \, {\left(4 \, x^{2} - 6 \, x + 9\right)} \log\left(4 \, x^{2} + 6 \, x + 9\right) - {\left(4 \, x^{2} - 6 \, x + 9\right)} \log\left(4 \, x^{2} - 6 \, x + 9\right) + 2 \, {\left(4 \, x^{2} - 6 \, x + 9\right)} \log\left(2 \, x + 3\right) - 6 \, {\left(4 \, x^{2} - 6 \, x + 9\right)} \log\left(2 \, x - 3\right) + 36 \, x}{157464 \, {\left(4 \, x^{2} - 6 \, x + 9\right)}}"," ",0,"1/157464*(12*sqrt(3)*(4*x^2 - 6*x + 9)*arctan(1/9*sqrt(3)*(4*x - 3)) + 3*(4*x^2 - 6*x + 9)*log(4*x^2 + 6*x + 9) - (4*x^2 - 6*x + 9)*log(4*x^2 - 6*x + 9) + 2*(4*x^2 - 6*x + 9)*log(2*x + 3) - 6*(4*x^2 - 6*x + 9)*log(2*x - 3) + 36*x)/(4*x^2 - 6*x + 9)","A",0
569,1,256,0,0.415724," ","integrate((3-2*x)/(-64*x^6+729)^2,x, algorithm=""fricas"")","\frac{18 \, \sqrt{3} {\left(32 \, x^{5} + 48 \, x^{4} + 72 \, x^{3} + 108 \, x^{2} + 162 \, x + 243\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) + 2 \, \sqrt{3} {\left(32 \, x^{5} + 48 \, x^{4} + 72 \, x^{3} + 108 \, x^{2} + 162 \, x + 243\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) + {\left(32 \, x^{5} + 48 \, x^{4} + 72 \, x^{3} + 108 \, x^{2} + 162 \, x + 243\right)} \log\left(4 \, x^{2} + 6 \, x + 9\right) - 9 \, {\left(32 \, x^{5} + 48 \, x^{4} + 72 \, x^{3} + 108 \, x^{2} + 162 \, x + 243\right)} \log\left(4 \, x^{2} - 6 \, x + 9\right) + 18 \, {\left(32 \, x^{5} + 48 \, x^{4} + 72 \, x^{3} + 108 \, x^{2} + 162 \, x + 243\right)} \log\left(2 \, x + 3\right) - 2 \, {\left(32 \, x^{5} + 48 \, x^{4} + 72 \, x^{3} + 108 \, x^{2} + 162 \, x + 243\right)} \log\left(2 \, x - 3\right) + 1944 \, x}{8503056 \, {\left(32 \, x^{5} + 48 \, x^{4} + 72 \, x^{3} + 108 \, x^{2} + 162 \, x + 243\right)}}"," ",0,"1/8503056*(18*sqrt(3)*(32*x^5 + 48*x^4 + 72*x^3 + 108*x^2 + 162*x + 243)*arctan(1/9*sqrt(3)*(4*x + 3)) + 2*sqrt(3)*(32*x^5 + 48*x^4 + 72*x^3 + 108*x^2 + 162*x + 243)*arctan(1/9*sqrt(3)*(4*x - 3)) + (32*x^5 + 48*x^4 + 72*x^3 + 108*x^2 + 162*x + 243)*log(4*x^2 + 6*x + 9) - 9*(32*x^5 + 48*x^4 + 72*x^3 + 108*x^2 + 162*x + 243)*log(4*x^2 - 6*x + 9) + 18*(32*x^5 + 48*x^4 + 72*x^3 + 108*x^2 + 162*x + 243)*log(2*x + 3) - 2*(32*x^5 + 48*x^4 + 72*x^3 + 108*x^2 + 162*x + 243)*log(2*x - 3) + 1944*x)/(32*x^5 + 48*x^4 + 72*x^3 + 108*x^2 + 162*x + 243)","B",0
