This is a table of J[r]^(k)(t,x) defined in Richard Stanley's paper arXiv:2\ 101.02131v2 Let F^(k)_i be the k-bonacci numbers and let Prod( 1+t*x^F^(k)_{i+k-1), i=1..n)= Sum(a(n,k)*x^k,k=0..infinity) and let v_r(n,t) be the sum of the r-th power of the coefficients Let J[r,k] be the (ordinary) generating function with respect to x (no relat\ ion to the old x) J[2, 2](t, x), equals 2 2 1 - t (t + 1) x ----------------------------------------------- 2 2 2 4 3 1 + (-t - 1) x - t (t + 1) x + t (t + 1) x and in Maple format (1-t*(t^2+1)*x^2)/(1+(-t^2-1)*x-t*(t^2+1)*x^2+t*(t^4+1)*x^3) J[2, 3](t, x), equals 2 2 3 1 - t (t + 1) x ------------------------------------------------- 2 2 2 3 2 4 4 1 + (-t - 1) x - t (t + 1) x + t (t + 1) x and in Maple format (1-t^2*(t^2+1)*x^3)/(1+(-t^2-1)*x-t^2*(t^2+1)*x^3+t^2*(t^4+1)*x^4) J[2, 4](t, x), equals 3 2 4 1 - t (t + 1) x ------------------------------------------------- 2 3 2 4 3 4 5 1 + (-t - 1) x - t (t + 1) x + t (t + 1) x and in Maple format (1-t^3*(t^2+1)*x^4)/(1+(-t^2-1)*x-t^3*(t^2+1)*x^4+t^3*(t^4+1)*x^5) J[2, 5](t, x), equals 4 2 5 1 - t (t + 1) x ------------------------------------------------- 2 4 2 5 4 4 6 1 + (-t - 1) x - t (t + 1) x + t (t + 1) x and in Maple format (1-t^4*(t^2+1)*x^5)/(1+(-t^2-1)*x-t^4*(t^2+1)*x^5+t^4*(t^4+1)*x^6) J[2, 6](t, x), equals 5 2 6 1 - t (t + 1) x ------------------------------------------------- 2 5 2 6 5 4 7 1 + (-t - 1) x - t (t + 1) x + t (t + 1) x and in Maple format (1-t^5*(t^2+1)*x^6)/(1+(-t^2-1)*x-t^5*(t^2+1)*x^6+t^5*(t^4+1)*x^7) J[3, 2](t, x), equals 2 2 2 3 2 2 2 4 / (-1 + t (t - t + 1) (t + 1) x - t (t - 1) (t + t + 1) x ) / (-1 / 2 2 2 2 + (t + 1) (t - t + 1) x + t (t - t + 1) (t + 1) x 6 3 3 3 2 2 2 4 - t (t + 1) (t - t + 1) x - t (t - 1) (t + t + 1) x 3 2 2 2 2 5 + t (t + 1) (t - t + 1) (t - 1) (t + t + 1) x ) and in Maple format (-1+t*(t^2-t+1)*(t+1)^2*x^2-t^3*(t-1)^2*(t^2+t+1)^2*x^4)/(-1+(t+1)*(t^2-t+1)*x+ t*(t^2-t+1)*(t+1)^2*x^2-t*(t+1)*(t^6-t^3+1)*x^3-t^3*(t-1)^2*(t^2+t+1)^2*x^4+t^3 *(t+1)*(t^2-t+1)*(t-1)^2*(t^2+t+1)^2*x^5) J[3, 3](t, x), equals 2 2 2 3 6 2 2 2 6 / (-1 + t (t + 1) (t + 1) (t - t + 1) x - t (t - 1) (t + t + 1) x ) / ( / 2 2 2 2 3 -1 + (t + 1) (t - t + 1) x + t (t + 1) (t + 1) (t - t + 1) x 2 2 6 3 4 6 2 2 2 6 - t (t + 1) (t - t + 1) x - t (t - 1) (t + t + 1) x 6 2 2 2 2 7 + t (t + 1) (t - t + 1) (t - 1) (t + t + 1) x ) and in Maple format (-1+t^2*(t+1)*(t^2+1)*(t^2-t+1)*x^3-t^6*(t-1)^2*(t^2+t+1)^2*x^6)/(-1+(t+1)*(t^2 -t+1)*x+t^2*(t+1)*(t^2+1)*(t^2-t+1)*x^3-t^2*(t^2+1)*(t^6-t^3+1)*x^4-t^6*(t-1)^2 *(t^2+t+1)^2*x^6+t^6*(t+1)*(t^2-t+1)*(t-1)^2*(t^2+t+1)^2*x^7) J[3, 4](t, x), equals 3 2 2 2 4 9 2 2 2 8 / (-1 + t (t + 1) (t - t + 1) x - t (t - 1) (t + t + 1) x ) / (-1 / 2 3 2 2 2 4 + (t + 1) (t - t + 1) x + t (t + 1) (t - t + 1) x 3 2 6 3 5 9 2 2 2 8 - t (t + 1) (t - t + 1) (t - t + 1) x - t (t - 1) (t + t + 1) x 9 2 2 2 2 9 + t (t + 1) (t - t + 1) (t - 1) (t + t + 1) x ) and in Maple format (-1+t^3*(t+1)^2*(t^2-t+1)^2*x^4-t^9*(t-1)^2*(t^2+t+1)^2*x^8)/(-1+(t+1)*(t^2-t+1 )*x+t^3*(t+1)^2*(t^2-t+1)^2*x^4-t^3*(t+1)*(t^2-t+1)*(t^6-t^3+1)*x^5-t^9*(t-1)^2 *(t^2+t+1)^2*x^8+t^9*(t+1)*(t^2-t+1)*(t-1)^2*(t^2+t+1)^2*x^9) J[3, 5](t, x), equals 4 2 4 5 12 2 2 2 10 (-1 + t (t + 1) (t - t + 1) (t + 1) x - t (t - 1) (t + t + 1) x ) / 2 4 2 4 5 / (-1 + (t + 1) (t - t + 1) x + t (t + 1) (t - t + 1) (t + 1) x / 4 6 3 4 6 12 2 2 2 10 - t (t - t + 1) (t + 1) x - t (t - 1) (t + t + 1) x 12 2 2 2 2 11 + t (t + 1) (t - t + 1) (t - 1) (t + t + 1) x ) and in Maple format (-1+t^4*(t+1)*(t^2-t+1)*(t^4+1)*x^5-t^12*(t-1)^2*(t^2+t+1)^2*x^10)/(-1+(t+1)*(t ^2-t+1)*x+t^4*(t+1)*(t^2-t+1)*(t^4+1)*x^5-t^4*(t^6-t^3+1)*(t^4+1)*x^6-t^12*(t-1 )^2*(t^2+t+1)^2*x^10+t^12*(t+1)*(t^2-t+1)*(t-1)^2*(t^2+t+1)^2*x^11) J[3, 6](t, x), equals 5 2 4 3 2 2 6 (-1 + t (t - t + 1) (t - t + t - t + 1) (t + 1) x 15 2 2 2 12 / 2 - t (t - 1) (t + t + 1) x ) / (-1 + (t + 1) (t - t + 1) x / 5 2 4 3 2 2 6 + t (t - t + 1) (t - t + t - t + 1) (t + 1) x 5 4 3 2 6 3 7 - t (t + 1) (t - t + t - t + 1) (t - t + 1) x 15 2 2 2 12 - t (t - 1) (t + t + 1) x 15 2 2 2 2 13 + t (t + 1) (t - t + 1) (t - 1) (t + t + 1) x ) and in Maple format (-1+t^5*(t^2-t+1)*(t^4-t^3+t^2-t+1)*(t+1)^2*x^6-t^15*(t-1)^2*(t^2+t+1)^2*x^12)/ (-1+(t+1)*(t^2-t+1)*x+t^5*(t^2-t+1)*(t^4-t^3+t^2-t+1)*(t+1)^2*x^6-t^5*(t+1)*(t^ 4-t^3+t^2-t+1)*(t^6-t^3+1)*x^7-t^15*(t-1)^2*(t^2+t+1)^2*x^12+t^15*(t+1)*(t^2-t+ 1)*(t-1)^2*(t^2+t+1)^2*x^13) J[4, 2](t, x), equals 2 4 2 (1 - t (t + t + 1) (t + 1) x 3 10 9 8 6 5 4 2 4 + t (t + t + t - 4 t - 7 t - 4 t + t + t + 1) x 6 4 8 4 6 / 4 - t (t + 1) (t - t + 1) x ) / (1 + (-t - 1) x / 2 4 2 - t (t + t + 1) (t + 1) x 10 9 8 6 5 4 2 3 + t (t + t + t - 2 t - 4 t - 2 t + t + t + 1) x 3 10 9 8 6 5 4 2 4 + t (t + t + t - 4 t - 7 t - 4 t + t + t + 1) x 3 10 9 8 6 5 4 2 4 5 - t (t + t + t - 2 t - 3 t - 2 t + t + t + 1) (t + 1) x 6 4 8 4 6 6 8 8 4 7 - t (t + 1) (t - t + 1) x + t (t + 1) (t - t + 1) x ) and in Maple format (1-t*(t^2+t+1)*(t^4+1)*x^2+t^3*(t^10+t^9+t^8-4*t^6-7*t^5-4*t^4+t^2+t+1)*x^4-t^6 *(t^4+1)*(t^8-t^4+1)*x^6)/(1+(-t^4-1)*x-t*(t^2+t+1)*(t^4+1)*x^2+t*(t^10+t^9+t^8 -2*t^6-4*t^5-2*t^4+t^2+t+1)*x^3+t^3*(t^10+t^9+t^8-4*t^6-7*t^5-4*t^4+t^2+t+1)*x^ 4-t^3*(t^10+t^9+t^8-2*t^6-3*t^5-2*t^4+t^2+t+1)*(t^4+1)*x^5-t^6*(t^4+1)*(t^8-t^4 +1)*x^6+t^6*(t^8+1)*(t^8-t^4+1)*x^7) J[4, 3](t, x), equals 2 4 2 2 3 (1 - t (t + 1) (t + t + 1) (t - t + 1) x 6 3 3 3 2 3 2 6 + t (t + t + 1) (t + t - 1) (t + t + 1) (t - t - 1) x 12 4 8 4 9 / 4 - t (t + 1) (t - t + 1) x ) / (1 + (-t - 1) x / 2 4 2 2 3 - t (t + 1) (t + t + 1) (t - t + 1) x 2 12 10 8 6 4 2 4 + t (t + t - t - 4 t - t + t + 1) x 6 3 3 3 2 3 2 6 + t (t + t + 1) (t + t - 1) (t + t + 1) (t - t - 1) x 6 4 6 4 6 2 7 - t (t + 1) (t + t - 1) (t - t - 1) x 12 4 8 4 9 12 8 8 4 10 - t (t + 1) (t - t + 1) x + t (t + 1) (t - t + 1) x ) and in Maple format (1-t^2*(t^4+1)*(t^2+t+1)*(t^2-t+1)*x^3+t^6*(t^3+t+1)*(t^3+t-1)*(t^3+t^2+1)*(t^3 -t^2-1)*x^6-t^12*(t^4+1)*(t^8-t^4+1)*x^9)/(1+(-t^4-1)*x-t^2*(t^4+1)*(t^2+t+1)*( t^2-t+1)*x^3+t^2*(t^12+t^10-t^8-4*t^6-t^4+t^2+1)*x^4+t^6*(t^3+t+1)*(t^3+t-1)*(t ^3+t^2+1)*(t^3-t^2-1)*x^6-t^6*(t^4+1)*(t^6+t^4-1)*(t^6-t^2-1)*x^7-t^12*(t^4+1)* (t^8-t^4+1)*x^9+t^12*(t^8+1)*(t^8-t^4+1)*x^10) J[4, 4](t, x), equals 3 6 3 4 4 (1 - t (t + t + 1) (t + 1) x 9 14 11 10 8 7 6 4 3 8 + t (t + t - 4 t + t - 7 t + t - 4 t + t + 1) x 18 4 8 4 12 / 4 - t (t + 1) (t - t + 1) x ) / (1 + (-t - 1) x / 3 6 3 4 4 - t (t + t + 1) (t + 1) x 3 14 11 10 8 7 6 4 3 5 + t (t + t - 2 t + t - 4 t + t - 2 t + t + 1) x 9 14 11 10 8 7 6 4 3 8 + t (t + t - 4 t + t - 7 t + t - 4 t + t + 1) x 9 4 14 11 10 8 7 6 4 3 9 - t (t + 1) (t + t - 2 t + t - 3 t + t - 2 t + t + 1) x 18 4 8 4 12 18 8 8 4 13 - t (t + 1) (t - t + 1) x + t (t + 1) (t - t + 1) x ) and in Maple format (1-t^3*(t^6+t^3+1)*(t^4+1)*x^4+t^9*(t^14+t^11-4*t^10+t^8-7*t^7+t^6-4*t^4+t^3+1) *x^8-t^18*(t^4+1)*(t^8-t^4+1)*x^12)/(1+(-t^4-1)*x-t^3*(t^6+t^3+1)*(t^4+1)*x^4+t ^3*(t^14+t^11-2*t^10+t^8-4*t^7+t^6-2*t^4+t^3+1)*x^5+t^9*(t^14+t^11-4*t^10+t^8-7 *t^7+t^6-4*t^4+t^3+1)*x^8-t^9*(t^4+1)*(t^14+t^11-2*t^10+t^8-3*t^7+t^6-2*t^4+t^3 +1)*x^9-t^18*(t^4+1)*(t^8-t^4+1)*x^12+t^18*(t^8+1)*(t^8-t^4+1)*x^13) J[4, 5](t, x), equals 4 4 2 2 4 2 5 (1 - t (t + 1) (t + t + 1) (t - t + 1) (t - t + 1) x 12 16 12 8 4 10 24 4 8 4 15 + t (t - 3 t - 5 t - 3 t + 1) x - t (t + 1) (t - t + 1) x / 4 ) / (1 + (-t - 1) x / 4 4 2 2 4 2 5 - t (t + 1) (t + t + 1) (t - t + 1) (t - t + 1) x 4 16 12 8 4 6 + t (t - t - 2 t - t + 1) x 12 16 12 8 4 10 + t (t - 3 t - 5 t - 3 t + 1) x 12 4 16 12 8 4 11 - t (t + 1) (t - t - t - t + 1) x 24 4 8 4 15 24 8 8 4 16 - t (t + 1) (t - t + 1) x + t (t + 1) (t - t + 1) x ) and in Maple format (1-t^4*(t^4+1)*(t^2+t+1)*(t^2-t+1)*(t^4-t^2+1)*x^5+t^12*(t^16-3*t^12-5*t^8-3*t^ 4+1)*x^10-t^24*(t^4+1)*(t^8-t^4+1)*x^15)/(1+(-t^4-1)*x-t^4*(t^4+1)*(t^2+t+1)*(t ^2-t+1)*(t^4-t^2+1)*x^5+t^4*(t^16-t^12-2*t^8-t^4+1)*x^6+t^12*(t^16-3*t^12-5*t^8 -3*t^4+1)*x^10-t^12*(t^4+1)*(t^16-t^12-t^8-t^4+1)*x^11-t^24*(t^4+1)*(t^8-t^4+1) *x^15+t^24*(t^8+1)*(t^8-t^4+1)*x^16) J[4, 6](t, x), equals 5 2 4 8 7 5 4 3 6 (1 - t (t + t + 1) (t + 1) (t - t + t - t + t - t + 1) x 15 18 14 13 10 9 8 5 4 12 + t (t - 4 t + t + t - 7 t + t + t - 4 t + 1) x 30 4 8 4 18 / 4 - t (t + 1) (t - t + 1) x ) / (1 + (-t - 1) x / 5 2 4 8 7 5 4 3 6 - t (t + t + 1) (t + 1) (t - t + t - t + t - t + 1) x 5 18 14 13 10 9 8 5 4 7 + t (t - 2 t + t + t - 4 t + t + t - 2 t + 1) x 15 18 14 13 10 9 8 5 4 12 + t (t - 4 t + t + t - 7 t + t + t - 4 t + 1) x 15 4 18 14 13 10 9 8 5 4 13 - t (t + 1) (t - 2 t + t + t - 3 t + t + t - 2 t + 1) x 30 4 8 4 18 30 8 8 4 19 - t (t + 1) (t - t + 1) x + t (t + 1) (t - t + 1) x ) and in Maple format (1-t^5*(t^2+t+1)*(t^4+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*x^6+t^15*(t^18-4*t^14+t^13+t ^10-7*t^9+t^8+t^5-4*t^4+1)*x^12-t^30*(t^4+1)*(t^8-t^4+1)*x^18)/(1+(-t^4-1)*x-t^ 5*(t^2+t+1)*(t^4+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*x^6+t^5*(t^18-2*t^14+t^13+t^10-4* t^9+t^8+t^5-2*t^4+1)*x^7+t^15*(t^18-4*t^14+t^13+t^10-7*t^9+t^8+t^5-4*t^4+1)*x^ 12-t^15*(t^4+1)*(t^18-2*t^14+t^13+t^10-3*t^9+t^8+t^5-2*t^4+1)*x^13-t^30*(t^4+1) *(t^8-t^4+1)*x^18+t^30*(t^8+1)*(t^8-t^4+1)*x^19) J[5, 2](t, x), equals 2 2 2 3 14 13 12 11 10 9 (-1 + t (t + 1) %2 (t + 1) x - t (t + t + 2 t + t + t - 6 t 8 7 6 5 4 3 2 4 - 16 t - 21 t - 16 t - 6 t + t + t + 2 t + t + 1) x 6 12 10 7 6 5 2 2 6 + t %2 (t + t + 3 t + 5 t + 3 t + t + 1) (t + 1) x 10 2 2 4 3 2 2 8 / - t (t + t + 1) %1 (t - 1) (t + t + t + t + 1) x ) / (-1 / 2 2 2 + (t + 1) %2 x + t (t + 1) %2 (t + 1) x 12 10 7 6 5 2 3 3 14 13 - t (t + 1) (t + t - 3 t - 5 t - 3 t + t + 1) x - t (t + t 12 11 10 9 8 7 6 5 4 3 2 + 2 t + t + t - 6 t - 16 t - 21 t - 16 t - 6 t + t + t + 2 t 4 3 14 13 12 11 10 9 8 7 + t + 1) x + t (t + 1) %2 (t + t + 2 t + t + t - t - t - t 6 5 4 3 2 5 - t - t + t + t + 2 t + t + 1) x 6 12 10 7 6 5 2 2 6 + t %2 (t + t + 3 t + 5 t + 3 t + t + 1) (t + 1) x 6 22 20 12 11 10 2 7 - t (t + 1) (t + t + 3 t + 5 t + 3 t + t + 1) x 10 2 2 4 3 2 2 8 - t (t + t + 1) %1 (t - 1) (t + t + t + t + 1) x 10 2 2 4 3 2 2 9 + t (t + 1) (t + t + 1) %2 %1 (t - 1) (t + t + t + t + 1) x ) 8 7 5 4 3 %1 := t - t + t - t + t - t + 1 4 3 2 %2 := t - t + t - t + 1 and in Maple format (-1+t*(t^2+1)*(t^4-t^3+t^2-t+1)*(t+1)^2*x^2-t^3*(t^14+t^13+2*t^12+t^11+t^10-6*t ^9-16*t^8-21*t^7-16*t^6-6*t^5+t^4+t^3+2*t^2+t+1)*x^4+t^6*(t^4-t^3+t^2-t+1)*(t^ 12+t^10+3*t^7+5*t^6+3*t^5+t^2+1)*(t+1)^2*x^6-t^10*(t^2+t+1)*(t^8-t^7+t^5-t^4+t^ 3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^2*x^8)/(-1+(t+1)*(t^4-t^3+t^2-t+1)*x+t*(t^2+1) *(t^4-t^3+t^2-t+1)*(t+1)^2*x^2-t*(t+1)*(t^12+t^10-3*t^7-5*t^6-3*t^5+t^2+1)*x^3- t^3*(t^14+t^13+2*t^12+t^11+t^10-6*t^9-16*t^8-21*t^7-16*t^6-6*t^5+t^4+t^3+2*t^2+ t+1)*x^4+t^3*(t+1)*(t^4-t^3+t^2-t+1)*(t^14+t^13+2*t^12+t^11+t^10-t^9-t^8-t^7-t^ 6-t^5+t^4+t^3+2*t^2+t+1)*x^5+t^6*(t^4-t^3+t^2-t+1)*(t^12+t^10+3*t^7+5*t^6+3*t^5 +t^2+1)*(t+1)^2*x^6-t^6*(t+1)*(t^22+t^20+3*t^12+5*t^11+3*t^10+t^2+1)*x^7-t^10*( t^2+t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^2*x^8+t^10*(t+1)*( t^2+t+1)*(t^4-t^3+t^2-t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^ 2*x^9) J[5, 3](t, x), equals 2 2 4 3 6 18 16 14 13 12 (-1 + t (t + 1) (t + 1) %2 (t + 1) x - t (t + t + 2 t - 6 t + t 11 10 9 8 7 6 5 4 2 6 - 16 t + t - 21 t + t - 16 t + t - 6 t + 2 t + t + 1) x 12 2 14 10 9 7 5 4 9 + t (t + 1) (t + 1) %2 (t + t + 3 t + 5 t + 3 t + t + 1) x 20 2 2 4 3 2 2 12 / - t (t + t + 1) %1 (t - 1) (t + t + t + t + 1) x ) / (-1 / 2 2 4 3 + (t + 1) %2 x + t (t + 1) (t + 1) %2 (t + 1) x 2 2 14 10 9 7 5 4 4 6 18 16 - t (t + 1) (t + t - 3 t - 5 t - 3 t + t + 1) x - t (t + t 14 13 12 11 10 9 8 7 6 5 + 2 t - 6 t + t - 16 t + t - 21 t + t - 16 t + t - 6 t 4 2 6 6 18 16 14 13 12 11 + 2 t + t + 1) x + t (t + 1) %2 (t + t + 2 t - t + t - t 10 9 8 7 6 5 4 2 7 + t - t + t - t + t - t + 2 t + t + 1) x 12 2 14 10 9 7 5 4 9 + t (t + 1) (t + 1) %2 (t + t + 3 t + 5 t + 3 t + t + 1) x 12 2 24 20 14 12 10 4 10 - t (t + 1) (t + t + 3 t + 5 t + 3 t + t + 1) x 20 2 2 4 3 2 2 12 - t (t + t + 1) %1 (t - 1) (t + t + t + t + 1) x 20 2 2 4 3 2 2 13 + t (t + 1) (t + t + 1) %2 %1 (t - 1) (t + t + t + t + 1) x ) 8 7 5 4 3 %1 := t - t + t - t + t - t + 1 4 3 2 %2 := t - t + t - t + 1 and in Maple format (-1+t^2*(t+1)*(t^2+1)*(t^4-t^3+t^2-t+1)*(t^4+1)*x^3-t^6*(t^18+t^16+2*t^14-6*t^ 13+t^12-16*t^11+t^10-21*t^9+t^8-16*t^7+t^6-6*t^5+2*t^4+t^2+1)*x^6+t^12*(t+1)*(t ^2+1)*(t^4-t^3+t^2-t+1)*(t^14+t^10+3*t^9+5*t^7+3*t^5+t^4+1)*x^9-t^20*(t^2+t+1)* (t^8-t^7+t^5-t^4+t^3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^2*x^12)/(-1+(t+1)*(t^4-t^3+ t^2-t+1)*x+t^2*(t+1)*(t^2+1)*(t^4-t^3+t^2-t+1)*(t^4+1)*x^3-t^2*(t^2+1)*(t^14+t^ 10-3*t^9-5*t^7-3*t^5+t^4+1)*x^4-t^6*(t^18+t^16+2*t^14-6*t^13+t^12-16*t^11+t^10-\ 21*t^9+t^8-16*t^7+t^6-6*t^5+2*t^4+t^2+1)*x^6+t^6*(t+1)*(t^4-t^3+t^2-t+1)*(t^18+ t^16+2*t^14-t^13+t^12-t^11+t^10-t^9+t^8-t^7+t^6-t^5+2*t^4+t^2+1)*x^7+t^12*(t+1) *(t^2+1)*(t^4-t^3+t^2-t+1)*(t^14+t^10+3*t^9+5*t^7+3*t^5+t^4+1)*x^9-t^12*(t^2+1) *(t^24+t^20+3*t^14+5*t^12+3*t^10+t^4+1)*x^10-t^20*(t^2+t+1)*(t^8-t^7+t^5-t^4+t^ 3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^2*x^12+t^20*(t+1)*(t^2+t+1)*(t^4-t^3+t^2-t+1)* (t^8-t^7+t^5-t^4+t^3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^2*x^13) J[5, 4](t, x), equals 3 2 2 4 2 2 4 9 22 19 (-1 + t (t - t + 1) %2 (t + 1) (t - t + 1) (t + 1) x - t (t + t 17 16 14 13 12 11 10 9 8 6 - 6 t + 2 t - 16 t + t + t - 21 t + t + t - 16 t + 2 t 5 3 8 - 6 t + t + 1) x + 18 2 16 11 10 8 6 5 2 12 t (t - t + 1) %2 (t + 3 t + t + 5 t + t + 3 t + 1) (t + 1) x 30 2 2 4 3 2 2 16 / - t (t + t + 1) %1 (t - 1) (t + t + t + t + 1) x ) / (-1 / 3 2 2 4 2 2 4 + (t + 1) %2 x + t (t - t + 1) %2 (t + 1) (t - t + 1) (t + 1) x 3 2 16 11 10 8 6 5 5 - t (t + 1) (t - t + 1) (t - 3 t + t - 5 t + t - 3 t + 1) x - 9 22 19 17 16 14 13 12 11 10 9 t (t + t - 6 t + 2 t - 16 t + t + t - 21 t + t + t 8 6 5 3 8 9 22 19 17 - 16 t + 2 t - 6 t + t + 1) x + t (t + 1) %2 (t + t - t 16 14 13 12 11 10 9 8 6 5 3 9 + 2 t - t + t + t - t + t + t - t + 2 t - t + t + 1) x + 18 2 16 11 10 8 6 5 2 12 t (t - t + 1) %2 (t + 3 t + t + 5 t + t + 3 t + 1) (t + 1) x - 18 2 26 20 16 13 10 6 13 t (t + 1) (t - t + 1) (t + t + 3 t + 5 t + 3 t + t + 1) x 30 2 2 4 3 2 2 16 - t (t + t + 1) %1 (t - 1) (t + t + t + t + 1) x 30 2 2 4 3 2 2 17 + t (t + 1) (t + t + 1) %2 %1 (t - 1) (t + t + t + t + 1) x ) 8 7 5 4 3 %1 := t - t + t - t + t - t + 1 4 3 2 %2 := t - t + t - t + 1 and in Maple format (-1+t^3*(t^2-t+1)*(t^4-t^3+t^2-t+1)*(t^2+1)*(t^4-t^2+1)*(t+1)^2*x^4-t^9*(t^22+t ^19-6*t^17+2*t^16-16*t^14+t^13+t^12-21*t^11+t^10+t^9-16*t^8+2*t^6-6*t^5+t^3+1)* x^8+t^18*(t^2-t+1)*(t^4-t^3+t^2-t+1)*(t^16+3*t^11+t^10+5*t^8+t^6+3*t^5+1)*(t+1) ^2*x^12-t^30*(t^2+t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^2*x^ 16)/(-1+(t+1)*(t^4-t^3+t^2-t+1)*x+t^3*(t^2-t+1)*(t^4-t^3+t^2-t+1)*(t^2+1)*(t^4- t^2+1)*(t+1)^2*x^4-t^3*(t+1)*(t^2-t+1)*(t^16-3*t^11+t^10-5*t^8+t^6-3*t^5+1)*x^5 -t^9*(t^22+t^19-6*t^17+2*t^16-16*t^14+t^13+t^12-21*t^11+t^10+t^9-16*t^8+2*t^6-6 *t^5+t^3+1)*x^8+t^9*(t+1)*(t^4-t^3+t^2-t+1)*(t^22+t^19-t^17+2*t^16-t^14+t^13+t^ 12-t^11+t^10+t^9-t^8+2*t^6-t^5+t^3+1)*x^9+t^18*(t^2-t+1)*(t^4-t^3+t^2-t+1)*(t^ 16+3*t^11+t^10+5*t^8+t^6+3*t^5+1)*(t+1)^2*x^12-t^18*(t+1)*(t^2-t+1)*(t^26+t^20+ 3*t^16+5*t^13+3*t^10+t^6+1)*x^13-t^30*(t^2+t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t-1) ^2*(t^4+t^3+t^2+t+1)^2*x^16+t^30*(t+1)*(t^2+t+1)*(t^4-t^3+t^2-t+1)*(t^8-t^7+t^5 -t^4+t^3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^2*x^17) J[5, 5](t, x), equals 4 4 8 5 12 26 22 21 18 (-1 + t (t + 1) %2 (t + 1) (t + 1) x - t (t + t - 6 t + 2 t 17 16 14 13 12 10 9 8 5 4 - 16 t + t + t - 21 t + t + t - 16 t + 2 t - 6 t + t + 1) 10 x 24 4 18 13 10 9 8 5 15 + t (t + 1) %2 (t + 1) (t + 3 t + t + 5 t + t + 3 t + 1) x 40 2 2 4 3 2 2 20 / - t (t + t + 1) %1 (t - 1) (t + t + t + t + 1) x ) / (-1 / 4 4 8 5 + (t + 1) %2 x + t (t + 1) %2 (t + 1) (t + 1) x 4 4 18 13 10 9 8 5 6 12 26 - t (t + 1) (t - 3 t + t - 5 t + t - 3 t + 1) x - t (t 22 21 18 17 16 14 13 12 10 9 + t - 6 t + 2 t - 16 t + t + t - 21 t + t + t - 16 t 8 5 4 10 12 18 16 14 13 12 + 2 t - 6 t + t + 1) x + t (t + 1) %2 (t + t + t - t + t 11 10 9 8 7 6 5 4 2 - t + 2 t - t + 2 t - t + t - t + t + t + 1) 8 6 4 2 11 (t - t + t - t + 1) x 24 4 18 13 10 9 8 5 15 + t (t + 1) %2 (t + 1) (t + 3 t + t + 5 t + t + 3 t + 1) x 24 4 28 20 18 14 10 8 16 - t (t + 1) (t + t + 3 t + 5 t + 3 t + t + 1) x 40 2 2 4 3 2 2 20 - t (t + t + 1) %1 (t - 1) (t + t + t + t + 1) x 40 2 2 4 3 2 2 21 + t (t + 1) (t + t + 1) %2 %1 (t - 1) (t + t + t + t + 1) x ) 8 7 5 4 3 %1 := t - t + t - t + t - t + 1 4 3 2 %2 := t - t + t - t + 1 and in Maple format (-1+t^4*(t+1)*(t^4-t^3+t^2-t+1)*(t^4+1)*(t^8+1)*x^5-t^12*(t^26+t^22-6*t^21+2*t^ 18-16*t^17+t^16+t^14-21*t^13+t^12+t^10-16*t^9+2*t^8-6*t^5+t^4+1)*x^10+t^24*(t+1 )*(t^4-t^3+t^2-t+1)*(t^4+1)*(t^18+3*t^13+t^10+5*t^9+t^8+3*t^5+1)*x^15-t^40*(t^2 +t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^2*x^20)/(-1+(t+1)*(t^ 4-t^3+t^2-t+1)*x+t^4*(t+1)*(t^4-t^3+t^2-t+1)*(t^4+1)*(t^8+1)*x^5-t^4*(t^4+1)*(t ^18-3*t^13+t^10-5*t^9+t^8-3*t^5+1)*x^6-t^12*(t^26+t^22-6*t^21+2*t^18-16*t^17+t^ 16+t^14-21*t^13+t^12+t^10-16*t^9+2*t^8-6*t^5+t^4+1)*x^10+t^12*(t+1)*(t^4-t^3+t^ 2-t+1)*(t^18+t^16+t^14-t^13+t^12-t^11+2*t^10-t^9+2*t^8-t^7+t^6-t^5+t^4+t^2+1)*( t^8-t^6+t^4-t^2+1)*x^11+t^24*(t+1)*(t^4-t^3+t^2-t+1)*(t^4+1)*(t^18+3*t^13+t^10+ 5*t^9+t^8+3*t^5+1)*x^15-t^24*(t^4+1)*(t^28+t^20+3*t^18+5*t^14+3*t^10+t^8+1)*x^ 16-t^40*(t^2+t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^2*x^20+t^ 40*(t+1)*(t^2+t+1)*(t^4-t^3+t^2-t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t-1)^2*(t^4+t^3 +t^2+t+1)^2*x^21) J[5, 6](t, x), equals 5 2 8 6 4 2 2 2 6 (-1 + t (t + 1) (t - t + t - t + 1) (t + 1) %2 x 15 30 25 20 15 10 5 12 - t (t - 5 t - 13 t - 19 t - 13 t - 5 t + 1) x 30 20 15 10 5 2 2 18 + t (t + 3 t + 7 t + 3 t + 1) (t + 1) %2 x 50 2 2 4 3 2 2 24 / - t (t + t + 1) %1 (t - 1) (t + t + t + t + 1) x ) / (-1 / 5 2 8 6 4 2 2 2 6 + (t + 1) %2 x + t (t + 1) (t - t + t - t + 1) (t + 1) %2 x 5 20 15 10 5 7 - t (t + 1) %2 (t - 3 t - 3 t - 3 t + 1) x 15 30 25 20 15 10 5 12 - t (t - 5 t - 13 t - 19 t - 13 t - 5 t + 1) x 15 30 20 15 10 13 + t (t + 1) %2 (t + 2 t + t + 2 t + 1) x 30 20 15 10 5 2 2 18 + t (t + 3 t + 7 t + 3 t + 1) (t + 1) %2 x 30 30 20 15 10 19 - t (t + 1) %2 (t + 4 t + 5 t + 4 t + 1) x 50 2 2 4 3 2 2 24 - t (t + t + 1) %1 (t - 1) (t + t + t + t + 1) x 50 2 2 4 3 2 2 25 + t (t + 1) (t + t + 1) %2 %1 (t - 1) (t + t + t + t + 1) x ) 8 7 5 4 3 %1 := t - t + t - t + t - t + 1 4 3 2 %2 := t - t + t - t + 1 and in Maple format (-1+t^5*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t+1)^2*(t^4-t^3+t^2-t+1)^2*x^6-t^15*(t^30-\ 5*t^25-13*t^20-19*t^15-13*t^10-5*t^5+1)*x^12+t^30*(t^20+3*t^15+7*t^10+3*t^5+1)* (t+1)^2*(t^4-t^3+t^2-t+1)^2*x^18-t^50*(t^2+t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t-1) ^2*(t^4+t^3+t^2+t+1)^2*x^24)/(-1+(t+1)*(t^4-t^3+t^2-t+1)*x+t^5*(t^2+1)*(t^8-t^6 +t^4-t^2+1)*(t+1)^2*(t^4-t^3+t^2-t+1)^2*x^6-t^5*(t+1)*(t^4-t^3+t^2-t+1)*(t^20-3 *t^15-3*t^10-3*t^5+1)*x^7-t^15*(t^30-5*t^25-13*t^20-19*t^15-13*t^10-5*t^5+1)*x^ 12+t^15*(t+1)*(t^4-t^3+t^2-t+1)*(t^30+2*t^20+t^15+2*t^10+1)*x^13+t^30*(t^20+3*t ^15+7*t^10+3*t^5+1)*(t+1)^2*(t^4-t^3+t^2-t+1)^2*x^18-t^30*(t+1)*(t^4-t^3+t^2-t+ 1)*(t^30+4*t^20+5*t^15+4*t^10+1)*x^19-t^50*(t^2+t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)* (t-1)^2*(t^4+t^3+t^2+t+1)^2*x^24+t^50*(t+1)*(t^2+t+1)*(t^4-t^3+t^2-t+1)*(t^8-t^ 7+t^5-t^4+t^3-t+1)*(t-1)^2*(t^4+t^3+t^2+t+1)^2*x^25) J[6, 2](t, x), equals 2 4 3 2 4 2 2 3 18 17 16 (1 - t (t + 1) (t + t + t + t + 1) (t - t + 1) x + t (t + t + 2 t 15 14 13 12 11 10 9 8 7 + 2 t + 2 t + t - 7 t - 28 t - 48 t - 57 t - 48 t - 28 t 6 5 4 3 2 4 6 2 2 - 7 t + t + 2 t + 2 t + 2 t + t + 1) x - t (t + 1) (t + t + 1) 4 2 (t - t + 1) 16 14 13 10 9 8 7 6 3 2 6 (t + t + t + 11 t + 25 t + 31 t + 25 t + 11 t + t + t + 1) x 10 2 14 11 9 8 7 6 5 3 + t (t + t + 1) (t + t - t - 5 t - 9 t - 5 t - t + t + 1) 2 2 4 2 2 8 (t + 1) (t - t + 1) x 15 12 6 2 3 4 2 3 10 / - t (t - t + 1) (t + 1) (t - t + 1) x ) / (1 / 2 4 2 - (t + 1) (t - t + 1) x 2 4 3 2 4 2 2 16 15 14 - t (t + 1) (t + t + t + t + 1) (t - t + 1) x + t (t + t + t 13 12 10 9 8 7 6 4 3 2 + t + t - 4 t - 13 t - 18 t - 13 t - 4 t + t + t + t + t + 1) 3 3 18 17 16 15 14 13 12 11 10 x + t (t + t + 2 t + 2 t + 2 t + t - 7 t - 28 t - 48 t 9 8 7 6 5 4 3 2 4 3 - 57 t - 48 t - 28 t - 7 t + t + 2 t + 2 t + 2 t + t + 1) x - t 2 4 2 18 17 16 15 14 13 12 (t + 1) (t - t + 1) (t + t + 2 t + 2 t + 2 t + t + 2 t 11 10 9 8 7 6 5 4 3 2 + 6 t + 16 t + 21 t + 16 t + 6 t + 2 t + t + 2 t + 2 t + 2 t 5 6 2 2 4 2 + t + 1) x - t (t + 1) (t + t + 1) (t - t + 1) 16 14 13 10 9 8 7 6 3 2 6 (t + t + t + 11 t + 25 t + 31 t + 25 t + 11 t + t + t + 1) x 6 30 29 28 27 26 25 24 23 22 + t (t + t + 2 t + 2 t + 2 t + t + 2 t + 2 t + 3 t 21 20 19 18 17 16 15 14 13 + 3 t + 3 t + 2 t + 3 t + 8 t + 19 t + 22 t + 19 t + 8 t 12 11 10 9 8 7 6 5 4 3 + 3 t + 2 t + 3 t + 3 t + 3 t + 2 t + 2 t + t + 2 t + 2 t 2 7 10 2 + 2 t + t + 1) x + t (t + t + 1) 14 11 9 8 7 6 5 3 2 2 (t + t - t - 5 t - 9 t - 5 t - t + t + 1) (t + 1) 4 2 2 8 10 2 4 2 28 27 26 25 24 (t - t + 1) x - t (t + 1) (t - t + 1) (t + t + t + t + t 20 16 15 14 13 12 8 4 3 2 + t - 4 t - 13 t - 18 t - 13 t - 4 t + t + t + t + t + t 9 15 12 6 2 3 4 2 3 10 + 1) x - t (t - t + 1) (t + 1) (t - t + 1) x 15 4 8 4 12 6 2 2 4 2 2 11 + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t - t + 1) x ) and in Maple format (1-t*(t^2+1)*(t^4+t^3+t^2+t+1)*(t^4-t^2+1)*x^2+t^3*(t^18+t^17+2*t^16+2*t^15+2*t ^14+t^13-7*t^12-28*t^11-48*t^10-57*t^9-48*t^8-28*t^7-7*t^6+t^5+2*t^4+2*t^3+2*t^ 2+t+1)*x^4-t^6*(t^2+1)*(t^2+t+1)*(t^4-t^2+1)*(t^16+t^14+t^13+11*t^10+25*t^9+31* t^8+25*t^7+11*t^6+t^3+t^2+1)*x^6+t^10*(t^2+t+1)*(t^14+t^11-t^9-5*t^8-9*t^7-5*t^ 6-t^5+t^3+1)*(t^2+1)^2*(t^4-t^2+1)^2*x^8-t^15*(t^12-t^6+1)*(t^2+1)^3*(t^4-t^2+1 )^3*x^10)/(1-(t^2+1)*(t^4-t^2+1)*x-t*(t^2+1)*(t^4+t^3+t^2+t+1)*(t^4-t^2+1)*x^2+ t*(t^16+t^15+t^14+t^13+t^12-4*t^10-13*t^9-18*t^8-13*t^7-4*t^6+t^4+t^3+t^2+t+1)* x^3+t^3*(t^18+t^17+2*t^16+2*t^15+2*t^14+t^13-7*t^12-28*t^11-48*t^10-57*t^9-48*t ^8-28*t^7-7*t^6+t^5+2*t^4+2*t^3+2*t^2+t+1)*x^4-t^3*(t^2+1)*(t^4-t^2+1)*(t^18+t^ 17+2*t^16+2*t^15+2*t^14+t^13+2*t^12+6*t^11+16*t^10+21*t^9+16*t^8+6*t^7+2*t^6+t^ 5+2*t^4+2*t^3+2*t^2+t+1)*x^5-t^6*(t^2+1)*(t^2+t+1)*(t^4-t^2+1)*(t^16+t^14+t^13+ 11*t^10+25*t^9+31*t^8+25*t^7+11*t^6+t^3+t^2+1)*x^6+t^6*(t^30+t^29+2*t^28+2*t^27 +2*t^26+t^25+2*t^24+2*t^23+3*t^22+3*t^21+3*t^20+2*t^19+3*t^18+8*t^17+19*t^16+22 *t^15+19*t^14+8*t^13+3*t^12+2*t^11+3*t^10+3*t^9+3*t^8+2*t^7+2*t^6+t^5+2*t^4+2*t ^3+2*t^2+t+1)*x^7+t^10*(t^2+t+1)*(t^14+t^11-t^9-5*t^8-9*t^7-5*t^6-t^5+t^3+1)*(t ^2+1)^2*(t^4-t^2+1)^2*x^8-t^10*(t^2+1)*(t^4-t^2+1)*(t^28+t^27+t^26+t^25+t^24+t^ 20-4*t^16-13*t^15-18*t^14-13*t^13-4*t^12+t^8+t^4+t^3+t^2+t+1)*x^9-t^15*(t^12-t^ 6+1)*(t^2+1)^3*(t^4-t^2+1)^3*x^10+t^15*(t^4+1)*(t^8-t^4+1)*(t^12-t^6+1)*(t^2+1) ^2*(t^4-t^2+1)^2*x^11) J[6, 3](t, x), equals 2 2 4 2 4 3 2 4 3 2 3 (1 - t (t + 1) (t - t + 1) (t + t + t + t + 1) (t - t + t - t + 1) x 6 24 22 20 18 16 14 12 10 + t (t + t + 2 t - 6 t - 26 t - 47 t - 55 t - 47 t 8 6 4 2 6 12 2 2 - 26 t - 6 t + 2 t + t + 1) x - t (t + 1) (t + t + 1) 2 4 2 (t - t + 1) (t - t + 1) 20 16 14 12 10 8 6 4 9 20 (t + t + 11 t + 26 t + 31 t + 26 t + 11 t + t + 1) x + t 2 2 16 10 8 6 2 2 (t + t + 1) (t - t + 1) (t - 5 t - 9 t - 5 t + 1) (t + 1) 4 2 2 12 30 12 6 2 3 4 2 3 15 / (t - t + 1) x - t (t - t + 1) (t + 1) (t - t + 1) x ) / ( / 2 4 2 1 - (t + 1) (t - t + 1) x - 2 2 4 2 4 3 2 4 3 2 3 t (t + 1) (t - t + 1) (t + t + t + t + 1) (t - t + t - t + 1) x 2 + t 20 18 16 14 12 10 8 6 4 2 4 (t + t + t - 3 t - 12 t - 18 t - 12 t - 3 t + t + t + 1) x 6 24 22 20 18 16 14 12 10 + t (t + t + 2 t - 6 t - 26 t - 47 t - 55 t - 47 t 8 6 4 2 6 6 2 4 2 24 22 - 26 t - 6 t + 2 t + t + 1) x - t (t + 1) (t - t + 1) (t + t 20 18 16 14 12 10 8 6 4 + 2 t + 3 t + 8 t + 17 t + 23 t + 17 t + 8 t + 3 t + 2 t 2 7 12 2 2 2 4 2 + t + 1) x - t (t + 1) (t + t + 1) (t - t + 1) (t - t + 1) 20 16 14 12 10 8 6 4 9 12 (t + t + 11 t + 26 t + 31 t + 26 t + 11 t + t + 1) x + t ( 36 34 32 30 28 26 24 22 20 t + t + 2 t + 3 t + 4 t + 4 t + 6 t + 11 t + 21 t 18 16 14 12 10 8 6 4 2 + 24 t + 21 t + 11 t + 6 t + 4 t + 4 t + 3 t + 2 t + t + 1) 10 20 2 2 16 10 8 6 x + t (t + t + 1) (t - t + 1) (t - 5 t - 9 t - 5 t + 1) 2 2 4 2 2 12 20 4 2 28 26 24 22 (t + 1) (t - t + 1) x - t (t - t + 1) (t - t + 2 t - 2 t 20 18 16 14 12 10 8 6 4 2 + 3 t - 3 t - t - 8 t - t - 3 t + 3 t - 2 t + 2 t - t + 1) 2 3 13 30 12 6 2 3 4 2 3 15 (t + 1) x - t (t - t + 1) (t + 1) (t - t + 1) x 30 4 8 4 12 6 2 2 4 2 2 16 + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t - t + 1) x ) and in Maple format (1-t^2*(t^2+1)*(t^4-t^2+1)*(t^4+t^3+t^2+t+1)*(t^4-t^3+t^2-t+1)*x^3+t^6*(t^24+t^ 22+2*t^20-6*t^18-26*t^16-47*t^14-55*t^12-47*t^10-26*t^8-6*t^6+2*t^4+t^2+1)*x^6- t^12*(t^2+1)*(t^2+t+1)*(t^2-t+1)*(t^4-t^2+1)*(t^20+t^16+11*t^14+26*t^12+31*t^10 +26*t^8+11*t^6+t^4+1)*x^9+t^20*(t^2+t+1)*(t^2-t+1)*(t^16-5*t^10-9*t^8-5*t^6+1)* (t^2+1)^2*(t^4-t^2+1)^2*x^12-t^30*(t^12-t^6+1)*(t^2+1)^3*(t^4-t^2+1)^3*x^15)/(1 -(t^2+1)*(t^4-t^2+1)*x-t^2*(t^2+1)*(t^4-t^2+1)*(t^4+t^3+t^2+t+1)*(t^4-t^3+t^2-t +1)*x^3+t^2*(t^20+t^18+t^16-3*t^14-12*t^12-18*t^10-12*t^8-3*t^6+t^4+t^2+1)*x^4+ t^6*(t^24+t^22+2*t^20-6*t^18-26*t^16-47*t^14-55*t^12-47*t^10-26*t^8-6*t^6+2*t^4 +t^2+1)*x^6-t^6*(t^2+1)*(t^4-t^2+1)*(t^24+t^22+2*t^20+3*t^18+8*t^16+17*t^14+23* t^12+17*t^10+8*t^8+3*t^6+2*t^4+t^2+1)*x^7-t^12*(t^2+1)*(t^2+t+1)*(t^2-t+1)*(t^4 -t^2+1)*(t^20+t^16+11*t^14+26*t^12+31*t^10+26*t^8+11*t^6+t^4+1)*x^9+t^12*(t^36+ t^34+2*t^32+3*t^30+4*t^28+4*t^26+6*t^24+11*t^22+21*t^20+24*t^18+21*t^16+11*t^14 +6*t^12+4*t^10+4*t^8+3*t^6+2*t^4+t^2+1)*x^10+t^20*(t^2+t+1)*(t^2-t+1)*(t^16-5*t ^10-9*t^8-5*t^6+1)*(t^2+1)^2*(t^4-t^2+1)^2*x^12-t^20*(t^4-t^2+1)*(t^28-t^26+2*t ^24-2*t^22+3*t^20-3*t^18-t^16-8*t^14-t^12-3*t^10+3*t^8-2*t^6+2*t^4-t^2+1)*(t^2+ 1)^3*x^13-t^30*(t^12-t^6+1)*(t^2+1)^3*(t^4-t^2+1)^3*x^15+t^30*(t^4+1)*(t^8-t^4+ 1)*(t^12-t^6+1)*(t^2+1)^2*(t^4-t^2+1)^2*x^16) J[6, 4](t, x), equals 3 2 4 2 4 3 2 (1 - t (t + 1) (t - t + 1) (t + t + t + t + 1) 8 7 5 4 3 4 9 30 27 24 21 (t - t + t - t + t - t + 1) x + t (t + t - 6 t - 26 t 18 15 12 9 6 3 8 18 2 - 45 t - 55 t - 45 t - 26 t - 6 t + t + 1) x - t (t + 1) 4 2 30 27 24 21 18 15 12 (t - t + 1) (t + t + 12 t + 38 t + 70 t + 83 t + 70 t 9 6 3 12 30 + 38 t + 12 t + t + 1) x + t 24 21 18 15 12 9 6 3 2 2 (t + t - 5 t - 14 t - 17 t - 14 t - 5 t + t + 1) (t + 1) 4 2 2 16 45 12 6 2 3 4 2 3 20 / (t - t + 1) x - t (t - t + 1) (t + 1) (t - t + 1) x ) / ( / 2 4 2 3 2 4 2 1 - (t + 1) (t - t + 1) x - t (t + 1) (t - t + 1) 4 3 2 8 7 5 4 3 4 (t + t + t + t + 1) (t - t + t - t + t - t + 1) x 3 6 3 18 12 9 6 5 9 30 27 + t (t + t + 1) (t - 4 t - 8 t - 4 t + 1) x + t (t + t 24 21 18 15 12 9 6 3 8 - 6 t - 26 t - 45 t - 55 t - 45 t - 26 t - 6 t + t + 1) x - 9 6 3 2 4 2 t (t + t + 1) (t + 1) (t - t + 1) 24 18 15 12 9 6 9 18 2 (t + 2 t + 6 t + 11 t + 6 t + 2 t + 1) x - t (t + 1) 4 2 30 27 24 21 18 15 12 (t - t + 1) (t + t + 12 t + 38 t + 70 t + 83 t + 70 t 9 6 3 12 18 + 38 t + 12 t + t + 1) x + t 30 27 21 18 15 12 9 3 12 6 (t + t + t + 6 t + 8 t + 6 t + t + t + 1) (t + 3 t + 1) 13 30 24 21 18 15 12 9 6 3 x + t (t + t - 5 t - 14 t - 17 t - 14 t - 5 t + t + 1) 2 2 4 2 2 16 30 2 4 2 36 33 30 (t + 1) (t - t + 1) x - t (t + 1) (t - t + 1) (t + t + t 27 24 21 18 15 12 9 6 3 17 + t - 2 t - 13 t - 18 t - 13 t - 2 t + t + t + t + 1) x 45 12 6 2 3 4 2 3 20 - t (t - t + 1) (t + 1) (t - t + 1) x 45 4 8 4 12 6 2 2 4 2 2 21 + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t - t + 1) x ) and in Maple format (1-t^3*(t^2+1)*(t^4-t^2+1)*(t^4+t^3+t^2+t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*x^4+t^9* (t^30+t^27-6*t^24-26*t^21-45*t^18-55*t^15-45*t^12-26*t^9-6*t^6+t^3+1)*x^8-t^18* (t^2+1)*(t^4-t^2+1)*(t^30+t^27+12*t^24+38*t^21+70*t^18+83*t^15+70*t^12+38*t^9+ 12*t^6+t^3+1)*x^12+t^30*(t^24+t^21-5*t^18-14*t^15-17*t^12-14*t^9-5*t^6+t^3+1)*( t^2+1)^2*(t^4-t^2+1)^2*x^16-t^45*(t^12-t^6+1)*(t^2+1)^3*(t^4-t^2+1)^3*x^20)/(1- (t^2+1)*(t^4-t^2+1)*x-t^3*(t^2+1)*(t^4-t^2+1)*(t^4+t^3+t^2+t+1)*(t^8-t^7+t^5-t^ 4+t^3-t+1)*x^4+t^3*(t^6+t^3+1)*(t^18-4*t^12-8*t^9-4*t^6+1)*x^5+t^9*(t^30+t^27-6 *t^24-26*t^21-45*t^18-55*t^15-45*t^12-26*t^9-6*t^6+t^3+1)*x^8-t^9*(t^6+t^3+1)*( t^2+1)*(t^4-t^2+1)*(t^24+2*t^18+6*t^15+11*t^12+6*t^9+2*t^6+1)*x^9-t^18*(t^2+1)* (t^4-t^2+1)*(t^30+t^27+12*t^24+38*t^21+70*t^18+83*t^15+70*t^12+38*t^9+12*t^6+t^ 3+1)*x^12+t^18*(t^30+t^27+t^21+6*t^18+8*t^15+6*t^12+t^9+t^3+1)*(t^12+3*t^6+1)*x ^13+t^30*(t^24+t^21-5*t^18-14*t^15-17*t^12-14*t^9-5*t^6+t^3+1)*(t^2+1)^2*(t^4-t ^2+1)^2*x^16-t^30*(t^2+1)*(t^4-t^2+1)*(t^36+t^33+t^30+t^27-2*t^24-13*t^21-18*t^ 18-13*t^15-2*t^12+t^9+t^6+t^3+1)*x^17-t^45*(t^12-t^6+1)*(t^2+1)^3*(t^4-t^2+1)^3 *x^20+t^45*(t^4+1)*(t^8-t^4+1)*(t^12-t^6+1)*(t^2+1)^2*(t^4-t^2+1)^2*x^21) J[6, 5](t, x), equals 4 2 4 2 4 3 2 4 3 2 (1 - t (t + 1) (t - t + 1) (t + t + t + t + 1) (t - t + t - t + 1) 8 6 4 2 5 12 36 32 30 28 26 (t - t + t - t + 1) x + t (t + t - 8 t + 2 t - 28 t 24 22 20 18 16 14 12 10 8 + 3 t - 48 t + 3 t - 57 t + 3 t - 48 t + 3 t - 28 t + 2 t 6 4 10 24 2 2 2 - 8 t + t + 1) x - t (t + 1) (t + t + 1) (t - t + 1) 4 2 32 30 28 26 24 22 20 18 (t - t + 1) (t - t + t + 10 t - 9 t + 35 t - 23 t + 55 t 16 14 12 10 8 6 4 2 15 - 29 t + 55 t - 23 t + 35 t - 9 t + 10 t + t - t + 1) x + 40 24 22 20 18 16 14 12 10 8 t (t - t + t - 6 t + 6 t - 15 t + 11 t - 15 t + 6 t 6 4 2 2 2 2 2 4 2 2 - 6 t + t - t + 1) (t + t + 1) (t - t + 1) (t + 1) (t - t + 1) 20 60 12 6 2 3 4 2 3 25 / x - t (t - t + 1) (t + 1) (t - t + 1) x ) / (1 / 2 4 2 4 2 4 2 - (t + 1) (t - t + 1) x - t (t + 1) (t - t + 1) 4 3 2 4 3 2 8 6 4 2 5 (t + t + t + t + 1) (t - t + t - t + 1) (t - t + t - t + 1) x 4 4 24 18 16 14 12 10 8 6 6 + t (t + 1) (t - 4 t + t - 9 t + t - 9 t + t - 4 t + 1) x 12 36 32 30 28 26 24 22 20 + t (t + t - 8 t + 2 t - 28 t + 3 t - 48 t + 3 t 18 16 14 12 10 8 6 4 10 - 57 t + 3 t - 48 t + 3 t - 28 t + 2 t - 8 t + t + 1) x - 12 2 4 2 36 32 30 28 26 24 t (t + 1) (t - t + 1) (t + t + t + 2 t + 6 t + 3 t 22 20 18 16 14 12 10 8 6 + 16 t + 3 t + 21 t + 3 t + 16 t + 3 t + 6 t + 2 t + t 4 11 24 2 2 2 4 2 32 + t + 1) x - t (t + 1) (t + t + 1) (t - t + 1) (t - t + 1) (t 30 28 26 24 22 20 18 16 14 - t + t + 10 t - 9 t + 35 t - 23 t + 55 t - 29 t + 55 t 12 10 8 6 4 2 15 24 4 44 - 23 t + 35 t - 9 t + 10 t + t - t + 1) x + t (t + 1) (t 38 36 34 32 30 28 26 24 22 + t + 2 t + t + 2 t + 2 t + 8 t + 2 t + 12 t + 3 t 20 18 16 14 12 10 8 6 16 40 + 12 t + 2 t + 8 t + 2 t + 2 t + t + 2 t + t + 1) x + t 24 22 20 18 16 14 12 10 8 6 (t - t + t - 6 t + 6 t - 15 t + 11 t - 15 t + 6 t - 6 t 4 2 2 2 2 2 4 2 2 20 + t - t + 1) (t + t + 1) (t - t + 1) (t + 1) (t - t + 1) x - 40 2 4 2 40 36 32 28 26 24 20 t (t + 1) (t - t + 1) (t + t + t - 3 t + t - 12 t - 18 t 16 14 12 8 4 21 - 12 t + t - 3 t + t + t + 1) x 60 12 6 2 3 4 2 3 25 - t (t - t + 1) (t + 1) (t - t + 1) x 60 4 8 4 12 6 2 2 4 2 2 26 + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t - t + 1) x ) and in Maple format (1-t^4*(t^2+1)*(t^4-t^2+1)*(t^4+t^3+t^2+t+1)*(t^4-t^3+t^2-t+1)*(t^8-t^6+t^4-t^2 +1)*x^5+t^12*(t^36+t^32-8*t^30+2*t^28-28*t^26+3*t^24-48*t^22+3*t^20-57*t^18+3*t ^16-48*t^14+3*t^12-28*t^10+2*t^8-8*t^6+t^4+1)*x^10-t^24*(t^2+1)*(t^2+t+1)*(t^2- t+1)*(t^4-t^2+1)*(t^32-t^30+t^28+10*t^26-9*t^24+35*t^22-23*t^20+55*t^18-29*t^16 +55*t^14-23*t^12+35*t^10-9*t^8+10*t^6+t^4-t^2+1)*x^15+t^40*(t^24-t^22+t^20-6*t^ 18+6*t^16-15*t^14+11*t^12-15*t^10+6*t^8-6*t^6+t^4-t^2+1)*(t^2+t+1)*(t^2-t+1)*(t ^2+1)^2*(t^4-t^2+1)^2*x^20-t^60*(t^12-t^6+1)*(t^2+1)^3*(t^4-t^2+1)^3*x^25)/(1-( t^2+1)*(t^4-t^2+1)*x-t^4*(t^2+1)*(t^4-t^2+1)*(t^4+t^3+t^2+t+1)*(t^4-t^3+t^2-t+1 )*(t^8-t^6+t^4-t^2+1)*x^5+t^4*(t^4+1)*(t^24-4*t^18+t^16-9*t^14+t^12-9*t^10+t^8-\ 4*t^6+1)*x^6+t^12*(t^36+t^32-8*t^30+2*t^28-28*t^26+3*t^24-48*t^22+3*t^20-57*t^ 18+3*t^16-48*t^14+3*t^12-28*t^10+2*t^8-8*t^6+t^4+1)*x^10-t^12*(t^2+1)*(t^4-t^2+ 1)*(t^36+t^32+t^30+2*t^28+6*t^26+3*t^24+16*t^22+3*t^20+21*t^18+3*t^16+16*t^14+3 *t^12+6*t^10+2*t^8+t^6+t^4+1)*x^11-t^24*(t^2+1)*(t^2+t+1)*(t^2-t+1)*(t^4-t^2+1) *(t^32-t^30+t^28+10*t^26-9*t^24+35*t^22-23*t^20+55*t^18-29*t^16+55*t^14-23*t^12 +35*t^10-9*t^8+10*t^6+t^4-t^2+1)*x^15+t^24*(t^4+1)*(t^44+t^38+2*t^36+t^34+2*t^ 32+2*t^30+8*t^28+2*t^26+12*t^24+3*t^22+12*t^20+2*t^18+8*t^16+2*t^14+2*t^12+t^10 +2*t^8+t^6+1)*x^16+t^40*(t^24-t^22+t^20-6*t^18+6*t^16-15*t^14+11*t^12-15*t^10+6 *t^8-6*t^6+t^4-t^2+1)*(t^2+t+1)*(t^2-t+1)*(t^2+1)^2*(t^4-t^2+1)^2*x^20-t^40*(t^ 2+1)*(t^4-t^2+1)*(t^40+t^36+t^32-3*t^28+t^26-12*t^24-18*t^20-12*t^16+t^14-3*t^ 12+t^8+t^4+1)*x^21-t^60*(t^12-t^6+1)*(t^2+1)^3*(t^4-t^2+1)^3*x^25+t^60*(t^4+1)* (t^8-t^4+1)*(t^12-t^6+1)*(t^2+1)^2*(t^4-t^2+1)^2*x^26) J[6, 6](t, x), equals 5 2 4 2 20 15 10 5 6 15 42 37 (1 - t (t + 1) (t - t + 1) (t + t + t + t + 1) x + t (t + t 36 32 31 30 27 26 25 22 21 - 8 t + 2 t - 28 t + t + 2 t - 48 t + t + 2 t - 57 t 20 17 16 15 12 11 10 6 5 12 + 2 t + t - 48 t + 2 t + t - 28 t + 2 t - 8 t + t + 1) x 30 2 2 4 2 40 39 37 36 35 - t (t + t + 1) (t + 1) (t - t + 1) (t - t + t - t + t 34 33 32 31 30 29 28 27 + 10 t - 11 t + t + 10 t - 9 t + 35 t - 25 t - 10 t 26 25 24 23 22 21 20 19 + 35 t - 23 t + 55 t - 31 t - 24 t + 55 t - 29 t + 55 t 18 17 16 15 14 13 12 11 - 24 t - 31 t + 55 t - 23 t + 35 t - 10 t - 25 t + 35 t 10 9 8 7 6 5 4 3 18 50 - 9 t + 10 t + t - 11 t + 10 t + t - t + t - t + 1) x + t 2 30 29 27 26 25 24 23 22 21 (t + t + 1) (t - t + t - t + t - 6 t + 5 t + t - 6 t 20 19 18 17 16 15 14 13 + 6 t - 15 t + 10 t + 5 t - 15 t + 11 t - 15 t + 5 t 12 11 10 9 8 7 6 5 4 3 + 10 t - 15 t + 6 t - 6 t + t + 5 t - 6 t + t - t + t - t + 1 2 2 4 2 2 24 ) (t + 1) (t - t + 1) x 75 12 6 2 3 4 2 3 30 / - t (t - t + 1) (t + 1) (t - t + 1) x ) / (1 / 2 4 2 - (t + 1) (t - t + 1) x 5 2 4 2 20 15 10 5 6 5 32 27 - t (t + 1) (t - t + 1) (t + t + t + t + 1) x + t (t + t 26 22 21 20 17 16 15 12 11 10 - 4 t + t - 13 t + t + t - 18 t + t + t - 13 t + t 6 5 7 15 42 37 36 32 31 30 - 4 t + t + 1) x + t (t + t - 8 t + 2 t - 28 t + t 27 26 25 22 21 20 17 16 15 + 2 t - 48 t + t + 2 t - 57 t + 2 t + t - 48 t + 2 t 12 11 10 6 5 12 15 2 4 2 + t - 28 t + 2 t - 8 t + t + 1) x - t (t + 1) (t - t + 1) ( 42 37 36 32 31 30 27 26 25 22 t + t + t + 2 t + 6 t + t + 2 t + 16 t + t + 2 t 21 20 17 16 15 12 11 10 6 5 + 21 t + 2 t + t + 16 t + 2 t + t + 6 t + 2 t + t + t 13 30 2 2 4 2 40 39 37 36 + 1) x - t (t + t + 1) (t + 1) (t - t + 1) (t - t + t - t 35 34 33 32 31 30 29 28 27 + t + 10 t - 11 t + t + 10 t - 9 t + 35 t - 25 t - 10 t 26 25 24 23 22 21 20 19 + 35 t - 23 t + 55 t - 31 t - 24 t + 55 t - 29 t + 55 t 18 17 16 15 14 13 12 11 - 24 t - 31 t + 55 t - 23 t + 35 t - 10 t - 25 t + 35 t 10 9 8 7 6 5 4 3 18 30 - 9 t + 10 t + t - 11 t + 10 t + t - t + t - t + 1) x + t ( 54 49 48 44 43 42 39 38 37 36 t + t + t + 2 t + 2 t + 2 t + 2 t + 3 t + 8 t + t 34 33 32 31 30 29 28 27 26 + 2 t + 3 t + 19 t + 2 t + t + t + 3 t + 22 t + 3 t 25 24 23 22 21 20 18 17 16 15 + t + t + 2 t + 19 t + 3 t + 2 t + t + 8 t + 3 t + 2 t 12 11 10 6 5 19 50 2 30 29 + 2 t + 2 t + 2 t + t + t + 1) x + t (t + t + 1) (t - t 27 26 25 24 23 22 21 20 19 18 + t - t + t - 6 t + 5 t + t - 6 t + 6 t - 15 t + 10 t 17 16 15 14 13 12 11 10 + 5 t - 15 t + 11 t - 15 t + 5 t + 10 t - 15 t + 6 t 9 8 7 6 5 4 3 2 2 4 2 2 - 6 t + t + 5 t - 6 t + t - t + t - t + 1) (t + 1) (t - t + 1) 24 50 2 4 2 44 39 34 32 29 28 x - t (t + 1) (t - t + 1) (t + t + t - 4 t + t + t 27 24 22 20 17 16 15 12 10 5 - 13 t + t - 18 t + t - 13 t + t + t - 4 t + t + t + 1) 25 75 12 6 2 3 4 2 3 30 x - t (t - t + 1) (t + 1) (t - t + 1) x 75 4 8 4 12 6 2 2 4 2 2 31 + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t - t + 1) x ) and in Maple format (1-t^5*(t^2+1)*(t^4-t^2+1)*(t^20+t^15+t^10+t^5+1)*x^6+t^15*(t^42+t^37-8*t^36+2* t^32-28*t^31+t^30+2*t^27-48*t^26+t^25+2*t^22-57*t^21+2*t^20+t^17-48*t^16+2*t^15 +t^12-28*t^11+2*t^10-8*t^6+t^5+1)*x^12-t^30*(t^2+t+1)*(t^2+1)*(t^4-t^2+1)*(t^40 -t^39+t^37-t^36+t^35+10*t^34-11*t^33+t^32+10*t^31-9*t^30+35*t^29-25*t^28-10*t^ 27+35*t^26-23*t^25+55*t^24-31*t^23-24*t^22+55*t^21-29*t^20+55*t^19-24*t^18-31*t ^17+55*t^16-23*t^15+35*t^14-10*t^13-25*t^12+35*t^11-9*t^10+10*t^9+t^8-11*t^7+10 *t^6+t^5-t^4+t^3-t+1)*x^18+t^50*(t^2+t+1)*(t^30-t^29+t^27-t^26+t^25-6*t^24+5*t^ 23+t^22-6*t^21+6*t^20-15*t^19+10*t^18+5*t^17-15*t^16+11*t^15-15*t^14+5*t^13+10* t^12-15*t^11+6*t^10-6*t^9+t^8+5*t^7-6*t^6+t^5-t^4+t^3-t+1)*(t^2+1)^2*(t^4-t^2+1 )^2*x^24-t^75*(t^12-t^6+1)*(t^2+1)^3*(t^4-t^2+1)^3*x^30)/(1-(t^2+1)*(t^4-t^2+1) *x-t^5*(t^2+1)*(t^4-t^2+1)*(t^20+t^15+t^10+t^5+1)*x^6+t^5*(t^32+t^27-4*t^26+t^ 22-13*t^21+t^20+t^17-18*t^16+t^15+t^12-13*t^11+t^10-4*t^6+t^5+1)*x^7+t^15*(t^42 +t^37-8*t^36+2*t^32-28*t^31+t^30+2*t^27-48*t^26+t^25+2*t^22-57*t^21+2*t^20+t^17 -48*t^16+2*t^15+t^12-28*t^11+2*t^10-8*t^6+t^5+1)*x^12-t^15*(t^2+1)*(t^4-t^2+1)* (t^42+t^37+t^36+2*t^32+6*t^31+t^30+2*t^27+16*t^26+t^25+2*t^22+21*t^21+2*t^20+t^ 17+16*t^16+2*t^15+t^12+6*t^11+2*t^10+t^6+t^5+1)*x^13-t^30*(t^2+t+1)*(t^2+1)*(t^ 4-t^2+1)*(t^40-t^39+t^37-t^36+t^35+10*t^34-11*t^33+t^32+10*t^31-9*t^30+35*t^29-\ 25*t^28-10*t^27+35*t^26-23*t^25+55*t^24-31*t^23-24*t^22+55*t^21-29*t^20+55*t^19 -24*t^18-31*t^17+55*t^16-23*t^15+35*t^14-10*t^13-25*t^12+35*t^11-9*t^10+10*t^9+ t^8-11*t^7+10*t^6+t^5-t^4+t^3-t+1)*x^18+t^30*(t^54+t^49+t^48+2*t^44+2*t^43+2*t^ 42+2*t^39+3*t^38+8*t^37+t^36+2*t^34+3*t^33+19*t^32+2*t^31+t^30+t^29+3*t^28+22*t ^27+3*t^26+t^25+t^24+2*t^23+19*t^22+3*t^21+2*t^20+t^18+8*t^17+3*t^16+2*t^15+2*t ^12+2*t^11+2*t^10+t^6+t^5+1)*x^19+t^50*(t^2+t+1)*(t^30-t^29+t^27-t^26+t^25-6*t^ 24+5*t^23+t^22-6*t^21+6*t^20-15*t^19+10*t^18+5*t^17-15*t^16+11*t^15-15*t^14+5*t ^13+10*t^12-15*t^11+6*t^10-6*t^9+t^8+5*t^7-6*t^6+t^5-t^4+t^3-t+1)*(t^2+1)^2*(t^ 4-t^2+1)^2*x^24-t^50*(t^2+1)*(t^4-t^2+1)*(t^44+t^39+t^34-4*t^32+t^29+t^28-13*t^ 27+t^24-18*t^22+t^20-13*t^17+t^16+t^15-4*t^12+t^10+t^5+1)*x^25-t^75*(t^12-t^6+1 )*(t^2+1)^3*(t^4-t^2+1)^3*x^30+t^75*(t^4+1)*(t^8-t^4+1)*(t^12-t^6+1)*(t^2+1)^2* (t^4-t^2+1)^2*x^31) J[7, 2](t, x), equals 2 2 2 2 3 2 20 18 (-1 + t (t + t + 1) (t - t + 1) %3 (t + 1) x - t (t + t + 1) (t + t 17 16 14 13 12 11 10 9 8 + t + t + t - 10 t - 33 t - 48 t - 50 t - 48 t - 33 t 7 6 4 3 2 4 6 22 20 19 18 - 10 t + t + t + t + t + 1) x + t %3 (t + 2 t + t + 2 t 17 16 15 14 13 12 11 10 + t + 2 t + 20 t + 71 t + 146 t + 216 t + 244 t + 216 t 9 8 7 6 5 4 3 2 2 6 + 146 t + 71 t + 20 t + 2 t + t + 2 t + t + 2 t + 1) (t + 1) x 10 36 35 34 33 32 31 30 29 28 - t (t + t + 2 t + 2 t + 3 t + 2 t + 2 t - 13 t - 62 t 27 26 25 24 23 22 21 - 147 t - 231 t - 266 t - 231 t - 147 t - 81 t - 97 t 20 19 18 17 16 15 14 - 203 t - 331 t - 383 t - 331 t - 203 t - 97 t - 81 t 13 12 11 10 9 8 7 6 - 147 t - 231 t - 266 t - 231 t - 147 t - 62 t - 13 t + 2 t 5 4 3 2 8 15 + 2 t + 3 t + 2 t + 2 t + t + 