lst:=[[x^13/(x^8-2*x^4+1),x,6,x^2+1/6*x^6+x^2/(-4*x^4+4)-5/4*arctanh(x^2),1],
[x^11/(x^8-2*x^4+1),x,4,1/4*x^4+1/(-4*x^4+4)+1/2*ln(-x^4+1),1],
[x^9/(x^8-2*x^4+1),x,6,1/2*x^2+x^2/(-4*x^4+4)-3/4*arctanh(x^2),1],
[x^7/(x^8-2*x^4+1),x,4,1/(-4*x^4+4)+1/4*ln(-x^4+1),1],
[x^5/(x^8-2*x^4+1),x,4,x^2/(-4*x^4+4)-1/4*arctanh(x^2),1],
[x^3/(x^8-2*x^4+1),x,2,1/(-4*x^4+4),1],
[x/(x^8-2*x^4+1),x,4,x^2/(-4*x^4+4)+1/4*arctanh(x^2),1],
[1/x/(x^8-2*x^4+1),x,4,1/(-4*x^4+4)+ln(x)-1/4*ln(-x^4+1),1],
[1/x^3/(x^8-2*x^4+1),x,5,-1/2/x^2+x^2/(-4*x^4+4)+3/4*arctanh(x^2),1],
[1/x^5/(x^8-2*x^4+1),x,4,-1/4/x^4+1/(-4*x^4+4)+2*ln(x)-1/2*ln(-x^4+1),1],
[1/x^7/(x^8-2*x^4+1),x,6,-1/6/x^6-1/x^2+x^2/(-4*x^4+4)+5/4*arctanh(x^2),1],
[x^10/(x^8-2*x^4+1),x,7,1/3*x^3+x^3/(-4*x^4+4)+7/8*arctan(x)-7/8*arctanh(x),1],
[x^8/(x^8-2*x^4+1),x,7,x+x/(-4*x^4+4)-5/8*arctan(x)-5/8*arctanh(x),1],
[x^6/(x^8-2*x^4+1),x,5,x^3/(-4*x^4+4)+3/8*arctan(x)-3/8*arctanh(x),1],
[x^4/(x^8-2*x^4+1),x,5,x/(-4*x^4+4)-1/8*arctan(x)-1/8*arctanh(x),1],
[x^2/(x^8-2*x^4+1),x,5,x^3/(-4*x^4+4)-1/8*arctan(x)+1/8*arctanh(x),1],
[1/(x^8-2*x^4+1),x,5,x/(-4*x^4+4)+3/8*arctan(x)+3/8*arctanh(x),1],
[1/x^2/(x^8-2*x^4+1),x,6,-1/x+x^3/(-4*x^4+4)-5/8*arctan(x)+5/8*arctanh(x),1],
[1/x^4/(x^8-2*x^4+1),x,6,-1/3/x^3+x/(-4*x^4+4)+7/8*arctan(x)+7/8*arctanh(x),1],
[x^13/(x^8+2*x^4+1),x,6,-x^2+1/6*x^6-x^2/(4*x^4+4)+5/4*arctan(x^2),1],
[x^11/(x^8+2*x^4+1),x,4,1/4*x^4-1/(4*x^4+4)-1/2*ln(x^4+1),1],
[x^9/(x^8+2*x^4+1),x,6,1/2*x^2+x^2/(4*x^4+4)-3/4*arctan(x^2),1],
[x^7/(x^8+2*x^4+1),x,4,1/(4*x^4+4)+1/4*ln(x^4+1),1],
[x^5/(x^8+2*x^4+1),x,4,-1/4*x^2/(x^4+1)+1/4*arctan(x^2),1],
[x^3/(x^8+2*x^4+1),x,2,-1/4/(x^4+1),1],
[x/(x^8+2*x^4+1),x,4,x^2/(4*x^4+4)+1/4*arctan(x^2),1],
[1/x/(x^8+2*x^4+1),x,4,1/(4*x^4+4)+ln(x)-1/4*ln(x^4+1),1],
[1/x^3/(x^8+2*x^4+1),x,5,-1/2/x^2-x^2/(4*x^4+4)-3/4*arctan(x^2),1],
[1/x^5/(x^8+2*x^4+1),x,4,-1/4/x^4-1/(4*x^4+4)-2*ln(x)+1/2*ln(x^4+1),1],
[1/x^7/(x^8+2*x^4+1),x,6,-1/6/x^6+1/x^2+x^2/(4*x^4+4)+5/4*arctan(x^2),1],
[x^10/(x^8+2*x^4+1),x,12,1/3*x^3+x^3/(4*x^4+4)+7/8*arctan(1-sqrt(2)*x)/sqrt(2)-7/8*arctan(1+sqrt(2)*x)/sqrt(2)+7/8*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[x^8/(x^8+2*x^4+1),x,12,x+x/(4*x^4+4)+5/8*arctan(1-sqrt(2)*x)/sqrt(2)-5/8*arctan(1+sqrt(2)*x)/sqrt(2)-5/8*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[x^6/(x^8+2*x^4+1),x,10,-1/4*x^3/(x^4+1)-3/8*arctan(1-sqrt(2)*x)/sqrt(2)+3/8*arctan(1+sqrt(2)*x)/sqrt(2)-3/8*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[x^4/(x^8+2*x^4+1),x,10,-1/4*x/(x^4+1)-1/8*arctan(1-sqrt(2)*x)/sqrt(2)+1/8*arctan(1+sqrt(2)*x)/sqrt(2)+1/8*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[x^2/(x^8+2*x^4+1),x,10,x^3/(4*x^4+4)-1/8*arctan(1-sqrt(2)*x)/sqrt(2)+1/8*arctan(1+sqrt(2)*x)/sqrt(2)-1/8*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[1/(x^8+2*x^4+1),x,10,x/(4*x^4+4)-3/8*arctan(1-sqrt(2)*x)/sqrt(2)+3/8*arctan(1+sqrt(2)*x)/sqrt(2)+3/8*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[1/x^2/(x^8+2*x^4+1),x,11,-1/x-x^3/(4*x^4+4)+5/8*arctan(1-sqrt(2)*x)/sqrt(2)-5/8*arctan(1+sqrt(2)*x)/sqrt(2)+5/8*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[1/x^4/(x^8+2*x^4+1),x,11,-1/3/x^3-x/(4*x^4+4)+7/8*arctan(1-sqrt(2)*x)/sqrt(2)-7/8*arctan(1+sqrt(2)*x)/sqrt(2)-7/8*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2),1],
[x^7*sqrt(b^2*x^8+2*a*b*x^4+a^2),x,4,-1/8*a*(b*x^4+a)*sqrt(b^2*x^8+2*a*b*x^4+a^2)/b^2+1/12*(b^2*x^8+2*a*b*x^4+a^2)^(3/2)/b^2,1],
[sqrt(b^2*x^8+2*a*b*x^4+a^2)/x,x,4,b*x^4*sqrt(b^2*x^8+2*a*b*x^4+a^2)/(4*b*x^4+4*a)+a*sqrt(b^2*x^8+2*a*b*x^4+a^2)*ln(x)/(b*x^4+a),1],
[sqrt(b^2*x^8+2*a*b*x^4+a^2)/x^9,x,3,-1/8*(b*x^4+a)*sqrt(b^2*x^8+2*a*b*x^4+a^2)/a/x^8,1],
