BFT_verification.m

/*
This file verifies the optimized formulae for the BFT-parametrization of (3,3)-isogenies.
*/

clear;
K<r,s,t> := PolynomialRing(Rationals(),3);
// p := RandomPrime(751 : Proof := false); K := GF(p^2); r := Random(K); s := Random(K); t := Random(K);
INV2 := K ! 1/2; INV3 := K ! 1/3; INV4 := K ! 1/4; INV16 := K ! 1/16; INV216 := K ! 1/216; INV864 := K ! 1/864;
INV103680 := K ! 1/103680; INV213408 := K ! 1/213408; INV13837824 := K ! 1/13837824; INV8115344640 := K ! 1/8115344640; INV327019680 := K ! 1/327019680;
R<k0,k1,k2,k3> := PolynomialRing(K,4);

Xi0old :=  (r^6*s^2 - 6*r^4*s^2*t + 2*r^3*s^2*t^2 + 2*r^3*s^2*t + 9*r^2*s^2*t^2 - 6*r*s^2*t^3 + s^2*t^4 - 3*r^4*s + 3*r^3*s*t - 6*r*s^2*t^2 + 2*s^2*t^3 + r^3*s + 6*r^2*s*t - 9*r*s*t^2 + s^2*t^2 + 2*s*t^3 + r^3 - 3*r*s*t + 3*s*t^2 - 3*r*t + t^2 + t) * k0*k3^2+  (4) * s * (r^7*s^3*t - 4*r^6*s^3*t^2 + 3*r^5*s^3*t^3 + 2*r^7*s^3 - 14*r^6*s^3*t + 39*r^5*s^3*t^2 - 37*r^4*s^3*t^3 + 13*r^3*s^3*t^4 - 3*r^2*s^3*t^5 - r^7*s^2 - 4*r^6*s^2*t + 3*r^5*s^3*t + 6*r^5*s^2*t^2 - 21*r^4*s^3*t^2 + 9*r^3*s^3*t^3 + 15*r^2*s^3*t^4 - 8*r*s^3*t^5 + 2*s^3*t^6 + 39*r^5*s^2*t - 2*r^4*s^3*t - 65*r^4*s^2*t^2 + 23*r^3*s^3*t^2 + 31*r^3*s^2*t^3 - 21*r^2*s^3*t^3 - 9*r^2*s^2*t^4 + r*s^3*t^4 - s^3*t^5 - 6*r^5*s^2 + 3*r^5*s*t - 28*r^4*s^2*t + 33*r^3*s^2*t^2 - 9*r^2*s^3*t^2 + 18*r^2*s^2*t^3 + 8*r*s^3*t^3 - 17*r*s^2*t^4 + s^3*t^4 + 6*s^2*t^5 + 3*r^5*s + 2*r^4*s^2 - 29*r^4*s*t + 25*r^3*s^2*t + 23*r^3*s*t^2 - 33*r^2*s^2*t^2 + 2*r*s^3*t^2 - 9*r^2*s*t^3 + 5*r*s^2*t^3 - 2*s^3*t^3 - 3*s^2*t^4 + r^4*s + 21*r^3*s*t - 6*r^2*s^2*t + 5*r*s^2*t^2 - 10*r*s*t^3 + 2*s^2*t^3 + 6*s*t^4 - r^4 + 5*r^3*t - 15*r^2*s*t - 3*r^2*t^2 + 6*r*s*t^2 - 3*s*t^3 - 3*r^2*t + 2*r*s*t - r*t^2 + s*t^2 + 2*t^3 + 2*r*t - t^2) * k1*k2*k3+  (4) * (r^6*s^4*t^2 + r^6*s^4*t - 9*r^5*s^4*t^2 + 3*r^4*s^4*t^3 - r^3*s^4*t^4 + r^6*s^4 + 2*r^6*s^3*t - 9*r^5*s^4*t + 39*r^4*s^4*t^2 - 29*r^3*s^4*t^3 + 18*r^2*s^4*t^4 - 6*r*s^4*t^5 + s^4*t^6 - r^6*s^3 - 9*r^5*s^3*t + 3*r^4*s^4*t + 3*r^4*s^3*t^2 - 29*r^3*s^4*t^2 - 2*r^3*s^3*t^3 + 9*r^2*s^4*t^3 - 3*r*s^4*t^4 + r^6*s^2 + 39*r^4*s^3*t - r^3*s^4*t - 57*r^3*s^3*t^2 + 18*r^2*s^4*t^2 + 51*r^2*s^3*t^3 - 3*r*s^4*t^3 - 21*r*s^3*t^4 + s^4*t^4 + 4*s^3*t^5 - 3*r^4*s^3 - 3*r^4*s^2*t - 28*r^3*s^3*t + 33*r^2*s^3*t^2 - 6*r*s^4*t^2 - 18*r*s^3*t^3 + 2*s^3*t^4 + 3*r^4*s^2 + r^3*s^3 - 28*r^3*s^2*t + 15*r^2*s^3*t + 48*r^2*s^2*t^2 - 15*r*s^3*t^2 + s^4*t^2 - 27*r*s^2*t^3 + 5*s^3*t^3 + 6*s^2*t^4 - 3*r^4*s + 2*r^3*s*t + 21*r^2*s^2*t - 3*r*s^3*t - 24*r*s^2*t^2 + 2*s^3*t^2 + 5*s^2*t^3 + 15*r^2*s*t - 9*r*s^2*t - 15*r*s*t^2 + 6*s^2*t^2 + 4*s*t^3 + r^3 - 9*r*s*t + s^2*t + 4*s*t^2 - 3*r*t + 2*s*t + t^2 + t) * k2^2*k3+  (4) * s * (5*r^8*s^3 - 16*r^7*s^3*t + 23*r^6*s^3*t^2 - 18*r^5*s^3*t^3 + 6*r^4*s^3*t^4 - 18*r^6*s^3*t + 40*r^5*s^3*t^2 - 32*r^4*s^3*t^3 + 16*r^3*s^3*t^4 - 6*r^2*s^3*t^5 + 22*r^6*s^2*t + 4*r^5*s^3*t - 34*r^5*s^2*t^2 + 31*r^4*s^3*t^2 + 17*r^4*s^2*t^3 - 92*r^3*s^3*t^3 + 80*r^2*s^3*t^4 - 28*r*s^3*t^5 + 5*s^3*t^6 - 15*r^6*s^2 + 11*r^5*s^2*t - 24*r^4*s^2*t^2 - 24*r^3*s^3*t^2 + 25*r^3*s^2*t^3 + 52*r^2*s^3*t^3 - 17*r^2*s^2*t^4 - 32*r*s^3*t^4 + 4*s^3*t^5 + 5*r^5*s^2 - 16*r^5*s*t + 37*r^4*s^2*t + 16*r^4*s*t^2 - 90*r^3*s^2*t^2 + 5*r^2*s^3*t^2 + 124*r^2*s^2*t^3 - 10*r*s^3*t^3 - 61*r*s^2*t^4 + 5*s^3*t^4 + 15*s^2*t^5 + 5*r^5*s + 7*r^4*s*t - 15*r^3*s^2*t + 4*r^3*s*t^2 + 28*r^2*s^2*t^2 - 16*r^2*s*t^3 - 41*r*s^2*t^3 + 8*s^2*t^4 + 5*r^4*t - 26*r^3*s*t + 49*r^2*s*t^2 - 38*r*s*t^3 + 5*s^2*t^3 + 15*s*t^4 - 5*r^3*t + 5*r^2*s*t - 5*r^2*t^2 - 9*r*s*t^2 + 4*s*t^3 + 5*r^2*t - 5*r*t^2 + 5*t^3) * k0*k2*k3+  (4) * s * (r^8*s^3 - 5*r^7*s^3*t + 10*r^6*s^3*t^2 - 9*r^5*s^3*t^3 + 3*r^4*s^3*t^4 - r^5*s^3*t^2 - r^4*s^3*t^3 + 5*r^3*s^3*t^4 - 3*r^2*s^3*t^5 + 8*r^6*s^2*t - r^5*s^3*t - 14*r^5*s^2*t^2 + 8*r^4*s^3*t^2 + 7*r^4*s^2*t^3 - 13*r^3*s^3*t^3 + 7*r^2*s^3*t^4 - 2*r*s^3*t^5 + s^3*t^6 - 3*r^6*s^2 - 5*r^5*s^2*t + 6*r^4*s^2*t^2 - 3*r^3*s^3*t^2 + 5*r^3*s^2*t^3 + 5*r^2*s^3*t^3 - 7*r^2*s^2*t^4 - r*s^3*t^4 - s^3*t^5 + r^5*s^2 - 5*r^5*s*t + 11*r^4*s^2*t + 5*r^4*s*t^2 - 18*r^3*s^2*t^2 + r^2*s^3*t^2 + 14*r^2*s^2*t^3 - 2*r*s^3*t^3 - 5*r*s^2*t^4 + s^3*t^4 + 3*s^2*t^5 + r^5*s + 5*r^4*s*t - 3*r^3*s^2*t - r^3*s*t^2 + 2*r^2*s^2*t^2 - 5*r^2*s*t^3 - r*s^2*t^3 - 2*s^2*t^4 + r^4*t - 7*r^3*s*t + 8*r^2*s*t^2 - 4*r*s*t^3 + s^2*t^3 + 3*s*t^4 - r^3*t + r^2*s*t - r^2*t^2 - s*t^3 + r^2*t - r*t^2 + t^3) * k1^2*k3+  (12) * s * (r^9*s^3 - 3*r^8*s^3*t + 3*r^7*s^3*t^2 - r^6*s^3*t^3 - 3*r^7*s^3*t + 8*r^6*s^3*t^2 - 6*r^5*s^3*t^3 + r^3*s^3*t^5 + 3*r^7*s^2*t - 2*r^6*s^2*t^2 + 6*r^5*s^3*t^2 - 18*r^4*s^3*t^3 + 18*r^3*s^3*t^4 - 6*r^2*s^3*t^5 - 3*r^7*s^2 + 2*r^6*s^2*t - 6*r^5*s^2*t^2 - 3*r^4*s^3*t^2 + 8*r^3*s^3*t^3 + 3*r^3*s^2*t^4 - 6*r^2*s^3*t^4 + s^3*t^6 + r^6*s^2 - r^6*s*t + 9*r^5*s^2*t - 18*r^4*s^2*t^2 + r^3*s^3*t^2 + 29*r^3*s^2*t^3 - 3*r^2*s^3*t^3 - 15*r^2*s^2*t^4 + 3*r*s^3*t^4 - s^3*t^5 + r^6*s - 3*r^4*s^2*t + 2*r^3*s^2*t^2 + 3*r^3*s*t^3 - 6*r^2*s^2*t^3 + 3*s^2*t^5 - 6*r^4*s*t + 12*r^3*s*t^2 - 12*r^2*s*t^3 + 3*r*s^2*t^3 - 2*s^2*t^4 + r^3*s*t + r^3*t^2 + 3*s*t^4 + r^3*t - 3*r^2*t^2 - s*t^3 + t^3) * k0*k1*k3+  (4) * s * (4*r^10*s^3 - 7*r^9*s^3*t + 3*r^8*s^3*t^2 - 21*r^8*s^3*t + 40*r^7*s^3*t^2 - 22*r^6*s^3*t^3 + 3*r^5*s^3*t^4 + 5*r^8*s^2*t + 5*r^7*s^3*t + 25*r^6*s^3*t^2 - 66*r^5*s^3*t^3 + 50*r^4*s^3*t^4 - 17*r^3*s^3*t^5 + 3*r^2*s^3*t^6 - 12*r^8*s^2 + 25*r^7*s^2*t - 41*r^6*s^2*t^2 - 18*r^5*s^3*t^2 + 10*r^5*s^2*t^3 + 33*r^4*s^3*t^3 - 30*r^3*s^3*t^4 + 24*r^2*s^3*t^5 - 10*r*s^3*t^6 + s^3*t^7 + 4*r^7*s^2 + 26*r^6*s^2*t - 68*r^5*s^2*t^2 + 4*r^4*s^3*t^2 + 97*r^4*s^2*t^3 - 10*r^3*s^3*t^3 - 48*r^3*s^2*t^4 + 18*r^2*s^3*t^4 + 11*r^2*s^2*t^5 - 17*r*s^3*t^5 + 5*s^3*t^6 + 4*r^7*s - 13*r^6*s*t - 12*r^5*s^2*t + 9*r^5*s*t^2 + 16*r^4*s^2*t^2 - 27*r^3*s^2*t^3 + 37*r^2*s^2*t^4 - r*s^3*t^4 - 25*r*s^2*t^5 + s^3*t^5 + 3*s^2*t^6 - 19*r^5*s*t + 45*r^4*s*t^2 - 39*r^3*s*t^3 + 11*r^2*s^2*t^3 + 13*r^2*s*t^4 - 28*r*s^2*t^4 + 14*s^2*t^5 + 2*r^5*t + 5*r^4*s*t + 3*r^3*s*t^2 + 9*r^2*s*t^3 + r*s^2*t^3 - 20*r*s*t^4 + s^2*t^4 + 3*s*t^5 + 4*r^4*t - 8*r^3*t^2 - 3*r^2*s*t^2 + 5*r^2*t^3 - 10*r*s*t^3 + 13*s*t^4 - 4*r^2*t^2 - 5*r*t^3 + t^4 + r*t^2 + 4*t^3) * k0^2*k3+  (8) * s * (-3*r^8*s^5*t^3 + 3*r^7*s^5*t^4 + 27*r^7*s^5*t^3 - 36*r^6*s^5*t^4 + 12*r^5*s^5*t^5 - 3*r^4*s^5*t^6 - 3*r^8*s^4*t^2 + 9*r^7*s^4*t^3 - 108*r^6*s^5*t^3 + 192*r^5*s^5*t^4 - 138*r^4*s^5*t^5 + 72*r^3*s^5*t^6 - 21*r^2*s^5*t^7 + 3*r*s^5*t^8 + 3*r^8*s^5 + 4*r^8*s^4*t - 30*r^7*s^5*t + 32*r^7*s^4*t^2 + 135*r^6*s^5*t^2 - 94*r^6*s^4*t^3 - 108*r^5*s^5*t^3 + 37*r^5*s^4*t^4 + 27*r^4*s^5*t^4 - 11*r^4*s^4*t^5 - 36*r^3*s^5*t^5 + 12*r^2*s^5*t^6 - 3*r*s^5*t^7 + 3*r^8*s^3*t - 10*r^7*s^4*t + 9*r^6*s^5*t + 9*r^7*s^3*t^2 - 147*r^6*s^4*t^2 - 93*r^5*s^5*t^2 + 421*r^5*s^4*t^3 + 57*r^4*s^5*t^3 - 367*r^4*s^4*t^4 + 27*r^3*s^5*t^4 + 242*r^3*s^4*t^5 - 3*r^2*s^5*t^5 - 88*r^2*s^4*t^6 + 3*r*s^5*t^6 + 15*r*s^4*t^7 + 5*r^7*s^3*t + 95*r^6*s^4*t - 3*r^5*s^5*t - 89*r^6*s^3*t^2 - 173*r^5*s^4*t^2 + 57*r^4*s^5*t^2 + 42*r^5*s^3*t^3 + 217*r^4*s^4*t^3 - 45*r^3*s^5*t^3 - 14*r^4*s^3*t^4 - 321*r^3*s^4*t^4 - 6*r^2*s^5*t^4 + 162*r^2*s^4*t^5 - 3*r*s^5*t^5 - 44*r*s^4*t^6 + 4*s^4*t^7 + 3*r^8*s^2 - 9*r^6*s^4 + 3*r^7*s^2*t - 53*r^6*s^3*t - 65*r^5*s^4*t + 314*r^5*s^3*t^2 + 176*r^4*s^4*t^2 - 18*r^3*s^5*t^2 - 336*r^4*s^3*t^3 - 294*r^3*s^4*t^3 + 15*r^2*s^5*t^3 + 293*r^3*s^3*t^4 + 282*r^2*s^4*t^4 + 3*r*s^5*t^4 - 142*r^2*s^3*t^5 - 92*r*s^4*t^5 + 30*r*s^3*t^6 + 12*s^4*t^6 + 3*r^5*s^4 - 40*r^6*s^2*t - 38*r^5*s^3*t + 40*r^4*s^4*t + 24*r^5*s^2*t^2 + 176*r^4*s^3*t^2 - 109*r^3*s^4*t^2 + 3*r^2*s^5*t^2 - 6*r^4*s^2*t^3 - 511*r^3*s^3*t^3 + 183*r^2*s^4*t^3 - 3*r*s^5*t^3 + 380*r^2*s^3*t^4 - 113*r*s^4*t^4 - 127*r*s^3*t^5 + 20*s^4*t^5 + 16*s^3*t^6 + 3*r^5*s^3 + 88*r^5*s^2*t + 53*r^4*s^3*t - 9*r^3*s^4*t - 123*r^4*s^2*t^2 - 298*r^3*s^3*t^2 + 20*r^2*s^4*t^2 + 147*r^3*s^2*t^3 + 516*r^2*s^3*t^3 - 41*r*s^4*t^3 - 108*r^2*s^2*t^4 - 260*r*s^3*t^4 + 12*s^4*t^4 + 30*r*s^2*t^5 + 42*s^3*t^5 - 9*r^6*s + 10*r^5*s*t - 4*r^4*s^2*t - 28*r^3*s^3*t + r^4*s*t^2 - 232*r^3*s^2*t^2 + 143*r^2*s^3*t^2 + 323*r^2*s^2*t^3 - 183*r*s^3*t^3 + 4*s^4*t^3 - 147*r*s^2*t^4 + 52*s^3*t^4 + 24*s^2*t^5 + 3*r^5*s - 16*r^4*s*t - 24*r^3*s^2*t + 3*r^2*s^3*t + 23*r^3*s*t^2 + 236*r^2*s^2*t^2 - 19*r*s^3*t^2 - 37*r^2*s*t^3 - 232*r*s^2*t^3 + 18*s^3*t^3 + 15*r*s*t^4 + 54*s^2*t^4 + 3*r^5 + r^4*t - 6*r^3*s*t + 7*r^2*s^2*t + 94*r^2*s*t^2 - 73*r*s^2*t^2 - 74*r*s*t^3 + 44*s^2*t^3 + 16*s*t^4 - r^3*t + 5*r^2*s*t - 4*r^2*t^2 - 67*r*s*t^2 + 6*s^2*t^2 + 3*r*t^3 + 30*s*t^3 + r^2*t - 13*r*t^2 + 12*s*t^2 + 4*t^3 + 6*t^2) * k2^3+  (8) * (-r^9*s^6*t^3 - 3*r^9*s^6*t^2 + 24*r^8*s^6*t^3 - 24*r^7*s^6*t^4 + 11*r^6*s^6*t^5 - 3*r^9*s^6*t - r^9*s^5*t^2 + 33*r^8*s^6*t^2 - 174*r^7*s^6*t^3 + 247*r^6*s^6*t^4 - 177*r^5*s^6*t^5 + 57*r^4*s^6*t^6 - 11*r^3*s^6*t^7 + 7*r^9*s^6 - 2*r^9*s^5*t - 57*r^8*s^6*t + 36*r^8*s^5*t^2 + 186*r^7*s^6*t^2 - 57*r^7*s^5*t^3 - 156*r^6*s^6*t^3 + 36*r^6*s^5*t^4 + 69*r^5*s^6*t^4 - 33*r^4*s^6*t^5 + 51*r^3*s^6*t^6 - 12*r^2*s^6*t^7 + s^6*t^9 + 3*r^9*s^5 + r^9*s^4*t + 15*r^8*s^5*t + 12*r^7*s^6*t - 243*r^7*s^5*t^2 - 95*r^6*s^6*t^2 + 522*r^6*s^5*t^3 + 15*r^5*s^6*t^3 - 510*r^5*s^5*t^4 + 114*r^4*s^6*t^4 + 204*r^4*s^5*t^5 - 136*r^3*s^6*t^5 - 47*r^3*s^5*t^6 + 27*r^2*s^6*t^6 - 6*r*s^6*t^7 - s^6*t^8 - 3*r^9*s^4 + 12*r^8*s^4*t + 93*r^7*s^5*t - 7*r^6*s^6*t - 45*r^7*s^4*t^2 - 200*r^6*s^5*t^2 + 93*r^5*s^6*t^2 + 43*r^6*s^4*t^3 + 300*r^5*s^5*t^3 - 105*r^4*s^6*t^3 - 312*r^4*s^5*t^4 + 44*r^3*s^6*t^4 + 339*r^3*s^5*t^5 + 24*r^2*s^6*t^5 - 120*r^2*s^5*t^6 + 6*r*s^6*t^6 + 15*r*s^5*t^7 + s^6*t^7 + 4*s^5*t^8 + r^9*s^3 - 21*r^7*s^5 - 78*r^7*s^4*t - 65*r^6*s^5*t + 370*r^6*s^4*t^2 + 264*r^5*s^5*t^2 - 33*r^4*s^6*t^2 - 540*r^5*s^4*t^3 - 360*r^4*s^5*t^3 + 45*r^3*s^6*t^3 + 282*r^4*s^4*t^4 + 151*r^3*s^5*t^4 - 27*r^2*s^6*t^4 - 79*r^3*s^4*t^5 - 129*r^2*s^5*t^5 - 12*r*s^6*t^5 + 27*r*s^5*t^6 - s^6*t^6 - 7*s^5*t^7 - 9*r^7*s^4 + 7*r^6*s^5 - 15*r^7*s^3*t - 7*r^6*s^4*t + 78*r^5*s^5*t + 23*r^6*s^3*t^2 + 165*r^5*s^4*t^2 - 261*r^4*s^5*t^2 + 7*r^3*s^6*t^2 - 447*r^4*s^4*t^3 + 309*r^3*s^5*t^3 - 12*r^2*s^6*t^3 + 644*r^3*s^4*t^4 - 87*r^2*s^5*t^4 + 12*r*s^6*t^4 - 321*r^2*s^4*t^5 + 48*r*s^5*t^5 + s^6*t^5 + 63*r*s^4*t^6 - 3*s^5*t^6 + 5*s^4*t^7 + 9*r^7*s^3 + 10*r^6*s^4 + 93*r^6*s^3*t + 81*r^5*s^4*t - 21*r^4*s^5*t - 258*r^5*s^3*t^2 - 435*r^4*s^4*t^2 + 52*r^3*s^5*t^2 + 192*r^4*s^3*t^3 + 583*r^3*s^4*t^3 - 36*r^2*s^5*t^3 - 66*r^3*s^3*t^4 - 456*r^2*s^4*t^4 - 27*r*s^5*t^4 - s^6*t^4 + 141*r*s^4*t^5 + 4*s^5*t^5 - 21*s^4*t^6 - 3*r^7*s^2 + 6*r^6*s^2*t - 48*r^5*s^3*t - 66*r^4*s^4*t - 141*r^4*s^3*t^2 + 244*r^3*s^4*t^2 + 471*r^3*s^3*t^3 - 201*r^2*s^4*t^3 - 3*r*s^5*t^3 - 363*r^2*s^3*t^4 + 96*r*s^4*t^4 + 4*s^5*t^4 + 102*r*s^3*t^5 - 16*s^4*t^5 - 2*r^6*s^2 - 51*r^5*s^2*t - 30*r^4*s^3*t + 8*r^3*s^4*t + 69*r^4*s^2*t^2 + 299*r^3*s^3*t^2 - 18*r^2*s^4*t^2 - 29*r^3*s^2*t^3 - 411*r^2*s^3*t^3 - 21*r*s^4*t^3 + s^5*t^3 + 195*r*s^3*t^4 + 12*s^4*t^4 - 32*s^3*t^5 + r^6*s + 27*r^4*s^2*t + 14*r^3*s^3*t + 111*r^3*s^2*t^2 - 96*r^2*s^3*t^2 - 3*r*s^4*t^2 - 183*r^2*s^2*t^3 + 72*r*s^3*t^3 + 6*s^4*t^3 + 78*r*s^2*t^4 - 20*s^3*t^4 - 5*s^2*t^5 + 12*r^4*s*t + 3*r^3*s^2*t - 7*r^3*s*t^2 - 111*r^2*s^2*t^2 + 105*r*s^2*t^3 + 8*s^3*t^3 - 25*s^2*t^4 - 4*r^3*s*t - 33*r^2*s*t^2 + 18*r*s^2*t^2 + s^3*t^2 + 27*r*s*t^3 - 9*s^2*t^3 - 4*s*t^4 - r^3*t + 18*r*s*t^2 + s^2*t^2 - 9*s*t^3 + 3*r*t^2 - s*t^2 - t^3 - t^2) * k1*k2^2+  (4) * s * (-3*r^10*s^5*t^2 + 12*r^9*s^5*t^3 - 9*r^8*s^5*t^4 - 6*r^10*s^5*t + 30*r^9*s^5*t^2 - 90*r^8*s^5*t^3 + 90*r^7*s^5*t^4 - 42*r^6*s^5*t^5 + 18*r^5*s^5*t^6 + 27*r^10*s^5 - 2*r^10*s^4*t - 168*r^9*s^5*t + 16*r^9*s^4*t^2 + 513*r^8*s^5*t^2 - 22*r^8*s^4*t^3 - 774*r^7*s^5*t^3 + 693*r^6*s^5*t^4 - 306*r^5*s^5*t^5 + 24*r^3*s^5*t^7 - 9*r^2*s^5*t^8 + 6*r^10*s^4 - 2*r^9*s^4*t - 36*r^8*s^5*t - 97*r^8*s^4*t^2 + 36*r^7*s^5*t^2 + 201*r^7*s^4*t^3 - 126*r^6*s^5*t^3 - 119*r^6*s^4*t^4 + 306*r^5*s^5*t^4 + 67*r^5*s^4*t^5 - 468*r^4*s^5*t^5 + 348*r^3*s^5*t^6 - 54*r^2*s^5*t^7 - 12*r*s^5*t^8 + 6*s^5*t^9 - 3*r^10*s^3 + 4*r^9*s^3*t + 254*r^8*s^4*t - 17*r^8*s^3*t^2 - 939*r^7*s^4*t^2 + 231*r^6*s^5*t^2 + 1372*r^6*s^4*t^3 - 648*r^5*s^5*t^3 - 970*r^5*s^4*t^4 + 837*r^4*s^5*t^4 + 78*r^4*s^4*t^5 - 468*r^3*s^5*t^5 + 77*r^3*s^4*t^6 + 72*r^2*s^5*t^6 - 40*r^2*s^4*t^7 - 24*r*s^5*t^7 - 81*r^8*s^4 - 14*r^8*s^3*t - 21*r^7*s^4*t + 183*r^7*s^3*t^2 + 493*r^6*s^4*t^2 - 126*r^5*s^5*t^2 - 150*r^6*s^3*t^3 - 346*r^5*s^4*t^3 + 360*r^4*s^5*t^3 + 101*r^5*s^3*t^4 - 501*r^4*s^4*t^4 - 474*r^3*s^5*t^4 + 1021*r^3*s^4*t^5 + 252*r^2*s^5*t^5 - 291*r^2*s^4*t^6 - 18*r*s^5*t^6 - 20*r*s^4*t^7 + 6*s^5*t^7 + 26*s^4*t^8 - 18*r^8*s^3 + 27*r^7*s^4 - 4*r^8*s^2*t - 174*r^7*s^3*t + 228*r^6*s^4*t + 615*r^6*s^3*t^2 - 938*r^5*s^4*t^2 + 27*r^4*s^5*t^2 - 987*r^5*s^3*t^3 + 1146*r^4*s^4*t^3 - 78*r^3*s^5*t^3 + 233*r^4*s^3*t^4 - 605*r^3*s^4*t^4 + 117*r^2*s^5*t^4 + 77*r^3*s^3*t^5 - 166*r^2*s^4*t^5 - 66*r*s^5*t^5 - 70*r^2*s^3*t^6 + 36*r*s^4*t^6 - 8*s^4*t^7 + 9*r^8*s^2 + 33*r^7*s^3 + 69*r^7*s^2*t + 220*r^6*s^3*t - 81*r^5*s^4*t - 111*r^6*s^2*t^2 - 737*r^5*s^3*t^2 + 243*r^4*s^4*t^2 + 81*r^5*s^2*t^3 + 527*r^4*s^3*t^3 - 217*r^3*s^4*t^3 + 800*r^3*s^3*t^4 + 135*r^2*s^4*t^4 - 6*r*s^5*t^4 - 491*r^2*s^3*t^5 + 96*r*s^4*t^5 + 6*s^5*t^5 + 20*r*s^3*t^6 - 8*s^4*t^6 + 44*s^3*t^7 + 3*r^7*s^2 - 64*r^6*s^2*t - 229*r^5*s^3*t - 266*r^5*s^2*t^2 + 602*r^4*s^3*t^2 + 222*r^4*s^2*t^3 - 323*r^3*s^3*t^3 - 16*r^2*s^4*t^3 + 9*r^3*s^2*t^4 - 536*r^2*s^3*t^4 - 32*r*s^4*t^4 - 60*r^2*s^2*t^5 + 256*r*s^3*t^5 - 8*s^4*t^5 - 34*s^3*t^6 - 3*r^7*s - 38*r^6*s*t - 81*r^5*s^2*t + 33*r^4*s^3*t + 37*r^5*s*t^2 + 543*r^4*s^2*t^2 - 16*r^3*s^3*t^2 - 23*r^3*s^2*t^3 - 143*r^2*s^3*t^3 + 6*r*s^4*t^3 - 311*r^2*s^2*t^4 + 256*r*s^3*t^4 + 2*s^4*t^4 + 60*r*s^2*t^5 - 58*s^3*t^5 + 36*s^2*t^6 + 57*r^5*s*t + 50*r^4*s^2*t + 57*r^4*s*t^2 - 174*r^3*s^2*t^2 - 18*r^2*s^3*t^2 - 25*r^3*s*t^3 - 288*r^2*s^2*t^3 + 32*r*s^3*t^3 - 25*r^2*s*t^4 + 310*r*s^2*t^4 - 18*s^3*t^4 - 54*s^2*t^5 + 8*r^5*t + 7*r^4*s*t - 150*r^3*s*t^2 - 34*r^2*s^2*t^2 - 43*r^2*s*t^3 + 150*r*s^2*t^3 + 40*r*s*t^4 - 68*s^2*t^4 + 14*s*t^5 - 10*r^4*t - 10*r^3*t^2 + 10*r^2*s*t^2 + 6*r*s^2*t^2 - 4*r^2*t^3 + 116*r*s*t^3 - 10*s^2*t^3 - 38*s*t^4 + 14*r^2*t^2 + 8*r*s*t^2 + 8*r*t^3 - 24*s*t^3 + 2*t^4 + 2*r*t^2 - 10*t^3) * k0*k2^2+  (8) * s * (-r^10*s^5*t^2 + 4*r^9*s^5*t^3 - 3*r^8*s^5*t^4 - 4*r^10*s^5*t + 28*r^9*s^5*t^2 - 81*r^8*s^5*t^3 + 95*r^7*s^5*t^4 - 53*r^6*s^5*t^5 + 15*r^5*s^5*t^6 + 5*r^10*s^5 - 2*r^10*s^4*t - 32*r^9*s^5*t + 8*r^9*s^4*t^2 + 81*r^8*s^5*t^2 - 5*r^8*s^4*t^3 - 69*r^7*s^5*t^3 + 30*r^6*s^5*t^4 - 9*r^5*s^5*t^5 - 5*r^4*s^5*t^6 + 2*r^3*s^5*t^7 - 3*r^2*s^5*t^8 + 4*r^10*s^4 + 20*r^9*s^4*t + 3*r^8*s^5*t - 125*r^8*s^4*t^2 - 21*r^7*s^5*t^2 + 204*r^7*s^4*t^3 - 27*r^6*s^5*t^3 - 161*r^6*s^4*t^4 + 81*r^5*s^5*t^4 + 56*r^5*s^4*t^5 - 77*r^4*s^5*t^5 + 35*r^3*s^5*t^6 + 9*r^2*s^5*t^7 - 5*r*s^5*t^8 + 2*s^5*t^9 - r^10*s^3 + 4*r^9*s^3*t + 7*r^8*s^4*t - 5*r^7*s^5*t - r^8*s^3*t^2 - 53*r^7*s^4*t^2 + 50*r^6*s^5*t^2 + 135*r^6*s^4*t^3 - 69*r^5*s^5*t^3 - 134*r^5*s^4*t^4 + 48*r^4*s^5*t^4 + 64*r^4*s^4*t^5 + 3*r^3*s^5*t^5 - 17*r^3*s^4*t^6 - 27*r^2*s^5*t^6 - 11*r^2*s^4*t^7 + 3*r*s^5*t^7 - 3*s^5*t^8 - 15*r^8*s^4 - 49*r^8*s^3*t - 6*r^7*s^4*t + 146*r^7*s^3*t^2 + 151*r^6*s^4*t^2 - 18*r^5*s^5*t^2 - 183*r^6*s^3*t^3 - 203*r^5*s^4*t^3 + 29*r^4*s^5*t^3 + 82*r^5*s^3*t^4 + 69*r^4*s^4*t^4 - 29*r^3*s^5*t^4 + 16*r^3*s^4*t^5 + 3*r^2*s^5*t^5 + 39*r^2*s^4*t^6 + 13*r*s^5*t^6 - 21*r*s^4*t^7 + 2*s^5*t^7 + 10*s^4*t^8 - 12*r^8*s^3 + 5*r^7*s^4 + r^8*s^2*t + 35*r^7*s^3*t + 49*r^6*s^4*t + 72*r^6*s^3*t^2 - 202*r^5*s^4*t^2 + 5*r^4*s^5*t^2 - 192*r^5*s^3*t^3 + 170*r^4*s^4*t^3 - 11*r^3*s^5*t^3 + 179*r^4*s^3*t^4 - 7*r^3*s^4*t^4 + 18*r^2*s^5*t^4 - 70*r^3*s^3*t^5 - 89*r^2*s^4*t^5 - 9*r*s^5*t^5 - 14*r^2*s^3*t^6 + 20*r*s^4*t^6 - 3*s^5*t^6 - 11*s^4*t^7 + 3*r^8*s^2 + 9*r^7*s^3 + 36*r^7*s^2*t + 48*r^6*s^3*t - 15*r^5*s^4*t - 95*r^6*s^2*t^2 - 277*r^5*s^3*t^2 + 39*r^4*s^4*t^2 + 60*r^5*s^2*t^3 + 282*r^4*s^3*t^3 + 26*r^3*s^4*t^3 - 108*r^3*s^3*t^4 - 45*r^2*s^4*t^4 - 2*r*s^5*t^4 + 68*r^2*s^3*t^5 + 49*r*s^4*t^5 + 2*s^5*t^5 - 34*r*s^3*t^6 + 20*s^3*t^7 + 3*r^7*s^2 - 21*r^6*s^2*t - 53*r^5*s^3*t - 58*r^5*s^2*t^2 + 145*r^4*s^3*t^2 + 145*r^4*s^2*t^3 - 17*r^3*s^3*t^3 - 14*r^2*s^4*t^3 - 88*r^3*s^2*t^4 - 103*r^2*s^3*t^4 - 4*r*s^4*t^4 - 6*r^2*s^2*t^5 + 42*r*s^3*t^5 - 5*s^4*t^5 - 16*s^3*t^6 - r^7*s - 20*r^6*s*t - 33*r^5*s^2*t + 7*r^4*s^3*t + 23*r^5*s*t^2 + 141*r^4*s^2*t^2 + 9*r^3*s^3*t^2 - 118*r^3*s^2*t^3 - 73*r^2*s^3*t^3 + 2*r*s^4*t^3 + 56*r^2*s^2*t^4 + 61*r*s^3*t^4 + 2*s^4*t^4 - 26*r*s^2*t^5 - 8*s^3*t^5 + 20*s^2*t^6 + 9*r^5*s*t + 13*r^4*s^2*t + 34*r^4*s*t^2 - 13*r^3*s^2*t^2 - 6*r^2*s^3*t^2 - 44*r^3*s*t^3 - 51*r^2*s^2*t^3 + 11*r*s^3*t^3 + r^2*s*t^4 + 38*r*s^2*t^4 - 3*s^3*t^4 - 12*s^2*t^5 + 4*r^5*t + 5*r^4*s*t - 29*r^3*s*t^2 - 17*r^2*s^2*t^2 + 19*r^2*s*t^3 + 29*r*s^2*t^3 - 9*r*s*t^4 - 8*s^2*t^4 + 10*s*t^5 - r^4*t - 7*r^3*t^2 - 10*r^2*s*t^2 + 2*r*s^2*t^2 + r^2*t^3 + 15*r*s*t^3 - s^2*t^3 - 5*s*t^4 + r^2*t^2 + 4*r*s*t^2 - r*t^3 - 2*s*t^3 + 2*t^4 + 2*r*t^2 - t^3) * k1^2*k2+  (-8) * s * (3*r^11*s^5*t^2 - 3*r^10*s^5*t^3 + 5*r^11*s^5*t - 31*r^10*s^5*t^2 + 38*r^9*s^5*t^3 - 24*r^8*s^5*t^4 + 12*r^7*s^5*t^5 - 17*r^11*s^5 + 6*r^11*s^4*t + 97*r^10*s^5*t - 6*r^10*s^4*t^2 - 245*r^9*s^5*t^2 + 383*r^8*s^5*t^3 - 295*r^7*s^5*t^4 + 89*r^6*s^5*t^5 - 12*r^4*s^5*t^7 - 5*r^11*s^4 - 23*r^10*s^4*t + 18*r^9*s^5*t + 41*r^9*s^4*t^2 - 43*r^8*s^5*t^2 - 46*r^8*s^4*t^3 + 44*r^7*s^5*t^3 + 32*r^7*s^4*t^4 - 160*r^6*s^5*t^4 + 208*r^5*s^5*t^5 - 110*r^4*s^5*t^6 + 46*r^3*s^5*t^7 - 6*r^2*s^5*t^8 + 3*r*s^5*t^9 + 3*r^11*s^3 - 3*r^10*s^3*t - 73*r^9*s^4*t + 8*r^8*s^5*t + 443*r^8*s^4*t^2 - 139*r^7*s^5*t^2 - 582*r^7*s^4*t^3 + 389*r^6*s^5*t^3 + 290*r^6*s^4*t^4 - 391*r^5*s^5*t^4 - 28*r^5*s^4*t^5 + 173*r^4*s^5*t^5 - 44*r^4*s^4*t^6 + 50*r^3*s^5*t^6 - 128*r^2*s^5*t^7 + 49*r*s^5*t^8 - 11*s^5*t^9 + 51*r^9*s^4 + 2*r^9*s^3*t - 24*r^8*s^4*t - 33*r^8*s^3*t^2 - 359*r^7*s^4*t^2 + 60*r^6*s^5*t^2 + 32*r^7*s^3*t^3 + 204*r^6*s^4*t^3 - 178*r^5*s^5*t^3 + 250*r^5*s^4*t^4 + 218*r^4*s^5*t^4 - 313*r^4*s^4*t^5 - 187*r^3*s^5*t^5 + 192*r^3*s^4*t^6 + 73*r^2*s^5*t^6 - 31*r^2*s^4*t^7 + 10*r*s^5*t^7 + 15*r*s^4*t^8 + 4*s^5*t^8 + 15*r^9*s^3 - 17*r^8*s^4 + 45*r^8*s^3*t - 151*r^7*s^4*t - 241*r^7*s^3*t^2 + 648*r^6*s^4*t^2 - 17*r^5*s^5*t^2 + 272*r^6*s^3*t^3 - 476*r^5*s^4*t^3 + 55*r^4*s^5*t^3 - 61*r^5*s^3*t^4 + 11*r^4*s^4*t^4 - 98*r^3*s^5*t^4 - 64*r^4*s^3*t^5 + 328*r^3*s^4*t^5 + 116*r^2*s^5*t^5 - 471*r^2*s^4*t^6 - 52*r*s^5*t^6 + 199*r*s^4*t^7 - 4*s^5*t^7 - 51*s^4*t^8 - 9*r^9*s^2 - 22*r^8*s^3 - 8*r^8*s^2*t - 122*r^7*s^3*t + 51*r^6*s^4*t + 16*r^7*s^2*t^2 + 434*r^6*s^3*t^2 - 128*r^5*s^4*t^2 - 186*r^5*s^3*t^3 - 93*r^4*s^4*t^3 - 215*r^4*s^3*t^4 + 42*r^3*s^4*t^4 + 8*r^2*s^5*t^4 + 270*r^3*s^3*t^5 + 49*r^2*s^4*t^5 - 19*r*s^5*t^5 - 56*r^2*s^3*t^6 + 56*r*s^4*t^6 + 11*s^5*t^6 + 30*r*s^3*t^7 + 8*s^4*t^7 - 2*r^8*s^2 + 42*r^7*s^2*t + 164*r^6*s^3*t + 46*r^6*s^2*t^2 - 320*r^5*s^3*t^2 - 35*r^5*s^2*t^3 - 159*r^4*s^3*t^3 + 37*r^3*s^4*t^3 - 48*r^4*s^2*t^4 + 536*r^3*s^3*t^4 + 81*r^2*s^4*t^4 - 652*r^2*s^3*t^5 - 108*r*s^4*t^5 + 313*r*s^3*t^6 - 4*s^4*t^6 - 94*s^3*t^7 + 3*r^8*s + 4*r^7*s*t + 49*r^6*s^2*t - 25*r^5*s^3*t - 222*r^5*s^2*t^2 - 67*r^4*s^3*t^2 + 37*r^4*s^2*t^3 + 292*r^3*s^3*t^3 - 8*r^2*s^4*t^3 + 146*r^3*s^2*t^4 - 136*r^2*s^3*t^4 - 11*r*s^4*t^4 - 42*r^2*s^2*t^5 + 99*r*s^3*t^5 + 18*s^4*t^5 + 30*r*s^2*t^6 - 25*r^6*s*t - 34*r^5*s^2*t + r^5*s*t^2 + 5*r^4*s^2*t^2 + 24*r^3*s^3*t^2 - 20*r^4*s*t^3 + 285*r^3*s^2*t^3 - 33*r^2*s^3*t^3 - 407*r^2*s^2*t^4 - 53*r*s^3*t^4 + 235*r*s^2*t^5 + 4*s^3*t^5 - 86*s^2*t^6 - 6*r^5*s*t + 49*r^4*s*t^2 + 65*r^3*s^2*t^2 + 20*r^3*s*t^3 - 124*r^2*s^2*t^3 - 10*r^2*s*t^4 + 70*r*s^2*t^4 + 7*s^3*t^4 + 15*r*s*t^5 - 8*s^2*t^5 + 3*r^5*t - 4*r^4*t^2 + 27*r^3*s*t^2 - 8*r^2*s^2*t^2 - 102*r^2*s*t^3 + 3*r*s^2*t^3 + 82*r*s*t^4 + 4*s^2*t^4 - 39*s*t^5 - 2*r^3*t^2 - 12*r^2*s*t^2 + r^2*t^3 + 17*r*s*t^3 + 3*r*t^4 - 4*s*t^4 - 4*r^2*t^2 + 10*r*t^3 - 7*t^4) * k0*k1*k2+  (-24) * s * (r^12*s^5*t - 5*r^11*s^5*t^2 + 7*r^10*s^5*t^3 - 3*r^9*s^5*t^4 - 6*r^12*s^5 + 26*r^11*s^5*t - 49*r^10*s^5*t^2 + 66*r^9*s^5*t^3 - 62*r^8*s^5*t^4 + 28*r^7*s^5*t^5 - 3*r^6*s^5*t^6 - r^12*s^4 - 3*r^11*s^4*t + 21*r^10*s^5*t + 10*r^10*s^4*t^2 - 76*r^9*s^5*t^2 - 8*r^9*s^4*t^3 + 94*r^8*s^5*t^3 - 74*r^7*s^5*t^4 + 76*r^6*s^5*t^5 - 55*r^5*s^5*t^6 + 17*r^4*s^5*t^7 - 3*r^3*s^5*t^8 - 15*r^10*s^4*t - 3*r^9*s^5*t + 78*r^9*s^4*t^2 - 32*r^8*s^5*t^2 - 126*r^8*s^4*t^3 + 148*r^7*s^5*t^3 + 90*r^7*s^4*t^4 - 191*r^6*s^5*t^4 - 15*r^6*s^4*t^5 + 91*r^5*s^5*t^5 - 26*r^4*s^5*t^6 + 18*r^3*s^5*t^7 - 7*r^2*s^5*t^8 + 2*r*s^5*t^9 + 18*r^10*s^4 + 3*r^10*s^3*t - 44*r^9*s^4*t - 7*r^9*s^3*t^2 + 28*r^8*s^4*t^2 + 24*r^7*s^5*t^2 - 53*r^7*s^4*t^3 - 86*r^6*s^5*t^3 + 133*r^6*s^4*t^4 + 121*r^5*s^5*t^4 - 166*r^5*s^4*t^5 - 134*r^4*s^5*t^5 + 68*r^4*s^4*t^6 + 151*r^3*s^5*t^6 - 14*r^3*s^4*t^7 - 103*r^2*s^5*t^7 + 32*r*s^5*t^8 - 5*s^5*t^9 + 3*r^10*s^3 - 6*r^9*s^4 + 6*r^9*s^3*t - 40*r^8*s^4*t - 64*r^8*s^3*t^2 + 194*r^7*s^4*t^2 - 6*r^6*s^5*t^2 + 96*r^7*s^3*t^3 - 253*r^6*s^4*t^3 + 23*r^5*s^5*t^3 - 27*r^6*s^3*t^4 + 126*r^5*s^4*t^4 - 46*r^4*s^5*t^4 + 6*r^4*s^4*t^5 + 76*r^3*s^5*t^5 + 22*r^3*s^4*t^6 - 80*r^2*s^5*t^6 - 17*r^2*s^4*t^7 + 37*r*s^5*t^7 + 8*r*s^4*t^8 - 4*s^5*t^8 - 7*r^9*s^3 - 2*r^9*s^2*t - r^8*s^3*t + 18*r^7*s^4*t + 54*r^7*s^3*t^2 - 51*r^6*s^4*t^2 + 16*r^6*s^3*t^3 + 37*r^5*s^4*t^3 - 160*r^5*s^3*t^4 - 89*r^4*s^4*t^4 + 3*r^3*s^5*t^4 + 102*r^4*s^3*t^5 + 235*r^3*s^4*t^5 - 11*r^2*s^5*t^5 - 26*r^3*s^3*t^6 - 271*r^2*s^4*t^6 + 13*r*s^5*t^6 + 113*r*s^4*t^7 - 5*s^5*t^7 - 22*s^4*t^8 - r^9*s^2 + 45*r^7*s^3*t + 34*r^7*s^2*t^2 - 128*r^6*s^3*t^2 - 21*r^6*s^2*t^3 + 27*r^5*s^3*t^3 + 123*r^4*s^3*t^4 + 58*r^3*s^4*t^4 - 48*r^3*s^3*t^5 - 132*r^2*s^4*t^5 - 3*r^2*s^3*t^6 + 102*r*s^4*t^6 + 12*r*s^3*t^7 - 16*s^4*t^7 + 12*r^7*s^2*t - 9*r^6*s^3*t - 44*r^6*s^2*t^2 - 10*r^5*s^3*t^2 - 42*r^5*s^2*t^3 + 66*r^4*s^3*t^3 - 3*r^3*s^4*t^3 + 68*r^4*s^2*t^4 + 38*r^3*s^3*t^4 - 3*r^2*s^4*t^4 - 24*r^3*s^2*t^5 - 226*r^2*s^3*t^5 + 16*r*s^4*t^5 + 147*r*s^3*t^6 - 12*s^4*t^6 - 38*s^3*t^7 - 12*r^6*s^2*t - 6*r^6*s*t^2 + 10*r^5*s^2*t^2 + 9*r^4*s^3*t^2 + 103*r^4*s^2*t^3 - 7*r^3*s^3*t^3 - 92*r^3*s^2*t^4 - 49*r^2*s^3*t^4 + 23*r^2*s^2*t^5 + 93*r*s^3*t^5 + 8*r*s^2*t^6 - 24*s^3*t^6 - 3*r^6*s*t + 7*r^5*s*t^2 + 21*r^4*s^2*t^2 + 17*r^4*s*t^3 - 51*r^3*s^2*t^3 - 11*r^3*s*t^4 - 51*r^2*s^2*t^4 + 3*r*s^3*t^4 + 83*r*s^2*t^5 - 9*s^3*t^5 - 32*s^2*t^6 + 12*r^4*s*t^2 - 3*r^3*s^2*t^2 - 42*r^3*s*t^3 + 3*r^2*s^2*t^3 + 22*r^2*s*t^4 + 28*r*s^2*t^4 + 2*r*s*t^5 - 16*s^2*t^5 - 5*r^3*s*t^2 - 2*r^3*t^3 + 7*r^2*s*t^3 + 17*r*s*t^4 - 2*s^2*t^4 - 13*s*t^5 - 2*r^3*t^2 + 6*r^2*t^3 - 4*s*t^4 - 2*t^4) * k0^2*k2+  (8) * s * (-r^11*s^5*t + 5*r^10*s^5*t^2 - 10*r^9*s^5*t^3 + 9*r^8*s^5*t^4 - 3*r^7*s^5*t^5 + r^11*s^5 - 5*r^10*s^5*t + 10*r^9*s^5*t^2 - 7*r^8*s^5*t^3 - r^7*s^5*t^4 + 5*r^6*s^5*t^5 - 6*r^5*s^5*t^6 + 3*r^4*s^5*t^7 + r^11*s^4 + 5*r^10*s^4*t - 20*r^9*s^4*t^2 - r^8*s^5*t^2 + 23*r^8*s^4*t^3 - 4*r^7*s^5*t^3 - 8*r^7*s^4*t^4 + 8*r^6*s^5*t^4 - 2*r^5*s^5*t^5 - 2*r^4*s^5*t^6 + 4*r^3*s^5*t^7 - 3*r^2*s^5*t^8 - 7*r^9*s^4*t - r^8*s^5*t + 8*r^7*s^5*t^2 + 18*r^7*s^4*t^3 - 10*r^6*s^5*t^3 - 16*r^6*s^4*t^4 + 2*r^5*s^5*t^4 - 12*r^5*s^4*t^5 + 8*r^4*s^5*t^5 + 11*r^4*s^4*t^6 - 16*r^3*s^5*t^6 + 10*r^2*s^5*t^7 - 2*r*s^5*t^8 + s^5*t^9 - 3*r^9*s^4 - 10*r^9*s^3*t + 4*r^8*s^4*t + 19*r^8*s^3*t^2 + 36*r^7*s^4*t^2 - 3*r^6*s^5*t^2 - 8*r^7*s^3*t^3 - 53*r^6*s^4*t^3 + 5*r^5*s^5*t^3 + 34*r^5*s^4*t^4 - 7*r^4*s^5*t^4 - 3*r^4*s^4*t^5 + 8*r^3*s^5*t^5 + 13*r^3*s^4*t^6 - 2*r^2*s^5*t^6 - 13*r^2*s^4*t^7 + r*s^5*t^7 - 2*s^5*t^8 - 3*r^9*s^3 + r^8*s^4 + 12*r^8*s^3*t + 9*r^7*s^4*t + 15*r^7*s^3*t^2 - 47*r^6*s^4*t^2 + r^5*s^5*t^2 - 36*r^6*s^3*t^3 + 18*r^5*s^4*t^3 - 2*r^4*s^5*t^3 - 6*r^5*s^3*t^4 + 25*r^4*s^4*t^4 + 4*r^3*s^5*t^4 + 16*r^4*s^3*t^5 - 56*r^3*s^4*t^5 - 4*r^2*s^5*t^5 + 34*r^2*s^4*t^6 - r*s^5*t^6 - 9*r*s^4*t^7 + 2*s^5*t^7 + 5*s^4*t^8 + 2*r^8*s^3 + 5*r^8*s^2*t + 10*r^7*s^3*t - 3*r^6*s^4*t - 4*r^7*s^2*t^2 - 64*r^6*s^3*t^2 + 9*r^5*s^4*t^2 + 56*r^5*s^3*t^3 + 22*r^4*s^4*t^3 + r^4*s^3*t^4 - 16*r^3*s^4*t^4 - r^2*s^5*t^4 + 14*r^3*s^3*t^5 + 9*r^2*s^4*t^5 + 2*r*s^5*t^5 - 22*r^2*s^3*t^6 - s^5*t^6 - 6*s^4*t^7 + r^8*s^2 - 13*r^6*s^3*t - 16*r^6*s^2*t^2 + 26*r^5*s^3*t^2 + 30*r^4*s^3*t^3 - 9*r^3*s^4*t^3 + 12*r^4*s^2*t^4 - 70*r^3*s^3*t^4 - r^2*s^4*t^4 + 45*r^2*s^3*t^5 - 16*r*s^3*t^6 + 4*s^4*t^6 + 10*s^3*t^7 - r^7*s*t - 11*r^6*s^2*t + 2*r^5*s^3*t + 22*r^5*s^2*t^2 + 9*r^4*s^3*t^2 + 5*r^4*s^2*t^3 - 36*r^3*s^3*t^3 + r^2*s^4*t^3 + 4*r^3*s^2*t^4 + 22*r^2*s^3*t^4 + 2*r*s^4*t^4 - 18*r^2*s^2*t^5 - 4*r*s^3*t^5 - 2*s^4*t^5 - 6*s^3*t^6 - r^6*s*t + 4*r^5*s^2*t + 11*r^4*s^2*t^2 - 3*r^3*s^3*t^2 + 5*r^4*s*t^3 - 38*r^3*s^2*t^3 + 6*r^2*s^3*t^3 + 29*r^2*s^2*t^4 + r*s^3*t^4 - 14*r*s^2*t^5 + 2*s^3*t^5 + 10*s^2*t^6 + 2*r^5*s*t + 3*r^4*s*t^2 - 10*r^3*s^2*t^2 - 2*r^3*s*t^3 + 13*r^2*s^2*t^3 - 7*r^2*s*t^4 - 4*r*s^2*t^4 - s^3*t^4 - 2*s^2*t^5 + r^4*t^2 - 8*r^3*s*t^2 + r^2*s^2*t^2 + 9*r^2*s*t^3 - 6*r*s*t^4 + 5*s*t^5 - r^3*t^2 + 2*r^2*s*t^2 - r^2*t^3 - r*s*t^3 + r^2*t^2 - r*t^3 + t^4) * k1^3+  (-4) * (r^12*s^6*t^2 + 4*r^12*s^6*t - 18*r^11*s^6*t^2 + 12*r^10*s^6*t^3 - 6*r^9*s^6*t^4 - 11*r^12*s^6 + 2*r^12*s^5*t + 54*r^11*s^6*t - 114*r^10*s^6*t^2 + 164*r^9*s^6*t^3 - 81*r^8*s^6*t^4 + 6*r^7*s^6*t^5 + 10*r^6*s^6*t^6 - 4*r^12*s^5 - 18*r^11*s^5*t + 12*r^10*s^6*t + 21*r^10*s^5*t^2 - 34*r^9*s^6*t^2 - 13*r^9*s^5*t^3 - 36*r^7*s^6*t^4 - 16*r^6*s^6*t^5 + 36*r^5*s^6*t^6 - 12*r^4*s^6*t^7 - 6*r^3*s^6*t^8 + r^12*s^4 + 8*r^9*s^6*t + 175*r^9*s^5*t^2 - 81*r^8*s^6*t^2 - 198*r^8*s^5*t^3 + 216*r^7*s^6*t^3 + 45*r^7*s^5*t^4 - 135*r^6*s^6*t^4 + 22*r^6*s^5*t^5 + 18*r^5*s^6*t^5 + 126*r^4*s^6*t^6 - 140*r^3*s^6*t^7 + 63*r^2*s^6*t^8 - 6*r*s^6*t^9 + s^6*t^10 + 33*r^10*s^5 + 6*r^10*s^4*t - 47*r^9*s^5*t - 7*r^9*s^4*t^2 - 240*r^8*s^5*t^2 + 30*r^7*s^6*t^2 + 189*r^7*s^5*t^3 - 100*r^6*s^6*t^3 - 55*r^6*s^5*t^4 + 126*r^5*s^6*t^4 + 108*r^5*s^5*t^5 - 216*r^4*s^6*t^5 - 45*r^4*s^5*t^6 + 164*r^3*s^6*t^6 - 25*r^3*s^5*t^7 - 72*r^2*s^6*t^7 + 24*r*s^6*t^8 - 12*s^6*t^9 + 12*r^10*s^4 - 11*r^9*s^5 - 12*r^9*s^4*t - 96*r^8*s^5*t - 93*r^8*s^4*t^2 + 459*r^7*s^5*t^2 - 11*r^6*s^6*t^2 + 39*r^7*s^4*t^3 - 208*r^6*s^5*t^3 + 36*r^5*s^6*t^3 + 20*r^6*s^4*t^4 - 144*r^5*s^5*t^4 - 60*r^4*s^6*t^4 + 318*r^4*s^5*t^5 + 104*r^3*s^6*t^5 - 455*r^3*s^5*t^6 - 45*r^2*s^6*t^6 + 264*r^2*s^5*t^7 - 12*r*s^6*t^7 - 33*r*s^5*t^8 + 16*s^6*t^8 + 6*s^5*t^9 - 3*r^10*s^3 - 15*r^9*s^4 + r^9*s^3*t - 54*r^8*s^4*t + 33*r^7*s^5*t + 288*r^7*s^4*t^2 - 83*r^6*s^5*t^2 - 123*r^6*s^4*t^3 - 174*r^5*s^5*t^3 + 156*r^5*s^4*t^4 + 27*r^4*s^5*t^4 + 10*r^3*s^6*t^4 - 84*r^4*s^4*t^5 + 239*r^3*s^5*t^5 - 36*r^2*s^6*t^5 - 39*r^3*s^4*t^6 - 132*r^2*s^5*t^6 + 30*r*s^6*t^6 + 57*r*s^5*t^7 - 12*s^6*t^7 - 49*s^5*t^8 - 3*r^9*s^3 + 12*r^8*s^3*t + 117*r^7*s^4*t - 9*r^7*s^3*t^2 - 229*r^6*s^4*t^2 + 16*r^6*s^3*t^3 - 210*r^5*s^4*t^3 + 66*r^4*s^5*t^3 + 300*r^4*s^4*t^4 + 55*r^3*s^5*t^4 - 546*r^3*s^4*t^5 - 102*r^2*s^5*t^5 + 438*r^2*s^4*t^6 - 27*r*s^5*t^6 + s^6*t^6 - 75*r*s^4*t^7 + 52*s^5*t^7 + 15*s^4*t^8 + r^9*s^2 + 39*r^7*s^3*t - 21*r^6*s^4*t - 77*r^6*s^3*t^2 - 84*r^5*s^4*t^2 + 108*r^5*s^3*t^3 + 318*r^4*s^4*t^3 - 10*r^3*s^5*t^3 - 90*r^4*s^3*t^4 - 9*r^3*s^4*t^4 - 24*r^2*s^5*t^4 - 26*r^3*s^3*t^5 - 18*r^2*s^4*t^5 + 45*r*s^5*t^5 + 18*r*s^4*t^6 - 25*s^5*t^6 - 75*s^4*t^7 - 9*r^7*s^2*t - 28*r^6*s^3*t + 10*r^6*s^2*t^2 - 36*r^5*s^3*t^2 + 30*r^4*s^4*t^2 + 126*r^4*s^3*t^3 - 54*r^3*s^4*t^3 - 288*r^3*s^3*t^4 - 45*r^2*s^4*t^4 + 360*r^2*s^3*t^5 - 27*r*s^4*t^5 + 2*s^5*t^5 - 90*r*s^3*t^6 + 62*s^4*t^6 + 20*s^3*t^7 - 5*r^6*s^2*t + 24*r^5*s^2*t^2 + 75*r^4*s^3*t^2 - 48*r^4*s^2*t^3 - 95*r^3*s^3*t^3 - 4*r^3*s^2*t^4 + 72*r^2*s^3*t^4 + 12*r*s^4*t^4 - 48*r*s^3*t^5 - 13*s^4*t^5 - 50*s^3*t^6 + 2*r^6*s*t + 18*r^4*s^2*t^2 - 9*r^3*s^3*t^2 - 58*r^3*s^2*t^3 + 12*r^2*s^3*t^3 + 147*r^2*s^2*t^4 - 21*r*s^3*t^4 + s^4*t^4 - 60*r*s^2*t^5 + 34*s^3*t^5 + 15*s^2*t^6 - 9*r^4*s*t^2 - 11*r^3*s^2*t^2 + 3*r^3*s*t^3 + 30*r^2*s^2*t^3 - 3*r*s^3*t^3 - 42*r*s^2*t^4 + s^3*t^4 - 10*s^2*t^5 - r^3*s*t^2 + 24*r^2*s*t^3 - 9*r*s^2*t^3 - 21*r*s*t^4 + 10*s^2*t^4 + 6*s*t^5 + r^3*t^2 - 9*r*s*t^3 + s^2*t^3 + 3*s*t^4 - 3*r*t^3 + 2*s*t^3 + t^4 + t^3) * k0*k1^2+  (-8) * s * (r^13*s^5*t - 4*r^12*s^5*t^2 + 3*r^11*s^5*t^3 - 10*r^13*s^5 + 40*r^12*s^5*t - 60*r^11*s^5*t^2 + 54*r^10*s^5*t^3 - 24*r^9*s^5*t^4 - r^13*s^4 - 4*r^12*s^4*t + 30*r^11*s^5*t + 6*r^11*s^4*t^2 - 109*r^10*s^5*t^2 + 109*r^9*s^5*t^3 - 36*r^8*s^5*t^4 - 11*r^7*s^5*t^5 + 17*r^6*s^5*t^6 - 12*r^11*s^4*t + r^10*s^5*t + 68*r^10*s^4*t^2 - 58*r^9*s^5*t^2 - 68*r^9*s^4*t^3 + 225*r^8*s^5*t^3 + 6*r^8*s^4*t^4 - 243*r^7*s^5*t^4 + 84*r^6*s^5*t^5 + 18*r^5*s^5*t^6 - 33*r^4*s^5*t^7 + 9*r^3*s^5*t^8 - 3*r^2*s^5*t^9 + 30*r^11*s^4 + 3*r^11*s^3*t - 75*r^10*s^4*t + 20*r^9*s^4*t^2 + 27*r^8*s^5*t^2 + 3*r^8*s^4*t^3 - 114*r^7*s^5*t^3 - 11*r^7*s^4*t^4 + 180*r^6*s^5*t^4 + 54*r^6*s^4*t^5 - 288*r^5*s^5*t^5 - 6*r^5*s^4*t^6 + 349*r^4*s^5*t^6 - 223*r^3*s^5*t^7 + 78*r^2*s^5*t^8 - 11*r*s^5*t^9 + 2*s^5*t^10 + 3*r^11*s^3 - 10*r^10*s^4 - 7*r^10*s^3*t - 77*r^9*s^4*t - 42*r^9*s^3*t^2 + 360*r^8*s^4*t^2 - 10*r^7*s^5*t^2 + 12*r^8*s^3*t^3 - 391*r^7*s^4*t^3 + 43*r^6*s^5*t^3 + 143*r^6*s^4*t^4 - 81*r^5*s^5*t^4 + 45*r^5*s^4*t^5 + 144*r^4*s^5*t^5 - 118*r^4*s^4*t^6 - 132*r^3*s^5*t^6 + 43*r^3*s^4*t^7 + 33*r^2*s^5*t^7 - 15*r^2*s^4*t^8 + 13*r*s^5*t^8 - 10*s^5*t^9 - 11*r^10*s^3 + 18*r^9*s^3*t + 30*r^8*s^4*t + 93*r^8*s^3*t^2 - 66*r^7*s^4*t^2 - 41*r^7*s^3*t^3 - 38*r^6*s^4*t^3 + 64*r^6*s^3*t^4 - 126*r^5*s^4*t^4 + 8*r^4*s^5*t^4 - 18*r^5*s^3*t^5 + 534*r^4*s^4*t^5 - 41*r^3*s^5*t^5 - 548*r^3*s^4*t^6 + 54*r^2*s^5*t^6 + 264*r^2*s^4*t^7 - 31*r*s^5*t^7 - 45*r*s^4*t^8 + 10*s^5*t^8 + 10*s^4*t^9 - r^10*s^2 + 2*r^9*s^2*t + 84*r^8*s^3*t + 6*r^8*s^2*t^2 - 266*r^7*s^3*t^2 + 79*r^6*s^3*t^3 + 18*r^5*s^4*t^3 + 84*r^5*s^3*t^4 + 97*r^4*s^4*t^4 - 171*r^4*s^3*t^5 - 204*r^3*s^4*t^5 + 80*r^3*s^3*t^6 + 90*r^2*s^4*t^6 + 2*r*s^5*t^6 - 30*r^2*s^3*t^7 + 34*r*s^4*t^7 - 2*s^5*t^7 - 41*s^4*t^8 + 6*r^8*s^2*t - 18*r^7*s^3*t - 43*r^7*s^2*t^2 - 45*r^6*s^3*t^2 + 34*r^6*s^2*t^3 + 201*r^5*s^3*t^3 - 8*r^4*s^4*t^3 - 18*r^5*s^2*t^4 + 66*r^4*s^3*t^4 - 19*r^3*s^4*t^4 - 390*r^3*s^3*t^5 + 63*r^2*s^4*t^5 + 321*r^2*s^3*t^6 - 66*r*s^4*t^6 - 70*r*s^3*t^7 + 31*s^4*t^7 + 20*s^3*t^8 - 20*r^7*s^2*t + 56*r^6*s^2*t^2 + 24*r^5*s^3*t^2 + 57*r^5*s^2*t^3 - 31*r^4*s^3*t^3 - 121*r^4*s^2*t^4 - 39*r^3*s^3*t^4 + 72*r^3*s^2*t^5 + 66*r^2*s^3*t^5 + 4*r*s^4*t^5 - 30*r^2*s^2*t^6 + 26*r*s^3*t^6 - 4*s^4*t^6 - 64*s^3*t^7 - 2*r^7*s*t + 7*r^6*s*t^2 + 39*r^5*s^2*t^2 - 6*r^5*s*t^3 - 126*r^4*s^2*t^3 - 28*r^3*s^2*t^4 + 3*r^2*s^3*t^4 + 159*r^2*s^2*t^5 - 37*r*s^3*t^5 - 50*r*s^2*t^6 + 33*s^3*t^6 + 20*s^2*t^7 - 6*r^4*s^2*t^2 - 36*r^4*s*t^3 + 33*r^3*s^2*t^3 + 31*r^3*s*t^4 - 6*r^2*s^2*t^4 + 2*r*s^3*t^4 - 15*r^2*s*t^5 + 4*r*s^2*t^5 - 2*s^3*t^5 - 46*s^2*t^6 - 7*r^4*s*t^2 + 37*r^3*s*t^3 - 6*r^2*s^2*t^3 + 21*r^2*s*t^4 - 15*r*s*t^5 + 13*s^2*t^5 + 10*s*t^6 - r^4*t^2 + 5*r^3*t^3 - 15*r^2*s*t^3 - 3*r^2*t^4 + r*s*t^4 - 14*s*t^5 - 3*r^2*t^3 + 2*r*s*t^3 - r*t^4 + s*t^4 + 2*t^5 + 2*r*t^3 - t^4) * k0^2*k1+  (-4) * s * (-15*r^14*s^5 + 48*r^13*s^5*t - 51*r^12*s^5*t^2 + 18*r^11*s^5*t^3 + 72*r^12*s^5*t - 234*r^11*s^5*t^2 + 252*r^10*s^5*t^3 - 90*r^9*s^5*t^4 - 26*r^12*s^4*t - 12*r^11*s^5*t + 38*r^11*s^4*t^2 - 75*r^10*s^5*t^2 - 8*r^10*s^4*t^3 + 330*r^9*s^5*t^3 - 375*r^8*s^5*t^4 + 120*r^7*s^5*t^5 + 12*r^6*s^5*t^6 + 45*r^12*s^4 - 155*r^11*s^4*t + 293*r^10*s^4*t^2 + 54*r^9*s^5*t^2 - 251*r^9*s^4*t^3 - 186*r^8*s^5*t^3 + 52*r^8*s^4*t^4 + 318*r^7*s^5*t^4 - 8*r^7*s^4*t^5 - 510*r^6*s^5*t^5 + 630*r^5*s^5*t^6 - 414*r^4*s^5*t^7 + 126*r^3*s^5*t^8 - 18*r^2*s^5*t^9 - 15*r^11*s^4 - 8*r^11*s^3*t - 92*r^10*s^4*t - 8*r^10*s^3*t^2 + 444*r^9*s^4*t^2 - 15*r^8*s^5*t^2 - 716*r^8*s^4*t^3 + 66*r^7*s^5*t^3 + 479*r^7*s^4*t^4 - 159*r^6*s^5*t^4 - 64*r^6*s^4*t^5 + 282*r^5*s^5*t^5 + 32*r^5*s^4*t^6 - 285*r^4*s^5*t^6 - 8*r^4*s^4*t^7 + 120*r^3*s^5*t^7 - 6*r^2*s^5*t^8 - 6*r*s^5*t^9 + 3*s^5*t^10 - 15*r^11*s^3 + 100*r^10*s^3*t + 45*r^9*s^4*t - 101*r^9*s^3*t^2 - 103*r^8*s^4*t^2 + 60*r^8*s^3*t^3 + 103*r^7*s^4*t^3 - 16*r^7*s^3*t^4 - 430*r^6*s^4*t^4 + 12*r^5*s^5*t^4 + 1059*r^5*s^4*t^5 - 60*r^4*s^5*t^5 - 1135*r^4*s^4*t^6 + 102*r^3*s^5*t^6 + 461*r^3*s^4*t^7 - 84*r^2*s^5*t^7 - 80*r^2*s^4*t^8 + 42*r*s^5*t^8 - 12*s^5*t^9 + 4*r^10*s^2*t + 97*r^9*s^3*t - 422*r^8*s^3*t^2 + 461*r^7*s^3*t^3 - 24*r^6*s^4*t^3 - 116*r^6*s^3*t^4 + 239*r^5*s^4*t^4 + 56*r^5*s^3*t^5 - 424*r^4*s^4*t^5 - 24*r^4*s^3*t^6 + 274*r^3*s^4*t^6 + 3*r^2*s^5*t^6 + 14*r^2*s^4*t^7 - 6*r*s^5*t^7 - 35*r*s^4*t^8 + 3*s^5*t^8 + 16*s^4*t^9 - 20*r^9*s^2*t - 27*r^8*s^3*t - 4*r^8*s^2*t^2 - 30*r^7*s^3*t^2 - 4*r^7*s^2*t^3 + 121*r^6*s^3*t^3 - 12*r^5*s^4*t^3 + 243*r^5*s^3*t^4 - 16*r^4*s^4*t^4 - 942*r^4*s^3*t^5 + 87*r^3*s^4*t^5 + 603*r^3*s^3*t^6 - 147*r^2*s^4*t^6 - 136*r^2*s^3*t^7 + 111*r*s^4*t^7 - 47*s^4*t^8 - 26*r^8*s^2*t + 170*r^7*s^2*t^2 + 36*r^6*s^3*t^2 - 52*r^6*s^2*t^3 - 4*r^5*s^3*t^3 + 4*r^5*s^2*t^4 - 77*r^4*s^3*t^4 - 20*r^4*s^2*t^5 + 169*r^3*s^3*t^5 + 10*r^2*s^4*t^5 + 67*r^2*s^3*t^6 - 16*r*s^4*t^6 - 73*r*s^3*t^7 + 10*s^4*t^7 + 34*s^3*t^8 + 4*r^7*s*t^2 + 29*r^6*s^2*t^2 - 181*r^5*s^2*t^3 - 167*r^4*s^2*t^4 - 20*r^3*s^3*t^4 + 323*r^3*s^2*t^5 - 51*r^2*s^3*t^5 - 108*r^2*s^2*t^6 + 88*r*s^3*t^6 - 69*s^3*t^7 - 24*r^6*s*t^2 - 9*r^5*s^2*t^2 - 20*r^5*s*t^3 + 54*r^4*s^2*t^3 - 8*r^3*s^2*t^4 + 3*r^2*s^3*t^4 + 72*r^2*s^2*t^5 - 10*r*s^3*t^5 - 69*r*s^2*t^6 + 11*s^3*t^6 + 36*s^2*t^7 - 7*r^5*s*t^2 + 54*r^4*s*t^3 - 9*r^3*s^2*t^3 + 51*r^3*s*t^4 + 15*r^2*s^2*t^4 - 38*r^2*s*t^5 + 11*r*s^2*t^5 - 45*s^2*t^6 + 4*r^4*t^3 - 23*r^3*s*t^3 + 29*r^2*s*t^4 - 29*r*s*t^5 + 4*s^2*t^5 + 19*s*t^6 - 4*r^3*t^3 + 3*r^2*s*t^3 - 4*r^2*t^4 - 8*r*s*t^4 - 11*s*t^5 + 4*r^2*t^3 - 4*r*t^4 + 4*t^5) * k0^3;