1) x + t %3 %1 16 15 14 9 8 7 2 2 2 2 (t - t + t + 5 t + 9 t + 5 t + t - t + 1) (t + 1) (t + t + 1) 10 21 2 2 2 2 12 / x - t (t - 1) %2 (t + t + 1) %1 x ) / (-1 + (t + 1) %3 x / 2 2 2 2 + t (t + t + 1) (t - t + 1) %3 (t + 1) x - t (t + 1) 16 15 14 9 8 7 2 2 3 3 (t - t + t - 5 t - 9 t - 5 t + t - t + 1) (t + t + 1) x - t 2 20 18 17 16 14 13 12 11 (t + t + 1) (t + t + t + t + t - 10 t - 33 t - 48 t 10 9 8 7 6 4 3 2 4 3 - 50 t - 48 t - 33 t - 10 t + t + t + t + t + 1) x + t (t + 1) 20 18 17 16 14 13 12 11 10 9 (t + t + t + t + t + 4 t + 16 t + 36 t + 48 t + 36 t 8 7 6 4 3 2 2 5 6 22 + 16 t + 4 t + t + t + t + t + 1) (t + t + 1) %3 x + t %3 (t 20 19 18 17 16 15 14 13 12 + 2 t + t + 2 t + t + 2 t + 20 t + 71 t + 146 t + 216 t 11 10 9 8 7 6 5 4 3 + 244 t + 216 t + 146 t + 71 t + 20 t + 2 t + t + 2 t + t 2 2 6 6 36 34 33 32 31 + 2 t + 1) (t + 1) x - t (t + 1) (t + 2 t + t + 2 t + t 30 29 28 27 26 25 24 23 21 + 2 t + t + t - 4 t - 13 t - 18 t - 13 t - 4 t + t 20 18 16 15 13 12 11 10 9 + 2 t + 2 t + 2 t + t - 4 t - 13 t - 18 t - 13 t - 4 t 8 7 6 5 4 3 2 7 10 36 35 34 + t + t + 2 t + t + 2 t + t + 2 t + 1) x - t (t + t + 2 t 33 32 31 30 29 28 27 26 + 2 t + 3 t + 2 t + 2 t - 13 t - 62 t - 147 t - 231 t 25 24 23 22 21 20 19 - 266 t - 231 t - 147 t - 81 t - 97 t - 203 t - 331 t 18 17 16 15 14 13 12 - 383 t - 331 t - 203 t - 97 t - 81 t - 147 t - 231 t 11 10 9 8 7 6 5 4 3 - 266 t - 231 t - 147 t - 62 t - 13 t + 2 t + 2 t + 3 t + 2 t 2 8 10 36 35 34 33 32 + 2 t + t + 1) x + t (t + 1) %3 (t + t + 2 t + 2 t + 3 t 31 30 29 28 22 21 20 19 18 + 2 t + 2 t + t + t - 4 t - 20 t - 56 t - 100 t - 117 t 17 16 15 14 8 7 6 5 4 3 - 100 t - 56 t - 20 t - 4 t + t + t + 2 t + 2 t + 3 t + 2 t 2 9 15 + 2 t + t + 1) x + t %3 %1 16 15 14 9 8 7 2 2 2 2 (t - t + t + 5 t + 9 t + 5 t + t - t + 1) (t + 1) (t + t + 1) 10 15 30 29 28 16 15 14 2 x - t (t + 1) (t - t + t + 5 t + 9 t + 5 t + t - t + 1) %1 2 2 11 21 2 2 2 2 12 (t + t + 1) x - t (t - 1) %2 (t + t + 1) %1 x 21 2 2 2 2 13 + t (t + 1) %3 (t - 1) %2 (t + t + 1) %1 x ) 12 11 9 8 6 4 3 %1 := t - t + t - t + t - t + t - t + 1 6 5 4 3 2 2 %2 := (t + t + t + t + t + t + 1) 6 5 4 3 2 %3 := t - t + t - t + t - t + 1 and in Maple format (-1+t*(t^2+t+1)*(t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t+1)^2*x^2-t^3*(t^2+t+1)*( t^20+t^18+t^17+t^16+t^14-10*t^13-33*t^12-48*t^11-50*t^10-48*t^9-33*t^8-10*t^7+t ^6+t^4+t^3+t^2+1)*x^4+t^6*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^22+2*t^20+t^19+2*t^18+t^ 17+2*t^16+20*t^15+71*t^14+146*t^13+216*t^12+244*t^11+216*t^10+146*t^9+71*t^8+20 *t^7+2*t^6+t^5+2*t^4+t^3+2*t^2+1)*(t+1)^2*x^6-t^10*(t^36+t^35+2*t^34+2*t^33+3*t ^32+2*t^31+2*t^30-13*t^29-62*t^28-147*t^27-231*t^26-266*t^25-231*t^24-147*t^23-\ 81*t^22-97*t^21-203*t^20-331*t^19-383*t^18-331*t^17-203*t^16-97*t^15-81*t^14-\ 147*t^13-231*t^12-266*t^11-231*t^10-147*t^9-62*t^8-13*t^7+2*t^6+2*t^5+3*t^4+2*t ^3+2*t^2+t+1)*x^8+t^15*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t^3 -t+1)*(t^16-t^15+t^14+5*t^9+9*t^8+5*t^7+t^2-t+1)*(t+1)^2*(t^2+t+1)^2*x^10-t^21* (t-1)^2*(t^6+t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t^3- t+1)^2*x^12)/(-1+(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*x+t*(t^2+t+1)*(t^2-t+1)*(t^6-t ^5+t^4-t^3+t^2-t+1)*(t+1)^2*x^2-t*(t+1)*(t^16-t^15+t^14-5*t^9-9*t^8-5*t^7+t^2-t +1)*(t^2+t+1)*x^3-t^3*(t^2+t+1)*(t^20+t^18+t^17+t^16+t^14-10*t^13-33*t^12-48*t^ 11-50*t^10-48*t^9-33*t^8-10*t^7+t^6+t^4+t^3+t^2+1)*x^4+t^3*(t+1)*(t^20+t^18+t^ 17+t^16+t^14+4*t^13+16*t^12+36*t^11+48*t^10+36*t^9+16*t^8+4*t^7+t^6+t^4+t^3+t^2 +1)*(t^2+t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*x^5+t^6*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^22 +2*t^20+t^19+2*t^18+t^17+2*t^16+20*t^15+71*t^14+146*t^13+216*t^12+244*t^11+216* t^10+146*t^9+71*t^8+20*t^7+2*t^6+t^5+2*t^4+t^3+2*t^2+1)*(t+1)^2*x^6-t^6*(t+1)*( t^36+2*t^34+t^33+2*t^32+t^31+2*t^30+t^29+t^28-4*t^27-13*t^26-18*t^25-13*t^24-4* t^23+t^21+2*t^20+2*t^18+2*t^16+t^15-4*t^13-13*t^12-18*t^11-13*t^10-4*t^9+t^8+t^ 7+2*t^6+t^5+2*t^4+t^3+2*t^2+1)*x^7-t^10*(t^36+t^35+2*t^34+2*t^33+3*t^32+2*t^31+ 2*t^30-13*t^29-62*t^28-147*t^27-231*t^26-266*t^25-231*t^24-147*t^23-81*t^22-97* t^21-203*t^20-331*t^19-383*t^18-331*t^17-203*t^16-97*t^15-81*t^14-147*t^13-231* t^12-266*t^11-231*t^10-147*t^9-62*t^8-13*t^7+2*t^6+2*t^5+3*t^4+2*t^3+2*t^2+t+1) *x^8+t^10*(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^36+t^35+2*t^34+2*t^33+3*t^32+2*t^ 31+2*t^30+t^29+t^28-4*t^22-20*t^21-56*t^20-100*t^19-117*t^18-100*t^17-56*t^16-\ 20*t^15-4*t^14+t^8+t^7+2*t^6+2*t^5+3*t^4+2*t^3+2*t^2+t+1)*x^9+t^15*(t^6-t^5+t^4 -t^3+t^2-t+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*(t^16-t^15+t^14+5*t^9+9*t^8+5 *t^7+t^2-t+1)*(t+1)^2*(t^2+t+1)^2*x^10-t^15*(t+1)*(t^30-t^29+t^28+5*t^16+9*t^15 +5*t^14+t^2-t+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*(t^2+t+1)^2*x^11-t^21*(t-1 )^2*(t^6+t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1) ^2*x^12+t^21*(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t-1)^2*(t^6+t^5+t^4+t^3+t^2+t+1)^ 2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)^2*x^13) J[7, 3](t, x), equals 2 2 2 2 4 2 3 6 (-1 + t (t + 1) (t + t + 1) (t - t + 1) %3 (t + 1) (t - t + 1) x - t 2 24 22 20 18 17 16 15 14 (t + 1) (t - t + 2 t - t - 10 t + 2 t - 23 t - 2 t 13 12 11 10 9 8 7 6 4 2 - 25 t + 3 t - 25 t - 2 t - 23 t + 2 t - 10 t - t + 2 t - t 2 2 6 12 2 28 27 + 1) (t - t + 1) (t + t + 1) x + t (t + 1) (t - t + 1) %3 (t + t 25 24 23 22 21 20 19 18 17 - t + t + 2 t + 2 t + 20 t + 20 t + 70 t + 51 t + 127 t 16 15 14 13 12 11 10 9 + 78 t + 167 t + 90 t + 167 t + 78 t + 127 t + 51 t + 70 t 8 7 6 5 4 3 2 9 20 44 + 20 t + 20 t + 2 t + 2 t + t - t + t + 1) (t + 1) x - t (t 42 40 38 37 36 35 34 33 32 + t + 2 t + 2 t - 14 t + 3 t - 63 t + 2 t - 147 t + 2 t 31 30 29 28 27 26 25 - 231 t - 17 t - 266 t - 82 t - 231 t - 203 t - 147 t 24 23 22 21 20 19 18 - 331 t - 77 t - 383 t - 77 t - 331 t - 147 t - 203 t 17 16 15 14 13 12 11 10 - 231 t - 82 t - 266 t - 17 t - 231 t + 2 t - 147 t + 2 t 9 8 7 6 4 2 12 30 2 - 63 t + 3 t - 14 t + 2 t + 2 t + t + 1) x + t (t + 1) (t + 1) 2 18 16 14 11 9 7 4 2 (t - t + 1) %3 (t - t + t + 5 t + 9 t + 5 t + t - t + 1) %1 2 2 15 42 2 2 2 2 18 / (t + t + 1) x - t (t - 1) %2 (t + t + 1) %1 x ) / (-1 / + (t + 1) %3 x 2 2 2 2 4 2 3 2 + t (t + 1) (t + t + 1) (t - t + 1) %3 (t + 1) (t - t + 1) x - t 2 2 2 (t + 1) (t + t + 1) (t - t + 1) 18 16 14 11 9 7 4 2 4 6 2 24 (t - t + t - 5 t - 9 t - 5 t + t - t + 1) x - t (t + 1) (t 22 20 18 17 16 15 14 13 12 - t + 2 t - t - 10 t + 2 t - 23 t - 2 t - 25 t + 3 t 11 10 9 8 7 6 4 2 2 - 25 t - 2 t - 23 t + 2 t - 10 t - t + 2 t - t + 1) (t - t + 1) 2 6 6 2 2 2 24 (t + t + 1) x + t (t + 1) (t + 1) (t + t + 1) (t - t + 1) %3 (t 22 20 18 17 16 15 14 13 12 - t + 2 t - t + 4 t + 2 t + 12 t - 2 t + 24 t + 3 t 11 10 9 8 7 6 4 2 7 12 + 24 t - 2 t + 12 t + 2 t + 4 t - t + 2 t - t + 1) x + t 2 28 27 25 24 23 22 21 (t + 1) (t - t + 1) %3 (t + t - t + t + 2 t + 2 t + 20 t 20 19 18 17 16 15 14 13 + 20 t + 70 t + 51 t + 127 t + 78 t + 167 t + 90 t + 167 t 12 11 10 9 8 7 6 5 4 + 78 t + 127 t + 51 t + 70 t + 20 t + 20 t + 2 t + 2 t + t 3 2 9 12 2 2 42 41 39 - t + t + 1) (t + 1) x - t (t + 1) (t - t + 1) (t + t - t 38 37 36 35 34 31 30 29 28 + t + 2 t + 2 t + t + t - 4 t - 2 t - 11 t - 9 t 27 26 25 24 23 22 21 20 19 - 16 t - 6 t - 3 t + 5 t + 4 t - t - 4 t - t + 4 t 18 17 16 15 14 13 12 11 8 + 5 t - 3 t - 6 t - 16 t - 9 t - 11 t - 2 t - 4 t + t 7 6 5 4 3 10 20 44 42 40 38 + t + 2 t + 2 t + t - t + t + 1) x - t (t + t + 2 t + 2 t 37 36 35 34 33 32 31 30 - 14 t + 3 t - 63 t + 2 t - 147 t + 2 t - 231 t - 17 t 29 28 27 26 25 24 23 - 266 t - 82 t - 231 t - 203 t - 147 t - 331 t - 77 t 22 21 20 19 18 17 16 - 383 t - 77 t - 331 t - 147 t - 203 t - 231 t - 82 t 15 14 13 12 11 10 9 8 - 266 t - 17 t - 231 t + 2 t - 147 t + 2 t - 63 t + 3 t 7 6 4 2 12 20 44 42 40 - 14 t + 2 t + 2 t + t + 1) x + t (t + 1) %3 (t + t + 2 t 38 36 34 32 30 28 26 24 + 2 t + 3 t + 2 t + 2 t - 3 t - 19 t - 56 t - 100 t 22 20 18 16 14 12 10 8 - 117 t - 100 t - 56 t - 19 t - 3 t + 2 t + 2 t + 3 t 6 4 2 13 30 2 2 + 2 t + 2 t + t + 1) x + t (t + 1) (t + 1) (t - t + 1) %3 18 16 14 11 9 7 4 2 2 2 15 (t - t + t + 5 t + 9 t + 5 t + t - t + 1) %1 (t + t + 1) x 30 2 2 - t (t + 1) (t - t + 1) %1 32 30 28 18 16 14 4 2 2 2 16 (t - t + t + 5 t + 9 t + 5 t + t - t + 1) (t + t + 1) x 42 2 2 2 2 18 - t (t - 1) %2 (t + t + 1) %1 x 42 2 2 2 2 19 + t (t + 1) %3 (t - 1) %2 (t + t + 1) %1 x ) 12 11 9 8 6 4 3 %1 := t - t + t - t + t - t + t - t + 1 6 5 4 3 2 2 %2 := (t + t + t + t + t + t + 1) 6 5 4 3 2 %3 := t - t + t - t + t - t + 1 and in Maple format (-1+t^2*(t+1)*(t^2+t+1)*(t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^2+1)*(t^4-t^2+1) *x^3-t^6*(t^2+1)*(t^24-t^22+2*t^20-t^18-10*t^17+2*t^16-23*t^15-2*t^14-25*t^13+3 *t^12-25*t^11-2*t^10-23*t^9+2*t^8-10*t^7-t^6+2*t^4-t^2+1)*(t^2-t+1)*(t^2+t+1)*x ^6+t^12*(t+1)*(t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^28+t^27-t^25+t^24+2*t^23+2 *t^22+20*t^21+20*t^20+70*t^19+51*t^18+127*t^17+78*t^16+167*t^15+90*t^14+167*t^ 13+78*t^12+127*t^11+51*t^10+70*t^9+20*t^8+20*t^7+2*t^6+2*t^5+t^4-t^3+t+1)*(t^2+ 1)*x^9-t^20*(t^44+t^42+2*t^40+2*t^38-14*t^37+3*t^36-63*t^35+2*t^34-147*t^33+2*t ^32-231*t^31-17*t^30-266*t^29-82*t^28-231*t^27-203*t^26-147*t^25-331*t^24-77*t^ 23-383*t^22-77*t^21-331*t^20-147*t^19-203*t^18-231*t^17-82*t^16-266*t^15-17*t^ 14-231*t^13+2*t^12-147*t^11+2*t^10-63*t^9+3*t^8-14*t^7+2*t^6+2*t^4+t^2+1)*x^12+ t^30*(t+1)*(t^2+1)*(t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^18-t^16+t^14+5*t^11+9 *t^9+5*t^7+t^4-t^2+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*(t^2+t+1)^2*x^15-t^42 *(t-1)^2*(t^6+t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t^3 -t+1)^2*x^18)/(-1+(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*x+t^2*(t+1)*(t^2+t+1)*(t^2-t+ 1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^2+1)*(t^4-t^2+1)*x^3-t^2*(t^2+1)*(t^2+t+1)*(t^2 -t+1)*(t^18-t^16+t^14-5*t^11-9*t^9-5*t^7+t^4-t^2+1)*x^4-t^6*(t^2+1)*(t^24-t^22+ 2*t^20-t^18-10*t^17+2*t^16-23*t^15-2*t^14-25*t^13+3*t^12-25*t^11-2*t^10-23*t^9+ 2*t^8-10*t^7-t^6+2*t^4-t^2+1)*(t^2-t+1)*(t^2+t+1)*x^6+t^6*(t+1)*(t^2+1)*(t^2+t+ 1)*(t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^24-t^22+2*t^20-t^18+4*t^17+2*t^16+12* t^15-2*t^14+24*t^13+3*t^12+24*t^11-2*t^10+12*t^9+2*t^8+4*t^7-t^6+2*t^4-t^2+1)*x ^7+t^12*(t+1)*(t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^28+t^27-t^25+t^24+2*t^23+2 *t^22+20*t^21+20*t^20+70*t^19+51*t^18+127*t^17+78*t^16+167*t^15+90*t^14+167*t^ 13+78*t^12+127*t^11+51*t^10+70*t^9+20*t^8+20*t^7+2*t^6+2*t^5+t^4-t^3+t+1)*(t^2+ 1)*x^9-t^12*(t^2+1)*(t^2-t+1)*(t^42+t^41-t^39+t^38+2*t^37+2*t^36+t^35+t^34-4*t^ 31-2*t^30-11*t^29-9*t^28-16*t^27-6*t^26-3*t^25+5*t^24+4*t^23-t^22-4*t^21-t^20+4 *t^19+5*t^18-3*t^17-6*t^16-16*t^15-9*t^14-11*t^13-2*t^12-4*t^11+t^8+t^7+2*t^6+2 *t^5+t^4-t^3+t+1)*x^10-t^20*(t^44+t^42+2*t^40+2*t^38-14*t^37+3*t^36-63*t^35+2*t ^34-147*t^33+2*t^32-231*t^31-17*t^30-266*t^29-82*t^28-231*t^27-203*t^26-147*t^ 25-331*t^24-77*t^23-383*t^22-77*t^21-331*t^20-147*t^19-203*t^18-231*t^17-82*t^ 16-266*t^15-17*t^14-231*t^13+2*t^12-147*t^11+2*t^10-63*t^9+3*t^8-14*t^7+2*t^6+2 *t^4+t^2+1)*x^12+t^20*(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^44+t^42+2*t^40+2*t^38+ 3*t^36+2*t^34+2*t^32-3*t^30-19*t^28-56*t^26-100*t^24-117*t^22-100*t^20-56*t^18-\ 19*t^16-3*t^14+2*t^12+2*t^10+3*t^8+2*t^6+2*t^4+t^2+1)*x^13+t^30*(t+1)*(t^2+1)*( t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^18-t^16+t^14+5*t^11+9*t^9+5*t^7+t^4-t^2+1 )*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*(t^2+t+1)^2*x^15-t^30*(t^2+1)*(t^2-t+1)*( t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*(t^32-t^30+t^28+5*t^18+9*t^16+5*t^14+t^4-t^2 +1)*(t^2+t+1)^2*x^16-t^42*(t-1)^2*(t^6+t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12 -t^11+t^9-t^8+t^6-t^4+t^3-t+1)^2*x^18+t^42*(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t-1 )^2*(t^6+t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1) ^2*x^19) J[7, 4](t, x), equals 3 2 6 3 6 3 2 4 9 (-1 + t (t - t + 1) (t + t + 1) (t - t + 1) %3 (t + 1) x - t 6 3 32 26 25 23 22 20 19 18 (t + t + 1) (t + t - 10 t + t - 33 t + t - 48 t + t 16 14 13 12 10 9 7 6 8 18 - 50 t + t - 48 t + t - 33 t + t - 10 t + t + 1) x + t %3 2 38 32 31 29 28 26 25 24 (t - t + 1) (t + 2 t + 20 t + t + 70 t + 2 t + 146 t + t 23 22 20 19 18 16 15 14 13 + t + 216 t + 2 t + 244 t + 2 t + 216 t + t + t + 146 t 12 10 9 7 6 2 12 30 50 49 + 2 t + 70 t + t + 20 t + 2 t + 1) (t + 1) x - t (t + t 44 43 42 40 39 38 37 36 + 2 t - 12 t - 14 t - 49 t - 49 t + 3 t - 95 t - 116 t 35 34 33 32 31 30 29 - 19 t - 134 t - 198 t - 62 t - 130 t - 271 t - 154 t 28 27 26 25 24 23 22 - 114 t - 291 t - 239 t - 95 t - 239 t - 291 t - 114 t 21 20 19 18 17 16 15 - 154 t - 271 t - 130 t - 62 t - 198 t - 134 t - 19 t 14 13 12 11 10 8 7 6 - 116 t - 95 t + 3 t - 49 t - 49 t - 14 t - 12 t + 2 t + t 2 16 45 2 2 6 3 + 1) (t - t + 1) x + t (t + t + 1) (t - t + 1) (t + t + 1) %3 %1 20 17 14 13 10 7 6 3 2 20 (t - t + t + 5 t + 9 t + 5 t + t - t + 1) (t + 1) x 63 2 2 2 2 24 / - t (t - 1) %2 (t + t + 1) %1 x ) / (-1 + (t + 1) %3 x / 3 2 6 3 6 3 2 4 3 + t (t - t + 1) (t + t + 1) (t - t + 1) %3 (t + 1) x - t (t + 1) 2 6 3 (t - t + 1) (t + t + 1) 20 17 14 13 10 7 6 3 5 9 (t - t + t - 5 t - 9 t - 5 t + t - t + 1) x - t 6 3 32 26 25 23 22 20 19 18 (t + t + 1) (t + t - 10 t + t - 33 t + t - 48 t + t 16 14 13 12 10 9 7 6 8 9 - 50 t + t - 48 t + t - 33 t + t - 10 t + t + 1) x + t 6 3 32 26 25 23 22 20 19 (t + 1) (t + t + 1) %3 (t + t + 4 t + t + 16 t + t + 36 t 18 16 14 13 12 10 9 7 6 9 + t + 48 t + t + 36 t + t + 16 t + t + 4 t + t + 1) x + 18 2 38 32 31 29 28 26 25 t %3 (t - t + 1) (t + 2 t + 20 t + t + 70 t + 2 t + 146 t 24 23 22 20 19 18 16 15 14 + t + t + 216 t + 2 t + 244 t + 2 t + 216 t + t + t 13 12 10 9 7 6 2 12 18 + 146 t + 2 t + 70 t + t + 20 t + 2 t + 1) (t + 1) x - t 2 52 46 45 43 40 39 37 (t + 1) (t - t + 1) (t + 2 t + t + t + 2 t - 4 t + t 36 34 33 32 31 30 28 27 26 - 13 t + 2 t - 18 t + 2 t + t - 13 t + t - 4 t + 2 t 25 24 22 21 20 19 18 16 15 - 4 t + t - 13 t + t + 2 t - 18 t + 2 t - 13 t + t 13 12 9 7 6 13 30 50 49 44 - 4 t + 2 t + t + t + 2 t + 1) x - t (t + t + 2 t 43 42 40 39 38 37 36 35 - 12 t - 14 t - 49 t - 49 t + 3 t - 95 t - 116 t - 19 t 34 33 32 31 30 29 28 - 134 t - 198 t - 62 t - 130 t - 271 t - 154 t - 114 t 27 26 25 24 23 22 21 - 291 t - 239 t - 95 t - 239 t - 291 t - 114 t - 154 t 20 19 18 17 16 15 14 - 271 t - 130 t - 62 t - 198 t - 134 t - 19 t - 116 t 13 12 11 10 8 7 6 - 95 t + 3 t - 49 t - 49 t - 14 t - 12 t + 2 t + t + 1) 2 16 30 2 50 49 44 43 (t - t + 1) x + t (t + 1) (t - t + 1) %3 (t + t + 2 t + 2 t 38 37 36 35 34 33 32 31 30 + 3 t + 3 t - 4 t - 5 t - t - 16 t - 13 t + 3 t - 40 t 29 28 27 26 25 24 23 22 - 42 t - 2 t - 60 t - 57 t + 3 t - 57 t - 60 t - 2 t 21 20 19 18 17 16 15 14 13 - 42 t - 40 t + 3 t - 13 t - 16 t - t - 5 t - 4 t + 3 t 12 7 6 17 45 2 2 + 3 t + 2 t + 2 t + t + 1) x + t (t + t + 1) (t - t + 1) 6 3 20 17 14 13 10 7 6 3 (t + t + 1) %3 %1 (t - t + t + 5 t + 9 t + 5 t + t - t + 1) 2 20 45 2 2 6 3 (t + 1) x - t (t + 1) (t + t + 1) (t - t + 1) (t + t + 1) %1 34 31 28 20 17 14 6 3 21 (t - t + t + 5 t + 9 t + 5 t + t - t + 1) x 63 2 2 2 2 24 - t (t - 1) %2 (t + t + 1) %1 x 63 2 2 2 2 25 + t (t + 1) %3 (t - 1) %2 (t + t + 1) %1 x ) 12 11 9 8 6 4 3 %1 := t - t + t - t + t - t + t - t + 1 6 5 4 3 2 2 %2 := (t + t + t + t + t + t + 1) 6 5 4 3 2 %3 := t - t + t - t + t - t + 1 and in Maple format (-1+t^3*(t^2-t+1)*(t^6+t^3+1)*(t^6-t^3+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t+1)^2*x^4 -t^9*(t^6+t^3+1)*(t^32+t^26-10*t^25+t^23-33*t^22+t^20-48*t^19+t^18-50*t^16+t^14 -48*t^13+t^12-33*t^10+t^9-10*t^7+t^6+1)*x^8+t^18*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^2 -t+1)*(t^38+2*t^32+20*t^31+t^29+70*t^28+2*t^26+146*t^25+t^24+t^23+216*t^22+2*t^ 20+244*t^19+2*t^18+216*t^16+t^15+t^14+146*t^13+2*t^12+70*t^10+t^9+20*t^7+2*t^6+ 1)*(t+1)^2*x^12-t^30*(t^50+t^49+2*t^44-12*t^43-14*t^42-49*t^40-49*t^39+3*t^38-\ 95*t^37-116*t^36-19*t^35-134*t^34-198*t^33-62*t^32-130*t^31-271*t^30-154*t^29-\ 114*t^28-291*t^27-239*t^26-95*t^25-239*t^24-291*t^23-114*t^22-154*t^21-271*t^20 -130*t^19-62*t^18-198*t^17-134*t^16-19*t^15-116*t^14-95*t^13+3*t^12-49*t^11-49* t^10-14*t^8-12*t^7+2*t^6+t+1)*(t^2-t+1)*x^16+t^45*(t^2+t+1)*(t^2-t+1)*(t^6+t^3+ 1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*(t^20-t^17+t^ 14+5*t^13+9*t^10+5*t^7+t^6-t^3+1)*(t+1)^2*x^20-t^63*(t-1)^2*(t^6+t^5+t^4+t^3+t^ 2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)^2*x^24)/(-1+(t+1)*(t^6 -t^5+t^4-t^3+t^2-t+1)*x+t^3*(t^2-t+1)*(t^6+t^3+1)*(t^6-t^3+1)*(t^6-t^5+t^4-t^3+ t^2-t+1)*(t+1)^2*x^4-t^3*(t+1)*(t^2-t+1)*(t^6+t^3+1)*(t^20-t^17+t^14-5*t^13-9*t ^10-5*t^7+t^6-t^3+1)*x^5-t^9*(t^6+t^3+1)*(t^32+t^26-10*t^25+t^23-33*t^22+t^20-\ 48*t^19+t^18-50*t^16+t^14-48*t^13+t^12-33*t^10+t^9-10*t^7+t^6+1)*x^8+t^9*(t+1)* (t^6+t^3+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^32+t^26+4*t^25+t^23+16*t^22+t^20+36*t^ 19+t^18+48*t^16+t^14+36*t^13+t^12+16*t^10+t^9+4*t^7+t^6+1)*x^9+t^18*(t^6-t^5+t^ 4-t^3+t^2-t+1)*(t^2-t+1)*(t^38+2*t^32+20*t^31+t^29+70*t^28+2*t^26+146*t^25+t^24 +t^23+216*t^22+2*t^20+244*t^19+2*t^18+216*t^16+t^15+t^14+146*t^13+2*t^12+70*t^ 10+t^9+20*t^7+2*t^6+1)*(t+1)^2*x^12-t^18*(t+1)*(t^2-t+1)*(t^52+2*t^46+t^45+t^43 +2*t^40-4*t^39+t^37-13*t^36+2*t^34-18*t^33+2*t^32+t^31-13*t^30+t^28-4*t^27+2*t^ 26-4*t^25+t^24-13*t^22+t^21+2*t^20-18*t^19+2*t^18-13*t^16+t^15-4*t^13+2*t^12+t^ 9+t^7+2*t^6+1)*x^13-t^30*(t^50+t^49+2*t^44-12*t^43-14*t^42-49*t^40-49*t^39+3*t^ 38-95*t^37-116*t^36-19*t^35-134*t^34-198*t^33-62*t^32-130*t^31-271*t^30-154*t^ 29-114*t^28-291*t^27-239*t^26-95*t^25-239*t^24-291*t^23-114*t^22-154*t^21-271*t ^20-130*t^19-62*t^18-198*t^17-134*t^16-19*t^15-116*t^14-95*t^13+3*t^12-49*t^11-\ 49*t^10-14*t^8-12*t^7+2*t^6+t+1)*(t^2-t+1)*x^16+t^30*(t+1)*(t^2-t+1)*(t^6-t^5+t ^4-t^3+t^2-t+1)*(t^50+t^49+2*t^44+2*t^43+3*t^38+3*t^37-4*t^36-5*t^35-t^34-16*t^ 33-13*t^32+3*t^31-40*t^30-42*t^29-2*t^28-60*t^27-57*t^26+3*t^25-57*t^24-60*t^23 -2*t^22-42*t^21-40*t^20+3*t^19-13*t^18-16*t^17-t^16-5*t^15-4*t^14+3*t^13+3*t^12 +2*t^7+2*t^6+t+1)*x^17+t^45*(t^2+t+1)*(t^2-t+1)*(t^6+t^3+1)*(t^6-t^5+t^4-t^3+t^ 2-t+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*(t^20-t^17+t^14+5*t^13+9*t^10+5*t^7+ t^6-t^3+1)*(t+1)^2*x^20-t^45*(t+1)*(t^2+t+1)*(t^2-t+1)*(t^6+t^3+1)*(t^12-t^11+t ^9-t^8+t^6-t^4+t^3-t+1)*(t^34-t^31+t^28+5*t^20+9*t^17+5*t^14+t^6-t^3+1)*x^21-t^ 63*(t-1)^2*(t^6+t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t ^3-t+1)^2*x^24+t^63*(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t-1)^2*(t^6+t^5+t^4+t^3+t^ 2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)^2*x^25) J[7, 5](t, x), equals 4 2 2 4 4 2 (-1 + t (t + 1) (t + t + 1) (t - t + 1) %3 (t + 1) (t - t + 1) 8 4 5 12 2 2 4 2 38 (t - t + 1) x - t (t + t + 1) (t - t + 1) (t - t + 1) (t 31 30 27 26 24 23 22 19 16 15 - 10 t + t - 33 t + t + t - 48 t + t - 50 t + t - 48 t 14 12 11 8 7 10 24 2 + t + t - 33 t + t - 10 t + 1) x + t (t + 1) (t - t + 1) %3 4 44 43 41 40 38 37 36 35 34 (t + 1) (t + t - t - t + t + 21 t + 22 t + t - 21 t 33 32 31 30 29 28 27 26 + 48 t + 70 t + 22 t - 47 t + 77 t + 126 t + 49 t - 77 t 25 24 23 22 21 20 19 18 + 90 t + 168 t + 78 t - 88 t + 78 t + 168 t + 90 t - 77 t 17 16 15 14 13 12 11 10 + 49 t + 126 t + 77 t - 47 t + 22 t + 70 t + 48 t - 21 t 9 8 7 6 4 3 15 40 60 56 53 + t + 22 t + 21 t + t - t - t + t + 1) x - t (t + t - 14 t 52 49 48 46 45 44 42 41 + 2 t - 63 t + 2 t - 18 t - 147 t + 3 t - 83 t - 231 t 40 39 38 37 36 35 34 33 + 2 t - 14 t - 203 t - 266 t + 2 t - 63 t - 331 t - 231 t 32 31 30 29 28 27 26 25 + 2 t - 147 t - 383 t - 147 t + 2 t - 231 t - 331 t - 63 t 24 23 22 21 20 19 18 16 + 2 t - 266 t - 203 t - 14 t + 2 t - 231 t - 83 t + 3 t 15 14 12 11 8 7 4 20 60 - 147 t - 18 t + 2 t - 63 t + 2 t - 14 t + t + 1) x + t 2 4 4 2 (t + 1) (t - t + 1) %3 (t + 1) (t - t + 1) %1 22 18 15 14 11 8 7 4 2 2 25 (t - t + 5 t + t + 9 t + t + 5 t - t + 1) (t + t + 1) x 84 2 2 2 2 30 / 4 - t (t - 1) %2 (t + t + 1) %1 x ) / (-1 + (t + 1) %3 x + t / 2 2 4 4 2 8 4 (t + 1) (t + t + 1) (t - t + 1) %3 (t + 1) (t - t + 1) (t - t + 1) 5 4 2 2 4 4 2 x - t (t + t + 1) (t - t + 1) (t + 1) (t - t + 1) 22 18 15 14 11 8 7 4 6 12 (t - t - 5 t + t - 9 t + t - 5 t - t + 1) x - t 2 2 4 2 38 31 30 27 26 (t + t + 1) (t - t + 1) (t - t + 1) (t - 10 t + t - 33 t + t 24 23 22 19 16 15 14 12 11 8 + t - 48 t + t - 50 t + t - 48 t + t + t - 33 t + t 7 10 12 2 2 4 2 - 10 t + 1) x + t (t + 1) (t + t + 1) (t - t + 1) (t - t + 1) %3 38 31 30 27 26 24 23 22 19 16 (t + 4 t + t + 16 t + t + t + 36 t + t + 48 t + t 15 14 12 11 8 7 11 24 + 36 t + t + t + 16 t + t + 4 t + 1) x + t (t + 1) 2 4 44 43 41 40 38 37 36 (t - t + 1) %3 (t + 1) (t + t - t - t + t + 21 t + 22 t 35 34 33 32 31 30 29 28 + t - 21 t + 48 t + 70 t + 22 t - 47 t + 77 t + 126 t 27 26 25 24 23 22 21 20 + 49 t - 77 t + 90 t + 168 t + 78 t - 88 t + 78 t + 168 t 19 18 17 16 15 14 13 12 + 90 t - 77 t + 49 t + 126 t + 77 t - 47 t + 22 t + 70 t 11 10 9 8 7 6 4 3 15 24 + 48 t - 21 t + t + 22 t + 21 t + t - t - t + t + 1) x - t 2 46 45 44 42 41 39 38 37 36 (t - t + 1) (t + t + t - t - t + 2 t + 4 t + 3 t + t 35 34 32 31 30 29 27 26 25 - 2 t - 2 t + 2 t - 2 t - 3 t - 5 t - 8 t - 7 t - 12 t 24 23 22 21 20 19 17 16 15 - 4 t - 10 t - 4 t - 12 t - 7 t - 8 t - 5 t - 3 t - 2 t 14 12 11 10 9 8 7 5 4 2 + 2 t - 2 t - 2 t + t + 3 t + 4 t + 2 t - t - t + t + t + 1) 4 12 10 8 6 4 2 16 40 60 56 53 (t + 1) (t - t + t - t + t - t + 1) x - t (t + t - 14 t 52 49 48 46 45 44 42 41 + 2 t - 63 t + 2 t - 18 t - 147 t + 3 t - 83 t - 231 t 40 39 38 37 36 35 34 33 + 2 t - 14 t - 203 t - 266 t + 2 t - 63 t - 331 t - 231 t 32 31 30 29 28 27 26 25 + 2 t - 147 t - 383 t - 147 t + 2 t - 231 t - 331 t - 63 t 24 23 22 21 20 19 18 16 + 2 t - 266 t - 203 t - 14 t + 2 t - 231 t - 83 t + 3 t 15 14 12 11 8 7 4 20 40 - 147 t - 18 t + 2 t - 63 t + 2 t - 14 t + t + 1) x + t 60 56 52 48 46 44 42 40 (t + 1) %3 (t + t + 2 t + 2 t - 4 t + 3 t - 20 t + 2 t 38 36 34 32 30 28 26 24 - 56 t + 2 t - 100 t + 2 t - 117 t + 2 t - 100 t + 2 t 22 20 18 16 14 12 8 4 21 - 56 t + 2 t - 20 t + 3 t - 4 t + 2 t + 2 t + t + 1) x + 60 2 4 4 2 t (t + 1) (t - t + 1) %3 (t + 1) (t - t + 1) %1 22 18 15 14 11 8 7 4 2 2 25 (t - t + 5 t + t + 9 t + t + 5 t - t + 1) (t + t + 1) x - 60 2 4 4 2 t (t - t + 1) (t + 1) (t - t + 1) %1 36 32 28 22 18 14 8 4 2 2 26 (t - t + t + 5 t + 9 t + 5 t + t - t + 1) (t + t + 1) x 84 2 2 2 2 30 - t (t - 1) %2 (t + t + 1) %1 x 84 2 2 2 2 31 + t (t + 1) %3 (t - 1) %2 (t + t + 1) %1 x ) 12 11 9 8 6 4 3 %1 := t - t + t - t + t - t + t - t + 1 6 5 4 3 2 2 %2 := (t + t + t + t + t + t + 1) 6 5 4 3 2 %3 := t - t + t - t + t - t + 1 and in Maple format (-1+t^4*(t+1)*(t^2+t+1)*(t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^4+1)*(t^4-t^2+1) *(t^8-t^4+1)*x^5-t^12*(t^2+t+1)*(t^2-t+1)*(t^4-t^2+1)*(t^38-10*t^31+t^30-33*t^ 27+t^26+t^24-48*t^23+t^22-50*t^19+t^16-48*t^15+t^14+t^12-33*t^11+t^8-10*t^7+1)* x^10+t^24*(t+1)*(t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^4+1)*(t^44+t^43-t^41-t^ 40+t^38+21*t^37+22*t^36+t^35-21*t^34+48*t^33+70*t^32+22*t^31-47*t^30+77*t^29+ 126*t^28+49*t^27-77*t^26+90*t^25+168*t^24+78*t^23-88*t^22+78*t^21+168*t^20+90*t ^19-77*t^18+49*t^17+126*t^16+77*t^15-47*t^14+22*t^13+70*t^12+48*t^11-21*t^10+t^ 9+22*t^8+21*t^7+t^6-t^4-t^3+t+1)*x^15-t^40*(t^60+t^56-14*t^53+2*t^52-63*t^49+2* t^48-18*t^46-147*t^45+3*t^44-83*t^42-231*t^41+2*t^40-14*t^39-203*t^38-266*t^37+ 2*t^36-63*t^35-331*t^34-231*t^33+2*t^32-147*t^31-383*t^30-147*t^29+2*t^28-231*t ^27-331*t^26-63*t^25+2*t^24-266*t^23-203*t^22-14*t^21+2*t^20-231*t^19-83*t^18+3 *t^16-147*t^15-18*t^14+2*t^12-63*t^11+2*t^8-14*t^7+t^4+1)*x^20+t^60*(t+1)*(t^2- t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^4+1)*(t^4-t^2+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t ^3-t+1)*(t^22-t^18+5*t^15+t^14+9*t^11+t^8+5*t^7-t^4+1)*(t^2+t+1)^2*x^25-t^84*(t -1)^2*(t^6+t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+ 1)^2*x^30)/(-1+(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*x+t^4*(t+1)*(t^2+t+1)*(t^2-t+1)* (t^6-t^5+t^4-t^3+t^2-t+1)*(t^4+1)*(t^4-t^2+1)*(t^8-t^4+1)*x^5-t^4*(t^2+t+1)*(t^ 2-t+1)*(t^4+1)*(t^4-t^2+1)*(t^22-t^18-5*t^15+t^14-9*t^11+t^8-5*t^7-t^4+1)*x^6-t ^12*(t^2+t+1)*(t^2-t+1)*(t^4-t^2+1)*(t^38-10*t^31+t^30-33*t^27+t^26+t^24-48*t^ 23+t^22-50*t^19+t^16-48*t^15+t^14+t^12-33*t^11+t^8-10*t^7+1)*x^10+t^12*(t+1)*(t ^2+t+1)*(t^2-t+1)*(t^4-t^2+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^38+4*t^31+t^30+16*t^ 27+t^26+t^24+36*t^23+t^22+48*t^19+t^16+36*t^15+t^14+t^12+16*t^11+t^8+4*t^7+1)*x ^11+t^24*(t+1)*(t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^4+1)*(t^44+t^43-t^41-t^40 +t^38+21*t^37+22*t^36+t^35-21*t^34+48*t^33+70*t^32+22*t^31-47*t^30+77*t^29+126* t^28+49*t^27-77*t^26+90*t^25+168*t^24+78*t^23-88*t^22+78*t^21+168*t^20+90*t^19-\ 77*t^18+49*t^17+126*t^16+77*t^15-47*t^14+22*t^13+70*t^12+48*t^11-21*t^10+t^9+22 *t^8+21*t^7+t^6-t^4-t^3+t+1)*x^15-t^24*(t^2-t+1)*(t^46+t^45+t^44-t^42-t^41+2*t^ 39+4*t^38+3*t^37+t^36-2*t^35-2*t^34+2*t^32-2*t^31-3*t^30-5*t^29-8*t^27-7*t^26-\ 12*t^25-4*t^24-10*t^23-4*t^22-12*t^21-7*t^20-8*t^19-5*t^17-3*t^16-2*t^15+2*t^14 -2*t^12-2*t^11+t^10+3*t^9+4*t^8+2*t^7-t^5-t^4+t^2+t+1)*(t^4+1)*(t^12-t^10+t^8-t ^6+t^4-t^2+1)*x^16-t^40*(t^60+t^56-14*t^53+2*t^52-63*t^49+2*t^48-18*t^46-147*t^ 45+3*t^44-83*t^42-231*t^41+2*t^40-14*t^39-203*t^38-266*t^37+2*t^36-63*t^35-331* t^34-231*t^33+2*t^32-147*t^31-383*t^30-147*t^29+2*t^28-231*t^27-331*t^26-63*t^ 25+2*t^24-266*t^23-203*t^22-14*t^21+2*t^20-231*t^19-83*t^18+3*t^16-147*t^15-18* t^14+2*t^12-63*t^11+2*t^8-14*t^7+t^4+1)*x^20+t^40*(t+1)*(t^6-t^5+t^4-t^3+t^2-t+ 1)*(t^60+t^56+2*t^52+2*t^48-4*t^46+3*t^44-20*t^42+2*t^40-56*t^38+2*t^36-100*t^ 34+2*t^32-117*t^30+2*t^28-100*t^26+2*t^24-56*t^22+2*t^20-20*t^18+3*t^16-4*t^14+ 2*t^12+2*t^8+t^4+1)*x^21+t^60*(t+1)*(t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^4+1) *(t^4-t^2+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*(t^22-t^18+5*t^15+t^14+9*t^11+ t^8+5*t^7-t^4+1)*(t^2+t+1)^2*x^25-t^60*(t^2-t+1)*(t^4+1)*(t^4-t^2+1)*(t^12-t^11 +t^9-t^8+t^6-t^4+t^3-t+1)*(t^36-t^32+t^28+5*t^22+9*t^18+5*t^14+t^8-t^4+1)*(t^2+ t+1)^2*x^26-t^84*(t-1)^2*(t^6+t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9 -t^8+t^6-t^4+t^3-t+1)^2*x^30+t^84*(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t-1)^2*(t^6+ t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)^2*x^31) J[7, 6](t, x), equals 5 2 2 8 7 5 4 3 (-1 + t (t + t + 1) (t - t + 1) %5 %3 %4 (t + t - t - t - t + t + 1) 2 6 15 2 44 37 34 32 30 29 (t + 1) x - t (t + t + 1) %4 (t - 10 t + t - 33 t + t + t 27 24 22 20 17 15 14 12 10 7 - 48 t + t - 50 t + t - 48 t + t + t - 33 t + t - 10 t 12 30 54 47 44 42 40 39 37 + 1) x + t %5 (t + 20 t + 2 t + 70 t + t + t + 146 t 34 32 30 29 27 25 24 22 20 + 2 t + 216 t + 2 t + t + 244 t + t + 2 t + 216 t + 2 t 17 15 14 12 10 7 2 18 50 + 146 t + t + t + 70 t + 2 t + 20 t + 1) %3 (t + 1) x - t 68 63 61 58 56 54 53 51 49 (t + t - 14 t + 2 t - 63 t - 18 t + 2 t - 147 t - 83 t 48 47 46 44 43 42 41 40 + 3 t - 14 t - 231 t - 203 t + 2 t - 63 t - 266 t + t 39 38 37 36 35 34 33 32 - 331 t + 2 t - 147 t - 231 t + t - 383 t + t - 231 t 31 30 29 28 27 26 25 24 - 147 t + 2 t - 331 t + t - 266 t - 63 t + 2 t - 203 t 22 21 20 19 17 15 14 12 - 231 t - 14 t + 3 t - 83 t - 147 t + 2 t - 18 t - 63 t 10 7 5 24 75 + 2 t - 14 t + t + 1) x + t %5 24 19 17 14 12 10 7 5 2 (t - t + 5 t + t + 9 t + t + 5 t - t + 1) %3 %4 %1 (t + 1) 2 2 30 105 2 2 2 2 36 / (t + t + 1) x - t (t - 1) %2 (t + t + 1) %1 x ) / (-1 / 5 2 2 + (t + 1) %3 x + t (t + t + 1) (t - t + 1) %5 %3 %4 8 7 5 4 3 2 6 5 2 (t + t - t - t - t + t + 1) (t + 1) x - t (t + 1) (t + t + 1) 24 19 17 14 12 10 7 5 7 15 (t - t - 5 t + t - 9 t + t - 5 t - t + 1) %5 %4 x - t 2 44 37 34 32 30 29 27 24 (t + t + 1) %4 (t - 10 t + t - 33 t + t + t - 48 t + t 22 20 17 15 14 12 10 7 12 15 - 50 t + t - 48 t + t + t - 33 t + t - 10 t + 1) x + t 2 44 37 34 32 30 29 27 (t + 1) (t + t + 1) %4 %3 (t + 4 t + t + 16 t + t + t + 36 t 24 22 20 17 15 14 12 10 7 13 + t + 48 t + t + 36 t + t + t + 16 t + t + 4 t + 1) x 30 54 47 44 42 40 39 37 34 + t %5 (t + 20 t + 2 t + 70 t + t + t + 146 t + 2 t 32 30 29 27 25 24 22 20 + 216 t + 2 t + t + 244 t + t + 2 t + 216 t + 2 t 17 15 14 12 10 7 2 18 30 + 146 t + t + t + 70 t + 2 t + 20 t + 1) %3 (t + 1) x - t 68 61 58 53 51 48 47 46 44 (t + 1) %5 (t + t + 2 t + t - 4 t + 2 t + t - 13 t + 2 t 43 41 40 38 37 36 34 32 31 + t - 18 t + t + 2 t - 4 t - 13 t + 2 t - 13 t - 4 t 30 28 27 25 24 22 21 20 17 15 + 2 t + t - 18 t + t + 2 t - 13 t + t + 2 t - 4 t + t 10 7 19 50 68 63 61 58 56 54 + 2 t + t + 1) x - t (t + t - 14 t + 2 t - 63 t - 18 t 53 51 49 48 47 46 44 43 + 2 t - 147 t - 83 t + 3 t - 14 t - 231 t - 203 t + 2 t 42 41 40 39 38 37 36 35 - 63 t - 266 t + t - 331 t + 2 t - 147 t - 231 t + t 34 33 32 31 30 29 28 27 - 383 t + t - 231 t - 147 t + 2 t - 331 t + t - 266 t 26 25 24 22 21 20 19 17 - 63 t + 2 t - 203 t - 231 t - 14 t + 3 t - 83 t - 147 t 15 14 12 10 7 5 24 50 + 2 t - 18 t - 63 t + 2 t - 14 t + t + 1) x + t (t + 1) %3 ( 68 63 58 54 53 49 48 44 43 40 t + t + 2 t - 4 t + 2 t - 20 t + 3 t - 56 t + 2 t + t 39 38 35 34 33 30 29 28 25 - 100 t + 2 t + t - 117 t + t + 2 t - 100 t + t + 2 t 24 20 19 15 14 10 5 25 75 - 56 t + 3 t - 20 t + 2 t - 4 t + 2 t + t + 1) x + t %5 24 19 17 14 12 10 7 5 2 (t - t + 5 t + t + 9 t + t + 5 t - t + 1) %3 %4 %1 (t + 1) 2 2 30 75 (t + t + 1) x - t (t + 1) %5 %4 %1 38 33 28 24 19 14 10 5 2 2 31 (t - t + t + 5 t + 9 t + 5 t + t - t + 1) (t + t + 1) x 105 2 2 2 2 36 - t (t - 1) %2 (t + t + 1) %1 x 105 2 2 2 2 37 + t (t + 1) %3 (t - 1) %2 (t + t + 1) %1 x ) 12 11 9 8 6 4 3 %1 := t - t + t - t + t - t + t - t + 1 6 5 4 3 2 2 %2 := (t + t + t + t + t + t + 1) 6 5 4 3 2 %3 := t - t + t - t + t - t + 1 8 7 5 4 3 %4 := t - t + t - t + t - t + 1 4 3 2 %5 := t - t + t - t + 1 and in Maple format (-1+t^5*(t^2+t+1)*(t^2-t+1)*(t^4-t^3+t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^8-t^ 7+t^5-t^4+t^3-t+1)*(t^8+t^7-t^5-t^4-t^3+t+1)*(t+1)^2*x^6-t^15*(t^2+t+1)*(t^8-t^ 7+t^5-t^4+t^3-t+1)*(t^44-10*t^37+t^34-33*t^32+t^30+t^29-48*t^27+t^24-50*t^22+t^ 20-48*t^17+t^15+t^14-33*t^12+t^10-10*t^7+1)*x^12+t^30*(t^4-t^3+t^2-t+1)*(t^54+ 20*t^47+2*t^44+70*t^42+t^40+t^39+146*t^37+2*t^34+216*t^32+2*t^30+t^29+244*t^27+ t^25+2*t^24+216*t^22+2*t^20+146*t^17+t^15+t^14+70*t^12+2*t^10+20*t^7+1)*(t^6-t^ 5+t^4-t^3+t^2-t+1)*(t+1)^2*x^18-t^50*(t^68+t^63-14*t^61+2*t^58-63*t^56-18*t^54+ 2*t^53-147*t^51-83*t^49+3*t^48-14*t^47-231*t^46-203*t^44+2*t^43-63*t^42-266*t^ 41+t^40-331*t^39+2*t^38-147*t^37-231*t^36+t^35-383*t^34+t^33-231*t^32-147*t^31+ 2*t^30-331*t^29+t^28-266*t^27-63*t^26+2*t^25-203*t^24-231*t^22-14*t^21+3*t^20-\ 83*t^19-147*t^17+2*t^15-18*t^14-63*t^12+2*t^10-14*t^7+t^5+1)*x^24+t^75*(t^4-t^3 +t^2-t+1)*(t^24-t^19+5*t^17+t^14+9*t^12+t^10+5*t^7-t^5+1)*(t^6-t^5+t^4-t^3+t^2- t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*(t+1)^2*(t^2 +t+1)^2*x^30-t^105*(t-1)^2*(t^6+t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t ^9-t^8+t^6-t^4+t^3-t+1)^2*x^36)/(-1+(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*x+t^5*(t^2+ t+1)*(t^2-t+1)*(t^4-t^3+t^2-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^8-t^7+t^5-t^4+t^3 -t+1)*(t^8+t^7-t^5-t^4-t^3+t+1)*(t+1)^2*x^6-t^5*(t+1)*(t^2+t+1)*(t^24-t^19-5*t^ 17+t^14-9*t^12+t^10-5*t^7-t^5+1)*(t^4-t^3+t^2-t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*x^ 7-t^15*(t^2+t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t^44-10*t^37+t^34-33*t^32+t^30+t^29 -48*t^27+t^24-50*t^22+t^20-48*t^17+t^15+t^14-33*t^12+t^10-10*t^7+1)*x^12+t^15*( t+1)*(t^2+t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^44+4*t^37 +t^34+16*t^32+t^30+t^29+36*t^27+t^24+48*t^22+t^20+36*t^17+t^15+t^14+16*t^12+t^ 10+4*t^7+1)*x^13+t^30*(t^4-t^3+t^2-t+1)*(t^54+20*t^47+2*t^44+70*t^42+t^40+t^39+ 146*t^37+2*t^34+216*t^32+2*t^30+t^29+244*t^27+t^25+2*t^24+216*t^22+2*t^20+146*t ^17+t^15+t^14+70*t^12+2*t^10+20*t^7+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t+1)^2*x^18-t ^30*(t+1)*(t^4-t^3+t^2-t+1)*(t^68+t^61+2*t^58+t^53-4*t^51+2*t^48+t^47-13*t^46+2 *t^44+t^43-18*t^41+t^40+2*t^38-4*t^37-13*t^36+2*t^34-13*t^32-4*t^31+2*t^30+t^28 -18*t^27+t^25+2*t^24-13*t^22+t^21+2*t^20-4*t^17+t^15+2*t^10+t^7+1)*x^19-t^50*(t ^68+t^63-14*t^61+2*t^58-63*t^56-18*t^54+2*t^53-147*t^51-83*t^49+3*t^48-14*t^47-\ 231*t^46-203*t^44+2*t^43-63*t^42-266*t^41+t^40-331*t^39+2*t^38-147*t^37-231*t^ 36+t^35-383*t^34+t^33-231*t^32-147*t^31+2*t^30-331*t^29+t^28-266*t^27-63*t^26+2 *t^25-203*t^24-231*t^22-14*t^21+3*t^20-83*t^19-147*t^17+2*t^15-18*t^14-63*t^12+ 2*t^10-14*t^7+t^5+1)*x^24+t^50*(t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^68+t^63+2*t^ 58-4*t^54+2*t^53-20*t^49+3*t^48-56*t^44+2*t^43+t^40-100*t^39+2*t^38+t^35-117*t^ 34+t^33+2*t^30-100*t^29+t^28+2*t^25-56*t^24+3*t^20-20*t^19+2*t^15-4*t^14+2*t^10 +t^5+1)*x^25+t^75*(t^4-t^3+t^2-t+1)*(t^24-t^19+5*t^17+t^14+9*t^12+t^10+5*t^7-t^ 5+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t^12-t^11+t^9-t^8+t^6 -t^4+t^3-t+1)*(t+1)^2*(t^2+t+1)^2*x^30-t^75*(t+1)*(t^4-t^3+t^2-t+1)*(t^8-t^7+t^ 5-t^4+t^3-t+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*(t^38-t^33+t^28+5*t^24+9*t^ 19+5*t^14+t^10-t^5+1)*(t^2+t+1)^2*x^31-t^105*(t-1)^2*(t^6+t^5+t^4+t^3+t^2+t+1)^ 2*(t^2+t+1)^2*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)^2*x^36+t^105*(t+1)*(t^6-t^5+t ^4-t^3+t^2-t+1)*(t-1)^2*(t^6+t^5+t^4+t^3+t^2+t+1)^2*(t^2+t+1)^2*(t^12-t^11+t^9- t^8+t^6-t^4+t^3-t+1)^2*x^37) J[8, 2](t, x), equals 6 5 4 3 2 8 2 3 26 25 24 (1 - t (t + t + t + t + t + t + 1) (t + 1) x + t (t + t + 2 t 23 22 21 20 19 18 17 16 + 2 t + 3 t + 3 t + 3 t + 2 t - 10 t - 60 t - 153 t 15 14 13 12 11 10 9 - 261 t - 340 t - 368 t - 340 t - 261 t - 153 t - 60 t 8 7 6 5 4 3 2 4 6 - 10 t + 2 t + 3 t + 3 t + 3 t + 2 t + 2 t + t + 1) x - t 8 28 27 26 25 24 23 22 21 (t + 1) (t + t + 2 t + 3 t + 4 t + 4 t + 5 t + 4 t 20 19 18 17 16 15 14 + 37 t + 181 t + 514 t + 1036 t + 1632 t + 2107 t + 2288 t 13 12 11 10 9 8 7 6 + 2107 t + 1632 t + 1036 t + 514 t + 181 t + 37 t + 4 t + 5 t 5 4 3 2 6 10 44 43 42 41 + 4 t + 4 t + 3 t + 2 t + t + 1) x + t (t + t + 2 t + 3 t 40 39 38 37 36 35 34 33 + 4 t + 4 t + 5 t + 4 t - 31 t - 187 t - 559 t - 1170 t 32 31 30 29 28 27 - 1893 t - 2489 t - 2720 t - 2489 t - 1896 t - 1203 t 26 25 24 23 22 21 20 - 714 t - 620 t - 864 t - 1200 t - 1353 t - 1200 t - 864 t 19 18 17 16 15 14 13 - 620 t - 714 t - 1203 t - 1896 t - 2489 t - 2720 t - 2489 t 12 11 10 9 8 7 6 5 - 1893 t - 1170 t - 559 t - 187 t - 31 t + 4 t + 5 t + 4 t 4 3 2 8 15 8 42 41 40 39 + 4 t + 3 t + 2 t + t + 1) x - t (t + 1) (t + t + 2 t + 2 t 38 37 36 35 34 33 32 31 + 3 t + 3 t + 3 t + 2 t + 22 t + 105 t + 286 t + 537 t 30 29 28 27 26 25 24 + 761 t + 850 t + 761 t + 537 t + 273 t + 43 t - 126 t 23 22 21 20 19 18 17 - 233 t - 284 t - 299 t - 284 t - 233 t - 126 t + 43 t 16 15 14 13 12 11 10 + 273 t + 537 t + 761 t + 850 t + 761 t + 537 t + 286 t 9 8 7 6 5 4 3 2 10 + 105 t + 22 t + 2 t + 3 t + 3 t + 3 t + 2 t + 2 t + t + 1) x + 21 22 21 20 19 18 17 16 14 13 12 t (t + t + t + t + t + t + t - 8 t - 28 t - 56 t 11 10 9 8 6 5 4 3 2 - 71 t - 56 t - 28 t - 8 t + t + t + t + t + t + t + 1) 16 8 8 2 12 28 16 8 2 8 3 14 / (t - t + 1) (t + 1) x - t (t - t + 1) (t + 1) x ) / (1 / 8 6 5 4 3 2 8 2 22 + (-t - 1) x - t (t + t + t + t + t + t + 1) (t + 1) x + t (t 21 20 19 18 17 16 14 13 12 11 + t + t + t + t + t + t - 6 t - 26 t - 54 t - 68 t 10 9 8 6 5 4 3 2 3 3 26 - 54 t - 26 t - 6 t + t + t + t + t + t + t + 1) x + t (t 25 24 23 22 21 20 19 18 17 + t + 2 t + 2 t + 3 t + 3 t + 3 t + 2 t - 10 t - 60 t 16 15 14 13 12 11 10 - 153 t - 261 t - 340 t - 368 t - 340 t - 261 t - 153 t 9 8 7 6 5 4 3 2 4 3 - 60 t - 10 t + 2 t + 3 t + 3 t + 3 t + 2 t + 2 t + t + 1) x - t 8 26 25 24 23 22 21 20 19 (t + 1) (t + t + 2 t + 2 t + 3 t + 3 t + 3 t + 2 t 18 17 16 15 14 13 12 + 10 t + 44 t + 133 t + 277 t + 422 t + 484 t + 422 t 11 10 9 8 7 6 5 4 3 + 277 t + 133 t + 44 t + 10 t + 2 t + 3 t + 3 t + 3 t + 2 t 2 5 6 8 28 27 26 25 24 + 2 t + t + 1) x - t (t + 1) (t + t + 2 t + 3 t + 4 t 23 22 21 20 19 18 17 16 + 4 t + 5 t + 4 t + 37 t + 181 t + 514 t + 1036 t + 1632 t 15 14 13 12 11 10 9 + 2107 t + 2288 t + 2107 t + 1632 t + 1036 t + 514 t + 181 t 8 7 6 5 4 3 2 6 6 44 + 37 t + 4 t + 5 t + 4 t + 4 t + 3 t + 2 t + t + 1) x + t (t 43 42 41 40 39 38 37 36 35 + t + 2 t + 3 t + 4 t + 4 t + 5 t + 4 t + 3 t - 7 t 34 33 32 31 30 29 28 - 44 t - 136 t - 282 t - 429 t - 492 t - 429 t - 283 t 27 26 25 24 23 22 21 20 - 139 t - 48 t - 14 t - 5 t - 6 t - 6 t - 6 t - 5 t 19 18 17 16 15 14 13 - 14 t - 48 t - 139 t - 283 t - 429 t - 492 t - 429 t 12 11 10 9 8 7 6 5 4 - 282 t - 136 t - 44 t - 7 t + 3 t + 4 t + 5 t + 4 t + 4 t 3 2 7 10 44 43 42 41 40 39 + 3 t + 2 t + t + 1) x + t (t + t + 2 t + 3 t + 4 t + 4 t 38 37 36 35 34 33 32 + 5 t + 4 t - 31 t - 187 t - 559 t - 1170 t - 1893 t 31 30 29 28 27 26 25 - 2489 t - 2720 t - 2489 t - 1896 t - 1203 t - 714 t - 620 t 24 23 22 21 20 19 18 - 864 t - 1200 t - 1353 t - 1200 t - 864 t - 620 t - 714 t 17 16 15 14 13 12 - 1203 t - 1896 t - 2489 t - 2720 t - 2489 t - 1893 t 11 10 9 8 7 6 5 4 3 - 1170 t - 559 t - 187 t - 31 t + 4 t + 5 t + 4 t + 4 t + 3 t 2 8 10 8 44 43 42 41 40 + 2 t + t + 1) x - t (t + 1) (t + t + 2 t + 3 t + 4 t 39 38 37 36 35 34 33 32 31 + 4 t + 5 t + 4 t + 3 t + t - t + 2 t + 21 t + 47 t 30 29 28 27 26 25 24 23 + 60 t + 47 t + 20 t - 7 t - 46 t - 142 t - 306 t - 478 t 22 21 20 19 18 17 16 15 - 553 t - 478 t - 306 t - 142 t - 46 t - 7 t + 20 t + 47 t 14 13 12 11 10 9 8 7 6 5 + 60 t + 47 t + 21 t + 2 t - t + t + 3 t + 4 t + 5 t + 4 t 4 3 2 9 15 8 42 41 40 39 + 4 t + 3 t + 2 t + t + 1) x - t (t + 1) (t + t + 2 t + 2 t 38 37 36 35 34 33 32 31 + 3 t + 3 t + 3 t + 2 t + 22 t + 105 t + 286 t + 537 t 30 29 28 27 26 25 24 + 761 t + 850 t + 761 t + 537 t + 273 t + 43 t - 126 t 23 22 21 20 19 18 17 - 233 t - 284 t - 299 t - 284 t - 233 t - 126 t + 43 t 16 15 14 13 12 11 10 + 273 t + 537 t + 761 t + 850 t + 761 t + 537 t + 286 t 9 8 7 6 5 4 3 2 10 + 105 t + 22 t + 2 t + 3 t + 3 t + 3 t + 2 t + 2 t + t + 1) x + 15 58 57 56 55 54 53 52 51 50 t (t + t + 2 t + 2 t + 3 t + 3 t + 3 t + 2 t + 2 t 49 47 46 45 44 43 42 41 40 39 + t - t - t - 2 t - t - t + 8 t + 44 t + 134 t + 279 t 38 37 36 35 34 33 32 + 425 t + 484 t + 425 t + 279 t + 134 t + 44 t + 15 t 31 30 29 28 27 26 25 24 + 26 t + 54 t + 68 t + 54 t + 26 t + 15 t + 44 t + 134 t 23 22 21 20 19 18 17 + 279 t + 425 t + 484 t + 425 t + 279 t + 134 t + 44 t 16 15 14 13 12 11 9 8 7 6 5 + 8 t - t - t - 2 t - t - t + t + 2 t + 2 t + 3 t + 3 t 4 3 2 11 21 22 21 20 19 18 17 + 3 t + 2 t + 2 t + t + 1) x + t (t + t + t + t + t + t 16 14 13 12 11 10 9 8 6 5 + t - 8 t - 28 t - 56 t - 71 t - 56 t - 28 t - 8 t + t + t 4 3 2 16 8 8 2 12 21 2 + t + t + t + t + 1) (t - t + 1) (t + 1) x - t (t + t + 1) 8 36 33 30 