[x^m/(x^8+2*x^4+1),x,2,x^(1+m)*hypergeom([2, 1/4+1/4*m],[5/4+1/4*m],-x^4)/(1+m),1],
[x^m/(x^8-2*x^4+1),x,2,x^(1+m)*hypergeom([2, 1/4+1/4*m],[5/4+1/4*m],x^4)/(1+m),1],
[(d*x)^m*(b^2*x^8+2*a*b*x^4+a^2)^p,x,3,(d*x)^(1+m)*(b^2*x^8+2*a*b*x^4+a^2)^p*hypergeom([1/4+1/4*m, -2*p],[5/4+1/4*m],-b*x^4/a)/d/(1+m)/((1+b*x^4/a)^(2*p)),1],
[x^11/(c*x^8+b*x^4+a),x,7,1/4*x^4/c-1/4*(-2*a*c+b^2)*arctanh((2*c*x^4+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)-1/8*b*ln(c*x^8+b*x^4+a)/c^2,1],
[x^9/(c*x^8+b*x^4+a),x,6,1/2*x^2/c-1/2*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x^2/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/c^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x^2/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/c^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[x^7/(c*x^8+b*x^4+a),x,5,1/4*b*arctanh((2*c*x^4+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+1/8*ln(c*x^8+b*x^4+a)/c,1],
[x^5/(c*x^8+b*x^4+a),x,4,-1/2*sqrt(b-sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x^2/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2)+1/2*sqrt(b+sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x^2/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(-4*a*c+b^2),1],
[x^3/(c*x^8+b*x^4+a),x,3,-1/2*arctanh((2*c*x^4+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[x/(c*x^8+b*x^4+a),x,4,sqrt(c)*arctan(sqrt(2)*sqrt(c)*x^2/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(c)*arctan(sqrt(2)*sqrt(c)*x^2/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/x/(c*x^8+b*x^4+a),x,6,1/4*b*arctanh((2*c*x^4+b)/sqrt(-4*a*c+b^2))/a/sqrt(-4*a*c+b^2)+ln(x)/a-1/8*ln(c*x^8+b*x^4+a)/a,1],
[1/x^3/(c*x^8+b*x^4+a),x,6,-1/2/a/x^2-1/2*sqrt(c)*(1+b/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x^2/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(b-sqrt(-4*a*c+b^2))-1/2*sqrt(c)*(1-b/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x^2/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/x^5/(c*x^8+b*x^4+a),x,8,-1/4/a/x^4-1/4*(-2*a*c+b^2)*arctanh((2*c*x^4+b)/sqrt(-4*a*c+b^2))/a^2/sqrt(-4*a*c+b^2)-b*ln(x)/a^2+1/8*b*ln(c*x^8+b*x^4+a)/a^2,1],
[x^10/(c*x^8+b*x^4+a),x,9,1/3*x^3/c-1/4*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/4*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-b+sqrt(-4*a*c+b^2))^(1/4)+1/4*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/4*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(7/4)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^8/(c*x^8+b*x^4+a),x,9,x/c+1/4*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(5/4)/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/4*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(5/4)/(-b+sqrt(-4*a*c+b^2))^(3/4)+1/4*(b+(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(5/4)/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/4*(b-(-2*a*c+b^2)/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(5/4)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[x^6/(c*x^8+b*x^4+a),x,7,-1/4*(-b-sqrt(-4*a*c+b^2))^(3/4)*arctan(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/sqrt(-4*a*c+b^2)+1/4*(-b+sqrt(-4*a*c+b^2))^(3/4)*arctan(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/sqrt(-4*a*c+b^2)+1/4*(-b-sqrt(-4*a*c+b^2))^(3/4)*arctanh(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/sqrt(-4*a*c+b^2)-1/4*(-b+sqrt(-4*a*c+b^2))^(3/4)*arctanh(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/c^(3/4)/sqrt(-4*a*c+b^2),1],