Xi1old := (r^6*s^2 - 6*r^4*s^2*t + 2*r^3*s^2*t^2 + 2*r^3*s^2*t + 9*r^2*s^2*t^2 - 6*r*s^2*t^3 + s^2*t^4 - 3*r^4*s + 3*r^3*s*t - 6*r*s^2*t^2 + 2*s^2*t^3 + r^3*s + 6*r^2*s*t - 9*r*s*t^2 + s^2*t^2 + 2*s*t^3 + r^3 - 3*r*s*t + 3*s*t^2 - 3*r*t + t^2 + t) * k1*k3^2+  (4) * s * (-2*r^8*s^3*t + 2*r^7*s^3*t^2 - r^8*s^3 + 16*r^7*s^3*t - 27*r^6*s^3*t^2 + 20*r^5*s^3*t^3 - 8*r^4*s^3*t^4 + 2*r^8*s^2 + 2*r^7*s^2*t - 18*r^6*s^3*t + 30*r^5*s^3*t^2 - 24*r^4*s^3*t^3 + 12*r^3*s^3*t^4 - 2*r^2*s^3*t^5 + 2*r*s^3*t^6 - 32*r^6*s^2*t + 10*r^5*s^3*t + 34*r^5*s^2*t^2 - 13*r^4*s^3*t^2 - 17*r^4*s^2*t^3 + 12*r^3*s^3*t^3 - 8*r^2*s^3*t^4 + 2*r*s^3*t^5 - 3*s^3*t^6 + 3*r^6*s^2 + 41*r^5*s^2*t - 54*r^4*s^2*t^2 - 6*r^3*s^3*t^2 + 29*r^3*s^2*t^3 + 8*r^2*s^3*t^3 - 5*r^2*s^2*t^4 - 8*r*s^3*t^4 + 6*r*s^2*t^5 + 6*s^3*t^5 - 6*r^6*s - r^5*s^2 + 16*r^5*s*t - 29*r^4*s^2*t - 10*r^4*s*t^2 + 26*r^3*s^2*t^2 - r^2*s^3*t^2 + 14*r^2*s^2*t^3 + 4*r*s^3*t^3 - 15*r*s^2*t^4 - 3*s^3*t^4 - 5*s^2*t^5 + r^5*s - 21*r^4*s*t + 3*r^3*s^2*t + 18*r^3*s*t^2 + 14*r^2*s^2*t^2 - 4*r^2*s*t^3 - 37*r*s^2*t^3 + 6*r*s*t^4 + 20*s^2*t^4 + 2*r^5 - r^4*t + 16*r^3*s*t + 9*r^2*s*t^2 - 24*r*s*t^3 + s^2*t^3 - s*t^4 + r^3*t - r^2*s*t - r^2*t^2 - 17*r*s*t^2 + 2*r*t^3 + 18*s*t^3 - r^2*t - 7*r*t^2 + t^3 + 4*t^2) * k1*k2*k3+  (-4) * s * (r^7*s^3*t - 4*r^6*s^3*t^2 + 3*r^5*s^3*t^3 + 2*r^7*s^3 - 14*r^6*s^3*t + 39*r^5*s^3*t^2 - 37*r^4*s^3*t^3 + 13*r^3*s^3*t^4 - 3*r^2*s^3*t^5 - r^7*s^2 - 4*r^6*s^2*t + 3*r^5*s^3*t + 6*r^5*s^2*t^2 - 21*r^4*s^3*t^2 + 9*r^3*s^3*t^3 + 15*r^2*s^3*t^4 - 8*r*s^3*t^5 + 2*s^3*t^6 + 39*r^5*s^2*t - 2*r^4*s^3*t - 65*r^4*s^2*t^2 + 23*r^3*s^3*t^2 + 31*r^3*s^2*t^3 - 21*r^2*s^3*t^3 - 9*r^2*s^2*t^4 + r*s^3*t^4 - s^3*t^5 - 6*r^5*s^2 + 3*r^5*s*t - 28*r^4*s^2*t + 33*r^3*s^2*t^2 - 9*r^2*s^3*t^2 + 18*r^2*s^2*t^3 + 8*r*s^3*t^3 - 17*r*s^2*t^4 + s^3*t^4 + 6*s^2*t^5 + 3*r^5*s + 2*r^4*s^2 - 29*r^4*s*t + 25*r^3*s^2*t + 23*r^3*s*t^2 - 33*r^2*s^2*t^2 + 2*r*s^3*t^2 - 9*r^2*s*t^3 + 5*r*s^2*t^3 - 2*s^3*t^3 - 3*s^2*t^4 + r^4*s + 21*r^3*s*t - 6*r^2*s^2*t + 5*r*s^2*t^2 - 10*r*s*t^3 + 2*s^2*t^3 + 6*s*t^4 - r^4 + 5*r^3*t - 15*r^2*s*t - 3*r^2*t^2 + 6*r*s*t^2 - 3*s*t^3 - 3*r^2*t + 2*r*s*t - r*t^2 + s*t^2 + 2*t^3 + 2*r*t - t^2) * k2^2*k3+  (4) * (-r^9*s^4*t - 4*r^9*s^4 + 16*r^8*s^4*t - 11*r^7*s^4*t^2 + 5*r^6*s^4*t^3 + r^9*s^3 + 6*r^7*s^4*t - 35*r^6*s^4*t^2 + 17*r^5*s^4*t^3 + 2*r^4*s^4*t^4 - 5*r^3*s^4*t^5 - 15*r^7*s^3*t + 4*r^6*s^4*t + 10*r^6*s^3*t^2 - 22*r^5*s^4*t^2 + 92*r^4*s^4*t^3 - 87*r^3*s^4*t^4 + 37*r^2*s^4*t^5 - 5*r*s^4*t^6 + s^4*t^7 + 12*r^7*s^3 - r^6*s^3*t + 3*r^5*s^3*t^2 + 6*r^4*s^4*t^2 + 12*r^4*s^3*t^3 - 35*r^3*s^4*t^3 - 15*r^3*s^3*t^4 + 17*r^2*s^4*t^4 + 2*r*s^4*t^5 - 5*s^4*t^6 - 3*r^7*s^2 - 4*r^6*s^3 + 6*r^6*s^2*t - 42*r^5*s^3*t + 84*r^4*s^3*t^2 - 4*r^3*s^4*t^2 - 105*r^3*s^3*t^3 + 16*r^2*s^4*t^3 + 54*r^2*s^3*t^4 - 11*r*s^4*t^4 - 3*r*s^3*t^5 + 5*s^4*t^5 + 2*s^3*t^6 - 3*r^6*s^2 - 7*r^5*s^2*t + 12*r^4*s^3*t + 14*r^4*s^2*t^2 - r^3*s^3*t^2 - 16*r^3*s^2*t^3 + 3*r^2*s^3*t^3 + 12*r*s^3*t^4 - s^4*t^4 - 15*s^3*t^5 + r^6*s + 26*r^4*s^2*t - 34*r^3*s^2*t^2 + 14*r^2*s^2*t^3 - 15*r*s^3*t^3 + 12*r*s^2*t^4 + 10*s^3*t^4 + 4*r^4*s*t - 3*r^3*s^2*t - 7*r^3*s*t^2 - 7*r^2*s^2*t^2 + 14*r*s^2*t^3 + s^3*t^3 - 16*s^2*t^4 - 4*r^3*s*t - 3*r^2*s*t^2 - 3*r*s^2*t^2 + 13*r*s*t^3 + 6*s^2*t^3 - 2*s*t^4 - r^3*t + 4*r*s*t^2 - 7*s*t^3 + 3*r*t^2 + s*t^2 - t^3 - t^2) * k0*k2*k3+  (4) * s * (-r^9*s^3 + 5*r^8*s^3*t - 7*r^7*s^3*t^2 + 3*r^6*s^3*t^3 - 3*r^7*s^3*t + 4*r^6*s^3*t^2 - 2*r^5*s^3*t^3 + 4*r^4*s^3*t^4 - 3*r^3*s^3*t^5 - 3*r^7*s^2*t + 4*r^6*s^3*t + 4*r^6*s^2*t^2 - 8*r^5*s^3*t^2 + 10*r^4*s^3*t^3 - 10*r^3*s^3*t^4 + 2*r^2*s^3*t^5 + 2*r*s^3*t^6 + 3*r^7*s^2 + 6*r^6*s^2*t - 18*r^5*s^2*t^2 - 3*r^4*s^3*t^2 + 12*r^4*s^2*t^3 + 4*r^3*s^3*t^3 - 7*r^3*s^2*t^4 - 2*r^2*s^3*t^4 + 4*r*s^3*t^5 - 3*s^3*t^6 - r^6*s^2 + r^6*s*t - 15*r^5*s^2*t + 24*r^4*s^2*t^2 - r^3*s^3*t^2 - 5*r^3*s^2*t^3 + 5*r^2*s^3*t^3 - 3*r^2*s^2*t^4 - 7*r*s^3*t^4 + 6*r*s^2*t^5 + 3*s^3*t^5 - r^6*s - 8*r^5*s*t + 3*r^4*s^2*t + 10*r^4*s*t^2 + 6*r^3*s^2*t^2 - 5*r^3*s*t^3 - 18*r^2*s^2*t^3 + 12*r*s^2*t^4 - 7*s^2*t^5 + 10*r^4*s*t - 2*r^3*s*t^2 - 8*r^2*s*t^3 - 3*r*s^2*t^3 + 6*r*s*t^4 + 4*s^2*t^4 + 2*r^4*t - r^3*s*t - r^3*t^2 - 8*r^2*s*t^2 + 10*r*s*t^3 - 5*s*t^4 - r^3*t - 3*r^2*t^2 + 2*r*t^3 + s*t^3 + 2*r*t^2 - t^3) * k1^2*k3+  (4) * s * (-r^10*s^3 + 4*r^9*s^3*t - 3*r^8*s^3*t^2 - 6*r^8*s^3*t + 8*r^7*s^3*t^2 - 8*r^6*s^3*t^3 + 6*r^5*s^3*t^4 + r^8*s^2*t + 10*r^7*s^3*t - 13*r^6*s^3*t^2 + 12*r^5*s^3*t^3 - 8*r^4*s^3*t^4 + 2*r^3*s^3*t^5 - 3*r^2*s^3*t^6 + 3*r^8*s^2 + 14*r^7*s^2*t - 37*r^6*s^2*t^2 - 18*r^5*s^3*t^2 + 20*r^5*s^2*t^3 + 30*r^4*s^3*t^3 - 24*r^3*s^3*t^4 + 12*r^2*s^3*t^5 - 2*r*s^3*t^6 + 2*s^3*t^7 - r^7*s^2 - 29*r^6*s^2*t + 26*r^5*s^2*t^2 - r^4*s^3*t^2 + 14*r^4*s^2*t^3 + 16*r^3*s^3*t^3 - 15*r^3*s^2*t^4 - 27*r^2*s^3*t^4 - 5*r^2*s^2*t^5 + 20*r*s^3*t^5 - 8*s^3*t^6 - r^7*s - 17*r^6*s*t + 3*r^5*s^2*t + 18*r^5*s*t^2 + 41*r^4*s^2*t^2 - 54*r^3*s^2*t^3 + 29*r^2*s^2*t^4 - 2*r*s^3*t^4 - 5*r*s^2*t^5 + 2*s^3*t^5 + 6*s^2*t^6 + 16*r^5*s*t + 9*r^4*s*t^2 - 24*r^3*s*t^3 - 32*r^2*s^2*t^3 - r^2*s*t^4 + 34*r*s^2*t^4 - 17*s^2*t^5 + 4*r^5*t + r^4*s*t - 21*r^3*s*t^2 + 18*r^2*s*t^3 + 2*r*s^2*t^3 - 4*r*s*t^4 + 2*s^2*t^4 + 6*s*t^5 - r^4*t - 7*r^3*t^2 - 6*r^2*s*t^2 + r^2*t^3 + 16*r*s*t^3 - 10*s*t^4 + r^2*t^2 - r*t^3 + 2*t^4 + 2*r*t^2 - t^3) * k0*k1*k3+  (-4) * s * (2*r^11*s^3 - 2*r^10*s^3*t - 9*r^9*s^3*t + 8*r^8*s^3*t^2 + r^7*s^3*t^3 - 2*r^8*s^3*t + 23*r^7*s^3*t^2 - 21*r^6*s^3*t^3 + r^5*s^3*t^4 - r^4*s^3*t^5 - 6*r^9*s^2 + 5*r^8*s^2*t + 2*r^7*s^2*t^2 + 3*r^6*s^3*t^2 - 21*r^5*s^3*t^3 + 9*r^4*s^3*t^4 + 15*r^3*s^3*t^5 - 8*r^2*s^3*t^6 + 2*r*s^3*t^7 + 2*r^8*s^2 + 25*r^7*s^2*t - 33*r^6*s^2*t^2 + 2*r^5*s^3*t^2 + 5*r^5*s^2*t^3 - 14*r^4*s^3*t^3 - 3*r^4*s^2*t^4 + 39*r^3*s^3*t^4 - 37*r^2*s^3*t^5 + 13*r*s^3*t^6 - 3*s^3*t^7 + 2*r^8*s + r^7*s*t - 6*r^6*s^2*t - 28*r^5*s^2*t^2 + 33*r^4*s^2*t^3 + 18*r^3*s^2*t^4 + r^2*s^3*t^4 - 17*r^2*s^2*t^5 - 4*r*s^3*t^5 + 6*r*s^2*t^6 + 3*s^3*t^6 - 15*r^6*s*t + 6*r^5*s*t^2 - 3*r^4*s*t^3 + 39*r^3*s^2*t^3 - 65*r^2*s^2*t^4 + 31*r*s^2*t^5 - 9*s^2*t^6 + r^5*s*t + 21*r^4*s*t^2 - r^2*s^2*t^3 - 10*r^2*s*t^4 - 4*r*s^2*t^4 + 6*r*s*t^5 + 6*s^2*t^5 + 2*r^5*t - r^4*t^2 + 3*r^3*s*t^2 - 29*r^2*s*t^3 + 23*r*s*t^4 - 9*s*t^5 - 3*r^3*t^2 - r^2*t^3 + 2*r*t^4 + 3*s*t^4 - r^2*t^2 + 5*r*t^3 - 3*t^4) * k0^2*k3+  (-8) * s * (-3*r^9*s^5*t^2 + 15*r^8*s^5*t^3 - 21*r^7*s^5*t^4 + 9*r^6*s^5*t^5 - 3*r^9*s^5*t + 33*r^8*s^5*t^2 - 138*r^7*s^5*t^3 + 219*r^6*s^5*t^4 - 150*r^5*s^5*t^5 + 48*r^4*s^5*t^6 - 9*r^3*s^5*t^7 + 6*r^9*s^5 - 2*r^9*s^4*t - 48*r^8*s^5*t + 20*r^8*s^4*t^2 + 150*r^7*s^5*t^2 - 45*r^7*s^4*t^3 - 156*r^6*s^5*t^3 + 29*r^6*s^4*t^4 + 60*r^5*s^5*t^4 - 66*r^4*s^5*t^5 + 78*r^3*s^5*t^6 - 30*r^2*s^5*t^7 + 6*r*s^5*t^8 + 3*r^9*s^4 + 11*r^8*s^4*t + 9*r^7*s^5*t - 168*r^7*s^4*t^2 - 66*r^6*s^5*t^2 + 434*r^6*s^4*t^3 + 15*r^5*s^5*t^3 - 422*r^5*s^4*t^4 + 150*r^4*s^5*t^4 + 168*r^4*s^4*t^5 - 135*r^3*s^5*t^5 - 38*r^3*s^4*t^6 + 36*r^2*s^5*t^6 - 9*r*s^5*t^7 - 3*r^9*s^3 + 5*r^8*s^3*t + 76*r^7*s^4*t - 6*r^6*s^5*t - 27*r^7*s^3*t^2 - 198*r^6*s^4*t^2 + 75*r^5*s^5*t^2 + 33*r^6*s^3*t^3 + 205*r^5*s^4*t^3 - 105*r^4*s^5*t^3 - 253*r^4*s^4*t^4 + 15*r^3*s^5*t^4 + 301*r^3*s^4*t^5 + 15*r^2*s^5*t^5 - 129*r^2*s^4*t^6 + 6*r*s^5*t^6 + 28*r*s^4*t^7 - 18*r^7*s^4 - 35*r^7*s^3*t - 48*r^6*s^4*t + 259*r^6*s^3*t^2 + 207*r^5*s^4*t^2 - 27*r^4*s^5*t^2 - 418*r^5*s^3*t^3 - 167*r^4*s^4*t^3 + 45*r^3*s^5*t^3 + 220*r^4*s^3*t^4 + 9*r^3*s^4*t^4 - 9*r^2*s^5*t^4 - 62*r^3*s^3*t^5 - 5*r^2*s^4*t^5 - 9*r*s^5*t^5 - 20*r*s^4*t^6 + 2*s^4*t^7 - 9*r^7*s^3 + 6*r^6*s^4 - 3*r^7*s^2*t - 21*r^6*s^3*t + 65*r^5*s^4*t + 15*r^6*s^2*t^2 + 107*r^5*s^3*t^2 - 221*r^4*s^4*t^2 + 6*r^3*s^5*t^2 - 258*r^4*s^3*t^3 + 242*r^3*s^4*t^3 - 12*r^2*s^5*t^3 + 408*r^3*s^3*t^4 - 98*r^2*s^4*t^4 + 6*r*s^5*t^4 - 213*r^2*s^3*t^5 + 38*r*s^4*t^5 + 52*r*s^3*t^6 - 2*s^4*t^6 + 9*r^7*s^2 + 9*r^6*s^3 + 41*r^6*s^2*t + 61*r^5*s^3*t - 18*r^4*s^4*t - 170*r^5*s^2*t^2 - 294*r^4*s^3*t^2 + 45*r^3*s^4*t^2 + 132*r^4*s^2*t^3 + 327*r^3*s^3*t^3 - 43*r^2*s^4*t^3 - 48*r^3*s^2*t^4 - 183*r^2*s^3*t^4 + 2*r*s^4*t^4 + 12*r*s^3*t^5 + 2*s^4*t^5 + 4*s^3*t^6 + 2*r^6*s*t - 28*r^5*s^2*t - 51*r^4*s^3*t - 54*r^4*s^2*t^2 + 210*r^3*s^3*t^2 + 223*r^3*s^2*t^3 - 185*r^2*s^3*t^3 + 4*r*s^4*t^3 - 165*r^2*s^2*t^4 + 70*r*s^3*t^4 - 2*s^4*t^4 + 48*r*s^2*t^5 - 8*s^3*t^5 - 3*r^6*s - 24*r^5*s*t - 20*r^4*s^2*t + 6*r^3*s^3*t + 36*r^4*s*t^2 + 185*r^3*s^2*t^2 - 29*r^2*s^3*t^2 - 17*r^3*s*t^3 - 193*r^2*s^2*t^3 + 5*r*s^3*t^3 + 52*r*s^2*t^4 + 6*s^3*t^4 + 17*r^4*s*t + 10*r^3*s^2*t + 36*r^3*s*t^2 - 86*r^2*s^2*t^2 - 57*r^2*s*t^3 + 50*r*s^2*t^3 + 2*s^3*t^3 + 22*r*s*t^4 - 10*s^2*t^4 + 4*r^4*t + 2*r^3*s*t - 2*r^3*t^2 - 51*r^2*s*t^2 + 8*r*s^2*t^2 + 33*r*s*t^3 + 4*s^2*t^3 - 4*s*t^4 - 2*r^3*t - 6*r^2*t^2 + 12*r*s*t^2 + 4*r*t^3 - 4*s*t^3 + 4*r*t^2 - 2*t^3) * k2^3+  (-4) * s * (-5*r^10*s^5*t^2 + 14*r^9*s^5*t^3 - 9*r^8*s^5*t^4 - 14*r^10*s^5*t + 134*r^9*s^5*t^2 - 390*r^8*s^5*t^3 + 484*r^7*s^5*t^4 - 292*r^6*s^5*t^5 + 78*r^5*s^5*t^6 + 19*r^10*s^5 + 2*r^10*s^4*t - 148*r^9*s^5*t + 16*r^9*s^4*t^2 + 339*r^8*s^5*t^2 - 16*r^8*s^4*t^3 - 258*r^7*s^5*t^3 + 57*r^6*s^5*t^4 - 30*r^5*s^5*t^5 + 56*r^4*s^5*t^6 - 26*r^3*s^5*t^7 - 9*r^2*s^5*t^8 + 14*r^10*s^4 + 82*r^9*s^4*t + 60*r^8*s^5*t - 571*r^8*s^4*t^2 - 180*r^7*s^5*t^2 + 1017*r^7*s^4*t^3 + 6*r^6*s^5*t^3 - 823*r^6*s^4*t^4 + 294*r^5*s^5*t^4 + 277*r^5*s^4*t^5 - 292*r^4*s^5*t^5 + 88*r^3*s^5*t^6 + 18*r^2*s^5*t^7 + 2*r*s^5*t^8 + 4*s^5*t^9 - 5*r^10*s^3 + 2*r^9*s^3*t + 44*r^8*s^4*t - 46*r^7*s^5*t - 5*r^8*s^3*t^2 - 205*r^7*s^4*t^2 + 229*r^6*s^5*t^2 + 402*r^6*s^4*t^3 - 306*r^5*s^5*t^3 - 442*r^5*s^4*t^4 + 183*r^4*s^5*t^4 + 374*r^4*s^4*t^5 - 42*r^3*s^5*t^5 - 157*r^3*s^4*t^6 + 24*r^2*s^5*t^6 - 34*r^2*s^4*t^7 - 36*r*s^5*t^7 - 6*s^5*t^8 - 57*r^8*s^4 - 206*r^8*s^3*t - 99*r^7*s^4*t + 679*r^7*s^3*t^2 + 863*r^6*s^4*t^2 - 36*r^5*s^5*t^2 - 828*r^6*s^3*t^3 - 1066*r^5*s^4*t^3 + 34*r^4*s^5*t^3 + 371*r^5*s^3*t^4 + 387*r^4*s^4*t^4 + 32*r^3*s^5*t^4 - 97*r^3*s^4*t^5 - 102*r^2*s^5*t^5 + 135*r^2*s^4*t^6 + 68*r*s^5*t^6 - 6*r*s^4*t^7 + 4*s^5*t^7 + 20*s^4*t^8 - 42*r^8*s^3 + 19*r^7*s^4 + 2*r^8*s^2*t + 124*r^7*s^3*t + 230*r^6*s^4*t + 291*r^6*s^3*t^2 - 896*r^5*s^4*t^2 + 19*r^4*s^5*t^2 - 645*r^5*s^3*t^3 + 646*r^4*s^4*t^3 - 52*r^3*s^5*t^3 + 667*r^4*s^3*t^4 + 151*r^3*s^4*t^4 + 69*r^2*s^5*t^4 - 329*r^3*s^3*t^5 - 232*r^2*s^4*t^5 - 30*r*s^5*t^5 - 46*r^2*s^3*t^6 - 26*r*s^4*t^6 - 6*s^5*t^6 - 22*s^4*t^7 + 15*r^8*s^2 + 33*r^7*s^3 + 141*r^7*s^2*t + 246*r^6*s^3*t - 57*r^5*s^4*t - 355*r^6*s^2*t^2 - 1319*r^5*s^3*t^2 + 105*r^4*s^4*t^2 + 231*r^5*s^2*t^3 + 1179*r^4*s^3*t^3 + 283*r^3*s^4*t^3 - 510*r^3*s^3*t^4 - 501*r^2*s^4*t^4 - 4*r*s^5*t^4 + 283*r^2*s^3*t^5 + 302*r*s^4*t^5 + 4*s^5*t^5 - 32*r*s^3*t^6 - 24*s^4*t^6 + 40*s^3*t^7 + 9*r^7*s^2 - 42*r^6*s^2*t - 217*r^5*s^3*t - 218*r^5*s^2*t^2 + 614*r^4*s^3*t^2 + 434*r^4*s^2*t^3 + 125*r^3*s^3*t^3 - 40*r^2*s^4*t^3 - 305*r^3*s^2*t^4 - 536*r^2*s^3*t^4 + 4*r*s^4*t^4 - 24*r^2*s^2*t^5 + 138*r*s^3*t^5 - 10*s^4*t^5 - 44*s^3*t^6 - 5*r^7*s - 58*r^6*s*t - 153*r^5*s^2*t + 23*r^4*s^3*t + 67*r^5*s*t^2 + 531*r^4*s^2*t^2 + 42*r^3*s^3*t^2 - 389*r^3*s^2*t^3 - 425*r^2*s^3*t^3 + 4*r*s^4*t^3 + 235*r^2*s^2*t^4 + 416*r*s^3*t^4 + 4*s^4*t^4 - 40*r*s^2*t^5 - 88*s^3*t^5 + 40*s^2*t^6 + 15*r^5*s*t + 44*r^4*s^2*t + 83*r^4*s*t^2 - 44*r^3*s^2*t^2 - 12*r^2*s^3*t^2 - 121*r^3*s*t^3 - 276*r^2*s^2*t^3 + 34*r*s^3*t^3 - r^2*s*t^4 + 178*r*s^2*t^4 - 18*s^3*t^4 - 48*s^2*t^5 + 8*r^5*t + 19*r^4*s*t - 64*r^3*s*t^2 - 46*r^2*s^2*t^2 + 71*r^2*s*t^3 + 154*r*s^2*t^3 - 18*r*s*t^4 - 76*s^2*t^4 + 20*s*t^5 - 2*r^4*t - 14*r^3*t^2 - 32*r^2*s*t^2 + 4*r*s^2*t^2 + 2*r^2*t^3 + 54*r*s*t^3 - 2*s^2*t^3 - 22*s*t^4 + 2*r^2*t^2 + 8*r*s*t^2 - 2*r*t^3 - 16*s*t^3 + 4*t^4 + 4*r*t^2 - 2*t^3) * k1*k2^2+  (8) * s * (3*r^11*s^5*t^2 - 3*r^10*s^5*t^3 + 6*r^11*s^5*t - 42*r^10*s^5*t^2 + 60*r^9*s^5*t^3 - 39*r^8*s^5*t^4 + 15*r^7*s^5*t^5 - 18*r^11*s^5 + 2*r^11*s^4*t + 108*r^10*s^5*t - 4*r^10*s^4*t^2 - 258*r^9*s^5*t^2 + 402*r^8*s^5*t^3 - 336*r^7*s^5*t^4 + 114*r^6*s^5*t^5 + 3*r^5*s^5*t^6 - 15*r^4*s^5*t^7 - 6*r^11*s^4 - 22*r^10*s^4*t + 9*r^9*s^5*t + 70*r^9*s^4*t^2 - 57*r^8*s^5*t^2 - 75*r^8*s^4*t^3 + 96*r^7*s^5*t^3 + 41*r^7*s^4*t^4 - 246*r^6*s^5*t^4 + 357*r^5*s^5*t^5 - 237*r^4*s^5*t^6 + 84*r^3*s^5*t^7 - 9*r^2*s^5*t^8 + 3*r*s^5*t^9 + 3*r^11*s^3 - r^10*s^3*t - 64*r^9*s^4*t + 18*r^8*s^5*t + 423*r^8*s^4*t^2 - 153*r^7*s^5*t^2 - 604*r^7*s^4*t^3 + 465*r^6*s^5*t^3 + 301*r^6*s^4*t^4 - 552*r^5*s^5*t^4 - 6*r^5*s^4*t^5 + 312*r^4*s^5*t^5 - 56*r^4*s^4*t^6 - 66*r^3*s^5*t^6 - 30*r^2*s^5*t^7 + 12*r*s^5*t^8 - 6*s^5*t^9 + 54*r^9*s^4 + 11*r^9*s^3*t - 21*r^8*s^4*t - 51*r^8*s^3*t^2 - 421*r^7*s^4*t^2 + 45*r^6*s^5*t^2 + 42*r^7*s^3*t^3 + 262*r^6*s^4*t^3 - 168*r^5*s^5*t^3 + 384*r^5*s^4*t^4 + 192*r^4*s^5*t^4 - 529*r^4*s^4*t^5 - 93*r^3*s^5*t^5 + 269*r^3*s^4*t^6 - 3*r^2*s^5*t^6 - 31*r^2*s^4*t^7 + 24*r*s^5*t^7 + 13*r*s^4*t^8 + 3*s^5*t^8 + 18*r^9*s^3 - 18*r^8*s^4 + 42*r^8*s^3*t - 171*r^7*s^4*t - 255*r^7*s^3*t^2 + 733*r^6*s^4*t^2 - 18*r^5*s^5*t^2 + 247*r^6*s^3*t^3 - 573*r^5*s^4*t^3 + 72*r^4*s^5*t^3 - 17*r^5*s^3*t^4 + 50*r^4*s^4*t^4 - 114*r^3*s^5*t^4 - 83*r^4*s^3*t^5 + 241*r^3*s^4*t^5 + 102*r^2*s^5*t^5 - 261*r^2*s^4*t^6 - 39*r*s^5*t^6 + 77*r*s^4*t^7 - 3*s^5*t^7 - 28*s^4*t^8 - 9*r^9*s^2 - 24*r^8*s^3 - 12*r^8*s^2*t - 160*r^7*s^3*t + 54*r^6*s^4*t + 21*r^7*s^2*t^2 + 550*r^6*s^3*t^2 - 114*r^5*s^4*t^2 - 215*r^5*s^3*t^3 - 155*r^4*s^4*t^3 - 293*r^4*s^3*t^4 + 193*r^3*s^4*t^4 + 3*r^2*s^5*t^4 + 295*r^3*s^3*t^5 - 132*r^2*s^4*t^5 - 9*r*s^5*t^5 - 35*r^2*s^3*t^6 + 104*r*s^4*t^6 + 6*s^5*t^6 + 22*r*s^3*t^7 + 2*s^4*t^7 - 3*r^8*s^2 + 25*r^7*s^2*t + 173*r^6*s^3*t + 44*r^6*s^2*t^2 - 332*r^5*s^3*t^2 - 3*r^5*s^2*t^3 - 256*r^4*s^3*t^3 + 8*r^3*s^4*t^3 - 63*r^4*s^2*t^4 + 677*r^3*s^3*t^4 + 107*r^2*s^4*t^4 - 586*r^2*s^3*t^5 - 94*r*s^4*t^5 + 190*r*s^3*t^6 + s^4*t^6 - 56*s^3*t^7 + 3*r^8*s + 5*r^7*s*t + 76*r^6*s^2*t - 21*r^5*s^3*t - 246*r^5*s^2*t^2 - 62*r^4*s^3*t^2 + 41*r^4*s^2*t^3 + 337*r^3*s^3*t^3 - 3*r^2*s^4*t^3 + 120*r^3*s^2*t^4 - 271*r^2*s^3*t^4 - 11*r*s^4*t^4 - 9*r^2*s^2*t^5 + 169*r*s^3*t^5 + 10*s^4*t^5 + 18*r*s^2*t^6 - 14*s^3*t^6 - 16*r^6*s*t - 32*r^5*s^2*t + 6*r^5*s*t^2 - 18*r^4*s^2*t^2 + 9*r^3*s^3*t^2 - 26*r^4*s*t^3 + 384*r^3*s^2*t^3 - 5*r^2*s^3*t^3 - 484*r^2*s^2*t^4 - 69*r*s^3*t^4 + 210*r*s^2*t^5 + 13*s^3*t^5 - 60*s^2*t^6 - 10*r^5*s*t + 42*r^4*s*t^2 + 52*r^3*s^2*t^2 + 11*r^3*s*t^3 - 144*r^2*s^2*t^3 + 8*r^2*s*t^4 + 116*r*s^2*t^4 + 8*s^3*t^4 + 7*r*s*t^5 - 24*s^2*t^5 + r^5*t - 5*r^4*t^2 + 32*r^3*s*t^2 - 3*r^2*s^2*t^2 - 134*r^2*s*t^3 - 8*r*s^2*t^3 + 98*r*s*t^4 + 11*s^2*t^4 - 34*s*t^5 + r^3*t^2 - 8*r^2*s*t^2 + 4*r^2*t^3 + 27*r*s*t^3 + r*t^4 - 13*s*t^4 - 5*r^2*t^2 + 13*r*t^3 + 2*s*t^3 - 8*t^4 - 2*t^3) * k0*k2^2+  (-8) * s * (r^11*s^5*t^2 - r^10*s^5*t^3 - 8*r^11*s^5*t + 38*r^10*s^5*t^2 - 81*r^9*s^5*t^3 + 73*r^8*s^5*t^4 - 22*r^7*s^5*t^5 + 7*r^11*s^5 + 2*r^11*s^4*t - 37*r^10*s^5*t - 2*r^10*s^4*t^2 + 72*r^9*s^5*t^2 - 36*r^8*s^5*t^3 - 12*r^7*s^5*t^4 + 30*r^6*s^5*t^5 - 46*r^5*s^5*t^6 + 22*r^4*s^5*t^7 + 8*r^11*s^4 + 28*r^10*s^4*t + 9*r^9*s^5*t - 135*r^9*s^4*t^2 - 21*r^8*s^5*t^2 + 162*r^8*s^4*t^3 - 36*r^7*s^5*t^3 - 58*r^7*s^4*t^4 + 63*r^6*s^5*t^4 - 31*r^5*s^5*t^5 + 10*r^4*s^5*t^6 + 30*r^3*s^5*t^7 - 25*r^2*s^5*t^8 + r*s^5*t^9 + r^11*s^3 - r^10*s^3*t - 54*r^9*s^4*t - 16*r^8*s^5*t + 29*r^8*s^4*t^2 + 70*r^7*s^5*t^2 + 72*r^7*s^4*t^3 - 90*r^6*s^5*t^3 - 45*r^6*s^4*t^4 + 81*r^5*s^5*t^4 - 112*r^5*s^4*t^5 - 21*r^4*s^5*t^5 + 80*r^4*s^4*t^6 - 45*r^3*s^5*t^6 + 9*r^2*s^5*t^7 + 9*r*s^5*t^8 + 3*s^5*t^9 - 21*r^9*s^4 - 69*r^9*s^3*t + 18*r^8*s^4*t + 118*r^8*s^3*t^2 + 290*r^7*s^4*t^2 - 3*r^6*s^5*t^2 - 54*r^7*s^3*t^3 - 417*r^6*s^4*t^3 - 11*r^5*s^5*t^3 + 195*r^5*s^4*t^4 + 14*r^4*s^5*t^4 + 2*r^4*s^4*t^5 - 36*r^3*s^5*t^5 + 108*r^3*s^4*t^6 + 59*r^2*s^5*t^6 - 105*r^2*s^4*t^7 - 14*r*s^5*t^7 + 5*r*s^4*t^8 - 9*s^5*t^8 - 24*r^9*s^3 + 7*r^8*s^4 + 82*r^8*s^3*t + 74*r^7*s^4*t + 96*r^7*s^3*t^2 - 357*r^6*s^4*t^2 + 7*r^5*s^5*t^2 - 153*r^6*s^3*t^3 + 172*r^5*s^4*t^3 - 25*r^4*s^5*t^3 - 89*r^5*s^3*t^4 + 190*r^4*s^4*t^4 + 51*r^3*s^5*t^4 + 112*r^4*s^3*t^5 - 300*r^3*s^4*t^5 - 39*r^2*s^5*t^5 + 79*r^2*s^4*t^6 - 3*r*s^5*t^6 + 20*r*s^4*t^7 + 9*s^5*t^7 + 15*s^4*t^8 - 3*r^9*s^2 + 15*r^8*s^3 + 30*r^8*s^2*t + 96*r^7*s^3*t - 21*r^6*s^4*t - 22*r^7*s^2*t^2 - 489*r^6*s^3*t^2 + 39*r^5*s^4*t^2 + 360*r^5*s^3*t^3 + 208*r^4*s^4*t^3 + 3*r^4*s^3*t^4 - 288*r^3*s^4*t^4 - 4*r^2*s^5*t^4 + 126*r^3*s^3*t^5 + 215*r^2*s^4*t^5 + 7*r*s^5*t^5 - 170*r^2*s^3*t^6 - 54*r*s^4*t^6 - 3*s^5*t^6 + 10*r*s^3*t^7 - 24*s^4*t^7 + 9*r^8*s^2 + 18*r^7*s^2*t - 93*r^6*s^3*t - 93*r^6*s^2*t^2 + 176*r^5*s^3*t^2 - 25*r^5*s^2*t^3 + 245*r^4*s^3*t^3 - 36*r^3*s^4*t^3 + 76*r^4*s^2*t^4 - 495*r^3*s^3*t^4 - 11*r^2*s^4*t^4 + 189*r^2*s^3*t^5 + 2*r*s^4*t^5 + 4*r*s^3*t^6 + 15*s^4*t^6 + 30*s^3*t^7 + r^8*s - 4*r^7*s*t - 87*r^6*s^2*t + 11*r^5*s^3*t + 141*r^5*s^2*t^2 + 57*r^4*s^3*t^2 + 34*r^4*s^2*t^3 - 270*r^3*s^3*t^3 + 4*r^2*s^4*t^3 + 42*r^3*s^2*t^4 + 269*r^2*s^3*t^4 + 7*r*s^4*t^4 - 130*r^2*s^2*t^5 - 82*r*s^3*t^5 - 6*s^4*t^5 + 10*r*s^2*t^6 - 24*s^3*t^6 - 15*r^6*s*t + 23*r^5*s^2*t - r^5*s*t^2 + 70*r^4*s^2*t^2 - 12*r^3*s^3*t^2 + 26*r^4*s*t^3 - 264*r^3*s^2*t^3 + 28*r^2*s^3*t^3 + 169*r^2*s^2*t^4 - 9*r*s^3*t^4 - 18*r*s^2*t^5 + 9*s^3*t^5 + 30*s^2*t^6 + 13*r^5*s*t + 23*r^4*s*t^2 - 48*r^3*s^2*t^2 - 12*r^3*s*t^3 + 97*r^2*s^2*t^3 - 45*r^2*s*t^4 - 52*r*s^2*t^4 - 3*s^3*t^4 + 5*r*s*t^5 - 12*s^2*t^5 + r^5*t + 4*r^4*t^2 - 42*r^3*s*t^2 + 4*r^2*s^2*t^2 + 54*r^2*s*t^3 - 2*r*s^2*t^3 - 13*r*s*t^4 + 3*s^2*t^4 + 15*s*t^5 - 6*r^3*t^2 + 8*r^2*s*t^2 - 5*r^2*t^3 - 10*r*s*t^3 + r*t^4 - 3*s*t^4 + 4*r^2*t^2 - 2*r*t^3 + 3*t^4) * k1^2*k2+  (8) * (r^12*s^6*t^2 + 9*r^12*s^6*t - 37*r^11*s^6*t^2 + 35*r^10*s^6*t^3 - 15*r^9*s^6*t^4 - 19*r^12*s^6 + 2*r^12*s^5*t + 100*r^11*s^6*t - 212*r^10*s^6*t^2 + 268*r^9*s^6*t^3 - 121*r^8*s^6*t^4 - 16*r^7*s^6*t^5 + 28*r^6*s^6*t^6 - 9*r^12*s^5 - 35*r^11*s^5*t - 12*r^10*s^6*t + 49*r^10*s^5*t^2 + 25*r^9*s^6*t^2 - 24*r^9*s^5*t^3 - 52*r^8*s^6*t^3 - 22*r^7*s^6*t^4 - 27*r^6*s^6*t^5 + 64*r^5*s^6*t^6 - 17*r^4*s^6*t^7 - 15*r^3*s^6*t^8 + r^12*s^4 + 42*r^10*s^5*t + 46*r^9*s^6*t + 245*r^9*s^5*t^2 - 205*r^8*s^6*t^2 - 265*r^8*s^5*t^3 + 428*r^7*s^6*t^3 - 34*r^7*s^5*t^4 - 385*r^6*s^6*t^4 + 86*r^6*s^5*t^5 + 212*r^5*s^6*t^5 + 62*r^4*s^6*t^6 - 172*r^3*s^6*t^7 + 85*r^2*s^6*t^8 - 2*r*s^6*t^9 + s^6*t^10 + 57*r^10*s^5 + 27*r^10*s^4*t - 27*r^9*s^5*t - 10*r^9*s^4*t^2 - 771*r^8*s^5*t^2 - 12*r^7*s^6*t^2 + 774*r^7*s^5*t^3 + 25*r^6*s^6*t^3 - 303*r^6*s^5*t^4 - 52*r^5*s^6*t^4 + 265*r^5*s^5*t^5 - 22*r^4*s^6*t^5 - 98*r^4*s^5*t^6 - 27*r^3*s^6*t^6 - 54*r^3*s^5*t^7 + 64*r^2*s^6*t^7 - 17*r*s^6*t^8 - 15*s^6*t^9 + 27*r^10*s^4 - 19*r^9*s^5 - 24*r^9*s^4*t - 222*r^8*s^5*t - 162*r^8*s^4*t^2 + 954*r^7*s^5*t^2 - 19*r^6*s^6*t^2 - 45*r^7*s^4*t^3 - 222*r^6*s^5*t^3 + 100*r^5*s^6*t^3 + 108*r^6*s^4*t^4 - 653*r^5*s^5*t^4 - 212*r^4*s^6*t^4 + 727*r^4*s^5*t^5 + 268*r^3*s^6*t^5 - 731*r^3*s^5*t^6 - 121*r^2*s^6*t^6 + 381*r^2*s^5*t^7 - 16*r*s^6*t^7 - 21*r*s^5*t^8 + 28*s^6*t^8 + 6*s^5*t^9 - 3*r^10*s^3 - 28*r^9*s^4 - 241*r^8*s^4*t + 57*r^7*s^5*t + 843*r^7*s^4*t^2 - 27*r^6*s^5*t^2 - 494*r^6*s^4*t^3 - 771*r^5*s^5*t^3 + 409*r^5*s^4*t^4 + 774*r^4*s^5*t^4 + 9*r^3*s^6*t^4 - 201*r^4*s^4*t^5 - 303*r^3*s^5*t^5 - 37*r^2*s^6*t^5 - 73*r^3*s^4*t^6 + 265*r^2*s^5*t^6 + 35*r*s^6*t^6 - 98*r*s^5*t^7 - 15*s^6*t^7 - 54*s^5*t^8 - 8*r^9*s^3 - 10*r^8*s^3*t + 245*r^7*s^4*t - 32*r^7*s^3*t^2 - 261*r^6*s^4*t^2 + 72*r^6*s^3*t^3 - 934*r^5*s^4*t^3 + 42*r^4*s^5*t^3 + 1202*r^4*s^4*t^4 + 245*r^3*s^5*t^4 - 1162*r^3*s^4*t^5 - 265*r^2*s^5*t^5 + 688*r^2*s^4*t^6 - 34*r*s^5*t^6 + s^6*t^6 - 67*r*s^4*t^7 + 86*s^5*t^7 + 15*s^4*t^8 + r^9*s^2 + 126*r^7*s^3*t - 28*r^6*s^4*t - 205*r^6*s^3*t^2 - 241*r^5*s^4*t^2 + 251*r^5*s^3*t^3 + 843*r^4*s^4*t^3 - 9*r^3*s^5*t^3 - 189*r^4*s^3*t^4 - 494*r^3*s^4*t^4 - 35*r^2*s^5*t^4 - 44*r^3*s^3*t^5 + 409*r^2*s^4*t^5 + 49*r*s^5*t^5 - 201*r*s^4*t^6 - 24*s^5*t^6 - 73*s^4*t^7 - 5*r^7*s^2*t - 41*r^6*s^3*t + 24*r^6*s^2*t^2 - 185*r^5*s^3*t^2 + 27*r^4*s^4*t^2 + 549*r^4*s^3*t^3 - 24*r^3*s^4*t^3 - 773*r^3*s^3*t^4 - 162*r^2*s^4*t^4 + 612*r^2*s^3*t^5 - 45*r*s^4*t^5 + 2*s^5*t^5 - 98*r*s^3*t^6 + 108*s^4*t^6 + 20*s^3*t^7 - 11*r^6*s^2*t + 43*r^5*s^2*t^2 + 126*r^4*s^3*t^2 - 82*r^4*s^2*t^3 - 205*r^3*s^3*t^3 - 9*r^3*s^2*t^4 + 251*r^2*s^3*t^4 + 27*r*s^4*t^4 - 189*r*s^3*t^5 - 10*s^4*t^5 - 44*s^3*t^6 + 2*r^6*s*t + 48*r^4*s^2*t^2 - 8*r^3*s^3*t^2 - 172*r^3*s^2*t^3 - 10*r^2*s^3*t^3 + 259*r^2*s^2*t^4 - 32*r*s^3*t^4 + s^4*t^4 - 72*r*s^2*t^5 + 72*s^3*t^5 + 15*s^2*t^6 - 13*r^4*s*t^2 - 11*r^3*s^2*t^2 + 2*r^3*s*t^3 + 43*r^2*s^2*t^3 - 3*r*s^3*t^3 - 82*r*s^2*t^4 - 9*s^2*t^5 - 2*r^3*s*t^2 + 39*r^2*s*t^3 - 5*r*s^2*t^3 - 25*r*s*t^4 + 24*s^2*t^4 + 6*s*t^5 + r^3*t^2 - 13*r*s*t^3 + s^2*t^3 + 2*s*t^4 - 3*r*t^3 + 2*s*t^3 + t^4 + t^3) * k0*k1*k2+  (8) * s * (3*r^13*s^5*t - 9*r^12*s^5*t^2 + 6*r^11*s^5*t^3 - 18*r^13*s^5 + 72*r^12*s^5*t - 114*r^11*s^5*t^2 + 102*r^10*s^5*t^3 - 39*r^9*s^5*t^4 - 3*r^8*s^5*t^5 - 3*r^13*s^4 - 11*r^12*s^4*t + 45*r^11*s^5*t + 10*r^11*s^4*t^2 - 168*r^10*s^5*t^2 + 192*r^9*s^5*t^3 - 93*r^8*s^5*t^4 - 3*r^7*s^5*t^5 + 24*r^6*s^5*t^6 + 3*r^5*s^5*t^7 + 8*r^11*s^4*t + 18*r^10*s^5*t + 107*r^10*s^4*t^2 - 153*r^9*s^5*t^2 - 94*r^9*s^4*t^3 + 465*r^8*s^5*t^3 + r^8*s^4*t^4 - 552*r^7*s^5*t^4 + 312*r^6*s^5*t^5 - 66*r^5*s^5*t^6 - 30*r^4*s^5*t^7 + 12*r^3*s^5*t^8 - 6*r^2*s^5*t^9 + 54*r^11*s^4 + 8*r^11*s^3*t - 114*r^10*s^4*t - 155*r^9*s^4*t^2 + 9*r^8*s^5*t^2 + 193*r^8*s^4*t^3 - 57*r^7*s^5*t^3 - 132*r^7*s^4*t^4 + 96*r^6*s^5*t^4 + 104*r^6*s^4*t^5 - 246*r^5*s^5*t^5 + 2*r^5*s^4*t^6 + 357*r^4*s^5*t^6 - 237*r^3*s^5*t^7 + 84*r^2*s^5*t^8 - 9*r*s^5*t^9 + 3*s^5*t^10 + 9*r^11*s^3 - 18*r^10*s^4 - 5*r^10*s^3*t - 171*r^9*s^4*t - 69*r^9*s^3*t^2 + 733*r^8*s^4*t^2 - 18*r^7*s^5*t^2 + 13*r^8*s^3*t^3 - 573*r^7*s^4*t^3 + 108*r^6*s^5*t^3 + 50*r^6*s^4*t^4 - 258*r^5*s^5*t^4 + 241*r^5*s^4*t^5 + 402*r^4*s^5*t^5 - 261*r^4*s^4*t^6 - 336*r^3*s^5*t^6 + 77*r^3*s^4*t^7 + 114*r^2*s^5*t^7 - 28*r^2*s^4*t^8 + 3*r*s^5*t^8 - 15*s^5*t^9 - 21*r^10*s^3 - 62*r^9*s^3*t + 54*r^8*s^4*t + 337*r^8*s^3*t^2 - 21*r^7*s^4*t^2 - 271*r^7*s^3*t^3 - 421*r^6*s^4*t^3 + 169*r^6*s^3*t^4 + 262*r^5*s^4*t^4 + 6*r^4*s^5*t^4 - 14*r^5*s^3*t^5 + 384*r^4*s^4*t^5 - 42*r^3*s^5*t^5 - 529*r^3*s^4*t^6 + 60*r^2*s^5*t^6 + 269*r^2*s^4*t^7 - 39*r*s^5*t^7 - 31*r*s^4*t^8 + 15*s^5*t^8 + 13*s^4*t^9 - 3*r^10*s^2 - 8*r^9*s^2*t + 173*r^8*s^3*t + 11*r^8*s^2*t^2 - 332*r^7*s^3*t^2 - 256*r^6*s^3*t^3 - 64*r^5*s^4*t^3 + 677*r^5*s^3*t^4 + 423*r^4*s^4*t^4 - 586*r^4*s^3*t^5 - 604*r^3*s^4*t^5 + 190*r^3*s^3*t^6 + 301*r^2*s^4*t^6 + 3*r*s^5*t^6 - 56*r^2*s^3*t^7 - 6*r*s^4*t^7 - 3*s^5*t^7 - 56*s^4*t^8 + 52*r^8*s^2*t - 24*r^7*s^3*t - 144*r^7*s^2*t^2 - 160*r^6*s^3*t^2 + 116*r^6*s^2*t^3 + 550*r^5*s^3*t^3 - 6*r^4*s^4*t^3 - 24*r^5*s^2*t^4 - 215*r^4*s^3*t^4 - 22*r^3*s^4*t^4 - 293*r^3*s^3*t^5 + 70*r^2*s^4*t^5 + 295*r^2*s^3*t^6 - 75*r*s^4*t^6 - 35*r*s^3*t^7 + 41*s^4*t^7 + 22*s^3*t^8 + 2*r^8*s*t - 32*r^7*s^2*t - 18*r^6*s^2*t^2 + 18*r^5*s^3*t^2 + 384*r^5*s^2*t^3 + 42*r^4*s^3*t^3 - 484*r^4*s^2*t^4 - 255*r^3*s^3*t^4 + 210*r^3*s^2*t^5 + 247*r^2*s^3*t^5 + 2*r*s^4*t^5 - 60*r^2*s^2*t^6 - 17*r*s^3*t^6 - 4*s^4*t^6 - 83*s^3*t^7 - 8*r^7*s*t + 27*r^6*s*t^2 + 76*r^5*s^2*t^2 - 13*r^5*s*t^3 - 246*r^4*s^2*t^3 + 41*r^3*s^2*t^4 + 11*r^2*s^3*t^4 + 120*r^2*s^2*t^5 - 51*r*s^3*t^5 - 9*r*s^2*t^6 + 42*s^3*t^6 + 18*s^2*t^7 + 32*r^5*s*t^2 - 3*r^4*s^2*t^2 - 134*r^4*s*t^3 + 25*r^3*s^2*t^3 + 98*r^3*s*t^4 + 44*r^2*s^2*t^4 + 3*r*s^3*t^4 - 34*r^2*s*t^5 - 3*r*s^2*t^5 - s^3*t^5 - 63*s^2*t^6 - 2*r^5*t^2 - 10*r^4*s*t^2 + 42*r^3*s*t^3 - 9*r^2*s^2*t^3 + 11*r^2*s*t^4 - 12*r*s^2*t^4 + 8*r*s*t^5 + 21*s^2*t^5 + 7*s*t^6 - 5*r^4*t^2 + 13*r^3*t^3 - 16*r^2*s*t^3 - 8*r^2*t^4 + 6*r*s*t^4 - 26*s*t^5 + r^2*t^3 + 3*r*s*t^3 + 4*r*t^4 + 5*s*t^4 + t^5 + r*t^3 - 5*t^4) * k0^2*k2+  (-4) * (r^12*s^6*t^2 - 4*r^12*s^6*t + 10*r^11*s^6*t^2 - 20*r^10*s^6*t^3 + 6*r^9*s^6*t^4 + 3*r^12*s^6 + 2*r^12*s^5*t - 10*r^11*s^6*t + 20*r^10*s^6*t^2 + 6*r^9*s^6*t^3 - 5*r^8*s^6*t^4 + 28*r^7*s^6*t^5 - 14*r^6*s^6*t^6 + 4*r^12*s^5 + 10*r^11*s^5*t - 43*r^10*s^5*t^2 - 6*r^9*s^6*t^2 + 19*r^9*s^5*t^3 - 20*r^8*s^6*t^3 - 14*r^7*s^6*t^4 - 14*r^6*s^6*t^5 - 10*r^5*s^6*t^6 + 2*r^4*s^6*t^7 + 6*r^3*s^6*t^8 + r^12*s^4 - 40*r^10*s^5*t - 6*r^9*s^6*t + 39*r^9*s^5*t^2 + 25*r^8*s^6*t^2 + 32*r^8*s^5*t^3 - 14*r^7*s^6*t^3 + 15*r^7*s^5*t^4 + 31*r^6*s^6*t^4 - 26*r^6*s^5*t^5 + 40*r^5*s^6*t^5 - 8*r^4*s^6*t^6 + 6*r^3*s^6*t^7 + 5*r^2*s^6*t^8 - 10*r*s^6*t^9 + s^6*t^10 - 9*r^10*s^5 - 26*r^10*s^4*t + 23*r^9*s^5*t + 21*r^9*s^4*t^2 + 122*r^8*s^5*t^2 - 231*r^7*s^5*t^3 - 6*r^6*s^6*t^3 + 87*r^6*s^5*t^4 - 20*r^5*s^6*t^4 - 16*r^5*s^5*t^5 - 14*r^4*s^6*t^5 - 29*r^4*s^5*t^6 - 14*r^3*s^6*t^6 + 31*r^3*s^5*t^7 - 10*r^2*s^6*t^7 + 2*r*s^6*t^8 + 6*s^6*t^9 - 12*r^10*s^4 + 3*r^9*s^5 + 42*r^9*s^4*t + 28*r^8*s^5*t + 39*r^8*s^4*t^2 - 169*r^7*s^5*t^2 + 3*r^6*s^6*t^2 - 55*r^7*s^4*t^3 + 86*r^6*s^5*t^3 - 10*r^5*s^6*t^3 - 4*r^6*s^4*t^4 + 184*r^5*s^5*t^4 + 20*r^4*s^6*t^4 - 184*r^4*s^5*t^5 + 6*r^3*s^6*t^5 + 87*r^3*s^5*t^6 - 5*r^2*s^6*t^6 + 32*r^2*s^5*t^7 + 28*r*s^6*t^7 - 53*r*s^5*t^8 - 14*s^6*t^8 + 6*s^5*t^9 - 3*r^10*s^3 + 7*r^9*s^4 + 9*r^9*s^3*t + 42*r^8*s^4*t - 9*r^7*s^5*t - 232*r^7*s^4*t^2 + 23*r^6*s^5*t^2 + 183*r^6*s^4*t^3 + 122*r^5*s^5*t^3 + 36*r^5*s^4*t^4 - 231*r^4*s^5*t^4 - 4*r^3*s^6*t^4 - 112*r^4*s^4*t^5 + 87*r^3*s^5*t^5 + 10*r^2*s^6*t^5 + 65*r^3*s^4*t^6 - 16*r^2*s^5*t^6 - 20*r*s^6*t^6 - 29*r*s^5*t^7 + 6*s^6*t^7 + 31*s^5*t^8 + 5*r^9*s^3 + 14*r^8*s^3*t - 47*r^7*s^4*t - 55*r^7*s^3*t^2 + 87*r^6*s^4*t^2 + 16*r^6*s^3*t^3 + 192*r^5*s^4*t^3 - 40*r^4*s^5*t^3 - 404*r^4*s^4*t^4 + 39*r^3*s^5*t^4 + 204*r^3*s^4*t^5 + 32*r^2*s^5*t^5 + 78*r^2*s^4*t^6 + 15*r*s^5*t^6 + s^6*t^6 - 115*r*s^4*t^7 - 26*s^5*t^7 + 15*s^4*t^8 + r^9*s^2 - 51*r^7*s^3*t + 7*r^6*s^4*t + 81*r^6*s^3*t^2 + 42*r^5*s^4*t^2 + 68*r^5*s^3*t^3 - 232*r^4*s^4*t^3 + 4*r^3*s^5*t^3 - 142*r^4*s^3*t^4 + 183*r^3*s^4*t^4 + 10*r^2*s^5*t^4 + 70*r^3*s^3*t^5 + 36*r^2*s^4*t^5 - 43*r*s^5*t^5 - 112*r*s^4*t^6 + 19*s^5*t^6 + 65*s^4*t^7 - 13*r^7*s^2*t + 16*r^6*s^3*t + 10*r^6*s^2*t^2 + 68*r^5*s^3*t^2 - 12*r^4*s^4*t^2 - 268*r^4*s^3*t^3 + 42*r^3*s^4*t^3 + 178*r^3*s^3*t^4 + 39*r^2*s^4*t^4 + 92*r^2*s^3*t^5 - 55*r*s^4*t^5 + 2*s^5*t^5 - 130*r*s^3*t^6 - 4*s^4*t^6 + 20*s^3*t^7 + 11*r^6*s^2*t + 26*r^5*s^2*t^2 - 51*r^4*s^3*t^2 - 74*r^4*s^2*t^3 + 81*r^3*s^3*t^3 + 40*r^3*s^2*t^4 + 68*r^2*s^3*t^4 - 26*r*s^4*t^4 - 142*r*s^3*t^5 + 21*s^4*t^5 + 70*s^3*t^6 + 2*r^6*s*t - 52*r^4*s^2*t^2 + 5*r^3*s^3*t^2 + 62*r^3*s^2*t^3 + 14*r^2*s^3*t^3 + 53*r^2*s^2*t^4 - 55*r*s^3*t^4 + s^4*t^4 - 80*r*s^2*t^5 + 16*s^3*t^5 + 15*s^2*t^6 - 13*r^4*s*t^2 + 11*r^3*s^2*t^2 + 11*r^3*s*t^3 + 26*r^2*s^2*t^3 - 3*r*s^3*t^3 - 74*r*s^2*t^4 + 9*s^3*t^4 + 40*s^2*t^5 + 7*r^3*s*t^2 + 12*r^2*s*t^3 - 13*r*s^2*t^3 - 25*r*s*t^4 + 10*s^2*t^4 + 6*s*t^5 + r^3*t^2 - 13*r*s*t^3 + s^2*t^3 + 11*s*t^4 - 3*r*t^3 + 2*s*t^3 + t^4 + t^3) * k1^3+  (-8) * s * (-4*r^13*s^5*t + 7*r^12*s^5*t^2 - 3*r^11*s^5*t^3 + 7*r^13*s^5 - 25*r^12*s^5*t + 51*r^11*s^5*t^2 - 39*r^10*s^5*t^3 - 3*r^9*s^5*t^4 + 9*r^8*s^5*t^5 + 4*r^13*s^4 + 7*r^12*s^4*t - 3*r^11*s^5*t - 6*r^11*s^4*t^2 - 11*r^10*s^5*t^2 + 14*r^9*s^5*t^3 - 36*r^8*s^5*t^4 + 59*r^7*s^5*t^5 - 14*r^6*s^5*t^6 - 9*r^5*s^5*t^7 - 36*r^11*s^4*t - 16*r^10*s^5*t - 11*r^10*s^4*t^2 + 70*r^9*s^5*t^2 + 2*r^9*s^4*t^3 - 90*r^8*s^5*t^3 + 15*r^8*s^4*t^4 + 81*r^7*s^5*t^4 - 21*r^6*s^5*t^5 - 45*r^5*s^5*t^6 + 9*r^4*s^5*t^7 + 9*r^3*s^5*t^8 + 3*r^2*s^5*t^9 - 21*r^11*s^4 - 3*r^11*s^3*t + 39*r^10*s^4*t + 208*r^9*s^4*t^2 + 9*r^8*s^5*t^2 - 288*r^8*s^4*t^3 - 21*r^7*s^5*t^3 + 215*r^7*s^4*t^4 - 36*r^6*s^5*t^4 - 54*r^6*s^4*t^5 + 63*r^5*s^5*t^5 - 24*r^5*s^4*t^6 - 31*r^4*s^5*t^6 + 10*r^3*s^5*t^7 + 30*r^2*s^5*t^8 - 25*r*s^5*t^9 + s^5*t^10 - 12*r^11*s^3 + 7*r^10*s^4 + 28*r^10*s^3*t + 74*r^9*s^4*t - 9*r^9*s^3*t^2 - 357*r^8*s^4*t^2 + 7*r^7*s^5*t^2 + 9*r^8*s^3*t^3 + 172*r^7*s^4*t^3 - 37*r^6*s^5*t^3 + 190*r^6*s^4*t^4 + 72*r^5*s^5*t^4 - 300*r^5*s^4*t^5 - 36*r^4*s^5*t^5 + 79*r^4*s^4*t^6 - 12*r^3*s^5*t^6 + 20*r^3*s^4*t^7 + 30*r^2*s^5*t^7 + 15*r^2*s^4*t^8 - 46*r*s^5*t^8 + 22*s^5*t^9 + 11*r^10*s^3 + 57*r^9*s^3*t - 21*r^8*s^4*t - 270*r^8*s^3*t^2 + 18*r^7*s^4*t^2 + 269*r^7*s^3*t^3 + 290*r^6*s^4*t^3 - 82*r^6*s^3*t^4 - 417*r^5*s^4*t^4 - 8*r^4*s^5*t^4 - 24*r^5*s^3*t^5 + 195*r^4*s^4*t^5 + 38*r^3*s^5*t^5 + 2*r^3*s^4*t^6 - 81*r^2*s^5*t^6 + 108*r^2*s^4*t^7 + 73*r*s^5*t^7 - 105*r*s^4*t^8 - 22*s^5*t^8 + 5*s^4*t^9 + 4*r^10*s^2 - 2*r^9*s^2*t - 93*r^8*s^3*t + 3*r^8*s^2*t^2 + 176*r^7*s^3*t^2 + 245*r^6*s^3*t^3 - 54*r^5*s^4*t^3 - 495*r^5*s^3*t^4 + 29*r^4*s^4*t^4 + 189*r^4*s^3*t^5 + 72*r^3*s^4*t^5 + 4*r^3*s^3*t^6 - 45*r^2*s^4*t^6 + r*s^5*t^6 + 30*r^2*s^3*t^7 - 112*r*s^4*t^7 - s^5*t^7 + 80*s^4*t^8 - 48*r^8*s^2*t + 15*r^7*s^3*t + 97*r^7*s^2*t^2 + 96*r^6*s^3*t^2 - 52*r^6*s^2*t^3 - 489*r^5*s^3*t^3 + 8*r^4*s^4*t^3 - 12*r^5*s^2*t^4 + 360*r^4*s^3*t^4 + 28*r^3*s^4*t^4 + 3*r^3*s^3*t^5 - 135*r^2*s^4*t^5 + 126*r^2*s^3*t^6 + 162*r*s^4*t^6 - 170*r*s^3*t^7 - 58*s^4*t^7 + 10*s^3*t^8 + 23*r^7*s^2*t + 70*r^6*s^2*t^2 - 24*r^5*s^3*t^2 - 264*r^5*s^2*t^3 + 82*r^4*s^3*t^3 + 169*r^4*s^2*t^4 + 96*r^3*s^3*t^4 - 18*r^3*s^2*t^5 - 153*r^2*s^3*t^5 + 2*r*s^4*t^5 + 30*r^2*s^2*t^6 - 89*r*s^3*t^6 - 2*s^4*t^6 + 112*s^3*t^7 + 8*r^7*s*t - 10*r^6*s*t^2 - 87*r^5*s^2*t^2 - 3*r^5*s*t^3 + 141*r^4*s^2*t^3 + 34*r^3*s^2*t^4 - 69*r^2*s^3*t^4 + 42*r^2*s^2*t^5 + 118*r*s^3*t^5 - 130*r*s^2*t^6 - 54*s^3*t^6 + 10*s^2*t^7 - 42*r^5*s*t^2 + 9*r^4*s^2*t^2 + 54*r^4*s*t^3 + 18*r^3*s^2*t^3 - 13*r^3*s*t^4 - 93*r^2*s^2*t^4 + r*s^3*t^4 + 15*r^2*s*t^5 - 25*r*s^2*t^5 - s^3*t^5 + 76*s^2*t^6 + 13*r^4*s*t^2 + 23*r^3*s*t^3 - 3*r^2*s^2*t^3 - 12*r^2*s*t^4 + 30*r*s^2*t^4 - 45*r*s*t^5 - 22*s^2*t^5 + 5*s*t^6 + 4*r^4*t^2 - 2*r^3*t^3 - 15*r^2*s*t^3 + 3*r^2*t^4 - r*s*t^4 + 26*s*t^5 - 6*r^2*t^3 + r*s*t^3 - 5*r*t^4 - 4*s*t^4 + t^5 + r*t^3 + 4*t^4) * k0*k1^2+  (-4) * s * (-4*r^14*s^5*t + 4*r^13*s^5*t^2 + 19*r^14*s^5 - 52*r^13*s^5*t + 69*r^12*s^5*t^2 - 30*r^11*s^5*t^3 - 6*r^10*s^5*t^4 + 4*r^14*s^4 + 4*r^13*s^4*t - 36*r^12*s^5*t + 34*r^11*s^5*t^2 + 32*r^10*s^5*t^3 - 102*r^9*s^5*t^4 + 68*r^8*s^5*t^5 + 4*r^7*s^5*t^6 - 40*r^12*s^4*t - 46*r^11*s^5*t + 4*r^11*s^4*t^2 + 229*r^10*s^5*t^2 - 10*r^10*s^4*t^3 - 306*r^9*s^5*t^3 + 183*r^8*s^5*t^4 - 42*r^7*s^5*t^5 + 24*r^6*s^5*t^6 - 36*r^5*s^5*t^7 - 6*r^4*s^5*t^8 - 57*r^12*s^4 + 105*r^11*s^4*t + 283*r^10*s^4*t^2 + 60*r^9*s^5*t^2 - 501*r^9*s^4*t^3 - 180*r^8*s^5*t^3 + 302*r^8*s^4*t^4 + 6*r^7*s^5*t^4 - 24*r^7*s^4*t^5 + 294*r^6*s^5*t^5 - 292*r^5*s^5*t^6 + 88*r^4*s^5*t^7 + 18*r^3*s^5*t^8 + 2*r^2*s^5*t^9 + 4*r*s^5*t^10 - 12*r^12*s^3 + 19*r^11*s^4 + 34*r^11*s^3*t + 230*r^10*s^4*t - 18*r^10*s^3*t^2 - 896*r^9*s^4*t^2 + 19*r^8*s^5*t^2 + 646*r^8*s^4*t^3 - 148*r^7*s^5*t^3 + 151*r^7*s^4*t^4 + 339*r^6*s^5*t^4 - 232*r^6*s^4*t^5 - 258*r^5*s^5*t^5 - 26*r^5*s^4*t^6 + 57*r^4*s^5*t^6 - 22*r^4*s^4*t^7 - 30*r^3*s^5*t^7 + 56*r^2*s^5*t^8 - 26*r*s^5*t^9 - 9*s^5*t^10 + 23*r^11*s^3 + 42*r^10*s^3*t - 57*r^9*s^4*t - 425*r^9*s^3*t^2 - 99*r^8*s^4*t^2 + 416*r^8*s^3*t^3 + 863*r^7*s^4*t^3 - 88*r^7*s^3*t^4 - 1066*r^6*s^4*t^4 - 14*r^5*s^5*t^4 + 387*r^5*s^4*t^5 + 134*r^4*s^5*t^5 - 97*r^4*s^4*t^6 - 390*r^3*s^5*t^6 + 135*r^3*s^4*t^7 + 484*r^2*s^5*t^7 - 6*r^2*s^4*t^8 - 292*r*s^5*t^8 + 20*r*s^4*t^9 + 78*s^5*t^9 + 4*r^11*s^2 - 2*r^10*s^2*t - 217*r^9*s^3*t + 614*r^8*s^3*t^2 + 125*r^7*s^3*t^3 + 44*r^6*s^4*t^3 - 536*r^6*s^3*t^4 - 205*r^5*s^4*t^4 + 138*r^5*s^3*t^5 + 402*r^4*s^4*t^5 - 44*r^4*s^3*t^6 - 442*r^3*s^4*t^6 - 5*r^2*s^5*t^6 + 374*r^2*s^4*t^7 + 14*r*s^5*t^7 - 157*r*s^4*t^8 - 9*s^5*t^8 - 34*s^4*t^9 - 46*r^9*s^2*t + 33*r^8*s^3*t + 154*r^8*s^2*t^2 + 246*r^7*s^3*t^2 - 76*r^7*s^2*t^3 - 1319*r^6*s^3*t^3 + 14*r^5*s^4*t^3 + 1179*r^5*s^3*t^4 + 82*r^4*s^4*t^4 - 510*r^4*s^3*t^5 - 571*r^3*s^4*t^5 + 283*r^3*s^3*t^6 + 1017*r^2*s^4*t^6 - 32*r^2*s^3*t^7 - 823*r*s^4*t^7 + 40*r*s^3*t^8 + 277*s^4*t^8 + 44*r^8*s^2*t - 44*r^7*s^2*t^2 - 42*r^6*s^3*t^2 - 276*r^6*s^2*t^3 + 124*r^5*s^3*t^3 + 178*r^5*s^2*t^4 + 291*r^4*s^3*t^4 - 48*r^4*s^2*t^5 - 645*r^3*s^3*t^5 + 2*r^2*s^4*t^5 + 667*r^2*s^3*t^6 + 16*r*s^4*t^6 - 329*r*s^3*t^7 - 16*s^4*t^7 - 46*s^3*t^8 + 8*r^8*s*t - 16*r^7*s*t^2 - 153*r^6*s^2*t^2 + 531*r^5*s^2*t^3 - 389*r^4*s^2*t^4 - 206*r^3*s^3*t^4 + 235*r^3*s^2*t^5 + 679*r^2*s^3*t^5 - 40*r^2*s^2*t^6 - 828*r*s^3*t^6 + 40*r*s^2*t^7 + 371*s^3*t^7 - 32*r^6*s*t^2 + 9*r^5*s^2*t^2 + 54*r^5*s*t^3 - 42*r^4*s^2*t^3 - 22*r^4*s*t^4 - 218*r^3*s^2*t^4 - 5*r^2*s^3*t^4 + 434*r^2*s^2*t^5 + 2*r*s^3*t^5 - 305*r*s^2*t^6 - 5*s^3*t^6 - 24*s^2*t^7 + 19*r^5*s*t^2 - 64*r^4*s*t^3 + 15*r^3*s^2*t^3 + 71*r^3*s*t^4 + 141*r^2*s^2*t^4 - 18*r^2*s*t^5 - 355*r*s^2*t^5 + 20*r*s*t^6 + 231*s^2*t^6 + 4*r^5*t^2 - 2*r^4*t^3 + 15*r^3*s*t^3 + 83*r^2*s*t^4 - 121*r*s*t^5 + 2*s^2*t^5 - s*t^6 + 2*r^3*t^3 - 5*r^2*s*t^3 - 2*r^2*t^4 - 58*r*s*t^4 + 4*r*t^5 + 67*s*t^5 - 2*r^2*t^3 - 14*r*t^4 + 2*t^5 + 8*t^4) * k0^2*k1+  (-8) * s * (6*r^15*s^5 - 12*r^14*s^5*t + 6*r^13*s^5*t^2 - 27*r^13*s^5*t + 45*r^12*s^5*t^2 - 9*r^11*s^5*t^3 - 9*r^10*s^5*t^4 + 4*r^13*s^4*t - 6*r^12*s^5*t - 2*r^12*s^4*t^2 + 75*r^11*s^5*t^2 - 105*r^10*s^5*t^3 + 15*r^9*s^5*t^4 + 15*r^8*s^5*t^5 + 6*r^7*s^5*t^6 - 18*r^13*s^4 + 45*r^12*s^4*t - 43*r^11*s^4*t^2 + 9*r^10*s^5*t^2 + 2*r^10*s^4*t^3 - 66*r^9*s^5*t^3 + 2*r^9*s^4*t^4 + 15*r^8*s^5*t^4 + 150*r^7*s^5*t^5 - 135*r^6*s^5*t^6 + 36*r^5*s^5*t^7 - 9*r^4*s^5*t^8 + 6*r^12*s^4 + 2*r^12*s^3*t + 65*r^11*s^4*t - 221*r^10*s^4*t^2 + 6*r^9*s^5*t^2 + 242*r^9*s^4*t^3 - 48*r^8*s^5*t^3 - 98*r^8*s^4*t^4 + 150*r^7*s^5*t^4 + 38*r^7*s^4*t^5 - 156*r^6*s^5*t^5 - 2*r^6*s^4*t^6 + 60*r^5*s^5*t^6 - 66*r^4*s^5*t^7 + 78*r^3*s^5*t^8 - 30*r^2*s^5*t^9 + 6*r*s^5*t^10 + 6*r^12*s^3 - 29*r^11*s^3*t - 18*r^10*s^4*t + 5*r^10*s^3*t^2 - 48*r^9*s^4*t^2 + 6*r^9*s^3*t^3 + 207*r^8*s^4*t^3 - 167*r^7*s^4*t^4 - 3*r^6*s^5*t^4 + 9*r^6*s^4*t^5 + 33*r^5*s^5*t^5 - 5*r^5*s^4*t^6 - 138*r^4*s^5*t^6 - 20*r^4*s^4*t^7 + 219*r^3*s^5*t^7 + 2*r^3*s^4*t^8 - 150*r^2*s^5*t^8 + 48*r*s^5*t^9 - 9*s^5*t^10 - 51*r^10*s^3*t + 210*r^9*s^3*t^2 - 185*r^8*s^3*t^3 + 76*r^7*s^4*t^3 + 70*r^7*s^3*t^4 - 198*r^6*s^4*t^4 - 8*r^6*s^3*t^5 + 205*r^5*s^4*t^5 - 253*r^4*s^4*t^6 - 3*r^3*s^5*t^6 + 301*r^3*s^4*t^7 + 15*r^2*s^5*t^7 - 129*r^2*s^4*t^8 - 21*r*s^5*t^8 + 28*r*s^4*t^9 + 9*s^5*t^9 + 8*r^10*s^2*t + 9*r^9*s^3*t + 4*r^9*s^2*t^2 + 61*r^8*s^3*t^2 - 294*r^7*s^3*t^3 + 3*r^6*s^4*t^3 + 327*r^6*s^3*t^4 + 11*r^5*s^4*t^4 - 183*r^5*s^3*t^5 - 168*r^4*s^4*t^5 + 12*r^4*s^3*t^6 + 434*r^3*s^4*t^6 + 4*r^3*s^3*t^7 - 422*r^2*s^4*t^7 + 168*r*s^4*t^8 - 38*s^4*t^9 + 10*r^9*s^2*t - 86*r^8*s^2*t^2 - 9*r^7*s^3*t^2 + 50*r^7*s^2*t^3 - 21*r^6*s^3*t^3 - 10*r^6*s^2*t^4 + 107*r^5*s^3*t^4 - 258*r^4*s^3*t^5 - 2*r^3*s^4*t^5 + 408*r^3*s^3*t^6 + 20*r^2*s^4*t^6 - 213*r^2*s^3*t^7 - 45*r*s^4*t^7 + 52*r*s^3*t^8 + 29*s^4*t^8 - 20*r^7*s^2*t^2 + 185*r^6*s^2*t^3 - 193*r^5*s^2*t^4 - 35*r^4*s^3*t^4 + 52*r^4*s^2*t^5 + 259*r^3*s^3*t^5 - 418*r^2*s^3*t^6 + 220*r*s^3*t^7 - 62*s^3*t^8 + 12*r^7*s*t^2 - 4*r^6*s*t^3 - 28*r^5*s^2*t^3 - 54*r^4*s^2*t^4 - 3*r^3*s^3*t^4 + 223*r^3*s^2*t^5 + 5*r^2*s^3*t^5 - 165*r^2*s^2*t^6 - 27*r*s^3*t^6 + 48*r*s^2*t^7 + 33*s^3*t^7 + 2*r^6*s*t^2 - 51*r^5*s*t^3 + 9*r^4*s^2*t^3 + 33*r^4*s*t^4 + 41*r^3*s^2*t^4 - 4*r^3*s*t^5 - 170*r^2*s^2*t^5 + 132*r*s^2*t^6 - 48*s^2*t^7 + 17*r^4*s*t^3 + 36*r^3*s*t^4 - 57*r^2*s*t^5 - 3*r*s^2*t^5 + 22*r*s*t^6 + 15*s^2*t^6 + 4*r^4*t^3 - 3*r^3*s*t^3 - 2*r^3*t^4 - 24*r^2*s*t^4 + 36*r*s*t^5 - 17*s*t^6 - 2*r^3*t^3 - 6*r^2*t^4 + 4*r*t^5 + 2*s*t^5 + 4*r*t^4 - 2*t^5) * k0^3;