570,1,257,0,0.413021," ","integrate((3+2*x)/(-64*x^6+729)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(32 \, x^{5} - 48 \, x^{4} + 72 \, x^{3} - 108 \, x^{2} + 162 \, x - 243\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) + 18 \, \sqrt{3} {\left(32 \, x^{5} - 48 \, x^{4} + 72 \, x^{3} - 108 \, x^{2} + 162 \, x - 243\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) + 9 \, {\left(32 \, x^{5} - 48 \, x^{4} + 72 \, x^{3} - 108 \, x^{2} + 162 \, x - 243\right)} \log\left(4 \, x^{2} + 6 \, x + 9\right) - {\left(32 \, x^{5} - 48 \, x^{4} + 72 \, x^{3} - 108 \, x^{2} + 162 \, x - 243\right)} \log\left(4 \, x^{2} - 6 \, x + 9\right) + 2 \, {\left(32 \, x^{5} - 48 \, x^{4} + 72 \, x^{3} - 108 \, x^{2} + 162 \, x - 243\right)} \log\left(2 \, x + 3\right) - 18 \, {\left(32 \, x^{5} - 48 \, x^{4} + 72 \, x^{3} - 108 \, x^{2} + 162 \, x - 243\right)} \log\left(2 \, x - 3\right) - 1944 \, x}{8503056 \, {\left(32 \, x^{5} - 48 \, x^{4} + 72 \, x^{3} - 108 \, x^{2} + 162 \, x - 243\right)}}"," ",0,"1/8503056*(2*sqrt(3)*(32*x^5 - 48*x^4 + 72*x^3 - 108*x^2 + 162*x - 243)*arctan(1/9*sqrt(3)*(4*x + 3)) + 18*sqrt(3)*(32*x^5 - 48*x^4 + 72*x^3 - 108*x^2 + 162*x - 243)*arctan(1/9*sqrt(3)*(4*x - 3)) + 9*(32*x^5 - 48*x^4 + 72*x^3 - 108*x^2 + 162*x - 243)*log(4*x^2 + 6*x + 9) - (32*x^5 - 48*x^4 + 72*x^3 - 108*x^2 + 162*x - 243)*log(4*x^2 - 6*x + 9) + 2*(32*x^5 - 48*x^4 + 72*x^3 - 108*x^2 + 162*x - 243)*log(2*x + 3) - 18*(32*x^5 - 48*x^4 + 72*x^3 - 108*x^2 + 162*x - 243)*log(2*x - 3) - 1944*x)/(32*x^5 - 48*x^4 + 72*x^3 - 108*x^2 + 162*x - 243)","B",0
571,1,187,0,0.407281," ","integrate((4*x^2-6*x+9)/(-64*x^6+729)^2,x, algorithm=""fricas"")","\frac{18 \, \sqrt{3} {\left(16 \, x^{4} + 24 \, x^{3} - 54 \, x - 81\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) + 2 \, \sqrt{3} {\left(16 \, x^{4} + 24 \, x^{3} - 54 \, x - 81\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) - 5 \, {\left(16 \, x^{4} + 24 \, x^{3} - 54 \, x - 81\right)} \log\left(4 \, x^{2} + 6 \, x + 9\right) - 3 \, {\left(16 \, x^{4} + 24 \, x^{3} - 54 \, x - 81\right)} \log\left(4 \, x^{2} - 6 \, x + 9\right) + 24 \, {\left(16 \, x^{4} + 24 \, x^{3} - 54 \, x - 81\right)} \log\left(2 \, x + 3\right) - 8 \, {\left(16 \, x^{4} + 24 \, x^{3} - 54 \, x - 81\right)} \log\left(2 \, x - 3\right) - 648 \, x}{2834352 \, {\left(16 \, x^{4} + 24 \, x^{3} - 54 \, x - 81\right)}}"," ",0,"1/2834352*(18*sqrt(3)*(16*x^4 + 24*x^3 - 54*x - 81)*arctan(1/9*sqrt(3)*(4*x + 3)) + 2*sqrt(3)*(16*x^4 + 24*x^3 - 54*x - 81)*arctan(1/9*sqrt(3)*(4*x - 3)) - 5*(16*x^4 + 24*x^3 - 54*x - 81)*log(4*x^2 + 6*x + 9) - 3*(16*x^4 + 24*x^3 - 54*x - 81)*log(4*x^2 - 6*x + 9) + 24*(16*x^4 + 24*x^3 - 54*x - 81)*log(2*x + 3) - 8*(16*x^4 + 24*x^3 - 54*x - 81)*log(2*x - 3) - 648*x)/(16*x^4 + 24*x^3 - 54*x - 81)","A",0