29 27 26 25 24 23 22 (t + 1) (t + t + t - t + t - t - t + 2 t - t - t 21 20 19 18 17 16 15 14 13 + 2 t - 7 t - 21 t - 26 t - 21 t - 7 t + 2 t - t - t 12 11 10 9 7 6 3 16 8 13 + 2 t - t - t + t - t + t + t + 1) (t - t + 1) x 28 16 8 2 8 3 14 - t (t - t + 1) (t + 1) x 28 16 8 2 16 8 2 15 + t (t + 1) (t + 1) (t - t + 1) x ) and in Maple format (1-t*(t^6+t^5+t^4+t^3+t^2+t+1)*(t^8+1)*x^2+t^3*(t^26+t^25+2*t^24+2*t^23+3*t^22+ 3*t^21+3*t^20+2*t^19-10*t^18-60*t^17-153*t^16-261*t^15-340*t^14-368*t^13-340*t^ 12-261*t^11-153*t^10-60*t^9-10*t^8+2*t^7+3*t^6+3*t^5+3*t^4+2*t^3+2*t^2+t+1)*x^4 -t^6*(t^8+1)*(t^28+t^27+2*t^26+3*t^25+4*t^24+4*t^23+5*t^22+4*t^21+37*t^20+181*t ^19+514*t^18+1036*t^17+1632*t^16+2107*t^15+2288*t^14+2107*t^13+1632*t^12+1036*t ^11+514*t^10+181*t^9+37*t^8+4*t^7+5*t^6+4*t^5+4*t^4+3*t^3+2*t^2+t+1)*x^6+t^10*( t^44+t^43+2*t^42+3*t^41+4*t^40+4*t^39+5*t^38+4*t^37-31*t^36-187*t^35-559*t^34-\ 1170*t^33-1893*t^32-2489*t^31-2720*t^30-2489*t^29-1896*t^28-1203*t^27-714*t^26-\ 620*t^25-864*t^24-1200*t^23-1353*t^22-1200*t^21-864*t^20-620*t^19-714*t^18-1203 *t^17-1896*t^16-2489*t^15-2720*t^14-2489*t^13-1893*t^12-1170*t^11-559*t^10-187* t^9-31*t^8+4*t^7+5*t^6+4*t^5+4*t^4+3*t^3+2*t^2+t+1)*x^8-t^15*(t^8+1)*(t^42+t^41 +2*t^40+2*t^39+3*t^38+3*t^37+3*t^36+2*t^35+22*t^34+105*t^33+286*t^32+537*t^31+ 761*t^30+850*t^29+761*t^28+537*t^27+273*t^26+43*t^25-126*t^24-233*t^23-284*t^22 -299*t^21-284*t^20-233*t^19-126*t^18+43*t^17+273*t^16+537*t^15+761*t^14+850*t^ 13+761*t^12+537*t^11+286*t^10+105*t^9+22*t^8+2*t^7+3*t^6+3*t^5+3*t^4+2*t^3+2*t^ 2+t+1)*x^10+t^21*(t^22+t^21+t^20+t^19+t^18+t^17+t^16-8*t^14-28*t^13-56*t^12-71* t^11-56*t^10-28*t^9-8*t^8+t^6+t^5+t^4+t^3+t^2+t+1)*(t^16-t^8+1)*(t^8+1)^2*x^12- t^28*(t^16-t^8+1)^2*(t^8+1)^3*x^14)/(1+(-t^8-1)*x-t*(t^6+t^5+t^4+t^3+t^2+t+1)*( t^8+1)*x^2+t*(t^22+t^21+t^20+t^19+t^18+t^17+t^16-6*t^14-26*t^13-54*t^12-68*t^11 -54*t^10-26*t^9-6*t^8+t^6+t^5+t^4+t^3+t^2+t+1)*x^3+t^3*(t^26+t^25+2*t^24+2*t^23 +3*t^22+3*t^21+3*t^20+2*t^19-10*t^18-60*t^17-153*t^16-261*t^15-340*t^14-368*t^ 13-340*t^12-261*t^11-153*t^10-60*t^9-10*t^8+2*t^7+3*t^6+3*t^5+3*t^4+2*t^3+2*t^2 +t+1)*x^4-t^3*(t^8+1)*(t^26+t^25+2*t^24+2*t^23+3*t^22+3*t^21+3*t^20+2*t^19+10*t ^18+44*t^17+133*t^16+277*t^15+422*t^14+484*t^13+422*t^12+277*t^11+133*t^10+44*t ^9+10*t^8+2*t^7+3*t^6+3*t^5+3*t^4+2*t^3+2*t^2+t+1)*x^5-t^6*(t^8+1)*(t^28+t^27+2 *t^26+3*t^25+4*t^24+4*t^23+5*t^22+4*t^21+37*t^20+181*t^19+514*t^18+1036*t^17+ 1632*t^16+2107*t^15+2288*t^14+2107*t^13+1632*t^12+1036*t^11+514*t^10+181*t^9+37 *t^8+4*t^7+5*t^6+4*t^5+4*t^4+3*t^3+2*t^2+t+1)*x^6+t^6*(t^44+t^43+2*t^42+3*t^41+ 4*t^40+4*t^39+5*t^38+4*t^37+3*t^36-7*t^35-44*t^34-136*t^33-282*t^32-429*t^31-\ 492*t^30-429*t^29-283*t^28-139*t^27-48*t^26-14*t^25-5*t^24-6*t^23-6*t^22-6*t^21 -5*t^20-14*t^19-48*t^18-139*t^17-283*t^16-429*t^15-492*t^14-429*t^13-282*t^12-\ 136*t^11-44*t^10-7*t^9+3*t^8+4*t^7+5*t^6+4*t^5+4*t^4+3*t^3+2*t^2+t+1)*x^7+t^10* (t^44+t^43+2*t^42+3*t^41+4*t^40+4*t^39+5*t^38+4*t^37-31*t^36-187*t^35-559*t^34-\ 1170*t^33-1893*t^32-2489*t^31-2720*t^30-2489*t^29-1896*t^28-1203*t^27-714*t^26-\ 620*t^25-864*t^24-1200*t^23-1353*t^22-1200*t^21-864*t^20-620*t^19-714*t^18-1203 *t^17-1896*t^16-2489*t^15-2720*t^14-2489*t^13-1893*t^12-1170*t^11-559*t^10-187* t^9-31*t^8+4*t^7+5*t^6+4*t^5+4*t^4+3*t^3+2*t^2+t+1)*x^8-t^10*(t^8+1)*(t^44+t^43 +2*t^42+3*t^41+4*t^40+4*t^39+5*t^38+4*t^37+3*t^36+t^35-t^34+2*t^33+21*t^32+47*t ^31+60*t^30+47*t^29+20*t^28-7*t^27-46*t^26-142*t^25-306*t^24-478*t^23-553*t^22-\ 478*t^21-306*t^20-142*t^19-46*t^18-7*t^17+20*t^16+47*t^15+60*t^14+47*t^13+21*t^ 12+2*t^11-t^10+t^9+3*t^8+4*t^7+5*t^6+4*t^5+4*t^4+3*t^3+2*t^2+t+1)*x^9-t^15*(t^8 +1)*(t^42+t^41+2*t^40+2*t^39+3*t^38+3*t^37+3*t^36+2*t^35+22*t^34+105*t^33+286*t ^32+537*t^31+761*t^30+850*t^29+761*t^28+537*t^27+273*t^26+43*t^25-126*t^24-233* t^23-284*t^22-299*t^21-284*t^20-233*t^19-126*t^18+43*t^17+273*t^16+537*t^15+761 *t^14+850*t^13+761*t^12+537*t^11+286*t^10+105*t^9+22*t^8+2*t^7+3*t^6+3*t^5+3*t^ 4+2*t^3+2*t^2+t+1)*x^10+t^15*(t^58+t^57+2*t^56+2*t^55+3*t^54+3*t^53+3*t^52+2*t^ 51+2*t^50+t^49-t^47-t^46-2*t^45-t^44-t^43+8*t^42+44*t^41+134*t^40+279*t^39+425* t^38+484*t^37+425*t^36+279*t^35+134*t^34+44*t^33+15*t^32+26*t^31+54*t^30+68*t^ 29+54*t^28+26*t^27+15*t^26+44*t^25+134*t^24+279*t^23+425*t^22+484*t^21+425*t^20 +279*t^19+134*t^18+44*t^17+8*t^16-t^15-t^14-2*t^13-t^12-t^11+t^9+2*t^8+2*t^7+3* t^6+3*t^5+3*t^4+2*t^3+2*t^2+t+1)*x^11+t^21*(t^22+t^21+t^20+t^19+t^18+t^17+t^16-\ 8*t^14-28*t^13-56*t^12-71*t^11-56*t^10-28*t^9-8*t^8+t^6+t^5+t^4+t^3+t^2+t+1)*(t ^16-t^8+1)*(t^8+1)^2*x^12-t^21*(t^2+t+1)*(t^8+1)*(t^36+t^33+t^30-t^29+t^27-t^26 -t^25+2*t^24-t^23-t^22+2*t^21-7*t^20-21*t^19-26*t^18-21*t^17-7*t^16+2*t^15-t^14 -t^13+2*t^12-t^11-t^10+t^9-t^7+t^6+t^3+1)*(t^16-t^8+1)*x^13-t^28*(t^16-t^8+1)^2 *(t^8+1)^3*x^14+t^28*(t^16+1)*(t^8+1)^2*(t^16-t^8+1)^2*x^15) J[8, 3](t, x), equals 2 6 5 4 3 2 6 5 4 3 2 (1 - t (t + t + t + t + t + t + 1) (t - t + t - t + t - t + 1) 8 3 6 36 34 32 30 28 26 24 (t + 1) x + t (t + t + 2 t + 2 t - 9 t - 58 t - 151 t 22 20 18 16 14 12 10 - 259 t - 337 t - 366 t - 337 t - 259 t - 151 t - 58 t 8 6 4 2 6 12 40 38 36 34 - 9 t + 2 t + 2 t + t + 1) x - t (t + t + 2 t + 3 t 32 30 28 26 24 22 20 + 37 t + 182 t + 517 t + 1039 t + 1636 t + 2111 t + 2292 t 18 16 14 12 10 8 6 4 + 2111 t + 1636 t + 1039 t + 517 t + 182 t + 37 t + 3 t + 2 t 2 8 9 20 56 54 52 50 48 46 + t + 1) (t + 1) x + t (t + t + 2 t + 3 t - 31 t - 186 t 44 42 40 38 36 34 - 556 t - 1167 t - 1892 t - 2518 t - 2871 t - 2918 t 32 30 28 26 24 22 - 2757 t - 2561 t - 2475 t - 2561 t - 2757 t - 2918 t 20 18 16 14 12 10 8 - 2871 t - 2518 t - 1892 t - 1167 t - 556 t - 186 t - 31 t 6 4 2 12 30 52 50 48 46 44 + 3 t + 2 t + t + 1) x - t (t + t + 2 t + 2 t + 23 t 42 40 38 36 34 32 30 + 107 t + 288 t + 539 t + 751 t + 790 t + 616 t + 304 t 28 26 24 22 20 18 16 + 21 t - 91 t + 21 t + 304 t + 616 t + 790 t + 751 t 14 12 10 8 6 4 2 8 15 + 539 t + 288 t + 107 t + 23 t + 2 t + 2 t + t + 1) (t + 1) x 42 28 26 24 22 20 18 16 14 12 + t (t + t + t + t - 7 t - 27 t - 55 t - 71 t - 55 t 10 8 6 4 2 16 8 8 2 18 - 27 t - 7 t + t + t + t + 1) (t - t + 1) (t + 1) x 56 16 8 2 8 3 21 / 8 2 - t (t - t + 1) (t + 1) x ) / (1 + (-t - 1) x - t / 6 5 4 3 2 6 5 4 3 2 8 (t + t + t + t + t + t + 1) (t - t + t - t + t - t + 1) (t + 1) 3 2 28 26 24 22 20 18 16 14 12 x + t (t + t + t + t - 5 t - 25 t - 53 t - 68 t - 53 t 10 8 6 4 2 4 6 36 34 32 30 - 25 t - 5 t + t + t + t + 1) x + t (t + t + 2 t + 2 t 28 26 24 22 20 18 16 - 9 t - 58 t - 151 t - 259 t - 337 t - 366 t - 337 t 14 12 10 8 6 4 2 6 6 - 259 t - 151 t - 58 t - 9 t + 2 t + 2 t + t + 1) x - t 8 36 34 32 30 28 26 24 22 (t + 1) (t + t + 2 t + 2 t + 11 t + 46 t + 135 t + 279 t 20 18 16 14 12 10 8 6 + 425 t + 486 t + 425 t + 279 t + 135 t + 46 t + 11 t + 2 t 4 2 7 12 40 38 36 34 32 30 + 2 t + t + 1) x - t (t + t + 2 t + 3 t + 37 t + 182 t 28 26 24 22 20 18 + 517 t + 1039 t + 1636 t + 2111 t + 2292 t + 2111 t 16 14 12 10 8 6 4 2 + 1636 t + 1039 t + 517 t + 182 t + 37 t + 3 t + 2 t + t + 1) 8 9 12 56 54 52 50 48 46 44 (t + 1) x + t (t + t + 2 t + 3 t + 3 t - 6 t - 41 t 42 40 38 36 34 32 30 - 133 t - 279 t - 428 t - 492 t - 432 t - 287 t - 153 t 28 26 24 22 20 18 16 - 98 t - 153 t - 287 t - 432 t - 492 t - 428 t - 279 t 14 12 10 8 6 4 2 10 20 56 - 133 t - 41 t - 6 t + 3 t + 3 t + 2 t + t + 1) x + t (t 54 52 50 48 46 44 42 40 + t + 2 t + 3 t - 31 t - 186 t - 556 t - 1167 t - 1892 t 38 36 34 32 30 28 - 2518 t - 2871 t - 2918 t - 2757 t - 2561 t - 2475 t 26 24 22 20 18 16 - 2561 t - 2757 t - 2918 t - 2871 t - 2518 t - 1892 t 14 12 10 8 6 4 2 12 20 - 1167 t - 556 t - 186 t - 31 t + 3 t + 2 t + t + 1) x - t 8 56 54 52 50 48 46 44 42 (t + 1) (t + t + 2 t + 3 t + 3 t + 2 t + 2 t + 5 t 40 38 36 34 32 30 28 + 24 t + 42 t + 19 t - 92 t - 285 t - 479 t - 559 t 26 24 22 20 18 16 14 12 - 479 t - 285 t - 92 t + 19 t + 42 t + 24 t + 5 t + 2 t 10 8 6 4 2 13 30 52 50 48 + 2 t + 3 t + 3 t + 2 t + t + 1) x - t (t + t + 2 t 46 44 42 40 38 36 34 + 2 t + 23 t + 107 t + 288 t + 539 t + 751 t + 790 t 32 30 28 26 24 22 20 + 616 t + 304 t + 21 t - 91 t + 21 t + 304 t + 616 t 18 16 14 12 10 8 6 4 + 790 t + 751 t + 539 t + 288 t + 107 t + 23 t + 2 t + 2 t 2 8 15 30 68 66 64 62 60 58 + t + 1) (t + 1) x + t (t + t + 2 t + 2 t + 3 t + 3 t 56 54 52 50 48 46 44 42 + 2 t + t + 10 t + 43 t + 134 t + 278 t + 424 t + 484 t 40 38 36 34 32 30 28 + 431 t + 305 t + 197 t + 156 t + 197 t + 305 t + 431 t 26 24 22 20 18 16 14 12 + 484 t + 424 t + 278 t + 134 t + 43 t + 10 t + t + 2 t 10 8 6 4 2 16 42 28 26 24 22 + 3 t + 3 t + 2 t + 2 t + t + 1) x + t (t + t + t + t 20 18 16 14 12 10 8 6 4 2 - 7 t - 27 t - 55 t - 71 t - 55 t - 27 t - 7 t + t + t + t 16 8 8 2 18 42 2 2 8 + 1) (t - t + 1) (t + 1) x - t (t + t + 1) (t - t + 1) (t + 1) 40 34 28 26 24 22 20 18 16 14 (t + t + t - 2 t - 5 t - 19 t - 30 t - 19 t - 5 t - 2 t 12 6 16 8 19 56 16 8 2 8 3 21 + t + t + 1) (t - t + 1) x - t (t - t + 1) (t + 1) x 56 16 8 2 16 8 2 22 + t (t + 1) (t + 1) (t - t + 1) x ) and in Maple format (1-t^2*(t^6+t^5+t^4+t^3+t^2+t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^8+1)*x^3+t^6*(t^ 36+t^34+2*t^32+2*t^30-9*t^28-58*t^26-151*t^24-259*t^22-337*t^20-366*t^18-337*t^ 16-259*t^14-151*t^12-58*t^10-9*t^8+2*t^6+2*t^4+t^2+1)*x^6-t^12*(t^40+t^38+2*t^ 36+3*t^34+37*t^32+182*t^30+517*t^28+1039*t^26+1636*t^24+2111*t^22+2292*t^20+ 2111*t^18+1636*t^16+1039*t^14+517*t^12+182*t^10+37*t^8+3*t^6+2*t^4+t^2+1)*(t^8+ 1)*x^9+t^20*(t^56+t^54+2*t^52+3*t^50-31*t^48-186*t^46-556*t^44-1167*t^42-1892*t ^40-2518*t^38-2871*t^36-2918*t^34-2757*t^32-2561*t^30-2475*t^28-2561*t^26-2757* t^24-2918*t^22-2871*t^20-2518*t^18-1892*t^16-1167*t^14-556*t^12-186*t^10-31*t^8 +3*t^6+2*t^4+t^2+1)*x^12-t^30*(t^52+t^50+2*t^48+2*t^46+23*t^44+107*t^42+288*t^ 40+539*t^38+751*t^36+790*t^34+616*t^32+304*t^30+21*t^28-91*t^26+21*t^24+304*t^ 22+616*t^20+790*t^18+751*t^16+539*t^14+288*t^12+107*t^10+23*t^8+2*t^6+2*t^4+t^2 +1)*(t^8+1)*x^15+t^42*(t^28+t^26+t^24+t^22-7*t^20-27*t^18-55*t^16-71*t^14-55*t^ 12-27*t^10-7*t^8+t^6+t^4+t^2+1)*(t^16-t^8+1)*(t^8+1)^2*x^18-t^56*(t^16-t^8+1)^2 *(t^8+1)^3*x^21)/(1+(-t^8-1)*x-t^2*(t^6+t^5+t^4+t^3+t^2+t+1)*(t^6-t^5+t^4-t^3+t ^2-t+1)*(t^8+1)*x^3+t^2*(t^28+t^26+t^24+t^22-5*t^20-25*t^18-53*t^16-68*t^14-53* t^12-25*t^10-5*t^8+t^6+t^4+t^2+1)*x^4+t^6*(t^36+t^34+2*t^32+2*t^30-9*t^28-58*t^ 26-151*t^24-259*t^22-337*t^20-366*t^18-337*t^16-259*t^14-151*t^12-58*t^10-9*t^8 +2*t^6+2*t^4+t^2+1)*x^6-t^6*(t^8+1)*(t^36+t^34+2*t^32+2*t^30+11*t^28+46*t^26+ 135*t^24+279*t^22+425*t^20+486*t^18+425*t^16+279*t^14+135*t^12+46*t^10+11*t^8+2 *t^6+2*t^4+t^2+1)*x^7-t^12*(t^40+t^38+2*t^36+3*t^34+37*t^32+182*t^30+517*t^28+ 1039*t^26+1636*t^24+2111*t^22+2292*t^20+2111*t^18+1636*t^16+1039*t^14+517*t^12+ 182*t^10+37*t^8+3*t^6+2*t^4+t^2+1)*(t^8+1)*x^9+t^12*(t^56+t^54+2*t^52+3*t^50+3* t^48-6*t^46-41*t^44-133*t^42-279*t^40-428*t^38-492*t^36-432*t^34-287*t^32-153*t ^30-98*t^28-153*t^26-287*t^24-432*t^22-492*t^20-428*t^18-279*t^16-133*t^14-41*t ^12-6*t^10+3*t^8+3*t^6+2*t^4+t^2+1)*x^10+t^20*(t^56+t^54+2*t^52+3*t^50-31*t^48-\ 186*t^46-556*t^44-1167*t^42-1892*t^40-2518*t^38-2871*t^36-2918*t^34-2757*t^32-\ 2561*t^30-2475*t^28-2561*t^26-2757*t^24-2918*t^22-2871*t^20-2518*t^18-1892*t^16 -1167*t^14-556*t^12-186*t^10-31*t^8+3*t^6+2*t^4+t^2+1)*x^12-t^20*(t^8+1)*(t^56+ t^54+2*t^52+3*t^50+3*t^48+2*t^46+2*t^44+5*t^42+24*t^40+42*t^38+19*t^36-92*t^34-\ 285*t^32-479*t^30-559*t^28-479*t^26-285*t^24-92*t^22+19*t^20+42*t^18+24*t^16+5* t^14+2*t^12+2*t^10+3*t^8+3*t^6+2*t^4+t^2+1)*x^13-t^30*(t^52+t^50+2*t^48+2*t^46+ 23*t^44+107*t^42+288*t^40+539*t^38+751*t^36+790*t^34+616*t^32+304*t^30+21*t^28-\ 91*t^26+21*t^24+304*t^22+616*t^20+790*t^18+751*t^16+539*t^14+288*t^12+107*t^10+ 23*t^8+2*t^6+2*t^4+t^2+1)*(t^8+1)*x^15+t^30*(t^68+t^66+2*t^64+2*t^62+3*t^60+3*t ^58+2*t^56+t^54+10*t^52+43*t^50+134*t^48+278*t^46+424*t^44+484*t^42+431*t^40+ 305*t^38+197*t^36+156*t^34+197*t^32+305*t^30+431*t^28+484*t^26+424*t^24+278*t^ 22+134*t^20+43*t^18+10*t^16+t^14+2*t^12+3*t^10+3*t^8+2*t^6+2*t^4+t^2+1)*x^16+t^ 42*(t^28+t^26+t^24+t^22-7*t^20-27*t^18-55*t^16-71*t^14-55*t^12-27*t^10-7*t^8+t^ 6+t^4+t^2+1)*(t^16-t^8+1)*(t^8+1)^2*x^18-t^42*(t^2+t+1)*(t^2-t+1)*(t^8+1)*(t^40 +t^34+t^28-2*t^26-5*t^24-19*t^22-30*t^20-19*t^18-5*t^16-2*t^14+t^12+t^6+1)*(t^ 16-t^8+1)*x^19-t^56*(t^16-t^8+1)^2*(t^8+1)^3*x^21+t^56*(t^16+1)*(t^8+1)^2*(t^16 -t^8+1)^2*x^22) J[8, 4](t, x), equals 3 6 5 4 3 2 8 (1 - t (t + t + t + t + t + t + 1) (t + 1) 12 11 9 8 6 4 3 4 9 46 43 40 (t - t + t - t + t - t + t - t + 1) x + t (t + t + 2 t 38 37 35 34 32 31 30 29 - 12 t + 2 t - 61 t + 3 t - 154 t + 3 t + t - 261 t 28 27 26 25 24 23 22 21 + 3 t + t - 340 t + 2 t + 2 t - 368 t + 2 t + 2 t 20 19 18 17 16 15 14 12 11 - 340 t + t + 3 t - 261 t + t + 3 t - 154 t + 3 t - 61 t 9 8 6 3 8 18 52 49 46 44 + 2 t - 12 t + 2 t + t + 1) x - t (t + t + 2 t + 33 t 43 41 40 38 37 36 35 34 33 + 3 t + 178 t + 4 t + 512 t + 4 t + t + 1035 t + 5 t + t 32 31 30 29 28 27 26 25 + 1631 t + 4 t + 2 t + 2107 t + 4 t + 3 t + 2288 t + 3 t 24 23 22 21 20 19 18 17 + 4 t + 2107 t + 2 t + 4 t + 1631 t + t + 5 t + 1035 t 16 15 14 12 11 9 8 6 3 + t + 4 t + 512 t + 4 t + 178 t + 3 t + 33 t + 2 t + t + 1) 8 12 30 2 66 65 60 59 58 (t + 1) x + t (t - t + 1) (t + t + 2 t + 2 t - 35 t 57 56 55 54 53 52 51 50 - 34 t + t - 155 t - 152 t + 3 t - 406 t - 405 t - t 49 48 47 46 45 44 43 - 767 t - 761 t - 26 t - 1159 t - 1129 t - 123 t - 1483 t 42 41 40 39 38 37 36 - 1391 t - 338 t - 1667 t - 1516 t - 678 t - 1651 t - 1532 t 35 34 33 32 31 30 - 1081 t - 1442 t - 1531 t - 1442 t - 1081 t - 1532 t 29 28 27 26 25 24 23 - 1651 t - 678 t - 1516 t - 1667 t - 338 t - 1391 t - 1483 t 22 21 20 19 18 17 16 - 123 t - 1129 t - 1159 t - 26 t - 761 t - 767 t - t 15 14 13 12 11 10 9 8 - 405 t - 406 t + 3 t - 152 t - 155 t + t - 34 t - 35 t 7 6 16 45 2 60 59 54 53 + 2 t + 2 t + t + 1) x - t (t - t + 1) (t + t + 2 t + 2 t 52 51 49 48 47 46 45 44 + 20 t + 20 t + 84 t + 87 t + 3 t + 201 t + 201 t - 12 t 43 42 41 40 39 38 37 + 324 t + 339 t - 46 t + 376 t + 424 t - 98 t + 328 t 36 35 34 33 32 31 30 + 448 t - 113 t + 200 t + 418 t - 66 t + 53 t + 405 t 29 28 27 26 25 24 23 + 53 t - 66 t + 418 t + 200 t - 113 t + 448 t + 328 t 22 21 20 19 18 17 16 - 98 t + 424 t + 376 t - 46 t + 339 t + 324 t - 12 t 15 14 13 12 11 9 8 7 + 201 t + 201 t + 3 t + 87 t + 84 t + 20 t + 20 t + 2 t 6 8 20 63 34 31 28 26 25 23 + 2 t + t + 1) (t + 1) x + t (t + t + t - 8 t + t - 28 t 22 20 19 18 17 16 15 14 12 11 + t - 56 t + t + t - 71 t + t + t - 56 t + t - 28 t 9 8 6 3 16 8 8 2 24 + t - 8 t + t + t + 1) (t - t + 1) (t + 1) x 84 16 8 2 8 3 28 / 8 3 - t (t - t + 1) (t + 1) x ) / (1 + (-t - 1) x - t / 6 5 4 3 2 8 (t + t + t + t + t + t + 1) (t + 1) 12 11 9 8 6 4 3 4 3 34 31 28 (t - t + t - t + t - t + t - t + 1) x + t (t + t + t 26 25 23 22 20 19 18 17 16 15 - 6 t + t - 26 t + t - 54 t + t + t - 68 t + t + t 14 12 11 9 8 6 3 5 9 46 43 - 54 t + t - 26 t + t - 6 t + t + t + 1) x + t (t + t 40 38 37 35 34 32 31 30 + 2 t - 12 t + 2 t - 61 t + 3 t - 154 t + 3 t + t 29 28 27 26 25 24 23 22 - 261 t + 3 t + t - 340 t + 2 t + 2 t - 368 t + 2 t 21 20 19 18 17 16 15 14 12 + 2 t - 340 t + t + 3 t - 261 t + t + 3 t - 154 t + 3 t 11 9 8 6 3 8 9 46 43 40 - 61 t + 2 t - 12 t + 2 t + t + 1) x - t (t + t + 2 t 38 37 35 34 32 31 30 29 28 + 8 t + 2 t + 43 t + 3 t + 132 t + 3 t + t + 277 t + 3 t 27 26 25 24 23 22 21 20 19 + t + 422 t + 2 t + 2 t + 484 t + 2 t + 2 t + 422 t + t 18 17 16 15 14 12 11 9 8 + 3 t + 277 t + t + 3 t + 132 t + 3 t + 43 t + 2 t + 8 t 6 3 8 9 18 52 49 46 44 43 + 2 t + t + 1) (t + 1) x - t (t + t + 2 t + 33 t + 3 t 41 40 38 37 36 35 34 33 + 178 t + 4 t + 512 t + 4 t + t + 1035 t + 5 t + t 32 31 30 29 28 27 26 25 + 1631 t + 4 t + 2 t + 2107 t + 4 t + 3 t + 2288 t + 3 t 24 23 22 21 20 19 18 17 + 4 t + 2107 t + 2 t + 4 t + 1631 t + t + 5 t + 1035 t 16 15 14 12 11 9 8 6 3 + t + 4 t + 512 t + 4 t + 178 t + 3 t + 33 t + 2 t + t + 1) 8 12 18 68 65 62 60 59 57 56 (t + 1) x + t (t + t + 2 t - t + 3 t - 10 t + 4 t 54 53 51 50 49 48 47 46 - 46 t + 4 t - 137 t + 5 t - 2 t - 283 t + 4 t - 2 t 45 44 43 42 41 40 39 38 - 429 t + 3 t - 4 t - 492 t - 7 t - 4 t - 429 t - 44 t 37 36 35 34 33 32 31 30 - 6 t - 282 t - 136 t - 6 t - 136 t - 282 t - 6 t - 44 t 29 28 27 26 25 24 23 22 - 429 t - 4 t - 7 t - 492 t - 4 t + 3 t - 429 t - 2 t 21 20 19 18 17 15 14 12 + 4 t - 283 t - 2 t + 5 t - 137 t + 4 t - 46 t + 4 t 11 9 8 6 3 13 30 2 66 65 - 10 t + 3 t - t + 2 t + t + 1) x + t (t - t + 1) (t + t 60 59 58 57 56 55 54 53 + 2 t + 2 t - 35 t - 34 t + t - 155 t - 152 t + 3 t 52 51 50 49 48 47 46 - 406 t - 405 t - t - 767 t - 761 t - 26 t - 1159 t 45 44 43 42 41 40 39 - 1129 t - 123 t - 1483 t - 1391 t - 338 t - 1667 t - 1516 t 38 37 36 35 34 33 - 678 t - 1651 t - 1532 t - 1081 t - 1442 t - 1531 t 32 31 30 29 28 27 - 1442 t - 1081 t - 1532 t - 1651 t - 678 t - 1516 t 26 25 24 23 22 21 20 - 1667 t - 338 t - 1391 t - 1483 t - 123 t - 1129 t - 1159 t 19 18 17 16 15 14 13 12 - 26 t - 761 t - 767 t - t - 405 t - 406 t + 3 t - 152 t 11 10 9 8 7 6 16 30 - 155 t + t - 34 t - 35 t + 2 t + 2 t + t + 1) x - t 2 8 66 65 60 59 58 56 55 54 (t - t + 1) (t + 1) (t + t + 2 t + 2 t - t + t - t + 2 t 53 52 51 50 49 48 47 46 45 + 3 t - 2 t - t + t + 3 t + 7 t - 4 t + 9 t + 17 t 44 43 42 41 40 39 38 37 - 35 t - 5 t + 33 t - 102 t - 75 t + 28 t - 202 t - 183 t 36 35 34 33 32 31 30 + 18 t - 277 t - 274 t + 5 t - 274 t - 277 t + 18 t 29 28 27 26 25 24 23 22 - 183 t - 202 t + 28 t - 75 t - 102 t + 33 t - 5 t - 35 t 21 20 19 18 17 16 15 14 13 + 17 t + 9 t - 4 t + 7 t + 3 t + t - t - 2 t + 3 t 12 11 10 8 7 6 17 45 2 + 2 t - t + t - t + 2 t + 2 t + t + 1) x - t (t - t + 1) ( 60 59 54 53 52 51 49 48 47 t + t + 2 t + 2 t + 20 t + 20 t + 84 t + 87 t + 3 t 46 45 44 43 42 41 40 + 201 t + 201 t - 12 t + 324 t + 339 t - 46 t + 376 t 39 38 37 36 35 34 33 + 424 t - 98 t + 328 t + 448 t - 113 t + 200 t + 418 t 32 31 30 29 28 27 26 - 66 t + 53 t + 405 t + 53 t - 66 t + 418 t + 200 t 25 24 23 22 21 20 19 - 113 t + 448 t + 328 t - 98 t + 424 t + 376 t - 46 t 18 17 16 15 14 13 12 11 + 339 t + 324 t - 12 t + 201 t + 201 t + 3 t + 87 t + 84 t 9 8 7 6 8 20 45 2 + 20 t + 20 t + 2 t + 2 t + t + 1) (t + 1) x + t (t - t + 1) ( 76 75 70 69 64 63 62 61 60 59 t + t + 2 t + 2 t + 3 t + 3 t - t - t + 9 t + 9 t 58 57 56 55 54 53 52 51 + 3 t + 38 t + 34 t - 2 t + 98 t + 98 t + 2 t + 183 t 50 49 48 47 46 45 44 43 + 180 t - 2 t + 243 t + 244 t + 8 t + 248 t + 248 t + 26 t 42 41 40 39 38 37 36 + 203 t + 221 t + 72 t + 130 t + 192 t + 130 t + 72 t 35 34 33 32 31 30 29 + 221 t + 203 t + 26 t + 248 t + 248 t + 8 t + 244 t 28 27 26 25 24 23 22 21 + 243 t - 2 t + 180 t + 183 t + 2 t + 98 t + 98 t - 2 t 20 19 18 17 16 15 14 13 12 + 34 t + 38 t + 3 t + 9 t + 9 t - t - t + 3 t + 3 t 7 6 21 63 34 31 28 26 25 23 + 2 t + 2 t + t + 1) x + t (t + t + t - 8 t + t - 28 t 22 20 19 18 17 16 15 14 12 11 + t - 56 t + t + t - 71 t + t + t - 56 t + t - 28 t 9 8 6 3 16 8 8 2 24 63 50 47 + t - 8 t + t + t + 1) (t - t + 1) (t + 1) x - t (t + t 44 41 38 35 34 33 32 31 28 25 + t + t + t + t - 6 t - t + t - 26 t - 54 t - 68 t 22 19 18 17 16 15 12 9 6 3 - 54 t - 26 t + t - t - 6 t + t + t + t + t + t + 1) 8 16 8 25 84 16 8 2 8 3 28 (t + 1) (t - t + 1) x - t (t - t + 1) (t + 1) x 84 16 8 2 16 8 2 29 + t (t + 1) (t + 1) (t - t + 1) x ) and in Maple format (1-t^3*(t^6+t^5+t^4+t^3+t^2+t+1)*(t^8+1)*(t^12-t^11+t^9-t^8+t^6-t^4+t^3-t+1)*x^ 4+t^9*(t^46+t^43+2*t^40-12*t^38+2*t^37-61*t^35+3*t^34-154*t^32+3*t^31+t^30-261* t^29+3*t^28+t^27-340*t^26+2*t^25+2*t^24-368*t^23+2*t^22+2*t^21-340*t^20+t^19+3* t^18-261*t^17+t^16+3*t^15-154*t^14+3*t^12-61*t^11+2*t^9-12*t^8+2*t^6+t^3+1)*x^8 -t^18*(t^52+t^49+2*t^46+33*t^44+3*t^43+178*t^41+4*t^40+512*t^38+4*t^37+t^36+ 1035*t^35+5*t^34+t^33+1631*t^32+4*t^31+2*t^30+2107*t^29+4*t^28+3*t^27+2288*t^26 +3*t^25+4*t^24+2107*t^23+2*t^22+4*t^21+1631*t^20+t^19+5*t^18+1035*t^17+t^16+4*t ^15+512*t^14+4*t^12+178*t^11+3*t^9+33*t^8+2*t^6+t^3+1)*(t^8+1)*x^12+t^30*(t^2-t +1)*(t^66+t^65+2*t^60+2*t^59-35*t^58-34*t^57+t^56-155*t^55-152*t^54+3*t^53-406* t^52-405*t^51-t^50-767*t^49-761*t^48-26*t^47-1159*t^46-1129*t^45-123*t^44-1483* t^43-1391*t^42-338*t^41-1667*t^40-1516*t^39-678*t^38-1651*t^37-1532*t^36-1081*t ^35-1442*t^34-1531*t^33-1442*t^32-1081*t^31-1532*t^30-1651*t^29-678*t^28-1516*t ^27-1667*t^26-338*t^25-1391*t^24-1483*t^23-123*t^22-1129*t^21-1159*t^20-26*t^19 -761*t^18-767*t^17-t^16-405*t^15-406*t^14+3*t^13-152*t^12-155*t^11+t^10-34*t^9-\ 35*t^8+2*t^7+2*t^6+t+1)*x^16-t^45*(t^2-t+1)*(t^60+t^59+2*t^54+2*t^53+20*t^52+20 *t^51+84*t^49+87*t^48+3*t^47+201*t^46+201*t^45-12*t^44+324*t^43+339*t^42-46*t^ 41+376*t^40+424*t^39-98*t^38+328*t^37+448*t^36-113*t^35+200*t^34+418*t^33-66*t^ 32+53*t^31+405*t^30+53*t^29-66*t^28+418*t^27+200*t^26-113*t^25+448*t^24+328*t^ 23-98*t^22+424*t^21+376*t^20-46*t^19+339*t^18+324*t^17-12*t^16+201*t^15+201*t^ 14+3*t^13+87*t^12+84*t^11+20*t^9+20*t^8+2*t^7+2*t^6+t+1)*(t^8+1)*x^20+t^63*(t^ 34+t^31+t^28-8*t^26+t^25-28*t^23+t^22-56*t^20+t^19+t^18-71*t^17+t^16+t^15-56*t^ 14+t^12-28*t^11+t^9-8*t^8+t^6+t^3+1)*(t^16-t^8+1)*(t^8+1)^2*x^24-t^84*(t^16-t^8 +1)^2*(t^8+1)^3*x^28)/(1+(-t^8-1)*x-t^3*(t^6+t^5+t^4+t^3+t^2+t+1)*(t^8+1)*(t^12 -t^11+t^9-t^8+t^6-t^4+t^3-t+1)*x^4+t^3*(t^34+t^31+t^28-6*t^26+t^25-26*t^23+t^22 -54*t^20+t^19+t^18-68*t^17+t^16+t^15-54*t^14+t^12-26*t^11+t^9-6*t^8+t^6+t^3+1)* x^5+t^9*(t^46+t^43+2*t^40-12*t^38+2*t^37-61*t^35+3*t^34-154*t^32+3*t^31+t^30-\ 261*t^29+3*t^28+t^27-340*t^26+2*t^25+2*t^24-368*t^23+2*t^22+2*t^21-340*t^20+t^ 19+3*t^18-261*t^17+t^16+3*t^15-154*t^14+3*t^12-61*t^11+2*t^9-12*t^8+2*t^6+t^3+1 )*x^8-t^9*(t^46+t^43+2*t^40+8*t^38+2*t^37+43*t^35+3*t^34+132*t^32+3*t^31+t^30+ 277*t^29+3*t^28+t^27+422*t^26+2*t^25+2*t^24+484*t^23+2*t^22+2*t^21+422*t^20+t^ 19+3*t^18+277*t^17+t^16+3*t^15+132*t^14+3*t^12+43*t^11+2*t^9+8*t^8+2*t^6+t^3+1) *(t^8+1)*x^9-t^18*(t^52+t^49+2*t^46+33*t^44+3*t^43+178*t^41+4*t^40+512*t^38+4*t ^37+t^36+1035*t^35+5*t^34+t^33+1631*t^32+4*t^31+2*t^30+2107*t^29+4*t^28+3*t^27+ 2288*t^26+3*t^25+4*t^24+2107*t^23+2*t^22+4*t^21+1631*t^20+t^19+5*t^18+1035*t^17 +t^16+4*t^15+512*t^14+4*t^12+178*t^11+3*t^9+33*t^8+2*t^6+t^3+1)*(t^8+1)*x^12+t^ 18*(t^68+t^65+2*t^62-t^60+3*t^59-10*t^57+4*t^56-46*t^54+4*t^53-137*t^51+5*t^50-\ 2*t^49-283*t^48+4*t^47-2*t^46-429*t^45+3*t^44-4*t^43-492*t^42-7*t^41-4*t^40-429 *t^39-44*t^38-6*t^37-282*t^36-136*t^35-6*t^34-136*t^33-282*t^32-6*t^31-44*t^30-\ 429*t^29-4*t^28-7*t^27-492*t^26-4*t^25+3*t^24-429*t^23-2*t^22+4*t^21-283*t^20-2 *t^19+5*t^18-137*t^17+4*t^15-46*t^14+4*t^12-10*t^11+3*t^9-t^8+2*t^6+t^3+1)*x^13 +t^30*(t^2-t+1)*(t^66+t^65+2*t^60+2*t^59-35*t^58-34*t^57+t^56-155*t^55-152*t^54 +3*t^53-406*t^52-405*t^51-t^50-767*t^49-761*t^48-26*t^47-1159*t^46-1129*t^45-\ 123*t^44-1483*t^43-1391*t^42-338*t^41-1667*t^40-1516*t^39-678*t^38-1651*t^37-\ 1532*t^36-1081*t^35-1442*t^34-1531*t^33-1442*t^32-1081*t^31-1532*t^30-1651*t^29 -678*t^28-1516*t^27-1667*t^26-338*t^25-1391*t^24-1483*t^23-123*t^22-1129*t^21-\ 1159*t^20-26*t^19-761*t^18-767*t^17-t^16-405*t^15-406*t^14+3*t^13-152*t^12-155* t^11+t^10-34*t^9-35*t^8+2*t^7+2*t^6+t+1)*x^16-t^30*(t^2-t+1)*(t^8+1)*(t^66+t^65 +2*t^60+2*t^59-t^58+t^56-t^55+2*t^54+3*t^53-2*t^52-t^51+t^50+3*t^49+7*t^48-4*t^ 47+9*t^46+17*t^45-35*t^44-5*t^43+33*t^42-102*t^41-75*t^40+28*t^39-202*t^38-183* t^37+18*t^36-277*t^35-274*t^34+5*t^33-274*t^32-277*t^31+18*t^30-183*t^29-202*t^ 28+28*t^27-75*t^26-102*t^25+33*t^24-5*t^23-35*t^22+17*t^21+9*t^20-4*t^19+7*t^18 +3*t^17+t^16-t^15-2*t^14+3*t^13+2*t^12-t^11+t^10-t^8+2*t^7+2*t^6+t+1)*x^17-t^45 *(t^2-t+1)*(t^60+t^59+2*t^54+2*t^53+20*t^52+20*t^51+84*t^49+87*t^48+3*t^47+201* t^46+201*t^45-12*t^44+324*t^43+339*t^42-46*t^41+376*t^40+424*t^39-98*t^38+328*t ^37+448*t^36-113*t^35+200*t^34+418*t^33-66*t^32+53*t^31+405*t^30+53*t^29-66*t^ 28+418*t^27+200*t^26-113*t^25+448*t^24+328*t^23-98*t^22+424*t^21+376*t^20-46*t^ 19+339*t^18+324*t^17-12*t^16+201*t^15+201*t^14+3*t^13+87*t^12+84*t^11+20*t^9+20 *t^8+2*t^7+2*t^6+t+1)*(t^8+1)*x^20+t^45*(t^2-t+1)*(t^76+t^75+2*t^70+2*t^69+3*t^ 64+3*t^63-t^62-t^61+9*t^60+9*t^59+3*t^58+38*t^57+34*t^56-2*t^55+98*t^54+98*t^53 +2*t^52+183*t^51+180*t^50-2*t^49+243*t^48+244*t^47+8*t^46+248*t^45+248*t^44+26* t^43+203*t^42+221*t^41+72*t^40+130*t^39+192*t^38+130*t^37+72*t^36+221*t^35+203* t^34+26*t^33+248*t^32+248*t^31+8*t^30+244*t^29+243*t^28-2*t^27+180*t^26+183*t^ 25+2*t^24+98*t^23+98*t^22-2*t^21+34*t^20+38*t^19+3*t^18+9*t^17+9*t^16-t^15-t^14 +3*t^13+3*t^12+2*t^7+2*t^6+t+1)*x^21+t^63*(t^34+t^31+t^28-8*t^26+t^25-28*t^23+t ^22-56*t^20+t^19+t^18-71*t^17+t^16+t^15-56*t^14+t^12-28*t^11+t^9-8*t^8+t^6+t^3+ 1)*(t^16-t^8+1)*(t^8+1)^2*x^24-t^63*(t^50+t^47+t^44+t^41+t^38+t^35-6*t^34-t^33+ t^32-26*t^31-54*t^28-68*t^25-54*t^22-26*t^19+t^18-t^17-6*t^16+t^15+t^12+t^9+t^6 +t^3+1)*(t^8+1)*(t^16-t^8+1)*x^25-t^84*(t^16-t^8+1)^2*(t^8+1)^3*x^28+t^84*(t^16 +1)*(t^8+1)^2*(t^16-t^8+1)^2*x^29) J[8, 5](t, x), equals 4 8 6 5 4 3 2 (1 - t (t + 1) (t + t + t + t + t + t + 1) 6 5 4 3 2 12 10 8 6 4 2 5 (t - t + t - t + t - t + 1) (t - t + t - t + t - t + 1) x + 12 56 52 48 44 40 36 32 28 t (t + t - 10 t - 59 t - 150 t - 257 t - 335 t - 364 t 24 20 16 12 8 4 10 24 64 - 335 t - 257 t - 150 t - 59 t - 10 t + t + 1) x - t (t 60 56 52 48 44 40 36 + t + 35 t + 181 t + 517 t + 1040 t + 1638 t + 2114 t 32 28 24 20 16 12 8 + 2296 t + 2114 t + 1638 t + 1040 t + 517 t + 181 t + 35 t 4 8 15 40 80 76 72 68 64 + t + 1) (t + 1) x + t (t + t - 33 t - 187 t - 559 t 60 56 52 48 44 40 - 1199 t - 2077 t - 3105 t - 4105 t - 4856 t - 5137 t 36 32 28 24 20 16 12 - 4856 t - 4105 t - 3105 t - 2077 t - 1199 t - 559 t - 187 t 8 4 20 60 8 72 68 64 60 - 33 t + t + 1) x - t (t + 1) (t + t + 22 t + 106 t 56 52 48 44 40 36 32 + 276 t + 479 t + 638 t + 723 t + 765 t + 777 t + 765 t 28 24 20 16 12 8 4 25 + 723 t + 638 t + 479 t + 276 t + 106 t + 22 t + t + 1) x + 84 40 36 32 28 24 20 16 12 8 t (t + t - 7 t - 27 t - 54 t - 69 t - 54 t - 27 t - 7 t 4 16 8 8 2 30 + t + 1) (t - t + 1) (t + 1) x 112 16 8 2 8 3 35 / 8 4 8 - t (t - t + 1) (t + 1) x ) / (1 + (-t - 1) x - t (t + 1) / 6 5 4 3 2 6 5 4 3 2 (t + t + t + t + t + t + 1) (t - t + t - t + t - t + 1) 12 10 8 6 4 2 5 4 40 36 32 28 (t - t + t - t + t - t + 1) x + t (t + t - 5 t - 25 t 24 20 16 12 8 4 6 12 56 52 - 52 t - 66 t - 52 t - 25 t - 5 t + t + 1) x + t (t + t 48 44 40 36 32 28 24 - 10 t - 59 t - 150 t - 257 t - 335 t - 364 t - 335 t 20 16 12 8 4 10 12 8 56 - 257 t - 150 t - 59 t - 10 t + t + 1) x - t (t + 1) (t 52 48 44 40 36 32 28 24 + t + 10 t + 45 t + 136 t + 281 t + 427 t + 488 t + 427 t 20 16 12 8 4 11 24 64 60 + 281 t + 136 t + 45 t + 10 t + t + 1) x - t (t + t 56 52 48 44 40 36 32 + 35 t + 181 t + 517 t + 1040 t + 1638 t + 2114 t + 2296 t 28 24 20 16 12 8 4 + 2114 t + 1638 t + 1040 t + 517 t + 181 t + 35 t + t + 1) 8 15 24 80 76 72 68 64 60 56 (t + 1) x + t (t + t + t - 7 t - 42 t - 135 t - 281 t 52 48 44 40 36 32 28 - 439 t - 537 t - 568 t - 568 t - 568 t - 537 t - 439 t 24 20 16 12 8 4 16 40 80 76 - 281 t - 135 t - 42 t - 7 t + t + t + 1) x + t (t + t 72 68 64 60 56 52 48 - 33 t - 187 t - 559 t - 1199 t - 2077 t - 3105 t - 4105 t 44 40 36 32 28 24 - 4856 t - 5137 t - 4856 t - 4105 t - 3105 t - 2077 t 20 16 12 8 4 20 40 8 80 - 1199 t - 559 t - 187 t - 33 t + t + 1) x - t (t + 1) (t 76 72 68 64 60 56 52 48 44 + t + t + t + t - 3 t - 19 t - 91 t - 243 t - 426 t 40 36 32 28 24 20 16 12 8 - 509 t - 426 t - 243 t - 91 t - 19 t - 3 t + t + t + t 4 21 60 8 72 68 64 60 56 + t + 1) x - t (t + 1) (t + t + 22 t + 106 t + 276 t 52 48 44 40 36 32 28 + 479 t + 638 t + 723 t + 765 t + 777 t + 765 t + 723 t 24 20 16 12 8 4 25 60 88 + 638 t + 479 t + 276 t + 106 t + 22 t + t + 1) x + t (t 84 80 76 72 68 64 60 56 + t + 2 t + 2 t + 11 t + 46 t + 136 t + 279 t + 441 t 52 48 44 40 36 32 28 + 554 t + 613 t + 626 t + 613 t + 554 t + 441 t + 279 t 24 20 16 12 8 4 26 84 40 36 + 136 t + 46 t + 11 t + 2 t + 2 t + t + 1) x + t (t + t 32 28 24 20 16 12 8 4 - 7 t - 27 t - 54 t - 69 t - 54 t - 27 t - 7 t + t + 1) 16 8 8 2 30 84 8 2 2 (t - t + 1) (t + 1) x - t (t + 1) (t + t + 1) (t - t + 1) 4 2 (t - t + 1) 48 36 32 28 24 20 16 12 (t + t - 6 t - 21 t - 26 t - 21 t - 6 t + t + 1) 16 8 31 112 16 8 2 8 3 35 (t - t + 1) x - t (t - t + 1) (t + 1) x 112 16 8 2 16 8 2 36 + t (t + 1) (t + 1) (t - t + 1) x ) and in Maple format (1-t^4*(t^8+1)*(t^6+t^5+t^4+t^3+t^2+t+1)*(t^6-t^5+t^4-t^3+t^2-t+1)*(t^12-t^10+t ^8-t^6+t^4-t^2+1)*x^5+t^12*(t^56+t^52-10*t^48-59*t^44-150*t^40-257*t^36-335*t^ 32-364*t^28-335*t^24-257*t^20-150*t^16-59*t^12-10*t^8+t^4+1)*x^10-t^24*(t^64+t^ 60+35*t^56+181*t^52+517*t^48+1040*t^44+1638*t^40+2114*t^36+2296*t^32+2114*t^28+ 1638*t^24+1040*t^20+517*t^16+181*t^12+35*t^8+t^4+1)*(t^8+1)*x^15+t^40*(t^80+t^ 76-33*t^72-187*t^68-559*t^64-1199*t^60-2077*t^56-3105*t^52-4105*t^48-4856*t^44-\ 5137*t^40-4856*t^36-4105*t^32-3105*t^28-2077*t^24-1199*t^20-559*t^16-187*t^12-\ 33*t^8+t^4+1)*x^20-t^60*(t^8+1)*(t^72+t^68+22*t^64+106*t^60+276*t^56+479*t^52+ 638*t^48+723*t^44+765*t^40+777*t^36+765*t^32+723*t^28+638*t^24+479*t^20+276*t^ 16+106*t^12+22*t^8+t^4+1)*x^25+t^84*(t^40+t^36-7*t^32-27*t^28-54*t^24-69*t^20-\ 54*t^16-27*t^12-7*t^8+t^4+1)*(t^16-t^8+1)*(t^8+1)^2*x^30-t^112*(t^16-t^8+1)^2*( t^8+1)^3*x^35)/(1+(-t^8-1)*x-t^4*(t^8+1)*(t^6+t^5+t^4+t^3+t^2+t+1)*(t^6-t^5+t^4 -t^3+t^2-t+1)*(t^12-t^10+t^8-t^6+t^4-t^2+1)*x^5+t^4*(t^40+t^36-5*t^32-25*t^28-\ 52*t^24-66*t^20-52*t^16-25*t^12-5*t^8+t^4+1)*x^6+t^12*(t^56+t^52-10*t^48-59*t^ 44-150*t^40-257*t^36-335*t^32-364*t^28-335*t^24-257*t^20-150*t^16-59*t^12-10*t^ 8+t^4+1)*x^10-t^12*(t^8+1)*(t^56+t^52+10*t^48+45*t^44+136*t^40+281*t^36+427*t^ 32+488*t^28+427*t^24+281*t^20+136*t^16+45*t^12+10*t^8+t^4+1)*x^11-t^24*(t^64+t^ 60+35*t^56+181*t^52+517*t^48+1040*t^44+1638*t^40+2114*t^36+2296*t^32+2114*t^28+ 1638*t^24+1040*t^20+517*t^16+181*t^12+35*t^8+t^4+1)*(t^8+1)*x^15+t^24*(t^80+t^ 76+t^72-7*t^68-42*t^64-135*t^60-281*t^56-439*t^52-537*t^48-568*t^44-568*t^40-\ 568*t^36-537*t^32-439*t^28-281*t^24-135*t^20-42*t^16-7*t^12+t^8+t^4+1)*x^16+t^ 40*(t^80+t^76-33*t^72-187*t^68-559*t^64-1199*t^60-2077*t^56-3105*t^52-4105*t^48 -4856*t^44-5137*t^40-4856*t^36-4105*t^32-3105*t^28-2077*t^24-1199*t^20-559*t^16 -187*t^12-33*t^8+t^4+1)*x^20-t^40*(t^8+1)*(t^80+t^76+t^72+t^68+t^64-3*t^60-19*t ^56-91*t^52-243*t^48-426*t^44-509*t^40-426*t^36-243*t^32-91*t^28-19*t^24-3*t^20 +t^16+t^12+t^8+t^4+1)*x^21-t^60*(t^8+1)*(t^72+t^68+22*t^64+106*t^60+276*t^56+ 479*t^52+638*t^48+723*t^44+765*t^40+777*t^36+765*t^32+723*t^28+638*t^24+479*t^ 20+276*t^16+106*t^12+22*t^8+t^4+1)*x^25+t^60*(t^88+t^84+2*t^80+2*t^76+11*t^72+ 46*t^68+136*t^64+279*t^60+441*t^56+554*t^52+613*t^48+626*t^44+613*t^40+554*t^36 +441*t^32+279*t^28+136*t^24+46*t^20+11*t^16+2*t^12+2*t^8+t^4+1)*x^26+t^84*(t^40 +t^36-7*t^32-27*t^28-54*t^24-69*t^20-54*t^16-27*t^12-7*t^8+t^4+1)*(t^16-t^8+1)* (t^8+1)^2*x^30-t^84*(t^8+1)*(t^2+t+1)*(t^2-t+1)*(t^4-t^2+1)*(t^48+t^36-6*t^32-\ 21*t^28-26*t^24-21*t^20-6*t^16+t^12+1)*(t^16-t^8+1)*x^31-t^112*(t^16-t^8+1)^2*( t^8+1)^3*x^35+t^112*(t^16+1)*(t^8+1)^2*(t^16-t^8+1)^2*x^36) J[8, 6](t, x), equals 5 6 5 4 3 2 8 24 23 19 18 17 (1 - t (t + t + t + t + t + t + 1) (t + 1) (t - t + t - t + t 16 14 13 12 11 10 8 7 6 5 6 15 - t + t - t + t - t + t - t + t - t + t - t + 1) x + t 66 61 58 56 53 51 50 48 46 45 (t + t - 12 t + 2 t - 61 t + 2 t + t - 154 t + 3 t + t 43 41 40 38 36 35 33 31 - 261 t + 3 t + 2 t - 340 t + 3 t + 2 t - 368 t + 2 t 30 28 26 25 23 21 20 18 16 + 3 t - 340 t + 2 t + 3 t - 261 t + t + 3 t - 154 t + t 15 13 10 8 5 12 30 76 71 68 + 2 t - 61 t + 2 t - 12 t + t + 1) x - t (t + t + 33 t 66 63 61 60 58 56 55 53 51 + 2 t + 178 t + 3 t + t + 512 t + 4 t + t + 1035 t + 4 t 50 48 46 45 43 41 40 38 + 2 t + 1631 t + 5 t + 3 t + 2107 t + 4 t + 4 t + 2288 t 36 35 33 31 30 28 26 25 + 4 t + 4 t + 2107 t + 3 t + 5 t + 1631 t + 2 t + 4 t 23 21 20 18 16 15 13 10 8 + 1035 t + t + 4 t + 512 t + t + 3 t + 178 t + 2 t + 33 t 5 8 18 50 92 87 84 82 79 77 + t + 1) (t + 1) x + t (t + t - 35 t + 2 t - 190 t + 3 t 76 74 72 71 69 68 67 66 - 2 t - 561 t + 4 t - 32 t - 1171 t - 35 t + 4 t - 153 t 64 63 62 61 60 59 58 57 - 1894 t - 190 t + 5 t - 430 t + t - 2489 t - 561 t + 4 t 56 55 54 53 52 51 50 - 829 t + t - 2720 t - 1171 t + 4 t - 1200 t + 2 t 49 48 47 46 45 44 43 - 2489 t - 1894 t + 3 t - 1353 t + 3 t - 1894 t - 2489 t 42 41 40 39 38 37 36 35 + 2 t - 1200 t + 4 t - 1171 t - 2720 t + t - 829 t + 4 t 34 33 32 31 30 29 28 - 561 t - 2489 t + t - 430 t + 5 t - 190 t - 1894 t 26 25 24 23 21 20 18 16 - 153 t + 4 t - 35 t - 1171 t - 32 t + 4 t - 561 t - 2 t 15 13 10 8 5 24 75 8 82 77 + 3 t - 190 t + 2 t - 35 t + t + 1) x - t (t + 1) (t + t 74 72 69 67 66 64 62 61 + 20 t + 2 t + 104 t + 2 t - 12 t + 285 t + 3 t - 61 t 59 58 57 56 54 53 52 51 + 537 t + 20 t + 3 t - 146 t + 761 t + 104 t + 3 t - 233 t 50 49 48 47 46 45 44 43 + t + 850 t + 285 t + 2 t - 284 t + t + 761 t + 537 t 42 41 40 39 38 37 36 35 + 2 t - 299 t + 2 t + 537 t + 761 t + t - 284 t + 2 t 34 33 32 31 30 29 28 26 + 285 t + 850 t + t - 233 t + 3 t + 104 t + 761 t - 146 t 25 24 23 21 20 18 16 15 + 3 t + 20 t + 537 t - 61 t + 3 t + 285 t - 12 t + 2 t 13 10 8 5 30 105 16 8 46 41 + 104 t + 2 t + 20 t + t + 1) x + t (t - t + 1) (t + t 38 36 33 31 30 28 26 25 23 21 - 8 t + t - 28 t + t + t - 56 t + t + t - 71 t + t 20 18 16 15 13 10 8 5 8 2 36 + t - 56 t + t + t - 28 t + t - 8 t + t + 1) (t + 1) x 140 16 8 2 8 3 42 / 8 5 - t (t - t + 1) (t + 1) x ) / (1 + (-t - 1) x - t / 6 5 4 3 2 8 24 23 19 18 17 (t + t + t + t + t + t + 1) (t + 1) (t - t + t - t + t 16 14 13 12 11 10 8 7 6 5 6 5 - t + t - t + t - t + t - t + t - t + t - t + 1) x + t ( 46 41 38 36 33 31 30 28 26 25 23 t + t - 6 t + t - 26 t + t + t - 54 t + t + t - 68 t 21 20 18 16 15 13 10 8 5 7 15 + t + t - 54 t + t + t - 26 t + t - 6 t + t + 1) x + t 66 61 58 56 53 51 50 48 46 45 (t + t - 12 t + 2 t - 61 t + 2 t + t - 154 t + 3 t + t 43 41 40 38 36 35 33 31 - 261 t + 3 t + 2 t - 340 t + 3 t + 2 t - 368 t + 2 t 30 28 26 25 23 21 20 18 16 + 3 t - 340 t + 2 t + 3 t - 261 t + t + 3 t - 154 t + t 15 13 10 8 5 12 15 66 61 58 + 2 t - 61 t + 2 t - 12 t + t + 1) x - t (t + t + 8 t 56 53 51 50 48 46 45 43 41 + 2 t + 43 t + 2 t + t + 132 t + 3 t + t + 277 t + 3 t 40 38 36 35 33 31 30 28 + 2 t + 422 t + 3 t + 2 t + 484 t + 2 t + 3 t + 422 t 26 25 23 21 20 18 16 15 13 + 2 t + 3 t + 277 t + t + 3 t + 132 t + t + 2 t + 43 t 10 8 5 8 13 30 76 71 68 66 + 2 t + 8 t + t + 1) (t + 1) x - t (t + t + 33 t + 2 t 63 61 60 58 56 55 53 51 50 + 178 t + 3 t + t + 512 t + 4 t + t + 1035 t + 4 t + 2 t 48 46 45 43 41 40 38 36 + 1631 t + 5 t + 3 t + 2107 t + 4 t + 4 t + 2288 t + 4 t 35 33 31 30 28 26 25 23 + 4 t + 2107 t + 3 t + 5 t + 1631 t + 2 t + 4 t + 1035 t 21 20 18 16 15 13 10 8 5 + t + 4 t + 512 t + t + 3 t + 178 t + 2 t + 33 t + t + 1) 8 18 30 92 87 84 82 79 77 74 (t + 1) x + t (t + t - t + 2 t - 10 t + 3 t - 46 t 72 71 69 68 67 66 64 63 62 + 4 t - 2 t - 137 t - t + 4 t - 2 t - 283 t - 10 t + 5 t 61 60 59 58 57 56 55 54 53 - 4 t + t - 429 t - 46 t + 4 t - 4 t + t - 492 t - 137 t 52 51 50 49 48 47 46 45 + 4 t - 6 t + 2 t - 429 t - 283 t + 3 t - 6 t + 3 t 44 43 42 41 40 39 38 37 - 283 t - 429 t + 2 t - 6 t + 4 t - 137 t - 492 t + t 36 35 34 33 32 31 30 29 - 4 t + 4 t - 46 t - 429 t + t - 4 t + 5 t - 10 t 28 26 25 24 23 21 20 18 15 - 283 t - 2 t + 4 t - t - 137 t - 2 t + 4 t - 46 t + 3 t 13 10 8 5 19 50 92 87 84 82 - 10 t + 2 t - t + t + 1) x + t (t + t - 35 t + 2 t 79 77 76 74 72 71 69 68 - 190 t + 3 t - 2 t - 561 t + 4 t - 32 t - 1171 t - 35 t 67 66 64 63 62 61 60 59 + 4 t - 153 t - 1894 t - 190 t + 5 t - 430 t + t - 2489 t 58 57 56 55 54 53 52 51 - 561 t + 4 t - 829 t + t - 2720 t - 1171 t + 4 t - 1200 t 50 49 48 47 46 45 44 + 2 t - 2489 t - 1894 t + 3 t - 1353 t + 3 t - 1894 t 43 42 41 40 39 38 37 - 2489 t + 2 t - 1200 t + 4 t - 1171 t - 2720 t + t 36 35 34 33 32 31 30 29 - 829 t + 4 t - 561 t - 2489 t + t - 430 t + 5 t - 190 t 28 26 25 24 23 21 20 - 1894 t - 153 t + 4 t - 35 t - 1171 t - 32 t + 4 t 18 16 15 13 10 8 5 24 50 - 561 t - 2 t + 3 t - 190 t + 2 t - 35 t + t + 1) x - t 8 92 87 84 82 79 77 74 72 71 (t + 1) (t + t - t + 2 t - 2 t + 3 t - 3 t + 4 t - 8 t 69 68 67 66 64 63 62 61 60 + t - t + 4 t - 43 t + 20 t - 2 t + 5 t - 140 t + t 59 58 57 56 55 54 53 52 51 + 47 t - 3 t + 4 t - 305 t + t + 60 t + t + 4 t - 478 t 50 49 48 47 46 45 44 43 + 2 t + 47 t + 20 t + 3 t - 553 t + 3 t + 20 t + 47 t 42 41 40 39 38 37 36 35 34 + 2 t - 478 t + 4 t + t + 60 t + t - 305 t + 4 t - 3 t 33 32 31 30 29 28 26 25 24 + 47 t + t - 140 t + 5 t - 2 t + 20 t - 43 t + 4 t - t 23 21 20 18 15 13 10 8 5 25 + t - 8 t + 4 t - 3 t + 3 t - 2 t + 2 t - t + t + 1) x 75 8 82 77 74 72 69 67 66 - t (t + 1) (t + t + 20 t + 2 t + 104 t + 2 t - 12 t 64 62 61 59 58 57 56 54 + 285 t + 3 t - 61 t + 537 t + 20 t + 3 t - 146 t + 761 t 53 52 51 50 49 48 47 46 + 104 t + 3 t - 233 t + t + 850 t + 285 t + 2 t - 284 t 45 44 43 42 41 40 39 38 + t + 761 t + 537 t + 2 t - 299 t + 2 t + 537 t + 761 t 37 36 35 34 33 32 31 30 + t - 284 t + 2 t + 285 t + 850 t + t - 233 t + 3 t 29 28 26 25 24 23 21 20 + 104 t + 761 t - 146 t + 3 t + 20 t + 537 t - 61 t + 3 t 18 16 15 13 10 8 5 30 75 + 285 t - 12 t + 2 t + 104 t + 2 t + 20 t + t + 1) x + t ( 98 93 88 83 82 80 78 77 75 73 t + t + 2 t + 2 t + 9 t - t + 3 t + 44 t - t + 3 t 72 70 68 67 66 65 64 63 + 134 t - t + 3 t + 279 t + 9 t - 2 t + 6 t + 2 t 62 61 60 59 58 57 56 55 + 425 t + 44 t - t + 26 t + 2 t + 484 t + 134 t - t 54 53 52 51 49 47 46 45 + 54 t + t + 425 t + 279 t + 68 t + 279 t + 425 t + t 44 43 42 41 40 39 38 37 + 54 t - t + 134 t + 484 t + 2 t + 26 t - t + 44 t 36 35 34 33 32 31 30 28 + 425 t + 2 t + 6 t - 2 t + 9 t + 279 t + 3 t - t 26 25 23 21 20 18 16 15 10 + 134 t + 3 t - t + 44 t + 3 t - t + 9 t + 2 t + 2 t 5 31 105 16 8 46 41 38 36 33 + t + 1) x + t (t - t + 1) (t + t - 8 t + t - 28 t 31 30 28 26 25 23 21 20 18 16 15 + t + t - 56 t + t + t - 71 t + t + t - 56 t + t + t 13 10 8 5 8 2 36 105 60 59 57 - 28 t + t - 8 t + t + 1) (t + 1) x - t (t - t + t 56 55 53 52 45 44 43 42 41 40 - t + t - t + t + t - 7 t + 6 t + t - 7 t + 7 t 39 38 37 36 35 34 33 32 - 26 t + 19 t + 6 t - 25 t + 20 t - 49 t + 29 t + 20 t 31 30 29 28 27 26 25 24 - 49 t + 30 t - 49 t + 20 t + 29 t - 49 t + 20 t - 25 t 23 22 21 20 19 18 17 16 15 8 + 6 t + 19 t - 26 t + 7 t - 7 t + t + 6 t - 7 t + t + t 7 5 4 3 2 8 16 8 37 - t + t - t + t - t + 1) (t + t + 1) (t + 1) (t - t + 1) x 140 16 8 2 8 3 42 - t (t - t + 1) (t + 1) x 140 16 8 2 16 8 2 43 + t (t + 1) (t + 1) (t - t + 1) x ) and in Maple format (1-t^5*(t^6+t^5+t^4+t^3+t^2+t+1)*(t^8+1)*(t^24-t^23+t^19-t^18+t^17-t^16+t^14-t^ 13+t^12-t^11+t^10-t^8+t^7-t^6+t^5-t+1)*x^6+t^15*(t^66+t^61-12*t^58+2*t^56-61*t^ 53+2*t^51+t^50-154*t^48+3*t^46+t^45-261*t^43+3*t^41+2*t^40-340*t^38+3*t^36+2*t^ 35-368*t^33+2*t^31+3*t^30-340*t^28+2*t^26+3*t^25-261*t^23+t^21+3*t^20-154*t^18+ t^16+2*t^15-61*t^13+2*t^10-12*t^8+t^5+1)*x^12-t^30*(t^76+t^71+33*t^68+2*t^66+ 178*t^63+3*t^61+t^60+512*t^58+4*t^56+t^55+1035*t^53+4*t^51+2*t^50+1631*t^48+5*t ^46+3*t^45+2107*t^43+4*t^41+4*t^40+2288*t^38+4*t^36+4*t^35+2107*t^33+3*t^31+5*t ^30+1631*t^28+2*t^26+4*t^25+1035*t^23+t^21+4*t^20+512*t^18+t^16+3*t^15+178*t^13 +2*t^10+33*t^8+t^5+1)*(t^8+1)*x^18+t^50*(t^92+t^87-35*t^84+2*t^82-190*t^79+3*t^ 77-2*t^76-561*t^74+4*t^72-32*t^71-1171*t^69-35*t^68+4*t^67-153*t^66-1894*t^64-\ 190*t^63+5*t^62-430*t^61+t^60-2489*t^59-561*t^58+4*t^57-829*t^56+t^55-2720*t^54 -1171*t^53+4*t^52-1200*t^51+2*t^50-2489*t^49-1894*t^48+3*t^47-1353*t^46+3*t^45-\ 1894*t^44-2489*t^43+2*t^42-1200*t^41+4*t^40-1171*t^39-2720*t^38+t^37-829*t^36+4 *t^35-561*t^34-2489*t^33+t^32-430*t^31+5*t^30-190*t^29-1894*t^28-153*t^26+4*t^ 25-35*t^24-1171*t^23-32*t^21+4*t^20-561*t^18-2*t^16+3*t^15-190*t^13+2*t^10-35*t ^8+t^5+1)*x^24-t^75*(t^8+1)*(t^82+t^77+20*t^74+2*t^72+104*t^69+2*t^67-12*t^66+ 285*t^64+3*t^62-61*t^61+537*t^59+20*t^58+3*t^57-146*t^56+761*t^54+104*t^53+3*t^ 52-233*t^51+t^50+850*t^49+285*t^48+2*t^47-284*t^46+t^45+761*t^44+537*t^43+2*t^ 42-299*t^41+2*t^40+537*t^39+761*t^38+t^37-284*t^36+2*t^35+285*t^34+850*t^33+t^ 32-233*t^31+3*t^30+104*t^29+761*t^28-146*t^26+3*t^25+20*t^24+537*t^23-61*t^21+3 *t^20+285*t^18-12*t^16+2*t^15+104*t^13+2*t^10+20*t^8+t^5+1)*x^30+t^105*(t^16-t^ 8+1)*(t^46+t^41-8*t^38+t^36-28*t^33+t^31+t^30-56*t^28+t^26+t^25-71*t^23+t^21+t^ 20-56*t^18+t^16+t^15-28*t^13+t^10-8*t^8+t^5+1)*(t^8+1)^2*x^36-t^140*(t^16-t^8+1 )^2*(t^8+1)^3*x^42)/(1+(-t^8-1)*x-t^5*(t^6+t^5+t^4+t^3+t^2+t+1)*(t^8+1)*(t^24-t ^23+t^19-t^18+t^17-t^16+t^14-t^13+t^12-t^11+t^10-t^8+t^7-t^6+t^5-t+1)*x^6+t^5*( t^46+t^41-6*t^38+t^36-26*t^33+t^31+t^30-54*t^28+t^26+t^25-68*t^23+t^21+t^20-54* t^18+t^16+t^15-26*t^13+t^10-6*t^8+t^5+1)*x^7+t^15*(t^66+t^61-12*t^58+2*t^56-61* t^53+2*t^51+t^50-154*t^48+3*t^46+t^45-261*t^43+3*t^41+2*t^40-340*t^38+3*t^36+2* t^35-368*t^33+2*t^31+3*t^30-340*t^28+2*t^26+3*t^25-261*t^23+t^21+3*t^20-154*t^ 18+t^16+2*t^15-61*t^13+2*t^10-12*t^8+t^5+1)*x^12-t^15*(t^66+t^61+8*t^58+2*t^56+ 43*t^53+2*t^51+t^50+132*t^48+3*t^46+t^45+277*t^43+3*t^41+2*t^40+422*t^38+3*t^36 +2*t^35+484*t^33+2*t^31+3*t^30+422*t^28+2*t^26+3*t^25+277*t^23+t^21+3*t^20+132* t^18+t^16+2*t^15+43*t^13+2*t^10+8*t^8+t^5+1)*(t^8+1)*x^13-t^30*(t^76+t^71+33*t^ 68+2*t^66+178*t^63+3*t^61+t^60+512*t^58+4*t^56+t^55+1035*t^53+4*t^51+2*t^50+ 1631*t^48+5*t^46+3*t^45+2107*t^43+4*t^41+4*t^40+2288*t^38+4*t^36+4*t^35+2107*t^ 33+3*t^31+5*t^30+1631*t^28+2*t^26+4*t^25+1035*t^23+t^21+4*t^20+512*t^18+t^16+3* t^15+178*t^13+2*t^10+33*t^8+t^5+1)*(t^8+1)*x^18+t^30*(t^92+t^87-t^84+2*t^82-10* t^79+3*t^77-46*t^74+4*t^72-2*t^71-137*t^69-t^68+4*t^67-2*t^66-283*t^64-10*t^63+ 5*t^62-4*t^61+t^60-429*t^59-46*t^58+4*t^57-4*t^56+t^55-492*t^54-137*t^53+4*t^52 -6*t^51+2*t^50-429*t^49-283*t^48+3*t^47-6*t^46+3*t^45-283*t^44-429*t^43+2*t^42-\ 6*t^41+4*t^40-137*t^39-492*t^38+t^37-4*t^36+4*t^35-46*t^34-429*t^33+t^32-4*t^31 +5*t^30-10*t^29-283*t^28-2*t^26+4*t^25-t^24-137*t^23-2*t^21+4*t^20-46*t^18+3*t^ 15-10*t^13+2*t^10-t^8+t^5+1)*x^19+t^50*(t^92+t^87-35*t^84+2*t^82-190*t^79+3*t^ 77-2*t^76-561*t^74+4*t^72-32*t^71-1171*t^69-35*t^68+4*t^67-153*t^66-1894*t^64-\ 190*t^63+5*t^62-430*t^61+t^60-2489*t^59-561*t^58+4*t^57-829*t^56+t^55-2720*t^54 -1171*t^53+4*t^52-1200*t^51+2*t^50-2489*t^49-1894*t^48+3*t^47-1353*t^46+3*t^45-\ 1894*t^44-2489*t^43+2*t^42-1200*t^41+4*t^40-1171*t^39-2720*t^38+t^37-829*t^36+4 *t^35-561*t^34-2489*t^33+t^32-430*t^31+5*t^30-190*t^29-1894*t^28-153*t^26+4*t^ 25-35*t^24-1171*t^23-32*t^21+4*t^20-561*t^18-2*t^16+3*t^15-190*t^13+2*t^10-35*t ^8+t^5+1)*x^24-t^50*(t^8+1)*(t^92+t^87-t^84+2*t^82-2*t^79+3*t^77-3*t^74+4*t^72-\ 8*t^71+t^69-t^68+4*t^67-43*t^66+20*t^64-2*t^63+5*t^62-140*t^61+t^60+47*t^59-3*t ^58+4*t^57-305*t^56+t^55+60*t^54+t^53+4*t^52-478*t^51+2*t^50+47*t^49+20*t^48+3* t^47-553*t^46+3*t^45+20*t^44+47*t^43+2*t^42-478*t^41+4*t^40+t^39+60*t^38+t^37-\ 305*t^36+4*t^35-3*t^34+47*t^33+t^32-140*t^31+5*t^30-2*t^29+20*t^28-43*t^26+4*t^ 25-t^24+t^23-8*t^21+4*t^20-3*t^18+3*t^15-2*t^13+2*t^10-t^8+t^5+1)*x^25-t^75*(t^ 8+1)*(t^82+t^77+20*t^74+2*t^72+104*t^69+2*t^67-12*t^66+285*t^64+3*t^62-61*t^61+ 537*t^59+20*t^58+3*t^57-146*t^56+761*t^54+104*t^53+3*t^52-233*t^51+t^50+850*t^ 49+285*t^48+2*t^47-284*t^46+t^45+761*t^44+537*t^43+2*t^42-299*t^41+2*t^40+537*t ^39+761*t^38+t^37-284*t^36+2*t^35+285*t^34+850*t^33+t^32-233*t^31+3*t^30+104*t^ 29+761*t^28-146*t^26+3*t^25+20*t^24+537*t^23-61*t^21+3*t^20+285*t^18-12*t^16+2* t^15+104*t^13+2*t^10+20*t^8+t^5+1)*x^30+t^75*(t^98+t^93+2*t^88+2*t^83+9*t^82-t^ 80+3*t^78+44*t^77-t^75+3*t^73+134*t^72-t^70+3*t^68+279*t^67+9*t^66-2*t^65+6*t^ 64+2*t^63+425*t^62+44*t^61-t^60+26*t^59+2*t^58+484*t^57+134*t^56-t^55+54*t^54+t ^53+425*t^52+279*t^51+68*t^49+279*t^47+425*t^46+t^45+54*t^44-t^43+134*t^42+484* t^41+2*t^40+26*t^39-t^38+44*t^37+425*t^36+2*t^35+6*t^34-2*t^33+9*t^32+279*t^31+ 3*t^30-t^28+134*t^26+3*t^25-t^23+44*t^21+3*t^20-t^18+9*t^16+2*t^15+2*t^10+t^5+1 )*x^31+t^105*(t^16-t^8+1)*(t^46+t^41-8*t^38+t^36-28*t^33+t^31+t^30-56*t^28+t^26 +t^25-71*t^23+t^21+t^20-56*t^18+t^16+t^15-28*t^13+t^10-8*t^8+t^5+1)*(t^8+1)^2*x ^36-t^105*(t^60-t^59+t^57-t^56+t^55-t^53+t^52+t^45-7*t^44+6*t^43+t^42-7*t^41+7* t^40-26*t^39+19*t^38+6*t^37-25*t^36+20*t^35-49*t^34+29*t^33+20*t^32-49*t^31+30* t^30-49*t^29+20*t^28+29*t^27-49*t^26+20*t^25-25*t^24+6*t^23+19*t^22-26*t^21+7*t ^20-7*t^19+t^18+6*t^17-7*t^16+t^15+t^8-t^7+t^5-t^4+t^3-t+1)*(t^2+t+1)*(t^8+1)*( t^16-t^8+1)*x^37-t^140*(t^16-t^8+1)^2*(t^8+1)^3*x^42+t^140*(t^16+1)*(t^8+1)^2*( t^16-t^8+1)^2*x^43) J[9, 2](t, x), equals 2 2 6 3 4 2 2 3 (-1 + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t + 1) x - t 2 28 26 25 24 23 22 20 19 18 (t + t + 1) (t + t + t + t + t + 2 t + t - 13 t - 68 t 17 16 15 14 13 12 11 - 159 t - 244 t - 301 t - 320 t - 301 t - 244 t - 159 t 10 9 8 6 5 4 3 2 4 6 2 - 68 t - 13 t + t + 2 t + t + t + t + t + 1) x + t (t - t + 1) 6 3 32 30 29 28 27 26 25 24 (t - t + 1) (t + 2 t + t + 3 t + 2 t + 4 t + 2 t + 4 t 23 22 21 20 19 18 17 + 51 t + 262 t + 770 t + 1639 t + 2764 t + 3907 t + 4754 t 16 15 14 13 12 11 10 + 5071 t + 4754 t + 3907 t + 2764 t + 1639 t + 770 t + 262 t 9 8 7 6 5 4 3 2 2 6 + 51 t + 4 t + 2 t + 4 t + 2 t + 3 t + t + 2 t + 1) (t + 1) x - 10 52 51 50 49 48 47 46 45 44 t (t + t + 2 t + 3 t + 5 t + 5 t + 7 t + 7 t + 8 t 43 42 41 40 39 38 - 64 t - 442 t - 1550 t - 3837 t - 7492 t - 12146 t 37 36 35 34 33 32 - 16857 t - 20384 t - 21696 t - 20313 t - 16408 t - 10646 t 31 30 29 28 27 26 - 3965 t + 2633 t + 8271 t + 12409 t + 14854 t + 15657 t 25 24 23 22 21 20 + 14854 t + 12409 t + 8271 t + 2633 t - 3965 t - 10646 t 19 18 17 16 15 14 - 16408 t - 20313 t - 21696 t - 20384 t - 16857 t - 12146 t 13 12 11 10 9 8 7 6 - 7492 t - 3837 t - 1550 t - 442 t - 64 t + 8 t + 7 t + 7 t 5 4 3 2 8 15 2 6 3 + 5 t + 5 t + 3 t + 2 t + t + 1) x + t (t - t + 1) (t - t + 1) ( 50 48 47 46 45 44 43 42 41 t + 2 t + t + 3 t + 2 t + 4 t + 2 t + 4 t + 56 t 40 39 38 37 36 35 34 + 297 t + 901 t + 2009 t + 3540 t + 5185 t + 6459 t + 6942 t 33 32 31 30 29 28 + 6459 t + 5081 t + 2987 t + 338 t - 2744 t - 5995 t 27 26 25 24 23 22 - 8982 t - 11102 t - 11875 t - 11102 t - 8982 t - 5995 t 21 20 19 18 17 16 - 2744 t + 338 t + 2987 t + 5081 t + 6459 t + 6942 t 15 14 13 12 11 10 9 + 6459 t + 5185 t + 3540 t + 2009 t + 901 t + 297 t + 56 t 8 7 6 5 4 3 2 2 10 21 + 4 t + 2 t + 4 t + 2 t + 3 t + t + 2 t + 1) (t + 1) x - t ( 48 47 46 45 44 43 42 41 40 39 t + t + 2 t + 2 t + 3 t + 3 t + 4 t + 3 t + 3 t - 25 t 38 37 36 35 34 33 32 - 157 t - 500 t - 1088 t - 1803 t - 2397 t - 2626 t - 2397 t 31 30 29 28 27 26 25 - 1803 t - 1129 t - 737 t - 920 t - 1733 t - 2902 t - 3929 t 24 23 22 21 20 19 18 - 4330 t - 3929 t - 2902 t - 1733 t - 920 t - 737 t - 1129 t 17 16 15 14 13 12 - 1803 t - 2397 t - 2626 t - 2397 t - 1803 t - 1088 t 11 10 9 8 7 6 5 4 3 - 500 t - 157 t - 25 t + 3 t + 3 t + 4 t + 3 t + 3 t + 2 t 2 2 2 2 12 28 2 + 2 t + t + 1) (t - 1) (t + t + 1) %1 x + t (t - t + 1) 6 3 18 9 24 22 20 18 15 14 (t - t + 1) (t + t + 1) (t + t + t + t + 7 t + 27 t 13 12 11 10 9 6 4 2 2 + 55 t + 69 t + 55 t + 27 t + 7 t + t + t + t + 1) (t - 1) 2 2 2 14 (t + t + 1) %1 (t + 1) x 36 18 9 2 4 2 4 6 3 4 16 / - t (t + t + 1) (t - 1) (t + t + 1) (t + t + 1) x ) / (-1 / 2 6 3 + (t + 1) (t - t + 1) (t - t + 1) x 2 2 6 3 4 2 2 + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t + 1) x - t (t + 1) ( 24 22 20 18 15 14 13 12 11 10 t + t + t + t - 7 t - 27 t - 55 t - 69 t - 55 t - 27 t 9 6 4 2 3 3 2 28 26 25 24 - 7 t + t + t + t + 1) x - t (t + t + 1) (t + t + t + t 23 22 20 19 18 17 16 15 + t + 2 t + t - 13 t - 68 t - 159 t - 244 t - 301 t 14 13 12 11 10 9 8 6 5 - 320 t - 301 t - 244 t - 159 t - 68 t - 13 t + t + 2 t + t 4 3 2 4 3 2 2 + t + t + t + 1) x + t (t + 1) (t + t + 1) (t - t + 1) 6 3 28 26 25 24 23 22 20 19 18 (t - t + 1) (t + t + t + t + t + 2 t + t + 14 t + 64 t 17 16 15 14 13 12 11 + 183 t + 371 t + 545 t + 616 t + 545 t + 371 t + 183 t 10 9 8 6 5 4 3 2 5 6 2 + 64 t + 14 t + t + 2 t + t + t + t + t + 1) x + t (t - t + 1) 6 3 32 30 29 28 27 26 25 24 (t - t + 1) (t + 2 t + t + 3 t + 2 t + 4 t + 2 t + 4 t 23 22 21 20 19 18 17 + 51 t + 262 t + 770 t + 1639 t + 2764 t + 3907 t + 4754 t 16 15 14 13 12 11 10 + 5071 t + 4754 t + 3907 t + 2764 t + 1639 t + 770 t + 262 t 9 8 7 6 5 4 3 2 2 6 + 51 t + 4 t + 2 t + 4 t + 2 t + 3 t + t + 2 t + 1) (t + 1) x - 6 2 18 9 30 28 27 26 25 24 t (t + 1) (t + 1) (t - t + 1) (t + t + t + 2 t + t + 2 t 23 22 21 20 19 18 17 16 + t + 2 t - 4 t - 34 t - 126 t - 334 t - 656 t - 970 t 15 14 13 12 11 10 9 8 - 1103 t - 970 t - 656 t - 334 t - 126 t - 34 t - 4 t + 2 t 7 6 5 4 3 2 7 10 52 51 50 49 + t + 2 t + t + 2 t + t + t + 1) x - t (t + t + 2 t + 3 t 48 47 46 45 44 43 42 41 + 5 t + 5 t + 7 t + 7 t + 8 t - 64 t - 442 t - 1550 t 40 39 38 37 36 35 - 3837 t - 7492 t - 12146 t - 16857 t - 20384 t - 21696 t 34 33 32 31 30 29 - 20313 t - 16408 t - 10646 t - 3965 t + 2633 t + 8271 t 28 27 26 25 24 23 + 12409 t + 14854 t + 15657 t + 14854 t + 12409 t + 8271 t 22 21 20 19 18 17 + 2633 t - 3965 t - 10646 t - 16408 t - 20313 t - 21696 t 16 15 14 13 12 11 - 20384 t - 16857 t - 12146 t - 7492 t - 3837 t - 1550 t 10 9 8 7 6 5 4 3 2 - 442 t - 64 t + 8 t + 7 t + 7 t + 5 t + 5 t + 3 t + 2 t + t + 1 8 10 2 6 3 52 51 50 49 ) x + t (t + 1) (t - t + 1) (t - t + 1) (t + t + 2 t + 3 t 48 47 46 45 44 43 42 41 40 + 5 t + 5 t + 7 t + 7 t + 8 t + 5 t + 5 t + 16 t + 78 t 39 38 37 36 35 34 33 + 257 t + 613 t + 1092 t + 1525 t + 1698 t + 1527 t + 1094 t 32 31 30 29 28 27 26 + 574 t + 28 t - 700 t - 1833 t - 3290 t - 4589 t - 5109 t 25 24 23 22 21 20 19 - 4589 t - 3290 t - 1833 t - 700 t + 28 t + 574 t + 1094 t 18 17 16 15 14 13 12 + 1527 t + 1698 t + 1525 t + 1092 t + 613 t + 257 t + 78 t 11 10 9 8 7 6 5 4 3 2 + 16 t + 5 t + 5 t + 8 t + 7 t + 7 t + 5 t + 5 t + 3 t + 2 t 9 15 2 6 3 50 48 47 46 + t + 1) x + t (t - t + 1) (t - t + 1) (t + 2 t + t + 3 t 45 44 43 42 41 40 39 38 + 2 t + 4 t + 2 t + 4 t + 56 t + 297 t + 901 t + 2009 t 37 36 35 34 33 32 + 3540 t + 5185 t + 6459 t + 6942 t + 6459 t + 5081 t 31 30 29 28 27 26 + 2987 t + 338 t - 2744 t - 5995 t - 8982 t - 11102 t 25 24 23 22 21 20 - 11875 t - 11102 t - 8982 t - 5995 t - 2744 t + 338 t 19 18 17 16 15 14 + 2987 t + 5081 t + 6459 t + 6942 t + 6459 t + 5185 t 13 12 11 10 9 8 7 6 + 3540 t + 2009 t + 901 t + 297 t + 56 t + 4 t + 2 t + 4 t 5 4 3 2 2 10 15 68 66 + 2 t + 3 t + t + 2 t + 1) (t + 1) x - t (t + 1) (t + 2 t 65 64 63 62 61 60 59 58 57 56 + t + 3 t + 2 t + 4 t + 2 t + 4 t + t + 3 t - t + t 55 54 53 52 51 50 49 48 - 9 t - 28 t - 58 t - 71 t - 58 t - 23 t + 26 t + 132 t 47 46 45 44 43 42 41 + 369 t + 794 t + 1333 t + 1820 t + 2011 t + 1820 t + 1329 t 40 39 38 37 36 35 34 + 759 t + 240 t - 237 t - 744 t - 1272 t - 1708 t - 1871 t 33 32 31 30 29 28 27 - 1708 t - 1272 t - 744 t - 237 t + 240 t + 759 t + 1329 t 26 25 24 23 22 21 20 + 1820 t + 2011 t + 1820 t + 1333 t + 794 t + 369 t + 132 t 19 18 17 16 15 14 13 12 11 + 26 t - 23 t - 58 t - 71 t - 58 t - 28 t - 9 t + t - t 10 9 8 7 6 5 4 3 2 11 21 + 3 t + t + 4 t + 2 t + 4 t + 2 t + 3 t + t + 2 t + 1) x - t 48 47 46 45 44 43 42 41 40 39 (t + t + 2 t + 2 t + 3 t + 3 t + 4 t + 3 t + 3 t - 25 t 38 37 36 35 34 33 32 - 157 t - 500 t - 1088 t - 1803 t - 2397 t - 2626 t - 2397 t 31 30 29 28 27 26 25 - 1803 t - 1129 t - 737 t - 920 t - 1733 t - 2902 t - 3929 t 24 23 22 21 20 19 18 - 4330 t - 3929 t - 2902 t - 1733 t - 920 t - 737 t - 1129 t 17 16 15 14 13 12 - 1803 t - 2397 t - 2626 t - 2397 t - 1803 t - 1088 t 11 10 9 8 7 6 5 4 3 - 500 t - 157 t - 25 t + 3 t + 3 t + 4 t + 3 t + 3 t + 2 t 2 2 2 2 12 21 2 + 2 t + t + 1) (t - 1) (t + t + 1) %1 x + t (t + 1) (t - t + 1) 6 3 48 47 46 45 44 43 42 41 (t - t + 1) (t + t + 2 t + 2 t + 3 t + 3 t + 4 t + 3 t 40 39 38 37 36 33 30 29 28 + 3 t + 2 t + 2 t + t + t + 2 t - 13 t - 77 t - 260 t 27 26 25 24 23 22 21 - 617 t - 1099 t - 1532 t - 1702 t - 1532 t - 1099 t - 617 t 20 19 18 15 12 11 10 9 8 - 260 t - 77 t - 13 t + 2 t + t + t + 2 t + 2 t + 3 t 7 6 5 4 3 2 2 2 2 + 3 t + 4 t + 3 t + 3 t + 2 t + 2 t + t + 1) (t - 1) (t + t + 1) 13 28 2 6 3 18 9 24 22 20 %1 x + t (t - t + 1) (t - t + 1) (t + t + 1) (t + t + t 18 15 14 13 12 11 10 9 6 + t + 7 t + 27 t + 55 t + 69 t + 55 t + 27 t + 7 t + t 4 2 2 2 2 2 14 28 + t + t + 1) (t - 1) (t + t + 1) %1 (t + 1) x - t (t + 1) 18 9 42 40 38 36 24 23 22 21 (t + t + 1) (t + t + t + t + 7 t + 27 t + 55 t + 69 t 20 19 18 6 4 2 2 2 2 + 55 t + 27 t + 7 t + t + t + t + 1) (t - 1) (t + t + 1) %1 15 36 18 9 2 4 2 4 6 3 4 16 36 x - t (t + t + 1) (t - 1) (t + t + 1) (t + t + 1) x + t 2 6 3 18 9 2 4 2 4 (t + 1) (t - t + 1) (t - t + 1) (t + t + 1) (t - 1) (t + t + 1) 6 3 4 17 (t + t + 1) x ) 6 3 2 %1 := (t + t + 1) and in Maple format (-1+t*(t^2+1)*(t^2-t+1)*(t^6-t^3+1)*(t^4+1)*(t+1)^2*x^2-t^3*(t^2+t+1)*(t^28+t^ 26+t^25+t^24+t^23+2*t^22+t^20-13*t^19-68*t^18-159*t^17-244*t^16-301*t^15-320*t^ 14-301*t^13-244*t^12-159*t^11-68*t^10-13*t^9+t^8+2*t^6+t^5+t^4+t^3+t^2+1)*x^4+t ^6*(t^2-t+1)*(t^6-t^3+1)*(t^32+2*t^30+t^29+3*t^28+2*t^27+4*t^26+2*t^25+4*t^24+ 51*t^23+262*t^22+770*t^21+1639*t^20+2764*t^19+3907*t^18+4754*t^17+5071*t^16+ 4754*t^15+3907*t^14+2764*t^13+1639*t^12+770*t^11+262*t^10+51*t^9+4*t^8+2*t^7+4* t^6+2*t^5+3*t^4+t^3+2*t^2+1)*(t+1)^2*x^6-t^10*(t^52+t^51+2*t^50+3*t^49+5*t^48+5 *t^47+7*t^46+7*t^45+8*t^44-64*t^43-442*t^42-1550*t^41-3837*t^40-7492*t^39-12146 *t^38-16857*t^37-20384*t^36-21696*t^35-20313*t^34-16408*t^33-10646*t^32-3965*t^ 31+2633*t^30+8271*t^29+12409*t^28+14854*t^27+15657*t^26+14854*t^25+12409*t^24+ 8271*t^23+2633*t^22-3965*t^21-10646*t^20-16408*t^19-20313*t^18-21696*t^17-20384 *t^16-16857*t^15-12146*t^14-7492*t^13-3837*t^12-1550*t^11-442*t^10-64*t^9+8*t^8 +7*t^7+7*t^6+5*t^5+5*t^4+3*t^3+2*t^2+t+1)*x^8+t^15*(t^2-t+1)*(t^6-t^3+1)*(t^50+ 2*t^48+t^47+3*t^46+2*t^45+4*t^44+2*t^43+4*t^42+56*t^41+297*t^40+901*t^39+2009*t ^38+3540*t^37+5185*t^36+6459*t^35+6942*t^34+6459*t^33+5081*t^32+2987*t^31+338*t ^30-2744*t^29-5995*t^28-8982*t^27-11102*t^26-11875*t^25-11102*t^24-8982*t^23-\ 5995*t^22-2744*t^21+338*t^20+2987*t^19+5081*t^18+6459*t^17+6942*t^16+6459*t^15+ 5185*t^14+3540*t^13+2009*t^12+901*t^11+297*t^10+56*t^9+4*t^8+2*t^7+4*t^6+2*t^5+ 3*t^4+t^3+2*t^2+1)*(t+1)^2*x^10-t^21*(t^48+t^47+2*t^46+2*t^45+3*t^44+3*t^43+4*t ^42+3*t^41+3*t^40-25*t^39-157*t^38-500*t^37-1088*t^36-1803*t^35-2397*t^34-2626* t^33-2397*t^32-1803*t^31-1129*t^30-737*t^29-920*t^28-1733*t^27-2902*t^26-3929*t ^25-4330*t^24-3929*t^23-2902*t^22-1733*t^21-920*t^20-737*t^19-1129*t^18-1803*t^ 17-2397*t^16-2626*t^15-2397*t^14-1803*t^13-1088*t^12-500*t^11-157*t^10-25*t^9+3 *t^8+3*t^7+4*t^6+3*t^5+3*t^4+2*t^3+2*t^2+t+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2 *x^12+t^28*(t^2-t+1)*(t^6-t^3+1)*(t^18+t^9+1)*(t^24+t^22+t^20+t^18+7*t^15+27*t^ 14+55*t^13+69*t^12+55*t^11+27*t^10+7*t^9+t^6+t^4+t^2+1)*(t-1)^2*(t^2+t+1)^2*(t^ 6+t^3+1)^2*(t+1)^2*x^14-t^36*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^4*x ^16)/(-1+(t+1)*(t^2-t+1)*(t^6-t^3+1)*x+t*(t^2+1)*(t^2-t+1)*(t^6-t^3+1)*(t^4+1)* (t+1)^2*x^2-t*(t+1)*(t^24+t^22+t^20+t^18-7*t^15-27*t^14-55*t^13-69*t^12-55*t^11 -27*t^10-7*t^9+t^6+t^4+t^2+1)*x^3-t^3*(t^2+t+1)*(t^28+t^26+t^25+t^24+t^23+2*t^ 22+t^20-13*t^19-68*t^18-159*t^17-244*t^16-301*t^15-320*t^14-301*t^13-244*t^12-\ 159*t^11-68*t^10-13*t^9+t^8+2*t^6+t^5+t^4+t^3+t^2+1)*x^4+t^3*(t+1)*(t^2+t+1)*(t ^2-t+1)*(t^6-t^3+1)*(t^28+t^26+t^25+t^24+t^23+2*t^22+t^20+14*t^19+64*t^18+183*t ^17+371*t^16+545*t^15+616*t^14+545*t^13+371*t^12+183*t^11+64*t^10+14*t^9+t^8+2* t^6+t^5+t^4+t^3+t^2+1)*x^5+t^6*(t^2-t+1)*(t^6-t^3+1)*(t^32+2*t^30+t^29+3*t^28+2 *t^27+4*t^26+2*t^25+4*t^24+51*t^23+262*t^22+770*t^21+1639*t^20+2764*t^19+3907*t ^18+4754*t^17+5071*t^16+4754*t^15+3907*t^14+2764*t^13+1639*t^12+770*t^11+262*t^ 10+51*t^9+4*t^8+2*t^7+4*t^6+2*t^5+3*t^4+t^3+2*t^2+1)*(t+1)^2*x^6-t^6*(t+1)*(t^2 +1)*(t^18-t^9+1)*(t^30+t^28+t^27+2*t^26+t^25+2*t^24+t^23+2*t^22-4*t^21-34*t^20-\ 126*t^19-334*t^18-656*t^17-970*t^16-1103*t^15-970*t^14-656*t^13-334*t^12-126*t^ 11-34*t^10-4*t^9+2*t^8+t^7+2*t^6+t^5+2*t^4+t^3+t^2+1)*x^7-t^10*(t^52+t^51+2*t^ 50+3*t^49+5*t^48+5*t^47+7*t^46+7*t^45+8*t^44-64*t^43-442*t^42-1550*t^41-3837*t^ 40-7492*t^39-12146*t^38-16857*t^37-20384*t^36-21696*t^35-20313*t^34-16408*t^33-\ 10646*t^32-3965*t^31+2633*t^30+8271*t^29+12409*t^28+14854*t^27+15657*t^26+14854 *t^25+12409*t^24+8271*t^23+2633*t^22-3965*t^21-10646*t^20-16408*t^19-20313*t^18 -21696*t^17-20384*t^16-16857*t^15-12146*t^14-7492*t^13-3837*t^12-1550*t^11-442* t^10-64*t^9+8*t^8+7*t^7+7*t^6+5*t^5+5*t^4+3*t^3+2*t^2+t+1)*x^8+t^10*(t+1)*(t^2- t+1)*(t^6-t^3+1)*(t^52+t^51+2*t^50+3*t^49+5*t^48+5*t^47+7*t^46+7*t^45+8*t^44+5* t^43+5*t^42+16*t^41+78*t^40+257*t^39+613*t^38+1092*t^37+1525*t^36+1698*t^35+ 1527*t^34+1094*t^33+574*t^32+28*t^31-700*t^30-1833*t^29-3290*t^28-4589*t^27-\ 5109*t^26-4589*t^25-3290*t^24-1833*t^23-700*t^22+28*t^21+574*t^20+1094*t^19+ 1527*t^18+1698*t^17+1525*t^16+1092*t^15+613*t^14+257*t^13+78*t^12+16*t^11+5*t^ 10+5*t^9+8*t^8+7*t^7+7*t^6+5*t^5+5*t^4+3*t^3+2*t^2+t+1)*x^9+t^15*(t^2-t+1)*(t^6 -t^3+1)*(t^50+2*t^48+t^47+3*t^46+2*t^45+4*t^44+2*t^43+4*t^42+56*t^41+297*t^40+ 901*t^39+2009*t^38+3540*t^37+5185*t^36+6459*t^35+6942*t^34+6459*t^33+5081*t^32+ 2987*t^31+338*t^30-2744*t^29-5995*t^28-8982*t^27-11102*t^26-11875*t^25-11102*t^ 24-8982*t^23-5995*t^22-2744*t^21+338*t^20+2987*t^19+5081*t^18+6459*t^17+6942*t^ 16+6459*t^15+5185*t^14+3540*t^13+2009*t^12+901*t^11+297*t^10+56*t^9+4*t^8+2*t^7 +4*t^6+2*t^5+3*t^4+t^3+2*t^2+1)*(t+1)^2*x^10-t^15*(t+1)*(t^68+2*t^66+t^65+3*t^ 64+2*t^63+4*t^62+2*t^61+4*t^60+t^59+3*t^58-t^57+t^56-9*t^55-28*t^54-58*t^53-71* t^52-58*t^51-23*t^50+26*t^49+132*t^48+369*t^47+794*t^46+1333*t^45+1820*t^44+ 2011*t^43+1820*t^42+1329*t^41+759*t^40+240*t^39-237*t^38-744*t^37-1272*t^36-\ 1708*t^35-1871*t^34-1708*t^33-1272*t^32-744*t^31-237*t^30+240*t^29+759*t^28+ 1329*t^27+1820*t^26+2011*t^25+1820*t^24+1333*t^23+794*t^22+369*t^21+132*t^20+26 *t^19-23*t^18-58*t^17-71*t^16-58*t^15-28*t^14-9*t^13+t^12-t^11+3*t^10+t^9+4*t^8 +2*t^7+4*t^6+2*t^5+3*t^4+t^3+2*t^2+1)*x^11-t^21*(t^48+t^47+2*t^46+2*t^45+3*t^44 +3*t^43+4*t^42+3*t^41+3*t^40-25*t^39-157*t^38-500*t^37-1088*t^36-1803*t^35-2397 *t^34-2626*t^33-2397*t^32-1803*t^31-1129*t^30-737*t^29-920*t^28-1733*t^27-2902* t^26-3929*t^25-4330*t^24-3929*t^23-2902*t^22-1733*t^21-920*t^20-737*t^19-1129*t ^18-1803*t^17-2397*t^16-2626*t^15-2397*t^14-1803*t^13-1088*t^12-500*t^11-157*t^ 10-25*t^9+3*t^8+3*t^7+4*t^6+3*t^5+3*t^4+2*t^3+2*t^2+t+1)*(t-1)^2*(t^2+t+1)^2*(t ^6+t^3+1)^2*x^12+t^21*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^48+t^47+2*t^46+2*t^45+3*t^ 44+3*t^43+4*t^42+3*t^41+3*t^40+2*t^39+2*t^38+t^37+t^36+2*t^33-13*t^30-77*t^29-\ 260*t^28-617*t^27-1099*t^26-1532*t^25-1702*t^24-1532*t^23-1099*t^22-617*t^21-\ 260*t^20-77*t^19-13*t^18+2*t^15+t^12+t^11+2*t^10+2*t^9+3*t^8+3*t^7+4*t^6+3*t^5+ 3*t^4+2*t^3+2*t^2+t+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^13+t^28*(t^2-t+1)*(t ^6-t^3+1)*(t^18+t^9+1)*(t^24+t^22+t^20+t^18+7*t^15+27*t^14+55*t^13+69*t^12+55*t ^11+27*t^10+7*t^9+t^6+t^4+t^2+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*(t+1)^2*x^14 -t^28*(t+1)*(t^18+t^9+1)*(t^42+t^40+t^38+t^36+7*t^24+27*t^23+55*t^22+69*t^21+55 *t^20+27*t^19+7*t^18+t^6+t^4+t^2+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^15-t^36 *(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^4*x^16+t^36*(t+1)*(t^2-t+1)*(t^ 6-t^3+1)*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^4*x^17) J[9, 3](t, x), equals 2 2 2 6 3 4 8 3 6 (-1 + t (t + 1) (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t + 1) x - t 40 39 38 36 35 34 33 32 31 30 (t - t + t + t - t + 2 t - t + 2 t - 15 t + 16 t 29 28 27 26 25 24 23 - 83 t + 71 t - 229 t + 161 t - 404 t + 246 t - 546 t 22 21 20 19 18 17 16 + 303 t - 622 t + 322 t - 622 t + 303 t - 546 t + 246 t 15 14 13 12 11 10 9 8 - 404 t + 161 t - 229 t + 71 t - 83 t + 16 t - 15 t + 2 t 7 6 5 4 2 2 6 12 2 - t + 2 t - t + t + t - t + 1) (t + t + 1) x + t (t + 1) (t + 1) 2 6 3 46 42 40 38 37 36 (t - t + 1) (t - t + 1) (t + 2 t + t + 3 t + 49 t + 2 t 35 34 33 32 31 30 29 28 + 259 t + 4 t + 769 t + 2 t + 1637 t + 4 t + 2764 t + 3 t 27 26 25 24 23 22 21 + 3906 t + 3 t + 4754 t + 3 t + 5071 t + 3 t + 4754 t 20 19 18 17 16 15 14 13 + 3 t + 3906 t + 3 t + 2764 t + 4 t + 1637 t + 2 t + 769 t 12 11 10 9 8 6 4 9 20 68 + 4 t + 259 t + 2 t + 49 t + 3 t + t + 2 t + 1) x - t (t 66 64 62 60 59 58 57 56 + t + 2 t + 3 t + 5 t - 71 t + 5 t - 449 t + 7 t 55 54 53 52 51 50 49 - 1555 t + 7 t - 3842 t + 8 t - 7495 t + 79 t - 12148 t 48 47 46 45 44 43 + 457 t - 16858 t + 1507 t - 20385 t + 3535 t - 21696 t 42 41 40 39 38 37 + 6478 t - 20456 t + 9828 t - 17307 t + 12859 t - 13703 t 36 35 34 33 32 31 + 14926 t - 11337 t + 15657 t - 11337 t + 14926 t - 13703 t 30 29 28 27 26 25 + 12859 t - 17307 t + 9828 t - 20456 t + 6478 t - 21696 t 24 23 22 21 20 19 + 3535 t - 20385 t + 1507 t - 16858 t + 457 t - 12148 t 18 17 16 15 14 13 12 + 79 t - 7495 t + 8 t - 3842 t + 7 t - 1555 t + 7 t 11 10 9 8 6 4 2 12 30 - 449 t + 5 t - 71 t + 5 t + 3 t + 2 t + t + 1) x + t (t + 1) 2 2 6 3 64 60 58 56 55 (t + 1) (t - t + 1) (t - t + 1) (t + 2 t + t + 3 t + 54 t 54 53 52 51 50 49 48 47 + 2 t + 294 t + 4 t + 900 t + 2 t + 2007 t + 4 t + 3540 t 46 45 44 43 42 41 40 - 101 t + 5184 t - 550 t + 6459 t - 1668 t + 6942 t - 3642 t 39 38 37 36 35 34 + 6459 t - 6289 t + 5238 t - 9035 t + 3834 t - 11102 t 33 32 31 30 29 28 + 2907 t - 11875 t + 2907 t - 11102 t + 3834 t - 9035 t 27 26 25 24 23 22 + 5238 t - 6289 t + 6459 t - 3642 t + 6942 t - 1668 t 21 20 19 18 17 16 15 + 6459 t - 550 t + 5184 t - 101 t + 3540 t + 4 t + 2007 t 14 13 12 11 10 9 8 6 4 + 2 t + 900 t + 4 t + 294 t + 2 t + 54 t + 3 t + t + 2 t + 1 15 42 60 58 56 54 52 51 50 49 ) x - t (t + t + 2 t + 2 t + 3 t - 27 t + 3 t - 159 t 48 47 46 45 44 43 42 + 4 t - 501 t + 3 t - 1089 t + 3 t - 1803 t - 38 t 41 40 39 38 37 36 35 - 2397 t - 234 t - 2626 t - 760 t - 2397 t - 1705 t - 1803 t 34 33 32 31 30 29 28 - 2902 t - 1116 t - 3929 t - 660 t - 4330 t - 660 t - 3929 t 27 26 25 24 23 22 - 1116 t - 2902 t - 1803 t - 1705 t - 2397 t - 760 t 21 20 19 18 17 16 15 - 2626 t - 234 t - 2397 t - 38 t - 1803 t + 3 t - 1089 t 14 13 12 11 10 9 8 6 4 + 3 t - 501 t + 4 t - 159 t + 3 t - 27 t + 3 t + 2 t + 2 t 2 2 2 2 18 56 2 + t + 1) (t - 1) (t + t + 1) %1 x + t (t + 1) (t + 1) 2 6 3 18 9 30 26 22 21 19 (t - t + 1) (t - t + 1) (t + t + 1) (t + t + t + 7 t + 27 t 18 17 15 13 12 11 9 8 4 + t + 55 t + 69 t + 55 t + t + 27 t + 7 t + t + t + 1) 2 2 2 21 (t - 1) (t + t + 1) %1 x 72 18 9 2 4 2 4 6 3 4 24 / - t (t + t + 1) (t - 1) (t + t + 1) (t + t + 1) x ) / (-1 / 2 6 3 + (t + 1) (t - t + 1) (t - t + 1) x 2 2 2 6 3 4 8 3 2 + t (t + 1) (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t + 1) x - t 2 30 26 22 21 19 18 17 15 13 (t + 1) (t + t + t - 7 t - 27 t + t - 55 t - 69 t - 55 t 12 11 9 8 4 4 6 40 39 38 36 35 + t - 27 t - 7 t + t + t + 1) x - t (t - t + t + t - t 34 33 32 31 30 29 28 27 + 2 t - t + 2 t - 15 t + 16 t - 83 t + 71 t - 229 t 26 25 24 23 22 21 20 + 161 t - 404 t + 246 t - 546 t + 303 t - 622 t + 322 t 19 18 17 16 15 14 13 - 622 t + 303 t - 546 t + 246 t - 404 t + 161 t - 229 t 12 11 10 9 8 7 6 5 4 2 + 71 t - 83 t + 16 t - 15 t + 2 t - t + 2 t - t + t + t - t 2 6 6 2 2 6 3 + 1) (t + t + 1) x + t (t + 1) (t + t + 1) (t - t + 1) (t - t + 1) 40 39 38 36 35 34 33 32 31 30 (t - t + t + t - t + 2 t - t + 2 t + 12 t - 11 t 29 28 27 26 25 24 23 + 76 t - 61 t + 245 t - 181 t + 553 t - 369 t + 915 t 22 21 20 19 18 17 16 - 543 t + 1160 t - 614 t + 1160 t - 543 t + 915 t - 369 t 15 14 13 12 11 10 9 8 + 553 t - 181 t + 245 t - 61 t + 76 t - 11 t + 12 t + 2 t 7 6 5 4 2 7 12 2 2 - t + 2 t - t + t + t - t + 1) x + t (t + 1) (t + 1) (t - t + 1) 6 3 46 42 40 38 37 36 35 34 (t - t + 1) (t + 2 t + t + 3 t + 49 t + 2 t + 259 t + 4 t 33 32 31 30 29 28 27 26 + 769 t + 2 t + 1637 t + 4 t + 2764 t + 3 t + 3906 t + 3 t 25 24 23 22 21 20 19 + 4754 t + 3 t + 5071 t + 3 t + 4754 t + 3 t + 3906 t 18 17 16 15 14 13 12 11 + 3 t + 2764 t + 4 t + 1637 t + 2 t + 769 t + 4 t + 259 t 10 9 8 6 4 9 12 2 + 2 t + 49 t + 3 t + t + 2 t + 1) x - t (t - t + 1) 18 9 40 39 37 35 34 33 32 31 30 (t - t + 1) (t + t - t + t + 2 t + t + t - 5 t - 5 t 29 28 27 26 25 24 23 - 35 t - 28 t - 119 t - 90 t - 306 t - 214 t - 564 t 22 21 20 19 18 17 16 - 348 t - 754 t - 405 t - 754 t - 348 t - 564 t - 214 t 15 14 13 12 11 10 9 8 7 - 306 t - 90 t - 119 t - 28 t - 35 t - 5 t - 5 t + t + t 6 5 3 2 4 10 20 68 66 64 + 2 t + t - t + t + 1) (t + 1) (t + 1) x - t (t + t + 2 t 62 60 59 58 57 56 55 54 + 3 t + 5 t - 71 t + 5 t - 449 t + 7 t - 1555 t + 7 t 53 52 51 50 49 48 47 - 3842 t + 8 t - 7495 t + 79 t - 12148 t + 457 t - 16858 t 46 45 44 43 42 41 + 1507 t - 20385 t + 3535 t - 21696 t + 6478 t - 20456 t 40 39 38 37 36 35 + 9828 t - 17307 t + 12859 t - 13703 t + 14926 t - 11337 t 34 33 32 31 30 29 + 15657 t - 11337 t + 14926 t - 13703 t + 12859 t - 17307 t 28 27 26 25 24 23 + 9828 t - 20456 t + 6478 t - 21696 t + 3535 t - 20385 t 22 21 20 19 18 17 16 + 1507 t - 16858 t + 457 t - 12148 t + 79 t - 7495 t + 8 t 15 14 13 12 11 10 9 8 - 3842 t + 7 t - 1555 t + 7 t - 449 t + 5 t - 71 t + 5 t 6 4 2 12 20 2 68 66 64 + 3 t + 2 t + t + 1) x + t (t + 1) (t - t + 1) (t + t + 2 t 62 60 59 58 57 56 55 54 53 + 3 t + 5 t - 2 t + 5 t - 2 t + 7 t + 11 t + 7 t + 73 t 52 51 50 49 48 47 46 + 8 t + 254 t + 10 t + 611 t + 10 t + 1091 t - 32 t 45 44 43 42 41 40 39 + 1524 t - 221 t + 1698 t - 770 t + 1522 t - 1842 t + 1089 t 38 37 36 35 34 33 32 - 3287 t + 622 t - 4586 t + 327 t - 5109 t + 327 t - 4586 t 31 30 29 28 27 26 25 + 622 t - 3287 t + 1089 t - 1842 t + 1522 t - 770 t + 1698 t 24 23 22 21 20 19 18 - 221 t + 1524 t - 32 t + 1091 t + 10 t + 611 t + 10 t 17 16 15 14 13 12 11 10 9 + 254 t + 8 t + 73 t + 7 t + 11 t + 7 t - 2 t + 5 t - 2 t 8 6 4 2 6 3 13 30 2 + 5 t + 3 t + 2 t + t + 1) (t - t + 1) x + t (t + 1) (t + 1) 2 6 3 64 60 58 56 55 54 (t - t + 1) (t - t + 1) (t + 2 t + t + 3 t + 54 t + 2 t 53 52 51 50 49 48 47 + 294 t + 4 t + 900 t + 2 t + 2007 t + 4 t + 3540 t 46 45 44 43 42 41 40 - 101 t + 5184 t - 550 t + 6459 t - 1668 t + 6942 t - 3642 t 39 38 37 36 35 34 + 6459 t - 6289 t + 5238 t - 9035 t + 3834 t - 11102 t 33 32 31 30 29 28 + 2907 t - 11875 t + 2907 t - 11102 t + 3834 t - 9035 t 27 26 25 24 23 22 + 5238 t - 6289 t + 6459 t - 3642 t + 6942 t - 1668 t 21 20 19 18 17 16 15 + 6459 t - 550 t + 5184 t - 101 t + 3540 t + 4 t + 2007 t 14 13 12 11 10 9 8 6 4 + 2 t + 900 t + 4 t + 294 t + 2 t + 54 t + 3 t + t + 2 t + 1 15 30 2 82 78 76 74 73 72 70 ) x - t (t + 1) (t + 2 t + t + 3 t - t + 2 t + 4 t 69 68 67 66 65 64 63 62 61 - 2 t + 2 t - t + 4 t - 9 t + 8 t - 29 t + 38 t - 58 t 60 59 58 57 56 55 54 + 134 t - 71 t + 373 t - 58 t + 794 t - 34 t + 1335 t 53 52 51 50 49 48 47 - 44 t + 1820 t - 132 t + 2011 t - 372 t + 1820 t - 779 t 46 45 44 43 42 41 40 + 1340 t - 1279 t + 829 t - 1708 t + 504 t - 1871 t + 504 t 39 38 37 36 35 34 33 - 1708 t + 829 t - 1279 t + 1340 t - 779 t + 1820 t - 372 t 32 31 30 29 28 27 26 + 2011 t - 132 t + 1820 t - 44 t + 1335 t - 34 t + 794 t 25 24 23 22 21 20 19 18 - 58 t + 373 t - 71 t + 134 t - 58 t + 38 t - 29 t + 8 t 17 16 15 14 13 12 10 9 8 6 - 9 t + 4 t - t + 2 t - 2 t + 4 t + 2 t - t + 3 t + t 4 16 42 60 58 56 54 52 51 50 + 2 t + 1) x - t (t + t + 2 t + 2 t + 3 t - 27 t + 3 t 49 48 47 46 45 44 43 42 - 159 t + 4 t - 501 t + 3 t - 1089 t + 3 t - 1803 t - 38 t 41 40 39 38 37 36 35 - 2397 t - 234 t - 2626 t - 760 t - 2397 t - 1705 t - 1803 t 34 33 32 31 30 29 28 - 2902 t - 1116 t - 3929 t - 660 t - 4330 t - 660 t - 3929 t 27 26 25 24 23 22 - 1116 t - 2902 t - 1803 t - 1705 t - 2397 t - 760 t 21 20 19 18 17 16 15 - 2626 t - 234 t - 2397 t - 38 t - 1803 t + 3 t - 1089 t 14 13 12 11 10 9 8 6 4 + 3 t - 501 t + 4 t - 159 t + 3 t - 27 t + 3 t + 2 t + 2 t 2 2 2 2 18 42 2 + t + 1) (t - 1) (t + t + 1) %1 x + t (t + 1) (t - t + 1) 6 3 60 58 56 54 52 50 48 46 (t - t + 1) (t + t + 2 t + 2 t + 3 t + 3 t + 4 t + 3 t 44 42 40 39 38 36 34 + 3 t - 11 t - 75 t + 2 t - 259 t - 616 t - 1099 t 32 30 28 26 24 22 21 - 1532 t - 1702 t - 1532 t - 1099 t - 616 t - 259 t + 2 t 20 18 16 14 12 10 8 6 4 - 75 t - 11 t + 3 t + 3 t + 4 t + 3 t + 3 t + 2 t + 2 t 2 2 2 2 19 56 2 + t + 1) (t - 1) (t + t + 1) %1 x + t (t + 1) (t + 1) 2 6 3 18 9 30 26 22 21 19 (t - t + 1) (t - t + 1) (t + t + 1) (t + t + t + 7 t + 27 t 18 17 15 13 12 11 9 8 4 + t + 55 t + 69 t + 55 t + t + 27 t + 7 t + t + t + 1) 2 2 2 21 56 2 18 9 48 44 (t - 1) (t + t + 1) %1 x - t (t + 1) (t + t + 1) (t + t 40 36 30 28 26 24 22 20 18 + t + t + 7 t + 27 t + 55 t + 69 t + 55 t + 27 t + 7 t 12 8 4 2 2 2 22 + t + t + t + 1) (t - 1) (t + t + 1) %1 x 72 18 9 2 4 2 4 6 3 4 24 72 - t (t + t + 1) (t - 1) (t + t + 1) (t + t + 1) x + t 2 6 3 18 9 2 4 2 4 (t + 1) (t - t + 1) (t - t + 1) (t + t + 1) (t - 1) (t + t + 1) 6 3 4 25 (t + t + 1) x ) 6 3 2 %1 := (t + t + 1) and in Maple format (-1+t^2*(t+1)*(t^2+1)*(t^2-t+1)*(t^6-t^3+1)*(t^4+1)*(t^8+1)*x^3-t^6*(t^40-t^39+ t^38+t^36-t^35+2*t^34-t^33+2*t^32-15*t^31+16*t^30-83*t^29+71*t^28-229*t^27+161* t^26-404*t^25+246*t^24-546*t^23+303*t^22-622*t^21+322*t^20-622*t^19+303*t^18-\ 546*t^17+246*t^16-404*t^15+161*t^14-229*t^13+71*t^12-83*t^11+16*t^10-15*t^9+2*t ^8-t^7+2*t^6-t^5+t^4+t^2-t+1)*(t^2+t+1)*x^6+t^12*(t+1)*(t^2+1)*(t^2-t+1)*(t^6-t ^3+1)*(t^46+2*t^42+t^40+3*t^38+49*t^37+2*t^36+259*t^35+4*t^34+769*t^33+2*t^32+ 1637*t^31+4*t^30+2764*t^29+3*t^28+3906*t^27+3*t^26+4754*t^25+3*t^24+5071*t^23+3 *t^22+4754*t^21+3*t^20+3906*t^19+3*t^18+2764*t^17+4*t^16+1637*t^15+2*t^14+769*t ^13+4*t^12+259*t^11+2*t^10+49*t^9+3*t^8+t^6+2*t^4+1)*x^9-t^20*(t^68+t^66+2*t^64 +3*t^62+5*t^60-71*t^59+5*t^58-449*t^57+7*t^56-1555*t^55+7*t^54-3842*t^53+8*t^52 -7495*t^51+79*t^50-12148*t^49+457*t^48-16858*t^47+1507*t^46-20385*t^45+3535*t^ 44-21696*t^43+6478*t^42-20456*t^41+9828*t^40-17307*t^39+12859*t^38-13703*t^37+ 14926*t^36-11337*t^35+15657*t^34-11337*t^33+14926*t^32-13703*t^31+12859*t^30-\ 17307*t^29+9828*t^28-20456*t^27+6478*t^26-21696*t^25+3535*t^24-20385*t^23+1507* t^22-16858*t^21+457*t^20-12148*t^19+79*t^18-7495*t^17+8*t^16-3842*t^15+7*t^14-\ 1555*t^13+7*t^12-449*t^11+5*t^10-71*t^9+5*t^8+3*t^6+2*t^4+t^2+1)*x^12+t^30*(t+1 )*(t^2+1)*(t^2-t+1)*(t^6-t^3+1)*(t^64+2*t^60+t^58+3*t^56+54*t^55+2*t^54+294*t^ 53+4*t^52+900*t^51+2*t^50+2007*t^49+4*t^48+3540*t^47-101*t^46+5184*t^45-550*t^ 44+6459*t^43-1668*t^42+6942*t^41-3642*t^40+6459*t^39-6289*t^38+5238*t^37-9035*t ^36+3834*t^35-11102*t^34+2907*t^33-11875*t^32+2907*t^31-11102*t^30+3834*t^29-\ 9035*t^28+5238*t^27-6289*t^26+6459*t^25-3642*t^24+6942*t^23-1668*t^22+6459*t^21 -550*t^20+5184*t^19-101*t^18+3540*t^17+4*t^16+2007*t^15+2*t^14+900*t^13+4*t^12+ 294*t^11+2*t^10+54*t^9+3*t^8+t^6+2*t^4+1)*x^15-t^42*(t^60+t^58+2*t^56+2*t^54+3* t^52-27*t^51+3*t^50-159*t^49+4*t^48-501*t^47+3*t^46-1089*t^45+3*t^44-1803*t^43-\ 38*t^42-2397*t^41-234*t^40-2626*t^39-760*t^38-2397*t^37-1705*t^36-1803*t^35-\ 2902*t^34-1116*t^33-3929*t^32-660*t^31-4330*t^30-660*t^29-3929*t^28-1116*t^27-\ 2902*t^26-1803*t^25-1705*t^24-2397*t^23-760*t^22-2626*t^21-234*t^20-2397*t^19-\ 38*t^18-1803*t^17+3*t^16-1089*t^15+3*t^14-501*t^13+4*t^12-159*t^11+3*t^10-27*t^ 9+3*t^8+2*t^6+2*t^4+t^2+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^18+t^56*(t+1)*(t ^2+1)*(t^2-t+1)*(t^6-t^3+1)*(t^18+t^9+1)*(t^30+t^26+t^22+7*t^21+27*t^19+t^18+55 *t^17+69*t^15+55*t^13+t^12+27*t^11+7*t^9+t^8+t^4+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^ 3+1)^2*x^21-t^72*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^4*x^24)/(-1+(t+ 1)*(t^2-t+1)*(t^6-t^3+1)*x+t^2*(t+1)*(t^2+1)*(t^2-t+1)*(t^6-t^3+1)*(t^4+1)*(t^8 +1)*x^3-t^2*(t^2+1)*(t^30+t^26+t^22-7*t^21-27*t^19+t^18-55*t^17-69*t^15-55*t^13 +t^12-27*t^11-7*t^9+t^8+t^4+1)*x^4-t^6*(t^40-t^39+t^38+t^36-t^35+2*t^34-t^33+2* t^32-15*t^31+16*t^30-83*t^29+71*t^28-229*t^27+161*t^26-404*t^25+246*t^24-546*t^ 23+303*t^22-622*t^21+322*t^20-622*t^19+303*t^18-546*t^17+246*t^16-404*t^15+161* t^14-229*t^13+71*t^12-83*t^11+16*t^10-15*t^9+2*t^8-t^7+2*t^6-t^5+t^4+t^2-t+1)*( t^2+t+1)*x^6+t^6*(t+1)*(t^2+t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^40-t^39+t^38+t^36-t^ 35+2*t^34-t^33+2*t^32+12*t^31-11*t^30+76*t^29-61*t^28+245*t^27-181*t^26+553*t^ 25-369*t^24+915*t^23-543*t^22+1160*t^21-614*t^20+1160*t^19-543*t^18+915*t^17-\ 369*t^16+553*t^15-181*t^14+245*t^13-61*t^12+76*t^11-11*t^10+12*t^9+2*t^8-t^7+2* t^6-t^5+t^4+t^2-t+1)*x^7+t^12*(t+1)*(t^2+1)*(t^2-t+1)*(t^6-t^3+1)*(t^46+2*t^42+ t^40+3*t^38+49*t^37+2*t^36+259*t^35+4*t^34+769*t^33+2*t^32+1637*t^31+4*t^30+ 2764*t^29+3*t^28+3906*t^27+3*t^26+4754*t^25+3*t^24+5071*t^23+3*t^22+4754*t^21+3 *t^20+3906*t^19+3*t^18+2764*t^17+4*t^16+1637*t^15+2*t^14+769*t^13+4*t^12+259*t^ 11+2*t^10+49*t^9+3*t^8+t^6+2*t^4+1)*x^9-t^12*(t^2-t+1)*(t^18-t^9+1)*(t^40+t^39- t^37+t^35+2*t^34+t^33+t^32-5*t^31-5*t^30-35*t^29-28*t^28-119*t^27-90*t^26-306*t ^25-214*t^24-564*t^23-348*t^22-754*t^21-405*t^20-754*t^19-348*t^18-564*t^17-214 *t^16-306*t^15-90*t^14-119*t^13-28*t^12-35*t^11-5*t^10-5*t^9+t^8+t^7+2*t^6+t^5- t^3+t+1)*(t^2+1)*(t^4+1)*x^10-t^20*(t^68+t^66+2*t^64+3*t^62+5*t^60-71*t^59+5*t^ 58-449*t^57+7*t^56-1555*t^55+7*t^54-3842*t^53+8*t^52-7495*t^51+79*t^50-12148*t^ 49+457*t^48-16858*t^47+1507*t^46-20385*t^45+3535*t^44-21696*t^43+6478*t^42-\ 20456*t^41+9828*t^40-17307*t^39+12859*t^38-13703*t^37+14926*t^36-11337*t^35+ 15657*t^34-11337*t^33+14926*t^32-13703*t^31+12859*t^30-17307*t^29+9828*t^28-\ 20456*t^27+6478*t^26-21696*t^25+3535*t^24-20385*t^23+1507*t^22-16858*t^21+457*t ^20-12148*t^19+79*t^18-7495*t^17+8*t^16-3842*t^15+7*t^14-1555*t^13+7*t^12-449*t ^11+5*t^10-71*t^9+5*t^8+3*t^6+2*t^4+t^2+1)*x^12+t^20*(t+1)*(t^2-t+1)*(t^68+t^66 +2*t^64+3*t^62+5*t^60-2*t^59+5*t^58-2*t^57+7*t^56+11*t^55+7*t^54+73*t^53+8*t^52 +254*t^51+10*t^50+611*t^49+10*t^48+1091*t^47-32*t^46+1524*t^45-221*t^44+1698*t^ 43-770*t^42+1522*t^41-1842*t^40+1089*t^39-3287*t^38+622*t^37-4586*t^36+327*t^35 -5109*t^34+327*t^33-4586*t^32+622*t^31-3287*t^30+1089*t^29-1842*t^28+1522*t^27-\ 770*t^26+1698*t^25-221*t^24+1524*t^23-32*t^22+1091*t^21+10*t^20+611*t^19+10*t^ 18+254*t^17+8*t^16+73*t^15+7*t^14+11*t^13+7*t^12-2*t^11+5*t^10-2*t^9+5*t^8+3*t^ 6+2*t^4+t^2+1)*(t^6-t^3+1)*x^13+t^30*(t+1)*(t^2+1)*(t^2-t+1)*(t^6-t^3+1)*(t^64+ 2*t^60+t^58+3*t^56+54*t^55+2*t^54+294*t^53+4*t^52+900*t^51+2*t^50+2007*t^49+4*t ^48+3540*t^47-101*t^46+5184*t^45-550*t^44+6459*t^43-1668*t^42+6942*t^41-3642*t^ 40+6459*t^39-6289*t^38+5238*t^37-9035*t^36+3834*t^35-11102*t^34+2907*t^33-11875 *t^32+2907*t^31-11102*t^30+3834*t^29-9035*t^28+5238*t^27-6289*t^26+6459*t^25-\ 3642*t^24+6942*t^23-1668*t^22+6459*t^21-550*t^20+5184*t^19-101*t^18+3540*t^17+4 *t^16+2007*t^15+2*t^14+900*t^13+4*t^12+294*t^11+2*t^10+54*t^9+3*t^8+t^6+2*t^4+1 )*x^15-t^30*(t^2+1)*(t^82+2*t^78+t^76+3*t^74-t^73+2*t^72+4*t^70-2*t^69+2*t^68-t ^67+4*t^66-9*t^65+8*t^64-29*t^63+38*t^62-58*t^61+134*t^60-71*t^59+373*t^58-58*t ^57+794*t^56-34*t^55+1335*t^54-44*t^53+1820*t^52-132*t^51+2011*t^50-372*t^49+ 1820*t^48-779*t^47+1340*t^46-1279*t^45+829*t^44-1708*t^43+504*t^42-1871*t^41+ 504*t^40-1708*t^39+829*t^38-1279*t^37+1340*t^36-779*t^35+1820*t^34-372*t^33+ 2011*t^32-132*t^31+1820*t^30-44*t^29+1335*t^28-34*t^27+794*t^26-58*t^25+373*t^ 24-71*t^23+134*t^22-58*t^21+38*t^20-29*t^19+8*t^18-9*t^17+4*t^16-t^15+2*t^14-2* t^13+4*t^12+2*t^10-t^9+3*t^8+t^6+2*t^4+1)*x^16-t^42*(t^60+t^58+2*t^56+2*t^54+3* t^52-27*t^51+3*t^50-159*t^49+4*t^48-501*t^47+3*t^46-1089*t^45+3*t^44-1803*t^43-\ 38*t^42-2397*t^41-234*t^40-2626*t^39-760*t^38-2397*t^37-1705*t^36-1803*t^35-\ 2902*t^34-1116*t^33-3929*t^32-660*t^31-4330*t^30-660*t^29-3929*t^28-1116*t^27-\ 2902*t^26-1803*t^25-1705*t^24-2397*t^23-760*t^22-2626*t^21-234*t^20-2397*t^19-\ 38*t^18-1803*t^17+3*t^16-1089*t^15+3*t^14-501*t^13+4*t^12-159*t^11+3*t^10-27*t^ 9+3*t^8+2*t^6+2*t^4+t^2+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^18+t^42*(t+1)*(t ^2-t+1)*(t^6-t^3+1)*(t^60+t^58+2*t^56+2*t^54+3*t^52+3*t^50+4*t^48+3*t^46+3*t^44 -11*t^42-75*t^40+2*t^39-259*t^38-616*t^36-1099*t^34-1532*t^32-1702*t^30-1532*t^ 28-1099*t^26-616*t^24-259*t^22+2*t^21-75*t^20-11*t^18+3*t^16+3*t^14+4*t^12+3*t^ 10+3*t^8+2*t^6+2*t^4+t^2+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^19+t^56*(t+1)*( t^2+1)*(t^2-t+1)*(t^6-t^3+1)*(t^18+t^9+1)*(t^30+t^26+t^22+7*t^21+27*t^19+t^18+ 55*t^17+69*t^15+55*t^13+t^12+27*t^11+7*t^9+t^8+t^4+1)*(t-1)^2*(t^2+t+1)^2*(t^6+ t^3+1)^2*x^21-t^56*(t^2+1)*(t^18+t^9+1)*(t^48+t^44+t^40+t^36+7*t^30+27*t^28+55* t^26+69*t^24+55*t^22+27*t^20+7*t^18+t^12+t^8+t^4+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^ 3+1)^2*x^22-t^72*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^4*x^24+t^72*(t+ 1)*(t^2-t+1)*(t^6-t^3+1)*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^4*x^25) J[9, 4](t, x), equals 3 2 4 2 6 3 4 8 4 2 (-1 + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t - t + 1) (t + 1) 2 2 4 9 6 3 48 42 39 36 33 (t - t + 1) x - t (t + t + 1) (t + t - 13 t - 67 t - 158 t 30 27 24 21 18 15 12 - 242 t - 300 t - 318 t - 300 t - 242 t - 158 t - 67 t 9 6 8 18 6 3 60 54 51 48 - 13 t + t + 1) x + t (t - t + 1) (t + 2 t + 50 t + 262 t 45 42 39 36 33 30 + 771 t + 1642 t + 2766 t + 3912 t + 4757 t + 5077 t 27 24 21 18 15 12 9 + 4757 t + 3912 t + 2766 t + 1642 t + 771 t + 262 t + 50 t 6 2 2 2 12 30 84 81 78 75 + 2 t + 1) (t + 1) (t - t + 1) x - t (t + t + 2 t - 68 t 72 69 66 63 60 57 - 444 t - 1550 t - 3763 t - 7038 t - 10638 t - 13392 t 54 51 48 45 42 39 - 14352 t - 13420 t - 11363 t - 9424 t - 8635 t - 9424 t 36 33 30 27 24 21 - 11363 t - 13420 t - 14352 t - 13392 t - 10638 t - 7038 t 18 15 12 9 6 3 16 45 - 3763 t - 1550 t - 444 t - 68 t + 2 t + t + 1) x + t 6 3 78 72 69 66 63 60 (t - t + 1) (t + 2 t + 55 t + 297 t + 902 t + 1908 t 57 54 51 48 45 42 + 2989 t + 3519 t + 2871 t + 950 t - 1676 t - 3908 t 39 36 33 30 27 24 - 4795 t - 3908 t - 1676 t + 950 t + 2871 t + 3519 t 21 18 15 12 9 6 2 + 2989 t + 1908 t + 902 t + 297 t + 55 t + 2 t + 1) (t + 1) 2 2 20 63 72 69 66 63 60 57 (t - t + 1) x - t (t + t + 2 t - 25 t - 156 t - 498 t 54 51 48 45 42 39 - 1125 t - 2036 t - 3155 t - 4357 t - 5456 t - 6232 t 36 33 30 27 24 21 - 6506 t - 6232 t - 5456 t - 4357 t - 3155 t - 2036 t 18 15 12 9 6 3 2 - 