Xi2old := (r^6*s^2 - 6*r^4*s^2*t + 2*r^3*s^2*t^2 + 2*r^3*s^2*t + 9*r^2*s^2*t^2 - 6*r*s^2*t^3 + s^2*t^4 - 3*r^4*s + 3*r^3*s*t - 6*r*s^2*t^2 + 2*s^2*t^3 + r^3*s + 6*r^2*s*t - 9*r*s*t^2 + s^2*t^2 + 2*s*t^3 + r^3 - 3*r*s*t + 3*s*t^2 - 3*r*t + t^2 + t) * k2*k3^2 +  (12) * s * (r^9*s^3 - 3*r^8*s^3*t + 3*r^7*s^3*t^2 - r^6*s^3*t^3 - 3*r^7*s^3*t + 8*r^6*s^3*t^2 - 6*r^5*s^3*t^3 + r^3*s^3*t^5 + 3*r^7*s^2*t - 2*r^6*s^2*t^2 + 6*r^5*s^3*t^2 - 18*r^4*s^3*t^3 + 18*r^3*s^3*t^4 - 6*r^2*s^3*t^5 - 3*r^7*s^2 + 2*r^6*s^2*t - 6*r^5*s^2*t^2 - 3*r^4*s^3*t^2 + 8*r^3*s^3*t^3 + 3*r^3*s^2*t^4 - 6*r^2*s^3*t^4 + s^3*t^6 + r^6*s^2 - r^6*s*t + 9*r^5*s^2*t - 18*r^4*s^2*t^2 + r^3*s^3*t^2 + 29*r^3*s^2*t^3 - 3*r^2*s^3*t^3 - 15*r^2*s^2*t^4 + 3*r*s^3*t^4 - s^3*t^5 + r^6*s - 3*r^4*s^2*t + 2*r^3*s^2*t^2 + 3*r^3*s*t^3 - 6*r^2*s^2*t^3 + 3*s^2*t^5 - 6*r^4*s*t + 12*r^3*s*t^2 - 12*r^2*s*t^3 + 3*r*s^2*t^3 - 2*s^2*t^4 + r^3*s*t + r^3*t^2 + 3*s*t^4 + r^3*t - 3*r^2*t^2 - s*t^3 + t^3) * k1*k2*k3 +  (4) * s * (-r^8*s^3*t + r^7*s^3*t^2 + 4*r^8*s^3 - 10*r^7*s^3*t + 18*r^6*s^3*t^2 - 17*r^5*s^3*t^3 + 5*r^4*s^3*t^4 + r^8*s^2 + r^7*s^2*t - 18*r^6*s^3*t + 33*r^5*s^3*t^2 - 30*r^4*s^3*t^3 + 24*r^3*s^3*t^4 - 10*r^2*s^3*t^5 + r*s^3*t^6 + 11*r^6*s^2*t + 5*r^5*s^3*t - 28*r^5*s^2*t^2 + 25*r^4*s^3*t^2 + 14*r^4*s^2*t^3 - 66*r^3*s^3*t^3 + 50*r^2*s^3*t^4 - 17*r*s^3*t^5 + 3*s^3*t^6 - 12*r^6*s^2 + 16*r^5*s^2*t - 27*r^4*s^2*t^2 - 21*r^3*s^3*t^2 + 37*r^3*s^2*t^3 + 40*r^2*s^3*t^3 - 25*r^2*s^2*t^4 - 22*r*s^3*t^4 + 3*r*s^2*t^5 + 3*s^3*t^5 - 3*r^6*s + 4*r^5*s^2 - 10*r^5*s*t + 26*r^4*s^2*t + 13*r^4*s*t^2 - 68*r^3*s^2*t^2 + 4*r^2*s^3*t^2 + 97*r^2*s^2*t^3 - 7*r*s^3*t^3 - 48*r*s^2*t^4 + 3*s^3*t^4 + 11*s^2*t^5 + 5*r^5*s + 3*r^4*s*t - 12*r^3*s^2*t + 9*r^3*s*t^2 + 25*r^2*s^2*t^2 - 20*r^2*s*t^3 - 41*r*s^2*t^3 + 3*r*s*t^4 + 10*s^2*t^4 + r^5 + 4*r^4*t - 19*r^3*s*t + 45*r^2*s*t^2 - 39*r*s*t^3 + 5*s^2*t^3 + 13*s*t^4 - 4*r^3*t + 4*r^2*s*t - 5*r^2*t^2 - 13*r*s*t^2 + r*t^3 + 9*s*t^3 + 4*r^2*t - 8*r*t^2 + 5*t^3 + 2*t^2) * k2^2*k3+  (4) * s * (5*r^10*s^3 - 10*r^9*s^3*t + 5*r^8*s^3*t^2 - 24*r^8*s^3*t + 52*r^7*s^3*t^2 - 32*r^6*s^3*t^3 + 4*r^5*s^3*t^4 + 5*r^8*s^2*t + 4*r^7*s^3*t + 31*r^6*s^3*t^2 - 92*r^5*s^3*t^3 + 80*r^4*s^3*t^4 - 28*r^3*s^3*t^5 + 5*r^2*s^3*t^6 - 15*r^8*s^2 + 28*r^7*s^2*t - 41*r^6*s^2*t^2 - 18*r^5*s^3*t^2 + 8*r^5*s^2*t^3 + 40*r^4*s^3*t^3 - 32*r^3*s^3*t^4 + 16*r^2*s^3*t^5 - 6*r*s^3*t^6 + 5*r^7*s^2 + 37*r^6*s^2*t - 90*r^5*s^2*t^2 + 5*r^4*s^3*t^2 + 124*r^4*s^2*t^3 - 16*r^3*s^3*t^3 - 61*r^3*s^2*t^4 + 23*r^2*s^3*t^4 + 15*r^2*s^2*t^5 - 18*r*s^3*t^5 + 6*s^3*t^6 + 5*r^7*s - 9*r^6*s*t - 15*r^5*s^2*t + 4*r^5*s*t^2 + 11*r^4*s^2*t^2 - 24*r^3*s^2*t^3 + 25*r^2*s^2*t^4 - 17*r*s^2*t^5 - 26*r^5*s*t + 49*r^4*s*t^2 - 38*r^3*s*t^3 + 22*r^2*s^2*t^3 + 15*r^2*s*t^4 - 34*r*s^2*t^4 + 17*s^2*t^5 + 5*r^4*s*t + 7*r^3*s*t^2 + 4*r^2*s*t^3 - 16*r*s*t^4 + 5*r^4*t - 5*r^3*t^2 + 5*r^2*t^3 - 16*r*s*t^3 + 16*s*t^4 - 5*r^2*t^2 - 5*r*t^3 + 5*t^3) * k0*k2*k3+  (4) * s * (r^10*s^3 - 2*r^9*s^3*t + r^8*s^3*t^2 - 3*r^8*s^3*t + 5*r^7*s^3*t^2 - r^6*s^3*t^3 - r^5*s^3*t^4 + r^8*s^2*t - r^7*s^3*t + 8*r^6*s^3*t^2 - 13*r^5*s^3*t^3 + 7*r^4*s^3*t^4 - 2*r^3*s^3*t^5 + r^2*s^3*t^6 - 3*r^8*s^2 + 2*r^7*s^2*t - r^6*s^2*t^2 - 2*r^5*s^2*t^3 - r^4*s^3*t^3 - r^3*s^3*t^4 + 5*r^2*s^3*t^5 - 3*r*s^3*t^6 + r^7*s^2 + 11*r^6*s^2*t - 18*r^5*s^2*t^2 + r^4*s^3*t^2 + 14*r^4*s^2*t^3 - 5*r^3*s^3*t^3 - 5*r^3*s^2*t^4 + 10*r^2*s^3*t^4 + 3*r^2*s^2*t^5 - 9*r*s^3*t^5 + 3*s^3*t^6 + r^7*s - 3*r^5*s^2*t - r^5*s*t^2 - 5*r^4*s^2*t^2 + 6*r^3*s^2*t^3 + 5*r^2*s^2*t^4 - 7*r*s^2*t^5 - 7*r^5*s*t + 8*r^4*s*t^2 - 4*r^3*s*t^3 + 8*r^2*s^2*t^3 + 3*r^2*s*t^4 - 14*r*s^2*t^4 + 7*s^2*t^5 + r^4*s*t + 5*r^3*s*t^2 - r^2*s*t^3 - 5*r*s*t^4 + r^4*t - r^3*t^2 + r^2*t^3 - 5*r*s*t^3 + 5*s*t^4 - r^2*t^2 - r*t^3 + t^3) * k1^2*k3+  (4) * s * (2*r^11*s^3 - 2*r^10*s^3*t - 9*r^9*s^3*t + 8*r^8*s^3*t^2 + r^7*s^3*t^3 - 2*r^8*s^3*t + 23*r^7*s^3*t^2 - 21*r^6*s^3*t^3 + r^5*s^3*t^4 - r^4*s^3*t^5 - 6*r^9*s^2 + 5*r^8*s^2*t + 2*r^7*s^2*t^2 + 3*r^6*s^3*t^2 - 21*r^5*s^3*t^3 + 9*r^4*s^3*t^4 + 15*r^3*s^3*t^5 - 8*r^2*s^3*t^6 + 2*r*s^3*t^7 + 2*r^8*s^2 + 25*r^7*s^2*t - 33*r^6*s^2*t^2 + 2*r^5*s^3*t^2 + 5*r^5*s^2*t^3 - 14*r^4*s^3*t^3 - 3*r^4*s^2*t^4 + 39*r^3*s^3*t^4 - 37*r^2*s^3*t^5 + 13*r*s^3*t^6 - 3*s^3*t^7 + 2*r^8*s + r^7*s*t - 6*r^6*s^2*t - 28*r^5*s^2*t^2 + 33*r^4*s^2*t^3 + 18*r^3*s^2*t^4 + r^2*s^3*t^4 - 17*r^2*s^2*t^5 - 4*r*s^3*t^5 + 6*r*s^2*t^6 + 3*s^3*t^6 - 15*r^6*s*t + 6*r^5*s*t^2 - 3*r^4*s*t^3 + 39*r^3*s^2*t^3 - 65*r^2*s^2*t^4 + 31*r*s^2*t^5 - 9*s^2*t^6 + r^5*s*t + 21*r^4*s*t^2 - r^2*s^2*t^3 - 10*r^2*s*t^4 - 4*r*s^2*t^4 + 6*r*s*t^5 + 6*s^2*t^5 + 2*r^5*t - r^4*t^2 + 3*r^3*s*t^2 - 29*r^2*s*t^3 + 23*r*s*t^4 - 9*s*t^5 - 3*r^3*t^2 - r^2*t^3 + 2*r*t^4 + 3*s*t^4 - r^2*t^2 + 5*r*t^3 - 3*t^4) * k0*k1*k3+  (4) * (r^12*s^4 - 6*r^10*s^4*t - r^9*s^4*t + 18*r^8*s^4*t^2 - 3*r^7*s^4*t^3 + r^6*s^4*t^4 - 3*r^10*s^3 + 2*r^9*s^3*t + 3*r^7*s^4*t^2 - 29*r^6*s^4*t^3 + 9*r^5*s^4*t^4 - 3*r^4*s^4*t^5 + r^9*s^3 + 15*r^8*s^3*t - 15*r^7*s^3*t^2 + r^6*s^4*t^2 + 5*r^6*s^3*t^3 - 9*r^5*s^4*t^3 + 39*r^4*s^4*t^4 - 29*r^3*s^4*t^5 + 18*r^2*s^4*t^6 - 6*r*s^4*t^7 + s^4*t^8 + r^9*s^2 - 3*r^7*s^3*t - 28*r^6*s^3*t^2 + 33*r^5*s^3*t^3 - 18*r^4*s^3*t^4 + r^3*s^4*t^4 + 2*r^3*s^3*t^5 - 9*r^2*s^4*t^5 + 3*r*s^4*t^6 - s^4*t^7 - 9*r^7*s^2*t + 6*r^6*s^2*t^2 + 39*r^4*s^3*t^3 - 57*r^3*s^3*t^4 + 51*r^2*s^3*t^5 - 21*r*s^3*t^6 + s^4*t^6 + 4*s^3*t^7 + 21*r^5*s^2*t^2 - 24*r^4*s^2*t^3 - r^3*s^3*t^3 + 5*r^3*s^2*t^4 - 9*r^2*s^3*t^4 + 3*r*s^3*t^5 - 2*s^3*t^6 + 2*r^6*s*t + 3*r^4*s^2*t^2 - 28*r^3*s^2*t^3 + 48*r^2*s^2*t^4 - 27*r*s^2*t^5 + 2*s^3*t^5 + 6*s^2*t^6 - 9*r^4*s*t^2 + 4*r^3*s*t^3 - 3*r*s^2*t^4 + 15*r^2*s*t^3 - 15*r*s*t^4 + s^2*t^4 + 4*s*t^5 + r^3*t^2 - 3*r*s*t^3 + 2*s*t^4 - 3*r*t^3 + t^4 + t^3) * k0^2*k3+  (-4) * s * (3*r^10*s^5*t^2 - 6*r^9*s^5*t^3 + 3*r^8*s^5*t^4 + 12*r^10*s^5*t - 60*r^9*s^5*t^2 + 102*r^8*s^5*t^3 - 84*r^7*s^5*t^4 + 42*r^6*s^5*t^5 - 12*r^5*s^5*t^6 - 15*r^10*s^5 + 10*r^10*s^4*t + 66*r^9*s^5*t - 16*r^9*s^4*t^2 - 159*r^8*s^5*t^2 + 10*r^8*s^4*t^3 + 282*r^7*s^5*t^3 - 285*r^6*s^5*t^4 + 120*r^5*s^5*t^5 - 6*r^4*s^5*t^6 - 6*r^3*s^5*t^7 + 3*r^2*s^5*t^8 - 12*r^10*s^4 - 16*r^9*s^4*t + 54*r^8*s^5*t + 87*r^8*s^4*t^2 - 186*r^7*s^5*t^2 - 147*r^7*s^4*t^3 + 318*r^6*s^5*t^3 + 111*r^6*s^4*t^4 - 510*r^5*s^5*t^4 - 47*r^5*s^4*t^5 + 630*r^4*s^5*t^5 - 414*r^3*s^5*t^6 + 126*r^2*s^5*t^7 - 18*r*s^5*t^8 + 3*r^10*s^3 - 10*r^9*s^3*t - 24*r^8*s^4*t - 12*r^7*s^5*t + 11*r^8*s^3*t^2 + 239*r^7*s^4*t^2 - 75*r^6*s^5*t^2 - 424*r^6*s^4*t^3 + 330*r^5*s^5*t^3 + 274*r^5*s^4*t^4 - 375*r^4*s^5*t^4 + 14*r^4*s^4*t^5 + 120*r^3*s^5*t^5 - 35*r^3*s^4*t^6 + 12*r^2*s^5*t^6 + 16*r^2*s^4*t^7 + 45*r^8*s^4 - 20*r^8*s^3*t - 103*r^7*s^4*t - 51*r^7*s^3*t^2 + 103*r^6*s^4*t^2 + 72*r^5*s^5*t^2 + 88*r^6*s^3*t^3 - 430*r^5*s^4*t^3 - 234*r^4*s^5*t^3 - 69*r^5*s^3*t^4 + 1059*r^4*s^4*t^4 + 252*r^3*s^5*t^4 - 1135*r^3*s^4*t^5 - 90*r^2*s^5*t^5 + 461*r^2*s^4*t^6 - 80*r*s^4*t^7 + 36*r^8*s^3 - 15*r^7*s^4 + 4*r^8*s^2*t - 4*r^7*s^3*t - 92*r^6*s^4*t - 77*r^6*s^3*t^2 + 444*r^5*s^4*t^2 - 15*r^4*s^5*t^2 + 169*r^5*s^3*t^3 - 716*r^4*s^4*t^3 + 48*r^3*s^5*t^3 + 67*r^4*s^3*t^4 + 479*r^3*s^4*t^4 - 51*r^2*s^5*t^4 - 73*r^3*s^3*t^5 - 64*r^2*s^4*t^5 + 18*r*s^5*t^5 + 34*r^2*s^3*t^6 + 32*r*s^4*t^6 - 8*s^4*t^7 - 9*r^8*s^2 - 27*r^7*s^3 + 15*r^7*s^2*t - 30*r^6*s^3*t + 45*r^5*s^4*t + 11*r^6*s^2*t^2 + 121*r^5*s^3*t^2 - 155*r^4*s^4*t^2 - 45*r^5*s^2*t^3 + 243*r^4*s^3*t^3 + 293*r^3*s^4*t^3 - 942*r^3*s^3*t^4 - 251*r^2*s^4*t^4 + 603*r^2*s^3*t^5 + 52*r*s^4*t^5 - 136*r*s^3*t^6 - 8*s^4*t^6 - 9*r^7*s^2 + 54*r^6*s^2*t + 97*r^5*s^3*t - 8*r^5*s^2*t^2 - 422*r^4*s^3*t^2 + 72*r^4*s^2*t^3 + 461*r^3*s^3*t^3 - 26*r^2*s^4*t^3 - 69*r^3*s^2*t^4 - 116*r^2*s^3*t^4 + 38*r*s^4*t^4 + 36*r^2*s^2*t^5 + 56*r*s^3*t^5 - 8*s^4*t^5 - 24*s^3*t^6 + 3*r^7*s - 8*r^6*s*t + 29*r^5*s^2*t - 15*r^4*s^3*t - 11*r^5*s*t^2 - 181*r^4*s^2*t^2 + 100*r^3*s^3*t^2 - 167*r^3*s^2*t^3 - 101*r^2*s^3*t^3 + 323*r^2*s^2*t^4 + 60*r*s^3*t^4 - 108*r*s^2*t^5 - 16*s^3*t^5 - 23*r^5*s*t - 26*r^4*s^2*t + 29*r^4*s*t^2 + 170*r^3*s^2*t^2 - 29*r^3*s*t^3 - 52*r^2*s^2*t^3 - 8*r*s^3*t^3 + 19*r^2*s*t^4 + 4*r*s^2*t^4 - 8*s^3*t^4 - 20*s^2*t^5 - 7*r^4*s*t + 54*r^3*s*t^2 - 20*r^2*s^2*t^2 + 51*r^2*s*t^3 - 4*r*s^2*t^3 - 38*r*s*t^4 - 4*s^2*t^4 + 4*r^4*t - 4*r^3*t^2 - 24*r^2*s*t^2 + 4*r^2*t^3 - 20*r*s*t^3 + 4*s^2*t^3 - 4*r^2*t^2 - 4*r*t^3 + 4*s*t^3 + 4*t^3) * k2^3+  (-8) * s * (2*r^11*s^5*t^2 - 2*r^10*s^5*t^3 + 8*r^11*s^5*t - 41*r^10*s^5*t^2 + 54*r^9*s^5*t^3 - 31*r^8*s^5*t^4 + 10*r^7*s^5*t^5 - 10*r^11*s^5 + 4*r^11*s^4*t + 43*r^10*s^5*t - 4*r^10*s^4*t^2 - 81*r^9*s^5*t^2 + 144*r^8*s^5*t^3 - 132*r^7*s^5*t^4 + 33*r^6*s^5*t^5 + 13*r^5*s^5*t^6 - 10*r^4*s^5*t^7 - 8*r^11*s^4 - 19*r^10*s^4*t + 27*r^9*s^5*t + 63*r^9*s^4*t^2 - 114*r^8*s^5*t^2 - 66*r^8*s^4*t^3 + 180*r^7*s^5*t^3 + 31*r^7*s^4*t^4 - 288*r^6*s^5*t^4 + 349*r^5*s^5*t^5 - 223*r^4*s^5*t^6 + 78*r^3*s^5*t^7 - 11*r^2*s^5*t^8 + 2*r*s^5*t^9 + 2*r^11*s^3 - 2*r^10*s^3*t + 18*r^9*s^4*t + r^8*s^5*t + 97*r^8*s^4*t^2 - 58*r^7*s^5*t^2 - 204*r^7*s^4*t^3 + 225*r^6*s^5*t^3 + 90*r^6*s^4*t^4 - 243*r^5*s^5*t^4 + 34*r^5*s^4*t^5 + 84*r^4*s^5*t^5 - 41*r^4*s^4*t^6 + 18*r^3*s^5*t^6 - 33*r^2*s^5*t^7 + 9*r*s^5*t^8 - 3*s^5*t^9 + 30*r^9*s^4 + 3*r^9*s^3*t - 66*r^8*s^4*t - 37*r^8*s^3*t^2 - 38*r^7*s^4*t^2 + 30*r^6*s^5*t^2 + 33*r^7*s^3*t^3 - 126*r^6*s^4*t^3 - 109*r^5*s^5*t^3 + 534*r^5*s^4*t^4 + 109*r^4*s^5*t^4 - 548*r^4*s^4*t^5 - 36*r^3*s^5*t^5 + 264*r^3*s^4*t^6 - 11*r^2*s^5*t^6 - 45*r^2*s^4*t^7 + 17*r*s^5*t^7 + 10*r*s^4*t^8 + 24*r^9*s^3 - 10*r^8*s^4 - 31*r^8*s^3*t - 77*r^7*s^4*t - 39*r^7*s^3*t^2 + 360*r^6*s^4*t^2 - 10*r^5*s^5*t^2 + 66*r^6*s^3*t^3 - 391*r^5*s^4*t^3 + 40*r^4*s^5*t^3 + 26*r^5*s^3*t^4 + 143*r^4*s^4*t^4 - 60*r^3*s^5*t^4 - 64*r^4*s^3*t^5 + 45*r^3*s^4*t^5 + 54*r^2*s^5*t^5 - 118*r^2*s^4*t^6 - 24*r*s^5*t^6 + 43*r*s^4*t^7 - 15*s^4*t^8 - 6*r^9*s^2 - 18*r^8*s^3 - 45*r^7*s^3*t + 30*r^6*s^4*t + 13*r^7*s^2*t^2 + 201*r^6*s^3*t^2 - 75*r^5*s^4*t^2 + 66*r^5*s^3*t^3 + 20*r^4*s^4*t^3 - 390*r^4*s^3*t^4 + 3*r^3*s^4*t^4 + r^2*s^5*t^4 + 321*r^3*s^3*t^5 - 11*r^2*s^4*t^5 - 4*r*s^5*t^5 - 70*r^2*s^3*t^6 + 54*r*s^4*t^6 + 3*s^5*t^6 + 20*r*s^3*t^7 - 6*s^4*t^7 - 6*r^8*s^2 + 33*r^7*s^2*t + 84*r^6*s^3*t - 6*r^6*s^2*t^2 - 266*r^5*s^3*t^2 + 4*r^5*s^2*t^3 + 79*r^4*s^3*t^3 - 12*r^3*s^4*t^3 - 46*r^4*s^2*t^4 + 84*r^3*s^3*t^4 + 68*r^2*s^4*t^4 - 171*r^2*s^3*t^5 - 68*r*s^4*t^5 + 80*r*s^3*t^6 + 6*s^4*t^6 - 30*s^3*t^7 + 2*r^8*s + r^7*s*t + 39*r^6*s^2*t - 11*r^5*s^3*t - 126*r^5*s^2*t^2 + 18*r^4*s^3*t^2 - 28*r^4*s^2*t^3 + 93*r^3*s^3*t^3 - r^2*s^4*t^3 + 159*r^3*s^2*t^4 - 41*r^2*s^3*t^4 - 4*r*s^4*t^4 - 50*r^2*s^2*t^5 + 64*r*s^3*t^5 + 6*s^4*t^5 + 20*r*s^2*t^6 - 18*s^3*t^6 - 15*r^6*s*t - 20*r^5*s^2*t + r^5*s*t^2 + 56*r^4*s^2*t^2 + 3*r^3*s^3*t^2 - 14*r^4*s*t^3 + 57*r^3*s^2*t^3 - 7*r^2*s^3*t^3 - 121*r^2*s^2*t^4 - 42*r*s^3*t^4 + 72*r*s^2*t^5 + 12*s^3*t^5 - 30*s^2*t^6 - 7*r^5*s*t + 37*r^4*s*t^2 + 6*r^3*s^2*t^2 + 21*r^3*s*t^3 - 43*r^2*s^2*t^3 - 15*r^2*s*t^4 + 34*r*s^2*t^4 + 3*s^3*t^4 + 10*r*s*t^5 - 18*s^2*t^5 + 2*r^5*t - r^4*t^2 - r^2*s^2*t^2 - 36*r^2*s*t^3 + 2*r*s^2*t^3 + 31*r*s*t^4 + 6*s^2*t^4 - 15*s*t^5 - 3*r^3*t^2 - 2*r^2*s*t^2 - r^2*t^3 + 7*r*s*t^3 + 2*r*t^4 - 6*s*t^4 - r^2*t^2 + 5*r*t^3 - 3*t^4) * k1*k2^2+  (-24) * s * (3*r^12*s^5*t - 11*r^11*s^5*t^2 + 13*r^10*s^5*t^3 - 5*r^9*s^5*t^4 - 6*r^12*s^5 + 23*r^11*s^5*t - 46*r^10*s^5*t^2 + 76*r^9*s^5*t^3 - 80*r^8*s^5*t^4 + 37*r^7*s^5*t^5 - 4*r^6*s^5*t^6 - 3*r^12*s^4 - 3*r^11*s^4*t + 24*r^10*s^5*t + 16*r^10*s^4*t^2 - 86*r^9*s^5*t^2 - 12*r^9*s^4*t^3 + 121*r^8*s^5*t^3 - 134*r^7*s^5*t^4 + 151*r^6*s^5*t^5 - 103*r^5*s^5*t^6 + 32*r^4*s^5*t^7 - 5*r^3*s^5*t^8 - 3*r^9*s^5*t + 58*r^9*s^4*t^2 - 32*r^8*s^5*t^2 - 132*r^8*s^4*t^3 + 148*r^7*s^5*t^3 + 102*r^7*s^4*t^4 - 191*r^6*s^5*t^4 - 16*r^6*s^4*t^5 + 91*r^5*s^5*t^5 - 26*r^4*s^5*t^6 + 18*r^3*s^5*t^7 - 7*r^2*s^5*t^8 + 2*r*s^5*t^9 + 18*r^10*s^4 + 3*r^10*s^3*t - 51*r^9*s^4*t - 9*r^9*s^3*t^2 + 37*r^8*s^4*t^2 + 21*r^7*s^5*t^2 - 89*r^7*s^4*t^3 - 76*r^6*s^5*t^3 + 235*r^6*s^4*t^4 + 94*r^5*s^5*t^4 - 271*r^5*s^4*t^5 - 74*r^4*s^5*t^5 + 113*r^4*s^4*t^6 + 76*r^3*s^5*t^6 - 22*r^3*s^4*t^7 - 55*r^2*s^5*t^7 + 17*r*s^5*t^8 - 3*s^5*t^9 + 9*r^10*s^3 - 6*r^9*s^4 - 7*r^9*s^3*t - 40*r^8*s^4*t - 49*r^8*s^3*t^2 + 194*r^7*s^4*t^2 - 6*r^6*s^5*t^2 + 93*r^7*s^3*t^3 - 253*r^6*s^4*t^3 + 26*r^5*s^5*t^3 - 24*r^6*s^3*t^4 + 126*r^5*s^4*t^4 - 49*r^4*s^5*t^4 + 6*r^4*s^4*t^5 + 66*r^3*s^5*t^5 + 22*r^3*s^4*t^6 - 62*r^2*s^5*t^6 - 17*r^2*s^4*t^7 + 28*r*s^5*t^7 + 8*r*s^4*t^8 - 3*s^5*t^8 - 9*r^9*s^3 - 2*r^9*s^2*t - 10*r^8*s^3*t + 18*r^7*s^4*t + 66*r^7*s^3*t^2 - 44*r^6*s^4*t^2 + 38*r^6*s^3*t^3 + 28*r^5*s^4*t^3 - 226*r^5*s^3*t^4 - 53*r^4*s^4*t^4 + r^3*s^5*t^4 + 147*r^4*s^3*t^5 + 133*r^3*s^4*t^5 - 5*r^2*s^5*t^5 - 38*r^3*s^3*t^6 - 166*r^2*s^4*t^6 + 7*r*s^5*t^6 + 68*r*s^4*t^7 - 3*s^5*t^7 - 14*s^4*t^8 - 3*r^9*s^2 + 3*r^8*s^2*t + 45*r^7*s^3*t + 28*r^7*s^2*t^2 - 128*r^6*s^3*t^2 - 16*r^6*s^2*t^3 + 27*r^5*s^3*t^3 - 15*r^4*s^4*t^3 + 123*r^4*s^3*t^4 + 78*r^3*s^4*t^4 - 48*r^3*s^3*t^5 - 126*r^2*s^4*t^5 - 3*r^2*s^3*t^6 + 90*r*s^4*t^6 + 12*r*s^3*t^7 - 15*s^4*t^7 + 21*r^7*s^2*t - 7*r^6*s^3*t - 51*r^6*s^2*t^2 - r^5*s^3*t^2 - 51*r^5*s^2*t^3 + 54*r^4*s^3*t^3 - r^3*s^4*t^3 + 83*r^4*s^2*t^4 + 16*r^3*s^3*t^4 - 3*r^2*s^4*t^4 - 32*r^3*s^2*t^5 - 160*r^2*s^3*t^5 + 10*r*s^4*t^5 + 102*r*s^3*t^6 - 8*s^4*t^6 - 26*s^3*t^7 - 12*r^6*s^2*t - 4*r^6*s*t^2 + 10*r^5*s^2*t^2 + 3*r^4*s^3*t^2 + 103*r^4*s^2*t^3 + 6*r^3*s^3*t^3 - 92*r^3*s^2*t^4 - 64*r^2*s^3*t^4 + 23*r^2*s^2*t^5 + 96*r*s^3*t^5 + 8*r*s^2*t^6 - 27*s^3*t^6 - 5*r^6*s*t + 7*r^5*s*t^2 + 12*r^4*s^2*t^2 + 17*r^4*s*t^3 - 44*r^3*s^2*t^3 - 13*r^3*s*t^4 - 42*r^2*s^2*t^4 + 3*r*s^3*t^4 + 68*r*s^2*t^5 - 7*s^3*t^5 - 24*s^2*t^6 + 12*r^4*s*t^2 - r^3*s^2*t^2 - 42*r^3*s*t^3 + 22*r^2*s*t^4 + 34*r*s^2*t^4 + 2*r*s*t^5 - 21*s^2*t^5 - 3*r^3*s*t^2 - 2*r^3*t^3 + 7*r^2*s*t^3 + 17*r*s*t^4 - 2*s^2*t^4 - 11*s*t^5 - 2*r^3*t^2 + 6*r^2*t^3 - 6*s*t^4 - 2*t^4) * k0*k2^2+  (-4) * (r^12*s^6*t^2 + 10*r^12*s^6*t - 36*r^11*s^6*t^2 + 30*r^10*s^6*t^3 - 12*r^9*s^6*t^4 - 11*r^12*s^6 + 2*r^12*s^5*t + 36*r^11*s^6*t - 60*r^10*s^6*t^2 + 104*r^9*s^6*t^3 - 45*r^8*s^6*t^4 - 12*r^7*s^6*t^5 + 16*r^6*s^6*t^6 - 10*r^12*s^5 - 24*r^11*s^5*t + 30*r^10*s^6*t + 45*r^10*s^5*t^2 - 100*r^9*s^6*t^2 - 25*r^9*s^5*t^3 + 126*r^8*s^6*t^3 - 216*r^7*s^6*t^4 + 164*r^6*s^6*t^5 - 72*r^5*s^6*t^6 + 24*r^4*s^6*t^7 - 12*r^3*s^6*t^8 + r^12*s^4 + 66*r^10*s^5*t + 8*r^9*s^6*t + 55*r^9*s^5*t^2 - 81*r^8*s^6*t^2 - 102*r^8*s^5*t^3 + 216*r^7*s^6*t^3 - 27*r^7*s^5*t^4 - 135*r^6*s^6*t^4 + 52*r^6*s^5*t^5 + 18*r^5*s^6*t^5 + 126*r^4*s^6*t^6 - 140*r^3*s^6*t^7 + 63*r^2*s^6*t^8 - 6*r*s^6*t^9 + s^6*t^10 + 33*r^10*s^5 + 12*r^10*s^4*t - 83*r^9*s^5*t - 13*r^9*s^4*t^2 - 174*r^8*s^5*t^2 + 12*r^7*s^6*t^2 + 27*r^7*s^5*t^3 - 34*r^6*s^6*t^3 + 239*r^6*s^5*t^4 - 132*r^5*s^5*t^5 - 36*r^4*s^6*t^5 + 57*r^4*s^5*t^6 - 16*r^3*s^6*t^6 - 49*r^3*s^5*t^7 + 36*r^2*s^6*t^7 - 12*r*s^6*t^8 - 6*s^6*t^9 + 30*r^10*s^4 - 11*r^9*s^5 - 54*r^9*s^4*t - 96*r^8*s^5*t - 45*r^8*s^4*t^2 + 459*r^7*s^5*t^2 - 11*r^6*s^6*t^2 - 27*r^7*s^4*t^3 - 208*r^6*s^5*t^3 + 54*r^5*s^6*t^3 + 62*r^6*s^4*t^4 - 144*r^5*s^5*t^4 - 114*r^4*s^6*t^4 + 318*r^4*s^5*t^5 + 164*r^3*s^6*t^5 - 455*r^3*s^5*t^6 - 81*r^2*s^6*t^6 + 264*r^2*s^5*t^7 + 6*r*s^6*t^7 - 33*r*s^5*t^8 + 10*s^6*t^8 + 6*s^5*t^9 - 3*r^10*s^3 - 21*r^9*s^4 + r^9*s^3*t - 84*r^8*s^4*t + 33*r^7*s^5*t + 318*r^7*s^4*t^2 - 47*r^6*s^5*t^2 - 9*r^6*s^4*t^3 - 240*r^5*s^5*t^3 - 18*r^5*s^4*t^4 + 189*r^4*s^5*t^4 + 4*r^3*s^6*t^4 + 18*r^4*s^4*t^5 - 55*r^3*s^5*t^5 - 18*r^2*s^6*t^5 - 75*r^3*s^4*t^6 + 108*r^2*s^5*t^6 + 12*r*s^6*t^6 - 45*r*s^5*t^7 - 6*s^6*t^7 - 25*s^5*t^8 - 9*r^9*s^3 + 12*r^8*s^3*t + 117*r^7*s^4*t - 21*r^7*s^3*t^2 - 229*r^6*s^4*t^2 + 34*r^6*s^3*t^3 - 210*r^5*s^4*t^3 + 300*r^4*s^4*t^4 + 175*r^3*s^5*t^4 - 546*r^3*s^4*t^5 - 198*r^2*s^5*t^5 + 438*r^2*s^4*t^6 + 45*r*s^5*t^6 + s^6*t^6 - 75*r*s^4*t^7 + 22*s^5*t^7 + 15*s^4*t^8 + r^9*s^2 + 75*r^7*s^3*t - 15*r^6*s^4*t - 95*r^6*s^3*t^2 - 54*r^5*s^4*t^2 + 72*r^5*s^3*t^3 + 288*r^4*s^4*t^3 - 4*r^3*s^5*t^3 - 48*r^4*s^3*t^4 - 123*r^3*s^4*t^4 - 18*r^2*s^5*t^4 - 50*r^3*s^3*t^5 + 156*r^2*s^4*t^5 + 21*r*s^5*t^5 - 84*r*s^4*t^6 - 13*s^5*t^6 - 39*s^4*t^7 - 9*r^7*s^2*t - 28*r^6*s^3*t + 10*r^6*s^2*t^2 - 36*r^5*s^3*t^2 + 12*r^4*s^4*t^2 + 126*r^4*s^3*t^3 - 12*r^3*s^4*t^3 - 288*r^3*s^3*t^4 - 93*r^2*s^4*t^4 + 360*r^2*s^3*t^5 + 39*r*s^4*t^5 + 2*s^5*t^5 - 90*r*s^3*t^6 + 20*s^4*t^6 + 20*s^3*t^7 - 11*r^6*s^2*t + 30*r^5*s^2*t^2 + 39*r^4*s^3*t^2 - 42*r^4*s^2*t^3 - 77*r^3*s^3*t^3 - 10*r^3*s^2*t^4 + 108*r^2*s^3*t^4 + 6*r*s^4*t^4 - 90*r*s^3*t^5 - 7*s^4*t^5 - 26*s^3*t^6 + 2*r^6*s*t + 18*r^4*s^2*t^2 - 3*r^3*s^3*t^2 - 58*r^3*s^2*t^3 + 12*r^2*s^3*t^3 + 147*r^2*s^2*t^4 - 9*r*s^3*t^4 + s^4*t^4 - 60*r*s^2*t^5 + 16*s^3*t^5 + 15*s^2*t^6 - 9*r^4*s*t^2 - 5*r^3*s^2*t^2 + 3*r^3*s*t^3 + 24*r^2*s^2*t^3 - 3*r*s^3*t^3 - 48*r*s^2*t^4 + s^3*t^4 - 4*s^2*t^5 - r^3*s*t^2 + 24*r^2*s*t^3 - 9*r*s^2*t^3 - 21*r*s*t^4 + 10*s^2*t^4 + 6*s*t^5 + r^3*t^2 - 9*r*s*t^3 + s^2*t^3 + 3*s*t^4 - 3*r*t^3 + 2*s*t^3 + t^4 + t^3) * k1^2*k2+  (-8) * s * (8*r^13*s^5*t - 19*r^12*s^5*t^2 + 11*r^11*s^5*t^3 - 17*r^13*s^5 + 55*r^12*s^5*t - 98*r^11*s^5*t^2 + 116*r^10*s^5*t^3 - 52*r^9*s^5*t^4 - 4*r^8*s^5*t^5 - 8*r^13*s^4 - 11*r^12*s^4*t + 60*r^11*s^5*t + 18*r^11*s^4*t^2 - 178*r^10*s^5*t^2 + 218*r^9*s^5*t^3 - 187*r^8*s^5*t^4 + 73*r^7*s^5*t^5 + 10*r^6*s^5*t^6 + 4*r^5*s^5*t^7 + 37*r^11*s^4*t + 8*r^10*s^5*t + 81*r^10*s^4*t^2 - 139*r^9*s^5*t^2 - 108*r^9*s^4*t^3 + 389*r^8*s^5*t^3 - 4*r^8*s^4*t^4 - 391*r^7*s^5*t^4 + 173*r^6*s^5*t^5 + 50*r^5*s^5*t^6 - 128*r^4*s^5*t^7 + 49*r^3*s^5*t^8 - 11*r^2*s^5*t^9 + 51*r^11*s^4 + 7*r^11*s^3*t - 128*r^10*s^4*t - 93*r^9*s^4*t^2 + 18*r^8*s^5*t^2 + 42*r^8*s^4*t^3 - 43*r^7*s^5*t^3 + 49*r^7*s^4*t^4 + 44*r^6*s^5*t^4 + 56*r^6*s^4*t^5 - 160*r^5*s^5*t^5 + 8*r^5*s^4*t^6 + 208*r^4*s^5*t^6 - 110*r^3*s^5*t^7 + 46*r^2*s^5*t^8 - 6*r*s^5*t^9 + 3*s^5*t^10 + 24*r^11*s^3 - 17*r^10*s^4 - 33*r^10*s^3*t - 151*r^9*s^4*t - 53*r^9*s^3*t^2 + 648*r^8*s^4*t^2 - 17*r^7*s^5*t^2 + 4*r^8*s^3*t^3 - 476*r^7*s^4*t^3 + 97*r^6*s^5*t^3 + 11*r^6*s^4*t^4 - 245*r^5*s^5*t^4 + 328*r^5*s^4*t^5 + 383*r^4*s^5*t^5 - 471*r^4*s^4*t^6 - 295*r^3*s^5*t^6 + 199*r^3*s^4*t^7 + 89*r^2*s^5*t^7 - 51*r^2*s^4*t^8 - 12*s^5*t^9 - 25*r^10*s^3 - 67*r^9*s^3*t + 51*r^8*s^4*t + 292*r^8*s^3*t^2 - 24*r^7*s^4*t^2 - 136*r^7*s^3*t^3 - 359*r^6*s^4*t^3 + 99*r^6*s^3*t^4 + 204*r^5*s^4*t^4 + 5*r^4*s^5*t^4 + 250*r^4*s^4*t^5 - 31*r^3*s^5*t^5 - 313*r^3*s^4*t^6 + 38*r^2*s^5*t^6 + 192*r^2*s^4*t^7 - 24*r*s^5*t^7 - 31*r*s^4*t^8 + 12*s^5*t^8 + 15*s^4*t^9 - 8*r^10*s^2 + 3*r^9*s^2*t + 164*r^8*s^3*t + 4*r^8*s^2*t^2 - 320*r^7*s^3*t^2 - 159*r^6*s^3*t^3 - 73*r^5*s^4*t^3 + 536*r^5*s^3*t^4 + 443*r^4*s^4*t^4 - 652*r^4*s^3*t^5 - 582*r^3*s^4*t^5 + 313*r^3*s^3*t^6 + 290*r^2*s^4*t^6 + 3*r*s^5*t^6 - 94*r^2*s^3*t^7 - 28*r*s^4*t^7 - 3*s^5*t^7 - 44*s^4*t^8 + 65*r^8*s^2*t - 22*r^7*s^3*t - 124*r^7*s^2*t^2 - 122*r^6*s^3*t^2 + 70*r^6*s^2*t^3 + 434*r^5*s^3*t^3 - 5*r^4*s^4*t^3 - 8*r^5*s^2*t^4 - 186*r^4*s^3*t^4 - 23*r^3*s^4*t^4 - 215*r^3*s^3*t^5 + 41*r^2*s^4*t^5 + 270*r^2*s^3*t^6 - 46*r*s^4*t^6 - 56*r*s^3*t^7 + 32*s^4*t^7 + 30*s^3*t^8 - 34*r^7*s^2*t + 5*r^6*s^2*t^2 + 15*r^5*s^3*t^2 + 285*r^5*s^2*t^3 + 45*r^4*s^3*t^3 - 407*r^4*s^2*t^4 - 241*r^3*s^3*t^4 + 235*r^3*s^2*t^5 + 272*r^2*s^3*t^5 + 6*r*s^4*t^5 - 86*r^2*s^2*t^6 - 61*r*s^3*t^6 - 6*s^4*t^6 - 64*s^3*t^7 - 12*r^7*s*t + 17*r^6*s*t^2 + 49*r^5*s^2*t^2 - 4*r^5*s*t^3 - 222*r^4*s^2*t^3 + 37*r^3*s^2*t^4 + 2*r^2*s^3*t^4 + 146*r^2*s^2*t^5 - 33*r*s^3*t^5 - 42*r*s^2*t^6 + 32*s^3*t^6 + 30*s^2*t^7 + 27*r^5*s*t^2 - 2*r^4*s^2*t^2 - 102*r^4*s*t^3 + 42*r^3*s^2*t^3 + 82*r^3*s*t^4 + 46*r^2*s^2*t^4 + 3*r*s^3*t^4 - 39*r^2*s*t^5 - 35*r*s^2*t^5 - 3*s^3*t^5 - 48*s^2*t^6 - 6*r^4*s*t^2 + 49*r^3*s*t^3 - 9*r^2*s^2*t^3 + 20*r^2*s*t^4 - 8*r*s^2*t^4 - 10*r*s*t^5 + 16*s^2*t^5 + 15*s*t^6 - 4*r^4*t^2 + 10*r^3*t^3 - 25*r^2*s*t^3 - 7*r^2*t^4 + r*s*t^4 - 20*s*t^5 - 2*r^2*t^3 + 3*r*s*t^3 + r*t^4 + 4*s*t^4 + 3*t^5 + 3*r*t^3 - 4*t^4) * k0*k1*k2+  (4) * s * (-6*r^14*s^5*t + 6*r^13*s^5*t^2 + 27*r^14*s^5 - 78*r^13*s^5*t + 117*r^12*s^5*t^2 - 66*r^11*s^5*t^3 + 6*r^14*s^4 + 2*r^13*s^4*t - 126*r^12*s^5*t + 360*r^11*s^5*t^2 - 474*r^10*s^5*t^3 + 252*r^9*s^5*t^4 - 18*r^8*s^5*t^5 + 6*r^7*s^5*t^6 - 16*r^12*s^4*t - 32*r^11*s^4*t^2 + 231*r^10*s^5*t^2 - 8*r^10*s^4*t^3 - 648*r^9*s^5*t^3 + 837*r^8*s^5*t^4 - 468*r^7*s^5*t^5 + 72*r^6*s^5*t^6 - 24*r^5*s^5*t^7 - 81*r^12*s^4 + 243*r^11*s^4*t - 217*r^10*s^4*t^2 - 36*r^9*s^5*t^2 + 135*r^9*s^4*t^3 + 36*r^8*s^5*t^3 + 96*r^8*s^4*t^4 - 126*r^7*s^5*t^4 - 8*r^7*s^4*t^5 + 306*r^6*s^5*t^5 - 468*r^5*s^5*t^6 + 348*r^4*s^5*t^7 - 54*r^3*s^5*t^8 - 12*r^2*s^5*t^9 + 6*r*s^5*t^10 - 18*r^12*s^3 + 27*r^11*s^4 + 32*r^11*s^3*t + 228*r^10*s^4*t - 18*r^10*s^3*t^2 - 938*r^9*s^4*t^2 + 27*r^8*s^5*t^2 + 1146*r^8*s^4*t^3 - 168*r^7*s^5*t^3 - 605*r^7*s^4*t^4 + 513*r^6*s^5*t^4 - 166*r^6*s^4*t^5 - 774*r^5*s^5*t^5 + 36*r^5*s^4*t^6 + 693*r^4*s^5*t^6 - 8*r^4*s^4*t^7 - 306*r^3*s^5*t^7 + 24*r*s^5*t^9 - 9*s^5*t^10 + 33*r^11*s^3 - 16*r^10*s^3*t - 81*r^9*s^4*t - 143*r^9*s^3*t^2 - 21*r^8*s^4*t^2 + 256*r^8*s^3*t^3 + 493*r^7*s^4*t^3 - 58*r^7*s^3*t^4 - 346*r^6*s^4*t^4 - 6*r^5*s^5*t^4 - 501*r^5*s^4*t^5 + 30*r^4*s^5*t^5 + 1021*r^4*s^4*t^6 - 90*r^3*s^5*t^6 - 291*r^3*s^4*t^7 + 90*r^2*s^5*t^7 - 20*r^2*s^4*t^8 - 42*r*s^5*t^8 + 26*r*s^4*t^9 + 18*s^5*t^9 + 6*r^11*s^2 - 10*r^10*s^2*t - 229*r^9*s^3*t + 602*r^8*s^3*t^2 - 323*r^7*s^3*t^3 + 254*r^6*s^4*t^3 - 536*r^6*s^3*t^4 - 939*r^5*s^4*t^4 + 256*r^5*s^3*t^5 + 1372*r^4*s^4*t^5 - 34*r^4*s^3*t^6 - 970*r^3*s^4*t^6 - 3*r^2*s^5*t^6 + 78*r^2*s^4*t^7 + 12*r*s^5*t^7 + 77*r*s^4*t^8 - 9*s^5*t^8 - 40*s^4*t^9 - 34*r^9*s^2*t + 33*r^8*s^3*t + 150*r^8*s^2*t^2 + 220*r^7*s^3*t^2 - 68*r^7*s^2*t^3 - 737*r^6*s^3*t^3 + 6*r^5*s^4*t^3 + 527*r^5*s^3*t^4 - 2*r^4*s^4*t^4 + 800*r^4*s^3*t^5 - 97*r^3*s^4*t^5 - 491*r^3*s^3*t^6 + 201*r^2*s^4*t^6 + 20*r^2*s^3*t^7 - 119*r*s^4*t^7 + 44*r*s^3*t^8 + 67*s^4*t^8 + 50*r^8*s^2*t - 174*r^7*s^2*t^2 - 18*r^6*s^3*t^2 - 288*r^6*s^2*t^3 - 174*r^5*s^3*t^3 + 310*r^5*s^2*t^4 + 615*r^4*s^3*t^4 - 54*r^4*s^2*t^5 - 987*r^3*s^3*t^5 - 2*r^2*s^4*t^5 + 233*r^2*s^3*t^6 + 16*r*s^4*t^6 + 77*r*s^3*t^7 - 22*s^4*t^7 - 70*s^3*t^8 + 8*r^8*s*t - 24*r^7*s*t^2 - 81*r^6*s^2*t^2 + 543*r^5*s^2*t^3 - 23*r^4*s^2*t^4 - 14*r^3*s^3*t^4 - 311*r^3*s^2*t^5 + 183*r^2*s^3*t^5 + 60*r^2*s^2*t^6 - 150*r*s^3*t^6 + 36*r*s^2*t^7 + 101*s^3*t^7 + 10*r^6*s*t^2 + 3*r^5*s^2*t^2 + 116*r^5*s*t^3 - 64*r^4*s^2*t^3 - 38*r^4*s*t^4 - 266*r^3*s^2*t^4 - 3*r^2*s^3*t^4 + 222*r^2*s^2*t^5 + 4*r*s^3*t^5 + 9*r*s^2*t^6 - 17*s^3*t^6 - 60*s^2*t^7 + 7*r^5*s*t^2 - 150*r^4*s*t^3 + 9*r^3*s^2*t^3 - 43*r^3*s*t^4 + 69*r^2*s^2*t^4 + 40*r^2*s*t^5 - 111*r*s^2*t^5 + 14*r*s*t^6 + 81*s^2*t^6 + 2*r^5*t^2 - 10*r^4*t^3 + 57*r^3*s*t^3 + 57*r^2*s*t^4 - 25*r*s*t^5 - 4*s^2*t^5 - 25*s*t^6 + 14*r^3*t^3 - 3*r^2*s*t^3 + 8*r^2*t^4 - 38*r*s*t^4 + 2*r*t^5 + 37*s*t^5 - 10*r^2*t^3 - 10*r*t^4 - 4*t^5 + 8*t^4) * k0^2*k2+  (8) * s * (-r^13*s^5*t + 2*r^12*s^5*t^2 - r^11*s^5*t^3 + r^13*s^5 - 2*r^12*s^5*t + 4*r^11*s^5*t^2 - 4*r^10*s^5*t^3 - r^9*s^5*t^4 + 2*r^8*s^5*t^5 + r^13*s^4 + 2*r^12*s^4*t - 3*r^11*s^5*t - 2*r^11*s^4*t^2 + 5*r^10*s^5*t^2 - 7*r^9*s^5*t^3 + 8*r^8*s^5*t^4 - 2*r^7*s^5*t^5 + r^6*s^5*t^6 - 2*r^5*s^5*t^7 - 9*r^11*s^4*t - r^10*s^5*t - r^10*s^4*t^2 + 8*r^9*s^5*t^2 - 10*r^8*s^5*t^3 + 4*r^8*s^4*t^4 + 2*r^7*s^5*t^4 + 8*r^6*s^5*t^5 - 16*r^5*s^5*t^6 + 10*r^4*s^5*t^7 - 2*r^3*s^5*t^8 + r^2*s^5*t^9 - 3*r^11*s^4 - r^11*s^3*t + 9*r^10*s^4*t + 22*r^9*s^4*t^2 - 16*r^8*s^4*t^3 - r^7*s^5*t^3 + 9*r^7*s^4*t^4 - 4*r^6*s^5*t^4 + 8*r^5*s^5*t^5 - 6*r^5*s^4*t^6 - 2*r^4*s^5*t^6 - 2*r^3*s^5*t^7 + 4*r^2*s^5*t^8 - 3*r*s^5*t^9 - 3*r^11*s^3 + r^10*s^4 + 6*r^10*s^3*t + 9*r^9*s^4*t + r^9*s^3*t^2 - 47*r^8*s^4*t^2 + r^7*s^5*t^2 + 2*r^8*s^3*t^3 + 18*r^7*s^4*t^3 - 5*r^6*s^5*t^3 + 25*r^6*s^4*t^4 + 10*r^5*s^5*t^4 - 56*r^5*s^4*t^5 - 7*r^4*s^5*t^5 + 34*r^4*s^4*t^6 - r^3*s^5*t^6 - 9*r^3*s^4*t^7 + 5*r^2*s^5*t^7 + 5*r^2*s^4*t^8 - 6*r*s^5*t^8 + 3*s^5*t^9 + 2*r^10*s^3 + 9*r^9*s^3*t - 3*r^8*s^4*t - 36*r^8*s^3*t^2 + 4*r^7*s^4*t^2 + 22*r^7*s^3*t^3 + 36*r^6*s^4*t^3 - 4*r^6*s^3*t^4 - 53*r^5*s^4*t^4 - r^4*s^5*t^4 - 6*r^5*s^3*t^5 + 34*r^4*s^4*t^5 + 5*r^3*s^5*t^5 - 3*r^3*s^4*t^6 - 10*r^2*s^5*t^6 + 13*r^2*s^4*t^7 + 9*r*s^5*t^7 - 13*r*s^4*t^8 - 3*s^5*t^8 + r^10*s^2 - 13*r^8*s^3*t + 26*r^7*s^3*t^2 + 30*r^6*s^3*t^3 - 7*r^5*s^4*t^3 - 70*r^5*s^3*t^4 + 45*r^4*s^3*t^5 + 18*r^3*s^4*t^5 - 16*r^3*s^3*t^6 - 16*r^2*s^4*t^6 + 10*r^2*s^3*t^7 - 12*r*s^4*t^7 + 11*s^4*t^8 - 10*r^8*s^2*t + 2*r^7*s^3*t + 13*r^7*s^2*t^2 + 10*r^6*s^3*t^2 - 4*r^6*s^2*t^3 - 64*r^5*s^3*t^3 + r^4*s^4*t^3 - 2*r^5*s^2*t^4 + 56*r^4*s^3*t^4 + 5*r^3*s^4*t^4 + r^3*s^3*t^5 - 20*r^2*s^4*t^5 + 14*r^2*s^3*t^6 + 23*r*s^4*t^6 - 22*r*s^3*t^7 - 8*s^4*t^7 + 4*r^7*s^2*t + 11*r^6*s^2*t^2 - 3*r^5*s^3*t^2 - 38*r^5*s^2*t^3 + 12*r^4*s^3*t^3 + 29*r^4*s^2*t^4 + 15*r^3*s^3*t^4 - 14*r^3*s^2*t^5 - 36*r^2*s^3*t^5 + 10*r^2*s^2*t^6 - 6*r*s^3*t^6 + 16*s^3*t^7 + 2*r^7*s*t - r^6*s*t^2 - 11*r^5*s^2*t^2 + 22*r^4*s^2*t^3 + 5*r^3*s^2*t^4 - 10*r^2*s^3*t^4 + 4*r^2*s^2*t^5 + 19*r*s^3*t^5 - 18*r*s^2*t^6 - 8*s^3*t^6 - 8*r^5*s*t^2 + r^4*s^2*t^2 + 9*r^4*s*t^3 - 6*r^3*s*t^4 - 16*r^2*s^2*t^4 + 5*r^2*s*t^5 + 12*s^2*t^6 + 2*r^4*s*t^2 + 3*r^3*s*t^3 - 2*r^2*s*t^4 + 5*r*s^2*t^4 - 7*r*s*t^5 - 4*s^2*t^5 + r^4*t^2 - r^3*t^3 - r^2*s*t^3 + r^2*t^4 + 5*s*t^5 - r^2*t^3 - r*t^4 - s*t^4 + t^4) * k1^3+  (8) * s * (-2*r^14*s^5*t + 2*r^13*s^5*t^2 + 5*r^14*s^5 - 11*r^13*s^5*t + 18*r^12*s^5*t^2 - 9*r^11*s^5*t^3 - 3*r^10*s^5*t^4 + 2*r^14*s^4 + 2*r^13*s^4*t - 18*r^12*s^5*t + 29*r^11*s^5*t^2 - 29*r^10*s^5*t^3 + 3*r^9*s^5*t^4 + 13*r^8*s^5*t^5 + 2*r^7*s^5*t^6 - 14*r^12*s^4*t - 5*r^11*s^5*t - 4*r^11*s^4*t^2 + 50*r^10*s^5*t^2 - 5*r^10*s^4*t^3 - 69*r^9*s^5*t^3 + 48*r^8*s^5*t^4 + 3*r^7*s^5*t^5 - 27*r^6*s^5*t^6 + 3*r^5*s^5*t^7 - 3*r^4*s^5*t^8 - 15*r^12*s^4 + 39*r^11*s^4*t + 26*r^10*s^4*t^2 + 3*r^9*s^5*t^2 - 45*r^9*s^4*t^3 - 21*r^8*s^5*t^3 + 49*r^8*s^4*t^4 - 27*r^7*s^5*t^4 + 81*r^6*s^5*t^5 - 77*r^5*s^5*t^6 + 35*r^4*s^5*t^7 + 9*r^3*s^5*t^8 - 5*r^2*s^5*t^9 + 2*r*s^5*t^10 - 6*r^12*s^3 + 5*r^11*s^4 + 11*r^11*s^3*t + 49*r^10*s^4*t - 3*r^10*s^3*t^2 - 202*r^9*s^4*t^2 + 5*r^8*s^5*t^2 + 170*r^8*s^4*t^3 - 32*r^7*s^5*t^3 - 7*r^7*s^4*t^4 + 81*r^6*s^5*t^4 - 89*r^6*s^4*t^5 - 69*r^5*s^5*t^5 + 20*r^5*s^4*t^6 + 30*r^4*s^5*t^6 - 11*r^4*s^4*t^7 - 9*r^3*s^5*t^7 - 5*r^2*s^5*t^8 + 2*r*s^5*t^9 - 3*s^5*t^10 + 7*r^11*s^3 + 9*r^10*s^3*t - 15*r^9*s^4*t - 73*r^9*s^3*t^2 - 6*r^8*s^4*t^2 + 61*r^8*s^3*t^3 + 151*r^7*s^4*t^3 - 8*r^7*s^3*t^4 - 203*r^6*s^4*t^4 - 4*r^5*s^5*t^4 + 69*r^5*s^4*t^5 + 28*r^4*s^5*t^5 + 16*r^4*s^4*t^6 - 81*r^3*s^5*t^6 + 39*r^3*s^4*t^7 + 95*r^2*s^5*t^7 - 21*r^2*s^4*t^8 - 53*r*s^5*t^8 + 10*r*s^4*t^9 + 15*s^5*t^9 + 2*r^11*s^2 - r^10*s^2*t - 53*r^9*s^3*t + 145*r^8*s^3*t^2 - 17*r^7*s^3*t^3 + 7*r^6*s^4*t^3 - 103*r^6*s^3*t^4 - 53*r^5*s^4*t^4 + 42*r^5*s^3*t^5 + 135*r^4*s^4*t^5 - 16*r^4*s^3*t^6 - 134*r^3*s^4*t^6 - r^2*s^5*t^6 + 64*r^2*s^4*t^7 + 4*r*s^5*t^7 - 17*r*s^4*t^8 - 3*s^5*t^8 - 11*s^4*t^9 - 17*r^9*s^2*t + 9*r^8*s^3*t + 29*r^8*s^2*t^2 + 48*r^7*s^3*t^2 - 8*r^7*s^2*t^3 - 277*r^6*s^3*t^3 + 4*r^5*s^4*t^3 + 282*r^5*s^3*t^4 + 20*r^4*s^4*t^4 - 108*r^4*s^3*t^5 - 125*r^3*s^4*t^5 + 68*r^3*s^3*t^6 + 204*r^2*s^4*t^6 - 34*r^2*s^3*t^7 - 161*r*s^4*t^7 + 20*r*s^3*t^8 + 56*s^4*t^8 + 13*r^8*s^2*t - 13*r^7*s^2*t^2 - 12*r^6*s^3*t^2 - 51*r^6*s^2*t^3 + 35*r^5*s^3*t^3 + 38*r^5*s^2*t^4 + 72*r^4*s^3*t^4 - 12*r^4*s^2*t^5 - 192*r^3*s^3*t^5 - 2*r^2*s^4*t^5 + 179*r^2*s^3*t^6 + 8*r*s^4*t^6 - 70*r*s^3*t^7 - 5*s^4*t^7 - 14*s^3*t^8 + 4*r^8*s*t - 2*r^7*s*t^2 - 33*r^6*s^2*t^2 + 141*r^5*s^2*t^3 - 118*r^4*s^2*t^4 - 49*r^3*s^3*t^4 + 56*r^3*s^2*t^5 + 146*r^2*s^3*t^5 - 26*r^2*s^2*t^6 - 183*r*s^3*t^6 + 20*r*s^2*t^7 + 82*s^3*t^7 - 10*r^6*s*t^2 + 3*r^5*s^2*t^2 + 15*r^5*s*t^3 - 21*r^4*s^2*t^3 - 5*r^4*s*t^4 - 58*r^3*s^2*t^4 - r^2*s^3*t^4 + 145*r^2*s^2*t^5 + 4*r*s^3*t^5 - 88*r*s^2*t^6 - s^3*t^6 - 6*s^2*t^7 + 5*r^5*s*t^2 - 29*r^4*s*t^3 + 3*r^3*s^2*t^3 + 19*r^3*s*t^4 + 36*r^2*s^2*t^4 - 9*r^2*s*t^5 - 95*r*s^2*t^5 + 10*r*s*t^6 + 60*s^2*t^6 + 2*r^5*t^2 - r^4*t^3 + 9*r^3*s*t^3 + 34*r^2*s*t^4 - 44*r*s*t^5 + s^2*t^5 + s*t^6 + r^3*t^3 - r^2*s*t^3 - r^2*t^4 - 20*r*s*t^4 + 2*r*t^5 + 23*s*t^5 - r^2*t^3 - 7*r*t^4 + t^5 + 4*t^4) * k0*k1^2+  (8) * (-r^15*s^6*t + 7*r^15*s^6 - 12*r^14*s^6*t + 12*r^13*s^6*t^2 + r^12*s^6*t^3 + r^15*s^5 - 33*r^13*s^6*t + 45*r^12*s^6*t^2 - 27*r^11*s^6*t^3 - 12*r^10*s^6*t^4 - r^9*s^6*t^5 - 3*r^13*s^5*t - 7*r^12*s^6*t + 4*r^12*s^5*t^2 + 93*r^11*s^6*t^2 - 105*r^10*s^6*t^3 + 44*r^9*s^6*t^4 + 24*r^8*s^6*t^5 + 6*r^7*s^6*t^6 + r^6*s^6*t^7 - 21*r^13*s^5 + 52*r^12*s^5*t - 36*r^11*s^5*t^2 + 12*r^10*s^6*t^2 - 27*r^10*s^5*t^3 - 95*r^9*s^6*t^3 + 4*r^9*s^5*t^4 + 15*r^8*s^6*t^4 + 114*r^7*s^6*t^5 - 136*r^6*s^6*t^6 + 27*r^5*s^6*t^7 - 6*r^4*s^6*t^8 - r^3*s^6*t^9 - 3*r^13*s^4 + 7*r^12*s^5 + 6*r^12*s^4*t + 78*r^11*s^5*t - 261*r^10*s^5*t^2 + 7*r^9*s^6*t^2 + 309*r^9*s^5*t^3 - 57*r^8*s^6*t^3 - 87*r^8*s^5*t^4 + 186*r^7*s^6*t^4 + 48*r^7*s^5*t^5 - 156*r^6*s^6*t^5 - 3*r^6*s^5*t^6 + 69*r^5*s^6*t^6 - 33*r^4*s^6*t^7 + 51*r^3*s^6*t^8 - 12*r^2*s^6*t^9 + s^6*t^11 + 8*r^12*s^4 - 18*r^11*s^4*t - 21*r^10*s^5*t - 21*r^10*s^4*t^2 - 65*r^9*s^5*t^2 + 12*r^9*s^4*t^3 + 264*r^8*s^5*t^3 - 360*r^7*s^5*t^4 - 3*r^6*s^6*t^4 + 151*r^6*s^5*t^5 + 33*r^5*s^6*t^5 - 129*r^5*s^5*t^6 - 174*r^4*s^6*t^6 + 27*r^4*s^5*t^7 + 247*r^3*s^6*t^7 - 7*r^3*s^5*t^8 - 177*r^2*s^6*t^8 + 57*r*s^6*t^9 - 11*s^6*t^10 + r^12*s^3 - 66*r^10*s^4*t + 244*r^9*s^4*t^2 - 201*r^8*s^4*t^3 + 93*r^7*s^5*t^3 + 96*r^7*s^4*t^4 - 200*r^6*s^5*t^4 - 16*r^6*s^4*t^5 + 300*r^5*s^5*t^5 - 312*r^4*s^5*t^6 - 3*r^3*s^6*t^6 + 339*r^3*s^5*t^7 + 24*r^2*s^6*t^7 - 120*r^2*s^5*t^8 - 24*r*s^6*t^8 + 15*r*s^5*t^9 + 11*s^6*t^9 + 4*s^5*t^10 + 10*r^9*s^4*t + 8*r^9*s^3*t^2 + 81*r^8*s^4*t^2 - 435*r^7*s^4*t^3 + 3*r^6*s^5*t^3 + 583*r^6*s^4*t^4 + 15*r^5*s^5*t^4 - 456*r^5*s^4*t^5 - 243*r^4*s^5*t^5 + 141*r^4*s^4*t^6 + 522*r^3*s^5*t^6 - 21*r^3*s^4*t^7 - 510*r^2*s^5*t^7 + 204*r*s^5*t^8 - s^6*t^8 - 47*s^5*t^9 + 14*r^9*s^3*t - 96*r^8*s^3*t^2 - 9*r^7*s^4*t^2 + 72*r^7*s^3*t^3 - 7*r^6*s^4*t^3 - 20*r^6*s^3*t^4 + 165*r^5*s^4*t^4 - 447*r^4*s^4*t^5 - 2*r^3*s^5*t^5 + 644*r^3*s^4*t^6 + 36*r^2*s^5*t^6 - 321*r^2*s^4*t^7 - 57*r*s^5*t^7 + 63*r*s^4*t^8 + 36*s^5*t^8 + 5*s^4*t^9 + r^9*s^2*t - 30*r^7*s^3*t^2 + 299*r^6*s^3*t^3 - 411*r^5*s^3*t^4 - 78*r^4*s^4*t^4 + 195*r^4*s^3*t^5 + 370*r^3*s^4*t^5 - 32*r^3*s^3*t^6 - 540*r^2*s^4*t^6 + 282*r*s^4*t^7 - s^5*t^7 - 79*s^4*t^8 + 18*r^7*s^2*t^2 - 9*r^6*s^2*t^3 - 48*r^5*s^3*t^3 - 141*r^4*s^3*t^4 - 3*r^3*s^4*t^4 + 471*r^3*s^3*t^5 + 12*r^2*s^4*t^5 - 363*r^2*s^3*t^6 - 45*r*s^4*t^6 + 102*r*s^3*t^7 + 43*s^4*t^7 + 3*r^6*s^2*t^2 - 111*r^5*s^2*t^3 + 9*r^4*s^3*t^3 + 105*r^4*s^2*t^4 + 93*r^3*s^3*t^4 - 25*r^3*s^2*t^5 - 258*r^2*s^3*t^5 + 192*r*s^3*t^6 + s^4*t^6 - 66*s^3*t^7 - r^6*s*t^2 + 27*r^4*s^2*t^3 + 111*r^3*s^2*t^4 - 183*r^2*s^2*t^5 - 15*r*s^3*t^5 + 78*r*s^2*t^6 + 23*s^3*t^6 - 5*s^2*t^7 + 18*r^4*s*t^3 - 2*r^3*s^2*t^3 - 9*r^3*s*t^4 - 51*r^2*s^2*t^4 + 69*r*s^2*t^5 + s^3*t^5 - 29*s^2*t^6 - 4*r^3*s*t^3 - 33*r^2*s*t^4 - 3*r*s^2*t^4 + 27*r*s*t^5 + 6*s^2*t^5 - 4*s*t^6 - r^3*t^3 + 12*r*s*t^4 - 7*s*t^5 + 3*r*t^4 + s*t^4 - t^5 - t^4) * k0^2*k1+  (8) * s * (3*r^16*s^5 - 3*r^15*s^5*t - 18*r^14*s^5*t + 15*r^13*s^5*t^2 + 3*r^12*s^5*t^3 + 4*r^14*s^4*t - 3*r^13*s^5*t + 57*r^12*s^5*t^2 - 45*r^11*s^5*t^3 - 6*r^10*s^5*t^4 - 3*r^9*s^5*t^5 - 9*r^14*s^4 + 20*r^13*s^4*t - 41*r^12*s^4*t^2 + 9*r^11*s^5*t^2 + 12*r^11*s^4*t^3 - 93*r^10*s^5*t^3 + 57*r^9*s^5*t^4 + 27*r^8*s^5*t^5 - 3*r^7*s^5*t^6 + 3*r^6*s^5*t^7 + 3*r^13*s^4 + 40*r^12*s^4*t - 109*r^11*s^4*t^2 + 3*r^10*s^5*t^2 + 183*r^10*s^4*t^3 - 30*r^9*s^5*t^3 - 113*r^9*s^4*t^4 + 135*r^8*s^5*t^4 + 20*r^8*s^4*t^5 - 108*r^7*s^5*t^5 + 27*r^6*s^5*t^6 - 36*r^5*s^5*t^7 + 12*r^4*s^5*t^8 - 3*r^3*s^5*t^9 + 3*r^13*s^3 - 19*r^12*s^3*t - 9*r^11*s^4*t + 18*r^11*s^3*t^2 - 65*r^10*s^4*t^2 + 176*r^9*s^4*t^3 - 294*r^8*s^4*t^4 + 282*r^7*s^4*t^5 - 92*r^6*s^4*t^6 - 108*r^5*s^5*t^6 + 12*r^5*s^4*t^7 + 192*r^4*s^5*t^7 - 138*r^3*s^5*t^8 + 72*r^2*s^5*t^9 - 21*r*s^5*t^10 + 3*s^5*t^11 - 28*r^11*s^3*t + 143*r^10*s^3*t^2 - 183*r^9*s^3*t^3 + 95*r^8*s^4*t^3 + 52*r^8*s^3*t^4 - 173*r^7*s^4*t^4 + 217*r^6*s^4*t^5 - 321*r^5*s^4*t^6 + 162*r^4*s^4*t^7 + 27*r^3*s^5*t^7 - 44*r^3*s^4*t^8 - 36*r^2*s^5*t^8 + 4*r^2*s^4*t^9 + 12*r*s^5*t^9 - 3*s^5*t^10 + 6*r^11*s^2*t + 3*r^10*s^3*t + 53*r^9*s^3*t^2 - 298*r^8*s^3*t^3 + 516*r^7*s^3*t^4 - 10*r^6*s^4*t^4 - 260*r^6*s^3*t^5 - 147*r^5*s^4*t^5 + 42*r^5*s^3*t^6 + 421*r^4*s^4*t^6 - 367*r^3*s^4*t^7 + 242*r^2*s^4*t^8 - 3*r*s^5*t^8 - 88*r*s^4*t^9 + 3*s^5*t^9 + 15*s^4*t^10 + 7*r^10*s^2*t - 73*r^9*s^2*t^2 + 44*r^8*s^2*t^3 - 38*r^7*s^3*t^3 + 176*r^6*s^3*t^4 - 511*r^5*s^3*t^5 + 4*r^4*s^4*t^5 + 380*r^4*s^3*t^6 + 32*r^3*s^4*t^6 - 127*r^3*s^3*t^7 - 94*r^2*s^4*t^7 + 16*r^2*s^3*t^8 + 37*r*s^4*t^8 - 11*s^4*t^9 - 24*r^8*s^2*t^2 + 236*r^7*s^2*t^3 - 232*r^6*s^2*t^4 - 53*r^5*s^3*t^4 + 54*r^5*s^2*t^5 + 314*r^4*s^3*t^5 - 336*r^3*s^3*t^6 + 293*r^2*s^3*t^7 - 3*r*s^4*t^7 - 142*r*s^3*t^8 + 9*s^4*t^8 + 30*s^3*t^9 + 12*r^8*s*t^2 - 4*r^6*s^2*t^3 - 232*r^5*s^2*t^4 + 323*r^4*s^2*t^5 + 5*r^3*s^3*t^5 - 147*r^3*s^2*t^6 - 89*r^2*s^3*t^6 + 24*r^2*s^2*t^7 + 42*r*s^3*t^7 - 14*s^3*t^8 + 5*r^7*s*t^2 - 67*r^6*s*t^3 + 30*r^5*s*t^4 + 88*r^4*s^2*t^4 - 123*r^3*s^2*t^5 + 147*r^2*s^2*t^6 + 3*r*s^3*t^6 - 108*r*s^2*t^7 + 9*s^3*t^7 + 30*s^2*t^8 - 6*r^5*s*t^3 + 94*r^4*s*t^4 - 74*r^3*s*t^5 - 40*r^2*s^2*t^5 + 16*r^2*s*t^6 + 24*r*s^2*t^6 - 6*s^2*t^7 + 6*r^5*t^3 + 3*r^4*s*t^3 - 16*r^3*s*t^4 + 23*r^2*s*t^5 + 3*r*s^2*t^5 - 37*r*s*t^6 + 3*s^2*t^6 + 15*s*t^7 + r^4*t^3 - 13*r^3*t^4 - 9*r^2*s*t^4 + 4*r^2*t^5 + 10*r*s*t^5 + s*t^6 - r^2*t^4 - 4*r*t^5 + 3*t^6 + 3*r*t^4 + t^5) * k0^3;