[x^4/(c*x^8+b*x^4+a),x,7,1/4*(-b-sqrt(-4*a*c+b^2))^(1/4)*arctan(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/sqrt(-4*a*c+b^2)-1/4*(-b+sqrt(-4*a*c+b^2))^(1/4)*arctan(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/sqrt(-4*a*c+b^2)+1/4*(-b-sqrt(-4*a*c+b^2))^(1/4)*arctanh(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/sqrt(-4*a*c+b^2)-1/4*(-b+sqrt(-4*a*c+b^2))^(1/4)*arctanh(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/c^(1/4)/sqrt(-4*a*c+b^2),1],
[x^2/(c*x^8+b*x^4+a),x,7,-1/2*c^(1/4)*arctan(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/sqrt(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/2*c^(1/4)*arctan(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/sqrt(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(1/4)+1/2*c^(1/4)*arctanh(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/sqrt(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/2*c^(1/4)*arctanh(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/sqrt(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[1/(c*x^8+b*x^4+a),x,7,1/2*c^(3/4)*arctan(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/sqrt(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-1/2*c^(3/4)*arctan(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/sqrt(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(3/4)+1/2*c^(3/4)*arctanh(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/sqrt(-4*a*c+b^2)/(-b-sqrt(-4*a*c+b^2))^(3/4)-1/2*c^(3/4)*arctanh(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/sqrt(-4*a*c+b^2)/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[1/x^2/(c*x^8+b*x^4+a),x,9,-1/a/x-1/4*c^(1/4)*(1-b/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/4*c^(1/4)*(1+b/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-b+sqrt(-4*a*c+b^2))^(1/4)+1/4*c^(1/4)*(1-b/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/4*c^(1/4)*(1+b/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[1/x^4/(c*x^8+b*x^4+a),x,9,-1/3/a/x^3+1/4*c^(3/4)*(1-b/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/4*c^(3/4)*(1+b/sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-b+sqrt(-4*a*c+b^2))^(3/4)+1/4*c^(3/4)*(1-b/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-b-sqrt(-4*a*c+b^2))^(3/4)+1/4*c^(3/4)*(1+b/sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(3/4)/a/(-b+sqrt(-4*a*c+b^2))^(3/4),1],
[1/x^2/(c*x^8+b*x^4+a)^2,x,9,-1/4*(-18*a*c+5*b^2)/a^2/(-4*a*c+b^2)/x+1/4*(b*c*x^4-2*a*c+b^2)/a/(-4*a*c+b^2)/x/(c*x^8+b*x^4+a)+1/16*c^(1/4)*(5*b^3-28*a*b*c-(-18*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)-1/16*c^(1/4)*(5*b^3-28*a*b*c+(-18*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctan(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(3/2)/(-b+sqrt(-4*a*c+b^2))^(1/4)-1/16*c^(1/4)*(5*b^3-28*a*b*c-(-18*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*x/(-b-sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(3/2)/(-b-sqrt(-4*a*c+b^2))^(1/4)+1/16*c^(1/4)*(5*b^3-28*a*b*c+(-18*a*c+5*b^2)*sqrt(-4*a*c+b^2))*arctanh(2^(1/4)*c^(1/4)*x/(-b+sqrt(-4*a*c+b^2))^(1/4))*2^(1/4)/a^2/(-4*a*c+b^2)^(3/2)/(-b+sqrt(-4*a*c+b^2))^(1/4),1],
[x^11/(x^8+x^4+1),x,7,1/4*x^4-1/4*arctan((2*x^4+1)/sqrt(3))/sqrt(3)-1/8*ln(x^8+x^4+1),1],
[x^9/(x^8+x^4+1),x,8,1/2*x^2+1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)-1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3),1],
[x^7/(x^8+x^4+1),x,5,-1/4*arctan((2*x^4+1)/sqrt(3))/sqrt(3)+1/8*ln(x^8+x^4+1),1],
[x^5/(x^8+x^4+1),x,9,-1/4*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)+1/4*arctan((2*x^2+1)/sqrt(3))/sqrt(3)-1/4*arctanh(x^2/(x^4+1)),1],
[x^3/(x^8+x^4+1),x,3,1/2*arctan((2*x^4+1)/sqrt(3))/sqrt(3),1],
[x/(x^8+x^4+1),x,9,-1/4*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)+1/4*arctan((2*x^2+1)/sqrt(3))/sqrt(3)+1/4*arctanh(x^2/(x^4+1)),1],