572,1,187,0,0.419698," ","integrate((4*x^2+6*x+9)/(-64*x^6+729)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(16 \, x^{4} - 24 \, x^{3} + 54 \, x - 81\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) + 18 \, \sqrt{3} {\left(16 \, x^{4} - 24 \, x^{3} + 54 \, x - 81\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) + 3 \, {\left(16 \, x^{4} - 24 \, x^{3} + 54 \, x - 81\right)} \log\left(4 \, x^{2} + 6 \, x + 9\right) + 5 \, {\left(16 \, x^{4} - 24 \, x^{3} + 54 \, x - 81\right)} \log\left(4 \, x^{2} - 6 \, x + 9\right) + 8 \, {\left(16 \, x^{4} - 24 \, x^{3} + 54 \, x - 81\right)} \log\left(2 \, x + 3\right) - 24 \, {\left(16 \, x^{4} - 24 \, x^{3} + 54 \, x - 81\right)} \log\left(2 \, x - 3\right) - 648 \, x}{2834352 \, {\left(16 \, x^{4} - 24 \, x^{3} + 54 \, x - 81\right)}}"," ",0,"1/2834352*(2*sqrt(3)*(16*x^4 - 24*x^3 + 54*x - 81)*arctan(1/9*sqrt(3)*(4*x + 3)) + 18*sqrt(3)*(16*x^4 - 24*x^3 + 54*x - 81)*arctan(1/9*sqrt(3)*(4*x - 3)) + 3*(16*x^4 - 24*x^3 + 54*x - 81)*log(4*x^2 + 6*x + 9) + 5*(16*x^4 - 24*x^3 + 54*x - 81)*log(4*x^2 - 6*x + 9) + 8*(16*x^4 - 24*x^3 + 54*x - 81)*log(2*x + 3) - 24*(16*x^4 - 24*x^3 + 54*x - 81)*log(2*x - 3) - 648*x)/(16*x^4 - 24*x^3 + 54*x - 81)","A",0
573,1,131,0,0.414135," ","integrate((-8*x^3+27)/(-64*x^6+729)^2,x, algorithm=""fricas"")","\frac{6 \, \sqrt{3} {\left(8 \, x^{3} + 27\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) + 14 \, \sqrt{3} {\left(8 \, x^{3} + 27\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) + 3 \, {\left(8 \, x^{3} + 27\right)} \log\left(4 \, x^{2} + 6 \, x + 9\right) - 7 \, {\left(8 \, x^{3} + 27\right)} \log\left(4 \, x^{2} - 6 \, x + 9\right) + 14 \, {\left(8 \, x^{3} + 27\right)} \log\left(2 \, x + 3\right) - 6 \, {\left(8 \, x^{3} + 27\right)} \log\left(2 \, x - 3\right) + 216 \, x}{944784 \, {\left(8 \, x^{3} + 27\right)}}"," ",0,"1/944784*(6*sqrt(3)*(8*x^3 + 27)*arctan(1/9*sqrt(3)*(4*x + 3)) + 14*sqrt(3)*(8*x^3 + 27)*arctan(1/9*sqrt(3)*(4*x - 3)) + 3*(8*x^3 + 27)*log(4*x^2 + 6*x + 9) - 7*(8*x^3 + 27)*log(4*x^2 - 6*x + 9) + 14*(8*x^3 + 27)*log(2*x + 3) - 6*(8*x^3 + 27)*log(2*x - 3) + 216*x)/(8*x^3 + 27)","A",0