Xi3old := (r^6*s^2 - 6*r^4*s^2*t + 2*r^3*s^2*t^2 + 2*r^3*s^2*t + 9*r^2*s^2*t^2 - 6*r*s^2*t^3 + s^2*t^4 - 3*r^4*s + 3*r^3*s*t - 6*r*s^2*t^2 + 2*s^2*t^3 + r^3*s + 6*r^2*s*t - 9*r*s*t^2 + s^2*t^2 + 2*s*t^3 + r^3 - 3*r*s*t + 3*s*t^2 - 3*r*t + t^2 + t) * k3^3 +  (24) * s * (r^11*s^5*t^2 - r^10*s^5*t^3 + r^11*s^5*t - r^10*s^5*t^2 - 12*r^9*s^5*t^3 + 16*r^8*s^5*t^4 - 4*r^7*s^5*t^5 - 11*r^11*s^5 + 2*r^11*s^4*t + 65*r^10*s^5*t - 2*r^10*s^4*t^2 - 195*r^9*s^5*t^2 + 339*r^8*s^5*t^3 - 303*r^7*s^5*t^4 + 135*r^6*s^5*t^5 - 34*r^5*s^5*t^6 + 4*r^4*s^5*t^7 - r^11*s^4 + 7*r^10*s^4*t + 18*r^9*s^5*t - 27*r^9*s^4*t^2 - 33*r^8*s^5*t^2 + 30*r^8*s^4*t^3 + 24*r^7*s^5*t^3 - 10*r^7*s^4*t^4 - 102*r^6*s^5*t^4 + 164*r^5*s^5*t^5 - 104*r^4*s^5*t^6 + 42*r^3*s^5*t^7 - 10*r^2*s^5*t^8 + r*s^5*t^9 + r^11*s^3 - r^10*s^3*t - 117*r^9*s^4*t + 2*r^8*s^5*t + 407*r^8*s^4*t^2 - 95*r^7*s^5*t^2 - 534*r^7*s^4*t^3 + 303*r^6*s^5*t^3 + 348*r^6*s^4*t^4 - 363*r^5*s^5*t^4 - 112*r^5*s^4*t^5 + 219*r^4*s^5*t^5 + 14*r^4*s^4*t^6 - 48*r^3*s^5*t^6 - 36*r^2*s^5*t^7 + 21*r*s^5*t^8 - 3*s^5*t^9 + 33*r^9*s^4 - 18*r^9*s^3*t + 13*r^8*s^3*t^2 - 67*r^7*s^4*t^2 + 42*r^6*s^5*t^2 - 6*r^7*s^3*t^3 - 102*r^6*s^4*t^3 - 134*r^5*s^5*t^3 + 264*r^5*s^4*t^4 + 164*r^4*s^5*t^4 - 241*r^4*s^4*t^5 - 111*r^3*s^5*t^5 + 132*r^3*s^4*t^6 + 29*r^2*s^5*t^6 - 39*r^2*s^4*t^7 + 16*r*s^5*t^7 + 5*r*s^4*t^8 - 6*s^5*t^8 + 3*r^9*s^3 - 11*r^8*s^4 + 91*r^8*s^3*t - 97*r^7*s^4*t - 231*r^7*s^3*t^2 + 342*r^6*s^4*t^2 - 11*r^5*s^5*t^2 + 282*r^6*s^3*t^3 - 530*r^5*s^4*t^3 + 41*r^4*s^5*t^3 - 131*r^5*s^3*t^4 + 613*r^4*s^4*t^4 - 72*r^3*s^5*t^4 + 16*r^4*s^3*t^5 - 306*r^3*s^4*t^5 + 78*r^2*s^5*t^5 - 53*r^2*s^4*t^6 - 42*r*s^5*t^6 + 77*r*s^4*t^7 + 6*s^5*t^7 - 15*s^4*t^8 - 3*r^9*s^2 - 12*r^8*s^3 - 36*r^7*s^3*t + 33*r^6*s^4*t + 2*r^7*s^2*t^2 + 42*r^6*s^3*t^2 - 72*r^5*s^4*t^2 + 54*r^5*s^3*t^3 + 115*r^4*s^4*t^3 - 153*r^4*s^3*t^4 - 240*r^3*s^4*t^4 + 2*r^2*s^5*t^4 + 144*r^3*s^3*t^5 + 137*r^2*s^4*t^5 - 5*r*s^5*t^5 - 56*r^2*s^3*t^6 + 36*r*s^4*t^6 + 3*s^5*t^6 + 10*r*s^3*t^7 - 24*s^4*t^7 + 78*r^6*s^3*t + 60*r^6*s^2*t^2 - 232*r^5*s^3*t^2 - 61*r^5*s^2*t^3 + 389*r^4*s^3*t^3 - 27*r^3*s^4*t^3 + 4*r^4*s^2*t^4 - 366*r^3*s^3*t^4 + 115*r^2*s^4*t^4 - 100*r*s^4*t^5 + 109*r*s^3*t^6 + 18*s^4*t^6 - 30*s^3*t^7 + r^8*s + 2*r^7*s*t + 9*r^6*s^2*t - 13*r^5*s^3*t - 48*r^5*s^2*t^2 + 15*r^4*s^3*t^2 + r^4*s^2*t^3 - 54*r^3*s^3*t^3 - 2*r^2*s^4*t^3 + 60*r^3*s^2*t^4 + 128*r^2*s^3*t^4 - 5*r*s^4*t^4 - 34*r^2*s^2*t^5 + 23*r*s^3*t^5 + 6*s^4*t^5 + 10*r*s^2*t^6 - 36*s^3*t^6 - 9*r^6*s*t - 16*r^5*s^2*t - 7*r^5*s*t^2 + 61*r^4*s^2*t^2 + 6*r^3*s^3*t^2 - 4*r^4*s*t^3 - 105*r^3*s^2*t^3 + 13*r^2*s^3*t^3 + 13*r^2*s^2*t^4 - 63*r*s^3*t^4 + 75*r*s^2*t^5 + 18*s^3*t^5 - 30*s^2*t^6 - 2*r^5*s*t + 17*r^4*s*t^2 + 9*r^3*s^2*t^2 + 6*r^3*s*t^3 + 16*r^2*s^2*t^3 - 6*r^2*s*t^4 + 2*r*s^2*t^4 + 3*s^3*t^4 + 5*r*s*t^5 - 24*s^2*t^5 + r^5*t - 2*r^4*t^2 + 3*r^3*s*t^2 - 2*r^2*s^2*t^2 - 6*r^2*s*t^3 - 5*r*s^2*t^3 + 26*r*s*t^4 + 6*s^2*t^4 - 15*s*t^5 - 4*r^2*s*t^2 + r^2*t^3 - r*s*t^3 + r*t^4 - 6*s*t^4 - 2*r^2*t^2 + 4*r*t^3 - 3*t^4) * k1*k2*k3 +  (-12) * s * (5*r^10*s^5*t^2 - 8*r^9*s^5*t^3 + 3*r^8*s^5*t^4 - 4*r^10*s^5*t - 20*r^9*s^5*t^2 + 42*r^8*s^5*t^3 - 22*r^7*s^5*t^4 + 4*r^6*s^5*t^5 + 17*r^10*s^5 + 6*r^10*s^4*t - 98*r^9*s^5*t - 8*r^9*s^4*t^2 + 375*r^8*s^5*t^2 + 8*r^8*s^4*t^3 - 666*r^7*s^5*t^3 + 639*r^6*s^5*t^4 - 372*r^5*s^5*t^5 + 130*r^4*s^5*t^6 - 28*r^3*s^5*t^7 + 3*r^2*s^5*t^8 + 4*r^10*s^4 - 44*r^9*s^4*t - 42*r^8*s^5*t + 65*r^8*s^4*t^2 + 30*r^7*s^5*t^2 - 63*r^7*s^4*t^3 - 30*r^6*s^5*t^3 + 3*r^6*s^4*t^4 + 150*r^5*s^5*t^4 + 7*r^5*s^4*t^5 - 218*r^4*s^5*t^5 + 134*r^3*s^5*t^6 - 18*r^2*s^5*t^7 - 8*r*s^5*t^8 + 2*s^5*t^9 + 5*r^10*s^3 + 230*r^8*s^4*t + 10*r^7*s^5*t + 7*r^8*s^3*t^2 - 779*r^7*s^4*t^2 + 143*r^6*s^5*t^2 + 1226*r^6*s^4*t^3 - 444*r^5*s^5*t^3 - 946*r^5*s^4*t^4 + 567*r^4*s^5*t^4 + 406*r^4*s^4*t^5 - 378*r^3*s^5*t^5 - 109*r^3*s^4*t^6 + 132*r^2*s^5*t^6 + 14*r^2*s^4*t^7 - 36*r*s^5*t^7 + 6*s^5*t^8 - 51*r^8*s^4 + 4*r^8*s^3*t - 9*r^7*s^4*t - 19*r^7*s^3*t^2 + 129*r^6*s^4*t^2 - 90*r^5*s^5*t^2 - 30*r^6*s^3*t^3 - 10*r^5*s^4*t^3 + 260*r^4*s^5*t^3 + 29*r^5*s^3*t^4 - 309*r^4*s^4*t^4 - 326*r^3*s^5*t^4 + 303*r^3*s^4*t^5 + 192*r^2*s^5*t^5 - 9*r^2*s^4*t^6 - 38*r*s^5*t^6 - 58*r*s^4*t^7 + 2*s^5*t^7 + 14*s^4*t^8 - 12*r^8*s^3 + 17*r^7*s^4 + 2*r^8*s^2*t - 178*r^7*s^3*t + 130*r^6*s^4*t + 639*r^6*s^3*t^2 - 494*r^5*s^4*t^2 + 17*r^4*s^5*t^2 - 837*r^5*s^3*t^3 + 896*r^4*s^4*t^3 - 50*r^3*s^5*t^3 + 489*r^4*s^3*t^4 - 1037*r^3*s^4*t^4 + 69*r^2*s^5*t^4 - 171*r^3*s^3*t^5 + 602*r^2*s^4*t^5 - 42*r*s^5*t^5 + 26*r^2*s^3*t^6 - 226*r*s^4*t^6 + 6*s^5*t^6 + 42*s^4*t^7 - 15*r^8*s^2 + 21*r^7*s^3 + 27*r^7*s^2*t + 92*r^6*s^3*t - 51*r^5*s^4*t - 53*r^6*s^2*t^2 - 245*r^5*s^3*t^2 + 159*r^4*s^4*t^2 + 45*r^5*s^2*t^3 + 103*r^4*s^3*t^3 - 339*r^3*s^4*t^3 + 172*r^3*s^3*t^4 + 501*r^2*s^4*t^4 - 2*r*s^5*t^4 + 49*r^2*s^3*t^5 - 218*r*s^4*t^5 + 2*s^5*t^5 - 132*r*s^3*t^6 + 32*s^4*t^6 + 36*s^3*t^7 + 9*r^7*s^2 + 64*r^6*s^2*t - 115*r^5*s^3*t - 272*r^5*s^2*t^2 + 398*r^4*s^3*t^2 + 280*r^4*s^2*t^3 - 687*r^3*s^3*t^3 + 26*r^2*s^4*t^3 - 139*r^3*s^2*t^4 + 628*r^2*s^3*t^4 - 98*r*s^4*t^4 + 24*r^2*s^2*t^5 - 358*r*s^3*t^5 + 30*s^4*t^5 + 90*s^3*t^6 + 5*r^7*s - 24*r^6*s*t - 63*r^5*s^2*t + 19*r^4*s^3*t + 31*r^5*s*t^2 + 183*r^4*s^2*t^2 - 74*r^3*s^3*t^2 - 29*r^3*s^2*t^3 + 193*r^2*s^3*t^3 + 2*r*s^4*t^3 + 49*r^2*s^2*t^4 - 216*r*s^3*t^4 + 6*s^4*t^4 - 128*r*s^2*t^5 + 62*s^3*t^5 + 44*s^2*t^6 - 9*r^5*s*t + 32*r^4*s^2*t + 67*r^4*s*t^2 - 112*r^3*s^2*t^2 - 6*r^2*s^3*t^2 - 61*r^3*s*t^3 + 144*r^2*s^2*t^3 - 6*r*s^3*t^3 + 11*r^2*s*t^4 - 176*r*s^2*t^4 + 24*s^3*t^4 + 78*s^2*t^5 + 8*r^5*t + 13*r^4*s*t - 32*r^3*s*t^2 - 4*r^2*s^2*t^2 + 5*r^2*s*t^3 - 28*r*s^2*t^3 - 52*r*s*t^4 + 36*s^2*t^4 + 26*s*t^5 - 12*r^3*t^2 - 14*r^2*s*t^2 + 2*r*s^2*t^2 + 2*r^2*t^3 - 2*r*s*t^3 + 24*s*t^4 - 4*r^2*t^2 + 8*r*s*t^2 - 6*r*t^3 + 4*s*t^3 + 6*t^4 + 6*r*t^2) * k2^2*k3 +  (-24) * (r^12*s^6*t^2 - 3*r^12*s^6*t + 11*r^11*s^6*t^2 - 25*r^10*s^6*t^3 + 9*r^9*s^6*t^4 + 17*r^12*s^6 + 2*r^12*s^5*t - 74*r^11*s^6*t + 154*r^10*s^6*t^2 - 212*r^9*s^6*t^3 + 251*r^8*s^6*t^4 - 130*r^7*s^6*t^5 + 22*r^6*s^6*t^6 + 3*r^12*s^5 + r^11*s^5*t - 66*r^10*s^6*t - 51*r^10*s^5*t^2 + 241*r^9*s^6*t^2 + 28*r^9*s^5*t^3 - 346*r^8*s^6*t^3 + 278*r^7*s^6*t^4 - 357*r^6*s^6*t^5 + 268*r^5*s^6*t^6 - 83*r^4*s^6*t^7 + 9*r^3*s^6*t^8 + r^12*s^4 + 68*r^10*s^5*t + 10*r^9*s^6*t - 231*r^9*s^5*t^2 + 95*r^8*s^6*t^2 + 563*r^8*s^5*t^3 - 460*r^7*s^6*t^3 - 414*r^7*s^5*t^4 + 707*r^6*s^6*t^4 + 88*r^6*s^5*t^5 - 388*r^5*s^6*t^5 + 218*r^4*s^6*t^6 - 172*r^3*s^6*t^7 + 73*r^2*s^6*t^8 - 14*r*s^6*t^9 + s^6*t^10 - 51*r^10*s^5 - 29*r^10*s^4*t + 123*r^9*s^5*t + 30*r^9*s^4*t^2 - 237*r^8*s^5*t^2 - 66*r^7*s^6*t^2 + 274*r^7*s^5*t^3 + 241*r^6*s^6*t^3 - 907*r^6*s^5*t^4 - 346*r^5*s^6*t^4 + 955*r^5*s^5*t^5 + 278*r^4*s^6*t^5 - 360*r^4*s^5*t^6 - 357*r^3*s^6*t^6 + 46*r^3*s^5*t^7 + 268*r^2*s^6*t^7 - 83*r*s^6*t^8 + 9*s^6*t^9 - 9*r^10*s^4 + 17*r^9*s^5 - 30*r^9*s^4*t + 114*r^8*s^5*t + 368*r^8*s^4*t^2 - 494*r^7*s^5*t^2 + 17*r^6*s^6*t^2 - 463*r^7*s^4*t^3 + 986*r^6*s^5*t^3 - 74*r^5*s^6*t^3 + 134*r^6*s^4*t^4 - 629*r^5*s^5*t^4 + 154*r^4*s^6*t^4 + 671*r^4*s^5*t^5 - 212*r^3*s^6*t^5 - 771*r^3*s^5*t^6 + 251*r^2*s^6*t^6 + 381*r^2*s^5*t^7 - 130*r*s^6*t^7 - 81*r*s^5*t^8 + 22*s^6*t^8 + 6*s^5*t^9 - 3*r^10*s^3 + 20*r^9*s^4 + 12*r^9*s^3*t - 19*r^8*s^4*t - 51*r^7*s^5*t - 73*r^7*s^4*t^2 + 123*r^6*s^5*t^2 - 670*r^6*s^4*t^3 - 237*r^5*s^5*t^3 + 1229*r^5*s^4*t^4 + 274*r^4*s^5*t^4 - 3*r^3*s^6*t^4 - 607*r^4*s^4*t^5 - 907*r^3*s^5*t^5 + 11*r^2*s^6*t^5 + 95*r^3*s^4*t^6 + 955*r^2*s^5*t^6 - 25*r*s^6*t^6 - 360*r*s^5*t^7 + 9*s^6*t^7 + 46*s^5*t^8 + 4*r^9*s^3 + 56*r^8*s^3*t - 107*r^7*s^4*t - 204*r^7*s^3*t^2 + 391*r^6*s^4*t^2 + 94*r^6*s^3*t^3 - 138*r^5*s^4*t^3 + 68*r^4*s^5*t^3 + 478*r^4*s^4*t^4 - 231*r^3*s^5*t^4 - 1150*r^3*s^4*t^5 + 563*r^2*s^5*t^5 + 744*r^2*s^4*t^6 - 414*r*s^5*t^6 + s^6*t^6 - 187*r*s^4*t^7 + 88*s^5*t^7 + 15*s^4*t^8 + r^9*s^2 - 48*r^7*s^3*t + 20*r^6*s^4*t - 107*r^6*s^3*t^2 - 19*r^5*s^4*t^2 + 665*r^5*s^3*t^3 - 73*r^4*s^4*t^3 + 3*r^3*s^5*t^3 - 491*r^4*s^3*t^4 - 670*r^3*s^4*t^4 + r^2*s^5*t^4 + 100*r^3*s^3*t^5 + 1229*r^2*s^4*t^5 - 51*r*s^5*t^5 - 607*r*s^4*t^6 + 28*s^5*t^6 + 95*s^4*t^7 - 25*r^7*s^2*t + 31*r^6*s^3*t + 28*r^6*s^2*t^2 + 51*r^5*s^3*t^2 - 9*r^4*s^4*t^2 - 51*r^4*s^3*t^3 - 30*r^3*s^4*t^3 - 665*r^3*s^3*t^4 + 368*r^2*s^4*t^4 + 676*r^2*s^3*t^5 - 463*r*s^4*t^5 + 2*s^5*t^5 - 218*r*s^3*t^6 + 134*s^4*t^6 + 20*s^3*t^7 + 13*r^6*s^2*t + 123*r^5*s^2*t^2 - 48*r^4*s^3*t^2 - 186*r^4*s^2*t^3 - 107*r^3*s^3*t^3 + 55*r^3*s^2*t^4 + 665*r^2*s^3*t^4 - 29*r*s^4*t^4 - 491*r*s^3*t^5 + 30*s^4*t^5 + 100*s^3*t^6 + 2*r^6*s*t - 76*r^4*s^2*t^2 + 4*r^3*s^3*t^2 - 104*r^3*s^2*t^3 + 56*r^2*s^3*t^3 + 279*r^2*s^2*t^4 - 204*r*s^3*t^4 + s^4*t^4 - 132*r*s^2*t^5 + 94*s^3*t^5 + 15*s^2*t^6 - 25*r^4*s*t^2 + 13*r^3*s^2*t^2 + 14*r^3*s*t^3 + 123*r^2*s^2*t^3 - 3*r*s^3*t^3 - 186*r*s^2*t^4 + 12*s^3*t^4 + 55*s^2*t^5 + 10*r^3*s*t^2 + 39*r^2*s*t^3 - 25*r*s^2*t^3 - 37*r*s*t^4 + 28*s^2*t^4 + 6*s*t^5 + r^3*t^2 - 25*r*s*t^3 + s^2*t^3 + 14*s*t^4 - 3*r*t^3 + 2*s*t^3 + t^4 + t^3) * k0*k2*k3+  (12) * (r^12*s^6*t^2 + 2*r^12*s^6*t - 8*r^11*s^6*t^2 - 2*r^10*s^6*t^3 - 9*r^12*s^6 + 2*r^12*s^5*t + 44*r^11*s^6*t - 106*r^10*s^6*t^2 + 174*r^9*s^6*t^3 - 113*r^8*s^6*t^4 + 46*r^7*s^6*t^5 - 8*r^6*s^6*t^6 - 2*r^12*s^5 - 4*r^11*s^5*t + 18*r^10*s^6*t - 15*r^10*s^5*t^2 - 48*r^9*s^6*t^2 + 3*r^9*s^5*t^3 + 34*r^8*s^6*t^3 - 86*r^7*s^6*t^4 + 34*r^6*s^6*t^5 - 10*r^5*s^6*t^6 + 2*r^4*s^6*t^7 + r^12*s^4 - 50*r^10*s^5*t + 6*r^9*s^6*t + 215*r^9*s^5*t^2 - 83*r^8*s^6*t^2 - 152*r^8*s^5*t^3 + 238*r^7*s^6*t^3 + 75*r^7*s^5*t^4 - 221*r^6*s^6*t^4 - 20*r^6*s^5*t^5 + 148*r^5*s^6*t^5 + 28*r^4*s^6*t^6 - 78*r^3*s^6*t^7 + 41*r^2*s^6*t^8 - 10*r*s^6*t^9 + s^6*t^10 + 27*r^10*s^5 - 16*r^10*s^4*t - 25*r^9*s^5*t + 7*r^9*s^4*t^2 - 12*r^8*s^5*t^2 + 18*r^7*s^6*t^2 - 205*r^7*s^5*t^3 - 48*r^6*s^6*t^3 - 7*r^6*s^5*t^4 + 34*r^5*s^6*t^4 + 116*r^5*s^5*t^5 - 86*r^4*s^6*t^5 - 39*r^4*s^5*t^6 + 34*r^3*s^6*t^6 + 3*r^3*s^5*t^7 - 10*r^2*s^6*t^7 + 2*r*s^6*t^8 + 6*r^10*s^4 - 9*r^9*s^5 + 36*r^9*s^4*t - 84*r^8*s^5*t - 17*r^8*s^4*t^2 + 287*r^7*s^5*t^2 - 9*r^6*s^6*t^2 - 5*r^7*s^4*t^3 - 358*r^6*s^5*t^3 + 44*r^5*s^6*t^3 - 10*r^6*s^4*t^4 + 620*r^5*s^5*t^4 - 106*r^4*s^6*t^4 - 140*r^4*s^5*t^5 + 174*r^3*s^6*t^5 - 301*r^3*s^5*t^6 - 113*r^2*s^6*t^6 + 216*r^2*s^5*t^7 + 46*r*s^6*t^7 - 57*r*s^5*t^8 - 8*s^6*t^8 + 6*s^5*t^9 - 3*r^10*s^3 - 11*r^9*s^4 + 5*r^9*s^3*t - 8*r^8*s^4*t + 27*r^7*s^5*t - 62*r^7*s^4*t^2 - 25*r^6*s^5*t^2 - 95*r^6*s^4*t^3 - 12*r^5*s^5*t^3 + 334*r^5*s^4*t^4 - 205*r^4*s^5*t^4 + 2*r^3*s^6*t^4 - 146*r^4*s^4*t^5 - 7*r^3*s^5*t^5 - 8*r^2*s^6*t^5 + 13*r^3*s^4*t^6 + 116*r^2*s^5*t^6 - 2*r*s^6*t^6 - 39*r*s^5*t^7 + 3*s^5*t^8 - r^9*s^3 + 22*r^8*s^3*t + 65*r^7*s^4*t - 51*r^7*s^3*t^2 - 177*r^6*s^4*t^2 + 10*r^6*s^3*t^3 + 492*r^5*s^4*t^3 - 50*r^4*s^5*t^3 - 316*r^4*s^4*t^4 + 215*r^3*s^5*t^4 - 440*r^3*s^4*t^5 - 152*r^2*s^5*t^5 + 438*r^2*s^4*t^6 + 75*r*s^5*t^6 + s^6*t^6 - 131*r*s^4*t^7 - 20*s^5*t^7 + 15*s^4*t^8 + r^9*s^2 - 3*r^7*s^3*t - 11*r^6*s^4*t - 53*r^6*s^3*t^2 - 8*r^5*s^4*t^2 + 280*r^5*s^3*t^3 - 62*r^4*s^4*t^3 - 2*r^3*s^5*t^3 - 184*r^4*s^3*t^4 - 95*r^3*s^4*t^4 - 4*r^2*s^5*t^4 + 22*r^3*s^3*t^5 + 334*r^2*s^4*t^5 - 15*r*s^5*t^5 - 146*r*s^4*t^6 + 3*s^5*t^6 + 13*s^4*t^7 - 17*r^7*s^2*t - 12*r^6*s^3*t + 10*r^6*s^2*t^2 + 96*r^5*s^3*t^2 + 6*r^4*s^4*t^2 - 180*r^4*s^3*t^3 + 36*r^3*s^4*t^3 - 286*r^3*s^3*t^4 - 17*r^2*s^4*t^4 + 428*r^2*s^3*t^5 - 5*r*s^4*t^5 + 2*s^5*t^5 - 154*r*s^3*t^6 - 10*s^4*t^6 + 20*s^3*t^7 + r^6*s^2*t + 72*r^5*s^2*t^2 - 3*r^4*s^3*t^2 - 96*r^4*s^2*t^3 - 53*r^3*s^3*t^3 + 18*r^3*s^2*t^4 + 280*r^2*s^3*t^4 - 16*r*s^4*t^4 - 184*r*s^3*t^5 + 7*s^4*t^5 + 22*s^3*t^6 + 2*r^6*s*t - 32*r^4*s^2*t^2 - r^3*s^3*t^2 - 66*r^3*s^2*t^3 + 22*r^2*s^3*t^3 + 201*r^2*s^2*t^4 - 51*r*s^3*t^4 + s^4*t^4 - 96*r*s^2*t^5 + 10*s^3*t^5 + 15*s^2*t^6 - 17*r^4*s*t^2 + r^3*s^2*t^2 + 7*r^3*s*t^3 + 72*r^2*s^2*t^3 - 3*r*s^3*t^3 - 96*r*s^2*t^4 + 5*s^3*t^4 + 18*s^2*t^5 + 3*r^3*s*t^2 + 36*r^2*s*t^3 - 17*r*s^2*t^3 - 29*r*s*t^4 + 10*s^2*t^4 + 6*s*t^5 + r^3*t^2 - 17*r*s*t^3 + s^2*t^3 + 7*s*t^4 - 3*r*t^3 + 2*s*t^3 + t^4 + t^3) * k1^2*k3+  (24) * s * (2*r^13*s^5*t - 5*r^12*s^5*t^2 + 3*r^11*s^5*t^3 - 11*r^13*s^5 + 41*r^12*s^5*t - 72*r^11*s^5*t^2 + 78*r^10*s^5*t^3 - 42*r^9*s^5*t^4 + 6*r^8*s^5*t^5 - 2*r^13*s^4 - 5*r^12*s^4*t + 42*r^11*s^5*t + 6*r^11*s^4*t^2 - 134*r^10*s^5*t^2 + 164*r^9*s^5*t^3 - 111*r^8*s^5*t^4 + 29*r^7*s^5*t^5 + 16*r^6*s^5*t^6 - 6*r^5*s^5*t^7 - 27*r^11*s^4*t + 2*r^10*s^5*t + 115*r^10*s^4*t^2 - 95*r^9*s^5*t^2 - 100*r^9*s^4*t^3 + 303*r^8*s^5*t^3 + 18*r^8*s^4*t^4 - 363*r^7*s^5*t^4 + 219*r^6*s^5*t^5 - 48*r^5*s^5*t^6 - 36*r^4*s^5*t^7 + 21*r^3*s^5*t^8 - 3*r^2*s^5*t^9 + 33*r^11*s^4 + 3*r^11*s^3*t - 72*r^10*s^4*t + 115*r^9*s^4*t^2 + 18*r^8*s^5*t^2 - 240*r^8*s^4*t^3 - 33*r^7*s^5*t^3 + 137*r^7*s^4*t^4 + 24*r^6*s^5*t^4 + 36*r^6*s^4*t^5 - 102*r^5*s^5*t^5 - 24*r^5*s^4*t^6 + 164*r^4*s^5*t^6 - 104*r^3*s^5*t^7 + 42*r^2*s^5*t^8 - 10*r*s^5*t^9 + s^5*t^10 + 6*r^11*s^3 - 11*r^10*s^4 + 13*r^10*s^3*t - 97*r^9*s^4*t - 63*r^9*s^3*t^2 + 342*r^8*s^4*t^2 - 11*r^7*s^5*t^2 + 18*r^8*s^3*t^3 - 530*r^7*s^4*t^3 + 65*r^6*s^5*t^3 + 613*r^6*s^4*t^4 - 195*r^5*s^5*t^4 - 306*r^5*s^4*t^5 + 339*r^4*s^5*t^5 - 53*r^4*s^4*t^6 - 303*r^3*s^5*t^6 + 77*r^3*s^4*t^7 + 135*r^2*s^5*t^7 - 15*r^2*s^4*t^8 - 34*r*s^5*t^8 + 4*s^5*t^9 - 13*r^10*s^3 + 15*r^9*s^3*t + 33*r^8*s^4*t - 54*r^8*s^3*t^2 + 128*r^7*s^3*t^3 - 67*r^6*s^4*t^3 + 23*r^6*s^3*t^4 - 102*r^5*s^4*t^4 + r^4*s^5*t^4 - 36*r^5*s^3*t^5 + 264*r^4*s^4*t^5 - r^3*s^5*t^5 - 241*r^3*s^4*t^6 - 12*r^2*s^5*t^6 + 132*r^2*s^4*t^7 + 16*r*s^5*t^7 - 39*r*s^4*t^8 - 4*s^5*t^8 + 5*s^4*t^9 - 2*r^10*s^2 - 5*r^9*s^2*t + 78*r^8*s^3*t + 6*r^8*s^2*t^2 - 232*r^7*s^3*t^2 + 389*r^6*s^3*t^3 - 117*r^5*s^4*t^3 - 366*r^5*s^3*t^4 + 407*r^4*s^4*t^4 - 534*r^3*s^4*t^5 + 109*r^3*s^3*t^6 + 348*r^2*s^4*t^6 + r*s^5*t^6 - 30*r^2*s^3*t^7 - 112*r*s^4*t^7 - s^5*t^7 + 14*s^4*t^8 + 9*r^8*s^2*t - 12*r^7*s^3*t + 16*r^7*s^2*t^2 - 36*r^6*s^3*t^2 + 2*r^6*s^2*t^3 + 42*r^5*s^3*t^3 - r^4*s^4*t^3 - 24*r^5*s^2*t^4 + 54*r^4*s^3*t^4 + 7*r^3*s^4*t^4 - 153*r^3*s^3*t^5 - 27*r^2*s^4*t^5 + 144*r^2*s^3*t^6 + 30*r*s^4*t^6 - 56*r*s^3*t^7 - 10*s^4*t^7 + 10*s^3*t^8 - 16*r^7*s^2*t + 61*r^6*s^2*t^2 + 3*r^5*s^3*t^2 - 105*r^5*s^2*t^3 + 91*r^4*s^3*t^3 + 13*r^4*s^2*t^4 - 231*r^3*s^3*t^4 + 75*r^3*s^2*t^5 + 282*r^2*s^3*t^5 + 2*r*s^4*t^5 - 30*r^2*s^2*t^6 - 131*r*s^3*t^6 - 2*s^4*t^6 + 16*s^3*t^7 - 4*r^7*s*t - r^6*s*t^2 + 9*r^5*s^2*t^2 - 6*r^5*s*t^3 - 48*r^4*s^2*t^3 + r^3*s^2*t^4 - 18*r^2*s^3*t^4 + 60*r^2*s^2*t^5 + 13*r*s^3*t^5 - 34*r*s^2*t^6 - 6*s^3*t^6 + 10*s^2*t^7 + 3*r^5*s*t^2 - 6*r^4*s*t^3 + 26*r^3*s*t^4 + 60*r^2*s^2*t^4 + r*s^3*t^4 - 15*r^2*s*t^5 - 61*r*s^2*t^5 - s^3*t^5 + 4*s^2*t^6 - 2*r^4*s*t^2 + 17*r^3*s*t^3 - 3*r^2*s^2*t^3 + 6*r^2*s*t^4 - 6*r*s*t^5 + 2*s^2*t^5 + 5*s*t^6 - 2*r^4*t^2 + 4*r^3*t^3 - 9*r^2*s*t^3 - 3*r^2*t^4 - 7*r*s*t^4 - 4*s*t^5 + r*s*t^3 + r*t^4 + 2*s*t^4 + t^5 + r*t^3 - 2*t^4) * k0*k1*k3+  (-12) * s * (-2*r^14*s^5*t + 2*r^13*s^5*t^2 + 17*r^14*s^5 - 50*r^13*s^5*t + 69*r^12*s^5*t^2 - 42*r^11*s^5*t^3 + 6*r^10*s^5*t^4 + 2*r^14*s^4 + 6*r^13*s^4*t - 90*r^12*s^5*t + 260*r^11*s^5*t^2 - 326*r^10*s^5*t^3 + 192*r^9*s^5*t^4 - 38*r^8*s^5*t^5 + 2*r^7*s^5*t^6 + 26*r^12*s^4*t + 10*r^11*s^5*t - 98*r^11*s^4*t^2 + 143*r^10*s^5*t^2 + 30*r^10*s^4*t^3 - 444*r^9*s^5*t^3 + 567*r^8*s^5*t^4 - 378*r^7*s^5*t^5 + 132*r^6*s^5*t^6 - 36*r^5*s^5*t^7 + 6*r^4*s^5*t^8 - 51*r^12*s^4 + 159*r^11*s^4*t - 339*r^10*s^4*t^2 - 42*r^9*s^5*t^2 + 501*r^9*s^4*t^3 + 30*r^8*s^5*t^3 - 218*r^8*s^4*t^4 - 30*r^7*s^5*t^4 + 32*r^7*s^4*t^5 + 150*r^6*s^5*t^5 - 218*r^5*s^5*t^6 + 134*r^4*s^5*t^7 - 18*r^3*s^5*t^8 - 8*r^2*s^5*t^9 + 2*r*s^5*t^10 - 6*r^12*s^3 + 17*r^11*s^4 - 6*r^11*s^3*t + 130*r^10*s^4*t + 24*r^10*s^3*t^2 - 494*r^9*s^4*t^2 + 17*r^8*s^5*t^2 + 896*r^8*s^4*t^3 - 98*r^7*s^5*t^3 - 1037*r^7*s^4*t^4 + 375*r^6*s^5*t^4 + 602*r^6*s^4*t^5 - 666*r^5*s^5*t^5 - 226*r^5*s^4*t^6 + 639*r^4*s^5*t^6 + 42*r^4*s^4*t^7 - 372*r^3*s^5*t^7 + 130*r^2*s^5*t^8 - 28*r*s^5*t^9 + 3*s^5*t^10 + 19*r^11*s^3 - 74*r^10*s^3*t - 51*r^9*s^4*t + 193*r^9*s^3*t^2 - 9*r^8*s^4*t^2 - 216*r^8*s^3*t^3 + 129*r^7*s^4*t^3 + 62*r^7*s^3*t^4 - 10*r^6*s^4*t^4 - 4*r^5*s^5*t^4 - 309*r^5*s^4*t^5 - 20*r^4*s^5*t^5 + 303*r^4*s^4*t^6 + 42*r^3*s^5*t^6 - 9*r^3*s^4*t^7 - 22*r^2*s^5*t^7 - 58*r^2*s^4*t^8 + 4*r*s^5*t^8 + 14*r*s^4*t^9 + 2*r^11*s^2 - 115*r^9*s^3*t + 398*r^8*s^3*t^2 - 687*r^7*s^3*t^3 + 230*r^6*s^4*t^3 + 628*r^6*s^3*t^4 - 779*r^5*s^4*t^4 - 358*r^5*s^3*t^5 + 1226*r^4*s^4*t^5 + 90*r^4*s^3*t^6 - 946*r^3*s^4*t^6 + 5*r^2*s^5*t^6 + 406*r^2*s^4*t^7 - 8*r*s^5*t^7 - 109*r*s^4*t^8 + 3*s^5*t^8 + 14*s^4*t^9 - 4*r^9*s^2*t + 21*r^8*s^3*t - 28*r^8*s^2*t^2 + 92*r^7*s^3*t^2 + 36*r^7*s^2*t^3 - 245*r^6*s^3*t^3 + 4*r^5*s^4*t^3 + 103*r^5*s^3*t^4 - 44*r^4*s^4*t^4 + 172*r^4*s^3*t^5 + 65*r^3*s^4*t^5 + 49*r^3*s^3*t^6 - 63*r^2*s^4*t^6 - 132*r^2*s^3*t^7 + 3*r*s^4*t^7 + 36*r*s^3*t^8 + 7*s^4*t^8 + 32*r^8*s^2*t - 112*r^7*s^2*t^2 - 12*r^6*s^3*t^2 + 144*r^6*s^2*t^3 - 178*r^5*s^3*t^3 - 176*r^5*s^2*t^4 + 639*r^4*s^3*t^4 + 78*r^4*s^2*t^5 - 837*r^3*s^3*t^5 + 6*r^2*s^4*t^5 + 489*r^2*s^3*t^6 - 8*r*s^4*t^6 - 171*r*s^3*t^7 + 8*s^4*t^7 + 26*s^3*t^8 + 8*r^8*s*t + 4*r^7*s*t^2 - 63*r^6*s^2*t^2 + 183*r^5*s^2*t^3 - 29*r^4*s^2*t^4 + 4*r^3*s^3*t^4 + 49*r^3*s^2*t^5 - 19*r^2*s^3*t^5 - 128*r^2*s^2*t^6 - 30*r*s^3*t^6 + 44*r*s^2*t^7 + 29*s^3*t^7 - 14*r^6*s*t^2 + 9*r^5*s^2*t^2 - 2*r^5*s*t^3 + 64*r^4*s^2*t^3 + 24*r^4*s*t^4 - 272*r^3*s^2*t^4 + 5*r^2*s^3*t^4 + 280*r^2*s^2*t^5 - 139*r*s^2*t^6 + 7*s^3*t^6 + 24*s^2*t^7 + 13*r^5*s*t^2 - 32*r^4*s*t^3 - 15*r^3*s^2*t^3 + 5*r^3*s*t^4 + 27*r^2*s^2*t^4 - 52*r^2*s*t^5 - 53*r*s^2*t^5 + 26*r*s*t^6 + 45*s^2*t^6 + 6*r^5*t^2 - 9*r^3*s*t^3 + 67*r^2*s*t^4 - 61*r*s*t^5 + 2*s^2*t^5 + 11*s*t^6 - 4*r^3*t^3 + 5*r^2*s*t^3 - 6*r^2*t^4 - 24*r*s*t^4 + 6*r*t^5 + 31*s*t^5 - 12*r*t^4 + 2*t^5 + 8*t^4) * k0^2*k3+  (-16) * s * (-9*r^12*s^7*t^3 + 18*r^11*s^7*t^4 - 9*r^10*s^7*t^5 + 4*r^12*s^6*t^3 + 135*r^11*s^7*t^3 - 432*r^10*s^7*t^4 + 585*r^9*s^7*t^5 - 441*r^8*s^7*t^6 + 180*r^7*s^7*t^7 - 27*r^6*s^7*t^8 - 54*r^12*s^7*t - 5*r^12*s^6*t^2 + 324*r^11*s^7*t^2 + 6*r^11*s^6*t^3 - 1485*r^10*s^7*t^3 - 48*r^10*s^6*t^4 + 3573*r^9*s^7*t^4 + 13*r^9*s^6*t^5 - 4743*r^8*s^7*t^5 + 3681*r^7*s^7*t^6 - 1584*r^6*s^7*t^7 + 306*r^5*s^7*t^8 - 18*r^4*s^7*t^9 + 63*r^12*s^7 - 44*r^12*s^6*t - 477*r^11*s^7*t + 8*r^12*s^5*t^2 + 396*r^11*s^6*t^2 + 2034*r^10*s^7*t^2 - 1092*r^10*s^6*t^3 - 4266*r^9*s^7*t^3 + 1691*r^9*s^6*t^4 + 5049*r^8*s^7*t^4 - 1299*r^8*s^6*t^5 - 3861*r^7*s^7*t^5 + 576*r^7*s^6*t^6 + 2322*r^6*s^7*t^6 - 96*r^6*s^6*t^7 - 1404*r^5*s^7*t^7 + 621*r^4*s^7*t^8 - 45*r^3*s^7*t^9 - 45*r^2*s^7*t^10 + 9*r*s^7*t^11 + 54*r^12*s^6 + 5*r^12*s^5*t - 132*r^11*s^6*t - 108*r^10*s^7*t - 18*r^11*s^5*t^2 - 1116*r^10*s^6*t^2 + 90*r^9*s^7*t^2 - 66*r^10*s^5*t^3 + 4985*r^9*s^6*t^3 - 423*r^8*s^7*t^3 + 41*r^9*s^5*t^4 - 9819*r^8*s^6*t^4 + 2439*r^7*s^7*t^4 + 10338*r^7*s^6*t^5 - 5193*r^6*s^7*t^5 - 6174*r^6*s^6*t^6 + 5553*r^5*s^7*t^6 + 1761*r^5*s^6*t^7 - 3060*r^4*s^7*t^7 - 222*r^4*s^6*t^8 + 828*r^3*s^7*t^8 + 13*r^3*s^6*t^9 - 144*r^2*s^7*t^9 + 18*r*s^7*t^10 + 4*r^12*s^4*t + 177*r^11*s^5*t + 771*r^10*s^6*t + 18*r^9*s^7*t - 801*r^10*s^5*t^2 - 3494*r^9*s^6*t^2 + 558*r^8*s^7*t^2 + 1596*r^9*s^5*t^3 + 7986*r^8*s^6*t^3 - 2115*r^7*s^7*t^3 - 1305*r^8*s^5*t^4 - 9663*r^7*s^6*t^4 + 3150*r^6*s^7*t^4 + 567*r^7*s^5*t^5 + 7758*r^6*s^6*t^5 - 2061*r^5*s^7*t^5 - 86*r^6*s^5*t^6 - 5307*r^5*s^6*t^6 + 207*r^4*s^7*t^6 + 3315*r^4*s^6*t^7 + 252*r^3*s^7*t^7 - 869*r^3*s^6*t^8 + 9*r^2*s^7*t^8 - 9*r^2*s^6*t^9 - 18*r*s^7*t^9 + 12*r*s^6*t^10 + 4*s^6*t^11 + 9*r^12*s^4 - 189*r^10*s^6 - 6*r^11*s^4*t - 183*r^10*s^5*t + 135*r^9*s^6*t - 24*r^10*s^4*t^2 + 1933*r^9*s^5*t^2 + 906*r^8*s^6*t^2 - 324*r^7*s^7*t^2 + 45*r^9*s^4*t^3 - 6750*r^8*s^5*t^3 - 1554*r^7*s^6*t^3 + 1269*r^6*s^7*t^3 + 10692*r^7*s^5*t^4 - 2874*r^6*s^6*t^4 - 2133*r^5*s^7*t^4 - 9451*r^6*s^5*t^5 + 7878*r^5*s^6*t^5 + 1755*r^4*s^7*t^5 + 3987*r^5*s^5*t^6 - 5889*r^4*s^6*t^6 - 549*r^3*s^7*t^6 - 789*r^4*s^5*t^7 + 535*r^3*s^6*t^7 - 36*r^2*s^7*t^7 + 67*r^3*s^5*t^8 + 681*r^2*s^6*t^8 + 18*r*s^7*t^8 - 255*r*s^6*t^9 + 38*s^6*t^10 - 162*r^10*s^5 + 63*r^9*s^6 - 168*r^10*s^4*t - 82*r^9*s^5*t + 444*r^8*s^6*t + 556*r^9*s^4*t^2 + 2577*r^8*s^5*t^2 - 2748*r^7*s^6*t^2 + 63*r^6*s^7*t^2 - 495*r^8*s^4*t^3 - 6378*r^7*s^5*t^3 + 6579*r^6*s^6*t^3 - 261*r^5*s^7*t^3 + 45*r^7*s^4*t^4 + 8541*r^6*s^5*t^4 - 8112*r^5*s^6*t^4 + 495*r^4*s^7*t^4 + 80*r^6*s^4*t^5 - 7806*r^5*s^5*t^5 + 6795*r^4*s^6*t^5 - 477*r^3*s^7*t^5 + 6942*r^4*s^5*t^6 - 4688*r^3*s^6*t^6 + 198*r^2*s^7*t^6 - 3163*r^3*s^5*t^7 + 3069*r^2*s^6*t^7 - 18*r*s^7*t^7 + 570*r^2*s^5*t^8 - 1014*r*s^6*t^8 - 87*r*s^5*t^9 + 116*s^6*t^9 + 24*s^5*t^10 + 117*r^9*s^5 + 3*r^10*s^3*t + 360*r^9*s^4*t + 315*r^8*s^5*t - 189*r^7*s^6*t + 19*r^9*s^3*t^2 - 1914*r^8*s^4*t^2 - 3141*r^7*s^5*t^2 + 855*r^6*s^6*t^2 + 5040*r^7*s^4*t^3 + 5102*r^6*s^5*t^3 - 2214*r^5*s^6*t^3 - 7133*r^6*s^4*t^4 - 2166*r^5*s^5*t^4 + 3735*r^4*s^6*t^4 - 9*r^3*s^7*t^4 + 4557*r^5*s^4*t^5 - 150*r^4*s^5*t^5 - 4310*r^3*s^6*t^5 + 18*r^2*s^7*t^5 - 1308*r^4*s^4*t^6 - 3677*r^3*s^5*t^6 + 2643*r^2*s^6*t^6 - 9*r*s^7*t^6 + 140*r^3*s^4*t^7 + 3726*r^2*s^5*t^7 - 984*r*s^6*t^7 - 1320*r*s^5*t^8 + 152*s^6*t^8 + 196*s^5*t^9 - 27*r^10*s^3 + 54*r^9*s^4 + 75*r^9*s^3*t - 315*r^8*s^4*t - 513*r^7*s^5*t - 66*r^8*s^3*t^2 - 972*r^7*s^4*t^2 + 3157*r^6*s^5*t^2 - 207*r^7*s^3*t^3 + 3302*r^6*s^4*t^3 - 6702*r^5*s^5*t^3 + 123*r^4*s^6*t^3 + 205*r^6*s^3*t^4 - 5211*r^5*s^4*t^4 + 8577*r^4*s^5*t^4 - 608*r^3*s^6*t^4 + 7134*r^4*s^4*t^5 - 8949*r^3*s^5*t^5 + 1104*r^2*s^6*t^5 - 4946*r^3*s^4*t^6 + 7566*r^2*s^5*t^6 - 603*r*s^6*t^6 + 1488*r^2*s^4*t^7 - 3240*r*s^5*t^7 + 116*s^6*t^7 - 300*r*s^4*t^8 + 492*s^5*t^8 + 60*s^4*t^9 + 9*r^9*s^3 + 2*r^9*s^2*t - 204*r^8*s^3*t - 288*r^7*s^4*t + 72*r^6*s^5*t + 1041*r^7*s^3*t^2 + 2940*r^6*s^4*t^2 - 522*r^5*s^5*t^2 - 2685*r^6*s^3*t^3 - 5040*r^5*s^4*t^3 + 1317*r^4*s^5*t^3 + 9*r^3*s^6*t^3 + 2769*r^5*s^3*t^4 + 4998*r^4*s^4*t^4 - 2707*r^3*s^5*t^4 + 18*r^2*s^6*t^4 - 1152*r^4*s^3*t^5 - 6451*r^3*s^4*t^5 + 3840*r^2*s^5*t^5 - 99*r*s^6*t^5 + 150*r^3*s^3*t^6 + 5781*r^2*s^4*t^6 - 2358*r*s^5*t^6 + 38*s^6*t^6 - 2364*r*s^4*t^7 + 500*s^5*t^7 + 406*s^4*t^8 + 9*r^9*s^2 - 18*r^8*s^2*t + 72*r^7*s^3*t + 163*r^6*s^4*t - 81*r^7*s^2*t^2 + 176*r^6*s^3*t^2 - 1413*r^5*s^4*t^2 - 27*r^4*s^5*t^2 + 148*r^6*s^2*t^3 - 1158*r^5*s^3*t^3 + 2742*r^4*s^4*t^3 + 47*r^3*s^5*t^3 + 3531*r^4*s^3*t^4 - 4462*r^3*s^4*t^4 + 243*r^2*s^5*t^4 - 3873*r^3*s^3*t^5 + 5898*r^2*s^4*t^5 - 699*r*s^5*t^5 + 4*s^6*t^5 + 1647*r^2*s^3*t^6 - 3738*r*s^4*t^6 + 260*s^5*t^6 - 405*r*s^3*t^7 + 792*s^4*t^7 + 80*s^3*t^8 + 36*r^7*s^2*t + 106*r^6*s^3*t - 409*r^6*s^2*t^2 - 843*r^5*s^3*t^2 + 33*r^4*s^4*t^2 + 846*r^5*s^2*t^3 + 2238*r^4*s^3*t^3 - 77*r^3*s^4*t^3 - 546*r^4*s^2*t^4 - 3826*r^3*s^3*t^4 + 966*r^2*s^4*t^4 + 85*r^3*s^2*t^5 + 3975*r^2*s^3*t^5 - 1596*r*s^4*t^5 + 44*s^5*t^5 - 2004*r*s^3*t^6 + 572*s^4*t^6 + 424*s^3*t^7 + 15*r^6*s^2*t + 44*r^6*s*t^2 + 150*r^5*s^2*t^2 + 69*r^4*s^3*t^2 + 9*r^3*s^4*t^2 + 579*r^4*s^2*t^3 - 486*r^3*s^3*t^3 - 57*r^2*s^4*t^3 - 1483*r^3*s^2*t^4 + 1509*r^2*s^3*t^4 - 54*r*s^4*t^4 + 903*r^2*s^2*t^5 - 1752*r*s^3*t^5 + 156*s^4*t^5 - 276*r*s^2*t^6 + 588*s^3*t^6 + 60*s^2*t^7 + 4*r^6*s*t + 102*r^5*s*t^2 - 45*r^4*s^2*t^2 + 41*r^3*s^3*t^2 - 129*r^4*s*t^3 - 732*r^3*s^2*t^3 - 69*r^2*s^3*t^3 + 23*r^3*s*t^4 + 1242*r^2*s^2*t^4 - 252*r*s^3*t^4 + 2*s^4*t^4 - 825*r*s^2*t^5 + 260*s^3*t^5 + 226*s^2*t^6 + 4*r^6*t - 66*r^4*s*t^2 + 57*r^3*s^2*t^2 - 215*r^3*s*t^3 + 117*r^2*s^2*t^3 + 6*r*s^3*t^3 + 228*r^2*s*t^4 - 288*r*s^2*t^4 + 16*s^3*t^4 - 93*r*s*t^5 + 192*s^2*t^5 + 24*s*t^6 - 12*r^4*t^2 + 27*r^3*s*t^2 + 2*r^3*t^3 + 147*r^2*s*t^3 - 12*r*s^2*t^3 - 150*r*s*t^4 + 44*s^2*t^4 + 52*s*t^5 + 2*r^3*t^2 + 18*r^2*t^3 - 30*r*s*t^3 + 4*s^2*t^3 - 12*r*t^4 + 24*s*t^4 + 4*t^5 - 12*r*t^3 + 8*s*t^3 + 2*t^4 + 4*t^3) * k2^3+  (-48) * s * (5*r^13*s^7*t^3 - 11*r^12*s^7*t^4 + 6*r^11*s^7*t^5 - 9*r^13*s^7*t^2 + 33*r^12*s^7*t^3 - 96*r^11*s^7*t^4 + 156*r^10*s^7*t^5 - 102*r^9*s^7*t^6 + 18*r^8*s^7*t^7 - 33*r^13*s^7*t + 5*r^13*s^6*t^2 + 246*r^12*s^7*t^2 - 27*r^12*s^6*t^3 - 819*r^11*s^7*t^3 + 21*r^11*s^6*t^4 + 1669*r^10*s^7*t^4 - 2059*r^9*s^7*t^5 + 1422*r^8*s^7*t^6 - 547*r^7*s^7*t^7 + 139*r^6*s^7*t^8 - 18*r^5*s^7*t^9 + 37*r^13*s^7 - 38*r^13*s^6*t - 268*r^12*s^7*t + 160*r^12*s^6*t^2 + 957*r^11*s^7*t^2 - 240*r^11*s^6*t^3 - 1944*r^10*s^7*t^3 + 373*r^10*s^6*t^4 + 2217*r^9*s^7*t^4 - 319*r^9*s^6*t^5 - 1584*r^8*s^7*t^5 + 72*r^8*s^6*t^6 + 1103*r^7*s^7*t^6 - 776*r^6*s^7*t^7 + 396*r^5*s^7*t^8 - 186*r^4*s^7*t^9 + 54*r^3*s^7*t^10 - 6*r^2*s^7*t^11 + 33*r^13*s^6 - 5*r^13*s^5*t + 20*r^12*s^6*t - 48*r^11*s^7*t - 21*r^12*s^5*t^2 - 729*r^11*s^6*t^2 + 129*r^10*s^7*t^2 + 27*r^11*s^5*t^3 + 2355*r^10*s^6*t^3 - 396*r^9*s^7*t^3 - 4490*r^9*s^6*t^4 + 1521*r^8*s^7*t^4 + 4428*r^8*s^6*t^5 - 2890*r^7*s^7*t^5 - 2199*r^7*s^6*t^6 + 2692*r^6*s^7*t^6 + 644*r^6*s^6*t^7 - 1359*r^5*s^7*t^7 - 90*r^5*s^6*t^8 + 266*r^4*s^7*t^8 + 154*r^3*s^7*t^9 - 75*r^2*s^7*t^10 + 5*r*s^7*t^11 + s^7*t^12 - 9*r^13*s^5 + 103*r^12*s^5*t + 222*r^11*s^6*t - 10*r^10*s^7*t - 123*r^11*s^5*t^2 - 1339*r^10*s^6*t^2 + 340*r^9*s^7*t^2 + 258*r^10*s^5*t^3 + 3341*r^9*s^6*t^3 - 1233*r^8*s^7*t^3 - 341*r^9*s^5*t^4 - 3573*r^8*s^6*t^4 + 1726*r^7*s^7*t^4 + 108*r^8*s^5*t^5 + 3418*r^7*s^6*t^5 - 976*r^6*s^7*t^5 - 3414*r^6*s^6*t^6 - 117*r^5*s^7*t^6 + 2175*r^5*s^6*t^7 + 665*r^4*s^7*t^7 - 1052*r^4*s^6*t^8 - 482*r^3*s^7*t^8 + 317*r^3*s^6*t^9 + 90*r^2*s^7*t^9 - 39*r^2*s^6*t^10 - 5*r*s^7*t^10 + 2*s^7*t^11 - 5*r^13*s^4 - 111*r^11*s^6 - 5*r^12*s^4*t - 129*r^11*s^5*t + 158*r^10*s^6*t + 15*r^11*s^4*t^2 + 798*r^10*s^5*t^2 + 530*r^9*s^6*t^2 - 144*r^8*s^7*t^2 - 3382*r^9*s^5*t^3 - 849*r^8*s^6*t^3 + 571*r^7*s^7*t^3 + 5262*r^8*s^5*t^4 - 2097*r^7*s^6*t^4 - 907*r^6*s^7*t^4 - 3559*r^7*s^5*t^5 + 3648*r^6*s^6*t^5 + 711*r^5*s^7*t^5 + 1224*r^6*s^5*t^6 - 1863*r^5*s^6*t^6 - 198*r^4*s^7*t^6 - 180*r^5*s^5*t^7 + 5*r^4*s^6*t^7 - 225*r^3*s^7*t^7 + 879*r^3*s^6*t^8 + 231*r^2*s^7*t^8 - 408*r^2*s^6*t^9 - 37*r*s^7*t^9 + 31*r*s^6*t^10 - 2*s^7*t^10 + 7*s^6*t^11 - 99*r^11*s^5 + 37*r^10*s^6 + 36*r^11*s^4*t + 142*r^10*s^5*t + 281*r^9*s^6*t + 16*r^10*s^4*t^2 + 832*r^9*s^5*t^2 - 1776*r^8*s^6*t^2 + 37*r^7*s^7*t^2 - 129*r^9*s^4*t^3 - 1614*r^8*s^5*t^3 + 3522*r^7*s^6*t^3 - 172*r^6*s^7*t^3 + 72*r^8*s^4*t^4 + 3205*r^7*s^5*t^4 - 3242*r^6*s^6*t^4 + 387*r^5*s^7*t^4 - 5538*r^6*s^5*t^5 + 2751*r^5*s^6*t^5 - 536*r^4*s^7*t^5 + 4677*r^5*s^5*t^6 - 1451*r^4*s^6*t^6 + 461*r^3*s^7*t^6 - 2452*r^4*s^5*t^7 - 174*r^3*s^6*t^7 - 186*r^2*s^7*t^7 + 779*r^3*s^5*t^8 + 120*r^2*s^6*t^8 + 7*r*s^7*t^8 - 108*r^2*s^5*t^9 - 29*r*s^6*t^9 + 2*s^7*t^9 + 17*s^6*t^10 + 27*r^11*s^4 + 70*r^10*s^5 + 3*r^11*s^3*t + 52*r^10*s^4*t + 178*r^9*s^5*t - 111*r^8*s^6*t - 1075*r^9*s^4*t^2 - 1761*r^8*s^5*t^2 + 434*r^7*s^6*t^2 + 2988*r^8*s^4*t^3 + 2007*r^7*s^5*t^3 - 660*r^6*s^6*t^3 - 2960*r^7*s^4*t^4 - 1157*r^6*s^5*t^4 + 927*r^5*s^6*t^4 - 11*r^4*s^7*t^4 + 1236*r^6*s^4*t^5 + 1884*r^5*s^5*t^5 - 1881*r^4*s^6*t^5 + 38*r^3*s^7*t^5 - 180*r^5*s^4*t^6 - 1925*r^4*s^5*t^6 + 1282*r^3*s^6*t^6 - 54*r^2*s^7*t^6 + 1948*r^3*s^5*t^7 + 81*r^2*s^6*t^7 + 29*r*s^7*t^7 - 906*r^2*s^5*t^8 - 100*r*s^6*t^8 - 2*s^7*t^8 + 81*r*s^5*t^9 + 21*s^5*t^10 + 15*r^11*s^3 + 24*r^10*s^4 - 30*r^10*s^3*t - 231*r^9*s^4*t - 342*r^8*s^5*t - r^9*s^3*t^2 + 294*r^8*s^4*t^2 + 1719*r^7*s^5*t^2 + 18*r^8*s^3*t^3 + 627*r^7*s^4*t^3 - 2542*r^6*s^5*t^3 + 42*r^5*s^6*t^3 - 3906*r^6*s^4*t^4 + 3303*r^5*s^5*t^4 - 465*r^4*s^6*t^4 + 4950*r^5*s^4*t^5 - 4081*r^4*s^5*t^5 + 1199*r^3*s^6*t^5 - 3010*r^4*s^4*t^6 + 1574*r^3*s^5*t^6 - 936*r^2*s^6*t^6 + r*s^7*t^6 + 1030*r^3*s^4*t^7 - 228*r^2*s^5*t^7 + 170*r*s^6*t^7 - s^7*t^7 - 165*r^2*s^4*t^8 - 52*r*s^5*t^8 - 2*s^6*t^8 + 53*s^5*t^9 - 14*r^10*s^3 - 124*r^9*s^3*t - 174*r^8*s^4*t + 48*r^7*s^5*t + 792*r^8*s^3*t^2 + 1222*r^7*s^4*t^2 - 147*r^6*s^5*t^2 - 1311*r^7*s^3*t^3 - 2397*r^6*s^4*t^3 - 15*r^5*s^5*t^3 + 11*r^4*s^6*t^3 + 719*r^6*s^3*t^4 + 3921*r^5*s^4*t^4 - 896*r^4*s^5*t^4 + 16*r^3*s^6*t^4 - 90*r^5*s^3*t^5 - 3227*r^4*s^4*t^5 + 2206*r^3*s^5*t^5 - 114*r^2*s^6*t^5 + 2141*r^3*s^4*t^6 - 699*r^2*s^5*t^6 + 97*r*s^6*t^6 - 1044*r^2*s^4*t^7 - 61*r*s^5*t^7 - 11*s^6*t^7 + 115*r*s^4*t^8 + 18*s^5*t^8 + 35*s^4*t^9 - 5*r^10*s^2 + 4*r^9*s^2*t + 117*r^8*s^3*t + 98*r^7*s^4*t - 275*r^7*s^3*t^2 - 497*r^6*s^4*t^2 - 33*r^5*s^5*t^2 - 974*r^6*s^3*t^3 + 936*r^5*s^4*t^3 + 62*r^4*s^5*t^3 + 2598*r^5*s^3*t^4 - 2170*r^4*s^4*t^4 + 389*r^3*s^5*t^4 - 2050*r^4*s^3*t^5 + 1666*r^3*s^4*t^5 - 924*r^2*s^5*t^5 + 2*r*s^6*t^5 + 780*r^3*s^3*t^6 - 447*r^2*s^4*t^6 + 338*r*s^5*t^6 - 2*s^6*t^6 - 150*r^2*s^3*t^7 - 29*r*s^4*t^7 - 16*s^5*t^7 + 80*s^4*t^8 + 60*r^8*s^2*t + 45*r^7*s^3*t - 265*r^7*s^2*t^2 - 356*r^6*s^3*t^2 - 69*r^5*s^4*t^2 + 240*r^6*s^2*t^3 + 1557*r^5*s^3*t^3 + 88*r^4*s^4*t^3 - 18*r^5*s^2*t^4 - 1986*r^4*s^3*t^4 + 629*r^3*s^4*t^4 - 27*r^2*s^5*t^4 + 1215*r^3*s^3*t^5 - 666*r^2*s^4*t^5 + 72*r*s^5*t^5 - 651*r^2*s^3*t^6 + 38*r*s^4*t^6 - 14*s^5*t^6 + 95*r*s^3*t^7 + 32*s^4*t^7 + 35*s^3*t^8 - 12*r^7*s^2*t + 32*r^6*s^2*t^2 - 21*r^5*s^3*t^2 + 12*r^4*s^4*t^2 + 555*r^5*s^2*t^3 - 253*r^4*s^3*t^3 - 3*r^3*s^4*t^3 - 736*r^4*s^2*t^4 + 432*r^3*s^3*t^4 - 159*r^2*s^4*t^4 + r*s^5*t^4 + 329*r^3*s^2*t^5 - 183*r^2*s^3*t^5 + 185*r*s^4*t^5 - s^5*t^5 - 81*r^2*s^2*t^6 + 11*r*s^3*t^6 - 16*s^4*t^6 + 60*s^3*t^7 - 7*r^7*s*t + 38*r^6*s*t^2 + 24*r^5*s^2*t^2 + 31*r^4*s^3*t^2 - 420*r^4*s^2*t^3 + 2*r^3*s^3*t^3 - 3*r^2*s^4*t^3 + 328*r^3*s^2*t^4 - 126*r^2*s^3*t^4 + 5*r*s^4*t^4 - 204*r^2*s^2*t^5 + 47*r*s^3*t^5 - 3*s^4*t^5 + 45*r*s^2*t^6 + 18*s^3*t^6 + 21*s^2*t^7 + 9*r^5*s*t^2 + 24*r^4*s^2*t^2 - 112*r^4*s*t^3 + 32*r^3*s^2*t^3 - 9*r^2*s^3*t^3 + 67*r^3*s*t^4 + 3*r^2*s^2*t^4 + 13*r*s^3*t^4 - 24*r^2*s*t^5 + 17*r*s^2*t^5 - 2*s^3*t^5 + 17*s^2*t^6 + 3*r^4*s*t^2 + 31*r^3*s*t^3 - 9*r^2*s^2*t^3 + r*s^3*t^3 - 24*r^2*s*t^4 + 14*r*s^2*t^4 + 2*s^3*t^4 + 11*r*s*t^5 + 7*s*t^6 - 2*r^4*t^2 + 4*r^3*t^3 - 3*r^2*s*t^3 + 3*r*s^2*t^3 - 3*r^2*t^4 + 6*r*s*t^4 + 2*s^2*t^4 - 3*s*t^5 + 3*r*s*t^3 + r*t^4 - 2*s*t^4 + t^5 + r*t^3 - 2*t^4) * k1*k2^2+  (-48) * s * (-3*r^14*s^7*t^3 + 3*r^13*s^7*t^4 + 6*r^14*s^7*t^2 - 24*r^13*s^7*t^3 + 84*r^12*s^7*t^4 - 93*r^11*s^7*t^5 + 27*r^10*s^7*t^6 - 39*r^14*s^7*t - 3*r^14*s^6*t^2 + 210*r^13*s^7*t^2 + 5*r^13*s^6*t^3 - 537*r^12*s^7*t^3 + 813*r^11*s^7*t^4 - 1074*r^10*s^7*t^5 + 999*r^9*s^7*t^6 - 438*r^8*s^7*t^7 + 66*r^7*s^7*t^8 + 63*r^14*s^7 - 12*r^14*s^6*t - 405*r^13*s^7*t + 38*r^13*s^6*t^2 + 1389*r^12*s^7*t^2 + 83*r^12*s^6*t^3 - 3075*r^11*s^7*t^3 - 218*r^11*s^6*t^4 + 4524*r^10*s^7*t^4 + 97*r^10*s^6*t^5 - 4098*r^9*s^7*t^5 + 2859*r^8*s^7*t^6 - 2136*r^7*s^7*t^7 + 1146*r^6*s^7*t^8 - 294*r^5*s^7*t^9 + 27*r^4*s^7*t^10 + 39*r^14*s^6 + 3*r^14*s^5*t - 46*r^13*s^6*t - 180*r^12*s^7*t + r^13*s^5*t^2 - 367*r^12*s^6*t^2 + 771*r^11*s^7*t^2 + 1003*r^11*s^6*t^3 - 1569*r^10*s^7*t^3 - 2046*r^10*s^6*t^4 + 2490*r^9*s^7*t^4 + 2769*r^9*s^6*t^5 - 3978*r^8*s^7*t^5 - 1638*r^8*s^6*t^6 + 3933*r^7*s^7*t^6 + 310*r^7*s^6*t^7 - 2190*r^6*s^7*t^7 + 1356*r^5*s^7*t^8 - 915*r^4*s^7*t^9 + 333*r^3*s^7*t^10 - 54*r^2*s^7*t^11 + 3*r*s^7*t^12 + 6*r^14*s^5 + 34*r^13*s^5*t + 335*r^12*s^6*t + 18*r^11*s^7*t - 41*r^12*s^5*t^2 - 2237*r^11*s^6*t^2 + 414*r^10*s^7*t^2 - 155*r^11*s^5*t^3 + 6699*r^10*s^6*t^3 - 2163*r^9*s^7*t^3 + 134*r^10*s^5*t^4 - 9089*r^9*s^6*t^4 + 4137*r^8*s^7*t^4 + 7728*r^8*s^6*t^5 - 3459*r^7*s^7*t^5 - 6568*r^7*s^6*t^6 + 1413*r^6*s^7*t^6 + 4349*r^6*s^6*t^7 + 63*r^5*s^7*t^7 - 1368*r^5*s^6*t^8 - 1119*r^4*s^7*t^8 + 151*r^4*s^6*t^9 + 930*r^3*s^7*t^9 - 246*r^2*s^7*t^10 + 9*r*s^7*t^11 + 3*s^7*t^12 + 3*r^14*s^4 - 189*r^12*s^6 - r^13*s^4*t - 110*r^12*s^5*t + 519*r^11*s^6*t + 337*r^11*s^5*t^2 - 202*r^10*s^6*t^2 - 252*r^9*s^7*t^2 - 1117*r^10*s^5*t^3 - 14*r^9*s^6*t^3 + 1164*r^8*s^7*t^3 + 2737*r^9*s^5*t^4 - 5076*r^8*s^6*t^4 - 2283*r^7*s^7*t^4 - 2399*r^8*s^5*t^5 + 10635*r^7*s^6*t^5 + 2562*r^6*s^7*t^5 + 598*r^7*s^5*t^6 - 8786*r^6*s^6*t^6 - 2601*r^5*s^7*t^6 + 5499*r^5*s^6*t^7 + 2166*r^4*s^7*t^7 - 3745*r^4*s^6*t^8 - 840*r^3*s^7*t^8 + 1542*r^3*s^6*t^9 + 99*r^2*s^7*t^9 - 284*r^2*s^6*t^10 - 24*r*s^7*t^10 + 17*r*s^6*t^11 + 9*s^7*t^11 - 117*r^12*s^5 + 63*r^11*s^6 - 49*r^12*s^4*t + 26*r^11*s^5*t + 396*r^10*s^6*t - 25*r^11*s^4*t^2 + 2355*r^10*s^5*t^2 - 2780*r^9*s^6*t^2 + 63*r^8*s^7*t^2 + 90*r^10*s^4*t^3 - 6073*r^9*s^5*t^3 + 6066*r^8*s^6*t^3 - 333*r^7*s^7*t^3 + 6948*r^8*s^5*t^4 - 5011*r^7*s^6*t^4 + 876*r^6*s^7*t^4 - 7349*r^7*s^5*t^5 + 2277*r^6*s^6*t^5 - 1524*r^5*s^7*t^5 + 6425*r^6*s^5*t^6 - 1596*r^5*s^6*t^6 + 2055*r^4*s^7*t^6 - 2588*r^5*s^5*t^7 - 381*r^4*s^6*t^7 - 1740*r^3*s^7*t^7 + 355*r^4*s^5*t^8 + 1730*r^3*s^6*t^8 + 699*r^2*s^7*t^8 - 578*r^2*s^6*t^9 - 99*r*s^7*t^9 - 44*r*s^6*t^10 + 3*s^7*t^10 + 26*s^6*t^11 - 18*r^12*s^4 + 102*r^11*s^5 + 118*r^11*s^4*t + 176*r^10*s^5*t - 189*r^9*s^6*t - 103*r^10*s^4*t^2 - 2089*r^9*s^5*t^2 + 759*r^8*s^6*t^2 + 1132*r^9*s^4*t^3 + 384*r^8*s^5*t^3 - 1274*r^7*s^6*t^3 - 1747*r^8*s^4*t^4 + 8111*r^7*s^5*t^4 + 1645*r^6*s^6*t^4 - 24*r^5*s^7*t^4 + 612*r^7*s^4*t^5 - 11543*r^6*s^5*t^5 - 4725*r^5*s^6*t^5 + 108*r^4*s^7*t^5 + 8529*r^5*s^5*t^6 + 7962*r^4*s^6*t^6 - 249*r^3*s^7*t^6 - 6115*r^4*s^5*t^7 - 5951*r^3*s^6*t^7 + 252*r^2*s^7*t^7 + 2890*r^3*s^5*t^8 + 2002*r^2*s^6*t^8 - 96*r*s^7*t^8 - 614*r^2*s^5*t^9 - 481*r*s^6*t^9 + 9*s^7*t^9 + 39*r*s^5*t^10 + 84*s^6*t^10 - 9*r^12*s^3 + 45*r^11*s^4 + 8*r^11*s^3*t + 6*r^10*s^4*t - 553*r^9*s^5*t + 31*r^10*s^3*t^2 - 1314*r^9*s^4*t^2 + 2501*r^8*s^5*t^2 + 2036*r^8*s^4*t^3 - 1946*r^7*s^5*t^3 + 119*r^6*s^6*t^3 - 3361*r^7*s^4*t^4 - 809*r^6*s^5*t^4 - 1035*r^5*s^6*t^4 + 4618*r^6*s^4*t^5 - 1476*r^5*s^5*t^5 + 3473*r^4*s^6*t^5 - 2553*r^5*s^4*t^6 + 3596*r^4*s^5*t^6 - 4955*r^3*s^6*t^6 + 6*r^2*s^7*t^6 + 455*r^4*s^4*t^7 - 991*r^3*s^5*t^7 + 3253*r^2*s^6*t^7 - 9*r*s^7*t^7 + 303*r^2*s^5*t^8 - 836*r*s^6*t^8 + 3*s^7*t^8 - 372*r*s^5*t^9 + 77*s^6*t^9 + 93*s^5*t^10 + 9*r^11*s^3 + 42*r^10*s^3*t - 381*r^9*s^4*t + 87*r^8*s^5*t + 134*r^9*s^3*t^2 + 1287*r^8*s^4*t^2 - 119*r^7*s^5*t^2 - 657*r^8*s^3*t^3 + 1749*r^7*s^4*t^3 - 775*r^6*s^5*t^3 + 24*r^5*s^6*t^3 + 358*r^7*s^3*t^4 - 5958*r^6*s^4*t^4 - 1204*r^5*s^5*t^4 + 4*r^4*s^6*t^4 + 6130*r^5*s^4*t^5 + 8166*r^4*s^5*t^5 - 292*r^3*s^6*t^5 - 5033*r^4*s^4*t^6 - 11042*r^3*s^5*t^6 + 559*r^2*s^6*t^6 + 2799*r^3*s^4*t^7 + 5902*r^2*s^5*t^7 - 391*r*s^6*t^7 - 700*r^2*s^4*t^8 - 1739*r*s^5*t^8 + 66*s^6*t^8 + 45*r*s^4*t^9 + 286*s^5*t^9 + 3*r^11*s^2 + 5*r^10*s^2*t - 102*r^9*s^3*t + 179*r^8*s^4*t - 16*r^8*s^3*t^2 - 160*r^7*s^4*t^2 - 72*r^6*s^5*t^2 - 267*r^7*s^3*t^3 - 1715*r^6*s^4*t^3 + 117*r^5*s^5*t^3 + 1604*r^6*s^3*t^4 + 1037*r^5*s^4*t^4 + 1397*r^4*s^5*t^4 - 1402*r^5*s^3*t^5 + 3686*r^4*s^4*t^5 - 4213*r^3*s^5*t^5 + 4*r^2*s^6*t^5 + 345*r^4*s^3*t^6 - 3987*r^3*s^4*t^6 + 4780*r^2*s^5*t^6 - 14*r*s^6*t^6 + 2045*r^2*s^4*t^7 - 1976*r*s^5*t^7 + 14*s^6*t^7 - 881*r*s^4*t^8 + 281*s^5*t^8 + 180*s^4*t^9 - 31*r^9*s^2*t + 117*r^8*s^3*t - 107*r^8*s^2*t^2 + 172*r^7*s^3*t^2 - 282*r^6*s^4*t^2 + 118*r^7*s^2*t^3 - 1201*r^6*s^3*t^3 + 513*r^5*s^4*t^3 + 1912*r^5*s^3*t^4 + 2497*r^4*s^4*t^4 - 125*r^3*s^5*t^4 - 2134*r^4*s^3*t^5 - 7722*r^3*s^4*t^5 + 356*r^2*s^5*t^5 + 1481*r^3*s^3*t^6 + 6739*r^2*s^4*t^6 - 498*r*s^5*t^6 - 450*r^2*s^3*t^7 - 2641*r*s^4*t^7 + 145*s^5*t^7 + 25*r*s^3*t^8 + 486*s^4*t^8 + 27*r^8*s^2*t + 177*r^7*s^2*t^2 - 404*r^6*s^3*t^2 + 30*r^5*s^4*t^2 + 185*r^6*s^2*t^3 + 846*r^5*s^3*t^3 + 104*r^4*s^4*t^3 - 422*r^5*s^2*t^4 + 811*r^4*s^3*t^4 - 1122*r^3*s^4*t^4 + 6*r^2*s^5*t^4 + 157*r^4*s^2*t^5 - 2769*r^3*s^3*t^5 + 2662*r^2*s^4*t^5 - 5*r*s^5*t^5 + 2232*r^2*s^3*t^6 - 1917*r*s^4*t^6 + 19*s^5*t^6 - 999*r*s^3*t^7 + 415*s^4*t^7 + 205*s^3*t^8 + 2*r^8*s*t + 18*r^7*s*t^2 - 190*r^6*s^2*t^2 + 94*r^5*s^3*t^2 + 191*r^5*s^2*t^3 + 163*r^4*s^3*t^3 - 18*r^3*s^4*t^3 - 394*r^4*s^2*t^4 - 1906*r^3*s^3*t^4 + 75*r^2*s^4*t^4 + 412*r^3*s^2*t^5 + 3301*r^2*s^3*t^5 - 223*r*s^4*t^5 - 164*r^2*s^2*t^6 - 1939*r*s^3*t^6 + 130*s^4*t^6 + 3*r*s^2*t^7 + 449*s^3*t^7 - 23*r^6*s*t^2 + 88*r^5*s^2*t^2 - 60*r^5*s*t^3 - 17*r^4*s^2*t^3 - 96*r^3*s^3*t^3 + 41*r^4*s*t^4 - 611*r^3*s^2*t^4 + 453*r^2*s^3*t^4 + 960*r^2*s^2*t^5 - 755*r*s^3*t^5 + 8*s^4*t^5 - 582*r*s^2*t^6 + 284*s^3*t^6 + 138*s^2*t^7 + 23*r^5*s*t^2 - 8*r^4*s*t^3 - 115*r^3*s^2*t^3 + 6*r^2*s^3*t^3 + 48*r^3*s*t^4 + 577*r^2*s^2*t^4 - 20*r*s^3*t^4 - 34*r^2*s*t^5 - 650*r*s^2*t^5 + 44*s^3*t^5 - 3*r*s*t^6 + 220*s^2*t^6 - r^5*t^2 + 5*r^4*t^3 - 38*r^3*s*t^3 + 17*r^2*s^2*t^3 + 143*r^2*s*t^4 - 77*r*s^2*t^4 - 158*r*s*t^5 + 80*s^2*t^5 + 51*s*t^6 - r^3*t^3 + 16*r^2*s*t^3 - 4*r^2*t^4 - 70*r*s*t^4 + 2*s^2*t^4 - r*t^5 + 48*s*t^5 + 5*r^2*t^3 - 13*r*t^4 + 4*s*t^4 + 8*t^5 + 2*t^4) * k0*k2^2+  (48) * s * (-4*r^14*s^7*t^3 + 4*r^13*s^7*t^4 + 3*r^14*s^7*t^2 + 9*r^13*s^7*t^3 + 12*r^12*s^7*t^4 - 27*r^11*s^7*t^5 + 3*r^10*s^7*t^6 + 24*r^14*s^7*t - 4*r^14*s^6*t^2 - 156*r^13*s^7*t^2 + 8*r^13*s^6*t^3 + 390*r^12*s^7*t^3 - 716*r^11*s^7*t^4 + 719*r^10*s^7*t^5 - 381*r^9*s^7*t^6 + 143*r^8*s^7*t^7 - 23*r^7*s^7*t^8 - 23*r^14*s^7 + 22*r^14*s^6*t + 143*r^13*s^7*t - 42*r^13*s^6*t^2 - 438*r^12*s^7*t^2 + 22*r^12*s^6*t^3 + 861*r^11*s^7*t^3 - 37*r^11*s^6*t^4 - 783*r^10*s^7*t^4 + 468*r^9*s^7*t^5 - 178*r^8*s^7*t^6 - 80*r^7*s^7*t^7 + 39*r^6*s^7*t^8 - 12*r^5*s^7*t^9 + 3*r^4*s^7*t^10 - 24*r^14*s^6 + 4*r^14*s^5*t - 44*r^13*s^6*t + 36*r^12*s^7*t + 4*r^13*s^5*t^2 + 391*r^12*s^6*t^2 - 132*r^11*s^7*t^2 - 1043*r^11*s^6*t^3 + 279*r^10*s^7*t^3 + 1684*r^10*s^6*t^4 - 867*r^9*s^7*t^4 - 1326*r^9*s^6*t^5 + 1076*r^8*s^7*t^5 + 612*r^8*s^6*t^6 - 695*r^7*s^7*t^6 - 114*r^7*s^6*t^7 + 141*r^6*s^7*t^7 + 374*r^5*s^7*t^8 - 323*r^4*s^7*t^9 + 144*r^3*s^7*t^10 - 37*r^2*s^7*t^11 + 4*r*s^7*t^12 + 3*r^14*s^5 - 43*r^13*s^5*t + 16*r^12*s^6*t + 14*r^11*s^7*t - 28*r^12*s^5*t^2 + 414*r^11*s^6*t^2 - 218*r^10*s^7*t^2 + 31*r^11*s^5*t^3 - 1168*r^10*s^6*t^3 + 720*r^9*s^7*t^3 - 21*r^10*s^5*t^4 + 1028*r^9*s^6*t^4 - 809*r^8*s^7*t^4 - 770*r^8*s^6*t^5 + 437*r^7*s^7*t^5 + 272*r^7*s^6*t^6 + 414*r^6*s^7*t^6 - 125*r^6*s^6*t^7 - 964*r^5*s^7*t^7 + 19*r^5*s^6*t^8 + 619*r^4*s^7*t^8 + 6*r^4*s^6*t^9 - 240*r^3*s^7*t^9 + 13*r^2*s^7*t^10 + 17*r*s^7*t^11 - 3*s^7*t^12 + 4*r^14*s^4 + 69*r^12*s^6 + 92*r^12*s^5*t - 169*r^11*s^6*t - 323*r^11*s^5*t^2 - 332*r^10*s^6*t^2 + 60*r^9*s^7*t^2 + 1381*r^10*s^5*t^3 + 551*r^9*s^6*t^3 - 209*r^8*s^7*t^3 - 1813*r^9*s^5*t^4 + 603*r^8*s^6*t^4 + 242*r^7*s^7*t^4 + 1065*r^8*s^5*t^5 - 390*r^7*s^6*t^5 - 273*r^6*s^7*t^5 - 236*r^7*s^5*t^6 - 724*r^6*s^6*t^6 - 15*r^5*s^7*t^6 + 1724*r^5*s^6*t^7 + 327*r^4*s^7*t^7 - 1384*r^4*s^6*t^8 - 255*r^3*s^7*t^8 + 669*r^3*s^6*t^9 + 146*r^2*s^7*t^9 - 193*r^2*s^6*t^10 - 20*r*s^7*t^10 + 24*r*s^6*t^11 - 3*s^7*t^11 + 72*r^12*s^5 - 23*r^11*s^6 - 50*r^12*s^4*t - 204*r^11*s^5*t - 178*r^10*s^6*t + 69*r^11*s^4*t^2 - 158*r^10*s^5*t^2 + 1196*r^9*s^6*t^2 - 23*r^8*s^7*t^2 - 33*r^10*s^4*t^3 + 163*r^9*s^5*t^3 - 1872*r^8*s^6*t^3 + 119*r^7*s^7*t^3 - 641*r^8*s^5*t^4 + 1326*r^7*s^6*t^4 - 321*r^6*s^7*t^4 + 1081*r^7*s^5*t^5 - 873*r^6*s^6*t^5 + 604*r^5*s^7*t^5 - 749*r^6*s^5*t^6 - 653*r^5*s^6*t^6 - 568*r^4*s^7*t^6 + 222*r^5*s^5*t^7 + 1500*r^4*s^6*t^7 + 276*r^3*s^7*t^7 - 18*r^4*s^5*t^8 - 1094*r^3*s^6*t^8 - 56*r^2*s^7*t^8 + 191*r^2*s^6*t^9 - 43*r*s^7*t^9 + 63*r*s^6*t^10 + 12*s^7*t^10 - 17*s^6*t^11 - 9*r^12*s^4 - 47*r^11*s^5 + 11*r^11*s^4*t - 120*r^10*s^5*t + 69*r^9*s^6*t + 466*r^10*s^4*t^2 + 1096*r^9*s^5*t^2 - 229*r^8*s^6*t^2 - 1207*r^9*s^4*t^3 - 1245*r^8*s^5*t^3 - 50*r^7*s^6*t^3 + 957*r^8*s^4*t^4 + 1425*r^7*s^5*t^4 + 116*r^6*s^6*t^4 + 13*r^5*s^7*t^4 - 264*r^7*s^4*t^5 - 2677*r^6*s^5*t^5 + 519*r^5*s^6*t^5 - 58*r^4*s^7*t^5 + 3250*r^5*s^5*t^6 + 106*r^4*s^6*t^6 + 75*r^3*s^7*t^6 - 2445*r^4*s^5*t^7 - 817*r^3*s^6*t^7 - 67*r^2*s^7*t^7 + 1256*r^3*s^5*t^8 + 720*r^2*s^6*t^8 + 40*r*s^7*t^8 - 407*r^2*s^5*t^9 - 142*r*s^6*t^9 - 3*s^7*t^9 + 60*r*s^5*t^10 - 12*s^6*t^10 - 12*r^12*s^3 - 21*r^11*s^4 + 32*r^11*s^3*t + 111*r^10*s^4*t + 247*r^9*s^5*t - 18*r^10*s^3*t^2 - 360*r^9*s^4*t^2 - 988*r^8*s^5*t^2 + 176*r^8*s^4*t^3 + 1014*r^7*s^5*t^3 + 4*r^6*s^6*t^3 + 1013*r^7*s^4*t^4 - 1084*r^6*s^5*t^4 + 426*r^5*s^6*t^4 - 1111*r^6*s^4*t^5 + 1055*r^5*s^5*t^5 - 1028*r^4*s^6*t^5 + 458*r^5*s^4*t^6 + 1006*r^4*s^5*t^6 + 734*r^3*s^6*t^6 + r^2*s^7*t^6 - 75*r^4*s^4*t^7 - 1985*r^3*s^5*t^7 - 135*r^2*s^6*t^7 + 2*r*s^7*t^7 + 719*r^2*s^5*t^8 - 169*r*s^6*t^8 - 3*s^7*t^8 + 47*r*s^5*t^9 + 52*s^6*t^9 - 39*s^5*t^10 + 7*r^11*s^3 + 50*r^10*s^3*t + 162*r^9*s^4*t - 36*r^8*s^5*t - 374*r^9*s^3*t^2 - 638*r^8*s^4*t^2 - 20*r^7*s^5*t^2 + 456*r^8*s^3*t^3 + 1320*r^7*s^4*t^3 + 448*r^6*s^5*t^3 - 13*r^5*s^6*t^3 - 171*r^7*s^3*t^4 - 2622*r^6*s^4*t^4 - 189*r^5*s^5*t^4 - 22*r^4*s^6*t^4 + 3056*r^5*s^4*t^5 - 200*r^4*s^5*t^5 + 82*r^3*s^6*t^5 - 2304*r^4*s^4*t^6 - 1105*r^3*s^5*t^6 - 91*r^2*s^6*t^6 + 1221*r^3*s^4*t^7 + 1545*r^2*s^5*t^7 + 78*r*s^6*t^7 - 435*r^2*s^4*t^8 - 458*r*s^5*t^8 - 6*s^6*t^8 + 80*r*s^4*t^9 - 7*s^5*t^9 + 4*r^11*s^2 - 3*r^10*s^2*t - 51*r^9*s^3*t - 74*r^8*s^4*t + 231*r^8*s^3*t^2 + 147*r^7*s^4*t^2 + 39*r^6*s^5*t^2 + 271*r^7*s^3*t^3 - 166*r^6*s^4*t^3 - 73*r^5*s^5*t^3 - 674*r^6*s^3*t^4 + 685*r^5*s^4*t^4 - 203*r^4*s^5*t^4 + 412*r^5*s^3*t^5 + 60*r^4*s^4*t^5 + 391*r^3*s^5*t^5 + 6*r^2*s^6*t^5 - 105*r^4*s^3*t^6 - 1788*r^3*s^4*t^6 + 90*r^2*s^5*t^6 - 4*r*s^6*t^6 + 1209*r^2*s^4*t^7 - 372*r*s^5*t^7 - 5*s^6*t^7 - 111*r*s^4*t^8 + 112*s^5*t^8 - 45*s^4*t^9 - 35*r^9*s^2*t - 36*r^8*s^3*t + 99*r^8*s^2*t^2 + 164*r^7*s^3*t^2 + 102*r^6*s^4*t^2 - 62*r^7*s^2*t^3 - 818*r^6*s^3*t^3 - 257*r^5*s^4*t^3 + 1384*r^5*s^3*t^4 + 138*r^4*s^4*t^4 + 2*r^3*s^5*t^4 - 1237*r^4*s^3*t^5 - 759*r^3*s^4*t^5 + 2*r^2*s^5*t^5 + 664*r^3*s^3*t^6 + 1680*r^2*s^4*t^6 + 10*r*s^5*t^6 - 235*r^2*s^3*t^7 - 770*r*s^4*t^7 + 8*s^5*t^7 + 60*r*s^3*t^8 + 36*s^4*t^8 + 6*r^8*s^2*t - 13*r^7*s^2*t^2 + 59*r^6*s^3*t^2 - 12*r^5*s^4*t^2 - 152*r^6*s^2*t^3 + 5*r^5*s^3*t^3 + 41*r^4*s^4*t^3 + 171*r^5*s^2*t^4 - 95*r^4*s^3*t^4 - 78*r^3*s^4*t^4 + r^2*s^5*t^4 - 72*r^4*s^2*t^5 - 774*r^3*s^3*t^5 + 300*r^2*s^4*t^5 - 6*r*s^5*t^5 + 1025*r^2*s^3*t^6 - 466*r*s^4*t^6 - s^5*t^6 - 249*r*s^3*t^7 + 152*s^4*t^7 - 25*s^3*t^8 + 4*r^8*s*t - 10*r^7*s*t^2 - 8*r^6*s^2*t^2 - 28*r^5*s^3*t^2 + 224*r^5*s^2*t^3 + 51*r^4*s^3*t^3 - 3*r^3*s^4*t^3 - 360*r^4*s^2*t^4 - 206*r^3*s^3*t^4 + 23*r^2*s^4*t^4 + 215*r^3*s^2*t^5 + 870*r^2*s^3*t^5 - 46*r*s^4*t^5 - 47*r^2*s^2*t^6 - 682*r*s^3*t^6 + 26*s^4*t^6 + 24*r*s^2*t^7 + 79*s^3*t^7 - 4*r^6*s*t^2 - 20*r^5*s^2*t^2 + 26*r^5*s*t^3 - 30*r^4*s^2*t^3 - 9*r^3*s^3*t^3 - 24*r^4*s*t^4 - 94*r^3*s^2*t^4 + 130*r^2*s^3*t^4 + 419*r^2*s^2*t^5 - 277*r*s^3*t^5 + s^4*t^5 - 199*r*s^2*t^6 + 124*s^3*t^6 - 3*s^2*t^7 - 4*r^5*s*t^2 - 43*r^4*s*t^3 + 10*r^3*s^2*t^3 + r^2*s^3*t^3 + 48*r^3*s*t^4 + 156*r^2*s^2*t^4 - 18*r*s^3*t^4 + 7*r^2*s*t^5 - 296*r*s^2*t^5 + 19*s^3*t^5 + 4*r*s*t^6 + 68*s^2*t^6 - 3*r^4*t^3 + 23*r^3*s*t^3 - r^2*s^2*t^3 + 59*r^2*s*t^4 - 57*r*s^2*t^4 - 71*r*s*t^5 + 52*s^2*t^5 + 3*s*t^6 + 7*r^3*t^3 - 5*r^2*s*t^3 + 3*r^2*t^4 - 48*r*s*t^4 + 4*s^2*t^4 + 27*s*t^5 - 3*r^2*t^3 - 9*r*t^4 + 8*s*t^4 + t^5 + 4*t^4) * k1^2*k2+  (-48) * (-r^15*s^8*t^3 - 2*r^15*s^8*t^2 - 8*r^14*s^8*t^3 + 37*r^13*s^8*t^4 - 17*r^12*s^8*t^5 - 44*r^15*s^8*t - r^15*s^7*t^2 + 232*r^14*s^8*t^2 - 437*r^13*s^8*t^3 + 487*r^12*s^8*t^4 - 492*r^11*s^8*t^5 + 240*r^10*s^8*t^6 - 31*r^9*s^8*t^7 + 74*r^15*s^8 - 28*r^15*s^7*t - 440*r^14*s^8*t + 40*r^14*s^7*t^2 + 1348*r^13*s^8*t^2 + 53*r^13*s^7*t^3 - 2812*r^12*s^8*t^3 - 50*r^12*s^7*t^4 + 3533*r^11*s^8*t^4 - 2455*r^10*s^8*t^5 + 1232*r^9*s^8*t^6 - 320*r^8*s^8*t^7 - 71*r^7*s^8*t^8 + 31*r^6*s^8*t^9 + 44*r^15*s^7 + r^15*s^6*t + 32*r^14*s^7*t - 192*r^13*s^8*t - 337*r^13*s^7*t^2 + 796*r^12*s^8*t^2 + 622*r^12*s^7*t^3 - 1351*r^11*s^8*t^3 - 1085*r^11*s^7*t^4 + 2009*r^10*s^8*t^4 + 761*r^10*s^7*t^5 - 2405*r^9*s^8*t^5 - 122*r^9*s^7*t^6 + 1082*r^8*s^8*t^6 - 148*r^7*s^8*t^7 - 261*r^6*s^8*t^8 + 393*r^5*s^8*t^9 - 150*r^4*s^8*t^10 + 17*r^3*s^8*t^11 - 2*r^15*s^6 + 40*r^14*s^6*t + 164*r^13*s^7*t - 20*r^12*s^8*t + 8*r^13*s^6*t^2 - 1979*r^12*s^7*t^2 + 632*r^11*s^8*t^2 - 53*r^12*s^6*t^3 + 5387*r^11*s^7*t^3 - 2626*r^10*s^8*t^3 - 5815*r^10*s^7*t^4 + 4141*r^9*s^8*t^4 + 4042*r^9*s^7*t^5 - 3183*r^8*s^8*t^5 - 1471*r^8*s^7*t^6 + 669*r^7*s^8*t^6 - 221*r^7*s^7*t^7 + 2467*r^6*s^8*t^7 + 153*r^6*s^7*t^8 - 2918*r^5*s^8*t^8 + 1624*r^4*s^8*t^9 - 717*r^3*s^8*t^10 + 211*r^2*s^8*t^11 - 29*r*s^8*t^12 + s^8*t^13 + r^15*s^5 - 222*r^13*s^7 - 60*r^13*s^6*t + 640*r^12*s^7*t + 100*r^12*s^6*t^2 + 210*r^11*s^7*t^2 - 192*r^10*s^8*t^2 - 704*r^11*s^6*t^3 - 587*r^10*s^7*t^3 + 796*r^9*s^8*t^3 + 894*r^10*s^6*t^4 - 3312*r^9*s^7*t^4 - 1351*r^8*s^8*t^4 - 193*r^9*s^6*t^5 + 4484*r^8*s^7*t^5 + 2009*r^7*s^8*t^5 - 2820*r^7*s^7*t^6 - 2405*r^6*s^8*t^6 + 452*r^6*s^7*t^7 + 1082*r^5*s^8*t^7 + 1277*r^5*s^7*t^8 - 148*r^4*s^8*t^8 - 713*r^4*s^7*t^9 - 261*r^3*s^8*t^9 + 101*r^3*s^7*t^10 + 393*r^2*s^8*t^10 - 150*r*s^8*t^11 + 17*s^8*t^12 - 132*r^13*s^6 + 74*r^12*s^7 - 11*r^13*s^5*t + 131*r^12*s^6*t + 546*r^11*s^7*t - 23*r^12*s^5*t^2 + 1653*r^11*s^6*t^2 - 3632*r^10*s^7*t^2 + 74*r^9*s^8*t^2 - 3670*r^10*s^6*t^3 + 6297*r^9*s^7*t^3 - 440*r^8*s^8*t^3 + 4106*r^9*s^6*t^4 - 4114*r^8*s^7*t^4 + 1348*r^7*s^8*t^4 - 2284*r^8*s^6*t^5 + 1331*r^7*s^7*t^5 - 2812*r^6*s^8*t^5 - 251*r^7*s^6*t^6 + 3808*r^6*s^7*t^6 + 3533*r^5*s^8*t^6 + 315*r^6*s^6*t^7 - 6392*r^5*s^7*t^7 - 2455*r^4*s^8*t^7 + 4438*r^4*s^7*t^8 + 1232*r^3*s^8*t^8 - 2561*r^3*s^7*t^9 - 320*r^2*s^8*t^9 + 960*r^2*s^7*t^10 - 71*r*s^8*t^10 - 159*r*s^7*t^11 + 31*s^8*t^11 + 6*s^7*t^12 + 6*r^13*s^5 + 118*r^12*s^6 - 24*r^12*s^5*t + 227*r^11*s^6*t - 222*r^10*s^7*t - 49*r^11*s^5*t^2 - 2186*r^10*s^6*t^2 + 640*r^9*s^7*t^2 + 443*r^10*s^5*t^3 + 814*r^9*s^6*t^3 + 210*r^8*s^7*t^3 - 156*r^9*s^5*t^4 + 3927*r^8*s^6*t^4 - 587*r^7*s^7*t^4 - 44*r^6*s^8*t^4 - 5738*r^7*s^6*t^5 - 3312*r^6*s^7*t^5 + 232*r^5*s^8*t^5 + 2890*r^6*s^6*t^6 + 4484*r^5*s^7*t^6 - 437*r^4*s^8*t^6 + 1348*r^5*s^6*t^7 - 2820*r^4*s^7*t^7 + 487*r^3*s^8*t^7 - 1372*r^4*s^6*t^8 + 452*r^3*s^7*t^8 - 492*r^2*s^8*t^8 + 254*r^3*s^6*t^9 + 1277*r^2*s^7*t^9 + 240*r*s^8*t^9 - 713*r*s^7*t^10 - 31*s^8*t^10 + 101*s^7*t^11 - 3*r^13*s^4 + 42*r^12*s^5 - 2*r^12*s^4*t - 68*r^11*s^5*t - 740*r^10*s^6*t - 437*r^10*s^5*t^2 + 2774*r^9*s^6*t^2 + 1140*r^9*s^5*t^3 - 1602*r^8*s^6*t^3 + 164*r^7*s^7*t^3 - 1323*r^8*s^5*t^4 - 1184*r^7*s^6*t^4 - 1979*r^6*s^7*t^4 - 149*r^7*s^5*t^5 + 2440*r^6*s^6*t^5 + 5387*r^5*s^7*t^5 + 349*r^6*s^5*t^6 - 3268*r^5*s^6*t^6 - 5815*r^4*s^7*t^6 - 2*r^3*s^8*t^6 + 2826*r^4*s^6*t^7 + 4042*r^3*s^7*t^7 - 8*r^2*s^8*t^7 - 2912*r^3*s^6*t^8 - 1471*r^2*s^7*t^8 + 37*r*s^8*t^8 + 1640*r^2*s^6*t^9 - 221*r*s^7*t^9 - 17*s^8*t^9 - 350*r*s^6*t^10 + 153*s^7*t^10 + 14*s^6*t^11 - r^12*s^4 + 62*r^11*s^4*t - 383*r^10*s^5*t + 118*r^9*s^6*t + 48*r^10*s^4*t^2 + 1119*r^9*s^5*t^2 + 227*r^8*s^6*t^2 - 65*r^9*s^4*t^3 + 533*r^8*s^5*t^3 - 2186*r^7*s^6*t^3 + 44*r^6*s^7*t^3 - 3867*r^7*s^5*t^4 + 814*r^6*s^6*t^4 + 32*r^5*s^7*t^4 + 3659*r^6*s^5*t^5 + 3927*r^5*s^6*t^5 - 337*r^4*s^7*t^5 + 261*r^5*s^5*t^6 - 5738*r^4*s^6*t^6 + 622*r^3*s^7*t^6 - 1348*r^4*s^5*t^7 + 2890*r^3*s^6*t^7 - 1085*r^2*s^7*t^7 + 349*r^3*s^5*t^8 + 1348*r^2*s^6*t^8 + 761*r*s^7*t^8 - s^8*t^8 - 1372*r*s^6*t^9 - 122*s^7*t^9 + 254*s^6*t^10 + r^12*s^3 - 31*r^10*s^4*t + 204*r^9*s^5*t - 138*r^9*s^4*t^2 - 149*r^8*s^5*t^2 - 132*r^7*s^6*t^2 - 78*r^8*s^4*t^3 - 1575*r^7*s^5*t^3 + 131*r^6*s^6*t^3 - 86*r^7*s^4*t^4 + 2126*r^6*s^5*t^4 + 1653*r^5*s^6*t^4 + 221*r^6*s^4*t^5 + 642*r^5*s^5*t^5 - 3670*r^4*s^6*t^5 - 28*r^3*s^7*t^5 - 1820*r^4*s^5*t^6 + 4106*r^3*s^6*t^6 + 40*r^2*s^7*t^6 - 334*r^3*s^5*t^7 - 2284*r^2*s^6*t^7 + 53*r*s^7*t^7 + 1141*r^2*s^5*t^8 - 251*r*s^6*t^8 - 50*s^7*t^8 - 377*r*s^5*t^9 + 315*s^6*t^9 + 14*s^5*t^10 - 22*r^10*s^3*t + 103*r^9*s^4*t - 10*r^9*s^3*t^2 + 24*r^8*s^4*t^2 - 383*r^7*s^5*t^2 - 948*r^7*s^4*t^3 + 1119*r^6*s^5*t^3 + 1785*r^6*s^4*t^4 + 533*r^5*s^5*t^4 - 60*r^4*s^6*t^4 - 430*r^5*s^4*t^5 - 3867*r^4*s^5*t^5 + 100*r^3*s^6*t^5 - 682*r^4*s^4*t^6 + 3659*r^3*s^5*t^6 - 704*r^2*s^6*t^6 + 280*r^3*s^4*t^7 + 261*r^2*s^5*t^7 + 894*r*s^6*t^7 - s^7*t^7 - 1348*r*s^5*t^8 - 193*s^6*t^8 + 349*s^5*t^9 + 18*r^9*s^3*t + 112*r^8*s^3*t^2 - 365*r^7*s^4*t^2 + 42*r^6*s^5*t^2 - 50*r^7*s^3*t^3 + 921*r^6*s^4*t^3 - 68*r^5*s^5*t^3 + 75*r^6*s^3*t^4 + 442*r^5*s^4*t^4 - 437*r^4*s^5*t^4 - 2*r^3*s^6*t^4 - 2544*r^4*s^4*t^5 + 1140*r^3*s^5*t^5 + 40*r^2*s^6*t^5 + 1619*r^3*s^4*t^6 - 1323*r^2*s^5*t^6 + 8*r*s^6*t^6 - 21*r^2*s^4*t^7 - 149*r*s^5*t^7 - 53*s^6*t^7 - 170*r*s^4*t^8 + 349*s^5*t^8 + r^9*s^2*t - 147*r^7*s^3*t^2 + 103*r^6*s^4*t^2 + 327*r^6*s^3*t^3 + 24*r^5*s^4*t^3 + 6*r^4*s^5*t^3 - 278*r^5*s^3*t^4 - 948*r^4*s^4*t^4 - 24*r^3*s^5*t^4 - 133*r^4*s^3*t^5 + 1785*r^3*s^4*t^5 - 49*r^2*s^5*t^5 + 127*r^3*s^3*t^6 - 430*r^2*s^4*t^6 + 443*r*s^5*t^6 + s^6*t^6 - 682*r*s^4*t^7 - 156*s^5*t^7 + 280*s^4*t^8 - 12*r^7*s^2*t^2 + 86*r^6*s^3*t^2 + 9*r^6*s^2*t^3 + 6*r^5*s^3*t^3 - 31*r^4*s^4*t^3 - 770*r^4*s^3*t^4 - 138*r^3*s^4*t^4 + 1099*r^3*s^3*t^5 - 78*r^2*s^4*t^5 - 11*r*s^5*t^5 - 478*r^2*s^3*t^6 - 86*r*s^4*t^6 - 23*s^5*t^6 + 31*r*s^3*t^7 + 221*s^4*t^7 - 14*s^3*t^8 + 24*r^6*s^2*t^2 - 51*r^5*s^2*t^3 - 147*r^4*s^3*t^3 - r^3*s^4*t^3 + 20*r^4*s^2*t^4 + 327*r^3*s^3*t^4 + 62*r^2*s^4*t^4 + 26*r^3*s^2*t^5 - 278*r^2*s^3*t^5 + 48*r*s^4*t^5 + s^5*t^5 - 133*r*s^3*t^6 - 65*s^4*t^6 + 127*s^3*t^7 - r^6*s*t^2 - 58*r^4*s^2*t^3 + 18*r^3*s^3*t^3 + 218*r^3*s^2*t^4 + 112*r^2*s^3*t^4 - 3*r*s^4*t^4 - 246*r^2*s^2*t^5 - 50*r*s^3*t^5 - 2*s^4*t^5 + 66*r*s^2*t^6 + 75*s^3*t^6 - 14*s^2*t^7 + 10*r^4*s*t^3 + 24*r^3*s^2*t^3 - r^3*s*t^4 - 51*r^2*s^2*t^4 - 22*r*s^3*t^4 + 20*r*s^2*t^5 - 10*s^3*t^5 + 26*s^2*t^6 + 4*r^3*s*t^3 - 39*r^2*s*t^4 - 12*r*s^2*t^4 + s^3*t^4 + 25*r*s*t^5 + 9*s^2*t^5 - 6*s*t^6 - r^3*t^3 + 10*r*s*t^4 + s^2*t^4 - s*t^5 + 3*r*t^4 - s*t^4 - t^5 - t^4) * k0*k1*k2+  (-48) * s * (6*r^16*s^7*t^2 - 9*r^15*s^7*t^3 + 3*r^14*s^7*t^4 - 24*r^16*s^7*t + 108*r^15*s^7*t^2 - 249*r^14*s^7*t^3 + 252*r^13*s^7*t^4 - 96*r^12*s^7*t^5 + 9*r^11*s^7*t^6 + 63*r^16*s^7 + 4*r^16*s^6*t - 333*r^15*s^7*t - 14*r^15*s^6*t^2 + 876*r^14*s^7*t^2 + 14*r^14*s^6*t^3 - 1524*r^13*s^7*t^3 + 2055*r^12*s^7*t^4 - 1740*r^11*s^7*t^5 + 699*r^10*s^7*t^6 - 99*r^9*s^7*t^7 + 3*r^8*s^7*t^8 + 24*r^16*s^6 + 4*r^15*s^6*t - 252*r^14*s^7*t - 292*r^14*s^6*t^2 + 1164*r^13*s^7*t^2 + 559*r^13*s^6*t^3 - 2283*r^12*s^7*t^3 - 391*r^12*s^6*t^4 + 2562*r^11*s^7*t^4 + 66*r^11*s^6*t^5 - 2601*r^10*s^7*t^5 + 2166*r^9*s^7*t^6 - 840*r^8*s^7*t^7 + 99*r^7*s^7*t^8 - 24*r^6*s^7*t^9 + 9*r^5*s^7*t^10 + 6*r^16*s^5 - 5*r^15*s^5*t + 119*r^14*s^6*t + 18*r^13*s^7*t + 19*r^14*s^5*t^2 - 1035*r^13*s^6*t^2 + 414*r^12*s^7*t^2 + 3473*r^12*s^6*t^3 - 2163*r^11*s^7*t^3 - 4955*r^11*s^6*t^4 + 4137*r^10*s^7*t^4 + 3253*r^10*s^6*t^5 - 3459*r^9*s^7*t^5 - 836*r^9*s^6*t^6 + 1413*r^8*s^7*t^6 + 77*r^8*s^6*t^7 + 63*r^7*s^7*t^7 - 1119*r^6*s^7*t^8 + 930*r^5*s^7*t^9 - 246*r^4*s^7*t^10 + 9*r^3*s^7*t^11 + 3*r^2*s^7*t^12 - 189*r^14*s^6 - 125*r^14*s^5*t + 759*r^13*s^6*t + 356*r^13*s^5*t^2 - 1274*r^12*s^6*t^2 - 180*r^11*s^7*t^2 - 498*r^12*s^5*t^3 + 1645*r^11*s^6*t^3 + 771*r^10*s^7*t^3 + 145*r^11*s^5*t^4 - 4725*r^10*s^6*t^4 - 1569*r^9*s^7*t^4 + 7962*r^9*s^6*t^5 + 2490*r^8*s^7*t^5 - 5951*r^8*s^6*t^6 - 3978*r^7*s^7*t^6 + 2002*r^7*s^6*t^7 + 3933*r^6*s^7*t^7 - 481*r^6*s^6*t^8 - 2190*r^5*s^7*t^8 + 84*r^5*s^6*t^9 + 1356*r^4*s^7*t^9 - 915*r^3*s^7*t^10 + 333*r^2*s^7*t^11 - 54*r*s^7*t^12 + 3*s^7*t^13 - 72*r^14*s^5 + 63*r^13*s^6 + 8*r^14*s^4*t + 117*r^13*s^5*t + 396*r^12*s^6*t + 1397*r^12*s^5*t^2 - 2780*r^11*s^6*t^2 + 63*r^10*s^7*t^2 - 4213*r^11*s^5*t^3 + 6066*r^10*s^6*t^3 - 405*r^9*s^7*t^3 + 4780*r^10*s^5*t^4 - 5011*r^9*s^6*t^4 + 1389*r^8*s^7*t^4 - 1976*r^9*s^5*t^5 + 2277*r^8*s^6*t^5 - 3075*r^7*s^7*t^5 + 281*r^8*s^5*t^6 - 1596*r^7*s^6*t^6 + 4524*r^6*s^7*t^6 - 381*r^6*s^6*t^7 - 4098*r^5*s^7*t^7 + 1730*r^5*s^6*t^8 + 2859*r^4*s^7*t^8 - 578*r^4*s^6*t^9 - 2136*r^3*s^7*t^9 - 44*r^3*s^6*t^10 + 1146*r^2*s^7*t^10 + 26*r^2*s^6*t^11 - 294*r*s^7*t^11 + 27*s^7*t^12 - 18*r^14*s^4 + 87*r^13*s^5 + 75*r^13*s^4*t - 119*r^12*s^5*t - 189*r^11*s^6*t - 223*r^12*s^4*t^2 - 775*r^11*s^5*t^2 + 519*r^10*s^6*t^2 + 130*r^11*s^4*t^3 - 1204*r^10*s^5*t^3 - 202*r^9*s^6*t^3 + 8166*r^9*s^5*t^4 - 14*r^8*s^6*t^4 - 39*r^7*s^7*t^4 - 11042*r^8*s^5*t^5 - 5076*r^7*s^6*t^5 + 210*r^6*s^7*t^5 + 5902*r^7*s^5*t^6 + 10635*r^6*s^6*t^6 - 537*r^5*s^7*t^6 - 1739*r^6*s^5*t^7 - 8786*r^5*s^6*t^7 + 813*r^4*s^7*t^7 + 286*r^5*s^5*t^8 + 5499*r^4*s^6*t^8 - 1074*r^3*s^7*t^8 - 3745*r^3*s^6*t^9 + 999*r^2*s^7*t^9 + 1542*r^2*s^6*t^10 - 438*r*s^7*t^10 - 284*r*s^6*t^11 + 66*s^7*t^11 + 17*s^6*t^12 + 30*r^13*s^4 + 104*r^12*s^4*t - 553*r^11*s^5*t - 1122*r^11*s^4*t^2 + 2501*r^10*s^5*t^2 + 2662*r^10*s^4*t^3 - 1946*r^9*s^5*t^3 + 335*r^8*s^6*t^3 - 1917*r^9*s^4*t^4 - 809*r^8*s^5*t^4 - 2237*r^7*s^6*t^4 + 415*r^8*s^4*t^5 - 1476*r^7*s^5*t^5 + 6699*r^6*s^6*t^5 + 3596*r^6*s^5*t^6 - 9089*r^5*s^6*t^6 + 6*r^4*s^7*t^6 - 991*r^5*s^5*t^7 + 7728*r^4*s^6*t^7 - 24*r^3*s^7*t^7 + 303*r^4*s^5*t^8 - 6568*r^3*s^6*t^8 + 84*r^2*s^7*t^8 - 372*r^3*s^5*t^9 + 4349*r^2*s^6*t^9 - 93*r*s^7*t^9 + 93*r^2*s^5*t^10 - 1368*r*s^6*t^10 + 27*s^7*t^10 + 151*s^6*t^11 + 6*r^13*s^3 - 20*r^12*s^3*t - 282*r^11*s^4*t + 102*r^10*s^5*t + 44*r^11*s^3*t^2 + 513*r^10*s^4*t^2 + 176*r^9*s^5*t^2 + 2497*r^9*s^4*t^3 - 2089*r^8*s^5*t^3 + 39*r^7*s^6*t^3 - 7722*r^8*s^4*t^4 + 384*r^7*s^5*t^4 - 46*r^6*s^6*t^4 + 6739*r^7*s^4*t^5 + 8111*r^6*s^5*t^5 - 367*r^5*s^6*t^5 - 2641*r^6*s^4*t^6 - 11543*r^5*s^5*t^6 + 1003*r^4*s^6*t^6 + 486*r^5*s^4*t^7 + 8529*r^4*s^5*t^7 - 2046*r^3*s^6*t^7 - 6115*r^3*s^5*t^8 + 2769*r^2*s^6*t^8 - 3*r*s^7*t^8 + 2890*r^2*s^5*t^9 - 1638*r*s^6*t^9 + 3*s^7*t^9 - 614*r*s^5*t^10 + 310*s^6*t^10 + 39*s^5*t^11 - 96*r^11*s^3*t + 179*r^10*s^4*t + 453*r^10*s^3*t^2 - 160*r^9*s^4*t^2 - 117*r^8*s^5*t^2 - 755*r^9*s^3*t^3 - 1715*r^8*s^4*t^3 + 26*r^7*s^5*t^3 + 284*r^8*s^3*t^4 + 1037*r^7*s^4*t^4 + 2355*r^6*s^5*t^4 + 3686*r^6*s^4*t^5 - 6073*r^5*s^5*t^5 - 12*r^4*s^6*t^5 - 3987*r^5*s^4*t^6 + 6948*r^4*s^5*t^6 + 38*r^3*s^6*t^6 + 2045*r^4*s^4*t^7 - 7349*r^3*s^5*t^7 + 83*r^2*s^6*t^7 - 881*r^3*s^4*t^8 + 6425*r^2*s^5*t^8 - 218*r*s^6*t^8 + 180*r^2*s^4*t^9 - 2588*r*s^5*t^9 + 97*s^6*t^9 + 355*s^5*t^10 + 2*r^11*s^2*t + 94*r^10*s^3*t + 163*r^9*s^3*t^2 - 381*r^8*s^4*t^2 - 1906*r^8*s^3*t^3 + 1287*r^7*s^4*t^3 + 3301*r^7*s^3*t^4 + 1749*r^6*s^4*t^4 - 110*r^5*s^5*t^4 - 1939*r^6*s^3*t^5 - 5958*r^5*s^4*t^5 + 337*r^4*s^5*t^5 + 449*r^5*s^3*t^6 + 6130*r^4*s^4*t^6 - 1117*r^3*s^5*t^6 - 5033*r^3*s^4*t^7 + 2737*r^2*s^5*t^7 - 3*r*s^6*t^7 + 2799*r^2*s^4*t^8 - 2399*r*s^5*t^8 + 5*s^6*t^8 - 700*r*s^4*t^9 + 598*s^5*t^9 + 45*s^4*t^10 + 17*r^10*s^2*t - 77*r^9*s^2*t^2 - 404*r^8*s^3*t^2 + 45*r^7*s^4*t^2 + 80*r^8*s^2*t^3 + 846*r^7*s^3*t^3 + 6*r^6*s^4*t^3 + 811*r^6*s^3*t^4 - 1314*r^5*s^4*t^4 + 6*r^4*s^5*t^4 - 2769*r^5*s^3*t^5 + 2036*r^4*s^4*t^5 + 34*r^3*s^5*t^5 + 2232*r^4*s^3*t^6 - 3361*r^3*s^4*t^6 - 41*r^2*s^5*t^6 - 999*r^3*s^3*t^7 + 4618*r^2*s^4*t^7 - 155*r*s^5*t^7 + 205*r^2*s^3*t^8 - 2553*r*s^4*t^8 + 134*s^5*t^8 + 455*s^4*t^9 - 115*r^8*s^2*t^2 + 117*r^7*s^3*t^2 + 577*r^7*s^2*t^3 + 172*r^6*s^3*t^3 - 18*r^5*s^4*t^3 - 650*r^6*s^2*t^4 - 1201*r^5*s^3*t^4 + 118*r^4*s^4*t^4 + 220*r^5*s^2*t^5 + 1912*r^4*s^3*t^5 - 103*r^3*s^4*t^5 - 2134*r^3*s^3*t^6 + 1132*r^2*s^4*t^6 + 3*r*s^5*t^6 + 1481*r^2*s^3*t^7 - 1747*r*s^4*t^7 + s^5*t^7 - 450*r*s^3*t^8 + 612*s^4*t^8 + 25*s^3*t^9 + 4*r^8*s*t^2 + 88*r^7*s^2*t^2 - 17*r^6*s^2*t^3 - 102*r^5*s^3*t^3 - 611*r^5*s^2*t^4 - 16*r^4*s^3*t^4 + 960*r^4*s^2*t^5 - 267*r^3*s^3*t^5 - 49*r^2*s^4*t^5 - 582*r^3*s^2*t^6 + 1604*r^2*s^3*t^6 - 25*r*s^4*t^6 + 138*r^2*s^2*t^7 - 1402*r*s^3*t^7 + 90*s^4*t^7 + 345*s^3*t^8 + 16*r^7*s*t^2 - 70*r^6*s*t^3 - 190*r^5*s^2*t^3 + 9*r^4*s^3*t^3 + 48*r^5*s*t^4 + 191*r^4*s^2*t^4 + 42*r^3*s^3*t^4 - 394*r^3*s^2*t^5 + 134*r^2*s^3*t^5 + 3*r*s^4*t^5 + 412*r^2*s^2*t^6 - 657*r*s^3*t^6 - s^4*t^6 - 164*r*s^2*t^7 + 358*s^3*t^7 + 3*s^2*t^8 - 38*r^5*s*t^3 + 27*r^4*s^2*t^3 + 143*r^4*s*t^4 + 177*r^3*s^2*t^4 - 9*r^2*s^3*t^4 - 158*r^3*s*t^5 + 185*r^2*s^2*t^5 + 8*r*s^3*t^5 + 51*r^2*s*t^6 - 422*r*s^2*t^6 + 31*s^3*t^6 + 157*s^2*t^7 + 2*r^5*t^3 + 23*r^4*s*t^3 - 8*r^3*s*t^4 - 31*r^2*s^2*t^4 + 48*r^2*s*t^5 - 107*r*s^2*t^5 - 34*r*s*t^6 + 118*s^2*t^6 - 3*s*t^7 + 5*r^4*t^3 - 13*r^3*t^4 - 23*r^2*s*t^4 + 3*r*s^2*t^4 + 8*r^2*t^5 - 60*r*s*t^5 + 5*s^2*t^5 + 41*s*t^6 - r^2*t^4 + 2*r*s*t^4 - 4*r*t^5 + 18*s*t^5 - t^6 - r*t^4 + 5*t^5) * k0^2*k2+  (16) * (-2*r^15*s^8*t^3 + 12*r^14*s^8*t^3 + 6*r^13*s^8*t^4 + 2*r^12*s^8*t^5 + 15*r^15*s^8*t - 2*r^15*s^7*t^2 - 78*r^14*s^8*t^2 + 147*r^13*s^8*t^3 - 262*r^12*s^8*t^4 + 153*r^11*s^8*t^5 - 78*r^10*s^8*t^6 + 13*r^9*s^8*t^7 - 13*r^15*s^8 + 8*r^15*s^7*t + 66*r^14*s^8*t - 177*r^13*s^8*t^2 + 321*r^12*s^8*t^3 + 9*r^12*s^7*t^4 - 129*r^11*s^8*t^4 + 63*r^10*s^8*t^5 + 197*r^9*s^8*t^6 - 141*r^8*s^8*t^7 + 66*r^7*s^8*t^8 - 13*r^6*s^8*t^9 - 15*r^15*s^7 + 2*r^15*s^6*t - 36*r^14*s^7*t + 24*r^13*s^8*t + 195*r^13*s^7*t^2 - 71*r^12*s^8*t^2 - 433*r^12*s^7*t^3 + 96*r^11*s^8*t^3 + 429*r^11*s^7*t^4 - 327*r^10*s^8*t^4 - 255*r^10*s^7*t^5 + 46*r^9*s^8*t^5 + 49*r^9*s^7*t^6 - 57*r^8*s^8*t^6 - 246*r^7*s^8*t^7 + 183*r^6*s^8*t^8 - 90*r^5*s^8*t^9 + 24*r^4*s^8*t^10 - 2*r^3*s^8*t^11 - 12*r^14*s^6*t + 81*r^13*s^7*t + 10*r^12*s^8*t - 24*r^13*s^6*t^2 + 56*r^12*s^7*t^2 - 120*r^11*s^8*t^2 + 21*r^12*s^6*t^3 - 309*r^11*s^7*t^3 + 318*r^10*s^8*t^3 + 231*r^10*s^7*t^4 - 172*r^9*s^8*t^4 + 324*r^9*s^7*t^5 + 36*r^8*s^8*t^5 - 429*r^8*s^7*t^6 + 684*r^7*s^8*t^6 + 264*r^7*s^7*t^7 - 552*r^6*s^8*t^7 - 62*r^6*s^7*t^8 + 354*r^5*s^8*t^8 + 12*r^4*s^8*t^9 - 116*r^3*s^8*t^10 + 66*r^2*s^8*t^11 - 18*r*s^8*t^12 + 2*s^8*t^13 + 2*r^15*s^5 + 39*r^13*s^7 + 60*r^13*s^6*t - 132*r^12*s^7*t - 156*r^12*s^6*t^2 - 228*r^11*s^7*t^2 + 24*r^10*s^8*t^2 + 381*r^11*s^6*t^3 + 492*r^10*s^7*t^3 - 71*r^9*s^8*t^3 - 339*r^10*s^6*t^4 - 254*r^9*s^7*t^4 + 96*r^8*s^8*t^4 + 80*r^9*s^6*t^5 + 387*r^8*s^7*t^5 - 327*r^7*s^8*t^5 - 1314*r^7*s^7*t^6 + 46*r^6*s^8*t^6 + 1202*r^6*s^7*t^7 - 57*r^5*s^8*t^7 - 582*r^5*s^7*t^8 - 246*r^4*s^8*t^8 + 153*r^4*s^7*t^9 + 183*r^3*s^8*t^9 - 15*r^3*s^7*t^10 - 90*r^2*s^8*t^10 + 24*r*s^8*t^11 - 2*s^8*t^12 + 45*r^13*s^6 - 13*r^12*s^7 - 24*r^13*s^5*t - 164*r^12*s^6*t - 99*r^11*s^7*t + 25*r^12*s^5*t^2 + 18*r^11*s^6*t^2 + 744*r^10*s^7*t^2 - 13*r^9*s^8*t^2 + 48*r^10*s^6*t^3 - 977*r^9*s^7*t^3 + 66*r^8*s^8*t^3 + 397*r^9*s^6*t^4 + 459*r^8*s^7*t^4 - 177*r^7*s^8*t^4 - 627*r^8*s^6*t^5 + 18*r^7*s^7*t^5 + 321*r^6*s^8*t^5 + 456*r^7*s^6*t^6 - 297*r^6*s^7*t^6 - 129*r^5*s^8*t^6 - 129*r^6*s^6*t^7 + 927*r^5*s^7*t^7 + 63*r^4*s^8*t^7 - 444*r^4*s^7*t^8 + 197*r^3*s^8*t^8 - 195*r^3*s^7*t^9 - 141*r^2*s^8*t^9 + 249*r^2*s^7*t^10 + 66*r*s^8*t^10 - 90*r*s^7*t^11 - 13*s^8*t^11 + 12*s^7*t^12 - 28*r^12*s^6 + 9*r^12*s^5*t - 75*r^11*s^6*t + 39*r^10*s^7*t + 111*r^11*s^5*t^2 + 717*r^10*s^6*t^2 - 132*r^9*s^7*t^2 - 237*r^10*s^5*t^3 - 932*r^9*s^6*t^3 - 228*r^8*s^7*t^3 + 78*r^9*s^5*t^4 + 675*r^8*s^6*t^4 + 492*r^7*s^7*t^4 + 15*r^6*s^8*t^4 - 2247*r^7*s^6*t^5 - 254*r^6*s^7*t^5 - 78*r^5*s^8*t^5 + 2840*r^6*s^6*t^6 + 387*r^5*s^7*t^6 + 147*r^4*s^8*t^6 - 1563*r^5*s^6*t^7 - 1314*r^4*s^7*t^7 - 262*r^3*s^8*t^7 + 447*r^4*s^6*t^8 + 1202*r^3*s^7*t^8 + 153*r^2*s^8*t^8 - 54*r^3*s^6*t^9 - 582*r^2*s^7*t^9 - 78*r*s^8*t^9 + 153*r*s^7*t^10 + 13*s^8*t^10 - 15*s^7*t^11 - 6*r^13*s^4 - 15*r^12*s^5 + 13*r^12*s^4*t + 30*r^11*s^5*t + 168*r^10*s^6*t - 105*r^10*s^5*t^2 - 614*r^9*s^6*t^2 + 429*r^9*s^5*t^3 + 348*r^8*s^6*t^3 + 81*r^7*s^7*t^3 - 591*r^8*s^5*t^4 + 36*r^7*s^6*t^4 + 56*r^6*s^7*t^4 + 456*r^7*s^5*t^5 + 852*r^6*s^6*t^5 - 309*r^5*s^7*t^5 - 158*r^6*s^5*t^6 + 546*r^5*s^6*t^6 + 231*r^4*s^7*t^6 - 1614*r^4*s^6*t^7 + 324*r^3*s^7*t^7 + 12*r^2*s^8*t^7 + 516*r^3*s^6*t^8 - 429*r^2*s^7*t^8 + 6*r*s^8*t^8 + 216*r^2*s^6*t^9 + 264*r*s^7*t^9 + 2*s^8*t^9 - 156*r*s^6*t^10 - 62*s^7*t^10 + 28*s^6*t^11 + 2*r^12*s^4 + 6*r^11*s^4*t + 144*r^10*s^5*t - 28*r^9*s^6*t - 87*r^10*s^4*t^2 - 396*r^9*s^5*t^2 - 75*r^8*s^6*t^2 + 49*r^9*s^4*t^3 + 315*r^8*s^5*t^3 + 717*r^7*s^6*t^3 - 15*r^6*s^7*t^3 - 1473*r^7*s^5*t^4 - 932*r^6*s^6*t^4 - 36*r^5*s^7*t^4 + 3068*r^6*s^5*t^5 + 675*r^5*s^6*t^5 + 195*r^4*s^7*t^5 - 2202*r^5*s^5*t^6 - 2247*r^4*s^6*t^6 - 433*r^3*s^7*t^6 + 762*r^4*s^5*t^7 + 2840*r^3*s^6*t^7 + 429*r^2*s^7*t^7 - 117*r^3*s^5*t^8 - 1563*r^2*s^6*t^8 - 255*r*s^7*t^8 - 2*s^8*t^8 + 447*r*s^6*t^9 + 49*s^7*t^9 - 54*s^6*t^10 + 2*r^12*s^3 + 3*r^10*s^4*t - 61*r^9*s^5*t + 158*r^9*s^4*t^2 - 27*r^8*s^5*t^2 + 45*r^7*s^6*t^2 - 312*r^8*s^4*t^3 + 384*r^7*s^5*t^3 - 164*r^6*s^6*t^3 + 282*r^7*s^4*t^4 + 530*r^6*s^5*t^4 + 18*r^5*s^6*t^4 - 127*r^6*s^4*t^5 - 372*r^5*s^5*t^5 + 48*r^4*s^6*t^5 + 8*r^3*s^7*t^5 - 1986*r^4*s^5*t^6 + 397*r^3*s^6*t^6 + 1681*r^3*s^5*t^7 - 627*r^2*s^6*t^7 - 345*r^2*s^5*t^8 + 456*r*s^6*t^8 + 9*s^7*t^8 - 54*r*s^5*t^9 - 129*s^6*t^9 + 28*s^5*t^10 - 12*r^10*s^3*t - 36*r^9*s^4*t + 17*r^9*s^3*t^2 - 12*r^8*s^4*t^2 + 144*r^7*s^5*t^2 - 249*r^7*s^4*t^3 - 396*r^6*s^5*t^3 + 1499*r^6*s^4*t^4 + 315*r^5*s^5*t^4 + 60*r^4*s^6*t^4 - 1698*r^5*s^4*t^5 - 1473*r^4*s^5*t^5 - 156*r^3*s^6*t^5 + 798*r^4*s^4*t^6 + 3068*r^3*s^5*t^6 + 381*r^2*s^6*t^6 - 160*r^3*s^4*t^7 - 2202*r^2*s^5*t^7 - 339*r*s^6*t^7 - 2*s^7*t^7 + 762*r*s^5*t^8 + 80*s^6*t^8 - 117*s^5*t^9 - r^9*s^3*t - 60*r^8*s^3*t^2 + 132*r^7*s^4*t^2 - 15*r^6*s^5*t^2 + 96*r^7*s^3*t^3 - 24*r^6*s^4*t^3 + 30*r^5*s^5*t^3 - 66*r^6*s^3*t^4 - 492*r^5*s^4*t^4 - 105*r^4*s^5*t^4 - 900*r^4*s^4*t^5 + 429*r^3*s^5*t^5 - 12*r^2*s^6*t^5 + 1728*r^3*s^4*t^6 - 591*r^2*s^5*t^6 - 24*r*s^6*t^6 - 870*r^2*s^4*t^7 + 456*r*s^5*t^7 + 21*s^6*t^7 + 180*r*s^4*t^8 - 158*s^5*t^8 + 2*r^9*s^2*t + 45*r^7*s^3*t^2 - 36*r^6*s^4*t^2 + 242*r^6*s^3*t^3 - 12*r^5*s^4*t^3 - 672*r^5*s^3*t^4 - 249*r^4*s^4*t^4 + 9*r^3*s^5*t^4 + 501*r^4*s^3*t^5 + 1499*r^3*s^4*t^5 + 111*r^2*s^5*t^5 - 137*r^3*s^3*t^6 - 1698*r^2*s^4*t^6 - 237*r*s^5*t^6 + 2*s^6*t^6 + 798*r*s^4*t^7 + 78*s^5*t^7 - 160*s^4*t^8 + 12*r^7*s^2*t^2 - 29*r^6*s^3*t^2 - 19*r^6*s^2*t^3 - 147*r^5*s^3*t^3 + 3*r^4*s^4*t^3 - 6*r^4*s^3*t^4 + 158*r^3*s^4*t^4 + 747*r^3*s^3*t^5 - 312*r^2*s^4*t^5 - 24*r*s^5*t^5 - 729*r^2*s^3*t^6 + 282*r*s^4*t^6 + 25*s^5*t^6 + 282*r*s^3*t^7 - 127*s^4*t^7 - 28*s^3*t^8 - 10*r^6*s^2*t^2 - 105*r^5*s^2*t^3 + 45*r^4*s^3*t^3 + 2*r^3*s^4*t^3 + 171*r^4*s^2*t^4 + 242*r^3*s^3*t^4 + 6*r^2*s^4*t^4 - 70*r^3*s^2*t^5 - 672*r^2*s^3*t^5 - 87*r*s^4*t^5 + 2*s^5*t^5 + 501*r*s^3*t^6 + 49*s^4*t^6 - 137*s^3*t^7 - 2*r^6*s*t^2 + 66*r^4*s^2*t^3 - r^3*s^3*t^3 + 96*r^3*s^2*t^4 - 60*r^2*s^3*t^4 - 6*r*s^4*t^4 - 276*r^2*s^2*t^5 + 96*r*s^3*t^5 + 13*s^4*t^5 + 180*r*s^2*t^6 - 66*s^3*t^6 - 28*s^2*t^7 + 24*r^4*s*t^3 - 10*r^3*s^2*t^3 - 19*r^3*s*t^4 - 105*r^2*s^2*t^4 - 12*r*s^3*t^4 + 171*r*s^2*t^5 + 17*s^3*t^5 - 70*s^2*t^6 - 9*r^3*s*t^3 - 39*r^2*s*t^4 + 12*r*s^2*t^4 + 2*s^3*t^4 + 54*r*s*t^5 - 19*s^2*t^5 - 12*s*t^6 - 2*r^3*t^3 + 24*r*s*t^4 + 2*s^2*t^4 - 19*s*t^5 + 6*r*t^4 - 2*s*t^4 - 2*t^5 - 2*t^4) * k1^3+  (48) * s * (r^16*s^7*t^2 + 2*r^15*s^7*t^3 - 3*r^14*s^7*t^4 + 13*r^16*s^7*t - 58*r^15*s^7*t^2 + 75*r^14*s^7*t^3 - 67*r^13*s^7*t^4 + 40*r^12*s^7*t^5 - 3*r^11*s^7*t^6 - 23*r^16*s^7 + 6*r^16*s^6*t + 119*r^15*s^7*t - 4*r^15*s^6*t^2 - 321*r^14*s^7*t^2 - 5*r^14*s^6*t^3 + 604*r^13*s^7*t^3 - 568*r^12*s^7*t^4 + 276*r^11*s^7*t^5 - 56*r^10*s^7*t^6 - 43*r^9*s^7*t^7 + 12*r^8*s^7*t^8 - 13*r^16*s^6 - 22*r^15*s^6*t + 60*r^14*s^7*t + 82*r^14*s^6*t^2 - 209*r^13*s^7*t^2 - 91*r^13*s^6*t^3 + 242*r^12*s^7*t^3 + 78*r^12*s^6*t^4 - 273*r^11*s^7*t^4 - 6*r^11*s^6*t^5 - 15*r^10*s^7*t^5 + 327*r^9*s^7*t^6 - 255*r^8*s^7*t^7 + 146*r^7*s^7*t^8 - 20*r^6*s^7*t^9 - 3*r^5*s^7*t^10 + r^16*s^5 - 6*r^15*s^5*t + 4*r^14*s^6*t + 14*r^13*s^7*t - r^14*s^5*t^2 + 426*r^13*s^6*t^2 - 218*r^12*s^7*t^2 - 1028*r^12*s^6*t^3 + 720*r^11*s^7*t^3 + 734*r^11*s^6*t^4 - 809*r^10*s^7*t^4 - 135*r^10*s^6*t^5 + 437*r^9*s^7*t^5 - 169*r^9*s^6*t^6 + 414*r^8*s^7*t^6 + 52*r^8*s^6*t^7 - 964*r^7*s^7*t^7 + 619*r^6*s^7*t^8 - 240*r^5*s^7*t^9 + 13*r^4*s^7*t^10 + 17*r^3*s^7*t^11 - 3*r^2*s^7*t^12 + 69*r^14*s^6 + 2*r^14*s^5*t - 229*r^13*s^6*t + 2*r^13*s^5*t^2 - 50*r^12*s^6*t^2 + 36*r^11*s^7*t^2 + 10*r^12*s^5*t^3 + 116*r^11*s^6*t^3 - 132*r^10*s^7*t^3 + 8*r^11*s^5*t^4 + 519*r^10*s^6*t^4 + 279*r^9*s^7*t^4 + 106*r^9*s^6*t^5 - 867*r^8*s^7*t^5 - 817*r^8*s^6*t^6 + 1076*r^7*s^7*t^6 + 720*r^7*s^6*t^7 - 695*r^6*s^7*t^7 - 142*r^6*s^6*t^8 + 141*r^5*s^7*t^8 - 12*r^5*s^6*t^9 + 374*r^4*s^7*t^9 - 323*r^3*s^7*t^10 + 144*r^2*s^7*t^11 - 37*r*s^7*t^12 + 4*s^7*t^13 + 39*r^14*s^5 - 23*r^13*s^6 + r^14*s^4*t - 73*r^13*s^5*t - 178*r^12*s^6*t - 203*r^12*s^5*t^2 + 1196*r^11*s^6*t^2 - 23*r^10*s^7*t^2 + 391*r^11*s^5*t^3 - 1872*r^10*s^6*t^3 + 143*r^9*s^7*t^3 + 90*r^10*s^5*t^4 + 1326*r^9*s^6*t^4 - 438*r^8*s^7*t^4 - 372*r^9*s^5*t^5 - 873*r^8*s^6*t^5 + 861*r^7*s^7*t^5 + 112*r^8*s^5*t^6 - 653*r^7*s^6*t^6 - 783*r^6*s^7*t^6 + 1500*r^6*s^6*t^7 + 468*r^5*s^7*t^7 - 1094*r^5*s^6*t^8 - 178*r^4*s^7*t^8 + 191*r^4*s^6*t^9 - 80*r^3*s^7*t^9 + 63*r^3*s^6*t^10 + 39*r^2*s^7*t^10 - 17*r^2*s^6*t^11 - 12*r*s^7*t^11 + 3*s^7*t^12 - 3*r^14*s^4 - 36*r^13*s^5 + 23*r^13*s^4*t - 20*r^12*s^5*t + 69*r^11*s^6*t - 46*r^12*s^4*t^2 + 448*r^11*s^5*t^2 - 169*r^10*s^6*t^2 + 26*r^11*s^4*t^3 - 189*r^10*s^5*t^3 - 332*r^9*s^6*t^3 - 200*r^9*s^5*t^4 + 551*r^8*s^6*t^4 + 24*r^7*s^7*t^4 - 1105*r^8*s^5*t^5 + 603*r^7*s^6*t^5 - 156*r^6*s^7*t^5 + 1545*r^7*s^5*t^6 - 390*r^6*s^6*t^6 + 390*r^5*s^7*t^6 - 458*r^6*s^5*t^7 - 724*r^5*s^6*t^7 - 716*r^4*s^7*t^7 - 7*r^5*s^5*t^8 + 1724*r^4*s^6*t^8 + 719*r^3*s^7*t^8 - 1384*r^3*s^6*t^9 - 381*r^2*s^7*t^9 + 669*r^2*s^6*t^10 + 143*r*s^7*t^10 - 193*r*s^6*t^11 - 23*s^7*t^11 + 24*s^6*t^12 - 12*r^13*s^4 + 41*r^12*s^4*t + 247*r^11*s^5*t - 78*r^11*s^4*t^2 - 988*r^10*s^5*t^2 + 300*r^10*s^4*t^3 + 1014*r^9*s^5*t^3 + 16*r^8*s^6*t^3 - 466*r^9*s^4*t^4 - 1084*r^8*s^5*t^4 + 414*r^7*s^6*t^4 + 152*r^8*s^4*t^5 + 1055*r^7*s^5*t^5 - 1168*r^6*s^6*t^5 + 1006*r^6*s^5*t^6 + 1028*r^5*s^6*t^6 + 3*r^4*s^7*t^6 - 1985*r^5*s^5*t^7 - 770*r^4*s^6*t^7 + 9*r^3*s^7*t^7 + 719*r^4*s^5*t^8 + 272*r^3*s^6*t^8 + 12*r^2*s^7*t^8 + 47*r^3*s^5*t^9 - 125*r^2*s^6*t^9 - 27*r*s^7*t^9 - 39*r^2*s^5*t^10 + 19*r*s^6*t^10 + 3*s^7*t^10 + 6*s^6*t^11 + r^13*s^3 - 18*r^12*s^3*t + 102*r^11*s^4*t - 47*r^10*s^5*t + 19*r^11*s^3*t^2 - 257*r^10*s^4*t^2 - 120*r^9*s^5*t^2 + 138*r^9*s^4*t^3 + 1096*r^8*s^5*t^3 - 24*r^7*s^6*t^3 - 759*r^8*s^4*t^4 - 1245*r^7*s^5*t^4 - 44*r^6*s^6*t^4 + 1680*r^7*s^4*t^5 + 1425*r^6*s^5*t^5 + 391*r^5*s^6*t^5 - 770*r^6*s^4*t^6 - 2677*r^5*s^5*t^6 - 1043*r^4*s^6*t^6 + 36*r^5*s^4*t^7 + 3250*r^4*s^5*t^7 + 1684*r^3*s^6*t^7 - 2445*r^3*s^5*t^8 - 1326*r^2*s^6*t^8 - 4*r*s^7*t^8 + 1256*r^2*s^5*t^9 + 612*r*s^6*t^9 + 4*s^7*t^9 - 407*r*s^5*t^10 - 114*s^6*t^10 + 60*s^5*t^11 - 9*r^11*s^3*t - 74*r^10*s^4*t + 130*r^10*s^3*t^2 + 147*r^9*s^4*t^2 + 72*r^8*s^5*t^2 - 277*r^9*s^3*t^3 - 166*r^8*s^4*t^3 - 204*r^7*s^5*t^3 + 124*r^8*s^3*t^4 + 685*r^7*s^4*t^4 - 158*r^6*s^5*t^4 + 60*r^6*s^4*t^5 + 163*r^5*s^5*t^5 + 22*r^4*s^6*t^5 - 1788*r^5*s^4*t^6 - 641*r^4*s^5*t^6 - 42*r^3*s^6*t^6 + 1209*r^4*s^4*t^7 + 1081*r^3*s^5*t^7 + 22*r^2*s^6*t^7 - 111*r^3*s^4*t^8 - 749*r^2*s^5*t^8 - 37*r*s^6*t^8 - 45*r^2*s^4*t^9 + 222*r*s^5*t^9 - 18*s^5*t^10 + 4*r^11*s^2*t - 28*r^10*s^3*t + 51*r^9*s^3*t^2 + 162*r^8*s^4*t^2 - 206*r^8*s^3*t^3 - 638*r^7*s^4*t^3 + 870*r^7*s^3*t^4 + 1320*r^6*s^4*t^4 + 92*r^5*s^5*t^4 - 682*r^6*s^3*t^5 - 2622*r^5*s^4*t^5 - 323*r^4*s^5*t^5 + 79*r^5*s^3*t^6 + 3056*r^4*s^4*t^6 + 1381*r^3*s^5*t^6 - 2304*r^3*s^4*t^7 - 1813*r^2*s^5*t^7 - 4*r*s^6*t^7 + 1221*r^2*s^4*t^8 + 1065*r*s^5*t^8 + 8*s^6*t^8 - 435*r*s^4*t^9 - 236*s^5*t^9 + 80*s^4*t^10 - r^10*s^2*t - 57*r^9*s^2*t^2 + 59*r^8*s^3*t^2 - 21*r^7*s^4*t^2 + 52*r^8*s^2*t^3 + 5*r^7*s^3*t^3 + 111*r^6*s^4*t^3 - 95*r^6*s^3*t^4 - 360*r^5*s^4*t^4 + 3*r^4*s^5*t^4 - 774*r^5*s^3*t^5 + 176*r^4*s^4*t^5 - 43*r^3*s^5*t^5 + 1025*r^4*s^3*t^6 + 1013*r^3*s^4*t^6 - 28*r^2*s^5*t^6 - 249*r^3*s^3*t^7 - 1111*r^2*s^4*t^7 + 31*r*s^5*t^7 - 25*r^2*s^3*t^8 + 458*r*s^4*t^8 - 21*s^5*t^8 - 75*s^4*t^9 + 10*r^8*s^2*t^2 - 36*r^7*s^3*t^2 + 156*r^7*s^2*t^3 + 164*r^6*s^3*t^3 - 9*r^5*s^4*t^3 - 296*r^6*s^2*t^4 - 818*r^5*s^3*t^4 + 11*r^4*s^4*t^4 + 68*r^5*s^2*t^5 + 1384*r^4*s^3*t^5 + 466*r^3*s^4*t^5 - 1237*r^3*s^3*t^6 - 1207*r^2*s^4*t^6 + 4*r*s^5*t^6 + 664*r^2*s^3*t^7 + 957*r*s^4*t^7 + 4*s^5*t^7 - 235*r*s^3*t^8 - 264*s^4*t^8 + 60*s^3*t^9 + 8*r^8*s*t^2 - 20*r^7*s^2*t^2 - 30*r^6*s^2*t^3 - 51*r^5*s^3*t^3 - 94*r^5*s^2*t^4 + 231*r^4*s^3*t^4 + 419*r^4*s^2*t^5 + 271*r^3*s^3*t^5 - 50*r^2*s^4*t^5 - 199*r^3*s^2*t^6 - 674*r^2*s^3*t^6 + 69*r*s^4*t^6 - 3*r^2*s^2*t^7 + 412*r*s^3*t^7 - 33*s^4*t^7 - 105*s^3*t^8 - 5*r^7*s*t^2 - 48*r^6*s*t^3 - 8*r^5*s^2*t^3 + 7*r^4*s^3*t^3 + 27*r^5*s*t^4 + 224*r^4*s^2*t^4 + 50*r^3*s^3*t^4 - 360*r^3*s^2*t^5 - 374*r^2*s^3*t^5 + 4*r*s^4*t^5 + 215*r^2*s^2*t^6 + 456*r*s^3*t^6 - 47*r*s^2*t^7 - 171*s^3*t^7 + 24*s^2*t^8 + 23*r^5*s*t^3 + 6*r^4*s^2*t^3 + 59*r^4*s*t^4 - 13*r^3*s^2*t^4 - 12*r^2*s^3*t^4 - 71*r^3*s*t^5 - 152*r^2*s^2*t^5 + 32*r*s^3*t^5 + 3*r^2*s*t^6 + 171*r*s^2*t^6 - 18*s^3*t^6 - 72*s^2*t^7 + 4*r^5*t^3 - 4*r^4*s*t^3 - 43*r^3*s*t^4 - 35*r^2*s^2*t^4 + 48*r^2*s*t^5 + 99*r*s^2*t^5 + 7*r*s*t^6 - 62*s^2*t^6 + 4*s*t^7 - 3*r^4*t^3 - 9*r^3*t^4 - 4*r^2*s*t^4 + 4*r*s^2*t^4 + r^2*t^5 + 26*r*s*t^5 - 3*s^2*t^5 - 24*s*t^6 + 7*r^2*t^4 + 4*r*s*t^4 + 3*r*t^5 - 10*s*t^5 - 3*t^5) * k0*k1^2+  (-48) * s * (r^17*s^7*t^2 - r^16*s^7*t^3 - 11*r^17*s^7*t + 38*r^16*s^7*t^2 - 54*r^15*s^7*t^3 + 29*r^14*s^7*t^4 - 2*r^13*s^7*t^5 + 37*r^17*s^7 + 2*r^17*s^6*t - 172*r^16*s^7*t - 2*r^16*s^6*t^2 + 387*r^15*s^7*t^2 - 536*r^14*s^7*t^3 + 461*r^13*s^7*t^4 - 186*r^12*s^7*t^5 + 7*r^11*s^7*t^6 + 2*r^10*s^7*t^7 + 11*r^17*s^6 + 16*r^16*s^6*t - 144*r^15*s^7*t - 114*r^15*s^6*t^2 + 571*r^14*s^7*t^2 + 97*r^14*s^6*t^3 - 907*r^13*s^7*t^3 - 11*r^13*s^6*t^4 + 711*r^12*s^7*t^4 - 198*r^11*s^7*t^5 - 225*r^10*s^7*t^6 + 231*r^9*s^7*t^7 - 37*r^8*s^7*t^8 - 2*r^7*s^7*t^9 + r^17*s^5 - r^16*s^5*t + 42*r^15*s^6*t - 10*r^14*s^7*t - 465*r^14*s^6*t^2 + 340*r^13*s^7*t^2 + 1199*r^13*s^6*t^3 - 1233*r^12*s^7*t^3 - 936*r^12*s^6*t^4 + 1726*r^11*s^7*t^4 + 170*r^11*s^6*t^5 - 976*r^10*s^7*t^5 - 2*r^10*s^6*t^6 - 117*r^9*s^7*t^6 + 665*r^8*s^7*t^7 - 482*r^7*s^7*t^8 + 90*r^6*s^7*t^9 - 5*r^5*s^7*t^10 + 2*r^4*s^7*t^11 - 111*r^15*s^6 - 27*r^15*s^5*t + 434*r^14*s^6*t + 72*r^14*s^5*t^2 - 660*r^13*s^6*t^2 - 48*r^12*s^7*t^2 - 14*r^13*s^5*t^3 + 927*r^12*s^6*t^3 + 129*r^11*s^7*t^3 - 1881*r^11*s^6*t^4 - 396*r^10*s^7*t^4 + 1282*r^10*s^6*t^5 + 1521*r^9*s^7*t^5 + 81*r^9*s^6*t^6 - 2890*r^8*s^7*t^6 - 100*r^8*s^6*t^7 + 2692*r^7*s^7*t^7 - 1359*r^6*s^7*t^8 + 266*r^5*s^7*t^9 + 154*r^4*s^7*t^10 - 75*r^3*s^7*t^11 + 5*r^2*s^7*t^12 + r*s^7*t^13 - 33*r^15*s^5 + 37*r^14*s^6 + 62*r^14*s^5*t + 281*r^13*s^6*t + 389*r^13*s^5*t^2 - 1776*r^12*s^6*t^2 + 37*r^11*s^7*t^2 - 924*r^12*s^5*t^3 + 3522*r^11*s^6*t^3 - 268*r^10*s^7*t^3 + 338*r^11*s^5*t^4 - 3242*r^10*s^6*t^4 + 957*r^9*s^7*t^4 - 16*r^10*s^5*t^5 + 2751*r^9*s^6*t^5 - 1944*r^8*s^7*t^5 - 1451*r^8*s^6*t^6 + 2217*r^7*s^7*t^6 - 174*r^7*s^6*t^7 - 1584*r^6*s^7*t^7 + 120*r^6*s^6*t^8 + 1103*r^5*s^7*t^8 - 29*r^5*s^6*t^9 - 776*r^4*s^7*t^9 + 17*r^4*s^6*t^10 + 396*r^3*s^7*t^10 - 186*r^2*s^7*t^11 + 54*r*s^7*t^12 - 6*s^7*t^13 - 3*r^15*s^4 + 48*r^14*s^5 + 5*r^14*s^4*t - 147*r^13*s^5*t - 111*r^12*s^6*t - 3*r^13*s^4*t^2 - 15*r^12*s^5*t^2 + 158*r^11*s^6*t^2 - 896*r^11*s^5*t^3 + 530*r^10*s^6*t^3 + 2206*r^10*s^5*t^4 - 849*r^9*s^6*t^4 - 33*r^8*s^7*t^4 - 699*r^9*s^5*t^5 - 2097*r^8*s^6*t^5 + 246*r^7*s^7*t^5 - 61*r^8*s^5*t^6 + 3648*r^7*s^6*t^6 - 819*r^6*s^7*t^6 + 18*r^7*s^5*t^7 - 1863*r^6*s^6*t^7 + 1669*r^5*s^7*t^7 + 5*r^5*s^6*t^8 - 2059*r^4*s^7*t^8 + 879*r^4*s^6*t^9 + 1422*r^3*s^7*t^9 - 408*r^3*s^6*t^10 - 547*r^2*s^7*t^10 + 31*r^2*s^6*t^11 + 139*r*s^7*t^11 + 7*r*s^6*t^12 - 18*s^7*t^12 + 12*r^14*s^4 - 3*r^13*s^4*t - 342*r^12*s^5*t - 159*r^12*s^4*t^2 + 1719*r^11*s^5*t^2 + 185*r^11*s^4*t^3 - 2542*r^10*s^5*t^3 + 222*r^9*s^6*t^3 - 16*r^10*s^4*t^4 + 3303*r^9*s^5*t^4 - 1339*r^8*s^6*t^4 - 4081*r^8*s^5*t^5 + 3341*r^7*s^6*t^5 + 1574*r^7*s^5*t^6 - 3573*r^6*s^6*t^6 - 9*r^5*s^7*t^6 - 228*r^6*s^5*t^7 + 3418*r^5*s^6*t^7 + 33*r^4*s^7*t^7 - 52*r^5*s^5*t^8 - 3414*r^4*s^6*t^8 - 96*r^3*s^7*t^8 + 53*r^4*s^5*t^9 + 2175*r^3*s^6*t^9 + 156*r^2*s^7*t^9 - 1052*r^2*s^6*t^10 - 102*r*s^7*t^10 + 317*r*s^6*t^11 + 18*s^7*t^11 - 39*s^6*t^12 + r^14*s^3 + 2*r^13*s^3*t - 69*r^12*s^4*t + 70*r^11*s^5*t + 88*r^11*s^4*t^2 + 178*r^10*s^5*t^2 + 629*r^10*s^4*t^3 - 1761*r^9*s^5*t^3 + 33*r^8*s^6*t^3 - 666*r^9*s^4*t^4 + 2007*r^8*s^5*t^4 + 20*r^7*s^6*t^4 + 38*r^8*s^4*t^5 - 1157*r^7*s^5*t^5 - 729*r^6*s^6*t^5 + 32*r^7*s^4*t^6 + 1884*r^6*s^5*t^6 + 2355*r^5*s^6*t^6 - 1925*r^5*s^5*t^7 - 4490*r^4*s^6*t^7 + 1948*r^4*s^5*t^8 + 4428*r^3*s^6*t^8 + 5*r^2*s^7*t^8 - 906*r^3*s^5*t^9 - 2199*r^2*s^6*t^9 - 11*r*s^7*t^9 + 81*r^2*s^5*t^10 + 644*r*s^6*t^10 + 6*s^7*t^10 + 21*r*s^5*t^11 - 90*s^6*t^11 - 9*r^12*s^3*t + 98*r^11*s^4*t + 13*r^11*s^3*t^2 - 497*r^10*s^4*t^2 - 99*r^9*s^5*t^2 - 2*r^10*s^3*t^3 + 936*r^9*s^4*t^3 + 142*r^8*s^5*t^3 - 2170*r^8*s^4*t^4 + 832*r^7*s^5*t^4 + 1666*r^7*s^4*t^5 - 1614*r^6*s^5*t^5 - 38*r^5*s^6*t^5 - 447*r^6*s^4*t^6 + 3205*r^5*s^5*t^6 + 160*r^4*s^6*t^6 - 29*r^5*s^4*t^7 - 5538*r^4*s^5*t^7 - 240*r^3*s^6*t^7 + 80*r^4*s^4*t^8 + 4677*r^3*s^5*t^8 + 373*r^2*s^6*t^8 - 2452*r^2*s^5*t^9 - 319*r*s^6*t^9 + 779*r*s^5*t^10 + 72*s^6*t^10 - 108*s^5*t^11 + 31*r^11*s^3*t + 2*r^10*s^3*t^2 - 174*r^9*s^4*t^2 - 126*r^9*s^3*t^3 + 1222*r^8*s^4*t^3 + 47*r^8*s^3*t^4 - 2397*r^7*s^4*t^4 - 129*r^6*s^5*t^4 + 18*r^7*s^3*t^5 + 3921*r^6*s^4*t^5 + 798*r^5*s^5*t^5 - 3227*r^5*s^4*t^6 - 3382*r^4*s^5*t^6 + 2141*r^4*s^4*t^7 + 5262*r^3*s^5*t^7 + 5*r^2*s^6*t^7 - 1044*r^3*s^4*t^8 - 3559*r^2*s^5*t^8 - 27*r*s^6*t^8 + 115*r^2*s^4*t^9 + 1224*r*s^5*t^9 + 21*s^6*t^9 + 35*r*s^4*t^10 - 180*s^5*t^10 + 3*r^11*s^2*t + 2*r^10*s^2*t^2 - 21*r^9*s^3*t^2 + 24*r^8*s^4*t^2 - 253*r^8*s^3*t^3 - 231*r^7*s^4*t^3 + 432*r^7*s^3*t^4 + 294*r^6*s^4*t^4 - 9*r^5*s^5*t^4 - 183*r^6*s^3*t^5 + 627*r^5*s^4*t^5 + 103*r^4*s^5*t^5 + 11*r^5*s^3*t^6 - 3906*r^4*s^4*t^6 - 123*r^3*s^5*t^6 + 60*r^4*s^3*t^7 + 4950*r^3*s^4*t^7 + 258*r^2*s^5*t^7 - 3010*r^2*s^4*t^8 - 341*r*s^5*t^8 + 1030*r*s^4*t^9 + 108*s^5*t^9 - 165*s^4*t^10 - 9*r^9*s^2*t^2 + 45*r^8*s^3*t^2 + 14*r^8*s^2*t^3 - 356*r^7*s^3*t^3 + 27*r^6*s^4*t^3 + 1557*r^6*s^3*t^4 + 52*r^5*s^4*t^4 - 1986*r^5*s^3*t^5 - 1075*r^4*s^4*t^5 + 1215*r^4*s^3*t^6 + 2988*r^3*s^4*t^6 - 5*r^2*s^5*t^6 - 651*r^3*s^3*t^7 - 2960*r^2*s^4*t^7 - 21*r*s^5*t^7 + 95*r^2*s^3*t^8 + 1236*r*s^4*t^8 + 27*s^5*t^8 + 35*r*s^3*t^9 - 180*s^4*t^9 + 24*r^8*s^2*t^2 + 32*r^7*s^2*t^3 + 117*r^6*s^3*t^3 + 3*r^6*s^2*t^4 - 275*r^5*s^3*t^4 + 17*r^5*s^2*t^5 - 974*r^4*s^3*t^5 + 36*r^3*s^4*t^5 + 17*r^4*s^2*t^6 + 2598*r^3*s^3*t^6 + 16*r^2*s^4*t^6 - 2050*r^2*s^3*t^7 - 129*r*s^4*t^7 + 780*r*s^3*t^8 + 72*s^4*t^8 - 150*s^3*t^9 + 3*r^8*s*t^2 - 2*r^7*s*t^3 + 24*r^6*s^2*t^3 - 14*r^5*s^3*t^3 - 420*r^5*s^2*t^4 - 124*r^4*s^3*t^4 + 328*r^4*s^2*t^5 + 792*r^3*s^3*t^5 - 5*r^2*s^4*t^5 - 204*r^3*s^2*t^6 - 1311*r^2*s^3*t^6 - 5*r*s^4*t^6 + 45*r^2*s^2*t^7 + 719*r*s^3*t^7 + 15*s^4*t^7 + 21*r*s^2*t^8 - 90*s^3*t^8 - 3*r^6*s*t^3 - 12*r^5*s^2*t^3 + 6*r^5*s*t^4 + 32*r^4*s^2*t^4 + 15*r^3*s^3*t^4 - 3*r^4*s*t^5 + 555*r^3*s^2*t^5 - 30*r^2*s^3*t^5 - 736*r^2*s^2*t^6 - r*s^3*t^6 + 329*r*s^2*t^7 + 18*s^3*t^7 - 81*s^2*t^8 + 3*r^5*s*t^3 + 31*r^4*s*t^4 + 60*r^3*s^2*t^4 - 24*r^3*s*t^5 - 265*r^2*s^2*t^5 + 11*r^2*s*t^6 + 240*r*s^2*t^6 + 3*s^3*t^6 + 7*r*s*t^7 - 18*s^2*t^7 + r^5*t^3 - 2*r^4*t^4 + 9*r^3*s*t^4 - 5*r^2*s^2*t^4 - 112*r^2*s*t^5 + 4*r*s^2*t^5 + 67*r*s*t^6 - 24*s*t^7 - 7*r^2*s*t^4 + r^2*t^5 + 38*r*s*t^5 + r*t^6 - 2*r^2*t^4 + 4*r*t^5 - 3*t^6) * k0^2*k1+  (-16) * s * (-9*r^18*s^7*t + 18*r^17*s^7*t^2 - 9*r^16*s^7*t^3 + 63*r^18*s^7 + 4*r^18*s^6*t - 261*r^17*s^7*t + 495*r^16*s^7*t^2 - 477*r^15*s^7*t^3 + 198*r^14*s^7*t^4 - 18*r^13*s^7*t^5 + 9*r^18*s^6 + 18*r^17*s^6*t - 324*r^16*s^7*t - 99*r^16*s^6*t^2 + 1269*r^15*s^7*t^2 + 38*r^15*s^6*t^3 - 2133*r^14*s^7*t^3 + 1755*r^13*s^7*t^4 - 549*r^12*s^7*t^5 - 36*r^11*s^7*t^6 + 18*r^10*s^7*t^7 + 123*r^16*s^6*t + 18*r^15*s^7*t - 608*r^15*s^6*t^2 + 558*r^14*s^7*t^2 + 1104*r^14*s^6*t^3 - 2115*r^13*s^7*t^3 - 603*r^13*s^6*t^4 + 3150*r^12*s^7*t^4 + 116*r^12*s^6*t^5 - 2061*r^11*s^7*t^5 + 207*r^10*s^7*t^6 + 252*r^9*s^7*t^7 + 9*r^8*s^7*t^8 - 18*r^7*s^7*t^9 - 189*r^16*s^6 + 855*r^15*s^6*t + 44*r^15*s^5*t^2 - 2214*r^14*s^6*t^2 - 108*r^13*s^7*t^2 + 3735*r^13*s^6*t^3 + 90*r^12*s^7*t^3 - 4310*r^12*s^6*t^4 - 423*r^11*s^7*t^4 + 2643*r^11*s^6*t^5 + 2439*r^10*s^7*t^5 - 984*r^10*s^6*t^6 - 5193*r^9*s^7*t^6 + 152*r^9*s^6*t^7 + 5553*r^8*s^7*t^7 - 3060*r^7*s^7*t^8 + 828*r^6*s^7*t^9 - 144*r^5*s^7*t^10 + 18*r^4*s^7*t^11 - 27*r^16*s^5 + 63*r^15*s^6 + 47*r^15*s^5*t + 444*r^14*s^6*t + 243*r^14*s^5*t^2 - 2748*r^13*s^6*t^2 + 63*r^12*s^7*t^2 - 699*r^13*s^5*t^3 + 6579*r^12*s^6*t^3 - 477*r^11*s^7*t^3 + 260*r^12*s^5*t^4 - 8112*r^11*s^6*t^4 + 2034*r^10*s^7*t^4 + 6795*r^10*s^6*t^5 - 4266*r^9*s^7*t^5 - 4688*r^9*s^6*t^6 + 5049*r^8*s^7*t^6 + 3069*r^8*s^6*t^7 - 3861*r^7*s^7*t^7 - 1014*r^7*s^6*t^8 + 2322*r^6*s^7*t^8 + 116*r^6*s^6*t^9 - 1404*r^5*s^7*t^9 + 621*r^4*s^7*t^10 - 45*r^3*s^7*t^11 - 45*r^2*s^7*t^12 + 9*r*s^7*t^13 + 72*r^15*s^5 + 2*r^15*s^4*t - 522*r^14*s^5*t - 189*r^13*s^6*t + 1317*r^13*s^5*t^2 + 135*r^12*s^6*t^2 - 2707*r^12*s^5*t^3 + 906*r^11*s^6*t^3 + 3840*r^11*s^5*t^4 - 1554*r^10*s^6*t^4 - 54*r^9*s^7*t^4 - 2358*r^10*s^5*t^5 - 2874*r^9*s^6*t^5 + 324*r^8*s^7*t^5 + 500*r^9*s^5*t^6 + 7878*r^8*s^6*t^6 - 1485*r^7*s^7*t^6 - 5889*r^7*s^6*t^7 + 3573*r^6*s^7*t^7 + 535*r^6*s^6*t^8 - 4743*r^5*s^7*t^8 + 681*r^5*s^6*t^9 + 3681*r^4*s^7*t^9 - 255*r^4*s^6*t^10 - 1584*r^3*s^7*t^10 + 38*r^3*s^6*t^11 + 306*r^2*s^7*t^11 - 18*r*s^7*t^12 + 9*r^15*s^4 - 57*r^14*s^4*t - 513*r^13*s^5*t - 54*r^13*s^4*t^2 + 3157*r^12*s^5*t^2 + 156*r^12*s^4*t^3 - 6702*r^11*s^5*t^3 + 771*r^10*s^6*t^3 + 8577*r^10*s^5*t^4 - 3494*r^9*s^6*t^4 - 8949*r^9*s^5*t^5 + 7986*r^8*s^6*t^5 + 7566*r^8*s^5*t^6 - 9663*r^7*s^6*t^6 - 3240*r^7*s^5*t^7 + 7758*r^6*s^6*t^7 + 135*r^5*s^7*t^7 + 492*r^6*s^5*t^8 - 5307*r^5*s^6*t^8 - 432*r^4*s^7*t^8 + 3315*r^4*s^6*t^9 + 585*r^3*s^7*t^9 - 869*r^3*s^6*t^10 - 441*r^2*s^7*t^10 - 9*r^2*s^6*t^11 + 180*r*s^7*t^11 + 12*r*s^6*t^12 - 27*s^7*t^12 + 4*s^6*t^13 + 33*r^13*s^4*t + 117*r^12*s^5*t - 77*r^12*s^4*t^2 + 315*r^11*s^5*t^2 + 966*r^11*s^4*t^3 - 3141*r^10*s^5*t^3 + 54*r^9*s^6*t^3 - 1596*r^10*s^4*t^4 + 5102*r^9*s^5*t^4 - 132*r^8*s^6*t^4 + 572*r^9*s^4*t^5 - 2166*r^8*s^5*t^5 - 1116*r^7*s^6*t^5 - 150*r^7*s^5*t^6 + 4985*r^6*s^6*t^6 - 3677*r^6*s^5*t^7 - 9819*r^5*s^6*t^7 + 3726*r^5*s^5*t^8 + 10338*r^4*s^6*t^8 - 9*r^3*s^7*t^8 - 1320*r^4*s^5*t^9 - 6174*r^3*s^6*t^9 + 18*r^2*s^7*t^9 + 196*r^3*s^5*t^10 + 1761*r^2*s^6*t^10 - 9*r*s^7*t^10 - 222*r*s^6*t^11 + 13*s^6*t^12 + 6*r^13*s^3*t + 163*r^12*s^4*t + 16*r^12*s^3*t^2 - 1413*r^11*s^4*t^2 - 162*r^10*s^5*t^2 + 2742*r^10*s^4*t^3 - 82*r^9*s^5*t^3 - 4462*r^9*s^4*t^4 + 2577*r^8*s^5*t^4 + 5898*r^8*s^4*t^5 - 6378*r^7*s^5*t^5 - 44*r^6*s^6*t^5 - 3738*r^7*s^4*t^6 + 8541*r^6*s^5*t^6 + 396*r^5*s^6*t^6 + 792*r^6*s^4*t^7 - 7806*r^5*s^5*t^7 - 1092*r^4*s^6*t^7 + 6942*r^4*s^5*t^8 + 1691*r^3*s^6*t^8 - 3163*r^3*s^5*t^9 - 1299*r^2*s^6*t^9 + 570*r^2*s^5*t^10 + 576*r*s^6*t^10 - 87*r*s^5*t^11 - 96*s^6*t^11 + 24*s^5*t^12 + 41*r^12*s^3*t - 69*r^11*s^3*t^2 - 288*r^10*s^4*t^2 - 252*r^10*s^3*t^3 + 2940*r^9*s^4*t^3 + 260*r^9*s^3*t^4 - 5040*r^8*s^4*t^4 - 183*r^7*s^5*t^4 + 4998*r^7*s^4*t^5 + 1933*r^6*s^5*t^5 - 6451*r^6*s^4*t^6 - 6750*r^5*s^5*t^6 + 5781*r^5*s^4*t^7 + 10692*r^4*s^5*t^7 - 5*r^3*s^6*t^7 - 2364*r^4*s^4*t^8 - 9451*r^3*s^5*t^8 + 6*r^2*s^6*t^8 + 406*r^3*s^4*t^9 + 3987*r^2*s^5*t^9 - 48*r*s^6*t^9 - 789*r*s^5*t^10 + 13*s^6*t^10 + 67*s^5*t^11 + 4*r^12*s^2*t + 69*r^10*s^3*t^2 + 54*r^9*s^4*t^2 - 486*r^9*s^3*t^3 - 315*r^8*s^4*t^3 + 1509*r^8*s^3*t^4 - 972*r^7*s^4*t^4 - 1752*r^7*s^3*t^5 + 3302*r^6*s^4*t^5 + 177*r^5*s^5*t^5 + 588*r^6*s^3*t^6 - 5211*r^5*s^4*t^6 - 801*r^4*s^5*t^6 + 7134*r^4*s^4*t^7 + 1596*r^3*s^5*t^7 - 4946*r^3*s^4*t^8 - 1305*r^2*s^5*t^8 + 1488*r^2*s^4*t^9 + 567*r*s^5*t^9 + 4*s^6*t^9 - 300*r*s^4*t^10 - 86*s^5*t^10 + 60*s^4*t^11 - 12*r^10*s^2*t^2 + 106*r^9*s^3*t^2 + 44*r^9*s^2*t^3 - 843*r^8*s^3*t^3 + 2238*r^7*s^3*t^4 + 360*r^6*s^4*t^4 - 3826*r^6*s^3*t^5 - 1914*r^5*s^4*t^5 + 3975*r^5*s^3*t^6 + 5040*r^4*s^4*t^6 + 5*r^3*s^5*t^6 - 2004*r^4*s^3*t^7 - 7133*r^3*s^4*t^7 - 18*r^2*s^5*t^7 + 424*r^3*s^3*t^8 + 4557*r^2*s^4*t^8 - 66*r*s^5*t^8 - 1308*r*s^4*t^9 + 41*s^5*t^9 + 140*s^4*t^10 + 57*r^9*s^2*t^2 + 117*r^8*s^2*t^3 + 72*r^7*s^3*t^3 - 288*r^7*s^2*t^4 + 176*r^6*s^3*t^4 + 192*r^6*s^2*t^5 - 1158*r^5*s^3*t^5 - 168*r^4*s^4*t^5 + 3531*r^4*s^3*t^6 + 556*r^3*s^4*t^6 - 3873*r^3*s^3*t^7 - 495*r^2*s^4*t^7 + 1647*r^2*s^3*t^8 + 45*r*s^4*t^8 + 8*s^5*t^8 - 405*r*s^3*t^9 + 80*s^4*t^9 + 80*s^3*t^10 + 8*r^9*s*t^2 - 45*r^7*s^2*t^3 + 9*r^6*s^3*t^3 - 732*r^6*s^2*t^4 - 204*r^5*s^3*t^4 + 1242*r^5*s^2*t^5 + 1041*r^4*s^3*t^5 + 9*r^3*s^4*t^5 - 825*r^4*s^2*t^6 - 2685*r^3*s^3*t^6 - 6*r^2*s^4*t^6 + 226*r^3*s^2*t^7 + 2769*r^2*s^3*t^7 - 24*r*s^4*t^7 - 1152*r*s^3*t^8 + 45*s^4*t^8 + 150*s^3*t^9 - 30*r^7*s*t^3 + 15*r^6*s^2*t^3 + 24*r^6*s*t^4 + 150*r^5*s^2*t^4 - 27*r^4*s^3*t^4 + 579*r^4*s^2*t^5 + 75*r^3*s^3*t^5 - 1483*r^3*s^2*t^6 - 66*r^2*s^3*t^6 + 903*r^2*s^2*t^7 - 207*r*s^3*t^7 + 4*s^4*t^7 - 276*r*s^2*t^8 + 205*s^3*t^8 + 60*s^2*t^9 + 27*r^6*s*t^3 + 147*r^5*s*t^4 + 36*r^4*s^2*t^4 - 150*r^4*s*t^5 - 409*r^3*s^2*t^5 + 52*r^3*s*t^6 + 846*r^2*s^2*t^6 + 3*r*s^3*t^6 - 546*r*s^2*t^7 + 19*s^3*t^7 + 85*s^2*t^8 + 4*r^6*t^3 - 66*r^4*s*t^4 + 9*r^3*s^2*t^4 - 215*r^3*s*t^5 - 18*r^2*s^2*t^5 + 228*r^2*s*t^6 - 81*r*s^2*t^6 - 93*r*s*t^7 + 148*s^2*t^7 + 24*s*t^8 - 12*r^4*t^4 + 4*r^3*s*t^4 + 2*r^3*t^5 + 102*r^2*s*t^5 - 129*r*s*t^6 + 2*s^2*t^6 + 23*s*t^7 + 2*r^3*t^4 + 18*r^2*t^5 - 12*r*t^6 + 44*s*t^6 + 4*t^7 - 12*r*t^5 + 2*t^6 + 4*t^5) * k0^3;