[1/x/(x^8+x^4+1),x,6,-1/4*arctan((2*x^4+1)/sqrt(3))/sqrt(3)+ln(x)-1/8*ln(x^8+x^4+1),1],
[1/x^3/(x^8+x^4+1),x,8,-1/2/x^2+1/2*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)-1/2*arctan((2*x^2+1)/sqrt(3))/sqrt(3),1],
[1/x^5/(x^8+x^4+1),x,8,-1/4/x^4-1/4*arctan((2*x^4+1)/sqrt(3))/sqrt(3)-ln(x)+1/8*ln(x^8+x^4+1),1],
[1/x^7/(x^8+x^4+1),x,11,-1/6/x^6+1/2/x^2-1/4*arctan((-2*x^2+1)/sqrt(3))/sqrt(3)+1/4*arctan((2*x^2+1)/sqrt(3))/sqrt(3)-1/4*arctanh(x^2/(x^4+1)),1],
[x^8/(x^8+x^4+1),x,19,x+1/4*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/4*arctan(sqrt(3)-2*x)-1/4*arctan((1+2*x)/sqrt(3))/sqrt(3)-1/4*arctan(sqrt(3)+2*x)-1/4*arctanh(x/(x^2+1))-1/4*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^6/(x^8+x^4+1),x,8,-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)-1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^4/(x^8+x^4+1),x,17,1/4*arctan((1-2*x)/sqrt(3))/sqrt(3)-1/4*arctan(sqrt(3)-2*x)-1/4*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/4*arctan(sqrt(3)+2*x)+1/4*arctanh(x/(x^2+1))-1/4*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^2/(x^8+x^4+1),x,17,1/4*arctan((1-2*x)/sqrt(3))/sqrt(3)-1/4*arctan(sqrt(3)-2*x)-1/4*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/4*arctan(sqrt(3)+2*x)-1/4*arctanh(x/(x^2+1))+1/4*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/(x^8+x^4+1),x,8,-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^2/(x^8+x^4+1),x,19,-1/x+1/4*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/4*arctan(sqrt(3)-2*x)-1/4*arctan((1+2*x)/sqrt(3))/sqrt(3)-1/4*arctan(sqrt(3)+2*x)+1/4*arctanh(x/(x^2+1))+1/4*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^4/(x^8+x^4+1),x,19,-1/3/x^3+1/4*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/4*arctan(sqrt(3)-2*x)-1/4*arctan((1+2*x)/sqrt(3))/sqrt(3)-1/4*arctan(sqrt(3)+2*x)-1/4*arctanh(x/(x^2+1))-1/4*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^6/(x^8+x^4+1),x,10,-1/5/x^5+1/x-1/2*arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*arctan((1+2*x)/sqrt(3))/sqrt(3)-1/2*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[1/x^8/(x^8+x^4+1),x,19,-1/7/x^7+1/3/x^3+1/4*arctan((1-2*x)/sqrt(3))/sqrt(3)-1/4*arctan(sqrt(3)-2*x)-1/4*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/4*arctan(sqrt(3)+2*x)+1/4*arctanh(x/(x^2+1))-1/4*arctanh(sqrt(3)*x/(x^2+1))/sqrt(3),1],
[x^11/(x^8-x^4+1),x,7,1/4*x^4+1/4*arctan((-2*x^4+1)/sqrt(3))/sqrt(3)+1/8*ln(x^8-x^4+1),1],
[x^9/(x^8-x^4+1),x,5,1/2*x^2-1/2*arctanh(sqrt(3)*x^2/(x^4+1))/sqrt(3),1],
[x^7/(x^8-x^4+1),x,5,-1/4*arctan((-2*x^4+1)/sqrt(3))/sqrt(3)+1/8*ln(x^8-x^4+1),1],
[x^5/(x^8-x^4+1),x,9,-1/4*arctan(sqrt(3)-2*x^2)+1/4*arctan(sqrt(3)+2*x^2)-1/4*arctanh(sqrt(3)*x^2/(x^4+1))/sqrt(3),1],
[x^3/(x^8-x^4+1),x,3,-1/2*arctan((-2*x^4+1)/sqrt(3))/sqrt(3),1],
[x/(x^8-x^4+1),x,9,-1/4*arctan(sqrt(3)-2*x^2)+1/4*arctan(sqrt(3)+2*x^2)+1/4*arctanh(sqrt(3)*x^2/(x^4+1))/sqrt(3),1],
[1/x/(x^8-x^4+1),x,6,-1/4*arctan((-2*x^4+1)/sqrt(3))/sqrt(3)+ln(x)-1/8*ln(x^8-x^4+1),1],
[1/x^3/(x^8-x^4+1),x,5,-1/2/x^2+1/2*arctanh(sqrt(3)*x^2/(x^4+1))/sqrt(3),1],
[1/x^5/(x^8-x^4+1),x,8,-1/4/x^4+1/4*arctan((-2*x^4+1)/sqrt(3))/sqrt(3)+ln(x)-1/8*ln(x^8-x^4+1),1],
[1/x^7/(x^8-x^4+1),x,11,-1/6/x^6-1/2/x^2+1/4*arctan(sqrt(3)-2*x^2)-1/4*arctan(sqrt(3)+2*x^2)+1/4*arctanh(sqrt(3)*x^2/(x^4+1))/sqrt(3),1],
[x^8/(x^8-x^4+1),x,19,x+1/4*sqrt(2/3+1/3*sqrt(3))*arctan((sqrt(2-sqrt(3))-2*x)/sqrt(2+sqrt(3)))-1/4*sqrt(2/3-1/3*sqrt(3))*arctan((sqrt(2+sqrt(3))-2*x)/sqrt(2-sqrt(3)))-1/4*sqrt(2/3+1/3*sqrt(3))*arctan((sqrt(2-sqrt(3))+2*x)/sqrt(2+sqrt(3)))+1/4*sqrt(2/3-1/3*sqrt(3))*arctan((sqrt(2+sqrt(3))+2*x)/sqrt(2-sqrt(3)))+1/4*sqrt(2/3-1/3*sqrt(3))*arctanh(sqrt(2-sqrt(3))*x/(x^2+1))-1/4*sqrt(2/3+1/3*sqrt(3))*arctanh(sqrt(2+sqrt(3))*x/(x^2+1)),1],