1125 t - 498 t - 156 t - 25 t + 2 t + t + 1) (t - 1) 2 2 24 84 6 3 18 9 36 30 27 (t + t + 1) %1 x + t (t - t + 1) (t + t + 1) (t + t + 7 t 24 21 18 15 12 9 6 2 + 28 t + 55 t + 71 t + 55 t + 28 t + 7 t + t + 1) (t - 1) 2 2 2 2 2 28 (t + 1) (t + t + 1) (t - t + 1) %1 x 108 18 9 2 4 2 4 6 3 4 32 / - t (t + t + 1) (t - 1) (t + t + 1) (t + t + 1) x ) / (-1 / 2 6 3 3 2 4 2 + (t + 1) (t - t + 1) (t - t + 1) x + t (t + 1) (t - t + 1) 6 3 4 8 4 2 2 2 4 3 (t - t + 1) (t + 1) (t - t + 1) (t + 1) (t - t + 1) x - t (t + 1) 2 36 30 27 24 21 18 15 (t - t + 1) (t + t - 7 t - 26 t - 55 t - 67 t - 55 t 12 9 6 5 9 6 3 48 42 39 - 26 t - 7 t + t + 1) x - t (t + t + 1) (t + t - 13 t 36 33 30 27 24 21 18 - 67 t - 158 t - 242 t - 300 t - 318 t - 300 t - 242 t 15 12 9 6 8 9 2 - 158 t - 67 t - 13 t + t + 1) x + t (t + 1) (t - t + 1) 6 3 6 3 48 42 39 36 33 (t + t + 1) (t - t + 1) (t + t + 14 t + 65 t + 184 t 30 27 24 21 18 15 12 + 373 t + 546 t + 618 t + 546 t + 373 t + 184 t + 65 t 9 6 9 18 6 3 60 54 51 48 + 14 t + t + 1) x + t (t - t + 1) (t + 2 t + 50 t + 262 t 45 42 39 36 33 30 + 771 t + 1642 t + 2766 t + 3912 t + 4757 t + 5077 t 27 24 21 18 15 12 9 + 4757 t + 3912 t + 2766 t + 1642 t + 771 t + 262 t + 50 t 6 2 2 2 12 18 2 2 + 2 t + 1) (t + 1) (t - t + 1) x - t (t + 1) (t + 1) (t - t + 1) 4 2 18 9 54 48 45 42 39 (t - t + 1) (t - t + 1) (t + t - 4 t - 33 t - 125 t 36 33 30 27 24 21 18 - 332 t - 655 t - 967 t - 1101 t - 967 t - 655 t - 332 t 15 12 9 6 13 30 84 81 78 75 - 125 t - 33 t - 4 t + t + 1) x - t (t + t + 2 t - 68 t 72 69 66 63 60 57 - 444 t - 1550 t - 3763 t - 7038 t - 10638 t - 13392 t 54 51 48 45 42 39 - 14352 t - 13420 t - 11363 t - 9424 t - 8635 t - 9424 t 36 33 30 27 24 21 - 11363 t - 13420 t - 14352 t - 13392 t - 10638 t - 7038 t 18 15 12 9 6 3 16 30 - 3763 t - 1550 t - 444 t - 68 t + 2 t + t + 1) x + t (t + 1) 2 6 3 84 81 78 75 72 69 (t - t + 1) (t - t + 1) (t + t + 2 t + t + 3 t + 16 t 66 63 60 57 54 51 48 + 83 t + 264 t + 582 t + 870 t + 756 t - 130 t - 1685 t 45 42 39 36 33 30 27 - 3238 t - 3883 t - 3238 t - 1685 t - 130 t + 756 t + 870 t 24 21 18 15 12 9 6 3 17 + 582 t + 264 t + 83 t + 16 t + 3 t + t + 2 t + t + 1) x + 45 6 3 78 72 69 66 63 60 t (t - t + 1) (t + 2 t + 55 t + 297 t + 902 t + 1908 t 57 54 51 48 45 42 + 2989 t + 3519 t + 2871 t + 950 t - 1676 t - 3908 t 39 36 33 30 27 24 - 4795 t - 3908 t - 1676 t + 950 t + 2871 t + 3519 t 21 18 15 12 9 6 2 + 2989 t + 1908 t + 902 t + 297 t + 55 t + 2 t + 1) (t + 1) 2 2 20 45 2 96 90 84 78 (t - t + 1) x - t (t + 1) (t - t + 1) (t + 2 t + 3 t + 9 t 75 72 69 66 63 60 57 + 28 t + 108 t + 310 t + 691 t + 1146 t + 1429 t + 1258 t 54 51 48 45 42 39 36 + 675 t - 6 t - 283 t - 6 t + 675 t + 1258 t + 1429 t 33 30 27 24 21 18 12 6 + 1146 t + 691 t + 310 t + 108 t + 28 t + 9 t + 3 t + 2 t 21 63 72 69 66 63 60 57 54 + 1) x - t (t + t + 2 t - 25 t - 156 t - 498 t - 1125 t 51 48 45 42 39 36 - 2036 t - 3155 t - 4357 t - 5456 t - 6232 t - 6506 t 33 30 27 24 21 18 - 6232 t - 5456 t - 4357 t - 3155 t - 2036 t - 1125 t 15 12 9 6 3 2 2 2 24 - 498 t - 156 t - 25 t + 2 t + t + 1) (t - 1) (t + t + 1) %1 x 63 2 6 3 72 69 66 63 + t (t + 1) (t - t + 1) (t - t + 1) (t + t + 2 t + 2 t 60 57 54 51 48 45 42 39 + 3 t + 3 t - 9 t - 74 t - 257 t - 613 t - 1097 t - 1531 t 36 33 30 27 24 21 18 - 1700 t - 1531 t - 1097 t - 613 t - 257 t - 74 t - 9 t 15 12 9 6 3 2 2 2 25 + 3 t + 3 t + 2 t + 2 t + t + 1) (t - 1) (t + t + 1) %1 x + 84 6 3 18 9 36 30 27 24 21 t (t - t + 1) (t + t + 1) (t + t + 7 t + 28 t + 55 t 18 15 12 9 6 2 2 + 71 t + 55 t + 28 t + 7 t + t + 1) (t - 1) (t + 1) 2 2 2 2 28 84 2 (t + t + 1) (t - t + 1) %1 x - t (t + 1) (t - t + 1) 18 9 54 48 42 36 33 30 27 24 (t + t + 1) (t + t + t + 8 t + 27 t + 55 t + 69 t + 55 t 21 18 12 6 2 2 2 29 + 27 t + 8 t + t + t + 1) (t - 1) (t + t + 1) %1 x 108 18 9 2 4 2 4 6 3 4 32 108 - t (t + t + 1) (t - 1) (t + t + 1) (t + t + 1) x + t 2 6 3 18 9 2 4 2 4 (t + 1) (t - t + 1) (t - t + 1) (t + t + 1) (t - 1) (t + t + 1) 6 3 4 33 (t + t + 1) x ) 6 3 2 %1 := (t + t + 1) and in Maple format (-1+t^3*(t^2+1)*(t^4-t^2+1)*(t^6-t^3+1)*(t^4+1)*(t^8-t^4+1)*(t+1)^2*(t^2-t+1)^2 *x^4-t^9*(t^6+t^3+1)*(t^48+t^42-13*t^39-67*t^36-158*t^33-242*t^30-300*t^27-318* t^24-300*t^21-242*t^18-158*t^15-67*t^12-13*t^9+t^6+1)*x^8+t^18*(t^6-t^3+1)*(t^ 60+2*t^54+50*t^51+262*t^48+771*t^45+1642*t^42+2766*t^39+3912*t^36+4757*t^33+ 5077*t^30+4757*t^27+3912*t^24+2766*t^21+1642*t^18+771*t^15+262*t^12+50*t^9+2*t^ 6+1)*(t+1)^2*(t^2-t+1)^2*x^12-t^30*(t^84+t^81+2*t^78-68*t^75-444*t^72-1550*t^69 -3763*t^66-7038*t^63-10638*t^60-13392*t^57-14352*t^54-13420*t^51-11363*t^48-\ 9424*t^45-8635*t^42-9424*t^39-11363*t^36-13420*t^33-14352*t^30-13392*t^27-10638 *t^24-7038*t^21-3763*t^18-1550*t^15-444*t^12-68*t^9+2*t^6+t^3+1)*x^16+t^45*(t^6 -t^3+1)*(t^78+2*t^72+55*t^69+297*t^66+902*t^63+1908*t^60+2989*t^57+3519*t^54+ 2871*t^51+950*t^48-1676*t^45-3908*t^42-4795*t^39-3908*t^36-1676*t^33+950*t^30+ 2871*t^27+3519*t^24+2989*t^21+1908*t^18+902*t^15+297*t^12+55*t^9+2*t^6+1)*(t+1) ^2*(t^2-t+1)^2*x^20-t^63*(t^72+t^69+2*t^66-25*t^63-156*t^60-498*t^57-1125*t^54-\ 2036*t^51-3155*t^48-4357*t^45-5456*t^42-6232*t^39-6506*t^36-6232*t^33-5456*t^30 -4357*t^27-3155*t^24-2036*t^21-1125*t^18-498*t^15-156*t^12-25*t^9+2*t^6+t^3+1)* (t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^24+t^84*(t^6-t^3+1)*(t^18+t^9+1)*(t^36+t^30 +7*t^27+28*t^24+55*t^21+71*t^18+55*t^15+28*t^12+7*t^9+t^6+1)*(t-1)^2*(t+1)^2*(t ^2+t+1)^2*(t^2-t+1)^2*(t^6+t^3+1)^2*x^28-t^108*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1) ^4*(t^6+t^3+1)^4*x^32)/(-1+(t+1)*(t^2-t+1)*(t^6-t^3+1)*x+t^3*(t^2+1)*(t^4-t^2+1 )*(t^6-t^3+1)*(t^4+1)*(t^8-t^4+1)*(t+1)^2*(t^2-t+1)^2*x^4-t^3*(t+1)*(t^2-t+1)*( t^36+t^30-7*t^27-26*t^24-55*t^21-67*t^18-55*t^15-26*t^12-7*t^9+t^6+1)*x^5-t^9*( t^6+t^3+1)*(t^48+t^42-13*t^39-67*t^36-158*t^33-242*t^30-300*t^27-318*t^24-300*t ^21-242*t^18-158*t^15-67*t^12-13*t^9+t^6+1)*x^8+t^9*(t+1)*(t^2-t+1)*(t^6+t^3+1) *(t^6-t^3+1)*(t^48+t^42+14*t^39+65*t^36+184*t^33+373*t^30+546*t^27+618*t^24+546 *t^21+373*t^18+184*t^15+65*t^12+14*t^9+t^6+1)*x^9+t^18*(t^6-t^3+1)*(t^60+2*t^54 +50*t^51+262*t^48+771*t^45+1642*t^42+2766*t^39+3912*t^36+4757*t^33+5077*t^30+ 4757*t^27+3912*t^24+2766*t^21+1642*t^18+771*t^15+262*t^12+50*t^9+2*t^6+1)*(t+1) ^2*(t^2-t+1)^2*x^12-t^18*(t+1)*(t^2+1)*(t^2-t+1)*(t^4-t^2+1)*(t^18-t^9+1)*(t^54 +t^48-4*t^45-33*t^42-125*t^39-332*t^36-655*t^33-967*t^30-1101*t^27-967*t^24-655 *t^21-332*t^18-125*t^15-33*t^12-4*t^9+t^6+1)*x^13-t^30*(t^84+t^81+2*t^78-68*t^ 75-444*t^72-1550*t^69-3763*t^66-7038*t^63-10638*t^60-13392*t^57-14352*t^54-\ 13420*t^51-11363*t^48-9424*t^45-8635*t^42-9424*t^39-11363*t^36-13420*t^33-14352 *t^30-13392*t^27-10638*t^24-7038*t^21-3763*t^18-1550*t^15-444*t^12-68*t^9+2*t^6 +t^3+1)*x^16+t^30*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^84+t^81+2*t^78+t^75+3*t^72+16* t^69+83*t^66+264*t^63+582*t^60+870*t^57+756*t^54-130*t^51-1685*t^48-3238*t^45-\ 3883*t^42-3238*t^39-1685*t^36-130*t^33+756*t^30+870*t^27+582*t^24+264*t^21+83*t ^18+16*t^15+3*t^12+t^9+2*t^6+t^3+1)*x^17+t^45*(t^6-t^3+1)*(t^78+2*t^72+55*t^69+ 297*t^66+902*t^63+1908*t^60+2989*t^57+3519*t^54+2871*t^51+950*t^48-1676*t^45-\ 3908*t^42-4795*t^39-3908*t^36-1676*t^33+950*t^30+2871*t^27+3519*t^24+2989*t^21+ 1908*t^18+902*t^15+297*t^12+55*t^9+2*t^6+1)*(t+1)^2*(t^2-t+1)^2*x^20-t^45*(t+1) *(t^2-t+1)*(t^96+2*t^90+3*t^84+9*t^78+28*t^75+108*t^72+310*t^69+691*t^66+1146*t ^63+1429*t^60+1258*t^57+675*t^54-6*t^51-283*t^48-6*t^45+675*t^42+1258*t^39+1429 *t^36+1146*t^33+691*t^30+310*t^27+108*t^24+28*t^21+9*t^18+3*t^12+2*t^6+1)*x^21- t^63*(t^72+t^69+2*t^66-25*t^63-156*t^60-498*t^57-1125*t^54-2036*t^51-3155*t^48-\ 4357*t^45-5456*t^42-6232*t^39-6506*t^36-6232*t^33-5456*t^30-4357*t^27-3155*t^24 -2036*t^21-1125*t^18-498*t^15-156*t^12-25*t^9+2*t^6+t^3+1)*(t-1)^2*(t^2+t+1)^2* (t^6+t^3+1)^2*x^24+t^63*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^72+t^69+2*t^66+2*t^63+3* t^60+3*t^57-9*t^54-74*t^51-257*t^48-613*t^45-1097*t^42-1531*t^39-1700*t^36-1531 *t^33-1097*t^30-613*t^27-257*t^24-74*t^21-9*t^18+3*t^15+3*t^12+2*t^9+2*t^6+t^3+ 1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^25+t^84*(t^6-t^3+1)*(t^18+t^9+1)*(t^36+t ^30+7*t^27+28*t^24+55*t^21+71*t^18+55*t^15+28*t^12+7*t^9+t^6+1)*(t-1)^2*(t+1)^2 *(t^2+t+1)^2*(t^2-t+1)^2*(t^6+t^3+1)^2*x^28-t^84*(t+1)*(t^2-t+1)*(t^18+t^9+1)*( t^54+t^48+t^42+8*t^36+27*t^33+55*t^30+69*t^27+55*t^24+27*t^21+8*t^18+t^12+t^6+1 )*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^29-t^108*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1) ^4*(t^6+t^3+1)^4*x^32+t^108*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^18+t^9+1)^2*(t-1)^4* (t^2+t+1)^4*(t^6+t^3+1)^4*x^33) J[9, 5](t, x), equals 4 2 6 3 4 8 16 5 (-1 + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t + 1) (t + 1) x - 12 2 64 63 61 59 58 56 55 54 53 t (t + t + 1) (t - t + t - t + t + t - 15 t + 14 t + t 52 51 50 49 48 47 46 45 - 13 t - 70 t + 83 t - 13 t - 67 t - 161 t + 229 t - 68 t 44 43 42 41 40 39 38 - 158 t - 246 t + 405 t - 159 t - 242 t - 303 t + 547 t 37 36 35 34 33 32 31 - 244 t - 300 t - 321 t + 623 t - 302 t - 318 t - 302 t 30 29 28 27 26 25 24 + 623 t - 321 t - 300 t - 244 t + 547 t - 303 t - 242 t 23 22 21 20 19 18 17 - 159 t + 405 t - 246 t - 158 t - 68 t + 229 t - 161 t 16 15 14 13 12 11 10 9 8 - 67 t - 13 t + 83 t - 70 t - 13 t + t + 14 t - 15 t + t 6 5 3 10 24 2 6 3 + t - t + t - t + 1) x + t (t + 1) (t - t + 1) (t - t + 1) 4 74 66 65 62 61 58 57 56 (t + 1) (t + 2 t + 49 t + t + 259 t + 3 t + 769 t + t 54 53 50 49 48 46 45 44 + 2 t + 1637 t + 4 t + 2764 t + 2 t + 2 t + 3906 t + t 42 41 40 38 37 36 34 33 + 4 t + 4754 t + 3 t + 2 t + 5071 t + 2 t + 3 t + 4754 t 32 30 29 28 26 25 24 21 + 4 t + t + 3906 t + 2 t + 2 t + 2764 t + 4 t + 1637 t 20 18 17 16 13 12 9 8 15 + 2 t + t + 769 t + 3 t + 259 t + t + 49 t + 2 t + 1) x - 40 100 96 92 91 88 87 84 83 t (t + t + 2 t - 71 t + 3 t - 449 t + 5 t - 1555 t 82 80 79 78 76 75 74 + 72 t + 5 t - 3842 t + 450 t + 7 t - 7495 t + 1502 t 73 72 71 70 69 68 67 - 71 t + 7 t - 12148 t + 3530 t - 449 t + 8 t - 16858 t 66 65 64 63 62 61 60 + 6475 t - 1555 t + 8 t - 20385 t + 9826 t - 3842 t + 8 t 59 58 57 56 55 54 - 21696 t + 12858 t - 7495 t + 7 t - 20385 t + 14925 t 53 52 51 50 49 48 - 12148 t + 8 t - 16858 t + 15657 t - 16858 t + 8 t 47 46 45 44 43 42 - 12148 t + 14925 t - 20385 t + 7 t - 7495 t + 12858 t 41 40 39 38 37 36 35 - 21696 t + 8 t - 3842 t + 9826 t - 20385 t + 8 t - 1555 t 34 33 32 31 30 29 28 + 6475 t - 16858 t + 8 t - 449 t + 3530 t - 12148 t + 7 t 27 26 25 24 22 21 20 - 71 t + 1502 t - 7495 t + 7 t + 450 t - 3842 t + 5 t 18 17 16 13 12 9 8 4 20 + 72 t - 1555 t + 5 t - 449 t + 3 t - 71 t + 2 t + t + 1) x 60 2 6 3 92 84 83 80 + t (t + 1) (t - t + 1) (t - t + 1) (t + 2 t + 54 t + t 79 76 75 74 72 71 70 68 + 294 t + 3 t + 900 t - 103 t + 2 t + 2007 t - 553 t + 4 t 67 66 65 64 63 62 61 + 3540 t - 1669 t + 54 t + 2 t + 5184 t - 3644 t + 294 t 60 59 58 57 56 55 54 + 4 t + 6459 t - 6289 t + 900 t + 3 t + 6942 t - 9036 t 53 52 51 50 49 48 47 + 2007 t + 3 t + 6459 t - 11102 t + 3540 t + 3 t + 5184 t 46 45 44 43 42 41 40 - 11875 t + 5184 t + 3 t + 3540 t - 11102 t + 6459 t + 3 t 39 38 37 36 35 34 33 + 2007 t - 9036 t + 6942 t + 3 t + 900 t - 6289 t + 6459 t 32 31 30 29 28 27 26 + 4 t + 294 t - 3644 t + 5184 t + 2 t + 54 t - 1669 t 25 24 22 21 20 18 17 + 3540 t + 4 t - 553 t + 2007 t + 2 t - 103 t + 900 t 16 13 12 9 8 4 25 84 84 80 + 3 t + 294 t + t + 54 t + 2 t + 1) (t + 1) x - t (t + t 76 75 72 71 68 67 66 64 + 2 t - 27 t + 2 t - 159 t + 3 t - 501 t - 40 t + 3 t 63 62 60 59 58 57 56 - 1089 t - 236 t + 4 t - 1803 t - 761 t - 27 t + 3 t 55 54 53 52 51 50 49 - 2397 t - 1706 t - 159 t + 3 t - 2626 t - 2902 t - 501 t 48 47 46 45 44 43 42 + 3 t - 2397 t - 3929 t - 1089 t + 3 t - 1803 t - 4330 t 41 40 39 38 37 36 35 - 1803 t + 3 t - 1089 t - 3929 t - 2397 t + 3 t - 501 t 34 33 32 31 30 29 28 - 2902 t - 2626 t + 3 t - 159 t - 1706 t - 2397 t + 3 t 27 26 25 24 22 21 20 - 27 t - 761 t - 1803 t + 4 t - 236 t - 1089 t + 3 t 18 17 16 13 12 9 8 4 - 40 t - 501 t + 3 t - 159 t + 2 t - 27 t + 2 t + t + 1) 2 2 2 30 112 2 6 3 (t - 1) (t + t + 1) %1 x + t (t + 1) (t - t + 1) (t - t + 1) 18 9 4 42 34 33 29 26 25 24 (t + t + 1) (t + 1) (t + t + 7 t + 27 t + t + 55 t + t 21 18 17 16 13 9 8 2 + 69 t + t + 55 t + t + 27 t + 7 t + t + 1) (t - 1) 2 2 35 (t + t + 1) %1 x 144 18 9 2 4 2 4 6 3 4 40 / - t (t + t + 1) (t - 1) (t + t + 1) (t + t + 1) x ) / (-1 / 2 6 3 + (t + 1) (t - t + 1) (t - t + 1) x 4 2 6 3 4 8 16 5 + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t + 1) (t + 1) x - 4 4 42 34 33 29 26 25 24 21 18 t (t + 1) (t + t - 7 t - 27 t + t - 55 t + t - 69 t + t 17 16 13 9 8 6 12 2 64 63 - 55 t + t - 27 t - 7 t + t + 1) x - t (t + t + 1) (t - t 61 59 58 56 55 54 53 52 51 50 + t - t + t + t - 15 t + 14 t + t - 13 t - 70 t + 83 t 49 48 47 46 45 44 43 - 13 t - 67 t - 161 t + 229 t - 68 t - 158 t - 246 t 42 41 40 39 38 37 36 + 405 t - 159 t - 242 t - 303 t + 547 t - 244 t - 300 t 35 34 33 32 31 30 29 - 321 t + 623 t - 302 t - 318 t - 302 t + 623 t - 321 t 28 27 26 25 24 23 22 - 300 t - 244 t + 547 t - 303 t - 242 t - 159 t + 405 t 21 20 19 18 17 16 15 - 246 t - 158 t - 68 t + 229 t - 161 t - 67 t - 13 t 14 13 12 11 10 9 8 6 5 3 + 83 t - 70 t - 13 t + t + 14 t - 15 t + t + t - t + t - t 10 12 2 2 6 3 64 63 + 1) x + t (t + 1) (t + t + 1) (t - t + 1) (t - t + 1) (t - t 61 59 58 56 55 54 53 52 51 50 + t - t + t + t + 12 t - 13 t + t + 14 t + 62 t - 76 t 49 48 47 46 45 44 43 + 14 t + 65 t + 181 t - 245 t + 64 t + 184 t + 369 t 42 41 40 39 38 37 36 - 552 t + 183 t + 373 t + 543 t - 914 t + 371 t + 546 t 35 34 33 32 31 30 29 + 615 t - 1159 t + 544 t + 618 t + 544 t - 1159 t + 615 t 28 27 26 25 24 23 22 + 546 t + 371 t - 914 t + 543 t + 373 t + 183 t - 552 t 21 20 19 18 17 16 15 + 369 t + 184 t + 64 t - 245 t + 181 t + 65 t + 14 t 14 13 12 11 10 9 8 6 5 3 - 76 t + 62 t + 14 t + t - 13 t + 12 t + t + t - t + t - t 11 24 2 6 3 4 74 66 + 1) x + t (t + 1) (t - t + 1) (t - t + 1) (t + 1) (t + 2 t 65 62 61 58 57 56 54 53 + 49 t + t + 259 t + 3 t + 769 t + t + 2 t + 1637 t 50 49 48 46 45 44 42 41 + 4 t + 2764 t + 2 t + 2 t + 3906 t + t + 4 t + 4754 t 40 38 37 36 34 33 32 30 + 3 t + 2 t + 5071 t + 2 t + 3 t + 4754 t + 4 t + t 29 28 26 25 24 21 20 18 + 3906 t + 2 t + 2 t + 2764 t + 4 t + 1637 t + 2 t + t 17 16 13 12 9 8 15 24 + 769 t + 3 t + 259 t + t + 49 t + 2 t + 1) x - t 2 18 9 4 8 64 63 61 60 58 (t - t + 1) (t - t + 1) (t + 1) (t + 1) (t + t - t - t + t 57 56 55 54 53 52 51 50 49 + t + t - 5 t - 6 t - t + 6 t - 28 t - 34 t - 6 t 48 47 46 45 44 43 42 41 + 30 t - 90 t - 119 t - 29 t + 91 t - 215 t - 306 t - 91 t 40 39 38 37 36 35 34 + 217 t - 348 t - 564 t - 216 t + 349 t - 405 t - 753 t 33 32 31 30 29 28 27 - 348 t + 407 t - 348 t - 753 t - 405 t + 349 t - 216 t 26 25 24 23 22 21 20 - 564 t - 348 t + 217 t - 91 t - 306 t - 215 t + 91 t 19 18 17 16 15 14 13 12 - 29 t - 119 t - 90 t + 30 t - 6 t - 34 t - 28 t + 6 t 11 10 9 8 7 6 4 3 16 40 100 - t - 6 t - 5 t + t + t + t - t - t + t + 1) x - t (t 96 92 91 88 87 84 83 82 + t + 2 t - 71 t + 3 t - 449 t + 5 t - 1555 t + 72 t 80 79 78 76 75 74 73 + 5 t - 3842 t + 450 t + 7 t - 7495 t + 1502 t - 71 t 72 71 70 69 68 67 66 + 7 t - 12148 t + 3530 t - 449 t + 8 t - 16858 t + 6475 t 65 64 63 62 61 60 59 - 1555 t + 8 t - 20385 t + 9826 t - 3842 t + 8 t - 21696 t 58 57 56 55 54 53 52 + 12858 t - 7495 t + 7 t - 20385 t + 14925 t - 12148 t + 8 t 51 50 49 48 47 46 - 16858 t + 15657 t - 16858 t + 8 t - 12148 t + 14925 t 45 44 43 42 41 40 39 - 20385 t + 7 t - 7495 t + 12858 t - 21696 t + 8 t - 3842 t 38 37 36 35 34 33 32 + 9826 t - 20385 t + 8 t - 1555 t + 6475 t - 16858 t + 8 t 31 30 29 28 27 26 25 - 449 t + 3530 t - 12148 t + 7 t - 71 t + 1502 t - 7495 t 24 22 21 20 18 17 16 13 + 7 t + 450 t - 3842 t + 5 t + 72 t - 1555 t + 5 t - 449 t 12 9 8 4 20 40 100 96 92 + 3 t - 71 t + 2 t + t + 1) x + t (t + 1) (t + t + 2 t 91 88 87 84 83 82 80 79 78 - 2 t + 3 t - 2 t + 5 t + 11 t + 3 t + 5 t + 73 t + 3 t 76 75 74 73 72 71 70 69 + 7 t + 254 t - 37 t - 2 t + 7 t + 611 t - 226 t - 2 t 68 67 66 65 64 63 62 + 8 t + 1091 t - 773 t + 11 t + 8 t + 1524 t - 1844 t 61 60 59 58 57 56 55 + 73 t + 8 t + 1698 t - 3288 t + 254 t + 7 t + 1524 t 54 53 52 51 50 49 48 - 4587 t + 611 t + 8 t + 1091 t - 5109 t + 1091 t + 8 t 47 46 45 44 43 42 41 + 611 t - 4587 t + 1524 t + 7 t + 254 t - 3288 t + 1698 t 40 39 38 37 36 35 34 + 8 t + 73 t - 1844 t + 1524 t + 8 t + 11 t - 773 t 33 32 31 30 29 28 27 26 + 1091 t + 8 t - 2 t - 226 t + 611 t + 7 t - 2 t - 37 t 25 24 22 21 20 18 17 16 + 254 t + 7 t + 3 t + 73 t + 5 t + 3 t + 11 t + 5 t 13 12 9 8 4 2 6 3 21 - 2 t + 3 t - 2 t + 2 t + t + 1) (t - t + 1) (t - t + 1) x + 60 2 6 3 92 84 83 80 t (t + 1) (t - t + 1) (t - t + 1) (t + 2 t + 54 t + t 79 76 75 74 72 71 70 68 + 294 t + 3 t + 900 t - 103 t + 2 t + 2007 t - 553 t + 4 t 67 66 65 64 63 62 61 + 3540 t - 1669 t + 54 t + 2 t + 5184 t - 3644 t + 294 t 60 59 58 57 56 55 54 + 4 t + 6459 t - 6289 t + 900 t + 3 t + 6942 t - 9036 t 53 52 51 50 49 48 47 + 2007 t + 3 t + 6459 t - 11102 t + 3540 t + 3 t + 5184 t 46 45 44 43 42 41 40 - 11875 t + 5184 t + 3 t + 3540 t - 11102 t + 6459 t + 3 t 39 38 37 36 35 34 33 + 2007 t - 9036 t + 6942 t + 3 t + 900 t - 6289 t + 6459 t 32 31 30 29 28 27 26 + 4 t + 294 t - 3644 t + 5184 t + 2 t + 54 t - 1669 t 25 24 22 21 20 18 17 + 3540 t + 4 t - 553 t + 2007 t + 2 t - 103 t + 900 t 16 13 12 9 8 4 25 60 4 + 3 t + 294 t + t + 54 t + 2 t + 1) (t + 1) x - t (t + 1) ( 110 102 101 98 94 93 92 90 89 88 t + 2 t - t + t + 3 t - 2 t + 6 t + 2 t - t + 35 t 86 85 84 83 82 81 80 79 + 4 t - 9 t + 133 t - 5 t + 2 t - 29 t + 371 t - 35 t 78 77 76 75 74 73 72 71 + 4 t - 58 t + 794 t - 131 t + 8 t - 71 t + 1334 t - 370 t 70 69 68 67 66 65 64 + 38 t - 58 t + 1820 t - 779 t + 134 t - 30 t + 2011 t 63 62 61 60 59 58 57 - 1278 t + 373 t - 9 t + 1820 t - 1708 t + 794 t - 3 t 56 55 54 53 52 51 50 + 1335 t - 1871 t + 1335 t - 3 t + 794 t - 1708 t + 1820 t 49 48 47 46 45 44 43 - 9 t + 373 t - 1278 t + 2011 t - 30 t + 134 t - 779 t 42 41 40 39 38 37 36 + 1820 t - 58 t + 38 t - 370 t + 1334 t - 71 t + 8 t 35 34 33 32 31 30 29 28 - 131 t + 794 t - 58 t + 4 t - 35 t + 371 t - 29 t + 2 t 27 26 25 24 22 21 20 18 17 - 5 t + 133 t - 9 t + 4 t + 35 t - t + 2 t + 6 t - 2 t 16 12 9 8 26 84 84 80 76 75 + 3 t + t - t + 2 t + 1) x - t (t + t + 2 t - 27 t 72 71 68 67 66 64 63 62 + 2 t - 159 t + 3 t - 501 t - 40 t + 3 t - 1089 t - 236 t 60 59 58 57 56 55 54 + 4 t - 1803 t - 761 t - 27 t + 3 t - 2397 t - 1706 t 53 52 51 50 49 48 47 - 159 t + 3 t - 2626 t - 2902 t - 501 t + 3 t - 2397 t 46 45 44 43 42 41 40 - 3929 t - 1089 t + 3 t - 1803 t - 4330 t - 1803 t + 3 t 39 38 37 36 35 34 33 - 1089 t - 3929 t - 2397 t + 3 t - 501 t - 2902 t - 2626 t 32 31 30 29 28 27 26 + 3 t - 159 t - 1706 t - 2397 t + 3 t - 27 t - 761 t 25 24 22 21 20 18 17 16 - 1803 t + 4 t - 236 t - 1089 t + 3 t - 40 t - 501 t + 3 t 13 12 9 8 4 2 2 2 30 - 159 t + 2 t - 27 t + 2 t + t + 1) (t - 1) (t + t + 1) %1 x 84 2 6 3 84 80 76 72 + t (t + 1) (t - t + 1) (t - t + 1) (t + t + 2 t + 2 t 68 66 64 62 60 58 56 54 + 3 t - 13 t + 3 t - 77 t + 4 t - 260 t + 3 t - 617 t 52 51 50 48 46 44 42 40 + 3 t + 2 t - 1099 t + 3 t - 1532 t + 3 t - 1702 t + 3 t 38 36 34 33 32 30 28 26 - 1532 t + 3 t - 1099 t + 2 t + 3 t - 617 t + 3 t - 260 t 24 22 20 18 16 12 8 4 + 4 t - 77 t + 3 t - 13 t + 3 t + 2 t + 2 t + t + 1) 2 2 2 31 112 2 6 3 (t - 1) (t + t + 1) %1 x + t (t + 1) (t - t + 1) (t - t + 1) 18 9 4 42 34 33 29 26 25 24 (t + t + 1) (t + 1) (t + t + 7 t + 27 t + t + 55 t + t 21 18 17 16 13 9 8 2 + 69 t + t + 55 t + t + 27 t + 7 t + t + 1) (t - 1) 2 2 35 112 4 18 9 60 52 44 (t + t + 1) %1 x - t (t + 1) (t + t + 1) (t + t + t 42 38 36 34 30 26 24 22 18 + 7 t + 27 t + t + 55 t + 69 t + 55 t + t + 27 t + 7 t 16 8 2 2 2 36 + t + t + 1) (t - 1) (t + t + 1) %1 x 144 18 9 2 4 2 4 6 3 4 40 144 - t (t + t + 1) (t - 1) (t + t + 1) (t + t + 1) x + t 2 6 3 18 9 2 4 2 4 (t + 1) (t - t + 1) (t - t + 1) (t + t + 1) (t - 1) (t + t + 1) 6 3 4 41 (t + t + 1) x ) 6 3 2 %1 := (t + t + 1) and in Maple format (-1+t^4*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^4+1)*(t^8+1)*(t^16+1)*x^5-t^12*(t^2+t+1) *(t^64-t^63+t^61-t^59+t^58+t^56-15*t^55+14*t^54+t^53-13*t^52-70*t^51+83*t^50-13 *t^49-67*t^48-161*t^47+229*t^46-68*t^45-158*t^44-246*t^43+405*t^42-159*t^41-242 *t^40-303*t^39+547*t^38-244*t^37-300*t^36-321*t^35+623*t^34-302*t^33-318*t^32-\ 302*t^31+623*t^30-321*t^29-300*t^28-244*t^27+547*t^26-303*t^25-242*t^24-159*t^ 23+405*t^22-246*t^21-158*t^20-68*t^19+229*t^18-161*t^17-67*t^16-13*t^15+83*t^14 -70*t^13-13*t^12+t^11+14*t^10-15*t^9+t^8+t^6-t^5+t^3-t+1)*x^10+t^24*(t+1)*(t^2- t+1)*(t^6-t^3+1)*(t^4+1)*(t^74+2*t^66+49*t^65+t^62+259*t^61+3*t^58+769*t^57+t^ 56+2*t^54+1637*t^53+4*t^50+2764*t^49+2*t^48+2*t^46+3906*t^45+t^44+4*t^42+4754*t ^41+3*t^40+2*t^38+5071*t^37+2*t^36+3*t^34+4754*t^33+4*t^32+t^30+3906*t^29+2*t^ 28+2*t^26+2764*t^25+4*t^24+1637*t^21+2*t^20+t^18+769*t^17+3*t^16+259*t^13+t^12+ 49*t^9+2*t^8+1)*x^15-t^40*(t^100+t^96+2*t^92-71*t^91+3*t^88-449*t^87+5*t^84-\ 1555*t^83+72*t^82+5*t^80-3842*t^79+450*t^78+7*t^76-7495*t^75+1502*t^74-71*t^73+ 7*t^72-12148*t^71+3530*t^70-449*t^69+8*t^68-16858*t^67+6475*t^66-1555*t^65+8*t^ 64-20385*t^63+9826*t^62-3842*t^61+8*t^60-21696*t^59+12858*t^58-7495*t^57+7*t^56 -20385*t^55+14925*t^54-12148*t^53+8*t^52-16858*t^51+15657*t^50-16858*t^49+8*t^ 48-12148*t^47+14925*t^46-20385*t^45+7*t^44-7495*t^43+12858*t^42-21696*t^41+8*t^ 40-3842*t^39+9826*t^38-20385*t^37+8*t^36-1555*t^35+6475*t^34-16858*t^33+8*t^32-\ 449*t^31+3530*t^30-12148*t^29+7*t^28-71*t^27+1502*t^26-7495*t^25+7*t^24+450*t^ 22-3842*t^21+5*t^20+72*t^18-1555*t^17+5*t^16-449*t^13+3*t^12-71*t^9+2*t^8+t^4+1 )*x^20+t^60*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^92+2*t^84+54*t^83+t^80+294*t^79+3*t^ 76+900*t^75-103*t^74+2*t^72+2007*t^71-553*t^70+4*t^68+3540*t^67-1669*t^66+54*t^ 65+2*t^64+5184*t^63-3644*t^62+294*t^61+4*t^60+6459*t^59-6289*t^58+900*t^57+3*t^ 56+6942*t^55-9036*t^54+2007*t^53+3*t^52+6459*t^51-11102*t^50+3540*t^49+3*t^48+ 5184*t^47-11875*t^46+5184*t^45+3*t^44+3540*t^43-11102*t^42+6459*t^41+3*t^40+ 2007*t^39-9036*t^38+6942*t^37+3*t^36+900*t^35-6289*t^34+6459*t^33+4*t^32+294*t^ 31-3644*t^30+5184*t^29+2*t^28+54*t^27-1669*t^26+3540*t^25+4*t^24-553*t^22+2007* t^21+2*t^20-103*t^18+900*t^17+3*t^16+294*t^13+t^12+54*t^9+2*t^8+1)*(t^4+1)*x^25 -t^84*(t^84+t^80+2*t^76-27*t^75+2*t^72-159*t^71+3*t^68-501*t^67-40*t^66+3*t^64-\ 1089*t^63-236*t^62+4*t^60-1803*t^59-761*t^58-27*t^57+3*t^56-2397*t^55-1706*t^54 -159*t^53+3*t^52-2626*t^51-2902*t^50-501*t^49+3*t^48-2397*t^47-3929*t^46-1089*t ^45+3*t^44-1803*t^43-4330*t^42-1803*t^41+3*t^40-1089*t^39-3929*t^38-2397*t^37+3 *t^36-501*t^35-2902*t^34-2626*t^33+3*t^32-159*t^31-1706*t^30-2397*t^29+3*t^28-\ 27*t^27-761*t^26-1803*t^25+4*t^24-236*t^22-1089*t^21+3*t^20-40*t^18-501*t^17+3* t^16-159*t^13+2*t^12-27*t^9+2*t^8+t^4+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^30 +t^112*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^18+t^9+1)*(t^4+1)*(t^42+t^34+7*t^33+27*t^ 29+t^26+55*t^25+t^24+69*t^21+t^18+55*t^17+t^16+27*t^13+7*t^9+t^8+1)*(t-1)^2*(t^ 2+t+1)^2*(t^6+t^3+1)^2*x^35-t^144*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1 )^4*x^40)/(-1+(t+1)*(t^2-t+1)*(t^6-t^3+1)*x+t^4*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^ 4+1)*(t^8+1)*(t^16+1)*x^5-t^4*(t^4+1)*(t^42+t^34-7*t^33-27*t^29+t^26-55*t^25+t^ 24-69*t^21+t^18-55*t^17+t^16-27*t^13-7*t^9+t^8+1)*x^6-t^12*(t^2+t+1)*(t^64-t^63 +t^61-t^59+t^58+t^56-15*t^55+14*t^54+t^53-13*t^52-70*t^51+83*t^50-13*t^49-67*t^ 48-161*t^47+229*t^46-68*t^45-158*t^44-246*t^43+405*t^42-159*t^41-242*t^40-303*t ^39+547*t^38-244*t^37-300*t^36-321*t^35+623*t^34-302*t^33-318*t^32-302*t^31+623 *t^30-321*t^29-300*t^28-244*t^27+547*t^26-303*t^25-242*t^24-159*t^23+405*t^22-\ 246*t^21-158*t^20-68*t^19+229*t^18-161*t^17-67*t^16-13*t^15+83*t^14-70*t^13-13* t^12+t^11+14*t^10-15*t^9+t^8+t^6-t^5+t^3-t+1)*x^10+t^12*(t+1)*(t^2+t+1)*(t^2-t+ 1)*(t^6-t^3+1)*(t^64-t^63+t^61-t^59+t^58+t^56+12*t^55-13*t^54+t^53+14*t^52+62*t ^51-76*t^50+14*t^49+65*t^48+181*t^47-245*t^46+64*t^45+184*t^44+369*t^43-552*t^ 42+183*t^41+373*t^40+543*t^39-914*t^38+371*t^37+546*t^36+615*t^35-1159*t^34+544 *t^33+618*t^32+544*t^31-1159*t^30+615*t^29+546*t^28+371*t^27-914*t^26+543*t^25+ 373*t^24+183*t^23-552*t^22+369*t^21+184*t^20+64*t^19-245*t^18+181*t^17+65*t^16+ 14*t^15-76*t^14+62*t^13+14*t^12+t^11-13*t^10+12*t^9+t^8+t^6-t^5+t^3-t+1)*x^11+t ^24*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^4+1)*(t^74+2*t^66+49*t^65+t^62+259*t^61+3*t^ 58+769*t^57+t^56+2*t^54+1637*t^53+4*t^50+2764*t^49+2*t^48+2*t^46+3906*t^45+t^44 +4*t^42+4754*t^41+3*t^40+2*t^38+5071*t^37+2*t^36+3*t^34+4754*t^33+4*t^32+t^30+ 3906*t^29+2*t^28+2*t^26+2764*t^25+4*t^24+1637*t^21+2*t^20+t^18+769*t^17+3*t^16+ 259*t^13+t^12+49*t^9+2*t^8+1)*x^15-t^24*(t^2-t+1)*(t^18-t^9+1)*(t^4+1)*(t^8+1)* (t^64+t^63-t^61-t^60+t^58+t^57+t^56-5*t^55-6*t^54-t^53+6*t^52-28*t^51-34*t^50-6 *t^49+30*t^48-90*t^47-119*t^46-29*t^45+91*t^44-215*t^43-306*t^42-91*t^41+217*t^ 40-348*t^39-564*t^38-216*t^37+349*t^36-405*t^35-753*t^34-348*t^33+407*t^32-348* t^31-753*t^30-405*t^29+349*t^28-216*t^27-564*t^26-348*t^25+217*t^24-91*t^23-306 *t^22-215*t^21+91*t^20-29*t^19-119*t^18-90*t^17+30*t^16-6*t^15-34*t^14-28*t^13+ 6*t^12-t^11-6*t^10-5*t^9+t^8+t^7+t^6-t^4-t^3+t+1)*x^16-t^40*(t^100+t^96+2*t^92-\ 71*t^91+3*t^88-449*t^87+5*t^84-1555*t^83+72*t^82+5*t^80-3842*t^79+450*t^78+7*t^ 76-7495*t^75+1502*t^74-71*t^73+7*t^72-12148*t^71+3530*t^70-449*t^69+8*t^68-\ 16858*t^67+6475*t^66-1555*t^65+8*t^64-20385*t^63+9826*t^62-3842*t^61+8*t^60-\ 21696*t^59+12858*t^58-7495*t^57+7*t^56-20385*t^55+14925*t^54-12148*t^53+8*t^52-\ 16858*t^51+15657*t^50-16858*t^49+8*t^48-12148*t^47+14925*t^46-20385*t^45+7*t^44 -7495*t^43+12858*t^42-21696*t^41+8*t^40-3842*t^39+9826*t^38-20385*t^37+8*t^36-\ 1555*t^35+6475*t^34-16858*t^33+8*t^32-449*t^31+3530*t^30-12148*t^29+7*t^28-71*t ^27+1502*t^26-7495*t^25+7*t^24+450*t^22-3842*t^21+5*t^20+72*t^18-1555*t^17+5*t^ 16-449*t^13+3*t^12-71*t^9+2*t^8+t^4+1)*x^20+t^40*(t+1)*(t^100+t^96+2*t^92-2*t^ 91+3*t^88-2*t^87+5*t^84+11*t^83+3*t^82+5*t^80+73*t^79+3*t^78+7*t^76+254*t^75-37 *t^74-2*t^73+7*t^72+611*t^71-226*t^70-2*t^69+8*t^68+1091*t^67-773*t^66+11*t^65+ 8*t^64+1524*t^63-1844*t^62+73*t^61+8*t^60+1698*t^59-3288*t^58+254*t^57+7*t^56+ 1524*t^55-4587*t^54+611*t^53+8*t^52+1091*t^51-5109*t^50+1091*t^49+8*t^48+611*t^ 47-4587*t^46+1524*t^45+7*t^44+254*t^43-3288*t^42+1698*t^41+8*t^40+73*t^39-1844* t^38+1524*t^37+8*t^36+11*t^35-773*t^34+1091*t^33+8*t^32-2*t^31-226*t^30+611*t^ 29+7*t^28-2*t^27-37*t^26+254*t^25+7*t^24+3*t^22+73*t^21+5*t^20+3*t^18+11*t^17+5 *t^16-2*t^13+3*t^12-2*t^9+2*t^8+t^4+1)*(t^2-t+1)*(t^6-t^3+1)*x^21+t^60*(t+1)*(t ^2-t+1)*(t^6-t^3+1)*(t^92+2*t^84+54*t^83+t^80+294*t^79+3*t^76+900*t^75-103*t^74 +2*t^72+2007*t^71-553*t^70+4*t^68+3540*t^67-1669*t^66+54*t^65+2*t^64+5184*t^63-\ 3644*t^62+294*t^61+4*t^60+6459*t^59-6289*t^58+900*t^57+3*t^56+6942*t^55-9036*t^ 54+2007*t^53+3*t^52+6459*t^51-11102*t^50+3540*t^49+3*t^48+5184*t^47-11875*t^46+ 5184*t^45+3*t^44+3540*t^43-11102*t^42+6459*t^41+3*t^40+2007*t^39-9036*t^38+6942 *t^37+3*t^36+900*t^35-6289*t^34+6459*t^33+4*t^32+294*t^31-3644*t^30+5184*t^29+2 *t^28+54*t^27-1669*t^26+3540*t^25+4*t^24-553*t^22+2007*t^21+2*t^20-103*t^18+900 *t^17+3*t^16+294*t^13+t^12+54*t^9+2*t^8+1)*(t^4+1)*x^25-t^60*(t^4+1)*(t^110+2*t ^102-t^101+t^98+3*t^94-2*t^93+6*t^92+2*t^90-t^89+35*t^88+4*t^86-9*t^85+133*t^84 -5*t^83+2*t^82-29*t^81+371*t^80-35*t^79+4*t^78-58*t^77+794*t^76-131*t^75+8*t^74 -71*t^73+1334*t^72-370*t^71+38*t^70-58*t^69+1820*t^68-779*t^67+134*t^66-30*t^65 +2011*t^64-1278*t^63+373*t^62-9*t^61+1820*t^60-1708*t^59+794*t^58-3*t^57+1335*t ^56-1871*t^55+1335*t^54-3*t^53+794*t^52-1708*t^51+1820*t^50-9*t^49+373*t^48-\ 1278*t^47+2011*t^46-30*t^45+134*t^44-779*t^43+1820*t^42-58*t^41+38*t^40-370*t^ 39+1334*t^38-71*t^37+8*t^36-131*t^35+794*t^34-58*t^33+4*t^32-35*t^31+371*t^30-\ 29*t^29+2*t^28-5*t^27+133*t^26-9*t^25+4*t^24+35*t^22-t^21+2*t^20+6*t^18-2*t^17+ 3*t^16+t^12-t^9+2*t^8+1)*x^26-t^84*(t^84+t^80+2*t^76-27*t^75+2*t^72-159*t^71+3* t^68-501*t^67-40*t^66+3*t^64-1089*t^63-236*t^62+4*t^60-1803*t^59-761*t^58-27*t^ 57+3*t^56-2397*t^55-1706*t^54-159*t^53+3*t^52-2626*t^51-2902*t^50-501*t^49+3*t^ 48-2397*t^47-3929*t^46-1089*t^45+3*t^44-1803*t^43-4330*t^42-1803*t^41+3*t^40-\ 1089*t^39-3929*t^38-2397*t^37+3*t^36-501*t^35-2902*t^34-2626*t^33+3*t^32-159*t^ 31-1706*t^30-2397*t^29+3*t^28-27*t^27-761*t^26-1803*t^25+4*t^24-236*t^22-1089*t ^21+3*t^20-40*t^18-501*t^17+3*t^16-159*t^13+2*t^12-27*t^9+2*t^8+t^4+1)*(t-1)^2* (t^2+t+1)^2*(t^6+t^3+1)^2*x^30+t^84*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^84+t^80+2*t^ 76+2*t^72+3*t^68-13*t^66+3*t^64-77*t^62+4*t^60-260*t^58+3*t^56-617*t^54+3*t^52+ 2*t^51-1099*t^50+3*t^48-1532*t^46+3*t^44-1702*t^42+3*t^40-1532*t^38+3*t^36-1099 *t^34+2*t^33+3*t^32-617*t^30+3*t^28-260*t^26+4*t^24-77*t^22+3*t^20-13*t^18+3*t^ 16+2*t^12+2*t^8+t^4+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^31+t^112*(t+1)*(t^2- t+1)*(t^6-t^3+1)*(t^18+t^9+1)*(t^4+1)*(t^42+t^34+7*t^33+27*t^29+t^26+55*t^25+t^ 24+69*t^21+t^18+55*t^17+t^16+27*t^13+7*t^9+t^8+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+ 1)^2*x^35-t^112*(t^4+1)*(t^18+t^9+1)*(t^60+t^52+t^44+7*t^42+27*t^38+t^36+55*t^ 34+69*t^30+55*t^26+t^24+27*t^22+7*t^18+t^16+t^8+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3 +1)^2*x^36-t^144*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^4*x^40+t^144*(t +1)*(t^2-t+1)*(t^6-t^3+1)*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^4*x^41 ) J[9, 6](t, x), equals 5 2 2 4 6 3 (-1 + t (t + 1) %2 (t - t + 1) (t + 1) (t - t + 1) 8 6 4 2 16 12 8 4 2 6 15 (t - t + t - t + 1) (t - t + t - t + 1) (t + 1) x - t 2 76 75 73 72 71 69 68 67 66 (t + t + 1) (t - t + t - t + t - t + t - 14 t + 15 t 65 64 63 62 61 60 59 58 - t - 14 t + 15 t - 83 t + 70 t + 13 t - 83 t + 71 t 57 56 55 54 53 52 51 - 229 t + 161 t + 68 t - 229 t + 162 t - 405 t + 246 t 50 49 48 47 46 45 44 + 159 t - 405 t + 248 t - 547 t + 303 t + 244 t - 547 t 43 42 41 40 39 38 37 + 305 t - 623 t + 321 t + 302 t - 623 t + 324 t - 623 t 36 35 34 33 32 31 30 + 302 t + 321 t - 623 t + 305 t - 547 t + 244 t + 303 t 29 28 27 26 25 24 23 - 547 t + 248 t - 405 t + 159 t + 246 t - 405 t + 162 t 22 21 20 19 18 17 16 15 - 229 t + 68 t + 161 t - 229 t + 71 t - 83 t + 13 t + 70 t 14 13 12 11 10 9 8 7 5 4 3 - 83 t + 15 t - 14 t - t + 15 t - 14 t + t - t + t - t + t 12 30 88 79 78 74 73 70 - t + 1) x + t %2 (t + 49 t + 2 t + 259 t + t + t 69 68 64 63 60 59 58 55 + 769 t + 3 t + 1637 t + 2 t + 2 t + 2764 t + 4 t + t 54 53 50 49 48 45 44 43 + 3906 t + 2 t + 3 t + 4754 t + 4 t + 2 t + 5071 t + 2 t 40 39 38 35 34 33 30 29 + 4 t + 4754 t + 3 t + 2 t + 3906 t + t + 4 t + 2764 t 28 25 24 20 19 18 15 14 10 + 2 t + 2 t + 1637 t + 3 t + 769 t + t + t + 259 t + 2 t 9 2 6 3 2 18 50 116 111 + 49 t + 1) (t - t + 1) (t - t + 1) (t + 1) x - t (t + t 107 106 102 101 98 97 96 - 71 t + 2 t - 449 t + 3 t + 72 t - 1555 t + 5 t 93 92 91 89 88 87 86 + 450 t - 3842 t + 5 t - 71 t + 1502 t - 7495 t + 7 t 84 83 82 81 80 79 78 - 449 t + 3530 t - 12148 t + 7 t + t - 1555 t + 6475 t 77 76 75 74 73 72 71 - 16858 t + 8 t + t - 3842 t + 9826 t - 20385 t + 7 t 70 69 68 67 66 65 64 + 2 t - 7495 t + 12858 t - 21696 t + 7 t + 3 t - 12148 t 63 62 61 60 59 58 + 14925 t - 20385 t + 5 t + 5 t - 16858 t + 15657 t 57 56 55 54 53 52 51 - 16858 t + 5 t + 5 t - 20385 t + 14925 t - 12148 t + 3 t 50 49 48 47 46 45 44 + 7 t - 21696 t + 12858 t - 7495 t + 2 t + 7 t - 20385 t 43 42 41 40 39 38 37 + 9826 t - 3842 t + t + 8 t - 16858 t + 6475 t - 1555 t 36 35 34 33 32 30 29 + t + 7 t - 12148 t + 3530 t - 449 t + 7 t - 7495 t 28 27 25 24 23 20 19 + 1502 t - 71 t + 5 t - 3842 t + 450 t + 5 t - 1555 t 18 15 14 10 9 5 24 75 + 72 t + 3 t - 449 t + 2 t - 71 t + t + 1) x + t 2 6 3 106 97 96 92 91 (t - t + 1) %2 (t - t + 1) (t + 54 t + 2 t + 294 t + t 88 87 86 83 82 81 79 - 103 t + 900 t + 3 t - 553 t + 2007 t + 2 t + 54 t 78 77 76 74 73 72 71 - 1669 t + 3540 t + 4 t + 294 t - 3644 t + 5184 t + 2 t 70 69 68 67 66 64 63 + t + 900 t - 6289 t + 6459 t + 4 t + 2007 t - 9036 t 62 61 60 59 58 57 56 55 + 6942 t + 2 t + 2 t + 3540 t - 11102 t + 6459 t + 3 t + t 54 53 52 51 50 49 48 + 5184 t - 11875 t + 5184 t + t + 3 t + 6459 t - 11102 t 47 46 45 44 43 42 40 + 3540 t + 2 t + 2 t + 6942 t - 9036 t + 2007 t + 4 t 39 38 37 36 35 34 33 + 6459 t - 6289 t + 900 t + t + 2 t + 5184 t - 3644 t 32 30 29 28 27 25 24 + 294 t + 4 t + 3540 t - 1669 t + 54 t + 2 t + 2007 t 23 20 19 18 15 14 10 9 - 553 t + 3 t + 900 t - 103 t + t + 294 t + 2 t + 54 t + 1) 2 30 105 96 91 87 86 82 81 78 (t + 1) x - t (t + t - 27 t + 2 t - 159 t + 2 t - 40 t 77 76 73 72 71 69 68 - 501 t + 3 t - 236 t - 1089 t + 3 t - 27 t - 761 t 67 66 64 63 62 61 60 59 - 1803 t + 4 t - 159 t - 1706 t - 2397 t + 3 t + t - 501 t 58 57 56 55 54 53 52 - 2902 t - 2626 t + 3 t + t - 1089 t - 3929 t - 2397 t 51 50 49 48 47 46 45 + 2 t + 2 t - 1803 t - 4330 t - 1803 t + 2 t + 2 t 44 43 42 41 40 39 38 - 2397 t - 3929 t - 1089 t + t + 3 t - 2626 t - 2902 t 37 36 35 34 33 32 30 29 - 501 t + t + 3 t - 2397 t - 1706 t - 159 t + 4 t - 1803 t 28 27 25 24 23 20 19 18 - 761 t - 27 t + 3 t - 1089 t - 236 t + 3 t - 501 t - 40 t 15 14 10 9 5 2 2 2 36 + 2 t - 159 t + 2 t - 27 t + t + 1) (t - 1) (t + t + 1) %1 x 140 2 6 3 18 9 48 39 38 + t (t - t + 1) %2 (t - t + 1) (t + t + 1) (t + 7 t + t 34 30 29 28 24 20 19 18 14 10 + 27 t + t + 55 t + t + 69 t + t + 55 t + t + 27 t + t 9 2 2 2 2 42 + 7 t + 1) (t - 1) (t + t + 1) %1 (t + 1) x 180 18 9 2 4 2 4 6 3 4 48 / - t (t + t + 1) (t - 1) (t + t + 1) (t + t + 1) x ) / (-1 / 2 6 3 5 2 2 + (t + 1) (t - t + 1) (t - t + 1) x + t (t + 1) %2 (t - t + 1) 4 6 3 8 6 4 2 16 12 8 4 (t + 1) (t - t + 1) (t - t + t - t + 1) (t - t + t - t + 1) 2 6 5 48 39 38 34 30 29 (t + 1) x - t (t + 1) %2 (t - 7 t + t - 27 t + t - 55 t 28 24 20 19 18 14 10 9 7 15 + t - 69 t + t - 55 t + t - 27 t + t - 7 t + 1) x - t 2 76 75 73 72 71 69 68 67 66 (t + t + 1) (t - t + t - t + t - t + t - 14 t + 15 t 65 64 63 62 61 60 59 58 - t - 14 t + 15 t - 83 t + 70 t + 13 t - 83 t + 71 t 57 56 55 54 53 52 51 - 229 t + 161 t + 68 t - 229 t + 162 t - 405 t + 246 t 50 49 48 47 46 45 44 + 159 t - 405 t + 248 t - 547 t + 303 t + 244 t - 547 t 43 42 41 40 39 38 37 + 305 t - 623 t + 321 t + 302 t - 623 t + 324 t - 623 t 36 35 34 33 32 31 30 + 302 t + 321 t - 623 t + 305 t - 547 t + 244 t + 303 t 29 28 27 26 25 24 23 - 547 t + 248 t - 405 t + 159 t + 246 t - 405 t + 162 t 22 21 20 19 18 17 16 15 - 229 t + 68 t + 161 t - 229 t + 71 t - 83 t + 13 t + 70 t 14 13 12 11 10 9 8 7 5 4 3 - 83 t + 15 t - 14 t - t + 15 t - 14 t + t - t + t - t + t 12 15 2 2 6 3 76 - t + 1) x + t (t + 1) (t + t + 1) (t - t + 1) (t - t + 1) (t 75 73 72 71 69 68 67 66 65 64 - t + t - t + t - t + t + 13 t - 12 t - t + 13 t 63 62 61 60 59 58 57 56 - 12 t + 76 t - 62 t - 14 t + 76 t - 61 t + 245 t - 181 t 55 54 53 52 51 50 49 - 64 t + 245 t - 180 t + 552 t - 369 t - 183 t + 552 t 48 47 46 45 44 43 42 - 367 t + 914 t - 543 t - 371 t + 914 t - 541 t + 1159 t 41 40 39 38 37 36 35 - 615 t - 544 t + 1159 t - 612 t + 1159 t - 544 t - 615 t 34 33 32 31 30 29 28 + 1159 t - 541 t + 914 t - 371 t - 543 t + 914 t - 367 t 27 26 25 24 23 22 21 + 552 t - 183 t - 369 t + 552 t - 180 t + 245 t - 64 t 20 19 18 17 16 15 14 13 - 181 t + 245 t - 61 t + 76 t - 14 t - 62 t + 76 t - 12 t 12 11 10 9 8 7 5 4 3 13 + 13 t - t - 12 t + 13 t + t - t + t - t + t - t + 1) x + 30 88 79 78 74 73 70 69 68 t %2 (t + 49 t + 2 t + 259 t + t + t + 769 t + 3 t 64 63 60 59 58 55 54 53 + 1637 t + 2 t + 2 t + 2764 t + 4 t + t + 3906 t + 2 t 50 49 48 45 44 43 40 39 + 3 t + 4754 t + 4 t + 2 t + 5071 t + 2 t + 4 t + 4754 t 38 35 34 33 30 29 28 25 + 3 t + 2 t + 3906 t + t + 4 t + 2764 t + 2 t + 2 t 24 20 19 18 15 14 10 9 + 1637 t + 3 t + 769 t + t + t + 259 t + 2 t + 49 t + 1) 2 6 3 2 18 30 2 (t - t + 1) (t - t + 1) (t + 1) x - t (t + 1) (t + 1) %2 8 6 4 2 18 9 78 69 68 64 63 (t - t + t - t + 1) (t - t + 1) (t - 5 t + t - 35 t + t 60 59 58 54 53 50 49 48 45 + t - 126 t + 2 t - 335 t + t + t - 656 t + 2 t + t 44 43 40 39 38 35 34 33 30 - 970 t + t + 2 t - 1103 t + 2 t + t - 970 t + t + 2 t 29 28 25 24 20 19 18 15 14 - 656 t + t + t - 335 t + 2 t - 126 t + t + t - 35 t 10 9 19 50 116 111 107 106 102 + t - 5 t + 1) x - t (t + t - 71 t + 2 t - 449 t 101 98 97 96 93 92 91 89 + 3 t + 72 t - 1555 t + 5 t + 450 t - 3842 t + 5 t - 71 t 88 87 86 84 83 82 81 + 1502 t - 7495 t + 7 t - 449 t + 3530 t - 12148 t + 7 t 80 79 78 77 76 75 74 + t - 1555 t + 6475 t - 16858 t + 8 t + t - 3842 t 73 72 71 70 69 68 67 + 9826 t - 20385 t + 7 t + 2 t - 7495 t + 12858 t - 21696 t 66 65 64 63 62 61 60 + 7 t + 3 t - 12148 t + 14925 t - 20385 t + 5 t + 5 t 59 58 57 56 55 54 - 16858 t + 15657 t - 16858 t + 5 t + 5 t - 20385 t 53 52 51 50 49 48 47 + 14925 t - 12148 t + 3 t + 7 t - 21696 t + 12858 t - 7495 t 46 45 44 43 42 41 40 + 2 t + 7 t - 20385 t + 9826 t - 3842 t + t + 8 t 39 38 37 36 35 34 33 - 16858 t + 6475 t - 1555 t + t + 7 t - 12148 t + 3530 t 32 30 29 28 27 25 24 - 449 t + 7 t - 7495 t + 1502 t - 71 t + 5 t - 3842 t 23 20 19 18 15 14 10 9 + 450 t + 5 t - 1555 t + 72 t + 3 t - 449 t + 2 t - 71 t 5 24 50 2 6 3 116 111 + t + 1) x + t (t + 1) (t - t + 1) (t - t + 1) (t + t 107 106 102 101 98 97 96 93 - 2 t + 2 t - 2 t + 3 t + 3 t + 11 t + 5 t + 3 t 92 91 89 88 87 86 84 83 + 73 t + 5 t - 2 t - 37 t + 254 t + 7 t - 2 t - 226 t 82 81 80 79 78 77 76 75 + 611 t + 7 t + t + 11 t - 773 t + 1091 t + 8 t + t 74 73 72 71 70 69 68 + 73 t - 1844 t + 1524 t + 7 t + 2 t + 254 t - 3288 t 67 66 65 64 63 62 61 60 + 1698 t + 7 t + 3 t + 611 t - 4587 t + 1524 t + 5 t + 5 t 59 58 57 56 55 54 53 + 1091 t - 5109 t + 1091 t + 5 t + 5 t + 1524 t - 4587 t 52 51 50 49 48 47 46 45 + 611 t + 3 t + 7 t + 1698 t - 3288 t + 254 t + 2 t + 7 t 44 43 42 41 40 39 38 37 + 1524 t - 1844 t + 73 t + t + 8 t + 1091 t - 773 t + 11 t 36 35 34 33 32 30 29 28 + t + 7 t + 611 t - 226 t - 2 t + 7 t + 254 t - 37 t 27 25 24 23 20 19 18 15 14 - 2 t + 5 t + 73 t + 3 t + 5 t + 11 t + 3 t + 3 t - 2 t 10 9 5 25 75 2 6 3 106 + 2 t - 2 t + t + 1) x + t (t - t + 1) %2 (t - t + 1) (t 97 96 92 91 88 87 86 83 + 54 t + 2 t + 294 t + t - 103 t + 900 t + 3 t - 553 t 82 81 79 78 77 76 74 + 2007 t + 2 t + 54 t - 1669 t + 3540 t + 4 t + 294 t 73 72 71 70 69 68 67 - 3644 t + 5184 t + 2 t + t + 900 t - 6289 t + 6459 t 66 64 63 62 61 60 59 + 4 t + 2007 t - 9036 t + 6942 t + 2 t + 2 t + 3540 t 58 57 56 55 54 53 52 - 11102 t + 6459 t + 3 t + t + 5184 t - 11875 t + 5184 t 51 50 49 48 47 46 45 44 + t + 3 t + 6459 t - 11102 t + 3540 t + 2 t + 2 t + 6942 t 43 42 40 39 38 37 36 - 9036 t + 2007 t + 4 t + 6459 t - 6289 t + 900 t + t 35 34 33 32 30 29 28 + 2 t + 5184 t - 3644 t + 294 t + 4 t + 3540 t - 1669 t 27 25 24 23 20 19 18 15 + 54 t + 2 t + 2007 t - 553 t + 3 t + 900 t - 103 