j0 := (36) * s * (r^6*s^2 - 6*r^4*s^2*t + 2*r^3*s^2*t^2 + 2*r^3*s^2*t + 9*r^2*s^2*t^2 - 6*r*s^2*t^3 + s^2*t^4 - 3*r^4*s + 3*r^3*s*t - 6*r*s^2*t^2 + 2*s^2*t^3 + r^3*s + 6*r^2*s*t - 9*r*s*t^2 + s^2*t^2 + 2*s*t^3 + r^3 - 3*r*s*t + 3*s*t^2 - 3*r*t + t^2 + t) * (r^10*s^3 - 2*r^9*s^3*t + r^8*s^3*t^2 - 4*r^8*s^3*t + 8*r^7*s^3*t^2 - 4*r^6*s^3*t^3 + r^8*s^2*t + 7*r^6*s^3*t^2 - 16*r^5*s^3*t^3 + 12*r^4*s^3*t^4 - 4*r^3*s^3*t^5 + r^2*s^3*t^6 - 3*r^8*s^2 + 4*r^7*s^2*t - 5*r^6*s^2*t^2 - 2*r^5*s^3*t^2 + 4*r^4*s^3*t^3 - 4*r^3*s^3*t^4 + 4*r^2*s^3*t^5 - 2*r*s^3*t^6 + r^7*s^2 + 9*r^6*s^2*t - 18*r^5*s^2*t^2 + r^4*s^3*t^2 + 20*r^4*s^2*t^3 - 4*r^3*s^3*t^3 - 9*r^3*s^2*t^4 + 7*r^2*s^3*t^4 + 3*r^2*s^2*t^5 - 6*r*s^3*t^5 + 2*s^3*t^6 + r^7*s - r^6*s*t - 3*r^5*s^2*t - r^4*s^2*t^2 + 5*r^2*s^2*t^4 - 5*r*s^2*t^5 - 6*r^5*s*t + 9*r^4*s*t^2 - 6*r^3*s*t^3 + 6*r^2*s^2*t^3 + 3*r^2*s*t^4 - 10*r*s^2*t^4 + 5*s^2*t^5 + r^4*s*t + 3*r^3*s*t^2 - 4*r*s*t^4 + r^4*t - r^3*t^2 + r^2*t^3 - 4*r*s*t^3 + 4*s*t^4 - r^2*t^2 - r*t^3 + t^3);
j1 := (12) * s * (r^6*s^2 - 6*r^4*s^2*t + 2*r^3*s^2*t^2 + 2*r^3*s^2*t + 9*r^2*s^2*t^2 - 6*r*s^2*t^3 + s^2*t^4 - 3*r^4*s + 3*r^3*s*t - 6*r*s^2*t^2 + 2*s^2*t^3 + r^3*s + 6*r^2*s*t - 9*r*s*t^2 + s^2*t^2 + 2*s*t^3 + r^3 - 3*r*s*t + 3*s*t^2 - 3*r*t + t^2 + t) * (r^9*s^3 - 3*r^8*s^3*t + 3*r^7*s^3*t^2 - r^6*s^3*t^3 - 3*r^7*s^3*t + 8*r^6*s^3*t^2 - 6*r^5*s^3*t^3 + r^3*s^3*t^5 + 3*r^7*s^2*t - 2*r^6*s^2*t^2 + 6*r^5*s^3*t^2 - 18*r^4*s^3*t^3 + 18*r^3*s^3*t^4 - 6*r^2*s^3*t^5 - 3*r^7*s^2 + 2*r^6*s^2*t - 6*r^5*s^2*t^2 - 3*r^4*s^3*t^2 + 8*r^3*s^3*t^3 + 3*r^3*s^2*t^4 - 6*r^2*s^3*t^4 + s^3*t^6 + r^6*s^2 - r^6*s*t + 9*r^5*s^2*t - 18*r^4*s^2*t^2 + r^3*s^3*t^2 + 29*r^3*s^2*t^3 - 3*r^2*s^3*t^3 - 15*r^2*s^2*t^4 + 3*r*s^3*t^4 - s^3*t^5 + r^6*s - 3*r^4*s^2*t + 2*r^3*s^2*t^2 + 3*r^3*s*t^3 - 6*r^2*s^2*t^3 + 3*s^2*t^5 - 6*r^4*s*t + 12*r^3*s*t^2 - 12*r^2*s*t^3 + 3*r*s^2*t^3 - 2*s^2*t^4 + r^3*s*t + r^3*t^2 + 3*s*t^4 + r^3*t - 3*r^2*t^2 - s*t^3 + t^3);
j2 := (36) * s * (r^6*s^2 - 6*r^4*s^2*t + 2*r^3*s^2*t^2 + 2*r^3*s^2*t + 9*r^2*s^2*t^2 - 6*r*s^2*t^3 + s^2*t^4 - 3*r^4*s + 3*r^3*s*t - 6*r*s^2*t^2 + 2*s^2*t^3 + r^3*s + 6*r^2*s*t - 9*r*s*t^2 + s^2*t^2 + 2*s*t^3 + r^3 - 3*r*s*t + 3*s*t^2 - 3*r*t + t^2 + t) * (r^8*s^3 - 4*r^7*s^3*t + 7*r^6*s^3*t^2 - 6*r^5*s^3*t^3 + 2*r^4*s^3*t^4 - 2*r^6*s^3*t + 4*r^5*s^3*t^2 - 4*r^4*s^3*t^3 + 4*r^3*s^3*t^4 - 2*r^2*s^3*t^5 + 6*r^6*s^2*t - 10*r^5*s^2*t^2 + 7*r^4*s^3*t^2 + 5*r^4*s^2*t^3 - 16*r^3*s^3*t^3 + 12*r^2*s^3*t^4 - 4*r*s^3*t^5 + s^3*t^6 - 3*r^6*s^2 - r^5*s^2*t - 4*r^3*s^3*t^2 + 5*r^3*s^2*t^3 + 8*r^2*s^3*t^3 - 5*r^2*s^2*t^4 - 4*r*s^3*t^4 + r^5*s^2 - 4*r^5*s*t + 9*r^4*s^2*t + 4*r^4*s*t^2 - 18*r^3*s^2*t^2 + r^2*s^3*t^2 + 20*r^2*s^2*t^3 - 2*r*s^3*t^3 - 9*r*s^2*t^4 + s^3*t^4 + 3*s^2*t^5 + r^5*s + 3*r^4*s*t - 3*r^3*s^2*t + 4*r^2*s^2*t^2 - 4*r^2*s*t^3 - 5*r*s^2*t^3 + r^4*t - 6*r^3*s*t + 9*r^2*s*t^2 - 6*r*s*t^3 + s^2*t^3 + 3*s*t^4 - r^3*t + r^2*s*t - r^2*t^2 - r*s*t^2 + r^2*t - r*t^2 + t^3);
j3 := (r^6*s^2 - 6*r^4*s^2*t + 2*r^3*s^2*t^2 + 2*r^3*s^2*t + 9*r^2*s^2*t^2 - 6*r*s^2*t^3 + s^2*t^4 - 3*r^4*s + 3*r^3*s*t - 6*r*s^2*t^2 + 2*s^2*t^3 + r^3*s + 6*r^2*s*t - 9*r*s*t^2 + s^2*t^2 + 2*s*t^3 + r^3 - 3*r*s*t + 3*s*t^2 - 3*r*t + t^2 + t)^2;
Xi3old := j0*Xi0old + j1*Xi1old + j2*Xi2old + j3*Xi3old;