[x^6/(x^8-x^4+1),x,17,-1/2*arctan((sqrt(2-sqrt(3))-2*x)/sqrt(2+sqrt(3)))/sqrt(6)-1/2*arctan((sqrt(2+sqrt(3))-2*x)/sqrt(2-sqrt(3)))/sqrt(6)+1/2*arctan((sqrt(2-sqrt(3))+2*x)/sqrt(2+sqrt(3)))/sqrt(6)+1/2*arctan((sqrt(2+sqrt(3))+2*x)/sqrt(2-sqrt(3)))/sqrt(6)-1/2*arctanh(sqrt(2-sqrt(3))*x/(x^2+1))/sqrt(6)-1/2*arctanh(sqrt(2+sqrt(3))*x/(x^2+1))/sqrt(6),1],
[x^4/(x^8-x^4+1),x,17,1/4*arctan((sqrt(2-sqrt(3))-2*x)/sqrt(2+sqrt(3)))/sqrt(6+3*sqrt(3))-1/4*arctan((sqrt(2+sqrt(3))-2*x)/sqrt(2-sqrt(3)))/sqrt(6-3*sqrt(3))-1/4*arctan((sqrt(2-sqrt(3))+2*x)/sqrt(2+sqrt(3)))/sqrt(6+3*sqrt(3))+1/4*arctan((sqrt(2+sqrt(3))+2*x)/sqrt(2-sqrt(3)))/sqrt(6-3*sqrt(3))+1/4*arctanh(sqrt(2-sqrt(3))*x/(x^2+1))/sqrt(6-3*sqrt(3))-1/4*arctanh(sqrt(2+sqrt(3))*x/(x^2+1))/sqrt(6+3*sqrt(3)),1],
[x^2/(x^8-x^4+1),x,17,1/4*arctan((sqrt(2-sqrt(3))-2*x)/sqrt(2+sqrt(3)))/sqrt(6+3*sqrt(3))-1/4*arctan((sqrt(2+sqrt(3))-2*x)/sqrt(2-sqrt(3)))/sqrt(6-3*sqrt(3))-1/4*arctan((sqrt(2-sqrt(3))+2*x)/sqrt(2+sqrt(3)))/sqrt(6+3*sqrt(3))+1/4*arctan((sqrt(2+sqrt(3))+2*x)/sqrt(2-sqrt(3)))/sqrt(6-3*sqrt(3))-1/4*arctanh(sqrt(2-sqrt(3))*x/(x^2+1))/sqrt(6-3*sqrt(3))+1/4*arctanh(sqrt(2+sqrt(3))*x/(x^2+1))/sqrt(6+3*sqrt(3)),1],
[1/(x^8-x^4+1),x,17,-1/2*arctan((sqrt(2-sqrt(3))-2*x)/sqrt(2+sqrt(3)))/sqrt(6)-1/2*arctan((sqrt(2+sqrt(3))-2*x)/sqrt(2-sqrt(3)))/sqrt(6)+1/2*arctan((sqrt(2-sqrt(3))+2*x)/sqrt(2+sqrt(3)))/sqrt(6)+1/2*arctan((sqrt(2+sqrt(3))+2*x)/sqrt(2-sqrt(3)))/sqrt(6)+1/2*arctanh(sqrt(2-sqrt(3))*x/(x^2+1))/sqrt(6)+1/2*arctanh(sqrt(2+sqrt(3))*x/(x^2+1))/sqrt(6),1],
[1/x^2/(x^8-x^4+1),x,23,-1/x+1/4*sqrt(2/3+1/3*sqrt(3))*arctan((sqrt(2-sqrt(3))-2*x)/sqrt(2+sqrt(3)))-1/4*sqrt(2/3-1/3*sqrt(3))*arctan((sqrt(2+sqrt(3))-2*x)/sqrt(2-sqrt(3)))-1/4*sqrt(2/3+1/3*sqrt(3))*arctan((sqrt(2-sqrt(3))+2*x)/sqrt(2+sqrt(3)))+1/4*sqrt(2/3-1/3*sqrt(3))*arctan((sqrt(2+sqrt(3))+2*x)/sqrt(2-sqrt(3)))-1/4*sqrt(2/3-1/3*sqrt(3))*arctanh(sqrt(2-sqrt(3))*x/(x^2+1))+1/4*sqrt(2/3+1/3*sqrt(3))*arctanh(sqrt(2+sqrt(3))*x/(x^2+1)),1],
[1/x^4/(x^8-x^4+1),x,19,-1/3/x^3-1/4*sqrt(2/3+1/3*sqrt(3))*arctan((sqrt(2-sqrt(3))-2*x)/sqrt(2+sqrt(3)))+1/4*sqrt(2/3-1/3*sqrt(3))*arctan((sqrt(2+sqrt(3))-2*x)/sqrt(2-sqrt(3)))+1/4*sqrt(2/3+1/3*sqrt(3))*arctan((sqrt(2-sqrt(3))+2*x)/sqrt(2+sqrt(3)))-1/4*sqrt(2/3-1/3*sqrt(3))*arctan((sqrt(2+sqrt(3))+2*x)/sqrt(2-sqrt(3)))-1/4*sqrt(2/3-1/3*sqrt(3))*arctanh(sqrt(2-sqrt(3))*x/(x^2+1))+1/4*sqrt(2/3+1/3*sqrt(3))*arctanh(sqrt(2+sqrt(3))*x/(x^2+1)),1],
[1/x^6/(x^8-x^4+1),x,19,-1/5/x^5-1/x+1/2*arctan((sqrt(2-sqrt(3))-2*x)/sqrt(2+sqrt(3)))/sqrt(6)+1/2*arctan((sqrt(2+sqrt(3))-2*x)/sqrt(2-sqrt(3)))/sqrt(6)-1/2*arctan((sqrt(2-sqrt(3))+2*x)/sqrt(2+sqrt(3)))/sqrt(6)-1/2*arctan((sqrt(2+sqrt(3))+2*x)/sqrt(2-sqrt(3)))/sqrt(6)+1/2*arctanh(sqrt(2-sqrt(3))*x/(x^2+1))/sqrt(6)+1/2*arctanh(sqrt(2+sqrt(3))*x/(x^2+1))/sqrt(6),1],
[1/x^8/(x^8-x^4+1),x,19,-1/7/x^7-1/3/x^3-1/4*arctan((sqrt(2-sqrt(3))-2*x)/sqrt(2+sqrt(3)))/sqrt(6+3*sqrt(3))+1/4*arctan((sqrt(2+sqrt(3))-2*x)/sqrt(2-sqrt(3)))/sqrt(6-3*sqrt(3))+1/4*arctan((sqrt(2-sqrt(3))+2*x)/sqrt(2+sqrt(3)))/sqrt(6+3*sqrt(3))-1/4*arctan((sqrt(2+sqrt(3))+2*x)/sqrt(2-sqrt(3)))/sqrt(6-3*sqrt(3))-1/4*arctanh(sqrt(2-sqrt(3))*x/(x^2+1))/sqrt(6-3*sqrt(3))+1/4*arctanh(sqrt(2+sqrt(3))*x/(x^2+1))/sqrt(6+3*sqrt(3)),1],
[x^11/(x^8+3*x^4+1),x,3,1/4*x^4-1/40*(15-7*sqrt(5))*ln(3-sqrt(5)+2*x^4)-1/40*(15+7*sqrt(5))*ln(3+sqrt(5)+2*x^4),1],
[x^9/(x^8+3*x^4+1),x,6,1/2*x^2-1/2*arctan(sqrt(3/2-1/2*sqrt(5))*x^2)/sqrt(45-20*sqrt(5))+1/2*arctan(sqrt(3/2+1/2*sqrt(5))*x^2)/sqrt(45+20*sqrt(5)),1],