574,1,187,0,0.413423," ","integrate((8*x^3+24*x^2+36*x+27)/(-64*x^6+729)^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(8 \, x^{3} - 24 \, x^{2} + 36 \, x - 27\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) - 22 \, \sqrt{3} {\left(8 \, x^{3} - 24 \, x^{2} + 36 \, x - 27\right)} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) - 3 \, {\left(8 \, x^{3} - 24 \, x^{2} + 36 \, x - 27\right)} \log\left(4 \, x^{2} + 6 \, x + 9\right) - 17 \, {\left(8 \, x^{3} - 24 \, x^{2} + 36 \, x - 27\right)} \log\left(4 \, x^{2} - 6 \, x + 9\right) - 2 \, {\left(8 \, x^{3} - 24 \, x^{2} + 36 \, x - 27\right)} \log\left(2 \, x + 3\right) + 42 \, {\left(8 \, x^{3} - 24 \, x^{2} + 36 \, x - 27\right)} \log\left(2 \, x - 3\right) + 216 \, x}{944784 \, {\left(8 \, x^{3} - 24 \, x^{2} + 36 \, x - 27\right)}}"," ",0,"-1/944784*(2*sqrt(3)*(8*x^3 - 24*x^2 + 36*x - 27)*arctan(1/9*sqrt(3)*(4*x + 3)) - 22*sqrt(3)*(8*x^3 - 24*x^2 + 36*x - 27)*arctan(1/9*sqrt(3)*(4*x - 3)) - 3*(8*x^3 - 24*x^2 + 36*x - 27)*log(4*x^2 + 6*x + 9) - 17*(8*x^3 - 24*x^2 + 36*x - 27)*log(4*x^2 - 6*x + 9) - 2*(8*x^3 - 24*x^2 + 36*x - 27)*log(2*x + 3) + 42*(8*x^3 - 24*x^2 + 36*x - 27)*log(2*x - 3) + 216*x)/(8*x^3 - 24*x^2 + 36*x - 27)","A",0
575,1,75,0,0.414278," ","integrate(x*(-2*x^3+27)/(-64*x^6+729),x, algorithm=""fricas"")","-\frac{1}{96} \, \sqrt{3} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x + 3\right)}\right) + \frac{5}{288} \, \sqrt{3} \arctan\left(\frac{1}{9} \, \sqrt{3} {\left(4 \, x - 3\right)}\right) + \frac{1}{192} \, \log\left(4 \, x^{2} + 6 \, x + 9\right) + \frac{5}{576} \, \log\left(4 \, x^{2} - 6 \, x + 9\right) - \frac{5}{288} \, \log\left(2 \, x + 3\right) - \frac{1}{96} \, \log\left(2 \, x - 3\right)"," ",0,"-1/96*sqrt(3)*arctan(1/9*sqrt(3)*(4*x + 3)) + 5/288*sqrt(3)*arctan(1/9*sqrt(3)*(4*x - 3)) + 1/192*log(4*x^2 + 6*x + 9) + 5/576*log(4*x^2 - 6*x + 9) - 5/288*log(2*x + 3) - 1/96*log(2*x - 3)","A",0
576,0,0,0,0.429029," ","integrate((c*x)^m*(d+e*x^n+f*x^(2*n)+g*x^(3*n))/(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x^{3 \, n} + f x^{2 \, n} + e x^{n} + d\right)} \left(c x\right)^{m}}{b x^{n} + a}, x\right)"," ",0,"integral((g*x^(3*n) + f*x^(2*n) + e*x^n + d)*(c*x)^m/(b*x^n + a), x)","F",0
577,1,305,0,0.439814," ","integrate((c+d*x^(-1+n))*(a+b*x^n)^3,x, algorithm=""fricas"")","\frac{4 \, {\left(6 \, a^{3} c n^{4} + 11 \, a^{3} c n^{3} + 6 \, a^{3} c n^{2} + a^{3} c n\right)} x + {\left(6 \, b^{3} d n^{3} + 11 \, b^{3} d n^{2} + 6 \, b^{3} d n + b^{3} d\right)} x^{4 \, n} + 4 \, {\left(6 \, a b^{2} d n^{3} + 11 \, a b^{2} d n^{2} + 6 \, a b^{2} d n + a b^{2} d + {\left(2 \, b^{3} c n^{3} + 3 \, b^{3} c n^{2} + b^{3} c n\right)} x\right)} x^{3 \, n} + 6 \, {\left(6 \, a^{2} b d n^{3} + 11 \, a^{2} b d n^{2} + 6 \, a^{2} b d n + a^{2} b d + 2 \, {\left(3 \, a b^{2} c n^{3} + 4 \, a b^{2} c n^{2} + a b^{2} c n\right)} x\right)} x^{2 \, n} + 4 \, {\left(6 \, a^{3} d n^{3} + 11 \, a^{3} d n^{2} + 6 \, a^{3} d n + a^{3} d + 3 \, {\left(6 \, a^{2} b c n^{3} + 5 \, a^{2} b c n^{2} + a^{2} b c n\right)} x\right)} x^{n}}{4 \, {\left(6 \, n^{4} + 11 \, n^{3} + 6 \, n^{2} + n\right)}}"," ",0,"1/4*(4*(6*a^3*c*n^4 + 11*a^3*c*n^3 + 6*a^3*c*n^2 + a^3*c*n)*x + (6*b^3*d*n^3 + 11*b^3*d*n^2 + 6*b^3*d*n + b^3*d)*x^(4*n) + 4*(6*a*b^2*d*n^3 + 11*a*b^2*d*n^2 + 6*a*b^2*d*n + a*b^2*d + (2*b^3*c*n^3 + 3*b^3*c*n^2 + b^3*c*n)*x)*x^(3*n) + 6*(6*a^2*b*d*n^3 + 11*a^2*b*d*n^2 + 6*a^2*b*d*n + a^2*b*d + 2*(3*a*b^2*c*n^3 + 4*a*b^2*c*n^2 + a*b^2*c*n)*x)*x^(2*n) + 4*(6*a^3*d*n^3 + 11*a^3*d*n^2 + 6*a^3*d*n + a^3*d + 3*(6*a^2*b*c*n^3 + 5*a^2*b*c*n^2 + a^2*b*c*n)*x)*x^n)/(6*n^4 + 11*n^3 + 6*n^2 + n)","B",0
578,1,160,0,0.442760," ","integrate((c+d*x^(-1+n))*(a+b*x^n)^2,x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, a^{2} c n^{3} + 3 \, a^{2} c n^{2} + a^{2} c n\right)} x + {\left(2 \, b^{2} d n^{2} + 3 \, b^{2} d n + b^{2} d\right)} x^{3 \, n} + 3 \, {\left(2 \, a b d n^{2} + 3 \, a b d n + a b d + {\left(b^{2} c n^{2} + b^{2} c n\right)} x\right)} x^{2 \, n} + 3 \, {\left(2 \, a^{2} d n^{2} + 3 \, a^{2} d n + a^{2} d + 2 \, {\left(2 \, a b c n^{2} + a b c n\right)} x\right)} x^{n}}{3 \, {\left(2 \, n^{3} + 3 \, n^{2} + n\right)}}"," ",0,"1/3*(3*(2*a^2*c*n^3 + 3*a^2*c*n^2 + a^2*c*n)*x + (2*b^2*d*n^2 + 3*b^2*d*n + b^2*d)*x^(3*n) + 3*(2*a*b*d*n^2 + 3*a*b*d*n + a*b*d + (b^2*c*n^2 + b^2*c*n)*x)*x^(2*n) + 3*(2*a^2*d*n^2 + 3*a^2*d*n + a^2*d + 2*(2*a*b*c*n^2 + a*b*c*n)*x)*x^n)/(2*n^3 + 3*n^2 + n)","B",0
579,1,56,0,0.438092," ","integrate((c+d*x^(-1+n))*(a+b*x^n),x, algorithm=""fricas"")","\frac{2 \, {\left(a c n^{2} + a c n\right)} x + {\left(b d n + b d\right)} x^{2 \, n} + 2 \, {\left(b c n x + a d n + a d\right)} x^{n}}{2 \, {\left(n^{2} + n\right)}}"," ",0,"1/2*(2*(a*c*n^2 + a*c*n)*x + (b*d*n + b*d)*x^(2*n) + 2*(b*c*n*x + a*d*n + a*d)*x^n)/(n^2 + n)","A",0
580,1,17,0,0.432327," ","integrate(c+d*x^(-1+n),x, algorithm=""fricas"")","\frac{c n x + d x x^{n - 1}}{n}"," ",0,"(c*n*x + d*x*x^(n - 1))/n","A",0
581,0,0,0,0.409178," ","integrate((c+d*x^(-1+n))/(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x^{n - 1} + c}{b x^{n} + a}, x\right)"," ",0,"integral((d*x^(n - 1) + c)/(b*x^n + a), x)","F",0
582,0,0,0,0.415706," ","integrate((c+d*x^(-1+n))/(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x^{n - 1} + c}{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}}, x\right)"," ",0,"integral((d*x^(n - 1) + c)/(b^2*x^(2*n) + 2*a*b*x^n + a^2), x)","F",0
583,0,0,0,0.408396," ","integrate((c+d*x^(-1+n))/(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x^{n - 1} + c}{b^{3} x^{3 \, n} + 3 \, a b^{2} x^{2 \, n} + 3 \, a^{2} b x^{n} + a^{3}}, x\right)"," ",0,"integral((d*x^(n - 1) + c)/(b^3*x^(3*n) + 3*a*b^2*x^(2*n) + 3*a^2*b*x^n + a^3), x)","F",0
584,-2,0,0,0.000000," ","integrate((c*x)^m*(d+e*x^n+f*x^(2*n)+g*x^(3*n))/(a+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
585,1,66,0,0.442589," ","integrate((-a*h*x^(-1+1/4*n)+b*f*x^(-1+1/2*n)+b*g*x^(-1+n)+b*h*x^(-1+5/4*n))/(a+b*x^n)^(3/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{4} x^{n - 4} + a} {\left(b f x^{2} x^{\frac{1}{2} \, n - 2} - 2 \, a h x x^{\frac{1}{4} \, n - 1} - a g\right)}}{a b n x^{4} x^{n - 4} + a^{2} n}"," ",0,"2*sqrt(b*x^4*x^(n - 4) + a)*(b*f*x^2*x^(1/2*n - 2) - 2*a*h*x*x^(1/4*n - 1) - a*g)/(a*b*n*x^4*x^(n - 4) + a^2*n)","A",0
586,0,0,0,0.444749," ","integrate((c*x)^m*(g*x^3+f*x^2+e*x+d)*(a+b*x^n)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(g x^{3} + f x^{2} + e x + d\right)} {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{m}, x\right)"," ",0,"integral((g*x^3 + f*x^2 + e*x + d)*(b*x^n + a)^p*(c*x)^m, x)","F",0
587,0,0,0,0.461856," ","integrate((c*x)^m*(a+b*x^n)^p*(d+e*x^n+f*x^(2*n)+g*x^(3*n)),x, algorithm=""fricas"")","{\rm integral}\left({\left(g x^{3 \, n} + f x^{2 \, n} + e x^{n} + d\right)} {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{m}, x\right)"," ",0,"integral((g*x^(3*n) + f*x^(2*n) + e*x^n + d)*(b*x^n + a)^p*(c*x)^m, x)","F",0
588,0,0,0,0.422073," ","integrate((c+d*x^(1/2*n)+e*x^n+f*x^(3/2*n))/(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f x^{\frac{3}{2} \, n} + d x^{\frac{1}{2} \, n} + e x^{n} + c}{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}}, x\right)"," ",0,"integral((f*x^(3/2*n) + d*x^(1/2*n) + e*x^n + c)/(b^2*x^(2*n) + 2*a*b*x^n + a^2), x)","F",0
589,1,20,0,0.430341," ","integrate((a*c+2*(a*d+b*c)*x^2+3*b*d*x^4)/(b*x^2+a)^(1/2)/(d*x^2+c)^(1/2),x, algorithm=""fricas"")","\sqrt{b x^{2} + a} \sqrt{d x^{2} + c} x"," ",0,"sqrt(b*x^2 + a)*sqrt(d*x^2 + c)*x","A",0