t + t 14 10 9 2 30 75 124 115 + 294 t + 2 t + 54 t + 1) (t + 1) x - t (t + 1) %2 (t - t 114 109 106 105 104 101 100 99 + 2 t + t + 6 t - 2 t + 3 t + 35 t - t + 2 t 97 96 95 94 92 91 90 89 - 5 t + 133 t - 9 t + 4 t - 35 t + 371 t - 29 t + 2 t 88 87 86 85 84 83 82 81 + 6 t - 131 t + 794 t - 58 t + 4 t + 35 t - 370 t + 1334 t 80 79 78 77 76 75 74 73 - 71 t + t + 133 t - 779 t + 1820 t - 58 t + 3 t + 371 t 72 71 70 69 68 67 66 - 1278 t + 2011 t - 28 t - t + 794 t - 1708 t + 1820 t 65 64 63 62 61 60 59 58 - 9 t + t + 1334 t - 1871 t + 1334 t + t - 9 t + 1820 t 57 56 55 54 53 52 51 - 1708 t + 794 t - t - 28 t + 2011 t - 1278 t + 371 t 50 49 48 47 46 45 44 43 + 3 t - 58 t + 1820 t - 779 t + 133 t + t - 71 t + 1334 t 42 41 40 39 38 37 36 35 - 370 t + 35 t + 4 t - 58 t + 794 t - 131 t + 6 t + 2 t 34 33 32 30 29 28 27 25 - 29 t + 371 t - 35 t + 4 t - 9 t + 133 t - 5 t + 2 t 24 23 20 19 18 15 10 9 31 105 - t + 35 t + 3 t - 2 t + 6 t + t + 2 t - t + 1) x - t 96 91 87 86 82 81 78 77 76 (t + t - 27 t + 2 t - 159 t + 2 t - 40 t - 501 t + 3 t 73 72 71 69 68 67 66 - 236 t - 1089 t + 3 t - 27 t - 761 t - 1803 t + 4 t 64 63 62 61 60 59 58 - 159 t - 1706 t - 2397 t + 3 t + t - 501 t - 2902 t 57 56 55 54 53 52 51 50 - 2626 t + 3 t + t - 1089 t - 3929 t - 2397 t + 2 t + 2 t 49 48 47 46 45 44 43 - 1803 t - 4330 t - 1803 t + 2 t + 2 t - 2397 t - 3929 t 42 41 40 39 38 37 36 35 - 1089 t + t + 3 t - 2626 t - 2902 t - 501 t + t + 3 t 34 33 32 30 29 28 27 - 2397 t - 1706 t - 159 t + 4 t - 1803 t - 761 t - 27 t 25 24 23 20 19 18 15 14 + 3 t - 1089 t - 236 t + 3 t - 501 t - 40 t + 2 t - 159 t 10 9 5 2 2 2 36 105 + 2 t - 27 t + t + 1) (t - 1) (t + t + 1) %1 x + t (t + 1) 2 6 3 96 91 86 81 78 76 (t - t + 1) (t - t + 1) (t + t + 2 t + 2 t - 13 t + 3 t 73 71 68 66 63 61 60 58 - 77 t + 3 t - 260 t + 4 t - 617 t + 3 t + t - 1099 t 57 56 55 53 51 50 48 46 + 2 t + 3 t + t - 1532 t + 2 t + 2 t - 1702 t + 2 t 45 43 41 40 39 38 36 35 + 2 t - 1532 t + t + 3 t + 2 t - 1099 t + t + 3 t 33 30 28 25 23 20 18 15 - 617 t + 4 t - 260 t + 3 t - 77 t + 3 t - 13 t + 2 t 10 5 2 2 2 37 140 2 + 2 t + t + 1) (t - 1) (t + t + 1) %1 x + t (t - t + 1) %2 6 3 18 9 48 39 38 34 30 29 (t - t + 1) (t + t + 1) (t + 7 t + t + 27 t + t + 55 t 28 24 20 19 18 14 10 9 2 + t + 69 t + t + 55 t + t + 27 t + t + 7 t + 1) (t - 1) 2 2 2 42 140 18 9 66 56 (t + t + 1) %1 (t + 1) x - t (t + 1) %2 (t + t + 1) (t + t 48 46 43 38 36 33 30 28 23 + 7 t + t + 27 t + 55 t + t + 69 t + t + 55 t + 27 t 20 18 10 2 2 2 43 + t + 7 t + t + 1) (t - 1) (t + t + 1) %1 x 180 18 9 2 4 2 4 6 3 4 48 180 - t (t + t + 1) (t - 1) (t + t + 1) (t + t + 1) x + t 2 6 3 18 9 2 4 2 4 (t + 1) (t - t + 1) (t - t + 1) (t + t + 1) (t - 1) (t + t + 1) 6 3 4 49 (t + t + 1) x ) 6 3 2 %1 := (t + t + 1) 4 3 2 %2 := t - t + t - t + 1 and in Maple format (-1+t^5*(t^2+1)*(t^4-t^3+t^2-t+1)*(t^2-t+1)*(t^4+1)*(t^6-t^3+1)*(t^8-t^6+t^4-t^ 2+1)*(t^16-t^12+t^8-t^4+1)*(t+1)^2*x^6-t^15*(t^2+t+1)*(t^76-t^75+t^73-t^72+t^71 -t^69+t^68-14*t^67+15*t^66-t^65-14*t^64+15*t^63-83*t^62+70*t^61+13*t^60-83*t^59 +71*t^58-229*t^57+161*t^56+68*t^55-229*t^54+162*t^53-405*t^52+246*t^51+159*t^50 -405*t^49+248*t^48-547*t^47+303*t^46+244*t^45-547*t^44+305*t^43-623*t^42+321*t^ 41+302*t^40-623*t^39+324*t^38-623*t^37+302*t^36+321*t^35-623*t^34+305*t^33-547* t^32+244*t^31+303*t^30-547*t^29+248*t^28-405*t^27+159*t^26+246*t^25-405*t^24+ 162*t^23-229*t^22+68*t^21+161*t^20-229*t^19+71*t^18-83*t^17+13*t^16+70*t^15-83* t^14+15*t^13-14*t^12-t^11+15*t^10-14*t^9+t^8-t^7+t^5-t^4+t^3-t+1)*x^12+t^30*(t^ 4-t^3+t^2-t+1)*(t^88+49*t^79+2*t^78+259*t^74+t^73+t^70+769*t^69+3*t^68+1637*t^ 64+2*t^63+2*t^60+2764*t^59+4*t^58+t^55+3906*t^54+2*t^53+3*t^50+4754*t^49+4*t^48 +2*t^45+5071*t^44+2*t^43+4*t^40+4754*t^39+3*t^38+2*t^35+3906*t^34+t^33+4*t^30+ 2764*t^29+2*t^28+2*t^25+1637*t^24+3*t^20+769*t^19+t^18+t^15+259*t^14+2*t^10+49* t^9+1)*(t^2-t+1)*(t^6-t^3+1)*(t+1)^2*x^18-t^50*(t^116+t^111-71*t^107+2*t^106-\ 449*t^102+3*t^101+72*t^98-1555*t^97+5*t^96+450*t^93-3842*t^92+5*t^91-71*t^89+ 1502*t^88-7495*t^87+7*t^86-449*t^84+3530*t^83-12148*t^82+7*t^81+t^80-1555*t^79+ 6475*t^78-16858*t^77+8*t^76+t^75-3842*t^74+9826*t^73-20385*t^72+7*t^71+2*t^70-\ 7495*t^69+12858*t^68-21696*t^67+7*t^66+3*t^65-12148*t^64+14925*t^63-20385*t^62+ 5*t^61+5*t^60-16858*t^59+15657*t^58-16858*t^57+5*t^56+5*t^55-20385*t^54+14925*t ^53-12148*t^52+3*t^51+7*t^50-21696*t^49+12858*t^48-7495*t^47+2*t^46+7*t^45-\ 20385*t^44+9826*t^43-3842*t^42+t^41+8*t^40-16858*t^39+6475*t^38-1555*t^37+t^36+ 7*t^35-12148*t^34+3530*t^33-449*t^32+7*t^30-7495*t^29+1502*t^28-71*t^27+5*t^25-\ 3842*t^24+450*t^23+5*t^20-1555*t^19+72*t^18+3*t^15-449*t^14+2*t^10-71*t^9+t^5+1 )*x^24+t^75*(t^2-t+1)*(t^4-t^3+t^2-t+1)*(t^6-t^3+1)*(t^106+54*t^97+2*t^96+294*t ^92+t^91-103*t^88+900*t^87+3*t^86-553*t^83+2007*t^82+2*t^81+54*t^79-1669*t^78+ 3540*t^77+4*t^76+294*t^74-3644*t^73+5184*t^72+2*t^71+t^70+900*t^69-6289*t^68+ 6459*t^67+4*t^66+2007*t^64-9036*t^63+6942*t^62+2*t^61+2*t^60+3540*t^59-11102*t^ 58+6459*t^57+3*t^56+t^55+5184*t^54-11875*t^53+5184*t^52+t^51+3*t^50+6459*t^49-\ 11102*t^48+3540*t^47+2*t^46+2*t^45+6942*t^44-9036*t^43+2007*t^42+4*t^40+6459*t^ 39-6289*t^38+900*t^37+t^36+2*t^35+5184*t^34-3644*t^33+294*t^32+4*t^30+3540*t^29 -1669*t^28+54*t^27+2*t^25+2007*t^24-553*t^23+3*t^20+900*t^19-103*t^18+t^15+294* t^14+2*t^10+54*t^9+1)*(t+1)^2*x^30-t^105*(t^96+t^91-27*t^87+2*t^86-159*t^82+2*t ^81-40*t^78-501*t^77+3*t^76-236*t^73-1089*t^72+3*t^71-27*t^69-761*t^68-1803*t^ 67+4*t^66-159*t^64-1706*t^63-2397*t^62+3*t^61+t^60-501*t^59-2902*t^58-2626*t^57 +3*t^56+t^55-1089*t^54-3929*t^53-2397*t^52+2*t^51+2*t^50-1803*t^49-4330*t^48-\ 1803*t^47+2*t^46+2*t^45-2397*t^44-3929*t^43-1089*t^42+t^41+3*t^40-2626*t^39-\ 2902*t^38-501*t^37+t^36+3*t^35-2397*t^34-1706*t^33-159*t^32+4*t^30-1803*t^29-\ 761*t^28-27*t^27+3*t^25-1089*t^24-236*t^23+3*t^20-501*t^19-40*t^18+2*t^15-159*t ^14+2*t^10-27*t^9+t^5+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^36+t^140*(t^2-t+1) *(t^4-t^3+t^2-t+1)*(t^6-t^3+1)*(t^18+t^9+1)*(t^48+7*t^39+t^38+27*t^34+t^30+55*t ^29+t^28+69*t^24+t^20+55*t^19+t^18+27*t^14+t^10+7*t^9+1)*(t-1)^2*(t^2+t+1)^2*(t ^6+t^3+1)^2*(t+1)^2*x^42-t^180*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^4 *x^48)/(-1+(t+1)*(t^2-t+1)*(t^6-t^3+1)*x+t^5*(t^2+1)*(t^4-t^3+t^2-t+1)*(t^2-t+1 )*(t^4+1)*(t^6-t^3+1)*(t^8-t^6+t^4-t^2+1)*(t^16-t^12+t^8-t^4+1)*(t+1)^2*x^6-t^5 *(t+1)*(t^4-t^3+t^2-t+1)*(t^48-7*t^39+t^38-27*t^34+t^30-55*t^29+t^28-69*t^24+t^ 20-55*t^19+t^18-27*t^14+t^10-7*t^9+1)*x^7-t^15*(t^2+t+1)*(t^76-t^75+t^73-t^72+t ^71-t^69+t^68-14*t^67+15*t^66-t^65-14*t^64+15*t^63-83*t^62+70*t^61+13*t^60-83*t ^59+71*t^58-229*t^57+161*t^56+68*t^55-229*t^54+162*t^53-405*t^52+246*t^51+159*t ^50-405*t^49+248*t^48-547*t^47+303*t^46+244*t^45-547*t^44+305*t^43-623*t^42+321 *t^41+302*t^40-623*t^39+324*t^38-623*t^37+302*t^36+321*t^35-623*t^34+305*t^33-\ 547*t^32+244*t^31+303*t^30-547*t^29+248*t^28-405*t^27+159*t^26+246*t^25-405*t^ 24+162*t^23-229*t^22+68*t^21+161*t^20-229*t^19+71*t^18-83*t^17+13*t^16+70*t^15-\ 83*t^14+15*t^13-14*t^12-t^11+15*t^10-14*t^9+t^8-t^7+t^5-t^4+t^3-t+1)*x^12+t^15* (t+1)*(t^2+t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^76-t^75+t^73-t^72+t^71-t^69+t^68+13*t^ 67-12*t^66-t^65+13*t^64-12*t^63+76*t^62-62*t^61-14*t^60+76*t^59-61*t^58+245*t^ 57-181*t^56-64*t^55+245*t^54-180*t^53+552*t^52-369*t^51-183*t^50+552*t^49-367*t ^48+914*t^47-543*t^46-371*t^45+914*t^44-541*t^43+1159*t^42-615*t^41-544*t^40+ 1159*t^39-612*t^38+1159*t^37-544*t^36-615*t^35+1159*t^34-541*t^33+914*t^32-371* t^31-543*t^30+914*t^29-367*t^28+552*t^27-183*t^26-369*t^25+552*t^24-180*t^23+ 245*t^22-64*t^21-181*t^20+245*t^19-61*t^18+76*t^17-14*t^16-62*t^15+76*t^14-12*t ^13+13*t^12-t^11-12*t^10+13*t^9+t^8-t^7+t^5-t^4+t^3-t+1)*x^13+t^30*(t^4-t^3+t^2 -t+1)*(t^88+49*t^79+2*t^78+259*t^74+t^73+t^70+769*t^69+3*t^68+1637*t^64+2*t^63+ 2*t^60+2764*t^59+4*t^58+t^55+3906*t^54+2*t^53+3*t^50+4754*t^49+4*t^48+2*t^45+ 5071*t^44+2*t^43+4*t^40+4754*t^39+3*t^38+2*t^35+3906*t^34+t^33+4*t^30+2764*t^29 +2*t^28+2*t^25+1637*t^24+3*t^20+769*t^19+t^18+t^15+259*t^14+2*t^10+49*t^9+1)*(t ^2-t+1)*(t^6-t^3+1)*(t+1)^2*x^18-t^30*(t+1)*(t^2+1)*(t^4-t^3+t^2-t+1)*(t^8-t^6+ t^4-t^2+1)*(t^18-t^9+1)*(t^78-5*t^69+t^68-35*t^64+t^63+t^60-126*t^59+2*t^58-335 *t^54+t^53+t^50-656*t^49+2*t^48+t^45-970*t^44+t^43+2*t^40-1103*t^39+2*t^38+t^35 -970*t^34+t^33+2*t^30-656*t^29+t^28+t^25-335*t^24+2*t^20-126*t^19+t^18+t^15-35* t^14+t^10-5*t^9+1)*x^19-t^50*(t^116+t^111-71*t^107+2*t^106-449*t^102+3*t^101+72 *t^98-1555*t^97+5*t^96+450*t^93-3842*t^92+5*t^91-71*t^89+1502*t^88-7495*t^87+7* t^86-449*t^84+3530*t^83-12148*t^82+7*t^81+t^80-1555*t^79+6475*t^78-16858*t^77+8 *t^76+t^75-3842*t^74+9826*t^73-20385*t^72+7*t^71+2*t^70-7495*t^69+12858*t^68-\ 21696*t^67+7*t^66+3*t^65-12148*t^64+14925*t^63-20385*t^62+5*t^61+5*t^60-16858*t ^59+15657*t^58-16858*t^57+5*t^56+5*t^55-20385*t^54+14925*t^53-12148*t^52+3*t^51 +7*t^50-21696*t^49+12858*t^48-7495*t^47+2*t^46+7*t^45-20385*t^44+9826*t^43-3842 *t^42+t^41+8*t^40-16858*t^39+6475*t^38-1555*t^37+t^36+7*t^35-12148*t^34+3530*t^ 33-449*t^32+7*t^30-7495*t^29+1502*t^28-71*t^27+5*t^25-3842*t^24+450*t^23+5*t^20 -1555*t^19+72*t^18+3*t^15-449*t^14+2*t^10-71*t^9+t^5+1)*x^24+t^50*(t+1)*(t^2-t+ 1)*(t^6-t^3+1)*(t^116+t^111-2*t^107+2*t^106-2*t^102+3*t^101+3*t^98+11*t^97+5*t^ 96+3*t^93+73*t^92+5*t^91-2*t^89-37*t^88+254*t^87+7*t^86-2*t^84-226*t^83+611*t^ 82+7*t^81+t^80+11*t^79-773*t^78+1091*t^77+8*t^76+t^75+73*t^74-1844*t^73+1524*t^ 72+7*t^71+2*t^70+254*t^69-3288*t^68+1698*t^67+7*t^66+3*t^65+611*t^64-4587*t^63+ 1524*t^62+5*t^61+5*t^60+1091*t^59-5109*t^58+1091*t^57+5*t^56+5*t^55+1524*t^54-\ 4587*t^53+611*t^52+3*t^51+7*t^50+1698*t^49-3288*t^48+254*t^47+2*t^46+7*t^45+ 1524*t^44-1844*t^43+73*t^42+t^41+8*t^40+1091*t^39-773*t^38+11*t^37+t^36+7*t^35+ 611*t^34-226*t^33-2*t^32+7*t^30+254*t^29-37*t^28-2*t^27+5*t^25+73*t^24+3*t^23+5 *t^20+11*t^19+3*t^18+3*t^15-2*t^14+2*t^10-2*t^9+t^5+1)*x^25+t^75*(t^2-t+1)*(t^4 -t^3+t^2-t+1)*(t^6-t^3+1)*(t^106+54*t^97+2*t^96+294*t^92+t^91-103*t^88+900*t^87 +3*t^86-553*t^83+2007*t^82+2*t^81+54*t^79-1669*t^78+3540*t^77+4*t^76+294*t^74-\ 3644*t^73+5184*t^72+2*t^71+t^70+900*t^69-6289*t^68+6459*t^67+4*t^66+2007*t^64-\ 9036*t^63+6942*t^62+2*t^61+2*t^60+3540*t^59-11102*t^58+6459*t^57+3*t^56+t^55+ 5184*t^54-11875*t^53+5184*t^52+t^51+3*t^50+6459*t^49-11102*t^48+3540*t^47+2*t^ 46+2*t^45+6942*t^44-9036*t^43+2007*t^42+4*t^40+6459*t^39-6289*t^38+900*t^37+t^ 36+2*t^35+5184*t^34-3644*t^33+294*t^32+4*t^30+3540*t^29-1669*t^28+54*t^27+2*t^ 25+2007*t^24-553*t^23+3*t^20+900*t^19-103*t^18+t^15+294*t^14+2*t^10+54*t^9+1)*( t+1)^2*x^30-t^75*(t+1)*(t^4-t^3+t^2-t+1)*(t^124-t^115+2*t^114+t^109+6*t^106-2*t ^105+3*t^104+35*t^101-t^100+2*t^99-5*t^97+133*t^96-9*t^95+4*t^94-35*t^92+371*t^ 91-29*t^90+2*t^89+6*t^88-131*t^87+794*t^86-58*t^85+4*t^84+35*t^83-370*t^82+1334 *t^81-71*t^80+t^79+133*t^78-779*t^77+1820*t^76-58*t^75+3*t^74+371*t^73-1278*t^ 72+2011*t^71-28*t^70-t^69+794*t^68-1708*t^67+1820*t^66-9*t^65+t^64+1334*t^63-\ 1871*t^62+1334*t^61+t^60-9*t^59+1820*t^58-1708*t^57+794*t^56-t^55-28*t^54+2011* t^53-1278*t^52+371*t^51+3*t^50-58*t^49+1820*t^48-779*t^47+133*t^46+t^45-71*t^44 +1334*t^43-370*t^42+35*t^41+4*t^40-58*t^39+794*t^38-131*t^37+6*t^36+2*t^35-29*t ^34+371*t^33-35*t^32+4*t^30-9*t^29+133*t^28-5*t^27+2*t^25-t^24+35*t^23+3*t^20-2 *t^19+6*t^18+t^15+2*t^10-t^9+1)*x^31-t^105*(t^96+t^91-27*t^87+2*t^86-159*t^82+2 *t^81-40*t^78-501*t^77+3*t^76-236*t^73-1089*t^72+3*t^71-27*t^69-761*t^68-1803*t ^67+4*t^66-159*t^64-1706*t^63-2397*t^62+3*t^61+t^60-501*t^59-2902*t^58-2626*t^ 57+3*t^56+t^55-1089*t^54-3929*t^53-2397*t^52+2*t^51+2*t^50-1803*t^49-4330*t^48-\ 1803*t^47+2*t^46+2*t^45-2397*t^44-3929*t^43-1089*t^42+t^41+3*t^40-2626*t^39-\ 2902*t^38-501*t^37+t^36+3*t^35-2397*t^34-1706*t^33-159*t^32+4*t^30-1803*t^29-\ 761*t^28-27*t^27+3*t^25-1089*t^24-236*t^23+3*t^20-501*t^19-40*t^18+2*t^15-159*t ^14+2*t^10-27*t^9+t^5+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^36+t^105*(t+1)*(t^ 2-t+1)*(t^6-t^3+1)*(t^96+t^91+2*t^86+2*t^81-13*t^78+3*t^76-77*t^73+3*t^71-260*t ^68+4*t^66-617*t^63+3*t^61+t^60-1099*t^58+2*t^57+3*t^56+t^55-1532*t^53+2*t^51+2 *t^50-1702*t^48+2*t^46+2*t^45-1532*t^43+t^41+3*t^40+2*t^39-1099*t^38+t^36+3*t^ 35-617*t^33+4*t^30-260*t^28+3*t^25-77*t^23+3*t^20-13*t^18+2*t^15+2*t^10+t^5+1)* (t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*x^37+t^140*(t^2-t+1)*(t^4-t^3+t^2-t+1)*(t^6-t ^3+1)*(t^18+t^9+1)*(t^48+7*t^39+t^38+27*t^34+t^30+55*t^29+t^28+69*t^24+t^20+55* t^19+t^18+27*t^14+t^10+7*t^9+1)*(t-1)^2*(t^2+t+1)^2*(t^6+t^3+1)^2*(t+1)^2*x^42- t^140*(t+1)*(t^4-t^3+t^2-t+1)*(t^18+t^9+1)*(t^66+t^56+7*t^48+t^46+27*t^43+55*t^ 38+t^36+69*t^33+t^30+55*t^28+27*t^23+t^20+7*t^18+t^10+1)*(t-1)^2*(t^2+t+1)^2*(t ^6+t^3+1)^2*x^43-t^180*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^4*x^48+t^ 180*(t+1)*(t^2-t+1)*(t^6-t^3+1)*(t^18+t^9+1)^2*(t-1)^4*(t^2+t+1)^4*(t^6+t^3+1)^ 4*x^49) J[10, 2](t, x), equals 2 2 6 3 2 3 34 33 32 (1 - t (t + 1) (t + t + 1) (t + t + 1) %2 x + t (t + t + 2 t 31 30 29 28 27 26 25 24 23 + 2 t + 3 t + 3 t + 4 t + 4 t + 4 t + 3 t - 13 t - 104 t 22 21 20 19 18 17 16 - 354 t - 793 t - 1337 t - 1842 t - 2186 t - 2307 t - 2186 t 15 14 13 12 11 10 9 8 - 1842 t - 1337 t - 793 t - 354 t - 104 t - 13 t + 3 t + 4 t 7 6 5 4 3 2 4 6 2 38 + 4 t + 4 t + 3 t + 3 t + 2 t + 2 t + t + 1) x - t (t + 1) (t 37 36 35 34 33 32 31 30 29 + t + 2 t + 3 t + 4 t + 5 t + 7 t + 7 t + 8 t + 8 t 28 27 26 25 24 23 + 76 t + 495 t + 1859 t + 4915 t + 10164 t + 17429 t 22 21 20 19 18 17 + 25717 t + 33447 t + 38933 t + 40915 t + 38933 t + 33447 t 16 15 14 13 12 11 + 25717 t + 17429 t + 10164 t + 4915 t + 1859 t + 495 t 10 9 8 7 6 5 4 3 2 + 76 t + 8 t + 8 t + 7 t + 7 t + 5 t + 4 t + 3 t + 2 t + t + 1) 6 10 60 59 58 57 56 55 54 53 %2 x + t (t + t + 2 t + 3 t + 5 t + 6 t + 8 t + 9 t 52 51 50 49 48 47 46 + 11 t + 11 t - 114 t - 899 t - 3575 t - 10073 t - 22445 t 45 44 43 42 41 40 - 41849 t - 67489 t - 96148 t - 122707 t - 141560 t - 148134 t 39 38 37 36 35 34 - 139603 t - 114561 t - 72365 t - 13270 t + 60327 t + 142527 t 33 32 31 30 29 + 223814 t + 292830 t + 339074 t + 355333 t + 339074 t 28 27 26 25 24 23 + 292830 t + 223814 t + 142527 t + 60327 t - 13270 t - 72365 t 22 21 20 19 18 - 114561 t - 139603 t - 148134 t - 141560 t - 122707 t 17 16 15 14 13 12 - 96148 t - 67489 t - 41849 t - 22445 t - 10073 t - 3575 t 11 10 9 8 7 6 5 4 3 - 899 t - 114 t + 11 t + 11 t + 9 t + 8 t + 6 t + 5 t + 3 t 2 8 15 2 60 59 58 57 56 + 2 t + t + 1) x - t (t + 1) %2 (t + t + 2 t + 3 t + 5 t 55 54 53 52 51 50 49 48 + 6 t + 8 t + 9 t + 11 t + 11 t + 136 t + 934 t + 3698 t 47 46 45 44 43 42 + 10505 t + 23711 t + 44832 t + 73266 t + 105570 t + 135911 t 41 40 39 38 37 + 157663 t + 165328 t + 155744 t + 128041 t + 82657 t 36 35 34 33 32 + 20573 t - 56284 t - 143480 t - 232557 t - 311166 t 31 30 29 28 27 - 365642 t - 385171 t - 365642 t - 311166 t - 232557 t 26 25 24 23 22 21 - 143480 t - 56284 t + 20573 t + 82657 t + 128041 t + 155744 t 20 19 18 17 16 + 165328 t + 157663 t + 135911 t + 105570 t + 73266 t 15 14 13 12 11 10 9 + 44832 t + 23711 t + 10505 t + 3698 t + 934 t + 136 t + 11 t 8 7 6 5 4 3 2 10 21 78 + 11 t + 9 t + 8 t + 6 t + 5 t + 3 t + 2 t + t + 1) x + t (t 77 76 75 74 73 72 71 70 69 + t + 2 t + 3 t + 4 t + 5 t + 7 t + 7 t + 8 t + 8 t 68 67 66 65 64 63 - 77 t - 588 t - 2289 t - 6296 t - 13608 t - 24420 t 62 61 60 59 58 57 - 37557 t - 50478 t - 60009 t - 63525 t - 59941 t - 49990 t 56 55 54 53 52 51 - 35670 t - 19280 t - 2633 t + 13132 t + 27198 t + 38610 t 50 49 48 47 46 45 + 46182 t + 48850 t + 46157 t + 38435 t + 26690 t + 12519 t 44 43 42 41 40 39 - 1895 t - 14073 t - 22103 t - 25689 t - 26335 t - 26211 t 38 37 36 35 34 33 - 26335 t - 25689 t - 22103 t - 14073 t - 1895 t + 12519 t 32 31 30 29 28 27 + 26690 t + 38435 t + 46157 t + 48850 t + 46182 t + 38610 t 26 25 24 23 22 21 + 27198 t + 13132 t - 2633 t - 19280 t - 35670 t - 49990 t 20 19 18 17 16 15 - 59941 t - 63525 t - 60009 t - 50478 t - 37557 t - 24420 t 14 13 12 11 10 9 8 7 - 13608 t - 6296 t - 2289 t - 588 t - 77 t + 8 t + 8 t + 7 t 6 5 4 3 2 12 28 2 + 7 t + 5 t + 4 t + 3 t + 2 t + t + 1) x - t (t + 1) 4 2 54 53 52 51 50 49 48 (t - t + 1) %2 %1 (t + t + 2 t + 2 t + 3 t + 3 t + 4 t 47 46 45 44 43 42 41 40 + 4 t + 4 t + 3 t + 38 t + 232 t + 817 t + 2005 t + 3775 t 39 38 37 36 35 34 + 5754 t + 7329 t + 7929 t + 7329 t + 5754 t + 3758 t 33 32 31 30 29 28 27 + 1898 t + 459 t - 574 t - 1348 t - 1962 t - 2396 t - 2561 t 26 25 24 23 22 21 20 - 2396 t - 1962 t - 1348 t - 574 t + 459 t + 1898 t + 3758 t 19 18 17 16 15 14 + 5754 t + 7329 t + 7929 t + 7329 t + 5754 t + 3775 t 13 12 11 10 9 8 7 6 5 + 2005 t + 817 t + 232 t + 38 t + 3 t + 4 t + 4 t + 4 t + 3 t 4 3 2 14 36 28 27 26 25 24 23 + 3 t + 2 t + 2 t + t + 1) x + t (t + t + t + t + t + t 22 21 20 18 17 16 15 14 + t + t + t - 10 t - 45 t - 120 t - 210 t - 251 t 13 12 11 10 8 7 6 5 4 3 2 - 210 t - 120 t - 45 t - 10 t + t + t + t + t + t + t + t 2 2 2 4 2 2 2 16 + t + 1) (t + 1) %2 (t - t + 1) %1 x 45 2 3 3 4 2 3 3 18 / 2 - t (t + 1) %2 (t - t + 1) %1 x ) / (1 - (t + 1) %2 x / 2 2 6 3 2 28 27 26 25 - t (t + 1) (t + t + 1) (t + t + 1) %2 x + t (t + t + t + t 24 23 22 21 20 18 17 16 15 + t + t + t + t + t - 8 t - 43 t - 118 t - 208 t 14 13 12 11 10 8 7 6 5 4 - 250 t - 208 t - 118 t - 43 t - 8 t + t + t + t + t + t 3 2 3 3 34 33 32 31 30 29 + t + t + t + 1) x + t (t + t + 2 t + 2 t + 3 t + 3 t 28 27 26 25 24 23 22 21 + 4 t + 4 t + 4 t + 3 t - 13 t - 104 t - 354 t - 793 t 20 19 18 17 16 15 - 1337 t - 1842 t - 2186 t - 2307 t - 2186 t - 1842 t 14 13 12 11 10 9 8 7 - 1337 t - 793 t - 354 t - 104 t - 13 t + 3 t + 4 t + 4 t 6 5 4 3 2 4 3 2 34 33 + 4 t + 3 t + 3 t + 2 t + 2 t + t + 1) x - t (t + 1) (t + t 32 31 30 29 28 27 26 25 24 + 2 t + 2 t + 3 t + 3 t + 4 t + 4 t + 4 t + 3 t + 22 t 23 22 21 20 19 18 17 + 126 t + 461 t + 1210 t + 2436 t + 3911 t + 5142 t + 5623 t 16 15 14 13 12 11 10 + 5142 t + 3911 t + 2436 t + 1210 t + 461 t + 126 t + 22 t 9 8 7 6 5 4 3 2 5 + 3 t + 4 t + 4 t + 4 t + 3 t + 3 t + 2 t + 2 t + t + 1) %2 x - 6 2 38 37 36 35 34 33 32 31 t (t + 1) (t + t + 2 t + 3 t + 4 t + 5 t + 7 t + 7 t 30 29 28 27 26 25 24 + 8 t + 8 t + 76 t + 495 t + 1859 t + 4915 t + 10164 t 23 22 21 20 19 18 + 17429 t + 25717 t + 33447 t + 38933 t + 40915 t + 38933 t 17 16 15 14 13 12 + 33447 t + 25717 t + 17429 t + 10164 t + 4915 t + 1859 t 11 10 9 8 7 6 5 4 3 2 + 495 t + 76 t + 8 t + 8 t + 7 t + 7 t + 5 t + 4 t + 3 t + 2 t 6 6 58 57 56 55 54 53 52 + t + 1) %2 x + t (t + t + 2 t + 3 t + 4 t + 5 t + 7 t 51 50 49 48 47 46 45 44 + 7 t + 8 t + 8 t - 7 t - 98 t - 434 t - 1381 t - 3442 t 43 42 41 40 39 38 - 6993 t - 11873 t - 17138 t - 21272 t - 22847 t - 21245 t 37 36 35 34 33 32 - 16931 t - 10955 t - 3978 t + 4364 t + 15028 t + 28218 t 31 30 29 28 27 26 + 42109 t + 53021 t + 57190 t + 53021 t + 42109 t + 28218 t 25 24 23 22 21 20 + 15028 t + 4364 t - 3978 t - 10955 t - 16931 t - 21245 t 19 18 17 16 15 14 - 22847 t - 21272 t - 17138 t - 11873 t - 6993 t - 3442 t 13 12 11 10 9 8 7 6 5 - 1381 t - 434 t - 98 t - 7 t + 8 t + 8 t + 7 t + 7 t + 5 t 4 3 2 7 10 60 59 58 57 56 + 4 t + 3 t + 2 t + t + 1) x + t (t + t + 2 t + 3 t + 5 t 55 54 53 52 51 50 49 48 + 6 t + 8 t + 9 t + 11 t + 11 t - 114 t - 899 t - 3575 t 47 46 45 44 43 42 - 10073 t - 22445 t - 41849 t - 67489 t - 96148 t - 122707 t 41 40 39 38 37 - 141560 t - 148134 t - 139603 t - 114561 t - 72365 t 36 35 34 33 32 - 13270 t + 60327 t + 142527 t + 223814 t + 292830 t 31 30 29 28 27 + 339074 t + 355333 t + 339074 t + 292830 t + 223814 t 26 25 24 23 22 21 + 142527 t + 60327 t - 13270 t - 72365 t - 114561 t - 139603 t 20 19 18 17 16 15 - 148134 t - 141560 t - 122707 t - 96148 t - 67489 t - 41849 t 14 13 12 11 10 9 8 - 22445 t - 10073 t - 3575 t - 899 t - 114 t + 11 t + 11 t 7 6 5 4 3 2 8 10 2 + 9 t + 8 t + 6 t + 5 t + 3 t + 2 t + t + 1) x - t (t + 1) %2 ( 60 59 58 57 56 55 54 53 52 51 t + t + 2 t + 3 t + 5 t + 6 t + 8 t + 9 t + 11 t + 11 t 50 49 48 47 46 45 44 + 11 t + 24 t + 113 t + 445 t + 1386 t + 3442 t + 6988 t 43 42 41 40 39 38 + 11862 t + 17123 t + 21255 t + 22828 t + 21226 t + 16913 t 37 36 35 34 33 32 + 10939 t + 3965 t - 4374 t - 15036 t - 28223 t - 42112 t 31 30 29 28 27 26 - 53023 t - 57191 t - 53023 t - 42112 t - 28223 t - 15036 t 25 24 23 22 21 20 - 4374 t + 3965 t + 10939 t + 16913 t + 21226 t + 22828 t 19 18 17 16 15 14 + 21255 t + 17123 t + 11862 t + 6988 t + 3442 t + 1386 t 13 12 11 10 9 8 7 6 5 + 445 t + 113 t + 24 t + 11 t + 11 t + 11 t + 9 t + 8 t + 6 t 4 3 2 9 15 2 60 59 58 + 5 t + 3 t + 2 t + t + 1) x - t (t + 1) %2 (t + t + 2 t 57 56 55 54 53 52 51 50 + 3 t + 5 t + 6 t + 8 t + 9 t + 11 t + 11 t + 136 t 49 48 47 46 45 44 + 934 t + 3698 t + 10505 t + 23711 t + 44832 t + 73266 t 43 42 41 40 39 + 105570 t + 135911 t + 157663 t + 165328 t + 155744 t 38 37 36 35 34 33 + 128041 t + 82657 t + 20573 t - 56284 t - 143480 t - 232557 t 32 31 30 29 28 - 311166 t - 365642 t - 385171 t - 365642 t - 311166 t 27 26 25 24 23 22 - 232557 t - 143480 t - 56284 t + 20573 t + 82657 t + 128041 t 21 20 19 18 17 + 155744 t + 165328 t + 157663 t + 135911 t + 105570 t 16 15 14 13 12 11 + 73266 t + 44832 t + 23711 t + 10505 t + 3698 t + 934 t 10 9 8 7 6 5 4 3 2 + 136 t + 11 t + 11 t + 9 t + 8 t + 6 t + 5 t + 3 t + 2 t + t 10 15 80 79 78 77 76 75 74 73 + 1) x + t (t + t + 2 t + 3 t + 5 t + 6 t + 8 t + 9 t 72 71 70 69 68 67 66 65 + 11 t + 11 t + 11 t + 11 t + 10 t - 13 t - 120 t - 459 t 64 63 62 61 60 59 - 1211 t - 2440 t - 3919 t - 5152 t - 5633 t - 5139 t 58 57 56 55 54 53 - 3816 t - 1984 t + 293 t + 3438 t + 8082 t + 14325 t 52 51 50 49 48 47 + 21163 t + 26617 t + 28714 t + 26587 t + 20952 t + 13383 t 46 45 44 43 42 41 + 4934 t - 4837 t - 17341 t - 33090 t - 49955 t - 63330 t 40 39 38 37 36 35 - 68458 t - 63330 t - 49955 t - 33090 t - 17341 t - 4837 t 34 33 32 31 30 29 + 4934 t + 13383 t + 20952 t + 26587 t + 28714 t + 26617 t 28 27 26 25 24 23 + 21163 t + 14325 t + 8082 t + 3438 t + 293 t - 1984 t 22 21 20 19 18 17 - 3816 t - 5139 t - 5633 t - 5152 t - 3919 t - 2440 t 16 15 14 13 12 11 10 9 - 1211 t - 459 t - 120 t - 13 t + 10 t + 11 t + 11 t + 11 t 8 7 6 5 4 3 2 11 21 78 + 11 t + 9 t + 8 t + 6 t + 5 t + 3 t + 2 t + t + 1) x + t (t 77 76 75 74 73 72 71 70 69 + t + 2 t + 3 t + 4 t + 5 t + 7 t + 7 t + 8 t + 8 t 68 67 66 65 64 63 - 77 t - 588 t - 2289 t - 6296 t - 13608 t - 24420 t 62 61 60 59 58 57 - 37557 t - 50478 t - 60009 t - 63525 t - 59941 t - 49990 t 56 55 54 53 52 51 - 35670 t - 19280 t - 2633 t + 13132 t + 27198 t + 38610 t 50 49 48 47 46 45 + 46182 t + 48850 t + 46157 t + 38435 t + 26690 t + 12519 t 44 43 42 41 40 39 - 1895 t - 14073 t - 22103 t - 25689 t - 26335 t - 26211 t 38 37 36 35 34 33 - 26335 t - 25689 t - 22103 t - 14073 t - 1895 t + 12519 t 32 31 30 29 28 27 + 26690 t + 38435 t + 46157 t + 48850 t + 46182 t + 38610 t 26 25 24 23 22 21 + 27198 t + 13132 t - 2633 t - 19280 t - 35670 t - 49990 t 20 19 18 17 16 15 - 59941 t - 63525 t - 60009 t - 50478 t - 37557 t - 24420 t 14 13 12 11 10 9 8 7 - 13608 t - 6296 t - 2289 t - 588 t - 77 t + 8 t + 8 t + 7 t 6 5 4 3 2 12 21 2 78 + 7 t + 5 t + 4 t + 3 t + 2 t + t + 1) x - t (t + 1) %2 (t 77 76 75 74 73 72 71 70 69 + t + 2 t + 3 t + 4 t + 5 t + 7 t + 7 t + 8 t + 8 t 68 67 66 64 63 62 61 60 + 6 t + 5 t + 4 t - 2 t + 2 t + 33 t + 107 t + 196 t 59 58 57 56 55 54 53 + 237 t + 183 t + 4 t - 406 t - 1380 t - 3444 t - 7007 t 52 51 50 49 48 47 - 11950 t - 17363 t - 21676 t - 23334 t - 21648 t - 17155 t 46 45 44 43 42 41 - 11050 t - 4114 t + 3905 t + 13842 t + 25904 t + 38543 t 40 39 38 37 36 35 + 48492 t + 52303 t + 48492 t + 38543 t + 25904 t + 13842 t 34 33 32 31 30 29 + 3905 t - 4114 t - 11050 t - 17155 t - 21648 t - 23334 t 28 27 26 25 24 23 - 21676 t - 17363 t - 11950 t - 7007 t - 3444 t - 1380 t 22 21 20 19 18 17 16 15 - 406 t + 4 t + 183 t + 237 t + 196 t + 107 t + 33 t + 2 t 14 12 11 10 9 8 7 6 5 4 - 2 t + 4 t + 5 t + 6 t + 8 t + 8 t + 7 t + 7 t + 5 t + 4 t 3 2 13 28 2 4 2 54 53 + 3 t + 2 t + t + 1) x - t (t + 1) (t - t + 1) %2 %1 (t + t 52 51 50 49 48 47 46 45 44 + 2 t + 2 t + 3 t + 3 t + 4 t + 4 t + 4 t + 3 t + 38 t 43 42 41 40 39 38 37 + 232 t + 817 t + 2005 t + 3775 t + 5754 t + 7329 t + 7929 t 36 35 34 33 32 31 30 + 7329 t + 5754 t + 3758 t + 1898 t + 459 t - 574 t - 1348 t 29 28 27 26 25 24 - 1962 t - 2396 t - 2561 t - 2396 t - 1962 t - 1348 t 23 22 21 20 19 18 17 - 574 t + 459 t + 1898 t + 3758 t + 5754 t + 7329 t + 7929 t 16 15 14 13 12 11 10 + 7329 t + 5754 t + 3775 t + 2005 t + 817 t + 232 t + 38 t 9 8 7 6 5 4 3 2 14 28 + 3 t + 4 t + 4 t + 4 t + 3 t + 3 t + 2 t + 2 t + t + 1) x + t 4 2 74 73 72 71 70 69 68 67 (t - t + 1) (t + t + 2 t + 2 t + 3 t + 3 t + 4 t + 4 t 66 65 64 63 62 61 60 59 58 57 + 4 t + 3 t + 3 t + 2 t + 2 t + 2 t + 2 t + t + t - t 56 55 54 53 52 51 50 49 + t + t + 21 t + 126 t + 461 t + 1211 t + 2438 t + 3914 t 48 47 46 45 44 43 + 5146 t + 5623 t + 5146 t + 3914 t + 2438 t + 1211 t 42 41 40 39 38 37 36 + 461 t + 117 t - 23 t - 118 t - 208 t - 252 t - 208 t 35 34 33 32 31 30 29 - 118 t - 23 t + 117 t + 461 t + 1211 t + 2438 t + 3914 t 28 27 26 25 24 23 + 5146 t + 5623 t + 5146 t + 3914 t + 2438 t + 1211 t 22 21 20 19 18 17 16 15 14 13 + 461 t + 126 t + 21 t + t + t - t + t + t + 2 t + 2 t 12 11 10 9 8 7 6 5 4 3 + 2 t + 2 t + 3 t + 3 t + 4 t + 4 t + 4 t + 3 t + 3 t + 2 t 2 15 36 28 27 26 25 24 23 22 + 2 t + t + 1) %1 x + t (t + t + t + t + t + t + t 21 20 18 17 16 15 14 13 + t + t - 10 t - 45 t - 120 t - 210 t - 251 t - 210 t 12 11 10 8 7 6 5 4 3 2 - 120 t - 45 t - 10 t + t + t + t + t + t + t + t + t + 1) 2 2 2 4 2 2 2 16 36 2 48 47 46 45 (t + 1) %2 (t - t + 1) %1 x - t (t + 1) (t + t + t + t 44 43 42 41 40 34 28 27 26 25 + t + t + t + t + t + t - 8 t - 43 t - 118 t - 208 t 24 23 22 21 20 14 8 7 6 5 - 250 t - 208 t - 118 t - 43 t - 8 t + t + t + t + t + t 4 3 2 4 2 2 2 17 + t + t + t + t + 1) %2 (t - t + 1) %1 x 45 2 3 3 4 2 3 3 18 - t (t + 1) %2 (t - t + 1) %1 x + 45 4 16 12 8 4 2 2 2 4 2 3 3 19 t (t + 1) (t - t + t - t + 1) (t + 1) %2 (t - t + 1) %1 x ) 16 14 10 8 6 2 %1 := t + t - t - t - t + t + 1 8 6 4 2 %2 := t - t + t - t + 1 and in Maple format (1-t*(t^2+1)*(t^2+t+1)*(t^6+t^3+1)*(t^8-t^6+t^4-t^2+1)*x^2+t^3*(t^34+t^33+2*t^ 32+2*t^31+3*t^30+3*t^29+4*t^28+4*t^27+4*t^26+3*t^25-13*t^24-104*t^23-354*t^22-\ 793*t^21-1337*t^20-1842*t^19-2186*t^18-2307*t^17-2186*t^16-1842*t^15-1337*t^14-\ 793*t^13-354*t^12-104*t^11-13*t^10+3*t^9+4*t^8+4*t^7+4*t^6+3*t^5+3*t^4+2*t^3+2* t^2+t+1)*x^4-t^6*(t^2+1)*(t^38+t^37+2*t^36+3*t^35+4*t^34+5*t^33+7*t^32+7*t^31+8 *t^30+8*t^29+76*t^28+495*t^27+1859*t^26+4915*t^25+10164*t^24+17429*t^23+25717*t ^22+33447*t^21+38933*t^20+40915*t^19+38933*t^18+33447*t^17+25717*t^16+17429*t^ 15+10164*t^14+4915*t^13+1859*t^12+495*t^11+76*t^10+8*t^9+8*t^8+7*t^7+7*t^6+5*t^ 5+4*t^4+3*t^3+2*t^2+t+1)*(t^8-t^6+t^4-t^2+1)*x^6+t^10*(t^60+t^59+2*t^58+3*t^57+ 5*t^56+6*t^55+8*t^54+9*t^53+11*t^52+11*t^51-114*t^50-899*t^49-3575*t^48-10073*t ^47-22445*t^46-41849*t^45-67489*t^44-96148*t^43-122707*t^42-141560*t^41-148134* t^40-139603*t^39-114561*t^38-72365*t^37-13270*t^36+60327*t^35+142527*t^34+ 223814*t^33+292830*t^32+339074*t^31+355333*t^30+339074*t^29+292830*t^28+223814* t^27+142527*t^26+60327*t^25-13270*t^24-72365*t^23-114561*t^22-139603*t^21-\ 148134*t^20-141560*t^19-122707*t^18-96148*t^17-67489*t^16-41849*t^15-22445*t^14 -10073*t^13-3575*t^12-899*t^11-114*t^10+11*t^9+11*t^8+9*t^7+8*t^6+6*t^5+5*t^4+3 *t^3+2*t^2+t+1)*x^8-t^15*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^60+t^59+2*t^58+3*t^57+5 *t^56+6*t^55+8*t^54+9*t^53+11*t^52+11*t^51+136*t^50+934*t^49+3698*t^48+10505*t^ 47+23711*t^46+44832*t^45+73266*t^44+105570*t^43+135911*t^42+157663*t^41+165328* t^40+155744*t^39+128041*t^38+82657*t^37+20573*t^36-56284*t^35-143480*t^34-\ 232557*t^33-311166*t^32-365642*t^31-385171*t^30-365642*t^29-311166*t^28-232557* t^27-143480*t^26-56284*t^25+20573*t^24+82657*t^23+128041*t^22+155744*t^21+ 165328*t^20+157663*t^19+135911*t^18+105570*t^17+73266*t^16+44832*t^15+23711*t^ 14+10505*t^13+3698*t^12+934*t^11+136*t^10+11*t^9+11*t^8+9*t^7+8*t^6+6*t^5+5*t^4 +3*t^3+2*t^2+t+1)*x^10+t^21*(t^78+t^77+2*t^76+3*t^75+4*t^74+5*t^73+7*t^72+7*t^ 71+8*t^70+8*t^69-77*t^68-588*t^67-2289*t^66-6296*t^65-13608*t^64-24420*t^63-\ 37557*t^62-50478*t^61-60009*t^60-63525*t^59-59941*t^58-49990*t^57-35670*t^56-\ 19280*t^55-2633*t^54+13132*t^53+27198*t^52+38610*t^51+46182*t^50+48850*t^49+ 46157*t^48+38435*t^47+26690*t^46+12519*t^45-1895*t^44-14073*t^43-22103*t^42-\ 25689*t^41-26335*t^40-26211*t^39-26335*t^38-25689*t^37-22103*t^36-14073*t^35-\ 1895*t^34+12519*t^33+26690*t^32+38435*t^31+46157*t^30+48850*t^29+46182*t^28+ 38610*t^27+27198*t^26+13132*t^25-2633*t^24-19280*t^23-35670*t^22-49990*t^21-\ 59941*t^20-63525*t^19-60009*t^18-50478*t^17-37557*t^16-24420*t^15-13608*t^14-\ 6296*t^13-2289*t^12-588*t^11-77*t^10+8*t^9+8*t^8+7*t^7+7*t^6+5*t^5+4*t^4+3*t^3+ 2*t^2+t+1)*x^12-t^28*(t^2+1)*(t^4-t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^16+t^14-t^10-t^ 8-t^6+t^2+1)*(t^54+t^53+2*t^52+2*t^51+3*t^50+3*t^49+4*t^48+4*t^47+4*t^46+3*t^45 +38*t^44+232*t^43+817*t^42+2005*t^41+3775*t^40+5754*t^39+7329*t^38+7929*t^37+ 7329*t^36+5754*t^35+3758*t^34+1898*t^33+459*t^32-574*t^31-1348*t^30-1962*t^29-\ 2396*t^28-2561*t^27-2396*t^26-1962*t^25-1348*t^24-574*t^23+459*t^22+1898*t^21+ 3758*t^20+5754*t^19+7329*t^18+7929*t^17+7329*t^16+5754*t^15+3775*t^14+2005*t^13 +817*t^12+232*t^11+38*t^10+3*t^9+4*t^8+4*t^7+4*t^6+3*t^5+3*t^4+2*t^3+2*t^2+t+1) *x^14+t^36*(t^28+t^27+t^26+t^25+t^24+t^23+t^22+t^21+t^20-10*t^18-45*t^17-120*t^ 16-210*t^15-251*t^14-210*t^13-120*t^12-45*t^11-10*t^10+t^8+t^7+t^6+t^5+t^4+t^3+ t^2+t+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2+1)^2*(t^16+t^14-t^10-t^8-t^6+ t^2+1)^2*x^16-t^45*(t^2+1)^3*(t^8-t^6+t^4-t^2+1)^3*(t^4-t^2+1)^3*(t^16+t^14-t^ 10-t^8-t^6+t^2+1)^3*x^18)/(1-(t^2+1)*(t^8-t^6+t^4-t^2+1)*x-t*(t^2+1)*(t^2+t+1)* (t^6+t^3+1)*(t^8-t^6+t^4-t^2+1)*x^2+t*(t^28+t^27+t^26+t^25+t^24+t^23+t^22+t^21+ t^20-8*t^18-43*t^17-118*t^16-208*t^15-250*t^14-208*t^13-118*t^12-43*t^11-8*t^10 +t^8+t^7+t^6+t^5+t^4+t^3+t^2+t+1)*x^3+t^3*(t^34+t^33+2*t^32+2*t^31+3*t^30+3*t^ 29+4*t^28+4*t^27+4*t^26+3*t^25-13*t^24-104*t^23-354*t^22-793*t^21-1337*t^20-\ 1842*t^19-2186*t^18-2307*t^17-2186*t^16-1842*t^15-1337*t^14-793*t^13-354*t^12-\ 104*t^11-13*t^10+3*t^9+4*t^8+4*t^7+4*t^6+3*t^5+3*t^4+2*t^3+2*t^2+t+1)*x^4-t^3*( t^2+1)*(t^34+t^33+2*t^32+2*t^31+3*t^30+3*t^29+4*t^28+4*t^27+4*t^26+3*t^25+22*t^ 24+126*t^23+461*t^22+1210*t^21+2436*t^20+3911*t^19+5142*t^18+5623*t^17+5142*t^ 16+3911*t^15+2436*t^14+1210*t^13+461*t^12+126*t^11+22*t^10+3*t^9+4*t^8+4*t^7+4* t^6+3*t^5+3*t^4+2*t^3+2*t^2+t+1)*(t^8-t^6+t^4-t^2+1)*x^5-t^6*(t^2+1)*(t^38+t^37 +2*t^36+3*t^35+4*t^34+5*t^33+7*t^32+7*t^31+8*t^30+8*t^29+76*t^28+495*t^27+1859* t^26+4915*t^25+10164*t^24+17429*t^23+25717*t^22+33447*t^21+38933*t^20+40915*t^ 19+38933*t^18+33447*t^17+25717*t^16+17429*t^15+10164*t^14+4915*t^13+1859*t^12+ 495*t^11+76*t^10+8*t^9+8*t^8+7*t^7+7*t^6+5*t^5+4*t^4+3*t^3+2*t^2+t+1)*(t^8-t^6+ t^4-t^2+1)*x^6+t^6*(t^58+t^57+2*t^56+3*t^55+4*t^54+5*t^53+7*t^52+7*t^51+8*t^50+ 8*t^49-7*t^48-98*t^47-434*t^46-1381*t^45-3442*t^44-6993*t^43-11873*t^42-17138*t ^41-21272*t^40-22847*t^39-21245*t^38-16931*t^37-10955*t^36-3978*t^35+4364*t^34+ 15028*t^33+28218*t^32+42109*t^31+53021*t^30+57190*t^29+53021*t^28+42109*t^27+ 28218*t^26+15028*t^25+4364*t^24-3978*t^23-10955*t^22-16931*t^21-21245*t^20-\ 22847*t^19-21272*t^18-17138*t^17-11873*t^16-6993*t^15-3442*t^14-1381*t^13-434*t ^12-98*t^11-7*t^10+8*t^9+8*t^8+7*t^7+7*t^6+5*t^5+4*t^4+3*t^3+2*t^2+t+1)*x^7+t^ 10*(t^60+t^59+2*t^58+3*t^57+5*t^56+6*t^55+8*t^54+9*t^53+11*t^52+11*t^51-114*t^ 50-899*t^49-3575*t^48-10073*t^47-22445*t^46-41849*t^45-67489*t^44-96148*t^43-\ 122707*t^42-141560*t^41-148134*t^40-139603*t^39-114561*t^38-72365*t^37-13270*t^ 36+60327*t^35+142527*t^34+223814*t^33+292830*t^32+339074*t^31+355333*t^30+ 339074*t^29+292830*t^28+223814*t^27+142527*t^26+60327*t^25-13270*t^24-72365*t^ 23-114561*t^22-139603*t^21-148134*t^20-141560*t^19-122707*t^18-96148*t^17-67489 *t^16-41849*t^15-22445*t^14-10073*t^13-3575*t^12-899*t^11-114*t^10+11*t^9+11*t^ 8+9*t^7+8*t^6+6*t^5+5*t^4+3*t^3+2*t^2+t+1)*x^8-t^10*(t^2+1)*(t^8-t^6+t^4-t^2+1) *(t^60+t^59+2*t^58+3*t^57+5*t^56+6*t^55+8*t^54+9*t^53+11*t^52+11*t^51+11*t^50+ 24*t^49+113*t^48+445*t^47+1386*t^46+3442*t^45+6988*t^44+11862*t^43+17123*t^42+ 21255*t^41+22828*t^40+21226*t^39+16913*t^38+10939*t^37+3965*t^36-4374*t^35-\ 15036*t^34-28223*t^33-42112*t^32-53023*t^31-57191*t^30-53023*t^29-42112*t^28-\ 28223*t^27-15036*t^26-4374*t^25+3965*t^24+10939*t^23+16913*t^22+21226*t^21+ 22828*t^20+21255*t^19+17123*t^18+11862*t^17+6988*t^16+3442*t^15+1386*t^14+445*t ^13+113*t^12+24*t^11+11*t^10+11*t^9+11*t^8+9*t^7+8*t^6+6*t^5+5*t^4+3*t^3+2*t^2+ t+1)*x^9-t^15*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^60+t^59+2*t^58+3*t^57+5*t^56+6*t^ 55+8*t^54+9*t^53+11*t^52+11*t^51+136*t^50+934*t^49+3698*t^48+10505*t^47+23711*t ^46+44832*t^45+73266*t^44+105570*t^43+135911*t^42+157663*t^41+165328*t^40+ 155744*t^39+128041*t^38+82657*t^37+20573*t^36-56284*t^35-143480*t^34-232557*t^ 33-311166*t^32-365642*t^31-385171*t^30-365642*t^29-311166*t^28-232557*t^27-\ 143480*t^26-56284*t^25+20573*t^24+82657*t^23+128041*t^22+155744*t^21+165328*t^ 20+157663*t^19+135911*t^18+105570*t^17+73266*t^16+44832*t^15+23711*t^14+10505*t ^13+3698*t^12+934*t^11+136*t^10+11*t^9+11*t^8+9*t^7+8*t^6+6*t^5+5*t^4+3*t^3+2*t ^2+t+1)*x^10+t^15*(t^80+t^79+2*t^78+3*t^77+5*t^76+6*t^75+8*t^74+9*t^73+11*t^72+ 11*t^71+11*t^70+11*t^69+10*t^68-13*t^67-120*t^66-459*t^65-1211*t^64-2440*t^63-\ 3919*t^62-5152*t^61-5633*t^60-5139*t^59-3816*t^58-1984*t^57+293*t^56+3438*t^55+ 8082*t^54+14325*t^53+21163*t^52+26617*t^51+28714*t^50+26587*t^49+20952*t^48+ 13383*t^47+4934*t^46-4837*t^45-17341*t^44-33090*t^43-49955*t^42-63330*t^41-\ 68458*t^40-63330*t^39-49955*t^38-33090*t^37-17341*t^36-4837*t^35+4934*t^34+ 13383*t^33+20952*t^32+26587*t^31+28714*t^30+26617*t^29+21163*t^28+14325*t^27+ 8082*t^26+3438*t^25+293*t^24-1984*t^23-3816*t^22-5139*t^21-5633*t^20-5152*t^19-\ 3919*t^18-2440*t^17-1211*t^16-459*t^15-120*t^14-13*t^13+10*t^12+11*t^11+11*t^10 +11*t^9+11*t^8+9*t^7+8*t^6+6*t^5+5*t^4+3*t^3+2*t^2+t+1)*x^11+t^21*(t^78+t^77+2* t^76+3*t^75+4*t^74+5*t^73+7*t^72+7*t^71+8*t^70+8*t^69-77*t^68-588*t^67-2289*t^ 66-6296*t^65-13608*t^64-24420*t^63-37557*t^62-50478*t^61-60009*t^60-63525*t^59-\ 59941*t^58-49990*t^57-35670*t^56-19280*t^55-2633*t^54+13132*t^53+27198*t^52+ 38610*t^51+46182*t^50+48850*t^49+46157*t^48+38435*t^47+26690*t^46+12519*t^45-\ 1895*t^44-14073*t^43-22103*t^42-25689*t^41-26335*t^40-26211*t^39-26335*t^38-\ 25689*t^37-22103*t^36-14073*t^35-1895*t^34+12519*t^33+26690*t^32+38435*t^31+ 46157*t^30+48850*t^29+46182*t^28+38610*t^27+27198*t^26+13132*t^25-2633*t^24-\ 19280*t^23-35670*t^22-49990*t^21-59941*t^20-63525*t^19-60009*t^18-50478*t^17-\ 37557*t^16-24420*t^15-13608*t^14-6296*t^13-2289*t^12-588*t^11-77*t^10+8*t^9+8*t ^8+7*t^7+7*t^6+5*t^5+4*t^4+3*t^3+2*t^2+t+1)*x^12-t^21*(t^2+1)*(t^8-t^6+t^4-t^2+ 1)*(t^78+t^77+2*t^76+3*t^75+4*t^74+5*t^73+7*t^72+7*t^71+8*t^70+8*t^69+6*t^68+5* t^67+4*t^66-2*t^64+2*t^63+33*t^62+107*t^61+196*t^60+237*t^59+183*t^58+4*t^57-\ 406*t^56-1380*t^55-3444*t^54-7007*t^53-11950*t^52-17363*t^51-21676*t^50-23334*t ^49-21648*t^48-17155*t^47-11050*t^46-4114*t^45+3905*t^44+13842*t^43+25904*t^42+ 38543*t^41+48492*t^40+52303*t^39+48492*t^38+38543*t^37+25904*t^36+13842*t^35+ 3905*t^34-4114*t^33-11050*t^32-17155*t^31-21648*t^30-23334*t^29-21676*t^28-\ 17363*t^27-11950*t^26-7007*t^25-3444*t^24-1380*t^23-406*t^22+4*t^21+183*t^20+ 237*t^19+196*t^18+107*t^17+33*t^16+2*t^15-2*t^14+4*t^12+5*t^11+6*t^10+8*t^9+8*t ^8+7*t^7+7*t^6+5*t^5+4*t^4+3*t^3+2*t^2+t+1)*x^13-t^28*(t^2+1)*(t^4-t^2+1)*(t^8- t^6+t^4-t^2+1)*(t^16+t^14-t^10-t^8-t^6+t^2+1)*(t^54+t^53+2*t^52+2*t^51+3*t^50+3 *t^49+4*t^48+4*t^47+4*t^46+3*t^45+38*t^44+232*t^43+817*t^42+2005*t^41+3775*t^40 +5754*t^39+7329*t^38+7929*t^37+7329*t^36+5754*t^35+3758*t^34+1898*t^33+459*t^32 -574*t^31-1348*t^30-1962*t^29-2396*t^28-2561*t^27-2396*t^26-1962*t^25-1348*t^24 -574*t^23+459*t^22+1898*t^21+3758*t^20+5754*t^19+7329*t^18+7929*t^17+7329*t^16+ 5754*t^15+3775*t^14+2005*t^13+817*t^12+232*t^11+38*t^10+3*t^9+4*t^8+4*t^7+4*t^6 +3*t^5+3*t^4+2*t^3+2*t^2+t+1)*x^14+t^28*(t^4-t^2+1)*(t^74+t^73+2*t^72+2*t^71+3* t^70+3*t^69+4*t^68+4*t^67+4*t^66+3*t^65+3*t^64+2*t^63+2*t^62+2*t^61+2*t^60+t^59 +t^58-t^57+t^56+t^55+21*t^54+126*t^53+461*t^52+1211*t^51+2438*t^50+3914*t^49+ 5146*t^48+5623*t^47+5146*t^46+3914*t^45+2438*t^44+1211*t^43+461*t^42+117*t^41-\ 23*t^40-118*t^39-208*t^38-252*t^37-208*t^36-118*t^35-23*t^34+117*t^33+461*t^32+ 1211*t^31+2438*t^30+3914*t^29+5146*t^28+5623*t^27+5146*t^26+3914*t^25+2438*t^24 +1211*t^23+461*t^22+126*t^21+21*t^20+t^19+t^18-t^17+t^16+t^15+2*t^14+2*t^13+2*t ^12+2*t^11+3*t^10+3*t^9+4*t^8+4*t^7+4*t^6+3*t^5+3*t^4+2*t^3+2*t^2+t+1)*(t^16+t^ 14-t^10-t^8-t^6+t^2+1)*x^15+t^36*(t^28+t^27+t^26+t^25+t^24+t^23+t^22+t^21+t^20-\ 10*t^18-45*t^17-120*t^16-210*t^15-251*t^14-210*t^13-120*t^12-45*t^11-10*t^10+t^ 8+t^7+t^6+t^5+t^4+t^3+t^2+t+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2+1)^2*(t ^16+t^14-t^10-t^8-t^6+t^2+1)^2*x^16-t^36*(t^2+1)*(t^48+t^47+t^46+t^45+t^44+t^43 +t^42+t^41+t^40+t^34-8*t^28-43*t^27-118*t^26-208*t^25-250*t^24-208*t^23-118*t^ 22-43*t^21-8*t^20+t^14+t^8+t^7+t^6+t^5+t^4+t^3+t^2+t+1)*(t^8-t^6+t^4-t^2+1)*(t^ 4-t^2+1)^2*(t^16+t^14-t^10-t^8-t^6+t^2+1)^2*x^17-t^45*(t^2+1)^3*(t^8-t^6+t^4-t^ 2+1)^3*(t^4-t^2+1)^3*(t^16+t^14-t^10-t^8-t^6+t^2+1)^3*x^18+t^45*(t^4+1)*(t^16-t ^12+t^8-t^4+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2+1)^3*(t^16+t^14-t^10-t^ 8-t^6+t^2+1)^3*x^19) J[10, 3](t, x), equals 2 2 2 2 6 3 6 3 3 (1 - t (t + 1) (t + t + 1) (t - t + 1) %2 (t + t + 1) (t - t + 1) x + 6 48 46 44 42 40 38 36 34 t (t + t + 2 t + 2 t + 3 t - 13 t - 102 t - 352 t 32 30 28 26 24 22 - 790 t - 1335 t - 1838 t - 2183 t - 2303 t - 2183 t 20 18 16 14 12 10 8 6 - 1838 t - 1335 t - 790 t - 352 t - 102 t - 13 t + 3 t + 2 t 4 2 6 12 2 56 54 52 50 48 + 2 t + t + 1) x - t (t + 1) %2 (t + t + 2 t + 3 t + 4 t 46 44 42 40 38 36 + 73 t + 495 t + 1859 t + 4918 t + 10168 t + 17435 t 34 32 30 28 26 24 + 25723 t + 33455 t + 38940 t + 40923 t + 38940 t + 33455 t 22 20 18 16 14 12 + 25723 t + 17435 t + 10168 t + 4918 t + 1859 t + 495 t 10 8 6 4 2 9 20 80 78 76 + 73 t + 4 t + 3 t + 2 t + t + 1) x + t (t + t + 2 t 74 72 70 68 66 64 62 + 3 t + 5 t - 120 t - 902 t - 3577 t - 10071 t - 22442 t 60 58 56 54 52 50 - 41593 t - 65525 t - 87992 t - 98914 t - 87329 t - 46323 t 48 46 44 42 40 + 22514 t + 107604 t + 190185 t + 250038 t + 271877 t 38 36 34 32 30 28 + 250038 t + 190185 t + 107604 t + 22514 t - 46323 t - 87329 t 26 24 22 20 18 16 - 98914 t - 87992 t - 65525 t - 41593 t - 22442 t - 10071 t 14 12 10 8 6 4 2 12 30 - 3577 t - 902 t - 120 t + 5 t + 3 t + 2 t + t + 1) x - t 2 80 78 76 74 72 70 68 (t + 1) %2 (t + t + 2 t + 3 t + 5 t + 130 t + 931 t 66 64 62 60 58 56 + 3696 t + 10507 t + 23714 t + 44588 t + 71354 t + 97710 t 54 52 