[x^7/(x^8+3*x^4+1),x,3,1/40*(5-3*sqrt(5))*ln(3-sqrt(5)+2*x^4)+1/40*(5+3*sqrt(5))*ln(3+sqrt(5)+2*x^4),1],
[x^5/(x^8+3*x^4+1),x,4,1/2*sqrt(3/10+1/10*sqrt(5))*arctan(sqrt(3/2-1/2*sqrt(5))*x^2)-arctan(sqrt(3/2+1/2*sqrt(5))*x^2)/sqrt(30+10*sqrt(5)),1],
[x^3/(x^8+3*x^4+1),x,4,1/4*ln(3-sqrt(5)+2*x^4)/sqrt(5)-1/4*ln(3+sqrt(5)+2*x^4)/sqrt(5),1],
[x/(x^8+3*x^4+1),x,4,-arctan(sqrt(2/(3+sqrt(5)))*x^2)/sqrt(30+10*sqrt(5))+1/2*sqrt(3/10+1/10*sqrt(5))*arctan(sqrt(3/2+1/2*sqrt(5))*x^2),1],
[1/x/(x^8+3*x^4+1),x,4,ln(x)-1/40*(5+3*sqrt(5))*ln(3-sqrt(5)+2*x^4)-1/40*(5-3*sqrt(5))*ln(3+sqrt(5)+2*x^4),1],
[1/x^3/(x^8+3*x^4+1),x,6,-1/2/x^2+1/2*arctan(sqrt(3/2-1/2*sqrt(5))*x^2)/sqrt(45+20*sqrt(5))-1/2*arctan(sqrt(3/2+1/2*sqrt(5))*x^2)/sqrt(45-20*sqrt(5)),1],
[1/x^5/(x^8+3*x^4+1),x,3,-1/4/x^4-3*ln(x)-ln(3+sqrt(5)+2*x^4)/sqrt(5)/(3+sqrt(5))^2-ln(-40+18*sqrt(5)-(15-7*sqrt(5))*x^4)/(30-14*sqrt(5)),1],
[1/x^7/(x^8+3*x^4+1),x,6,-1/6/x^6+3/2/x^2-1/2*sqrt(123/10-11/2*sqrt(5))*arctan(sqrt(3/2-1/2*sqrt(5))*x^2)+1/2*sqrt(123/10+11/2*sqrt(5))*arctan(sqrt(3/2+1/2*sqrt(5))*x^2),1],
[x^8/(x^8+3*x^4+1),x,19,x-1/4*(123-55*sqrt(5))^(1/4)*arctan(1-2^(3/4)*x/(3-sqrt(5))^(1/4))*2^(1/4)/sqrt(5)+1/4*(123-55*sqrt(5))^(1/4)*arctan(1+2^(3/4)*x/(3-sqrt(5))^(1/4))*2^(1/4)/sqrt(5)+1/4*(123+55*sqrt(5))^(1/4)*arctan(1-2^(3/4)*x/(3+sqrt(5))^(1/4))*2^(1/4)/sqrt(5)-1/4*(123+55*sqrt(5))^(1/4)*arctan(1+2^(3/4)*x/(3+sqrt(5))^(1/4))*2^(1/4)/sqrt(5)+1/4*(123-55*sqrt(5))^(1/4)*arctanh(2^(3/4)*(3-sqrt(5))^(1/4)*x/(sqrt(3-sqrt(5))+sqrt(2)*x^2))*2^(1/4)/sqrt(5)-1/4*(123+55*sqrt(5))^(1/4)*arctanh(2^(3/4)*(3+sqrt(5))^(1/4)*x/(sqrt(3+sqrt(5))+sqrt(2)*x^2))*2^(1/4)/sqrt(5),1],
[x^6/(x^8+3*x^4+1),x,17,1/2*(9-4*sqrt(5))^(1/4)*arctan(1-2^(3/4)*x/(3-sqrt(5))^(1/4))/sqrt(10)-1/2*(9-4*sqrt(5))^(1/4)*arctan(1+2^(3/4)*x/(3-sqrt(5))^(1/4))/sqrt(10)-1/8*(3+sqrt(5))^(3/4)*arctan(1-2^(3/4)*x/(3+sqrt(5))^(1/4))*2^(3/4)/sqrt(5)+1/8*(3+sqrt(5))^(3/4)*arctan(1+2^(3/4)*x/(3+sqrt(5))^(1/4))*2^(3/4)/sqrt(5)+1/2*(9-4*sqrt(5))^(1/4)*arctanh(2^(3/4)*(3-sqrt(5))^(1/4)*x/(sqrt(3-sqrt(5))+sqrt(2)*x^2))/sqrt(10)-1/8*(3+sqrt(5))^(3/4)*arctanh(2^(3/4)*(3+sqrt(5))^(1/4)*x/(sqrt(3+sqrt(5))+sqrt(2)*x^2))*2^(3/4)/sqrt(5),1],
[x^4/(x^8+3*x^4+1),x,17,1/4*(3-sqrt(5))^(1/4)*arctan(1-2^(3/4)*x/(3-sqrt(5))^(1/4))*2^(1/4)/sqrt(5)-1/4*(3-sqrt(5))^(1/4)*arctan(1+2^(3/4)*x/(3-sqrt(5))^(1/4))*2^(1/4)/sqrt(5)-1/4*(3+sqrt(5))^(1/4)*arctan(1-2^(3/4)*x/(3+sqrt(5))^(1/4))*2^(1/4)/sqrt(5)+1/4*(3+sqrt(5))^(1/4)*arctan(1+2^(3/4)*x/(3+sqrt(5))^(1/4))*2^(1/4)/sqrt(5)-1/4*(3-sqrt(5))^(1/4)*arctanh(2^(3/4)*(3-sqrt(5))^(1/4)*x/(sqrt(3-sqrt(5))+sqrt(2)*x^2))*2^(1/4)/sqrt(5)+1/4*(3+sqrt(5))^(1/4)*arctanh(2^(3/4)*(3+sqrt(5))^(1/4)*x/(sqrt(3+sqrt(5))+sqrt(2)*x^2))*2^(1/4)/sqrt(5),1],
[x^2/(x^8+3*x^4+1),x,17,-1/4*(3+sqrt(5))^(1/4)*arctan(1-2^(3/4)*x/(3-sqrt(5))^(1/4))*2^(1/4)/sqrt(5)+1/4*(3+sqrt(5))^(1/4)*arctan(1+2^(3/4)*x/(3-sqrt(5))^(1/4))*2^(1/4)/sqrt(5)+1/2*arctan(1-2^(3/4)*x/(3+sqrt(5))^(1/4))/sqrt(5)/(6+2*sqrt(5))^(1/4)-1/2*arctan(1+2^(3/4)*x/(3+sqrt(5))^(1/4))/sqrt(5)/(6+2*sqrt(5))^(1/4)-1/4*(3+sqrt(5))^(1/4)*arctanh(2^(3/4)*(3-sqrt(5))^(1/4)*x/(sqrt(3-sqrt(5))+sqrt(2)*x^2))*2^(1/4)/sqrt(5)+1/2*arctanh(2^(3/4)*(3+sqrt(5))^(1/4)*x/(sqrt(3+sqrt(5))+sqrt(2)*x^2))/sqrt(5)/(6+2*sqrt(5))^(1/4),1],
[1/(x^8+3*x^4+1),x,17,-1/2*(9+4*sqrt(5))^(1/4)*arctan(1-2^(3/4)*x/(3-sqrt(5))^(1/4))/sqrt(10)+1/2*(9+4*sqrt(5))^(1/4)*arctan(1+2^(3/4)*x/(3-sqrt(5))^(1/4))/sqrt(10)+arctan(1-2^(3/4)*x/(3+sqrt(5))^(1/4))/sqrt(5)/(6+2*sqrt(5))^(3/4)-arctan(1+2^(3/4)*x/(3+sqrt(5))^(1/4))/sqrt(5)/(6+2*sqrt(5))^(3/4)+1/2*(9+4*sqrt(5))^(1/4)*arctanh(2^(3/4)*(3-sqrt(5))^(1/4)*x/(sqrt(3-sqrt(5))+sqrt(2)*x^2))/sqrt(10)-arctanh(2^(3/4)*(3+sqrt(5))^(1/4)*x/(sqrt(3+sqrt(5))+sqrt(2)*x^2))/sqrt(5)/(6+2*sqrt(5))^(3/4),1],