590,-2,0,0,0.000000," ","integrate((x^3+1)/(-x^4+1)/(x^4+1)^(1/4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
591,1,61,0,0.457589," ","integrate((a+b*x^n)^((-1-n)/n)*(c+d*x^n)^((-1-n)/n)*(a*c-b*d*x^(2*n)),x, algorithm=""fricas"")","\frac{b d x x^{2 \, n} + a c x + {\left(b c + a d\right)} x x^{n}}{{\left(b x^{n} + a\right)}^{\frac{n + 1}{n}} {\left(d x^{n} + c\right)}^{\frac{n + 1}{n}}}"," ",0,"(b*d*x*x^(2*n) + a*c*x + (b*c + a*d)*x*x^n)/((b*x^n + a)^((n + 1)/n)*(d*x^n + c)^((n + 1)/n))","B",0
592,1,119,0,0.452212," ","integrate((h*x)^(-n*p-n-1)*(a+b*x^n)^p*(c+d*x^n)^p*(a*c-b*d*x^(2*n)),x, algorithm=""fricas"")","-\frac{{\left(b d x x^{2 \, n} e^{\left(-{\left(n p + n + 1\right)} \log\left(h\right) - {\left(n p + n + 1\right)} \log\left(x\right)\right)} + a c x e^{\left(-{\left(n p + n + 1\right)} \log\left(h\right) - {\left(n p + n + 1\right)} \log\left(x\right)\right)} + {\left(b c + a d\right)} x x^{n} e^{\left(-{\left(n p + n + 1\right)} \log\left(h\right) - {\left(n p + n + 1\right)} \log\left(x\right)\right)}\right)} {\left(b x^{n} + a\right)}^{p} {\left(d x^{n} + c\right)}^{p}}{n p + n}"," ",0,"-(b*d*x*x^(2*n)*e^(-(n*p + n + 1)*log(h) - (n*p + n + 1)*log(x)) + a*c*x*e^(-(n*p + n + 1)*log(h) - (n*p + n + 1)*log(x)) + (b*c + a*d)*x*x^n*e^(-(n*p + n + 1)*log(h) - (n*p + n + 1)*log(x)))*(b*x^n + a)^p*(d*x^n + c)^p/(n*p + n)","B",0
593,1,54,0,0.463053," ","integrate((a+b*x^n)^p*(c+d*x^n)^p*(e+(a*d+b*c)*e*(n*p+n+1)*x^n/a/c+b*d*e*(2*n*p+2*n+1)*x^(2*n)/a/c),x, algorithm=""fricas"")","\frac{{\left(b d e x x^{2 \, n} + a c e x + {\left(b c + a d\right)} e x x^{n}\right)} {\left(b x^{n} + a\right)}^{p} {\left(d x^{n} + c\right)}^{p}}{a c}"," ",0,"(b*d*e*x*x^(2*n) + a*c*e*x + (b*c + a*d)*e*x*x^n)*(b*x^n + a)^p*(d*x^n + c)^p/(a*c)","A",0
594,1,88,0,0.465431," ","integrate((h*x)^m*(a+b*x^n)^p*(c+d*x^n)^p*(e+(a*d+b*c)*e*(n*p+m+n+1)*x^n/a/c/(1+m)+b*d*e*(2*n*p+m+2*n+1)*x^(2*n)/a/c/(1+m)),x, algorithm=""fricas"")","\frac{{\left(b d e x x^{2 \, n} e^{\left(m \log\left(h\right) + m \log\left(x\right)\right)} + a c e x e^{\left(m \log\left(h\right) + m \log\left(x\right)\right)} + {\left(b c + a d\right)} e x x^{n} e^{\left(m \log\left(h\right) + m \log\left(x\right)\right)}\right)} {\left(b x^{n} + a\right)}^{p} {\left(d x^{n} + c\right)}^{p}}{a c m + a c}"," ",0,"(b*d*e*x*x^(2*n)*e^(m*log(h) + m*log(x)) + a*c*e*x*e^(m*log(h) + m*log(x)) + (b*c + a*d)*e*x*x^n*e^(m*log(h) + m*log(x)))*(b*x^n + a)^p*(d*x^n + c)^p/(a*c*m + a*c)","A",0