function get_codomain_Kummer(r,s,t)
	
	e1 := s;
	e2 := t;
	e3 := r - 1;
	e4 := r - t;
	e5 := r*s - s*t - 1;
	e6 := r^2 - t;
	Delta := (e1*e3*e6)^2 + e5*(e3*e6*(e1*e4 + e5) + e4^2*e5);
	if Delta eq 0 then return Delta, 0, 0, 0, 0; end if;
	
	invD := 1/Delta;

	j0fac := e1*( e1*( e1*( e6^2*( e6^2*(e4*e5 + e3) - e3*e4^2*(e3 + 1)) + (e2*e3*e4)^2*e4*e5) - e4*e5*(e2*e4^3 + e6^3)) + e2*(e2*Delta + e4^2*e5*(2*e5*e6 + e6)));
	j1fac := e1*( e1*( e6^3*( e5*(e1*e4^2 + e2 - 1) + e1*e3^2) + (e2*e3)^2*e3*e4*e5*(2 - e1*e4)) + e2*(Delta - e2*e3^3*e5));
	j2fac := e1*(e2*( Delta - (e3*e5)^2*e6*(2*e5 + 1)) + e1*e4^2*Delta );

	j0 := 36*Delta*j0fac;
	j1 := 12*Delta*j1fac;
	j2 := 36*Delta*j2fac;

	Kx<x> := PolynomialRing(Parent(r));
	Hrst := x^2 + r*x + t;
	Grst := (s - s*t - 1)*x^3 + 3*s*(r - t)*x^2 + 3*r*s*(r - t)*x + (r^3*s - s*t^2 + t);
	Frsti := Coefficients(Delta*(Grst^2 + 4*s*Hrst^3));
	f0D := Frsti[1]; f1D := Frsti[2]; f2D := Frsti[3]; f3D := Frsti[4]; f4D := Frsti[5]; f5D := Frsti[6]; f6D := Frsti[7];
	Hrst_tilde := e3*e5*x^2 + (r^3*s - 2*r^2*s + r*s*t + r - s*t^2 + s*t - t)*x - e6*e5;
	Grst_tilde := Grst - 2*t;
	Frsti_tilde := Coefficients(-3*(Delta*Grst_tilde^2 + 4*s*t*Hrst_tilde^3));
	h0 := Frsti_tilde[1]; h1 := Frsti_tilde[2]; h2 := Frsti_tilde[3]; h3 := Frsti_tilde[4]; h4 := Frsti_tilde[5]; h5 := Frsti_tilde[6]; h6 := Frsti_tilde[7];

	a0 := 0; a1 := 0; a2 := 0; a3 := Delta;
	b0 := 0; b1 := 0; b2 := Delta; b3 := 0;
	c0 := 0; c1 := Delta; c2 := 0; c3 := 0;
	a4 := f6D - h6;
	c9 := f0D - h0;
	a5 := (f5D - h5)*INV3;
	b4 := -a5;
	c8 := (f1D - h1)*INV3;
	b9 := -c8;
	b5 := 4*e1*( Delta*( 5*e2 - e1*e4^2 - 2*(e2*e3*e5 - e6)) + e2*(e3*e5)^2*e6*(12*e5 + 9) );
	a7 := 4*e1*(Delta*(e2 + e1*e4^2) - e2*(e3*e5)^2*e6*(3*e5 + 2));
	c4 := b5 + (f4D - h4)*INV3;
	a6 := 2*b5 - c4 - 4*a7 + (f4D - h4);
	a8 := 12*e1* ( e1*( e6^3*( e5*(e4*e5 + e3) + e1*e3^2) - (e2*e3*e5)^2*e3*e4) + e2*(Delta + e2*e3*(e3*e5)^2));
	b7 := -4*e1* ( e2*( e5*( e3*e6*( e1*e3*e6*(-5*e5 - 4) - e4*e5^2) + 3*e4*Delta - 2*e4*(e4*e5)^2) - e2*Delta) + e1*e4^3*Delta);
	c5 := a8;
	b6 := 4*(a8 - b7) - (f3D - h3);
	b8 := 4*e1*( Delta*( e1*( e6*( e6 -2*e4^2) - e2^2*(e3^2  - 5*e4)) + e2*(e6 - 5*e2*e5 + 2*e4)) - e2*e3*(e5*e6)^2*(12*e5 + 9));
	c7 := 4*e1* (Delta* ( e2*( e1*e4^2 + e6 + e2) + e1*e4^2*e6) + e2*e3*(e5*e6)^2*(2*e1*e4 + e5));
	a9 := b8 + (f2D - h2)*INV3;
	c6 := 2*b8 - a9 - 4*c7 + (f2D - h2);
	
	a10 := (a4*b5 + f6D*(a6 - b5) - a5*(2*f5D + h5)*INV3 )*invD;
	c19 := (c9*b8 + f0D*(c6 - b8) - c8*(2*f1D + h1)*INV3 )*invD;
	a11 := (2*f6D*(b6 + 2*(c5 - b7)) + f5D*(a6 - a7 - c4) + 3*a4*b7 - h5*a7 )*invD;
	c18 := (2*f0D*(b6 + 2*(a8 - b7)) + f1D*(c6 - c7 - a9) + 3*c9*b7 - h1*c7 )*invD;
	b10 := (b4*c4 + 4*f6D*b7 - 4*h6*a8 + a7*(9*a5 + 4*h5) - 3*a4*(a8 + b7) )*invD*INV2;
	b19 := (b9*a9 + 4*f0D*b7 - 4*h0*c5 + c7*(9*c8 + 4*h1) - 3*c9*(c5 + b7) )*invD*INV2;
	a13 := (f6D*(10*a9 - 9*c6 - b8)*INV2 - h5*b7 - 3*b5*a7 + f5D*c5 )*invD;
	c17 := (f0D*(10*c4 - 9*a6 - b5)*INV2 - h1*b7 - 3*b8*c7 + f1D*a8 )*invD;
	b11 := (a4*(2*c7 - c6) + c4*(2*b5 - c4) + f6D*(4*b8 - 3*c6) + h6*(b8 - 2*a9) + 2*f5D*(a8 - b7) + a7*(2*a6 - a7) - 6*a13*Delta )*invD*INV4;
	b18 := (c9*(2*a7 - a6) + a9*(2*b8 - a9) + f0D*(4*b5 - 3*a6) + h0*(b5 - 2*c4) + 2*f1D*(c5 - b7) + c7*(2*c6 - c7) - 6*c17*Delta )*invD*INV4;
	a12 := (8*(2*f2D*a4 - a13*Delta + 12*h6*c7) + a5*(9*b6 - 7*f3D) - a5*(h3 - 32*a8) + 2*a7*(6*c4 - b5) - 2*a6*(2*c4 - 4*a6 + 11*a7) + 115*b6*(h6 - f6D + a4)*INV16 )*invD*INV16;
	c15 := (8*(2*f4D*c9 - c17*Delta + 12*h0*a7) + c8*(9*b6 - 7*f3D) - c8*(h3 - 32*c5) + 2*c7*(6*a9 - b8) - 2*c6*(2*a9 - 4*c6 + 11*c7) + 115*b6*(h0 - f0D + c9)*INV16 )*invD*INV16;
	c10 := (c7*(3*f6D + 5*h6 - a4) + c4^2 + 2*a5*a8 - a7*(2*a6 - a7) )*invD*INV4;
	a19 := (a7*(3*f0D + 5*h0 - c9) + a9^2 + 2*c8*c5 - c7*(2*c6 - c7) )*invD*INV4;
	a16 := (a7*(3*a8 + b7 - 2*f3D - b6) + c8*(3*f6D + h6) + a5*b8 - c7*(3*f5D + h5) + b5*a8 - a6*b7 )*invD*INV4;
	c16 := (c7*(3*c5 + b7 - 2*f3D - b6) + a5*(3*f0D + h0) + c8*b5 - a7*(3*f1D + h1) + b8*c5 - c6*b7 )*invD*INV4;
	b13 := (2*a7*(2*(f3D + b6) + h3 + a8 - b7) + 2*b5*(b7 + a8) - c4*(b7 + a8) - f5D*(3*a9 - 2*c6) + h5*(2*b8 - a9) - 4*f6D*c8 - 3*a5*c7 )*invD*INV4;
	b17 := (2*c7*(2*(f3D + b6) + h3 + c5 - b7) + 2*b8*(b7 + c5) - a9*(b7 + c5) - f1D*(3*c4 - 2*a6) + h1*(2*b5 - c4) - 4*f0D*a5 - 3*c8*a7 )*invD*INV4;
	a14 := (c8*(10*f6D - 3*a4) + b13*Delta - h5*(b8 + c6)*INV2 + f5D*(2*b8 - a9) - a7*(7*f3D - 6*a8) + 2*f4D*(a8 - b7) )*invD;
	c14 := (a5*(10*f0D - 3*c9) + b17*Delta - h1*(b5 + a6)*INV2 + f1D*(2*b5 - c4) - c7*(7*f3D - 6*c5) + 2*f2D*(c5 - b7) )*invD;
	c11 := (3*(c4*b7 + a7*a8)*INV2 - Delta*(2*b13 + 9*a16) + 4*(f5D*c7 - f6D*c8) )*invD;
	a18 := (3*(a9*b7 + c7*c5)*INV2 - Delta*(2*b17 + 9*c16) + 4*(f1D*a7 - f0D*a5) )*invD;
	b12 := ((b6*(c4 - a7) + a6*(a8 + b7))*INV2 + Delta*(b13 - a14 + 6*a16) - c4*b7 - a7*a8 )*invD;
	b15 := ((b6*(a9 - c7) + c6*(c5 + b7))*INV2 + Delta*(b17 - c14 + 6*c16) - a9*b7 - c7*c5 )*invD;
	b16 := (c7*(6*f4D + 2*h4 - a6 + a7) + 2*b5*(b8 - a9) + c9*(3*h6 - 7*f6D) + b7*(b7 - 2*b6) - 4*h0*a4 + a5*c8 - c6*a7 )*invD*INV4;
	c13 := (c8*(a5 + 3*f5D + h5) - c9*(3*(h6 + a4) + 5*f6D) + b5*(b8 + 2*c7 - c6) + b7*(b7 - 2*b6) + a8^2 )*invD*INV4 - b16;
	a17 := (a5*(c8 + 3*f1D + h1) - a4*(3*(h0 + c9) + 5*f0D) + b8*(b5 + 2*a7 - a6) + b7*(b7 - 2*b6) + c5^2 )*invD*INV4 - b16;
	a15 := ((a6*(f2D - 5*c7  + b8 - h2) + a8*(a8 - b7 + 2*b6))*INV2 - a7*(5*f2D + 3*(c7 - b8) + h2)*INV3 + 2*c9*(3*f6D + h6) - (c8*(f5D + h5) - h1*a5) )*invD;
	c12 := ((c6*(f4D - 5*a7  + b5 - h4) + c5*(c5 - b7 + 2*b6))*INV2 - c7*(5*f4D + 3*(a7 - b5) + h4)*INV3 + 2*a4*(3*f0D + h0) - (a5*(f1D + h1) - h5*c8) )*invD;
	b14 := (2*(2*(f4D*c7 - f5D*c8 - f6D*c9) - h0*a4 - a5*c8 - f3D*b7 - c4*a9) - 3*h1*a5 + b8*(b5 + c4) + a8*(f3D + h3) )*invD + 4*(c13 - b16) + c12;

	d0 := Delta^3;
	d1 := Delta*j2;
	d2 := Delta*j1;
	d3 := Delta*j0;
	d9 := Delta*( 2*(f0D*b5 - h4*c9) + c8*(f3D - 4*a8) + Delta*(4*c17 + c15) - j2fac*(108*c9 + 72*h0) + 4*f2D*c7);
	d4 := Delta*( 2*(f6D*b8 - h2*a4) + a5*(f3D - 4*c5) + Delta*(4*a13 + a12) - j0fac*(108*a4 + 72*h6) + 4*f4D*a7);
	d8 := Delta*( Delta*(4*c16 + c14) + b5*(h1 - f1D)*INV3 + 2*(f3D*c7 - 2*h0*a5 - f5D*c9));
	d5 := Delta*( Delta*(4*a16 + a14) + b8*(h5 - f5D)*INV3 + 2*(f3D*a7 - 2*h6*c8 - f1D*a4));
	d6 := Delta*( a8*(18144*c7 + 1344*(h2 - f2D) - 2016*b8  + 1386*h3 + 3198*f3D - 1770*b6)  + j0fac*(51840*h3 - 77760*b6 - 194400*b7 + 303264*c4 - 17712*b5 - 478656*f4D) + c6*(3888*b6 - 2592*h3 + 9720*b7 + 12528*f4D + 4644*b5 - 10584*c4) + b7*(6006*b6 - 678*h3 - 4890*f3D) + f1D*(1728*a6 - 8640*a7 - 1024*h5) + h1*(1296*a6 - 25920*j2fac - 22464*a5) + b6*(192*b6 + 384*f3D) + f2D*(4608*f4D - 512*h4) - f0D*(24384*h6 + 11904*f6D) + c8*(22768*h5 - 2416*f5D) - a9*(240*b5 + 1536*h4)+ 5664*b16*Delta + 49248*h0*a4 - 45600*h6*c9 - 1536*f3D^2 )*INV216;
	d7 := Delta*( a8*(336*(f2D - h2) - 4536*c7 + 504*b8 - 822*f3D - 378*h3 + 474*b6) + j0fac*(19440*b6 - 12960*h3 + 48600*b7 - 71928*c4 + 119664*f4D + 3780*b5) + c6*(2646*c4 - 972*b6 + 648*h3 - 2430*b7 - 1161*b5 - 3132*f4D) + f3D*(384*f3D + 1299*b7 - 96*b6) + h1*(5616*a5 - 324*a6 + 6480*j2fac) + f1D*(256*h5 - 432*a6 + 2160*a7) + f0D*(2904*f6D + 6312*h6) + a9*(384*h4 - 12*b5) + f2D*(128*h4 - 1152*f4D) + b7*(165*h3 - 1461*b6) + c8*(592*f5D - 5680*h5) - 48*b6^2  - 1272*b16*Delta - 12312*h0*a4 + 11184*h6*c9)*INV216;
	d10 := (a5*(f3D*(161280*c4 - 30720*f4D - 145920*a6 + 2343345*a7) + a5*(1488420*a9 - 3587400*b8 + 322560*f2D) - f4D*(30720*b6  + 199680*a8 + 284160*b7) + a7*(5539185*b6 + 691191*h3) + f5D*(510720*b8 - 7074540*c7) - 15360*f1D*h6 + 996480*b5*b7 + 10958040*a16*Delta  + 866880*c4*a8  + 1586340*h5*c7) + f5D*(f5D*(130560*b8 + 2453760*c7 - 215040*a9) + c4*(158400*b7 - 2588160*a8 - 11520*f3D) - a7*(680388*f3D + 2668740*b6 + 191292*h3) + f4D*(61440*a8 - 46080*b7) - 2780160*a16*Delta - 384000*b5*b7 + 7680*a6*b6 + 161280*f6D*c8) + a7*(h6*(69892224*a9- 131227776*c7- 33135744*c6 - 3661632*f2D) + c4*(4174608*b5 + 3304896*c4 - 2843904*f4D) + b5*(129696*b5 + 2325504*f4D) + f6D*(74365920*c7 - 13811968*f2D - 20964800*h2) - Delta*(2124480*a12 + 2182800*a13) + 34296960*a4*b8) + f6D*(a8*(552960*b6 - 2407680*b7 + 2313600*a8) + a6*(18504000*c7 - 46080*f2D + 568320*b8 + 9398400*a9) + c7*(35443200*h4 - 59031360*b5) + c4*(138240*f2D - 8559360*a9)) + c4*(a6*(15360*f4D + 81600*c4 - 76800*b5) + 2525760*h5*b7 - 184320*a12*Delta- 1411200*h6*b8  - 1558080*a4*c7) + h6*(b7*(1075200*f3D - 122880*b6 - 439680*b7) + 34560*a4*c9 - 15360*h3^2 - 764160*a6*c7) - a4*(a8*(608640*a8 - 2079360*b7) + 702720*a6*b8) + a6*Delta*(84480*a12 + 1265280*a13) )*INV103680 + (j0*a10 + j1*b10 + j2*c10);
	d11 := (a7*(f5D*(663936*f2D+ 331980*c7 + 2228928*a9 - 3106272*c6) + f3D*(1445873*a6 - 1920672*c4  - 881400*a7) + a5*(5212692*b8- 3170316*f2D - 2121108*h2) + a8*(2798016*f4D - 1217892*c4 + 74932*b5) + a6*(480831*h3  - 49647*b6) + b7*(3974724*c4- 3129984*f4D) - a7*(241176*b6 + 1537536*h3) - 165984*h1*a4  + 8144136*a16*Delta  + 4161756*h5*c7) + b7*(b5*(284544*h4- 480168*b5 + 441064*a6) + f5D*(160056*b7 - 35568*h3 + 326040*a8) + h5*(118560*h3 - 17784*b6 - 569088*b7) + a4*(480168*a9 - 960336*f2D) + a6*(102960*f4D - 400556*c4) + 47424*h2*h6 - 1421732*a5*a8) + a5*(a8*(158080*b6 + 670852*a8 + 98800*h3) + h4*(8208*f2D + 24624*a9 - 24624*c6) + a6*(372576*c7 - 3496*b8) - c8*(160056*f5D + 88920*h5) - 332424*b5*c6 + 213408*h6*c9) + a8*(h6*(397176*a9 - 219336*c6 - 136344*f2D) - Delta*(725192*a13 + 158080*a12) + a4*(201552*b8 + 21736*h2) - 148200*f6D*h2) + a6*(h6*(253344*f1D - 747136*c8) + Delta*(56992*a14 + 3320512*a16) - f5D*(39624*b8 + 499408*c7) + 196352*h1*a4) + f5D*(189696*h0*h6 + h1*(71136*h5 - 82992*f5D) - 2736*h2*h4) - h5*(195624*b5*b8 - 11856*h1*h5 - 2736*h2*h4) + a16*Delta*(1849536*f4D - 5975424*c4) + 640224*f1D*f6D*b5)*INV213408 + (j0*a11 + j1*b11 + j2*c11);
	d12 := (a7*(a8*(71688639263904*b6 - 47633590083456*h3  + 8226721831536*a8 + 150071629876272*b7) + f2D*(726002896320*b5 - 179138718720*h4 + 138945245672016*a6 + 3086073952448*a7) + a6*(53546718093024*b8 - 151947714850584*a9 + 325475748300312*c7) + h4*(52749740160*a9 - 29732886144*c6 + 588120892416*c7) + a7*(6586890862080*b8 - 4249353171776*h2 - 118179243959904*c7) + b7*(11182445707680*f3D - 2820326389920*b7) + h5*(20027432146176*c8 - 8088690876864*f1D) - b5*(224586788400*a9 + 111193712928*c6) - 14100621058368*f5D*c8 - 18611697184704*h1*a5) + a6*(a8*(6525676207557*h3 - 22601221319781*f3D - 10603550635821*b6 + 80301151266336*a8) + a6*(13243726386768*c6 - 14700419646732*a9 - 11815674624*f2D + 15956038353324*c7) + h4*(4508524800*a9 + 1596351744*c6 - 2344823770176*c7) + b5*(8408066073336*c6 - 24346033920*f2D - 4030968240*a9) + b7*(55566725760*f3D - 273511527120*b7) + h5*(14260256617152*f1D - 30843403202664*c8) - 12028028084280*a15*Delta + 12154510984824*f5D*c8 + 28183820804568*h1*a5) + a8*(h5*(26468641652544*c7 + 23504123448*f2D + 24429383784*a9 - 5375754349992*c6) + f5D*(108746474616*a9 - 83614417848*f2D - 131580175896*c6) + f4D*(14126711040*b6 + 871146327168*b7) + a8*(32077009590912*h4 - 72100886590512*b5) + c4*(27577143360*h3 - 1117106909568*b7) +31709957760*f3D*h4 - 116319939840*f1D*a4 + 66604982184*h2*a5) + b7*(a5*(458399616012*f2D - 4438398297996*a9 + 2342796395004*c6) + f5D*(26218297404*h2 - 424505659968*f2D) + h5*(322851453444*h2 - 256082141952*b8) + b7*(844880615280*b5 - 500669994240*h4) + 8115344640*h1*a4 + 12336736557600*a16*Delta) + a9*(f6D*(230723116416*c6 - 4057672320*a9 - 86563676160*f2D) - 37729916640*a4*c7) + c7*(26149443840*h5*b6 - 866538466560*h4*c4 + 731141831160*b5^2 + 37504321920*f2D*a4) + f5D*(b5*(53989584480*c8  - 13826142720*f1D) + 10369607040*f4D*c8 + 13525574400*f3D*c6) - c6*(106107356160*f2D*f6D + 24556431744*h6*b8) + h4*(1352557440*a15*Delta - 1352557440*a4*c9) + h1*(5184803520*c4*a5  - 2404546560*h3*h6) + 36519050880*a4*a19*Delta - 601136640*f0D*h5^2)*INV8115344640 + (j0*a12 + j1*b12 + j2*c12);
	d13 := (a6*(a8*(152377957017*f3D - 43858328553*h3 - 542547965232*a8 + 70926086673*b6) + a7*(1027033984428*a9 - 939329740800*f2D - 364246057056*b8 - 2221420681944*c7) + a6*(99362564352*a9 - 72671040*f2D - 89555386368*c6 - 110375191650*c7) + b5*(218013120*f2D - 56749284936*c6  + 235471860*a9) + h4*(16654460832*c7 - 290684160*a9 + 266460480*c6) + h5*(208629280080*c8 - 96846091680*f1D) + b7*(2716672608*b7 - 2100591792*f3D) + 49052952*a4*c9 + 81476094024*a15*Delta - 81917937036*f5D*c8 - 190688851080*h1*a5) + a7*(a8*(324608223888*h3 - 485859058776*b6 - 49610165904*a8 - 1024182914976*b7) + h4*(2131683840*f2D - 2241445536*c7- 1731993120*c6 - 654039360*a9) + a7*(35892961856*h2 - 55359277320*b8 - 22401676160*f2D + 792582864408*c7) + b5*(3475392804*a9 - 3804328944*f2D + 2869454808*c6) + b7*(23841196236*b7 - 75249410184*f3D) + c8*(93792832848*f5D - 134772145560*h5)+ 124109677224*h1*a5 + 55935056112*f1D*h5) + a8*(h5*(37133566470*c6 - 117723554*f2D - 1120252614*a9 - 176536537632*c7) + f5D*(2268786338*f2D + 2892135402*c6 - 4942122042*a9) + c4*(196817400*h3 + 5019607476*b7) + a8*(490324404960*b5 - 218074296960*h4) - f4D*(3527778384*b7 + 24223680*b6) - 133230240*f3D*h4  + 245264760*f1D*a4 - 450065382*h2*a5) + b7*(a5*(28009741032*a9 - 3964646088*f2D - 17342227656*c6) + h5*(1181516544*b8 - 1946519640*h2) + b7*(4266587520*h4 - 7199866440*b5) + f5D*(4678872120*f2D - 319673952*h2) + 370622304*h1*a4) + c7*(327019680*h5*b6 + 218013120*h4*c4 + a4*(2411681688*a9 - 1183058136*c6) - 183948570*b5^2) + f6D*c6*(4113978336*a9 - 544763232*c6 - 1177270848*f2D) + f5D*(436026240*f1D*b5 - 13625820*b5*c8 - 690374880*f4D*c8) + Delta*(218013120*h2*a13- 109006560*h4*a15 - 85899528000*b7*a16) + h1*(96894720*h3*h6 - 136258200*c4*a5) + 109006560*h4*a4*c9 + 290684160*f0D*h5^2 - 2943177120*f6D*a9^2) *INV327019680 + (j0*a13 + j1*b13 + j2*c13);
	d14 := (a7*(f3D*(1609023*c7 - 680238*a9 + 952359*c6 - 331056*f2D) + b6*(1197666*a9 - 335088*f2D - 3120369*c7 - 360885*c6) + f1D*(1352928*c4 - 1327680*b5 + 144384*f4D) + h3*(333360*f2D - 293499*c7 - 6489*b8) + c8*(1074888*c4 - 2640096*f4D + 30024*b5) + h5*(2385984*c9 - 932928*f0D)+ 357120*a18*Delta - 6584256*h0*a5 - 537168*f5D*c9) + b7*(b7*(378*b6 - 630*f3D - 42*h3) + b8*(87876*h4 - 61092*f4D - 148056*b5) + c7*(397776*c4 - 109248*b5 - 747360*f4D) + a9*(35136*f4D + 31704*c4) + a8*(1680*b6 + 3552*f3D) + c8*(78288*f5D - 228888*a5) + 2592*a4*c9 + 8640*a15*Delta - 27984*f1D*a5) + c7*(f5D*(1445940*c7 - 535440*b8 - 82176*f2D) + a6*(8448*f3D + 40272*b6) + a8*(161568*f4D - 125064*c4) - a5*(12684*a9 + 124128*f2D) - 7776*h6*c8  - 5935032*a16*Delta - 286332*h5*c7) + b8*(a8*(6300*c4 + 101844*b5 - 61920*f4D) + a5*(563760*a9 - 148686*c6 - 4032*f2D) + f5D*(44352*a9 - 195646*b8) - 108*a4*c8 + 151294*h5*b8) + a5*(2196*h0*a6 + c9*(2268*b5 - 864*f4D) - 3456*b6*c8 + 2880*f1D*h3 + a8*(159816*c8 - 72768*f1D) - 321216*a19*Delta) + Delta*(3456*c8*a12 + a16*(1410048*a9 - 902736*c6 + 176256*f2D) + 8064*a6*a18 - 2880*a8*a15) + a6*(f5D*(54356*f0D - 8496*h0) - 45860*f0D*h5) + c9*(3168*h6*a8 - 432*h3*a4)- 2880*f3D*a8^2)*INV864 + (j0*a14 + j1*b14 + j2*c14);
	d15 := (c7*(c5*(71688639263904*b6 - 47633590083456*h3  + 8226721831536*c5 + 150071629876272*b7) + f4D*(726002896320*b8 - 179138718720*h2 + 138945245672016*c6 + 3086073952448*c7) + c6*(53546718093024*b5 - 151947714850584*c4 + 325475748300312*a7) + h2*(52749740160*c4 - 29732886144*a6 + 588120892416*a7) + c7*(6586890862080*b5 - 4249353171776*h4 - 118179243959904*a7) + b7*(11182445707680*f3D - 2820326389920*b7) + h1*(20027432146176*a5 - 8088690876864*f5D) - b8*(224586788400*c4 + 111193712928*a6) - 14100621058368*f1D*a5 - 18611697184704*h5*c8) + c6*(c5*(6525676207557*h3 - 22601221319781*f3D - 10603550635821*b6 + 80301151266336*c5) + c6*(13243726386768*a6 - 14700419646732*c4 - 11815674624*f4D + 15956038353324*a7) + h2*(4508524800*c4 + 1596351744*a6 - 2344823770176*a7) + b8*(8408066073336*a6 - 24346033920*f4D - 4030968240*c4) + b7*(55566725760*f3D - 273511527120*b7) + h1*(14260256617152*f5D - 30843403202664*a5) - 12028028084280*c12*Delta + 12154510984824*f1D*a5 + 28183820804568*h5*c8) + c5*(h1*(26468641652544*a7 + 23504123448*f4D + 24429383784*c4 - 5375754349992*a6) + f1D*(108746474616*c4 - 83614417848*f4D - 131580175896*a6) + f2D*(14126711040*b6 + 871146327168*b7) + c5*(32077009590912*h2 - 72100886590512*b8) + a9*(27577143360*h3 - 1117106909568*b7) +31709957760*f3D*h2 - 116319939840*f5D*c9 + 66604982184*h4*c8) + b7*(c8*(458399616012*f4D - 4438398297996*c4 + 2342796395004*a6) + f1D*(26218297404*h4 - 424505659968*f4D) + h1*(322851453444*h4 - 256082141952*b5) + b7*(844880615280*b8 - 500669994240*h2) + 8115344640*h5*c9 + 12336736557600*c16*Delta) + c4*(f0D*(230723116416*a6 - 4057672320*c4 - 86563676160*f4D) - 37729916640*c9*a7) + a7*(26149443840*h1*b6 - 866538466560*h2*a9 + 731141831160*b8^2 + 37504321920*f4D*c9) + f1D*(b8*(53989584480*a5  - 13826142720*f5D) + 10369607040*f2D*a5 + 13525574400*f3D*a6) - a6*(106107356160*f4D*f0D + 24556431744*h0*b5) + h2*(1352557440*c12*Delta - 1352557440*c9*a4) + h5*(5184803520*a9*c8  - 2404546560*h3*h0) + 36519050880*c9*c10*Delta - 601136640*f6D*h1^2)*INV8115344640 + (j0*a15 + j1*b15 + j2*c15);
	d16 := (b7*(f4D*(28021592352*c7 - 1186872960*a9 - 90215424*f2D + 2564727256*b8) + b7*(11080992*h3 - 61233120*f3D + 36739872*b6) + c4*(15634944*f2D - 2143884288*a9 - 13429047840*c7) + f1D*(468525408*a5 - 31277376*f5D) + b8*(5647063032*b5  - 3255914584*h4) + c8*(8596985904*a5 - 2837594448*f5D) + a8*(18118464*f3D - 18670080*b6) + 4315057968*b5*c7 + 12224160*a15*Delta) + a7*(f3D*(10870942872*f2D - 49034471628*c7 + 21659664474*a9 - 31509056853*c6) + b6*(11004658584*f2D - 43666946766*a9 + 111387259092*c7 + 13921300635*c6) + f1D*(44079092448*b5 - 5433312768*f4D - 46842869568*c4) + h3*(187974099*b8 + 10704948264*c7 - 11120962200*f2D) + c8*(90357626208*f4D - 1937626536*b5 - 37449463512*c4) + c9*(24032217992*f5D - 86657028776*h5) + 237813785376*h0*a5  + 38797324800*f0D*h5 - 9889831872*a18*Delta) + b8*(f5D*(18592956792*c7- 1205128704*a9 - 12300288*f2D + 6491862111*b8) + a8*(1950122304*f4D + 192529896*c4 - 3659704464*b5) + a5*(59754240*f2D - 17589284478*a9 + 3699429813*c6) + a6*(8948160*b6 + 14092416*f3D) - 5222075775*h5*b8 ) + c7*(a5*(4309388928*f2D - 1812003696*a9) + f5D*(2948345088*f2D - 45120978720*c7) + a8*(4260518496*c4 - 5260253856*f4D) - a6*(346663200*f3D + 1408667520*b6) + 7915475520*h5*c7 + 211025095584*a16*Delta) + Delta*(a16*(35150202888*c6 - 5556385536*f2D - 56712723408*a9) + a19*(11345435712*a5 - 299120640*f5D) + 13837824*c9*a11 - 170775072*a6*a18 + 16320096*a8*a15 + 12300288*h2*a14) + h3*(h3*(3234816*b6 - 1078272*h3) - 741312*a4*c9 - 2426112*b6^2 + h4*(4313088*a9 - 1078272*c6 + 1437696*f2D)) + a6*(9424896*f4D*h1 + h0*(303996576*f5D - 58496256*a5) + f0D*(1627032160*h5 - 1976850304*f5D)) + b6*(h4*(1617408*c6 - 6469632*a9 - 2156544*f2D) + 5189184*a4*c9) + a8*(43041024*f3D*a8 + a5*(3190273008*f1D - 5827652064*c8)) + h1*h6*(18450432*a9 - 22843392*c6) - 8154432*f3D*a4*c9)*INV13837824 + (j0*a16 + j1*b16 + j2*c16);
	d17 := (c6*(c5*(152377957017*f3D - 43858328553*h3 - 542547965232*c5 + 70926086673*b6) + c7*(1027033984428*c4 - 939329740800*f4D - 364246057056*b5 - 2221420681944*a7) + c6*(99362564352*c4 - 72671040*f4D - 89555386368*a6 - 110375191650*a7) + b8*(218013120*f4D - 56749284936*a6  + 235471860*c4) + h2*(16654460832*a7 - 290684160*c4 + 266460480*a6) + h1*(208629280080*a5 - 96846091680*f5D) + b7*(2716672608*b7 - 2100591792*f3D) + 49052952*c9*a4 + 81476094024*c12*Delta - 81917937036*f1D*a5 - 190688851080*h5*c8) + c7*(c5*(324608223888*h3 - 485859058776*b6 - 49610165904*c5 - 1024182914976*b7) + h2*(2131683840*f4D - 2241445536*a7- 1731993120*a6 - 654039360*c4) + c7*(35892961856*h4 - 55359277320*b5 - 22401676160*f4D + 792582864408*a7) + b8*(3475392804*c4 - 3804328944*f4D + 2869454808*a6) + b7*(23841196236*b7 - 75249410184*f3D) + a5*(93792832848*f1D - 134772145560*h1)+ 124109677224*h5*c8 + 55935056112*f5D*h1) + c5*(h1*(37133566470*a6 - 117723554*f4D - 1120252614*c4 - 176536537632*a7) + f1D*(2268786338*f4D + 2892135402*a6 - 4942122042*c4) + a9*(196817400*h3 + 5019607476*b7) + c5*(490324404960*b8 - 218074296960*h2) - f2D*(3527778384*b7 + 24223680*b6) - 133230240*f3D*h2  + 245264760*f5D*c9 - 450065382*h4*c8) + b7*(c8*(28009741032*c4 - 3964646088*f4D - 17342227656*a6) + h1*(1181516544*b5 - 1946519640*h4) + b7*(4266587520*h2 - 7199866440*b8) + f1D*(4678872120*f4D - 319673952*h4) + 370622304*h5*c9) + a7*(327019680*h1*b6 + 218013120*h2*a9 + c9*(2411681688*c4 - 1183058136*a6) - 183948570*b8^2) + f0D*a6*(4113978336*c4 - 544763232*a6 - 1177270848*f4D) + f1D*(436026240*f5D*b8 - 13625820*b8*a5 - 690374880*f2D*a5) + Delta*(218013120*h4*c17- 109006560*h2*c12 - 85899528000*b7*c16) + h5*(96894720*h3*h0 - 136258200*a9*c8) + 109006560*h2*c9*a4 + 290684160*f6D*h1^2 - 2943177120*f0D*c4^2)*INV327019680 + (j0*a17 + j1*b17 + j2*c17);
	d18 := (c7*(f1D*(663936*f4D+ 331980*a7 + 2228928*c4 - 3106272*a6) + f3D*(1445873*c6 - 1920672*a9  - 881400*c7) + c8*(5212692*b5- 3170316*f4D - 2121108*h4) + c5*(2798016*f2D - 1217892*a9 + 74932*b8) + c6*(480831*h3  - 49647*b6) + b7*(3974724*a9- 3129984*f2D) - c7*(241176*b6 + 1537536*h3) - 165984*h5*c9  + 8144136*c16*Delta  + 4161756*h1*a7) + b7*(b8*(284544*h2- 480168*b8 + 441064*c6) + f1D*(160056*b7 - 35568*h3 + 326040*c5) + h1*(118560*h3 - 17784*b6 - 569088*b7) + c9*(480168*c4 - 960336*f4D) + c6*(102960*f2D - 400556*a9) + 47424*h4*h0 - 1421732*c8*c5) + c8*(c5*(158080*b6 + 670852*c5 + 98800*h3) + h2*(8208*f4D + 24624*c4 - 24624*a6) + c6*(372576*a7 - 3496*b5) - a5*(160056*f1D + 88920*h1) - 332424*b8*a6 + 213408*h0*a4) + c5*(h0*(397176*c4 - 219336*a6 - 136344*f4D) - Delta*(725192*c17 + 158080*c15) + c9*(201552*b5 + 21736*h4) - 148200*f0D*h4) + c6*(h0*(253344*f5D - 747136*a5) + Delta*(56992*c14 + 3320512*c16) - f1D*(39624*b5 + 499408*a7) + 196352*h5*c9) + f1D*(189696*h6*h0 + h5*(71136*h1 - 82992*f1D) - 2736*h4*h2) - h1*(195624*b8*b5 - 11856*h5*h1 - 2736*h4*h2) + c16*Delta*(1849536*f2D - 5975424*a9) + 640224*f5D*f0D*b8)*INV213408 + (j0*a18 + j1*b18 + j2*c18);
	d19 := (c8*(f3D*(161280*a9 - 30720*f2D - 145920*c6 + 2343345*c7) + c8*(1488420*c4 - 3587400*b5 + 322560*f4D) - f2D*(30720*b6  + 199680*c5 + 284160*b7) + c7*(5539185*b6 + 691191*h3) + f1D*(510720*b5 - 7074540*a7) - 15360*f5D*h0 + 996480*b8*b7 + 10958040*c16*Delta  + 866880*a9*c5  + 1586340*h1*a7) + f1D*(f1D*(130560*b5 + 2453760*a7 - 215040*c4) + a9*(158400*b7 - 2588160*c5 - 11520*f3D) - c7*(680388*f3D + 2668740*b6 + 191292*h3) + f2D*(61440*c5 - 46080*b7) - 2780160*c16*Delta - 384000*b8*b7 + 7680*c6*b6 + 161280*f0D*a5) + c7*(h0*(69892224*c4- 131227776*a7- 33135744*a6 - 3661632*f4D) + a9*(4174608*b8 + 3304896*a9 - 2843904*f2D) + b8*(129696*b8 + 2325504*f2D) + f0D*(74365920*a7 - 13811968*f4D - 20964800*h4) - Delta*(2124480*c15 + 2182800*c17) + 34296960*c9*b5) + f0D*(c5*(552960*b6 - 2407680*b7 + 2313600*c5) + c6*(18504000*a7 - 46080*f4D + 568320*b5 + 9398400*c4) + a7*(35443200*h2 - 59031360*b8) + a9*(138240*f4D - 8559360*c4)) + a9*(c6*(15360*f2D + 81600*a9 - 76800*b8) + 2525760*h1*b7 - 184320*c15*Delta- 1411200*h0*b5  - 1558080*c9*a7) + h0*(b7*(1075200*f3D - 122880*b6 - 439680*b7) + 34560*c9*a4 - 15360*h3^2 - 764160*c6*a7) - c9*(c5*(608640*c5 - 2079360*b7) + 702720*c6*b5) + c6*Delta*(84480*c15 + 1265280*c17) )*INV103680 + (j0*a19 + j1*b19 + j2*c19);

	AI := [a0,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15,a16,a17,a18,a19];
	BI := [b0,b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19];
	CI := [c0,c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,c11,c12,c13,c14,c15,c16,c17,c18,c19];
	DI := [d0,d1,d2,d3,d4,d5,d6,d7,d8,d9,d10,d11,d12,d13,d14,d15,d16,d17,d18,d19];

	return AI, BI, CI, DI;

end function;



AI, BI, CI, DI := get_codomain_Kummer(r,s,t);

KI := [k3^3, k2*k3^2, k1*k3^2, k0*k3^2, k2^2*k3, k1*k2*k3, k0*k2*k3, k1^2*k3, k0*k1*k3, k0^2*k3,
	   k2^3, k1*k2^2, k0*k2^2, k1^2*k2, k0*k1*k2, k0^2*k2, k1^3, k0*k1^2, k0^2*k1, k0^3];

Xi0new := &+[Numerator(AI[i])*KI[i] : i in [1..#KI]];
assert Xi0old eq Xi0new;
Xi1new := &+[Numerator(BI[i])*KI[i] : i in [1..#KI]];
assert Xi1old eq Xi1new;
Xi2new := &+[Numerator(CI[i])*KI[i] : i in [1..#KI]];
assert Xi2old eq Xi2new;
Xi3new := &+[Numerator(DI[i])*KI[i] : i in [1..#KI]];
assert Xi3old eq Xi3new;