[1/x^2/(x^8+3*x^4+1),x,19,-1/x+1/8*(3+sqrt(5))^(5/4)*arctan(1-2^(3/4)*x/(3-sqrt(5))^(1/4))*2^(1/4)/sqrt(5)-1/8*(3+sqrt(5))^(5/4)*arctan(1+2^(3/4)*x/(3-sqrt(5))^(1/4))*2^(1/4)/sqrt(5)-1/4*(123-55*sqrt(5))^(1/4)*arctan(1-2^(3/4)*x/(3+sqrt(5))^(1/4))*2^(1/4)/sqrt(5)+1/4*(123-55*sqrt(5))^(1/4)*arctan(1+2^(3/4)*x/(3+sqrt(5))^(1/4))*2^(1/4)/sqrt(5)+1/8*(3+sqrt(5))^(5/4)*arctanh(2^(3/4)*(3-sqrt(5))^(1/4)*x/(sqrt(3-sqrt(5))+sqrt(2)*x^2))*2^(1/4)/sqrt(5)-1/4*(123-55*sqrt(5))^(1/4)*arctanh(2^(3/4)*(3+sqrt(5))^(1/4)*x/(sqrt(3+sqrt(5))+sqrt(2)*x^2))*2^(1/4)/sqrt(5),1],
[1/x^4/(x^8+3*x^4+1),x,19,-1/3/x^3+1/4*(843+377*sqrt(5))^(1/4)*arctan(1-2^(3/4)*x/(3-sqrt(5))^(1/4))*2^(1/4)/sqrt(5)-1/4*(843+377*sqrt(5))^(1/4)*arctan(1+2^(3/4)*x/(3-sqrt(5))^(1/4))*2^(1/4)/sqrt(5)-1/4*(843-377*sqrt(5))^(1/4)*arctan(1-2^(3/4)*x/(3+sqrt(5))^(1/4))*2^(1/4)/sqrt(5)+1/4*(843-377*sqrt(5))^(1/4)*arctan(1+2^(3/4)*x/(3+sqrt(5))^(1/4))*2^(1/4)/sqrt(5)-1/4*(843+377*sqrt(5))^(1/4)*arctanh(2^(3/4)*(3-sqrt(5))^(1/4)*x/(sqrt(3-sqrt(5))+sqrt(2)*x^2))*2^(1/4)/sqrt(5)+1/4*(843-377*sqrt(5))^(1/4)*arctanh(2^(3/4)*(3+sqrt(5))^(1/4)*x/(sqrt(3+sqrt(5))+sqrt(2)*x^2))*2^(1/4)/sqrt(5),1],
[x^11/(x^8-3*x^4+1),x,3,1/4*x^4+1/40*(15-7*sqrt(5))*ln(3-sqrt(5)-2*x^4)+1/40*(15+7*sqrt(5))*ln(3+sqrt(5)-2*x^4),1],
[x^9/(x^8-3*x^4+1),x,6,1/2*x^2-1/2*arctanh(sqrt(3/2-1/2*sqrt(5))*x^2)/sqrt(45-20*sqrt(5))+1/2*arctanh(sqrt(3/2+1/2*sqrt(5))*x^2)/sqrt(45+20*sqrt(5)),1],
[x^7/(x^8-3*x^4+1),x,3,1/40*(5-3*sqrt(5))*ln(3-sqrt(5)-2*x^4)+1/40*(5+3*sqrt(5))*ln(3+sqrt(5)-2*x^4),1],
[x^5/(x^8-3*x^4+1),x,4,-1/2*sqrt(3/10+1/10*sqrt(5))*arctanh(sqrt(3/2-1/2*sqrt(5))*x^2)+arctanh(sqrt(3/2+1/2*sqrt(5))*x^2)/sqrt(30+10*sqrt(5)),1],
[x^3/(x^8-3*x^4+1),x,4,-1/4*ln(3-sqrt(5)-2*x^4)/sqrt(5)+1/4*ln(3+sqrt(5)-2*x^4)/sqrt(5),1],
[x/(x^8-3*x^4+1),x,4,-arctanh(sqrt(2/(3+sqrt(5)))*x^2)/sqrt(30+10*sqrt(5))+1/2*sqrt(3/10+1/10*sqrt(5))*arctanh(sqrt(3/2+1/2*sqrt(5))*x^2),1],
[1/x/(x^8-3*x^4+1),x,4,ln(x)-1/40*(5+3*sqrt(5))*ln(3-sqrt(5)-2*x^4)-1/40*(5-3*sqrt(5))*ln(3+sqrt(5)-2*x^4),1],
[1/x^3/(x^8-3*x^4+1),x,6,-1/2/x^2-1/2*arctanh(sqrt(3/2-1/2*sqrt(5))*x^2)/sqrt(45+20*sqrt(5))+1/2*arctanh(sqrt(3/2+1/2*sqrt(5))*x^2)/sqrt(45-20*sqrt(5)),1],
[1/x^5/(x^8-3*x^4+1),x,3,-1/4/x^4+3*ln(x)-ln(3-sqrt(5)-2*x^4)/sqrt(5)/(3-sqrt(5))^2+ln(3+sqrt(5)-2*x^4)/sqrt(5)/(3+sqrt(5))^2,1],
[1/x^7/(x^8-3*x^4+1),x,6,-1/6/x^6-3/2/x^2-1/2*sqrt(123/10-11/2*sqrt(5))*arctanh(sqrt(3/2-1/2*sqrt(5))*x^2)+1/2*sqrt(123/10+11/2*sqrt(5))*arctanh(sqrt(3/2+1/2*sqrt(5))*x^2),1],
[x^8/(x^8-3*x^4+1),x,9,x-1/2*(123/2+55/2*sqrt(5))^(1/4)*arctan(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)+1/2*(123/2-55/2*sqrt(5))^(1/4)*arctan((3/2+1/2*sqrt(5))^(1/4)*x)/sqrt(5)-1/2*(123/2+55/2*sqrt(5))^(1/4)*arctanh(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)+1/2*(123/2-55/2*sqrt(5))^(1/4)*arctanh((3/2+1/2*sqrt(5))^(1/4)*x)/sqrt(5),1],
[x^6/(x^8-3*x^4+1),x,7,1/4*(3+sqrt(5))^(3/4)*arctan(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)*2^(1/4)/sqrt(5)-1/4*(144-64*sqrt(5))^(1/4)*arctan((3/2+1/2*sqrt(5))^(1/4)*x)/sqrt(5)-1/4*(3+sqrt(5))^(3/4)*arctanh(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)*2^(1/4)/sqrt(5)+1/4*(144-64*sqrt(5))^(1/4)*arctanh((3/2+1/2*sqrt(5))^(1/4)*x)/sqrt(5),1],
[x^4/(x^8-3*x^4+1),x,7,-1/2*(3/2+1/2*sqrt(5))^(1/4)*arctan(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)+1/2*(3/2-1/2*sqrt(5))^(1/4)*arctan((3/2+1/2*sqrt(5))^(1/4)*x)/sqrt(5)-1/2*(3/2+1/2*sqrt(5))^(1/4)*arctanh(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)+1/2*(3/2-1/2*sqrt(5))^(1/4)*arctanh((3/2+1/2*sqrt(5))^(1/4)*x)/sqrt(5),1],