50 48 46 44 + 113008 t + 104982 t + 64597 t - 8593 t - 103454 t - 198788 t 42 40 38 36 34 - 269600 t - 295765 t - 269600 t - 198788 t - 103454 t 32 30 28 26 24 22 - 8593 t + 64597 t + 104982 t + 113008 t + 97710 t + 71354 t 20 18 16 14 12 10 8 + 44588 t + 23714 t + 10507 t + 3696 t + 931 t + 130 t + 5 t 6 4 2 15 42 96 94 92 90 88 + 3 t + 2 t + t + 1) x + t (t + t + 2 t + 3 t + 4 t 86 84 82 80 78 76 - 80 t - 588 t - 2289 t - 6293 t - 13604 t - 24346 t 74 72 70 68 66 64 - 37063 t - 48583 t - 54862 t - 52542 t - 40684 t - 21753 t 62 60 58 56 54 52 - 1157 t + 14931 t + 22364 t + 20819 t + 13406 t + 4610 t 50 48 46 44 42 40 - 1913 t - 4253 t - 1913 t + 4610 t + 13406 t + 20819 t 38 36 34 32 30 28 + 22364 t + 14931 t - 1157 t - 21753 t - 40684 t - 52542 t 26 24 22 20 18 16 - 54862 t - 48583 t - 37063 t - 24346 t - 13604 t - 6293 t 14 12 10 8 6 4 2 18 56 - 2289 t - 588 t - 80 t + 4 t + 3 t + 2 t + t + 1) x - t 2 4 2 68 66 64 62 60 58 (t + 1) (t - t + 1) %2 %1 (t + t + 2 t + 2 t + 3 t + 38 t 56 54 52 50 48 46 44 + 234 t + 819 t + 2008 t + 3777 t + 5741 t + 7225 t + 7575 t 42 40 38 36 34 32 30 + 6526 t + 4372 t + 1847 t - 162 t - 931 t - 162 t + 1847 t 28 26 24 22 20 18 + 4372 t + 6526 t + 7575 t + 7225 t + 5741 t + 3777 t 16 14 12 10 8 6 4 2 21 + 2008 t + 819 t + 234 t + 38 t + 3 t + 2 t + 2 t + t + 1) x 72 36 34 32 30 28 26 24 22 20 + t (t + t + t + t + t - 9 t - 44 t - 119 t - 209 t 18 16 14 12 10 8 6 4 2 - 251 t - 209 t - 119 t - 44 t - 9 t + t + t + t + t + 1) 2 2 2 4 2 2 2 24 (t + 1) %2 (t - t + 1) %1 x 90 2 3 3 4 2 3 3 27 / 2 - t (t + 1) %2 (t - t + 1) %1 x ) / (1 - (t + 1) %2 x / 2 2 2 2 6 3 6 3 3 - t (t + 1) (t + t + 1) (t - t + 1) %2 (t + t + 1) (t - t + 1) x 2 36 34 32 30 28 26 24 22 20 + t (t + t + t + t + t - 7 t - 42 t - 117 t - 207 t 18 16 14 12 10 8 6 4 2 4 - 250 t - 207 t - 117 t - 42 t - 7 t + t + t + t + t + 1) x 6 48 46 44 42 40 38 36 34 + t (t + t + 2 t + 2 t + 3 t - 13 t - 102 t - 352 t 32 30 28 26 24 22 - 790 t - 1335 t - 1838 t - 2183 t - 2303 t - 2183 t 20 18 16 14 12 10 8 6 - 1838 t - 1335 t - 790 t - 352 t - 102 t - 13 t + 3 t + 2 t 4 2 6 6 2 48 46 44 42 40 + 2 t + t + 1) x - t (t + 1) %2 (t + t + 2 t + 2 t + 3 t 38 36 34 32 30 28 26 + 22 t + 128 t + 463 t + 1213 t + 2438 t + 3915 t + 5145 t 24 22 20 18 16 14 12 + 5627 t + 5145 t + 3915 t + 2438 t + 1213 t + 463 t + 128 t 10 8 6 4 2 7 12 2 56 54 + 22 t + 3 t + 2 t + 2 t + t + 1) x - t (t + 1) %2 (t + t 52 50 48 46 44 42 40 + 2 t + 3 t + 4 t + 73 t + 495 t + 1859 t + 4918 t 38 36 34 32 30 28 + 10168 t + 17435 t + 25723 t + 33455 t + 38940 t + 40923 t 26 24 22 20 18 16 + 38940 t + 33455 t + 25723 t + 17435 t + 10168 t + 4918 t 14 12 10 8 6 4 2 9 12 76 + 1859 t + 495 t + 73 t + 4 t + 3 t + 2 t + t + 1) x + t (t 74 72 70 68 66 64 62 60 + t + 2 t + 3 t + 4 t - 10 t - 98 t - 434 t - 1378 t 58 56 54 52 50 48 - 3438 t - 6960 t - 11660 t - 16212 t - 18250 t - 15033 t 46 44 42 40 38 36 - 4871 t + 11417 t + 29899 t + 44655 t + 50298 t + 44655 t 34 32 30 28 26 24 + 29899 t + 11417 t - 4871 t - 15033 t - 18250 t - 16212 t 22 20 18 16 14 12 10 - 11660 t - 6960 t - 3438 t - 1378 t - 434 t - 98 t - 10 t 8 6 4 2 10 20 80 78 76 74 + 4 t + 3 t + 2 t + t + 1) x + t (t + t + 2 t + 3 t 72 70 68 66 64 62 60 + 5 t - 120 t - 902 t - 3577 t - 10071 t - 22442 t - 41593 t 58 56 54 52 50 48 - 65525 t - 87992 t - 98914 t - 87329 t - 46323 t + 22514 t 46 44 42 40 38 + 107604 t + 190185 t + 250038 t + 271877 t + 250038 t 36 34 32 30 28 26 + 190185 t + 107604 t + 22514 t - 46323 t - 87329 t - 98914 t 24 22 20 18 16 14 - 87992 t - 65525 t - 41593 t - 22442 t - 10071 t - 3577 t 12 10 8 6 4 2 12 20 2 - 902 t - 120 t + 5 t + 3 t + 2 t + t + 1) x - t (t + 1) %2 ( 80 78 76 74 72 70 68 66 64 t + t + 2 t + 3 t + 5 t + 5 t + 21 t + 111 t + 447 t 62 60 58 56 54 52 + 1389 t + 3448 t + 6966 t + 11662 t + 16210 t + 18244 t 50 48 46 44 42 40 + 15022 t + 4858 t - 11433 t - 29917 t - 44674 t - 50315 t 38 36 34 32 30 28 - 44674 t - 29917 t - 11433 t + 4858 t + 15022 t + 18244 t 26 24 22 20 18 16 + 16210 t + 11662 t + 6966 t + 3448 t + 1389 t + 447 t 14 12 10 8 6 4 2 13 30 + 111 t + 21 t + 5 t + 5 t + 3 t + 2 t + t + 1) x - t 2 80 78 76 74 72 70 68 (t + 1) %2 (t + t + 2 t + 3 t + 5 t + 130 t + 931 t 66 64 62 60 58 56 + 3696 t + 10507 t + 23714 t + 44588 t + 71354 t + 97710 t 54 52 50 48 46 44 + 113008 t + 104982 t + 64597 t - 8593 t - 103454 t - 198788 t 42 40 38 36 34 - 269600 t - 295765 t - 269600 t - 198788 t - 103454 t 32 30 28 26 24 22 - 8593 t + 64597 t + 104982 t + 113008 t + 97710 t + 71354 t 20 18 16 14 12 10 8 + 44588 t + 23714 t + 10507 t + 3696 t + 931 t + 130 t + 5 t 6 4 2 15 30 100 98 96 94 92 + 3 t + 2 t + t + 1) x + t (t + t + 2 t + 3 t + 5 t 90 88 86 84 82 80 78 76 + 5 t + 8 t + 8 t - 11 t - 117 t - 452 t - 1191 t - 2327 t 74 72 70 68 66 64 - 3453 t - 3636 t - 1728 t + 3032 t + 10217 t + 17759 t 62 60 58 56 54 52 + 22126 t + 19514 t + 7653 t - 12302 t - 35255 t - 53625 t 50 48 46 44 42 40 - 60656 t - 53625 t - 35255 t - 12302 t + 7653 t + 19514 t 38 36 34 32 30 28 + 22126 t + 17759 t + 10217 t + 3032 t - 1728 t - 3636 t 26 24 22 20 18 16 14 - 3453 t - 2327 t - 1191 t - 452 t - 117 t - 11 t + 8 t 12 10 8 6 4 2 16 42 96 94 + 8 t + 5 t + 5 t + 3 t + 2 t + t + 1) x + t (t + t 92 90 88 86 84 82 80 + 2 t + 3 t + 4 t - 80 t - 588 t - 2289 t - 6293 t 78 76 74 72 70 68 - 13604 t - 24346 t - 37063 t - 48583 t - 54862 t - 52542 t 66 64 62 60 58 56 - 40684 t - 21753 t - 1157 t + 14931 t + 22364 t + 20819 t 54 52 50 48 46 44 + 13406 t + 4610 t - 1913 t - 4253 t - 1913 t + 4610 t 42 40 38 36 34 32 + 13406 t + 20819 t + 22364 t + 14931 t - 1157 t - 21753 t 30 28 26 24 22 20 - 40684 t - 52542 t - 54862 t - 48583 t - 37063 t - 24346 t 18 16 14 12 10 8 6 4 - 13604 t - 6293 t - 2289 t - 588 t - 80 t + 4 t + 3 t + 2 t 2 18 42 2 96 94 92 90 88 86 + t + 1) x - t (t + 1) %2 (t + t + 2 t + 3 t + 4 t + 3 t 84 82 80 78 76 74 72 70 + 5 t + 4 t + 3 t + 2 t - 5 t - 64 t - 324 t - 1179 t 68 66 64 62 60 58 - 3197 t - 6778 t - 11633 t - 16432 t - 18786 t - 15997 t 56 54 52 50 48 46 - 6470 t + 8875 t + 26259 t + 40121 t + 45427 t + 40121 t 44 42 40 38 36 34 + 26259 t + 8875 t - 6470 t - 15997 t - 18786 t - 16432 t 32 30 28 26 24 22 20 - 11633 t - 6778 t - 3197 t - 1179 t - 324 t - 64 t - 5 t 18 16 14 12 10 8 6 4 2 19 + 2 t + 3 t + 4 t + 5 t + 3 t + 4 t + 3 t + 2 t + t + 1) x 56 2 4 2 68 66 64 62 60 - t (t + 1) (t - t + 1) %2 %1 (t + t + 2 t + 2 t + 3 t 58 56 54 52 50 48 46 + 38 t + 234 t + 819 t + 2008 t + 3777 t + 5741 t + 7225 t 44 42 40 38 36 34 32 + 7575 t + 6526 t + 4372 t + 1847 t - 162 t - 931 t - 162 t 30 28 26 24 22 20 + 1847 t + 4372 t + 6526 t + 7575 t + 7225 t + 5741 t 18 16 14 12 10 8 6 4 + 3777 t + 2008 t + 819 t + 234 t + 38 t + 3 t + 2 t + 2 t 2 21 56 4 2 88 86 84 82 80 + t + 1) x + t (t - t + 1) (t + t + 2 t + 2 t + 3 t 78 76 74 72 70 68 66 64 + 3 t + 4 t + 4 t + 5 t + 4 t + 24 t + 128 t + 462 t 62 60 58 56 54 52 + 1213 t + 2440 t + 3915 t + 5147 t + 5623 t + 5138 t 50 48 46 44 42 40 + 3871 t + 2340 t + 1128 t + 670 t + 1128 t + 2340 t 38 36 34 32 30 28 + 3871 t + 5138 t + 5623 t + 5147 t + 3915 t + 2440 t 26 24 22 20 18 16 14 12 + 1213 t + 462 t + 128 t + 24 t + 4 t + 5 t + 4 t + 4 t 10 8 6 4 2 22 72 36 34 32 30 + 3 t + 3 t + 2 t + 2 t + t + 1) %1 x + t (t + t + t + t 28 26 24 22 20 18 16 14 + t - 9 t - 44 t - 119 t - 209 t - 251 t - 209 t - 119 t 12 10 8 6 4 2 2 2 2 4 2 2 2 - 44 t - 9 t + t + t + t + t + 1) (t + 1) %2 (t - t + 1) %1 24 72 52 50 48 46 44 42 40 38 x - t %2 (t - t + 2 t - 2 t + 3 t - 3 t + 4 t - 4 t 36 34 32 30 28 26 24 22 + 5 t - 5 t - 3 t - 32 t - 51 t - 74 t - 51 t - 32 t 20 18 16 14 12 10 8 6 4 2 - 3 t - 5 t + 5 t - 4 t + 4 t - 3 t + 3 t - 2 t + 2 t - t 4 2 2 2 2 3 25 + 1) (t - t + 1) %1 (t + 1) x 90 2 3 3 4 2 3 3 27 - t (t + 1) %2 (t - t + 1) %1 x + 90 4 16 12 8 4 2 2 2 4 2 3 3 28 t (t + 1) (t - t + t - t + 1) (t + 1) %2 (t - t + 1) %1 x ) 16 14 10 8 6 2 %1 := t + t - t - t - t + t + 1 8 6 4 2 %2 := t - t + t - t + 1 and in Maple format (1-t^2*(t^2+1)*(t^2+t+1)*(t^2-t+1)*(t^8-t^6+t^4-t^2+1)*(t^6+t^3+1)*(t^6-t^3+1)* x^3+t^6*(t^48+t^46+2*t^44+2*t^42+3*t^40-13*t^38-102*t^36-352*t^34-790*t^32-1335 *t^30-1838*t^28-2183*t^26-2303*t^24-2183*t^22-1838*t^20-1335*t^18-790*t^16-352* t^14-102*t^12-13*t^10+3*t^8+2*t^6+2*t^4+t^2+1)*x^6-t^12*(t^2+1)*(t^8-t^6+t^4-t^ 2+1)*(t^56+t^54+2*t^52+3*t^50+4*t^48+73*t^46+495*t^44+1859*t^42+4918*t^40+10168 *t^38+17435*t^36+25723*t^34+33455*t^32+38940*t^30+40923*t^28+38940*t^26+33455*t ^24+25723*t^22+17435*t^20+10168*t^18+4918*t^16+1859*t^14+495*t^12+73*t^10+4*t^8 +3*t^6+2*t^4+t^2+1)*x^9+t^20*(t^80+t^78+2*t^76+3*t^74+5*t^72-120*t^70-902*t^68-\ 3577*t^66-10071*t^64-22442*t^62-41593*t^60-65525*t^58-87992*t^56-98914*t^54-\ 87329*t^52-46323*t^50+22514*t^48+107604*t^46+190185*t^44+250038*t^42+271877*t^ 40+250038*t^38+190185*t^36+107604*t^34+22514*t^32-46323*t^30-87329*t^28-98914*t ^26-87992*t^24-65525*t^22-41593*t^20-22442*t^18-10071*t^16-3577*t^14-902*t^12-\ 120*t^10+5*t^8+3*t^6+2*t^4+t^2+1)*x^12-t^30*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^80+t ^78+2*t^76+3*t^74+5*t^72+130*t^70+931*t^68+3696*t^66+10507*t^64+23714*t^62+ 44588*t^60+71354*t^58+97710*t^56+113008*t^54+104982*t^52+64597*t^50-8593*t^48-\ 103454*t^46-198788*t^44-269600*t^42-295765*t^40-269600*t^38-198788*t^36-103454* t^34-8593*t^32+64597*t^30+104982*t^28+113008*t^26+97710*t^24+71354*t^22+44588*t ^20+23714*t^18+10507*t^16+3696*t^14+931*t^12+130*t^10+5*t^8+3*t^6+2*t^4+t^2+1)* x^15+t^42*(t^96+t^94+2*t^92+3*t^90+4*t^88-80*t^86-588*t^84-2289*t^82-6293*t^80-\ 13604*t^78-24346*t^76-37063*t^74-48583*t^72-54862*t^70-52542*t^68-40684*t^66-\ 21753*t^64-1157*t^62+14931*t^60+22364*t^58+20819*t^56+13406*t^54+4610*t^52-1913 *t^50-4253*t^48-1913*t^46+4610*t^44+13406*t^42+20819*t^40+22364*t^38+14931*t^36 -1157*t^34-21753*t^32-40684*t^30-52542*t^28-54862*t^26-48583*t^24-37063*t^22-\ 24346*t^20-13604*t^18-6293*t^16-2289*t^14-588*t^12-80*t^10+4*t^8+3*t^6+2*t^4+t^ 2+1)*x^18-t^56*(t^2+1)*(t^4-t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^16+t^14-t^10-t^8-t^6+ t^2+1)*(t^68+t^66+2*t^64+2*t^62+3*t^60+38*t^58+234*t^56+819*t^54+2008*t^52+3777 *t^50+5741*t^48+7225*t^46+7575*t^44+6526*t^42+4372*t^40+1847*t^38-162*t^36-931* t^34-162*t^32+1847*t^30+4372*t^28+6526*t^26+7575*t^24+7225*t^22+5741*t^20+3777* t^18+2008*t^16+819*t^14+234*t^12+38*t^10+3*t^8+2*t^6+2*t^4+t^2+1)*x^21+t^72*(t^ 36+t^34+t^32+t^30+t^28-9*t^26-44*t^24-119*t^22-209*t^20-251*t^18-209*t^16-119*t ^14-44*t^12-9*t^10+t^8+t^6+t^4+t^2+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2+ 1)^2*(t^16+t^14-t^10-t^8-t^6+t^2+1)^2*x^24-t^90*(t^2+1)^3*(t^8-t^6+t^4-t^2+1)^3 *(t^4-t^2+1)^3*(t^16+t^14-t^10-t^8-t^6+t^2+1)^3*x^27)/(1-(t^2+1)*(t^8-t^6+t^4-t ^2+1)*x-t^2*(t^2+1)*(t^2+t+1)*(t^2-t+1)*(t^8-t^6+t^4-t^2+1)*(t^6+t^3+1)*(t^6-t^ 3+1)*x^3+t^2*(t^36+t^34+t^32+t^30+t^28-7*t^26-42*t^24-117*t^22-207*t^20-250*t^ 18-207*t^16-117*t^14-42*t^12-7*t^10+t^8+t^6+t^4+t^2+1)*x^4+t^6*(t^48+t^46+2*t^ 44+2*t^42+3*t^40-13*t^38-102*t^36-352*t^34-790*t^32-1335*t^30-1838*t^28-2183*t^ 26-2303*t^24-2183*t^22-1838*t^20-1335*t^18-790*t^16-352*t^14-102*t^12-13*t^10+3 *t^8+2*t^6+2*t^4+t^2+1)*x^6-t^6*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^48+t^46+2*t^44+2 *t^42+3*t^40+22*t^38+128*t^36+463*t^34+1213*t^32+2438*t^30+3915*t^28+5145*t^26+ 5627*t^24+5145*t^22+3915*t^20+2438*t^18+1213*t^16+463*t^14+128*t^12+22*t^10+3*t ^8+2*t^6+2*t^4+t^2+1)*x^7-t^12*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^56+t^54+2*t^52+3* t^50+4*t^48+73*t^46+495*t^44+1859*t^42+4918*t^40+10168*t^38+17435*t^36+25723*t^ 34+33455*t^32+38940*t^30+40923*t^28+38940*t^26+33455*t^24+25723*t^22+17435*t^20 +10168*t^18+4918*t^16+1859*t^14+495*t^12+73*t^10+4*t^8+3*t^6+2*t^4+t^2+1)*x^9+t ^12*(t^76+t^74+2*t^72+3*t^70+4*t^68-10*t^66-98*t^64-434*t^62-1378*t^60-3438*t^ 58-6960*t^56-11660*t^54-16212*t^52-18250*t^50-15033*t^48-4871*t^46+11417*t^44+ 29899*t^42+44655*t^40+50298*t^38+44655*t^36+29899*t^34+11417*t^32-4871*t^30-\ 15033*t^28-18250*t^26-16212*t^24-11660*t^22-6960*t^20-3438*t^18-1378*t^16-434*t ^14-98*t^12-10*t^10+4*t^8+3*t^6+2*t^4+t^2+1)*x^10+t^20*(t^80+t^78+2*t^76+3*t^74 +5*t^72-120*t^70-902*t^68-3577*t^66-10071*t^64-22442*t^62-41593*t^60-65525*t^58 -87992*t^56-98914*t^54-87329*t^52-46323*t^50+22514*t^48+107604*t^46+190185*t^44 +250038*t^42+271877*t^40+250038*t^38+190185*t^36+107604*t^34+22514*t^32-46323*t ^30-87329*t^28-98914*t^26-87992*t^24-65525*t^22-41593*t^20-22442*t^18-10071*t^ 16-3577*t^14-902*t^12-120*t^10+5*t^8+3*t^6+2*t^4+t^2+1)*x^12-t^20*(t^2+1)*(t^8- t^6+t^4-t^2+1)*(t^80+t^78+2*t^76+3*t^74+5*t^72+5*t^70+21*t^68+111*t^66+447*t^64 +1389*t^62+3448*t^60+6966*t^58+11662*t^56+16210*t^54+18244*t^52+15022*t^50+4858 *t^48-11433*t^46-29917*t^44-44674*t^42-50315*t^40-44674*t^38-29917*t^36-11433*t ^34+4858*t^32+15022*t^30+18244*t^28+16210*t^26+11662*t^24+6966*t^22+3448*t^20+ 1389*t^18+447*t^16+111*t^14+21*t^12+5*t^10+5*t^8+3*t^6+2*t^4+t^2+1)*x^13-t^30*( t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^80+t^78+2*t^76+3*t^74+5*t^72+130*t^70+931*t^68+ 3696*t^66+10507*t^64+23714*t^62+44588*t^60+71354*t^58+97710*t^56+113008*t^54+ 104982*t^52+64597*t^50-8593*t^48-103454*t^46-198788*t^44-269600*t^42-295765*t^ 40-269600*t^38-198788*t^36-103454*t^34-8593*t^32+64597*t^30+104982*t^28+113008* t^26+97710*t^24+71354*t^22+44588*t^20+23714*t^18+10507*t^16+3696*t^14+931*t^12+ 130*t^10+5*t^8+3*t^6+2*t^4+t^2+1)*x^15+t^30*(t^100+t^98+2*t^96+3*t^94+5*t^92+5* t^90+8*t^88+8*t^86-11*t^84-117*t^82-452*t^80-1191*t^78-2327*t^76-3453*t^74-3636 *t^72-1728*t^70+3032*t^68+10217*t^66+17759*t^64+22126*t^62+19514*t^60+7653*t^58 -12302*t^56-35255*t^54-53625*t^52-60656*t^50-53625*t^48-35255*t^46-12302*t^44+ 7653*t^42+19514*t^40+22126*t^38+17759*t^36+10217*t^34+3032*t^32-1728*t^30-3636* t^28-3453*t^26-2327*t^24-1191*t^22-452*t^20-117*t^18-11*t^16+8*t^14+8*t^12+5*t^ 10+5*t^8+3*t^6+2*t^4+t^2+1)*x^16+t^42*(t^96+t^94+2*t^92+3*t^90+4*t^88-80*t^86-\ 588*t^84-2289*t^82-6293*t^80-13604*t^78-24346*t^76-37063*t^74-48583*t^72-54862* t^70-52542*t^68-40684*t^66-21753*t^64-1157*t^62+14931*t^60+22364*t^58+20819*t^ 56+13406*t^54+4610*t^52-1913*t^50-4253*t^48-1913*t^46+4610*t^44+13406*t^42+ 20819*t^40+22364*t^38+14931*t^36-1157*t^34-21753*t^32-40684*t^30-52542*t^28-\ 54862*t^26-48583*t^24-37063*t^22-24346*t^20-13604*t^18-6293*t^16-2289*t^14-588* t^12-80*t^10+4*t^8+3*t^6+2*t^4+t^2+1)*x^18-t^42*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^ 96+t^94+2*t^92+3*t^90+4*t^88+3*t^86+5*t^84+4*t^82+3*t^80+2*t^78-5*t^76-64*t^74-\ 324*t^72-1179*t^70-3197*t^68-6778*t^66-11633*t^64-16432*t^62-18786*t^60-15997*t ^58-6470*t^56+8875*t^54+26259*t^52+40121*t^50+45427*t^48+40121*t^46+26259*t^44+ 8875*t^42-6470*t^40-15997*t^38-18786*t^36-16432*t^34-11633*t^32-6778*t^30-3197* t^28-1179*t^26-324*t^24-64*t^22-5*t^20+2*t^18+3*t^16+4*t^14+5*t^12+3*t^10+4*t^8 +3*t^6+2*t^4+t^2+1)*x^19-t^56*(t^2+1)*(t^4-t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^16+t^ 14-t^10-t^8-t^6+t^2+1)*(t^68+t^66+2*t^64+2*t^62+3*t^60+38*t^58+234*t^56+819*t^ 54+2008*t^52+3777*t^50+5741*t^48+7225*t^46+7575*t^44+6526*t^42+4372*t^40+1847*t ^38-162*t^36-931*t^34-162*t^32+1847*t^30+4372*t^28+6526*t^26+7575*t^24+7225*t^ 22+5741*t^20+3777*t^18+2008*t^16+819*t^14+234*t^12+38*t^10+3*t^8+2*t^6+2*t^4+t^ 2+1)*x^21+t^56*(t^4-t^2+1)*(t^88+t^86+2*t^84+2*t^82+3*t^80+3*t^78+4*t^76+4*t^74 +5*t^72+4*t^70+24*t^68+128*t^66+462*t^64+1213*t^62+2440*t^60+3915*t^58+5147*t^ 56+5623*t^54+5138*t^52+3871*t^50+2340*t^48+1128*t^46+670*t^44+1128*t^42+2340*t^ 40+3871*t^38+5138*t^36+5623*t^34+5147*t^32+3915*t^30+2440*t^28+1213*t^26+462*t^ 24+128*t^22+24*t^20+4*t^18+5*t^16+4*t^14+4*t^12+3*t^10+3*t^8+2*t^6+2*t^4+t^2+1) *(t^16+t^14-t^10-t^8-t^6+t^2+1)*x^22+t^72*(t^36+t^34+t^32+t^30+t^28-9*t^26-44*t ^24-119*t^22-209*t^20-251*t^18-209*t^16-119*t^14-44*t^12-9*t^10+t^8+t^6+t^4+t^2 +1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2+1)^2*(t^16+t^14-t^10-t^8-t^6+t^2+1 )^2*x^24-t^72*(t^8-t^6+t^4-t^2+1)*(t^52-t^50+2*t^48-2*t^46+3*t^44-3*t^42+4*t^40 -4*t^38+5*t^36-5*t^34-3*t^32-32*t^30-51*t^28-74*t^26-51*t^24-32*t^22-3*t^20-5*t ^18+5*t^16-4*t^14+4*t^12-3*t^10+3*t^8-2*t^6+2*t^4-t^2+1)*(t^4-t^2+1)^2*(t^16+t^ 14-t^10-t^8-t^6+t^2+1)^2*(t^2+1)^3*x^25-t^90*(t^2+1)^3*(t^8-t^6+t^4-t^2+1)^3*(t ^4-t^2+1)^3*(t^16+t^14-t^10-t^8-t^6+t^2+1)^3*x^27+t^90*(t^4+1)*(t^16-t^12+t^8-t ^4+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2+1)^3*(t^16+t^14-t^10-t^8-t^6+t^2 +1)^3*x^28) J[10, 4](t, x), equals 3 2 6 3 18 9 4 9 62 59 56 (1 - t (t + 1) (t + t + 1) (t + t + 1) %2 x + t (t + t + 2 t 53 52 50 49 47 46 44 43 + 2 t - 16 t + 3 t - 106 t + 3 t - 356 t + 4 t - 794 t 42 41 40 39 38 37 36 35 + t + 4 t - 1338 t + t + 4 t - 1842 t + 2 t + 3 t 34 33 32 31 30 29 28 27 - 2186 t + 2 t + 3 t - 2307 t + 3 t + 2 t - 2186 t + 3 t 26 25 24 23 22 21 20 19 + 2 t - 1842 t + 4 t + t - 1338 t + 4 t + t - 794 t 18 16 15 13 12 10 9 6 3 + 4 t - 356 t + 3 t - 106 t + 3 t - 16 t + 2 t + 2 t + t 8 18 2 74 71 68 65 64 62 + 1) x - t (t + 1) %2 (t + t + 2 t + 3 t + 68 t + 4 t 61 59 58 56 55 54 53 52 + 488 t + 5 t + 1852 t + 7 t + 4910 t + t + 7 t + 10160 t 51 50 49 48 47 46 45 44 + t + 8 t + 17426 t + 2 t + 8 t + 25715 t + 3 t + 8 t 43 42 41 40 39 38 37 + 33446 t + 4 t + 7 t + 38932 t + 5 t + 7 t + 40915 t 36 35 34 33 32 31 30 29 + 7 t + 5 t + 38932 t + 7 t + 4 t + 33446 t + 8 t + 3 t 28 27 26 25 24 23 22 21 + 25715 t + 8 t + 2 t + 17426 t + 8 t + t + 10160 t + 7 t 20 19 18 16 15 13 12 10 + t + 4910 t + 7 t + 1852 t + 5 t + 488 t + 4 t + 68 t 9 6 3 12 30 100 97 94 91 90 + 3 t + 2 t + t + 1) x + t (t + t + 2 t + 3 t - 126 t 88 87 85 84 82 81 80 79 + 5 t - 910 t + 6 t - 3586 t + 8 t - 10082 t + 250 t + 9 t 78 77 76 75 74 73 - 22453 t + 1958 t + 11 t - 41855 t + 8148 t + 11 t 72 71 70 69 68 67 - 67494 t + 23786 t - 114 t - 96151 t + 54224 t - 899 t 66 65 64 63 62 61 - 122709 t + 102182 t - 3575 t - 141561 t + 164980 t - 10073 t 60 59 58 57 56 - 148384 t + 233896 t - 22445 t - 141560 t + 296416 t 55 54 53 52 51 50 - 41849 t - 122707 t + 339984 t - 67489 t - 96148 t + 355585 t 49 48 47 46 45 44 - 96148 t - 67489 t + 339984 t - 122707 t - 41849 t + 296416 t 43 42 41 40 39 - 141560 t - 22445 t + 233896 t - 148384 t - 10073 t 38 37 36 35 34 33 + 164980 t - 141561 t - 3575 t + 102182 t - 122709 t - 899 t 32 31 30 29 28 27 + 54224 t - 96151 t - 114 t + 23786 t - 67494 t + 11 t 26 25 24 23 22 21 20 + 8148 t - 41855 t + 11 t + 1958 t - 22453 t + 9 t + 250 t 19 18 16 15 13 12 10 9 - 10082 t + 8 t - 3586 t + 6 t - 910 t + 5 t - 126 t + 3 t 6 3 16 45 2 100 97 94 91 + 2 t + t + 1) x - t (t + 1) %2 (t + t + 2 t + 3 t 90 88 87 85 84 82 81 + 124 t + 5 t + 923 t + 6 t + 3687 t + 8 t + 10496 t 80 79 78 77 76 75 74 - 250 t + 9 t + 23703 t - 1918 t + 11 t + 44826 t - 7868 t 73 72 71 70 69 68 + 11 t + 73261 t - 22910 t + 136 t + 105567 t - 52688 t 67 66 65 64 63 62 + 934 t + 135909 t - 101110 t + 3698 t + 157662 t - 167183 t 61 60 59 58 57 + 10505 t + 165578 t - 243053 t + 23711 t + 157663 t 56 55 54 53 52 - 314853 t + 44832 t + 135911 t - 366565 t + 73266 t 51 50 49 48 47 + 105570 t - 385419 t + 105570 t + 73266 t - 366565 t 46 45 44 43 42 + 135911 t + 44832 t - 314853 t + 157663 t + 23711 t 41 40 39 38 37 36 - 243053 t + 165578 t + 10505 t - 167183 t + 157662 t + 3698 t 35 34 33 32 31 30 - 101110 t + 135909 t + 934 t - 52688 t + 105567 t + 136 t 29 28 27 26 25 24 - 22910 t + 73261 t + 11 t - 7868 t + 44826 t + 11 t 23 22 21 20 19 18 16 - 1918 t + 23703 t + 9 t - 250 t + 10496 t + 8 t + 3687 t 15 13 12 10 9 6 3 20 63 + 6 t + 923 t + 5 t + 124 t + 3 t + 2 t + t + 1) x + t 4 2 6 3 104 102 95 94 93 92 (t - t + 1) (t + t + 1) (t + t + 2 t - 85 t + 2 t - 84 t 91 90 89 88 86 85 84 - 510 t + t - 510 t - 1616 t - 1613 t - 3580 t + 72 t 83 82 81 80 79 78 - 3579 t - 6136 t + 421 t - 6205 t - 8512 t + 1331 t 77 76 75 74 73 72 - 8929 t - 9690 t + 2906 t - 11130 t - 8906 t + 4816 t 71 70 69 68 67 66 - 12470 t - 6097 t + 6290 t - 12943 t - 1981 t + 6538 t 65 64 63 62 61 60 - 12492 t + 2324 t + 5456 t - 10833 t + 5856 t + 3759 t 59 58 57 56 55 54 - 7973 t + 8171 t + 2138 t - 4586 t + 9344 t + 542 t 53 52 51 50 49 48 - 1600 t + 9683 t - 1600 t + 542 t + 9344 t - 4586 t 47 46 45 44 43 42 + 2138 t + 8171 t - 7973 t + 3759 t + 5856 t - 10833 t 41 40 39 38 37 36 + 5456 t + 2324 t - 12492 t + 6538 t - 1981 t - 12943 t 35 34 33 32 31 30 + 6290 t - 6097 t - 12470 t + 4816 t - 8906 t - 11130 t 29 28 27 26 25 24 + 2906 t - 9690 t - 8929 t + 1331 t - 8512 t - 6205 t 23 22 21 20 19 18 16 + 421 t - 6136 t - 3579 t + 72 t - 3580 t - 1613 t - 1616 t 15 14 13 12 11 10 9 2 24 - 510 t + t - 510 t - 84 t + 2 t - 85 t + 2 t + t + 1) x 84 2 4 2 82 79 76 73 72 - t (t + 1) (t - t + 1) %2 %1 (t + t + 2 t + 2 t + 35 t 70 69 67 66 64 63 62 61 + 3 t + 230 t + 3 t + 815 t + 4 t + 2004 t - 16 t + 4 t 60 59 58 57 56 55 54 + 3774 t - 106 t + 4 t + 5754 t - 356 t + 3 t + 7329 t 53 52 51 50 49 48 47 - 804 t + 38 t + 7929 t - 1383 t + 232 t + 7329 t - 1962 t 46 45 44 43 42 41 + 817 t + 5754 t - 2396 t + 2005 t + 3775 t - 2561 t 40 39 38 37 36 35 + 3775 t + 2005 t - 2396 t + 5754 t + 817 t - 1962 t 34 33 32 31 30 29 28 + 7329 t + 232 t - 1383 t + 7929 t + 38 t - 804 t + 7329 t 27 26 25 24 23 22 21 20 + 3 t - 356 t + 5754 t + 4 t - 106 t + 3774 t + 4 t - 16 t 19 18 16 15 13 12 10 9 + 2004 t + 4 t + 815 t + 3 t + 230 t + 3 t + 35 t + 2 t 6 3 28 108 44 41 38 35 34 32 31 + 2 t + t + 1) x + t (t + t + t + t - 10 t + t - 45 t 29 28 26 25 24 23 22 21 20 + t - 120 t + t - 210 t + t + t - 251 t + t + t 19 18 16 15 13 12 10 9 6 3 - 210 t + t - 120 t + t - 45 t + t - 10 t + t + t + t + 1 2 2 2 4 2 2 2 32 ) (t + 1) %2 (t - t + 1) %1 x 135 2 3 3 4 2 3 3 36 / 2 - t (t + 1) %2 (t - t + 1) %1 x ) / (1 - (t + 1) %2 x / 3 2 6 3 18 9 4 3 44 41 38 - t (t + 1) (t + t + 1) (t + t + 1) %2 x + t (t + t + t 35 34 32 31 29 28 26 25 24 23 + t - 8 t + t - 43 t + t - 118 t + t - 208 t + t + t 22 21 20 19 18 16 15 13 12 - 250 t + t + t - 208 t + t - 118 t + t - 43 t + t 10 9 6 3 5 9 62 59 56 53 52 - 8 t + t + t + t + 1) x + t (t + t + 2 t + 2 t - 16 t 50 49 47 46 44 43 42 41 + 3 t - 106 t + 3 t - 356 t + 4 t - 794 t + t + 4 t 40 39 38 37 36 35 34 33 - 1338 t + t + 4 t - 1842 t + 2 t + 3 t - 2186 t + 2 t 32 31 30 29 28 27 26 25 + 3 t - 2307 t + 3 t + 2 t - 2186 t + 3 t + 2 t - 1842 t 24 23 22 21 20 19 18 16 15 + 4 t + t - 1338 t + 4 t + t - 794 t + 4 t - 356 t + 3 t 13 12 10 9 6 3 8 9 2 - 106 t + 3 t - 16 t + 2 t + 2 t + t + 1) x - t (t + 1) %2 ( 62 59 56 53 52 50 49 47 46 t + t + 2 t + 2 t + 19 t + 3 t + 124 t + 3 t + 459 t 44 43 42 41 40 39 38 37 + 4 t + 1209 t + t + 4 t + 2435 t + t + 4 t + 3911 t 36 35 34 33 32 31 30 29 + 2 t + 3 t + 5142 t + 2 t + 3 t + 5623 t + 3 t + 2 t 28 27 26 25 24 23 22 21 + 5142 t + 3 t + 2 t + 3911 t + 4 t + t + 2435 t + 4 t 20 19 18 16 15 13 12 10 + t + 1209 t + 4 t + 459 t + 3 t + 124 t + 3 t + 19 t 9 6 3 9 18 2 74 71 68 65 + 2 t + 2 t + t + 1) x - t (t + 1) %2 (t + t + 2 t + 3 t 64 62 61 59 58 56 55 54 + 68 t + 4 t + 488 t + 5 t + 1852 t + 7 t + 4910 t + t 53 52 51 50 49 48 47 46 + 7 t + 10160 t + t + 8 t + 17426 t + 2 t + 8 t + 25715 t 45 44 43 42 41 40 39 38 + 3 t + 8 t + 33446 t + 4 t + 7 t + 38932 t + 5 t + 7 t 37 36 35 34 33 32 31 + 40915 t + 7 t + 5 t + 38932 t + 7 t + 4 t + 33446 t 30 29 28 27 26 25 24 23 + 8 t + 3 t + 25715 t + 8 t + 2 t + 17426 t + 8 t + t 22 21 20 19 18 16 15 13 + 10160 t + 7 t + t + 4910 t + 7 t + 1852 t + 5 t + 488 t 12 10 9 6 3 12 18 94 91 88 + 4 t + 68 t + 3 t + 2 t + t + 1) x + t (t + t + 2 t 85 84 82 81 79 78 76 75 + 3 t - 15 t + 4 t - 105 t + 5 t - 441 t + 7 t - 1386 t 74 73 72 71 70 69 68 67 + 28 t + 7 t - 3446 t + 208 t + 8 t - 6996 t + 920 t + 8 t 66 65 64 63 62 61 60 - 11875 t + 3018 t - 7 t - 17139 t + 7810 t - 98 t - 21273 t 59 58 57 56 55 54 + 16414 t - 434 t - 22847 t + 28659 t - 1381 t - 21272 t 53 52 51 50 49 48 + 42214 t - 3442 t - 17138 t + 53036 t - 6993 t - 11873 t 47 46 45 44 43 42 + 57190 t - 11873 t - 6993 t + 53036 t - 17138 t - 3442 t 41 40 39 38 37 36 + 42214 t - 21272 t - 1381 t + 28659 t - 22847 t - 434 t 35 34 33 32 31 30 29 + 16414 t - 21273 t - 98 t + 7810 t - 17139 t - 7 t + 3018 t 28 27 26 25 24 23 22 - 11875 t + 8 t + 920 t - 6996 t + 8 t + 208 t - 3446 t 21 20 19 18 16 15 13 12 + 7 t + 28 t - 1386 t + 7 t - 441 t + 5 t - 105 t + 4 t 10 9 6 3 13 30 100 97 94 91 - 15 t + 3 t + 2 t + t + 1) x + t (t + t + 2 t + 3 t 90 88 87 85 84 82 81 - 126 t + 5 t - 910 t + 6 t - 3586 t + 8 t - 10082 t 80 79 78 77 76 75 74 + 250 t + 9 t - 22453 t + 1958 t + 11 t - 41855 t + 8148 t 73 72 71 70 69 68 + 11 t - 67494 t + 23786 t - 114 t - 96151 t + 54224 t 67 66 65 64 63 62 - 899 t - 122709 t + 102182 t - 3575 t - 141561 t + 164980 t 61 60 59 58 57 - 10073 t - 148384 t + 233896 t - 22445 t - 141560 t 56 55 54 53 52 51 + 296416 t - 41849 t - 122707 t + 339984 t - 67489 t - 96148 t 50 49 48 47 46 45 + 355585 t - 96148 t - 67489 t + 339984 t - 122707 t - 41849 t 44 43 42 41 40 + 296416 t - 141560 t - 22445 t + 233896 t - 148384 t 39 38 37 36 35 34 - 10073 t + 164980 t - 141561 t - 3575 t + 102182 t - 122709 t 33 32 31 30 29 28 - 899 t + 54224 t - 96151 t - 114 t + 23786 t - 67494 t 27 26 25 24 23 22 21 + 11 t + 8148 t - 41855 t + 11 t + 1958 t - 22453 t + 9 t 20 19 18 16 15 13 12 + 250 t - 10082 t + 8 t - 3586 t + 6 t - 910 t + 5 t 10 9 6 3 16 30 2 100 97 - 126 t + 3 t + 2 t + t + 1) x - t (t + 1) %2 (t + t 94 91 90 88 87 85 84 82 81 + 2 t + 3 t - t + 5 t + 13 t + 6 t + 102 t + 8 t + 436 t 79 78 77 76 75 74 73 + 9 t + 1378 t - 28 t + 11 t + 3436 t - 208 t + 11 t 72 71 70 69 68 67 66 + 6983 t - 920 t + 11 t + 11859 t - 3018 t + 24 t + 17121 t 65 64 63 62 61 60 - 7810 t + 113 t + 21254 t - 16414 t + 445 t + 22828 t 59 58 57 56 55 54 - 28659 t + 1386 t + 21255 t - 42214 t + 3442 t + 17123 t 53 52 51 50 49 48 - 53036 t + 6988 t + 11862 t - 57189 t + 11862 t + 6988 t 47 46 45 44 43 42 - 53036 t + 17123 t + 3442 t - 42214 t + 21255 t + 1386 t 41 40 39 38 37 36 - 28659 t + 22828 t + 445 t - 16414 t + 21254 t + 113 t 35 34 33 32 31 30 29 - 7810 t + 17121 t + 24 t - 3018 t + 11859 t + 11 t - 920 t 28 27 26 25 24 23 22 + 6983 t + 11 t - 208 t + 3436 t + 11 t - 28 t + 1378 t 21 19 18 16 15 13 12 10 9 + 9 t + 436 t + 8 t + 102 t + 6 t + 13 t + 5 t - t + 3 t 6 3 17 45 2 100 97 94 91 + 2 t + t + 1) x - t (t + 1) %2 (t + t + 2 t + 3 t 90 88 87 85 84 82 81 + 124 t + 5 t + 923 t + 6 t + 3687 t + 8 t + 10496 t 80 79 78 77 76 75 74 - 250 t + 9 t + 23703 t - 1918 t + 11 t + 44826 t - 7868 t 73 72 71 70 69 68 + 11 t + 73261 t - 22910 t + 136 t + 105567 t - 52688 t 67 66 65 64 63 62 + 934 t + 135909 t - 101110 t + 3698 t + 157662 t - 167183 t 61 60 59 58 57 + 10505 t + 165578 t - 243053 t + 23711 t + 157663 t 56 55 54 53 52 - 314853 t + 44832 t + 135911 t - 366565 t + 73266 t 51 50 49 48 47 + 105570 t - 385419 t + 105570 t + 73266 t - 366565 t 46 45 44 43 42 + 135911 t + 44832 t - 314853 t + 157663 t + 23711 t 41 40 39 38 37 36 - 243053 t + 165578 t + 10505 t - 167183 t + 157662 t + 3698 t 35 34 33 32 31 30 - 101110 t + 135909 t + 934 t - 52688 t + 105567 t + 136 t 29 28 27 26 25 24 - 22910 t + 73261 t + 11 t - 7868 t + 44826 t + 11 t 23 22 21 20 19 18 16 - 1918 t + 23703 t + 9 t - 250 t + 10496 t + 8 t + 3687 t 15 13 12 10 9 6 3 20 45 + 6 t + 923 t + 5 t + 124 t + 3 t + 2 t + t + 1) x + t ( 120 117 114 111 110 108 105 104 102 t + t + 2 t + 3 t - t + 5 t + 6 t - t + 8 t 101 100 99 98 97 96 95 94 - 22 t + t + 9 t - 128 t + 14 t + 11 t - 465 t + 105 t 93 92 91 90 89 88 87 + 11 t - 1216 t + 459 t + 10 t - 2443 t + 1509 t - 19 t 86 85 84 83 82 81 80 - 3921 t + 3903 t - 201 t - 5153 t + 8210 t - 955 t - 5634 t 79 78 77 76 75 74 + 14347 t - 3268 t - 5139 t + 21164 t - 8734 t - 3816 t 73 72 71 70 69 68 + 26617 t - 18845 t - 1984 t + 28716 t - 33546 t + 293 t 67 66 65 64 63 62 + 26617 t - 50058 t + 3438 t + 21163 t - 63343 t + 8082 t 61 60 59 58 57 56 + 14325 t - 68458 t + 14325 t + 8082 t - 63343 t + 21163 t 55 54 53 52 51 50 + 3438 t - 50058 t + 26617 t + 293 t - 33546 t + 28716 t 49 48 47 46 45 44 - 1984 t - 18845 t + 26617 t - 3816 t - 8734 t + 21164 t 43 42 41 40 39 38 - 5139 t - 3268 t + 14347 t - 5634 t - 955 t + 8210 t 37 36 35 34 33 32 31 - 5153 t - 201 t + 3903 t - 3921 t - 19 t + 1509 t - 2443 t 30 29 28 27 26 25 24 + 10 t + 459 t - 1216 t + 11 t + 105 t - 465 t + 11 t 23 22 21 20 19 18 16 15 12 + 14 t - 128 t + 9 t + t - 22 t + 8 t - t + 6 t + 5 t 10 9 6 3 21 63 4 2 6 3 104 - t + 3 t + 2 t + t + 1) x + t (t - t + 1) (t + t + 1) (t 102 95 94 93 92 91 90 89 + t + 2 t - 85 t + 2 t - 84 t - 510 t + t - 510 t 88 86 85 84 83 82 81 - 1616 t - 1613 t - 3580 t + 72 t - 3579 t - 6136 t + 421 t 80 79 78 77 76 75 - 6205 t - 8512 t + 1331 t - 8929 t - 9690 t + 2906 t 74 73 72 71 70 69 - 11130 t - 8906 t + 4816 t - 12470 t - 6097 t + 6290 t 68 67 66 65 64 63 - 12943 t - 1981 t + 6538 t - 12492 t + 2324 t + 5456 t 62 61 60 59 58 57 - 10833 t + 5856 t + 3759 t - 7973 t + 8171 t + 2138 t 56 55 54 53 52 51 50 - 4586 t + 9344 t + 542 t - 1600 t + 9683 t - 1600 t + 542 t 49 48 47 46 45 44 + 9344 t - 4586 t + 2138 t + 8171 t - 7973 t + 3759 t 43 42 41 40 39 38 + 5856 t - 10833 t + 5456 t + 2324 t - 12492 t + 6538 t 37 36 35 34 33 32 - 1981 t - 12943 t + 6290 t - 6097 t - 12470 t + 4816 t 31 30 29 28 27 26 - 8906 t - 11130 t + 2906 t - 9690 t - 8929 t + 1331 t 25 24 23 22 21 20 19 - 8512 t - 6205 t + 421 t - 6136 t - 3579 t + 72 t - 3580 t 18 16 15 14 13 12 11 10 - 1613 t - 1616 t - 510 t + t - 510 t - 84 t + 2 t - 85 t 9 2 24 63 2 4 2 110 108 107 + 2 t + t + 1) x - t (t + 1) (t - t + 1) (t + t + t 105 104 102 101 100 99 98 97 96 95 + t + t + t + 2 t - 2 t + 2 t + t - 2 t + 3 t + t 94 93 92 91 90 89 88 87 86 - t + 3 t + 3 t - 3 t - 8 t + t - 17 t - 98 t - t 85 84 83 82 81 80 79 - 100 t - 421 t + 6 t - 389 t - 1273 t + 66 t - 1173 t 78 77 76 75 74 73 - 2983 t + 313 t - 2854 t - 5516 t + 1033 t - 5592 t 72 71 70 69 68 67 - 8060 t + 2817 t - 8910 t - 8952 t + 6497 t - 11765 t 66 65 64 63 62 61 - 6267 t + 12411 t - 13170 t + 842 t + 19440 t - 12949 t 60 59 58 57 56 55 + 10934 t + 24855 t - 11950 t + 20441 t + 25621 t - 11421 t 54 53 52 51 50 49 + 25621 t + 20441 t - 11950 t + 24855 t + 10934 t - 12949 t 48 47 46 45 44 43 + 19440 t + 842 t - 13170 t + 12411 t - 6267 t - 11765 t 42 41 40 39 38 37 + 6497 t - 8952 t - 8910 t + 2817 t - 8060 t - 5592 t 36 35 34 33 32 31 30 + 1033 t - 5516 t - 2854 t + 313 t - 2983 t - 1173 t + 66 t 29 28 27 26 25 24 23 22 - 1273 t - 389 t + 6 t - 421 t - 100 t - t - 98 t - 17 t 21 20 19 18 17 16 15 14 13 12 + t - 8 t - 3 t + 3 t + 3 t - t + t + 3 t - 2 t + t 11 10 9 8 6 5 3 2 25 84 2 + 2 t - 2 t + 2 t + t + t + t + t + t + 1) %2 x - t (t + 1) 4 2 82 79 76 73 72 70 69 (t - t + 1) %2 %1 (t + t + 2 t + 2 t + 35 t + 3 t + 230 t 67 66 64 63 62 61 60 59 + 3 t + 815 t + 4 t + 2004 t - 16 t + 4 t + 3774 t - 106 t 58 57 56 55 54 53 52 + 4 t + 5754 t - 356 t + 3 t + 7329 t - 804 t + 38 t 51 50 49 48 47 46 45 + 7929 t - 1383 t + 232 t + 7329 t - 1962 t + 817 t + 5754 t 44 43 42 41 40 39 - 2396 t + 2005 t + 3775 t - 2561 t + 3775 t + 2005 t 38 37 36 35 34 33 32 - 2396 t + 5754 t + 817 t - 1962 t + 7329 t + 232 t - 1383 t 31 30 29 28 27 26 25 + 7929 t + 38 t - 804 t + 7329 t + 3 t - 356 t + 5754 t 24 23 22 21 20 19 18 16 + 4 t - 106 t + 3774 t + 4 t - 16 t + 2004 t + 4 t + 815 t 15 13 12 10 9 6 3 28 84 + 3 t + 230 t + 3 t + 35 t + 2 t + 2 t + t + 1) x + t 4 2 102 99 96 93 90 87 84 83 (t - t + 1) (t + t + 2 t + 2 t + 3 t + 3 t + 4 t + t 82 81 80 79 78 77 76 75 74 + 20 t + 4 t + t + 125 t + 4 t + t + 461 t + 3 t + t 73 72 71 70 69 68 67 66 65 + 1211 t + 3 t - t + 2438 t + 2 t + t + 3914 t + 2 t + t 64 63 62 61 60 59 58 + 5146 t - 7 t + 21 t + 5623 t - 42 t + 126 t + 5146 t 57 56 55 54 53 52 51 - 118 t + 461 t + 3914 t - 208 t + 1211 t + 2438 t - 252 t 50 49 48 47 46 45 44 + 2438 t + 1211 t - 208 t + 3914 t + 461 t - 118 t + 5146 t 43 42 41 40 39 38 37 36 + 126 t - 42 t + 5623 t + 21 t - 7 t + 5146 t + t + 2 t 35 34 33 32 31 30 29 28 27 + 3914 t + t + 2 t + 2438 t - t + 3 t + 1211 t + t + 3 t 26 25 24 23 22 21 20 19 18 + 461 t + t + 4 t + 125 t + t + 4 t + 20 t + t + 4 t 15 12 9 6 3 29 108 44 41 38 + 3 t + 3 t + 2 t + 2 t + t + 1) %1 x + t (t + t + t 35 34 32 31 29 28 26 25 24 23 + t - 10 t + t - 45 t + t - 120 t + t - 210 t + t + t 22 21 20 19 18 16 15 13 12 - 251 t + t + t - 210 t + t - 120 t + t - 45 t + t 10 9 6 3 2 2 2 4 2 2 2 32 108 - 10 t + t + t + t + 1) (t + 1) %2 (t - t + 1) %1 x - t 2 64 61 58 55 52 49 46 44 43 42 (t + 1) (t + t + t + t + t + t + t - 8 t + t + t 41 40 38 35 32 29 26 24 - 43 t + t - 118 t - 208 t - 250 t - 208 t - 118 t + t 23 22 21 20 18 15 12 9 6 3 - 43 t + t + t - 8 t + t + t + t + t + t + t + 1) %2 4 2 2 2 33 135 2 3 3 4 2 3 3 36 135 (t - t + 1) %1 x - t (t + 1) %2 (t - t + 1) %1 x + t 4 16 12 8 4 2 2 2 4 2 3 3 37 (t + 1) (t - t + t - t + 1) (t + 1) %2 (t - t + 1) %1 x ) 16 14 10 8 6 2 %1 := t + t - t - t - t + t + 1 8 6 4 2 %2 := t - t + t - t + 1 and in Maple format (1-t^3*(t^2+1)*(t^6+t^3+1)*(t^18+t^9+1)*(t^8-t^6+t^4-t^2+1)*x^4+t^9*(t^62+t^59+ 2*t^56+2*t^53-16*t^52+3*t^50-106*t^49+3*t^47-356*t^46+4*t^44-794*t^43+t^42+4*t^ 41-1338*t^40+t^39+4*t^38-1842*t^37+2*t^36+3*t^35-2186*t^34+2*t^33+3*t^32-2307*t ^31+3*t^30+2*t^29-2186*t^28+3*t^27+2*t^26-1842*t^25+4*t^24+t^23-1338*t^22+4*t^ 21+t^20-794*t^19+4*t^18-356*t^16+3*t^15-106*t^13+3*t^12-16*t^10+2*t^9+2*t^6+t^3 +1)*x^8-t^18*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^74+t^71+2*t^68+3*t^65+68*t^64+4*t^ 62+488*t^61+5*t^59+1852*t^58+7*t^56+4910*t^55+t^54+7*t^53+10160*t^52+t^51+8*t^ 50+17426*t^49+2*t^48+8*t^47+25715*t^46+3*t^45+8*t^44+33446*t^43+4*t^42+7*t^41+ 38932*t^40+5*t^39+7*t^38+40915*t^37+7*t^36+5*t^35+38932*t^34+7*t^33+4*t^32+ 33446*t^31+8*t^30+3*t^29+25715*t^28+8*t^27+2*t^26+17426*t^25+8*t^24+t^23+10160* t^22+7*t^21+t^20+4910*t^19+7*t^18+1852*t^16+5*t^15+488*t^13+4*t^12+68*t^10+3*t^ 9+2*t^6+t^3+1)*x^12+t^30*(t^100+t^97+2*t^94+3*t^91-126*t^90+5*t^88-910*t^87+6*t ^85-3586*t^84+8*t^82-10082*t^81+250*t^80+9*t^79-22453*t^78+1958*t^77+11*t^76-\ 41855*t^75+8148*t^74+11*t^73-67494*t^72+23786*t^71-114*t^70-96151*t^69+54224*t^ 68-899*t^67-122709*t^66+102182*t^65-3575*t^64-141561*t^63+164980*t^62-10073*t^ 61-148384*t^60+233896*t^59-22445*t^58-141560*t^57+296416*t^56-41849*t^55-122707 *t^54+339984*t^53-67489*t^52-96148*t^51+355585*t^50-96148*t^49-67489*t^48+ 339984*t^47-122707*t^46-41849*t^45+296416*t^44-141560*t^43-22445*t^42+233896*t^ 41-148384*t^40-10073*t^39+164980*t^38-141561*t^37-3575*t^36+102182*t^35-122709* t^34-899*t^33+54224*t^32-96151*t^31-114*t^30+23786*t^29-67494*t^28+11*t^27+8148 *t^26-41855*t^25+11*t^24+1958*t^23-22453*t^22+9*t^21+250*t^20-10082*t^19+8*t^18 -3586*t^16+6*t^15-910*t^13+5*t^12-126*t^10+3*t^9+2*t^6+t^3+1)*x^16-t^45*(t^2+1) *(t^8-t^6+t^4-t^2+1)*(t^100+t^97+2*t^94+3*t^91+124*t^90+5*t^88+923*t^87+6*t^85+ 3687*t^84+8*t^82+10496*t^81-250*t^80+9*t^79+23703*t^78-1918*t^77+11*t^76+44826* t^75-7868*t^74+11*t^73+73261*t^72-22910*t^71+136*t^70+105567*t^69-52688*t^68+ 934*t^67+135909*t^66-101110*t^65+3698*t^64+157662*t^63-167183*t^62+10505*t^61+ 165578*t^60-243053*t^59+23711*t^58+157663*t^57-314853*t^56+44832*t^55+135911*t^ 54-366565*t^53+73266*t^52+105570*t^51-385419*t^50+105570*t^49+73266*t^48-366565 *t^47+135911*t^46+44832*t^45-314853*t^44+157663*t^43+23711*t^42-243053*t^41+ 165578*t^40+10505*t^39-167183*t^38+157662*t^37+3698*t^36-101110*t^35+135909*t^ 34+934*t^33-52688*t^32+105567*t^31+136*t^30-22910*t^29+73261*t^28+11*t^27-7868* t^26+44826*t^25+11*t^24-1918*t^23+23703*t^22+9*t^21-250*t^20+10496*t^19+8*t^18+ 3687*t^16+6*t^15+923*t^13+5*t^12+124*t^10+3*t^9+2*t^6+t^3+1)*x^20+t^63*(t^4-t^2 +1)*(t^6+t^3+1)*(t^104+t^102+2*t^95-85*t^94+2*t^93-84*t^92-510*t^91+t^90-510*t^ 89-1616*t^88-1613*t^86-3580*t^85+72*t^84-3579*t^83-6136*t^82+421*t^81-6205*t^80 -8512*t^79+1331*t^78-8929*t^77-9690*t^76+2906*t^75-11130*t^74-8906*t^73+4816*t^ 72-12470*t^71-6097*t^70+6290*t^69-12943*t^68-1981*t^67+6538*t^66-12492*t^65+ 2324*t^64+5456*t^63-10833*t^62+5856*t^61+3759*t^60-7973*t^59+8171*t^58+2138*t^ 57-4586*t^56+9344*t^55+542*t^54-1600*t^53+9683*t^52-1600*t^51+542*t^50+9344*t^ 49-4586*t^48+2138*t^47+8171*t^46-7973*t^45+3759*t^44+5856*t^43-10833*t^42+5456* t^41+2324*t^40-12492*t^39+6538*t^38-1981*t^37-12943*t^36+6290*t^35-6097*t^34-\ 12470*t^33+4816*t^32-8906*t^31-11130*t^30+2906*t^29-9690*t^28-8929*t^27+1331*t^ 26-8512*t^25-6205*t^24+421*t^23-6136*t^22-3579*t^21+72*t^20-3580*t^19-1613*t^18 -1616*t^16-510*t^15+t^14-510*t^13-84*t^12+2*t^11-85*t^10+2*t^9+t^2+1)*x^24-t^84 *(t^2+1)*(t^4-t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^16+t^14-t^10-t^8-t^6+t^2+1)*(t^82+t ^79+2*t^76+2*t^73+35*t^72+3*t^70+230*t^69+3*t^67+815*t^66+4*t^64+2004*t^63-16*t ^62+4*t^61+3774*t^60-106*t^59+4*t^58+5754*t^57-356*t^56+3*t^55+7329*t^54-804*t^ 53+38*t^52+7929*t^51-1383*t^50+232*t^49+7329*t^48-1962*t^47+817*t^46+5754*t^45-\ 2396*t^44+2005*t^43+3775*t^42-2561*t^41+3775*t^40+2005*t^39-2396*t^38+5754*t^37 +817*t^36-1962*t^35+7329*t^34+232*t^33-1383*t^32+7929*t^31+38*t^30-804*t^29+ 7329*t^28+3*t^27-356*t^26+5754*t^25+4*t^24-106*t^23+3774*t^22+4*t^21-16*t^20+ 2004*t^19+4*t^18+815*t^16+3*t^15+230*t^13+3*t^12+35*t^10+2*t^9+2*t^6+t^3+1)*x^ 28+t^108*(t^44+t^41+t^38+t^35-10*t^34+t^32-45*t^31+t^29-120*t^28+t^26-210*t^25+ t^24+t^23-251*t^22+t^21+t^20-210*t^19+t^18-120*t^16+t^15-45*t^13+t^12-10*t^10+t ^9+t^6+t^3+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2+1)^2*(t^16+t^14-t^10-t^8 -t^6+t^2+1)^2*x^32-t^135*(t^2+1)^3*(t^8-t^6+t^4-t^2+1)^3*(t^4-t^2+1)^3*(t^16+t^ 14-t^10-t^8-t^6+t^2+1)^3*x^36)/(1-(t^2+1)*(t^8-t^6+t^4-t^2+1)*x-t^3*(t^2+1)*(t^ 6+t^3+1)*(t^18+t^9+1)*(t^8-t^6+t^4-t^2+1)*x^4+t^3*(t^44+t^41+t^38+t^35-8*t^34+t ^32-43*t^31+t^29-118*t^28+t^26-208*t^25+t^24+t^23-250*t^22+t^21+t^20-208*t^19+t ^18-118*t^16+t^15-43*t^13+t^12-8*t^10+t^9+t^6+t^3+1)*x^5+t^9*(t^62+t^59+2*t^56+ 2*t^53-16*t^52+3*t^50-106*t^49+3*t^47-356*t^46+4*t^44-794*t^43+t^42+4*t^41-1338 *t^40+t^39+4*t^38-1842*t^37+2*t^36+3*t^35-2186*t^34+2*t^33+3*t^32-2307*t^31+3*t ^30+2*t^29-2186*t^28+3*t^27+2*t^26-1842*t^25+4*t^24+t^23-1338*t^22+4*t^21+t^20-\ 794*t^19+4*t^18-356*t^16+3*t^15-106*t^13+3*t^12-16*t^10+2*t^9+2*t^6+t^3+1)*x^8- t^9*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^62+t^59+2*t^56+2*t^53+19*t^52+3*t^50+124*t^ 49+3*t^47+459*t^46+4*t^44+1209*t^43+t^42+4*t^41+2435*t^40+t^39+4*t^38+3911*t^37 +2*t^36+3*t^35+5142*t^34+2*t^33+3*t^32+5623*t^31+3*t^30+2*t^29+5142*t^28+3*t^27 +2*t^26+3911*t^25+4*t^24+t^23+2435*t^22+4*t^21+t^20+1209*t^19+4*t^18+459*t^16+3 *t^15+124*t^13+3*t^12+19*t^10+2*t^9+2*t^6+t^3+1)*x^9-t^18*(t^2+1)*(t^8-t^6+t^4- t^2+1)*(t^74+t^71+2*t^68+3*t^65+68*t^64+4*t^62+488*t^61+5*t^59+1852*t^58+7*t^56 +4910*t^55+t^54+7*t^53+10160*t^52+t^51+8*t^50+17426*t^49+2*t^48+8*t^47+25715*t^ 46+3*t^45+8*t^44+33446*t^43+4*t^42+7*t^41+38932*t^40+5*t^39+7*t^38+40915*t^37+7 *t^36+5*t^35+38932*t^34+7*t^33+4*t^32+33446*t^31+8*t^30+3*t^29+25715*t^28+8*t^ 27+2*t^26+17426*t^25+8*t^24+t^23+10160*t^22+7*t^21+t^20+4910*t^19+7*t^18+1852*t ^16+5*t^15+488*t^13+4*t^12+68*t^10+3*t^9+2*t^6+t^3+1)*x^12+t^18*(t^94+t^91+2*t^ 88+3*t^85-15*t^84+4*t^82-105*t^81+5*t^79-441*t^78+7*t^76-1386*t^75+28*t^74+7*t^ 73-3446*t^72+208*t^71+8*t^70-6996*t^69+920*t^68+8*t^67-11875*t^66+3018*t^65-7*t ^64-17139*t^63+7810*t^62-98*t^61-21273*t^60+16414*t^59-434*t^58-22847*t^57+ 28659*t^56-1381*t^55-21272*t^54+42214*t^53-3442*t^52-17138*t^51+53036*t^50-6993 *t^49-11873*t^48+57190*t^47-11873*t^46-6993*t^45+53036*t^44-17138*t^43-3442*t^ 42+42214*t^41-21272*t^40-1381*t^39+28659*t^38-22847*t^37-434*t^36+16414*t^35-\ 21273*t^34-98*t^33+7810*t^32-17139*t^31-7*t^30+3018*t^29-11875*t^28+8*t^27+920* t^26-6996*t^25+8*t^24+208*t^23-3446*t^22+7*t^21+28*t^20-1386*t^19+7*t^18-441*t^ 16+5*t^15-105*t^13+4*t^12-15*t^10+3*t^9+2*t^6+t^3+1)*x^13+t^30*(t^100+t^97+2*t^ 94+3*t^91-126*t^90+5*t^88-910*t^87+6*t^85-3586*t^84+8*t^82-10082*t^81+250*t^80+ 9*t^79-22453*t^78+1958*t^77+11*t^76-41855*t^75+8148*t^74+11*t^73-67494*t^72+ 23786*t^71-114*t^70-96151*t^69+54224*t^68-899*t^67-122709*t^66+102182*t^65-3575 *t^64-141561*t^63+164980*t^62-10073*t^61-148384*t^60+233896*t^59-22445*t^58-\ 141560*t^57+296416*t^56-41849*t^55-122707*t^54+339984*t^53-67489*t^52-96148*t^ 51+355585*t^50-96148*t^49-67489*t^48+339984*t^47-122707*t^46-41849*t^45+296416* t^44-141560*t^43-22445*t^42+233896*t^41-148384*t^40-10073*t^39+164980*t^38-\ 141561*t^37-3575*t^36+102182*t^35-122709*t^34-899*t^33+54224*t^32-96151*t^31-\ 114*t^30+23786*t^29-67494*t^28+11*t^27+8148*t^26-41855*t^25+11*t^24+1958*t^23-\ 22453*t^22+9*t^21+250*t^20-10082*t^19+8*t^18-3586*t^16+6*t^15-910*t^13+5*t^12-\ 126*t^10+3*t^9+2*t^6+t^3+1)*x^16-t^30*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^100+t^97+2 *t^94+3*t^91-t^90+5*t^88+13*t^87+6*t^85+102*t^84+8*t^82+436*t^81+9*t^79+1378*t^ 78-28*t^77+11*t^76+3436*t^75-208*t^74+11*t^73+6983*t^72-920*t^71+11*t^70+11859* t^69-3018*t^68+24*t^67+17121*t^66-7810*t^65+113*t^64+21254*t^63-16414*t^62+445* t^61+22828*t^60-28659*t^59+1386*t^58+21255*t^57-42214*t^56+3442*t^55+17123*t^54 -53036*t^53+6988*t^52+11862*t^51-57189*t^50+11862*t^49+6988*t^48-53036*t^47+ 17123*t^46+3442*t^45-42214*t^44+21255*t^43+1386*t^42-28659*t^41+22828*t^40+445* t^39-16414*t^38+21254*t^37+113*t^36-7810*t^35+17121*t^34+24*t^33-3018*t^32+ 11859*t^31+11*t^30-920*t^29+6983*t^28+11*t^27-208*t^26+3436*t^25+11*t^24-28*t^ 23+1378*t^22+9*t^21+436*t^19+8*t^18+102*t^16+6*t^15+13*t^13+5*t^12-t^10+3*t^9+2 *t^6+t^3+1)*x^17-t^45*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^100+t^97+2*t^94+3*t^91+124 *t^90+5*t^88+923*t^87+6*t^85+3687*t^84+8*t^82+10496*t^81-250*t^80+9*t^79+23703* t^78-1918*t^77+11*t^76+44826*t^75-7868*t^74+11*t^73+73261*t^72-22910*t^71+136*t ^70+105567*t^69-52688*t^68+934*t^67+135909*t^66-101110*t^65+3698*t^64+157662*t^ 63-167183*t^62+10505*t^61+165578*t^60-243053*t^59+23711*t^58+157663*t^57-314853 *t^56+44832*t^55+135911*t^54-366565*t^53+73266*t^52+105570*t^51-385419*t^50+ 105570*t^49+73266*t^48-366565*t^47+135911*t^46+44832*t^45-314853*t^44+157663*t^ 43+23711*t^42-243053*t^41+165578*t^40+10505*t^39-167183*t^38+157662*t^37+3698*t ^36-101110*t^35+135909*t^34+934*t^33-52688*t^32+105567*t^31+136*t^30-22910*t^29 +73261*t^28+11*t^27-7868*t^26+44826*t^25+11*t^24-1918*t^23+23703*t^22+9*t^21-\ 250*t^20+10496*t^19+8*t^18+3687*t^16+6*t^15+923*t^13+5*t^12+124*t^10+3*t^9+2*t^ 6+t^3+1)*x^20+t^45*(t^120+t^117+2*t^114+3*t^111-t^110+5*t^108+6*t^105-t^104+8*t ^102-22*t^101+t^100+9*t^99-128*t^98+14*t^97+11*t^96-465*t^95+105*t^94+11*t^93-\ 1216*t^92+459*t^91+10*t^90-2443*t^89+1509*t^88-19*t^87-3921*t^86+3903*t^85-201* t^84-5153*t^83+8210*t^82-955*t^81-5634*t^80+14347*t^79-3268*t^78-5139*t^77+ 21164*t^76-8734*t^75-3816*t^74+26617*t^73-18845*t^72-1984*t^71+28716*t^70-33546 *t^69+293*t^68+26617*t^67-50058*t^66+3438*t^65+21163*t^64-63343*t^63+8082*t^62+ 14325*t^61-68458*t^60+14325*t^59+8082*t^58-63343*t^57+21163*t^56+3438*t^55-\ 50058*t^54+26617*t^53+293*t^52-33546*t^51+28716*t^50-1984*t^49-18845*t^48+26617 *t^47-3816*t^46-8734*t^45+21164*t^44-5139*t^43-3268*t^42+14347*t^41-5634*t^40-\ 955*t^39+8210*t^38-5153*t^37-201*t^36+3903*t^35-3921*t^34-19*t^33+1509*t^32-\ 2443*t^31+10*t^30+459*t^29-1216*t^28+11*t^27+105*t^26-465*t^25+11*t^24+14*t^23-\ 128*t^22+9*t^21+t^20-22*t^19+8*t^18-t^16+6*t^15+5*t^12-t^10+3*t^9+2*t^6+t^3+1)* x^21+t^63*(t^4-t^2+1)*(t^6+t^3+1)*(t^104+t^102+2*t^95-85*t^94+2*t^93-84*t^92-\ 510*t^91+t^90-510*t^89-1616*t^88-1613*t^86-3580*t^85+72*t^84-3579*t^83-6136*t^ 82+421*t^81-6205*t^80-8512*t^79+1331*t^78-8929*t^77-9690*t^76+2906*t^75-11130*t ^74-8906*t^73+4816*t^72-12470*t^71-6097*t^70+6290*t^69-12943*t^68-1981*t^67+ 6538*t^66-12492*t^65+2324*t^64+5456*t^63-10833*t^62+5856*t^61+3759*t^60-7973*t^ 59+8171*t^58+2138*t^57-4586*t^56+9344*t^55+542*t^54-1600*t^53+9683*t^52-1600*t^ 51+542*t^50+9344*t^49-4586*t^48+2138*t^47+8171*t^46-7973*t^45+3759*t^44+5856*t^ 43-10833*t^42+5456*t^41+2324*t^40-12492*t^39+6538*t^38-1981*t^37-12943*t^36+ 6290*t^35-6097*t^34-12470*t^33+4816*t^32-8906*t^31-11130*t^30+2906*t^29-9690*t^ 28-8929*t^27+1331*t^26-8512*t^25-6205*t^24+421*t^23-6136*t^22-3579*t^21+72*t^20 -3580*t^19-1613*t^18-1616*t^16-510*t^15+t^14-510*t^13-84*t^12+2*t^11-85*t^10+2* t^9+t^2+1)*x^24-t^63*(t^2+1)*(t^4-t^2+1)*(t^110+t^108+t^107+t^105+t^104+t^102+2 *t^101-2*t^100+2*t^99+t^98-2*t^97+3*t^96+t^95-t^94+3*t^93+3*t^92-3*t^91-8*t^90+ t^89-17*t^88-98*t^87-t^86-100*t^85-421*t^84+6*t^83-389*t^82-1273*t^81+66*t^80-\ 1173*t^79-2983*t^78+313*t^77-2854*t^76-5516*t^75+1033*t^74-5592*t^73-8060*t^72+ 2817*t^71-8910*t^70-8952*t^69+6497*t^68-11765*t^67-6267*t^66+12411*t^65-13170*t ^64+842*t^63+19440*t^62-12949*t^61+10934*t^60+24855*t^59-11950*t^58+20441*t^57+ 25621*t^56-11421*t^55+25621*t^54+20441*t^53-11950*t^52+24855*t^51+10934*t^50-\ 12949*t^49+19440*t^48+842*t^47-13170*t^46+12411*t^45-6267*t^44-11765*t^43+6497* t^42-8952*t^41-8910*t^40+2817*t^39-8060*t^38-5592*t^37+1033*t^36-5516*t^35-2854 *t^34+313*t^33-2983*t^32-1173*t^31+66*t^30-1273*t^29-389*t^28+6*t^27-421*t^26-\ 100*t^25-t^24-98*t^23-17*t^22+t^21-8*t^20-3*t^19+3*t^18+3*t^17-t^16+t^15+3*t^14 -2*t^13+t^12+2*t^11-2*t^10+2*t^9+t^8+t^6+t^5+t^3+t^2+1)*(t^8-t^6+t^4-t^2+1)*x^ 25-t^84*(t^2+1)*(t^4-t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^16+t^14-t^10-t^8-t^6+t^2+1)* (t^82+t^79+2*t^76+2*t^73+35*t^72+3*t^70+230*t^69+3*t^67+815*t^66+4*t^64+2004*t^ 63-16*t^62+4*t^61+3774*t^60-106*t^59+4*t^58+5754*t^57-356*t^56+3*t^55+7329*t^54 -804*t^53+38*t^52+7929*t^51-1383*t^50+232*t^49+7329*t^48-1962*t^47+817*t^46+ 5754*t^45-2396*t^44+2005*t^43+3775*t^42-2561*t^41+3775*t^40+2005*t^39-2396*t^38 +5754*t^37+817*t^36-1962*t^35+7329*t^34+232*t^33-1383*t^32+7929*t^31+38*t^30-\ 804*t^29+7329*t^28+3*t^27-356*t^26+5754*t^25+4*t^24-106*t^23+3774*t^22+4*t^21-\ 16*t^20+2004*t^19+4*t^18+815*t^16+3*t^15+230*t^13+3*t^12+35*t^10+2*t^9+2*t^6+t^ 3+1)*x^28+t^84*(t^4-t^2+1)*(t^102+t^99+2*t^96+2*t^93+3*t^90+3*t^87+4*t^84+t^83+ 20*t^82+4*t^81+t^80+125*t^79+4*t^78+t^77+461*t^76+3*t^75+t^74+1211*t^73+3*t^72- t^71+2438*t^70+2*t^69+t^68+3914*t^67+2*t^66+t^65+5146*t^64-7*t^63+21*t^62+5623* t^61-42*t^60+126*t^59+5146*t^58-118*t^57+461*t^56+3914*t^55-208*t^54+1211*t^53+ 2438*t^52-252*t^51+2438*t^50+1211*t^49-208*t^48+3914*t^47+461*t^46-118*t^45+ 5146*t^44+126*t^43-42*t^42+5623*t^41+21*t^40-7*t^39+5146*t^38+t^37+2*t^36+3914* t^35+t^34+2*t^33+2438*t^32-t^31+3*t^30+1211*t^29+t^28+3*t^27+461*t^26+t^25+4*t^ 24+125*t^23+t^22+4*t^21+20*t^20+t^19+4*t^18+3*t^15+3*t^12+2*t^9+2*t^6+t^3+1)*(t ^16+t^14-t^10-t^8-t^6+t^2+1)*x^29+t^108*(t^44+t^41+t^38+t^35-10*t^34+t^32-45*t^ 31+t^29-120*t^28+t^26-210*t^25+t^24+t^23-251*t^22+t^21+t^20-210*t^19+t^18-120*t ^16+t^15-45*t^13+t^12-10*t^10+t^9+t^6+t^3+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t ^4-t^2+1)^2*(t^16+t^14-t^10-t^8-t^6+t^2+1)^2*x^32-t^108*(t^2+1)*(t^64+t^61+t^58 +t^55+t^52+t^49+t^46-8*t^44+t^43+t^42-43*t^41+t^40-118*t^38-208*t^35-250*t^32-\ 208*t^29-118*t^26+t^24-43*t^23+t^22+t^21-8*t^20+t^18+t^15+t^12+t^9+t^6+t^3+1)*( t^8-t^6+t^4-t^2+1)*(t^4-t^2+1)^2*(t^16+t^14-t^10-t^8-t^6+t^2+1)^2*x^33-t^135*(t ^2+1)^3*(t^8-t^6+t^4-t^2+1)^3*(t^4-t^2+1)^3*(t^16+t^14-t^10-t^8-t^6+t^2+1)^3*x^ 36+t^135*(t^4+1)*(t^16-t^12+t^8-t^4+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2 +1)^3*(t^16+t^14-t^10-t^8-t^6+t^2+1)^3*x^37) J[10, 5](t, x), equals 4 2 2 2 4 2 6 3 (1 - t (t + 1) (t + t + 1) (t - t + 1) (t - t + 1) (t + t + 1) 6 3 12 6 5 12 76 72 68 66 (t - t + 1) (t - t + 1) %2 x + t (t + t + 2 t - 16 t 64 62 60 58 56 54 52 50 + 2 t - 106 t + 3 t - 356 t + 4 t - 794 t + 5 t - 1338 t 48 46 44 42 40 38 36 + 6 t - 1842 t + 6 t - 2186 t + 6 t - 2307 t + 6 t 34 32 30 28 26 24 22 20 - 2186 t + 6 t - 1842 t + 6 t - 1338 t + 5 t - 794 t + 4 t 18 16 14 12 10 8 4 10 24 - 356 t + 3 t - 106 t + 2 t - 16 t + 2 t + t + 1) x - t 2 4 2 88 86 84 80 78 76 (t + 1) (t - t + 1) %2 (t + t + t + t + 69 t + 71 t 74 72 70 68 66 64 62 + 490 t + 423 t + 1785 t + 1368 t + 4493 t + 3133 t + 8800 t 60 58 56 54 52 50 + 5676 t + 14302 t + 8637 t + 20050 t + 11425 t + 24821 t 48 46 44 42 40 38 + 13409 t + 27520 t + 14125 t + 27520 t + 13409 t + 24821 t 36 34 32 30 28 26 + 11425 t + 20050 t + 8637 t + 14302 t + 5676 t + 8800 t 24 22 20 18 16 14 12 + 3133 t + 4493 t + 1368 t + 1785 t + 423 t + 490 t + 71 t 10 8 4 2 15 40 120 116 112 110 + 69 t + t + t + t + 1) x + t (t + t + 2 t - 126 t 108 106 104 102 100 98 96 + 3 t - 910 t + 5 t - 3586 t + 256 t - 10082 t + 1966 t 94 92 90 88 86 84 - 22453 t + 8157 t - 41981 t + 23797 t - 68404 t + 54235 t 82 80 78 76 74 - 99737 t + 102195 t - 132791 t + 164992 t - 164014 t 72 70 68 66 64 + 233909 t - 190240 t + 296428 t - 209055 t + 339997 t 62 60 58 56 54 - 218860 t + 355597 t - 218860 t + 339997 t - 209055 t 52 50 48 46 44 + 296428 t - 190240 t + 233909 t - 164014 t + 164992 t 42 40 38 36 34 32 - 132791 t + 102195 t - 99737 t + 54235 t - 68404 t + 23797 t 30 28 26 24 22 20 - 41981 t + 8157 t - 22453 t + 1966 t - 10082 t + 256 t 18 16 14 12 10 8 4 20 60 - 3586 t + 5 t - 910 t + 3 t - 126 t + 2 t + t + 1) x - t 2 4 2 116 114 112 108 106 104 (t + 1) %2 (t - t + 1) (t + t + t + t + 125 t + 127 t 102 100 98 96 94 92 + 925 t + 803 t + 3565 t + 2518 t + 9449 t + 5021 t 90 88 86 84 82 80 + 19275 t + 6395 t + 32070 t + 2776 t + 44890 t - 10563 t 78 76 74 72 70 68 + 53801 t - 36733 t + 55871 t - 74567 t + 50927 t - 117546 t 66 64 62 60 58 56 + 41930 t - 155365 t + 33628 t - 177559 t + 30289 t - 177559 t 54 52 50 48 46 44 + 33628 t - 155365 t + 41930 t - 117546 t + 50927 t - 74567 t 42 40 38 36 34 32 + 55871 t - 36733 t + 53801 t - 10563 t + 44890 t + 2776 t 30 28 26 24 22 20 + 32070 t + 6395 t + 19275 t + 5021 t + 9449 t + 2518 t 18 16 14 12 10 8 4 2 25 + 3565 t + 803 t + 925 t + 127 t + 125 t + t + t + t + 1) x 84 132 128 124 122 120 118 116 + t (t + t + 2 t - 85 t + 3 t - 595 t + 4 t 114 112 110 108 106 104 - 2296 t + 74 t - 6301 t + 496 t - 13612 t + 1896 t 102 100 98 96 94 92 - 24533 t + 5151 t - 38329 t + 10987 t - 53283 t + 19510 t 90 88 86 84 82 80 - 66924 t + 29990 t - 76399 t + 41101 t - 79311 t + 51415 t 78 76 74 72 70 68 - 75066 t + 59833 t - 66033 t + 65704 t - 57128 t + 68702 t 66 64 62 60 58 56 - 53435 t + 68702 t - 57128 t + 65704 t - 66033 t + 59833 t 54 52 50 48 46 44 - 75066 t + 51415 t - 79311 t + 41101 t - 76399 t + 29990 t 42 40 38 36 34 32 - 66924 t + 19510 t - 53283 t + 10987 t - 38329 t + 5151 t 30 28 26 24 22 20 - 24533 t + 1896 t - 13612 t + 496 t - 6301 t + 74 t 18 16 14 12 10 8 4 30 112 - 2296 t + 4 t - 595 t + 3 t - 85 t + 2 t + t + 1) x - t 2 4 2 96 92 88 86 84 82 (t + 1) (t - t + 1) %2 %1 (t + t + 2 t + 35 t + 2 t + 230 t 80 78 76 74 72 70 68 + 3 t + 815 t - 13 t + 2004 t - 102 t + 3774 t - 352 t 66 64 62 60 58 56 + 5789 t - 800 t + 7559 t - 1380 t + 8744 t - 1958 t 54 52 50 48 46 44 + 9333 t - 2393 t + 9528 t - 2557 t + 9528 t - 2393 t 42 40 38 36 34 32 + 9333 t - 1958 t + 8744 t - 1380 t + 7559 t - 800 t 30 28 26 24 22 20 18 + 5789 t - 352 t + 3774 t - 102 t + 2004 t - 13 t + 815 t 16 14 12 10 8 4 35 144 52 48 + 3 t + 230 t + 2 t + 35 t + 2 t + t + 1) x + t (t + t 44 42 40 38 36 34 32 30 28 + t - 10 t + t - 45 t + t - 120 t + 2 t - 210 t + 2 t 26 24 22 20 18 16 14 12 - 251 t + 2 t - 210 t + 2 t - 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25 t - 1371 t + 237 t - 3430 t + 1003 t - 7006 t 90 88 86 84 82 80 + 3083 t - 12042 t + 7580 t - 17791 t + 15414 t - 23048 t 78 76 74 72 70 68 + 26445 t - 26768 t + 38673 t - 28672 t + 48498 t - 29305 t 66 64 62 60 58 56 + 52291 t - 29305 t + 48498 t - 28672 t + 38673 t - 26768 t 54 52 50 48 46 44 + 26445 t - 23048 t + 15414 t - 17791 t + 7580 t - 12042 t 42 40 38 36 34 32 30 + 3083 t - 7006 t + 1003 t - 3430 t + 237 t - 1371 t + 25 t 28 26 24 22 20 18 16 14 12 - 430 t - 6 t - 95 t - 5 t - 7 t - 3 t + 4 t - 2 t + 3 t 10 8 4 31 112 2 4 2 96 - 2 t + 2 t + t + 1) x - t (t + 1) (t - t + 1) %2 %1 (t 92 88 86 84 82 80 78 76 + t + 2 t + 35 t + 2 t + 230 t + 3 t + 815 t - 13 t 74 72 70 68 66 64 62 + 2004 t - 102 t + 3774 t - 352 t + 5789 t - 800 t + 7559 t 60 58 56 54 52 50 - 1380 t + 8744 t - 1958 t + 9333 t - 2393 t + 9528 t 48 46 44 42 40 38 - 2557 t + 9528 t - 2393 t + 9333 t - 1958 t + 8744 t 36 34 32 30 28 26 24 - 1380 t + 7559 t - 800 t + 5789 t - 352 t + 3774 t - 102 t 22 20 18 16 14 12 10 8 + 2004 t - 13 t + 815 t + 3 t + 230 t + 2 t + 35 t + 2 t 4 35 112 4 112 104 96 92 90 + t + 1) x + t (t + 1) (t + 2 t + 3 t + 20 t + t 88 84 82 80 76 74 72 70 + 109 t + 356 t + t + 859 t + 1582 t - t + 2355 t - 6 t 68 66 64 62 60 58 56 + 2918 t - 36 t + 3168 t - 81 t + 3190 t - 126 t + 3163 t 54 52 50 48 46 44 42 - 126 t + 3190 t - 81 t + 3168 t - 36 t + 2918 t - 6 t 40 38 36 32 30 28 24 22 + 2355 t - t + 1582 t + 859 t + t + 356 t + 109 t + t 20 16 8 4 2 36 144 52 48 44 + 20 t + 3 t + 2 t + 1) (t - t + 1) %1 x + t (t + t + t 42 40 38 36 34 32 30 28 - 10 t + t - 45 t + t - 120 t + 2 t - 210 t + 2 t 26 24 22 20 18 16 14 12 - 251 t + 2 t - 210 t + 2 t - 120 t + t - 45 t + t 10 8 4 2 2 2 4 2 2 2 40 144 - 10 t + t + t + 1) (t + 1) %2 (t - t + 1) %1 x - t 2 72 68 64 60 56 52 48 46 44 (t + 1) %2 (t + t + t + t + t - 7 t - 42 t + t - 117 t 40 36 32 28 26 24 20 16 12 - 207 t - 250 t - 207 t - 117 t + t - 42 t - 7 t + t + t 8 4 4 2 2 2 41 + t + t + 1) (t - t + 1) %1 x 180 2 3 3 4 2 3 3 45 180 4 - t (t + 1) %2 (t - t + 1) %1 x + t (t + 1) 16 12 8 4 2 2 2 4 2 3 3 46 (t - t + t - t + 1) (t + 1) %2 (t - t + 1) %1 x ) 16 14 10 8 6 2 %1 := t + t - t - t - t + t + 1 8 6 4 2 %2 := t - t + t - t + 1 and in Maple format (1-t^4*(t^2+1)*(t^2+t+1)*(t^2-t+1)*(t^4-t^2+1)*(t^6+t^3+1)*(t^6-t^3+1)*(t^12-t^ 6+1)*(t^8-t^6+t^4-t^2+1)*x^5+t^12*(t^76+t^72+2*t^68-16*t^66+2*t^64-106*t^62+3*t ^60-356*t^58+4*t^56-794*t^54+5*t^52-1338*t^50+6*t^48-1842*t^46+6*t^44-2186*t^42 +6*t^40-2307*t^38+6*t^36-2186*t^34+6*t^32-1842*t^30+6*t^28-1338*t^26+5*t^24-794 *t^22+4*t^20-356*t^18+3*t^16-106*t^14+2*t^12-16*t^10+2*t^8+t^4+1)*x^10-t^24*(t^ 2+1)*(t^4-t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^88+t^86+t^84+t^80+69*t^78+71*t^76+490*t ^74+423*t^72+1785*t^70+1368*t^68+4493*t^66+3133*t^64+8800*t^62+5676*t^60+14302* t^58+8637*t^56+20050*t^54+11425*t^52+24821*t^50+13409*t^48+27520*t^46+14125*t^ 44+27520*t^42+13409*t^40+24821*t^38+11425*t^36+20050*t^34+8637*t^32+14302*t^30+ 5676*t^28+8800*t^26+3133*t^24+4493*t^22+1368*t^20+1785*t^18+423*t^16+490*t^14+ 71*t^12+69*t^10+t^8+t^4+t^2+1)*x^15+t^40*(t^120+t^116+2*t^112-126*t^110+3*t^108 -910*t^106+5*t^104-3586*t^102+256*t^100-10082*t^98+1966*t^96-22453*t^94+8157*t^ 92-41981*t^90+23797*t^88-68404*t^86+54235*t^84-99737*t^82+102195*t^80-132791*t^ 78+164992*t^76-164014*t^74+233909*t^72-190240*t^70+296428*t^68-209055*t^66+ 339997*t^64-218860*t^62+355597*t^60-218860*t^58+339997*t^56-209055*t^54+296428* t^52-190240*t^50+233909*t^48-164014*t^46+164992*t^44-132791*t^42+102195*t^40-\ 99737*t^38+54235*t^36-68404*t^34+23797*t^32-41981*t^30+8157*t^28-22453*t^26+ 1966*t^24-10082*t^22+256*t^20-3586*t^18+5*t^16-910*t^14+3*t^12-126*t^10+2*t^8+t ^4+1)*x^20-t^60*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^4-t^2+1)*(t^116+t^114+t^112+t^ 108+125*t^106+127*t^104+925*t^102+803*t^100+3565*t^98+2518*t^96+9449*t^94+5021* t^92+19275*t^90+6395*t^88+32070*t^86+2776*t^84+44890*t^82-10563*t^80+53801*t^78 -36733*t^76+55871*t^74-74567*t^72+50927*t^70-117546*t^68+41930*t^66-155365*t^64 +33628*t^62-177559*t^60+30289*t^58-177559*t^56+33628*t^54-155365*t^52+41930*t^ 50-117546*t^48+50927*t^46-74567*t^44+55871*t^42-36733*t^40+53801*t^38-10563*t^ 36+44890*t^34+2776*t^32+32070*t^30+6395*t^28+19275*t^26+5021*t^24+9449*t^22+ 2518*t^20+3565*t^18+803*t^16+925*t^14+127*t^12+125*t^10+t^8+t^4+t^2+1)*x^25+t^ 84*(t^132+t^128+2*t^124-85*t^122+3*t^120-595*t^118+4*t^116-2296*t^114+74*t^112-\ 6301*t^110+496*t^108-13612*t^106+1896*t^104-24533*t^102+5151*t^100-38329*t^98+ 10987*t^96-53283*t^94+19510*t^92-66924*t^90+29990*t^88-76399*t^86+41101*t^84-\ 79311*t^82+51415*t^80-75066*t^78+59833*t^76-66033*t^74+65704*t^72-57128*t^70+ 68702*t^68-53435*t^66+68702*t^64-57128*t^62+65704*t^60-66033*t^58+59833*t^56-\ 75066*t^54+51415*t^52-79311*t^50+41101*t^48-76399*t^46+29990*t^44-66924*t^42+ 19510*t^40-53283*t^38+10987*t^36-38329*t^34+5151*t^32-24533*t^30+1896*t^28-\ 13612*t^26+496*t^24-6301*t^22+74*t^20-2296*t^18+4*t^16-595*t^14+3*t^12-85*t^10+ 2*t^8+t^4+1)*x^30-t^112*(t^2+1)*(t^4-t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^16+t^14-t^10 -t^8-t^6+t^2+1)*(t^96+t^92+2*t^88+35*t^86+2*t^84+230*t^82+3*t^80+815*t^78-13*t^ 76+2004*t^74-102*t^72+3774*t^70-352*t^68+5789*t^66-800*t^64+7559*t^62-1380*t^60 +8744*t^58-1958*t^56+9333*t^54-2393*t^52+9528*t^50-2557*t^48+9528*t^46-2393*t^ 44+9333*t^42-1958*t^40+8744*t^38-1380*t^36+7559*t^34-800*t^32+5789*t^30-352*t^ 28+3774*t^26-102*t^24+2004*t^22-13*t^20+815*t^18+3*t^16+230*t^14+2*t^12+35*t^10 +2*t^8+t^4+1)*x^35+t^144*(t^52+t^48+t^44-10*t^42+t^40-45*t^38+t^36-120*t^34+2*t ^32-210*t^30+2*t^28-251*t^26+2*t^24-210*t^22+2*t^20-120*t^18+t^16-45*t^14+t^12-\ 10*t^10+t^8+t^4+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2+1)^2*(t^16+t^14-t^ 10-t^8-t^6+t^2+1)^2*x^40-t^180*(t^2+1)^3*(t^8-t^6+t^4-t^2+1)^3*(t^4-t^2+1)^3*(t ^16+t^14-t^10-t^8-t^6+t^2+1)^3*x^45)/(1-(t^2+1)*(t^8-t^6+t^4-t^2+1)*x-t^4*(t^2+ 1)*(t^2+t+1)*(t^2-t+1)*(t^4-t^2+1)*(t^6+t^3+1)*(t^6-t^3+1)*(t^12-t^6+1)*(t^8-t^ 6+t^4-t^2+1)*x^5+t^4*(t^4+1)*(t^48+t^40-8*t^38-35*t^34+t^32-83*t^30+t^28-125*t^ 26+t^24-125*t^22+t^20-83*t^18+t^16-35*t^14-8*t^10+t^8+1)*x^6+t^12*(t^76+t^72+2* t^68-16*t^66+2*t^64-106*t^62+3*t^60-356*t^58+4*t^56-794*t^54+5*t^52-1338*t^50+6 *t^48-1842*t^46+6*t^44-2186*t^42+6*t^40-2307*t^38+6*t^36-2186*t^34+6*t^32-1842* t^30+6*t^28-1338*t^26+5*t^24-794*t^22+4*t^20-356*t^18+3*t^16-106*t^14+2*t^12-16 *t^10+2*t^8+t^4+1)*x^10-t^12*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^76+t^72+2*t^68+19*t ^66+2*t^64+124*t^62+3*t^60+459*t^58+4*t^56+1209*t^54+5*t^52+2435*t^50+6*t^48+ 3911*t^46+6*t^44+5142*t^42+6*t^40+5623*t^38+6*t^36+5142*t^34+6*t^32+3911*t^30+6 *t^28+2435*t^26+5*t^24+1209*t^22+4*t^20+459*t^18+3*t^16+124*t^14+2*t^12+19*t^10 +2*t^8+t^4+1)*x^11-t^24*(t^2+1)*(t^4-t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^88+t^86+t^84 +t^80+69*t^78+71*t^76+490*t^74+423*t^72+1785*t^70+1368*t^68+4493*t^66+3133*t^64 +8800*t^62+5676*t^60+14302*t^58+8637*t^56+20050*t^54+11425*t^52+24821*t^50+ 13409*t^48+27520*t^46+14125*t^44+27520*t^42+13409*t^40+24821*t^38+11425*t^36+ 20050*t^34+8637*t^32+14302*t^30+5676*t^28+8800*t^26+3133*t^24+4493*t^22+1368*t^ 20+1785*t^18+423*t^16+490*t^14+71*t^12+69*t^10+t^8+t^4+t^2+1)*x^15+t^24*(t^4+1) *(t^108+2*t^100-15*t^98+t^96-90*t^94+3*t^92-351*t^90+30*t^88-1035*t^86+185*t^84 -2411*t^82+742*t^80-4600*t^78+2284*t^76-7380*t^74+5534*t^72-10200*t^70+10889*t^ 68-12459*t^66+17778*t^64-13834*t^62+24445*t^60-14435*t^58+28599*t^56-14579*t^54 +28599*t^52-14435*t^50+24445*t^48-13834*t^46+17778*t^44-12459*t^42+10889*t^40-\ 10200*t^38+5534*t^36-7380*t^34+2284*t^32-4600*t^30+742*t^28-2411*t^26+185*t^24-\ 1035*t^22+30*t^20-351*t^18+3*t^16-90*t^14+t^12-15*t^10+2*t^8+1)*x^16+t^40*(t^ 120+t^116+2*t^112-126*t^110+3*t^108-910*t^106+5*t^104-3586*t^102+256*t^100-\ 10082*t^98+1966*t^96-22453*t^94+8157*t^92-41981*t^90+23797*t^88-68404*t^86+ 54235*t^84-99737*t^82+102195*t^80-132791*t^78+164992*t^76-164014*t^74+233909*t^ 72-190240*t^70+296428*t^68-209055*t^66+339997*t^64-218860*t^62+355597*t^60-\ 218860*t^58+339997*t^56-209055*t^54+296428*t^52-190240*t^50+233909*t^48-164014* t^46+164992*t^44-132791*t^42+102195*t^40-99737*t^38+54235*t^36-68404*t^34+23797 *t^32-41981*t^30+8157*t^28-22453*t^26+1966*t^24-10082*t^22+256*t^20-3586*t^18+5 *t^16-910*t^14+3*t^12-126*t^10+2*t^8+t^4+1)*x^20-t^40*(t^2+1)*(t^8-t^6+t^4-t^2+ 1)*(t^120+t^116+2*t^112-t^110+3*t^108+13*t^106+5*t^104+102*t^102+6*t^100+436*t^ 98-20*t^96+1378*t^94-199*t^92+3435*t^90-909*t^88+6996*t^86-3007*t^84+11961*t^82 -7797*t^80+17557*t^78-16402*t^76+22632*t^74-28646*t^72+26263*t^70-42202*t^68+ 28237*t^66-53023*t^64+28980*t^62-57177*t^60+28980*t^58-53023*t^56+28237*t^54-\ 42202*t^52+26263*t^50-28646*t^48+22632*t^46-16402*t^44+17557*t^42-7797*t^40+ 11961*t^38-3007*t^36+6996*t^34-909*t^32+3435*t^30-199*t^28+1378*t^26-20*t^24+ 436*t^22+6*t^20+102*t^18+5*t^16+13*t^14+3*t^12-t^10+2*t^8+t^4+1)*x^21-t^60*(t^2 +1)*(t^8-t^6+t^4-t^2+1)*(t^4-t^2+1)*(t^116+t^114+t^112+t^108+125*t^106+127*t^ 104+925*t^102+803*t^100+3565*t^98+2518*t^96+9449*t^94+5021*t^92+19275*t^90+6395 *t^88+32070*t^86+2776*t^84+44890*t^82-10563*t^80+53801*t^78-36733*t^76+55871*t^ 74-74567*t^72+50927*t^70-117546*t^68+41930*t^66-155365*t^64+33628*t^62-177559*t ^60+30289*t^58-177559*t^56+33628*t^54-155365*t^52+41930*t^50-117546*t^48+50927* t^46-74567*t^44+55871*t^42-36733*t^40+53801*t^38-10563*t^36+44890*t^34+2776*t^ 32+32070*t^30+6395*t^28+19275*t^26+5021*t^24+9449*t^22+2518*t^20+3565*t^18+803* t^16+925*t^14+127*t^12+125*t^10+t^8+t^4+t^2+1)*x^25+t^60*(t^4+1)*(t^136+2*t^128 -t^126+t^124+t^122+4*t^120-2*t^118+3*t^116-20*t^114+19*t^112-108*t^110+95*t^108 -359*t^106+375*t^104-887*t^102+1145*t^100-1768*t^98+2771*t^96-3117*t^94+5464*t^ 92-5312*t^90+8999*t^88-9064*t^86+12633*t^84-14939*t^82+15501*t^80-22532*t^78+ 17126*t^76-29993*t^74+17707*t^72-34695*t^70+17809*t^68-34695*t^66+17707*t^64-\ 29993*t^62+17126*t^60-22532*t^58+15501*t^56-14939*t^54+12633*t^52-9064*t^50+ 8999*t^48-5312*t^46+5464*t^44-3117*t^42+2771*t^40-1768*t^38+1145*t^36-887*t^34+ 375*t^32-359*t^30+95*t^28-108*t^26+19*t^24-20*t^22+3*t^20-2*t^18+4*t^16+t^14+t^ 12-t^10+2*t^8+1)*x^26+t^84*(t^132+t^128+2*t^124-85*t^122+3*t^120-595*t^118+4*t^ 116-2296*t^114+74*t^112-6301*t^110+496*t^108-13612*t^106+1896*t^104-24533*t^102 +5151*t^100-38329*t^98+10987*t^96-53283*t^94+19510*t^92-66924*t^90+29990*t^88-\ 76399*t^86+41101*t^84-79311*t^82+51415*t^80-75066*t^78+59833*t^76-66033*t^74+ 65704*t^72-57128*t^70+68702*t^68-53435*t^66+68702*t^64-57128*t^62+65704*t^60-\ 66033*t^58+59833*t^56-75066*t^54+51415*t^52-79311*t^50+41101*t^48-76399*t^46+ 29990*t^44-66924*t^42+19510*t^40-53283*t^38+10987*t^36-38329*t^34+5151*t^32-\ 24533*t^30+1896*t^28-13612*t^26+496*t^24-6301*t^22+74*t^20-2296*t^18+4*t^16-595 *t^14+3*t^12-85*t^10+2*t^8+t^4+1)*x^30-t^84*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^132+ t^128+2*t^124-2*t^122+3*t^120-2*t^118+4*t^116-3*t^114-7*t^112-5*t^110-95*t^108-\ 6*t^106-430*t^104+25*t^102-1371*t^100+237*t^98-3430*t^96+1003*t^94-7006*t^92+ 3083*t^90-12042*t^88+7580*t^86-17791*t^84+15414*t^82-23048*t^80+26445*t^78-\ 26768*t^76+38673*t^74-28672*t^72+48498*t^70-29305*t^68+52291*t^66-29305*t^64+ 48498*t^62-28672*t^60+38673*t^58-26768*t^56+26445*t^54-23048*t^52+15414*t^50-\ 17791*t^48+7580*t^46-12042*t^44+3083*t^42-7006*t^40+1003*t^38-3430*t^36+237*t^ 34-1371*t^32+25*t^30-430*t^28-6*t^26-95*t^24-5*t^22-7*t^20-3*t^18+4*t^16-2*t^14 +3*t^12-2*t^10+2*t^8+t^4+1)*x^31-t^112*(t^2+1)*(t^4-t^2+1)*(t^8-t^6+t^4-t^2+1)* (t^16+t^14-t^10-t^8-t^6+t^2+1)*(t^96+t^92+2*t^88+35*t^86+2*t^84+230*t^82+3*t^80 +815*t^78-13*t^76+2004*t^74-102*t^72+3774*t^70-352*t^68+5789*t^66-800*t^64+7559 *t^62-1380*t^60+8744*t^58-1958*t^56+9333*t^54-2393*t^52+9528*t^50-2557*t^48+ 9528*t^46-2393*t^44+9333*t^42-1958*t^40+8744*t^38-1380*t^36+7559*t^34-800*t^32+ 5789*t^30-352*t^28+3774*t^26-102*t^24+2004*t^22-13*t^20+815*t^18+3*t^16+230*t^ 14+2*t^12+35*t^10+2*t^8+t^4+1)*x^35+t^112*(t^4+1)*(t^112+2*t^104+3*t^96+20*t^92 +t^90+109*t^88+356*t^84+t^82+859*t^80+1582*t^76-t^74+2355*t^72-6*t^70+2918*t^68 -36*t^66+3168*t^64-81*t^62+3190*t^60-126*t^58+3163*t^56-126*t^54+3190*t^52-81*t ^50+3168*t^48-36*t^46+2918*t^44-6*t^42+2355*t^40-t^38+1582*t^36+859*t^32+t^30+ 356*t^28+109*t^24+t^22+20*t^20+3*t^16+2*t^8+1)*(t^4-t^2+1)*(t^16+t^14-t^10-t^8- t^6+t^2+1)*x^36+t^144*(t^52+t^48+t^44-10*t^42+t^40-45*t^38+t^36-120*t^34+2*t^32 -210*t^30+2*t^28-251*t^26+2*t^24-210*t^22+2*t^20-120*t^18+t^16-45*t^14+t^12-10* t^10+t^8+t^4+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2+1)^2*(t^16+t^14-t^10-t ^8-t^6+t^2+1)^2*x^40-t^144*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^72+t^68+t^64+t^60+t^ 56-7*t^52-42*t^48+t^46-117*t^44-207*t^40-250*t^36-207*t^32-117*t^28+t^26-42*t^ 24-7*t^20+t^16+t^12+t^8+t^4+1)*(t^4-t^2+1)^2*(t^16+t^14-t^10-t^8-t^6+t^2+1)^2*x ^41-t^180*(t^2+1)^3*(t^8-t^6+t^4-t^2+1)^3*(t^4-t^2+1)^3*(t^16+t^14-t^10-t^8-t^6 +t^2+1)^3*x^45+t^180*(t^4+1)*(t^16-t^12+t^8-t^4+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1 )^2*(t^4-t^2+1)^3*(t^16+t^14-t^10-t^8-t^6+t^2+1)^3*x^46) J[10, 6](t, x), equals 5 2 2 8 7 5 4 3 6 3 (1 - t (t + 1) %2 (t + t + 1) (t - t + t - t + t - t + 1) (t + t + 1) 24 21 15 12 9 3 6 15 90 85 80 (t - t + t - t + t - t + 1) x + t (t + t - 14 t 75 70 65 60 55 50 45 - 104 t - 352 t - 790 t - 1332 t - 1836 t - 2179 t - 2301 t 40 35 30 25 20 15 10 - 2179 t - 1836 t - 1332 t - 790 t - 352 t - 104 t - 14 t 5 12 30 2 110 105 100 95 + t + 1) x - t (t + 1) %2 (t + t + 70 t + 491 t 90 85 80 75 70 65 + 1857 t + 4916 t + 10169 t + 17436 t + 25727 t + 33459 t 60 55 50 45 40 35 + 38947 t + 40929 t + 38947 t + 33459 t + 25727 t + 17436 t 30 25 20 15 10 5 18 50 + 10169 t + 4916 t + 1857 t + 491 t + 70 t + t + 1) x + t ( 140 135 130 125 120 115 110 t + t - 124 t - 907 t - 3331 t - 8118 t - 14423 t 105 100 95 90 85 80 - 18970 t - 16844 t - 4039 t + 19832 t + 50494 t + 80553 t 75 70 65 60 55 50 + 102287 t + 110183 t + 102287 t + 80553 t + 50494 t + 19832 t 45 40 35 30 25 20 - 4039 t - 16844 t - 18970 t - 14423 t - 8118 t - 3331 t 15 10 5 24 75 2 140 135 - 907 t - 124 t + t + 1) x - t (t + 1) %2 (t + t 130 125 120 115 110 105 + 126 t + 926 t + 3442 t + 8584 t + 15967 t + 22848 t 100 95 90 85 80 75 + 24272 t + 14965 t - 7557 t - 40551 t - 75999 t - 103321 t 70 65 60 55 50 45 - 113585 t - 103321 t - 75999 t - 40551 t - 7557 t + 14965 t 40 35 30 25 20 15 + 24272 t + 22848 t + 15967 t + 8584 t + 3442 t + 926 t 10 5 30 105 150 145 140 135 + 126 t + t + 1) x + t (t + t - 83 t - 592 t 130 125 120 115 110 - 2223 t - 5807 t - 11826 t - 20043 t - 29307 t 105 100 95 90 85 80 - 37463 t - 41578 t - 38981 t - 29044 t - 14669 t - 1808 t 75 70 65 60 55 50 + 3359 t - 1808 t - 14669 t - 29044 t - 38981 t - 41578 t 45 40 35 30 25 20 - 37463 t - 29307 t - 20043 t - 11826 t - 5807 t - 2223 t 15 10 5 36 140 2 4 2 110 - 592 t - 83 t + t + 1) x - t (t + 1) %2 (t - t + 1) %1 (t 105 100 95 90 85 80 75 + t + 37 t + 232 t + 802 t + 1901 t + 3457 t + 5184 t 70 65 60 55 50 45 + 6766 t + 7975 t + 8712 t + 8951 t + 8712 t + 7975 t 40 35 30 25 20 15 10 + 6766 t + 5184 t + 3457 t + 1901 t + 802 t + 232 t + 37 t 5 42 180 60 55 50 45 40 35 + t + 1) x + t (t + t - 9 t - 44 t - 118 t - 208 t 30 25 20 15 10 5 2 2 2 - 249 t - 208 t - 118 t - 44 t - 9 t + t + 1) (t + 1) %2 4 2 2 2 48 225 2 3 3 4 2 3 3 54 / (t - t + 1) %1 x - t (t + 1) %2 (t - t + 1) %1 x ) / (1 / 2 5 2 2 - (t + 1) %2 x - t (t + 1) %2 (t + t + 1) 8 7 5 4 3 6 3 (t - t + t - t + t - t + 1) (t + t + 1) 24 21 15 12 9 3 6 5 60 55 50 45 (t - t + t - t + t - t + 1) x + t (t + t - 7 t - 42 t 40 35 30 25 20 15 10 5 - 116 t - 206 t - 248 t - 206 t - 116 t - 42 t - 7 t + t 7 15 90 85 80 75 70 65 60 + 1) x + t (t + t - 14 t - 104 t - 352 t - 790 t - 1332 t 55 50 45 40 35 30 - 1836 t - 2179 t - 2301 t - 2179 t - 1836 t - 1332 t 25 20 15 10 5 12 15 2 - 790 t - 352 t - 104 t - 14 t + t + 1) x - t (t + 1) %2 ( 90 85 80 75 70 65 60 55 t + t + 21 t + 126 t + 463 t + 1213 t + 2441 t + 3917 t 50 45 40 35 30 25 + 5149 t + 5629 t + 5149 t + 3917 t + 2441 t + 1213 t 20 15 10 5 13 30 2 110 105 + 463 t + 126 t + 21 t + t + 1) x - t (t + 1) %2 (t + t 100 95 90 85 80 75 + 70 t + 491 t + 1857 t + 4916 t + 10169 t + 17436 t 70 65 60 55 50 45 + 25727 t + 33459 t + 38947 t + 40929 t + 38947 t + 33459 t 40 35 30 25 20 15 + 25727 t + 17436 t + 10169 t + 4916 t + 1857 t + 491 t 10 5 18 30 130 125 120 115 110 + 70 t + t + 1) x + t (t + t - 13 t - 102 t - 409 t 105 100 95 90 85 80 - 1173 t - 2534 t - 4076 t - 4497 t - 2102 t + 3950 t 75 70 65 60 55 50 + 12381 t + 19899 t + 22922 t + 19899 t + 12381 t + 3950 t 45 40 35 30 25 20 15 - 2102 t - 4497 t - 4076 t - 2534 t - 1173 t - 409 t - 102 t 10 5 19 50 140 135 130 125 - 13 t + t + 1) x + t (t + t - 124 t - 907 t 120 115 110 105 100 95 - 3331 t - 8118 t - 14423 t - 18970 t - 16844 t - 4039 t 90 85 80 75 70 65 + 19832 t + 50494 t + 80553 t + 102287 t + 110183 t + 102287 t 60 55 50 45 40 35 + 80553 t + 50494 t + 19832 t - 4039 t - 16844 t - 18970 t 30 25 20 15 10 5 24 50 - 14423 t - 8118 t - 3331 t - 907 t - 124 t + t + 1) x - t 140 135 130 125 120 115 110 105 (t + t + t + 16 t + 107 t + 414 t + 1177 t + 2538 t 100 95 90 85 80 75 + 4079 t + 4497 t + 2099 t - 3955 t - 12388 t - 19908 t 70 65 60 55 50 45 - 22931 t - 19908 t - 12388 t - 3955 t + 2099 t + 4497 t 40 35 30 25 20 15 10 5 + 4079 t + 2538 t + 1177 t + 414 t + 107 t + 16 t + t + t 2 25 75 2 140 135 130 125 + 1) (t + 1) %2 x - t (t + 1) %2 (t + t + 126 t + 926 t 120 115 110 105 100 95 + 3442 t + 8584 t + 15967 t + 22848 t + 24272 t + 14965 t 90 85 80 75 70 65 - 7557 t - 40551 t - 75999 t - 103321 t - 113585 t - 103321 t 60 55 50 45 40 35 - 75999 t - 40551 t - 7557 t + 14965 t + 24272 t + 22848 t 30 25 20 15 10 5 30 75 + 15967 t + 8584 t + 3442 t + 926 t + 126 t + t + 1) x + t 160 155 150 145 140 135 130 125 (t + t + t + 3 t + 5 t - 2 t - 17 t - 27 t 120 115 110 105 100 95 + 93 t + 521 t + 1129 t + 924 t - 1801 t - 8194 t 90 85 80 75 70 65 - 17172 t - 25279 t - 28554 t - 25279 t - 17172 t - 8194 t 60 55 50 45 40 35 30 - 1801 t + 924 t + 1129 t + 521 t + 93 t - 27 t - 17 t 25 20 15 10 5 31 105 150 145 140 - 2 t + 5 t + 3 t + t + t + 1) x + t (t + t - 83 t 135 130 125 120 115 110 - 592 t - 2223 t - 5807 t - 11826 t - 20043 t - 29307 t 105 100 95 90 85 80 - 37463 t - 41578 t - 38981 t - 29044 t - 14669 t - 1808 t 75 70 65 60 55 50 + 3359 t - 1808 t - 14669 t - 29044 t - 38981 t - 41578 t 45 40 35 30 25 20 - 37463 t - 29307 t - 20043 t - 11826 t - 5807 t - 2223 t 15 10 5 36 105 2 150 145 135 - 592 t - 83 t + t + 1) x - t (t + 1) %2 (t + t + t 130 125 120 115 110 105 - 11 t - 102 t - 410 t - 1167 t - 2514 t - 4102 t 100 95 90 85 80 75 - 4840 t - 3277 t + 1429 t + 8416 t + 14914 t + 17585 t 70 65 60 55 50 45 + 14914 t + 8416 t + 1429 t - 3277 t - 4840 t - 4102 t 40 35 30 25 20 15 5 37 - 2514 t - 1167 t - 410 t - 102 t - 11 t + t + t + 1) x - 140 2 4 2 110 105 100 95 t (t + 1) %2 (t - t + 1) %1 (t + t + 37 t + 232 t 90 85 80 75 70 65 + 802 t + 1901 t + 3457 t + 5184 t + 6766 t + 7975 t 60 55 50 45 40 35 + 8712 t + 8951 t + 8712 t + 7975 t + 6766 t + 5184 t 30 25 20 15 10 5 42 140 + 3457 t + 1901 t + 802 t + 232 t + 37 t + t + 1) x + t 4 2 130 125 120 115 110 105 (t - t + 1) %1 (t + t + 2 t + 2 t + 23 t + 129 t 100 95 90 85 80 75 + 466 t + 1216 t + 2463 t + 4033 t + 5568 t + 6719 t 70 65 60 55 50 45 + 7380 t + 7580 t + 7380 t + 6719 t + 5568 t + 4033 t 40 35 30 25 20 15 10 5 + 2463 t + 1216 t + 466 t + 129 t + 23 t + 2 t + 2 t + t 43 180 60 55 50 45 40 35 30 + 1) x + t (t + t - 9 t - 44 t - 118 t - 208 t - 249 t 25 20 15 10 5 2 2 2 - 208 t - 118 t - 44 t - 9 t + t + 1) (t + 1) %2 4 2 2 2 48 180 2 80 75 70 65 60 (t - t + 1) %1 x - t (t + 1) %2 (t + t + t + t - 7 t 55 50 45 40 35 30 25 - 42 t - 116 t - 207 t - 248 t - 207 t - 116 t - 42 t 20 15 10 5 4 2 2 2 49 - 7 t + t + t + t + 1) (t - t + 1) %1 x 225 2 3 3 4 2 3 3 54 225 4 - t (t + 1) %2 (t - t + 1) %1 x + t (t + 1) 16 12 8 4 2 2 2 4 2 3 3 55 (t - t + t - t + 1) (t + 1) %2 (t - t + 1) %1 x ) 16 14 10 8 6 2 %1 := t + t - t - t - t + t + 1 8 6 4 2 %2 := t - t + t - t + 1 and in Maple format (1-t^5*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^2+t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t^6+t^3 +1)*(t^24-t^21+t^15-t^12+t^9-t^3+1)*x^6+t^15*(t^90+t^85-14*t^80-104*t^75-352*t^ 70-790*t^65-1332*t^60-1836*t^55-2179*t^50-2301*t^45-2179*t^40-1836*t^35-1332*t^ 30-790*t^25-352*t^20-104*t^15-14*t^10+t^5+1)*x^12-t^30*(t^2+1)*(t^8-t^6+t^4-t^2 +1)*(t^110+t^105+70*t^100+491*t^95+1857*t^90+4916*t^85+10169*t^80+17436*t^75+ 25727*t^70+33459*t^65+38947*t^60+40929*t^55+38947*t^50+33459*t^45+25727*t^40+ 17436*t^35+10169*t^30+4916*t^25+1857*t^20+491*t^15+70*t^10+t^5+1)*x^18+t^50*(t^ 140+t^135-124*t^130-907*t^125-3331*t^120-8118*t^115-14423*t^110-18970*t^105-\ 16844*t^100-4039*t^95+19832*t^90+50494*t^85+80553*t^80+102287*t^75+110183*t^70+ 102287*t^65+80553*t^60+50494*t^55+19832*t^50-4039*t^45-16844*t^40-18970*t^35-\ 14423*t^30-8118*t^25-3331*t^20-907*t^15-124*t^10+t^5+1)*x^24-t^75*(t^2+1)*(t^8- t^6+t^4-t^2+1)*(t^140+t^135+126*t^130+926*t^125+3442*t^120+8584*t^115+15967*t^ 110+22848*t^105+24272*t^100+14965*t^95-7557*t^90-40551*t^85-75999*t^80-103321*t ^75-113585*t^70-103321*t^65-75999*t^60-40551*t^55-7557*t^50+14965*t^45+24272*t^ 40+22848*t^35+15967*t^30+8584*t^25+3442*t^20+926*t^15+126*t^10+t^5+1)*x^30+t^ 105*(t^150+t^145-83*t^140-592*t^135-2223*t^130-5807*t^125-11826*t^120-20043*t^ 115-29307*t^110-37463*t^105-41578*t^100-38981*t^95-29044*t^90-14669*t^85-1808*t ^80+3359*t^75-1808*t^70-14669*t^65-29044*t^60-38981*t^55-41578*t^50-37463*t^45-\ 29307*t^40-20043*t^35-11826*t^30-5807*t^25-2223*t^20-592*t^15-83*t^10+t^5+1)*x^ 36-t^140*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^4-t^2+1)*(t^16+t^14-t^10-t^8-t^6+t^2+1) *(t^110+t^105+37*t^100+232*t^95+802*t^90+1901*t^85+3457*t^80+5184*t^75+6766*t^ 70+7975*t^65+8712*t^60+8951*t^55+8712*t^50+7975*t^45+6766*t^40+5184*t^35+3457*t ^30+1901*t^25+802*t^20+232*t^15+37*t^10+t^5+1)*x^42+t^180*(t^60+t^55-9*t^50-44* t^45-118*t^40-208*t^35-249*t^30-208*t^25-118*t^20-44*t^15-9*t^10+t^5+1)*(t^2+1) ^2*(t^8-t^6+t^4-t^2+1)^2*(t^4-t^2+1)^2*(t^16+t^14-t^10-t^8-t^6+t^2+1)^2*x^48-t^ 225*(t^2+1)^3*(t^8-t^6+t^4-t^2+1)^3*(t^4-t^2+1)^3*(t^16+t^14-t^10-t^8-t^6+t^2+1 )^3*x^54)/(1-(t^2+1)*(t^8-t^6+t^4-t^2+1)*x-t^5*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^2 +t+1)*(t^8-t^7+t^5-t^4+t^3-t+1)*(t^6+t^3+1)*(t^24-t^21+t^15-t^12+t^9-t^3+1)*x^6 +t^5*(t^60+t^55-7*t^50-42*t^45-116*t^40-206*t^35-248*t^30-206*t^25-116*t^20-42* t^15-7*t^10+t^5+1)*x^7+t^15*(t^90+t^85-14*t^80-104*t^75-352*t^70-790*t^65-1332* t^60-1836*t^55-2179*t^50-2301*t^45-2179*t^40-1836*t^35-1332*t^30-790*t^25-352*t ^20-104*t^15-14*t^10+t^5+1)*x^12-t^15*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^90+t^85+21 *t^80+126*t^75+463*t^70+1213*t^65+2441*t^60+3917*t^55+5149*t^50+5629*t^45+5149* t^40+3917*t^35+2441*t^30+1213*t^25+463*t^20+126*t^15+21*t^10+t^5+1)*x^13-t^30*( t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^110+t^105+70*t^100+491*t^95+1857*t^90+4916*t^85+ 10169*t^80+17436*t^75+25727*t^70+33459*t^65+38947*t^60+40929*t^55+38947*t^50+ 33459*t^45+25727*t^40+17436*t^35+10169*t^30+4916*t^25+1857*t^20+491*t^15+70*t^ 10+t^5+1)*x^18+t^30*(t^130+t^125-13*t^120-102*t^115-409*t^110-1173*t^105-2534*t ^100-4076*t^95-4497*t^90-2102*t^85+3950*t^80+12381*t^75+19899*t^70+22922*t^65+ 19899*t^60+12381*t^55+3950*t^50-2102*t^45-4497*t^40-4076*t^35-2534*t^30-1173*t^ 25-409*t^20-102*t^15-13*t^10+t^5+1)*x^19+t^50*(t^140+t^135-124*t^130-907*t^125-\ 3331*t^120-8118*t^115-14423*t^110-18970*t^105-16844*t^100-4039*t^95+19832*t^90+ 50494*t^85+80553*t^80+102287*t^75+110183*t^70+102287*t^65+80553*t^60+50494*t^55 +19832*t^50-4039*t^45-16844*t^40-18970*t^35-14423*t^30-8118*t^25-3331*t^20-907* t^15-124*t^10+t^5+1)*x^24-t^50*(t^140+t^135+t^130+16*t^125+107*t^120+414*t^115+ 1177*t^110+2538*t^105+4079*t^100+4497*t^95+2099*t^90-3955*t^85-12388*t^80-19908 *t^75-22931*t^70-19908*t^65-12388*t^60-3955*t^55+2099*t^50+4497*t^45+4079*t^40+ 2538*t^35+1177*t^30+414*t^25+107*t^20+16*t^15+t^10+t^5+1)*(t^2+1)*(t^8-t^6+t^4- t^2+1)*x^25-t^75*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^140+t^135+126*t^130+926*t^125+ 3442*t^120+8584*t^115+15967*t^110+22848*t^105+24272*t^100+14965*t^95-7557*t^90-\ 40551*t^85-75999*t^80-103321*t^75-113585*t^70-103321*t^65-75999*t^60-40551*t^55 -7557*t^50+14965*t^45+24272*t^40+22848*t^35+15967*t^30+8584*t^25+3442*t^20+926* t^15+126*t^10+t^5+1)*x^30+t^75*(t^160+t^155+t^150+3*t^145+5*t^140-2*t^135-17*t^ 130-27*t^125+93*t^120+521*t^115+1129*t^110+924*t^105-1801*t^100-8194*t^95-17172 *t^90-25279*t^85-28554*t^80-25279*t^75-17172*t^70-8194*t^65-1801*t^60+924*t^55+ 1129*t^50+521*t^45+93*t^40-27*t^35-17*t^30-2*t^25+5*t^20+3*t^15+t^10+t^5+1)*x^ 31+t^105*(t^150+t^145-83*t^140-592*t^135-2223*t^130-5807*t^125-11826*t^120-\ 20043*t^115-29307*t^110-37463*t^105-41578*t^100-38981*t^95-29044*t^90-14669*t^ 85-1808*t^80+3359*t^75-1808*t^70-14669*t^65-29044*t^60-38981*t^55-41578*t^50-\ 37463*t^45-29307*t^40-20043*t^35-11826*t^30-5807*t^25-2223*t^20-592*t^15-83*t^ 10+t^5+1)*x^36-t^105*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^150+t^145+t^135-11*t^130-\ 102*t^125-410*t^120-1167*t^115-2514*t^110-4102*t^105-4840*t^100-3277*t^95+1429* t^90+8416*t^85+14914*t^80+17585*t^75+14914*t^70+8416*t^65+1429*t^60-3277*t^55-\ 4840*t^50-4102*t^45-2514*t^40-1167*t^35-410*t^30-102*t^25-11*t^20+t^15+t^5+1)*x ^37-t^140*(t^2+1)*(t^8-t^6+t^4-t^2+1)*(t^4-t^2+1)*(t^16+t^14-t^10-t^8-t^6+t^2+1 )*(t^110+t^105+37*t^100+232*t^95+802*t^90+1901*t^85+3457*t^80+5184*t^75+6766*t^ 70+7975*t^65+8712*t^60+8951*t^55+8712*t^50+7975*t^45+6766*t^40+5184*t^35+3457*t ^30+1901*t^25+802*t^20+232*t^15+37*t^10+t^5+1)*x^42+t^140*(t^4-t^2+1)*(t^16+t^ 14-t^10-t^8-t^6+t^2+1)*(t^130+t^125+2*t^120+2*t^115+23*t^110+129*t^105+466*t^ 100+1216*t^95+2463*t^90+4033*t^85+5568*t^80+6719*t^75+7380*t^70+7580*t^65+7380* t^60+6719*t^55+5568*t^50+4033*t^45+2463*t^40+1216*t^35+466*t^30+129*t^25+23*t^ 20+2*t^15+2*t^10+t^5+1)*x^43+t^180*(t^60+t^55-9*t^50-44*t^45-118*t^40-208*t^35-\ 249*t^30-208*t^25-118*t^20-44*t^15-9*t^10+t^5+1)*(t^2+1)^2*(t^8-t^6+t^4-t^2+1)^ 2*(t^4-t^2+1)^2*(t^16+t^14-t^10-t^8-t^6+t^2+1)^2*x^48-t^180*(t^2+1)*(t^8-t^6+t^ 4-t^2+1)*(t^80+t^75+t^70+t^65-7*t^60-42*t^55-116*t^50-207*t^45-248*t^40-207*t^ 35-116*t^30-42*t^25-7*t^20+t^15+t^10+t^5+1)*(t^4-t^2+1)^2*(t^16+t^14-t^10-t^8-t ^6+t^2+1)^2*x^49-t^225*(t^2+1)^3*(t^8-t^6+t^4-t^2+1)^3*(t^4-t^2+1)^3*(t^16+t^14 -t^10-t^8-t^6+t^2+1)^3*x^54+t^225*(t^4+1)*(t^16-t^12+t^8-t^4+1)*(t^2+1)^2*(t^8- t^6+t^4-t^2+1)^2*(t^4-t^2+1)^3*(t^16+t^14-t^10-t^8-t^6+t^2+1)^3*x^55) ---------------------------- This took, 1917.627, seconds.