[x^2/(x^8-3*x^4+1),x,7,1/20*sqrt(-10+10*sqrt(5))*arctan(1/2*sqrt(-2+2*sqrt(5))*x)-1/20*sqrt(10+10*sqrt(5))*arctan(1/2*sqrt(2+2*sqrt(5))*x)-1/20*sqrt(-10+10*sqrt(5))*arctanh(1/2*sqrt(-2+2*sqrt(5))*x)+1/20*sqrt(10+10*sqrt(5))*arctanh(1/2*sqrt(2+2*sqrt(5))*x),1],
[1/(x^8-3*x^4+1),x,7,-1/2*arctan(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)*2^(3/4)/sqrt(5)/(3+sqrt(5))^(3/4)+1/4*(3+sqrt(5))^(3/4)*arctan((3/2+1/2*sqrt(5))^(1/4)*x)*2^(1/4)/sqrt(5)-1/2*arctanh(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)*2^(3/4)/sqrt(5)/(3+sqrt(5))^(3/4)+1/4*(3+sqrt(5))^(3/4)*arctanh((3/2+1/2*sqrt(5))^(1/4)*x)*2^(1/4)/sqrt(5),1],
[1/x^2/(x^8-3*x^4+1),x,9,-1/x+1/2*(123/2-55/2*sqrt(5))^(1/4)*arctan(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)-1/8*(3+sqrt(5))^(5/4)*arctan((3/2+1/2*sqrt(5))^(1/4)*x)*2^(3/4)/sqrt(5)-1/2*(123/2-55/2*sqrt(5))^(1/4)*arctanh(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)+1/8*(3+sqrt(5))^(5/4)*arctanh((3/2+1/2*sqrt(5))^(1/4)*x)*2^(3/4)/sqrt(5),1],
[1/x^4/(x^8-3*x^4+1),x,9,-1/3/x^3-1/2*(843/2-377/2*sqrt(5))^(1/4)*arctan(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)+1/8*(3+sqrt(5))^(7/4)*arctan((3/2+1/2*sqrt(5))^(1/4)*x)*2^(1/4)/sqrt(5)-1/2*(843/2-377/2*sqrt(5))^(1/4)*arctanh(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)+1/8*(3+sqrt(5))^(7/4)*arctanh((3/2+1/2*sqrt(5))^(1/4)*x)*2^(1/4)/sqrt(5),1],
[1/x^6/(x^8-3*x^4+1),x,9,-1/5/x^5-3/x+1/2*(2889-1292*sqrt(5))^(1/4)*arctan(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)-1/2*(2889+1292*sqrt(5))^(1/4)*arctan((3/2+1/2*sqrt(5))^(1/4)*x)/sqrt(5)-1/2*(2889-1292*sqrt(5))^(1/4)*arctanh(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)+1/2*(2889+1292*sqrt(5))^(1/4)*arctanh((3/2+1/2*sqrt(5))^(1/4)*x)/sqrt(5),1],
[1/x^8/(x^8-3*x^4+1),x,9,-1/7/x^7-1/x^3-1/2*(39603/2-17711/2*sqrt(5))^(1/4)*arctan(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)+1/2*(39603/2+17711/2*sqrt(5))^(1/4)*arctan((3/2+1/2*sqrt(5))^(1/4)*x)/sqrt(5)-1/2*(39603/2-17711/2*sqrt(5))^(1/4)*arctanh(2^(1/4)*(1/(3+sqrt(5)))^(1/4)*x)/sqrt(5)+1/2*(39603/2+17711/2*sqrt(5))^(1/4)*arctanh((3/2+1/2*sqrt(5))^(1/4)*x)/sqrt(5),1],
[x^3/(x^8+3*x^4+2),x,4,1/4*ln(x^4+1)-1/4*ln(x^4+2),1],
[x^11/(x^8+3*x^4+2),x,3,1/4*x^4+1/4*ln(x^4+1)-ln(x^4+2),1],
[x^m/(c*x^8+b*x^4+a),x,3,2*c*x^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],-2*c*x^4/(b-sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/(b-sqrt(-4*a*c+b^2))/(1+m)-2*c*x^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],-2*c*x^4/(b+sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/(b+sqrt(-4*a*c+b^2))/(1+m),1],
[x^m/(x^8+x^4+1),x,3,2*x^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],-2*x^4/(1-I*sqrt(3)))/sqrt(3)/(I+sqrt(3))/(1+m)-2*x^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],-2*x^4/(1+I*sqrt(3)))/sqrt(3)/(I-sqrt(3))/(1+m),1],
[x^m/(x^8-x^4+1),x,3,2*x^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],2*x^4/(1-I*sqrt(3)))/sqrt(3)/(I+sqrt(3))/(1+m)-2*x^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],2*x^4/(1+I*sqrt(3)))/sqrt(3)/(I-sqrt(3))/(1+m),1],
[x^m/(x^8+3*x^4+1),x,3,2*x^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],-2*x^4/(3-sqrt(5)))/sqrt(5)/(3-sqrt(5))/(1+m)-2*x^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],-2*x^4/(3+sqrt(5)))/sqrt(5)/(3+sqrt(5))/(1+m),1],
[x^m/(x^8-3*x^4+1),x,3,2*x^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],2*x^4/(3-sqrt(5)))/sqrt(5)/(3-sqrt(5))/(1+m)-2*x^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],2*x^4/(3+sqrt(5)))/sqrt(5)/(3+sqrt(5))/(1+m),1]]: