(* "The two-loop helicity amplitudes for qqb' -> V1V2 -> 4 leptons" * T. Gehrmann, A. von Manteuffel, L. Tancredi * * This file contains the definition of the integrands of the master * integrals M[] described in section 5.1 and 5.2 with respect to the * integral families given in the file "integralfamilies.yaml". * * Except for the "addon" integrals, the master integrals M[] coincide exactly * with the definitions of arXiv:1402.7078 and arXiv:1404.5590v2 * under the corresponding names. Note that we differ in the overall * normalisation from these references. In particular, we always use a * uniform integral measure for all of the M[] integrals irrespective of * the integral family they are associated to. * * We use the following definition of the Mandelstam variables: * s = (p1+p2)^2, t=(p1-p3)^2, u=(p2-p3)^2, p3^2=ma2, p4^2=mb2, * and root denotes the Kaellen function in eq. (2.5): * root = Sqrt[ s^2 + ma2^2 + mb2^2 - 2 (s ma2 + ma2 mb2 + mb2 s) ]. *) { M["addon", 1] -> ((-4 + d)^2*mb2^2*INT["PL1", 4, 387, 6, 0, {2, 2, 0, 0, 0, 0, 0, 1, 1}])/4 , M["addon", 2] -> ((-4 + d)^2*ma2^2*INT["PL1", 4, 480, 6, 0, {0, 0, 0, 0, 0, 2, 2, 1, 1}])/4 , M["addon", 3] -> -((-4 + d)^3*mb2*root*INT["PL1", 5, 419, 6, 0, {1, 2, 0, 0, 0, 1, 0, 1, 1}])/8 , M["addon", 4] -> -((-4 + d)^3*ma2*root*INT["PL1", 5, 481, 6, 0, {1, 0, 0, 0, 0, 1, 2, 1, 1}])/8 , M["addon", 5] -> -((-4 + d)^3*mb2*s*(ma2 + mb2 - s - t)* INT["PL1", 6, 427, 7, 0, {1, 2, 0, 1, 0, 1, 0, 1, 1}])/8 , M["addon", 6] -> -((-4 + d)^3*ma2*s*(ma2 + mb2 - s - t)* INT["PL1", 6, 489, 7, 0, {1, 0, 0, 1, 0, 1, 2, 1, 1}])/8 , M["addon", 7] -> -((-4 + d)^3*ma2*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 6, 249, 7, 0, {1, 0, 0, 1, 2, 1, 1, 1, 0}])/8 , M["addon", 8] -> -((-4 + d)^3*mb2*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 6, 427, 7, 0, {1, 2, 0, 1, 0, 1, 0, 1, 1}])/8 , M["P12", 1] -> -((-4 + d)^2*t*INT["PL1x12", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/4 , M["P12", 2] -> -((-4 + d)^2*mb2*INT["PL1", 3, 134, 5, 0, {0, 2, 2, 0, 0, 0, 0, 1, 0}])/4 , M["P12", 3] -> -((-4 + d)^2*ma2*INT["PL1", 3, 196, 5, 0, {0, 0, 2, 0, 0, 0, 2, 1, 0}])/4 , M["P12", 4] -> -((-4 + d)^2*s*INT["PL1", 3, 38, 5, 0, {0, 2, 2, 0, 0, 1, 0, 0, 0}])/4 , M["P12", 5] -> ((-4 + d)^3*root*INT["PL1", 4, 198, 5, 0, {0, 1, 2, 0, 0, 0, 1, 1, 0}])/8 , M["P12", 6] -> -((-4 + d)^3*(ma2 - mb2 - s)*INT["PL1", 4, 198, 5, 0, {0, 1, 2, 0, 0, 0, 1, 1, 0}])/16 - ((-4 + d)^2*s*INT["PL1", 4, 198, 6, 1, {0, 1, 2, 0, 0, 0, 2, 1, -1}])/4 , M["P12", 7] -> ((-4 + d)^3*(mb2 - t)*INT["PL1x12", 4, 149, 5, 0, {1, 0, 1, 0, 2, 0, 0, 1, 0}])/8 , M["P12", 8] -> ((-4 + d)^3*root*INT["PL1", 4, 197, 5, 0, {1, 0, 1, 0, 0, 0, 2, 1, 0}])/8 , M["P12", 9] -> (3*(-4 + d)^3*(ma2 - mb2 + s)*INT["PL1", 4, 197, 5, 0, {1, 0, 1, 0, 0, 0, 2, 1, 0}])/16 - ((-6 + d)*(-4 + d)^2*ma2*s*INT["PL1", 5, 229, 6, 0, {1, 0, 2, 0, 0, 1, 1, 1, 0}])/8 , M["P12", 10] -> ((-4 + d)^2*mb2*s*INT["PL1", 4, 195, 6, 0, {2, 2, 0, 0, 0, 0, 1, 1, 0}])/4 , M["P12", 11] -> ((-4 + d)^3*(ma2 - t)*INT["PL1x12", 4, 180, 5, 0, {0, 0, 2, 0, 1, 1, 0, 1, 0}])/8 , M["P12", 12] -> ((-4 + d)^3*root*INT["PL1", 4, 166, 5, 0, {0, 2, 1, 0, 0, 1, 0, 1, 0}])/8 , M["P12", 13] -> (-3*(-4 + d)^3*(ma2 - mb2 - s)*INT["PL1", 4, 166, 5, 0, {0, 2, 1, 0, 0, 1, 0, 1, 0}])/16 - ((-6 + d)*(-4 + d)^2*mb2*s*INT["PL1", 5, 167, 6, 0, {1, 2, 1, 0, 0, 1, 0, 1, 0}])/8 , M["P12", 14] -> ((-4 + d)^2*ma2*s*INT["PL1", 4, 226, 6, 0, {0, 2, 0, 0, 0, 2, 1, 1, 0}])/4 , M["P12", 15] -> ((-4 + d)^3*s*INT["PL1", 4, 53, 5, 0, {1, 0, 1, 0, 2, 1, 0, 0, 0}])/8 , M["P12", 16] -> ((-4 + d)^2*s^2*INT["PL1", 4, 99, 6, 0, {2, 2, 0, 0, 0, 1, 1, 0, 0}])/4 , M["P12", 17] -> -((-4 + d)^3*s*t*INT["PL1x12", 5, 214, 6, 0, {0, 1, 2, 0, 1, 0, 1, 1, 0}])/8 , M["P12", 18] -> -((-4 + d)^4*(ma2 - s - t)*INT["PL1x12", 5, 213, 5, 0, {1, 0, 1, 0, 1, 0, 1, 1, 0}])/16 , M["P12", 19] -> -((-4 + d)^3*s*t*INT["PL1x12", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/8 , M["P12", 20] -> -((-4 + d)^4*root*INT["PL1", 5, 199, 5, 0, {1, 1, 1, 0, 0, 0, 1, 1, 0}])/16 , M["P12", 21] -> ((-4 + d)^4*(mb2 - s - t)*INT["PL1x12", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/16 , M["P12", 22] -> -((-4 + d)^3*s*t*INT["PL1x12", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/8 , M["P12", 23] -> -((-4 + d)^4*root*INT["PL1", 5, 230, 5, 0, {0, 1, 1, 0, 0, 1, 1, 1, 0}])/16 , M["P12", 24] -> -((-4 + d)^3*s*t*INT["PL1x12", 5, 181, 6, 0, {1, 0, 2, 0, 1, 1, 0, 1, 0}])/8 , M["P12", 25] -> ((-4 + d)^3*root*INT["PL1x12", 5, 181, 6, 1, {1, 0, 2, -1, 1, 1, 0, 1, 0}])/8 , M["P12", 26] -> -((-4 + d)^3*root*s*INT["PL1", 5, 227, 6, 0, {1, 2, 0, 0, 0, 1, 1, 1, 0}])/8 , M["P12", 27] -> -((-4 + d)^4*s*(mb2 - t)*INT["PL1x12", 6, 215, 6, 0, {1, 1, 1, 0, 1, 0, 1, 1, 0}])/16 , M["P12", 28] -> -((-4 + d)^4*s*(ma2 - t)*INT["PL1x12", 6, 246, 6, 0, {0, 1, 1, 0, 1, 1, 1, 1, 0}])/16 , M["P12", 29] -> -((-4 + d)^4*s^2*t*INT["PL1x12", 7, 247, 7, 0, {1, 1, 1, 0, 1, 1, 1, 1, 0}])/16 , M["P12", 30] -> -((-4 + d)^3*(ma2 + mb2)*s*INT["PL1x12", 5, 181, 6, 0, {1, 0, 2, 0, 1, 1, 0, 1, 0}])/8 + ((-4 + d)^3*mb2*s*INT["PL1x12", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/ 16 + ((-4 + d)^3*ma2*s*INT["PL1x12", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/16 + ((-4 + d)^4*s^2*INT["PL1x12", 7, 247, 7, 1, {1, 1, 1, 0, 1, 1, 1, 1, -1}])/ 16 , M["P12", 31] -> ((-4 + d)^4*root*s*INT["PL1x12", 7, 247, 7, 1, {1, 1, 1, -1, 1, 1, 1, 1, 0}])/16 , M["P13", 7] -> ((-4 + d)^3*(ma2 - t)*INT["PL1x12", 4, 204, 5, 0, {0, 0, 1, 1, 0, 0, 2, 1, 0}])/8 , M["P13", 12] -> ((-4 + d)^2*ma2*mb2*INT["PL1", 4, 418, 6, 0, {0, 1, 0, 0, 0, 1, 0, 2, 2}])/4 , M["P13", 13] -> ((-4 + d)^2*ma2*t*INT["PL1x12", 4, 432, 6, 0, {0, 0, 0, 0, 1, 1, 0, 2, 2}])/4 , M["P13", 14] -> ((-4 + d)^3*(mb2 - t)*INT["PL1x12", 4, 142, 5, 0, {0, 2, 1, 1, 0, 0, 0, 1, 0}])/8 , M["P13", 15] -> ((-4 + d)^2*mb2*t*INT["PL1x12", 4, 394, 6, 0, {0, 2, 0, 2, 0, 0, 0, 1, 1}])/4 , M["P13", 16] -> ((-4 + d)^2*t^2*INT["PL1x12", 4, 408, 6, 0, {0, 0, 0, 2, 2, 0, 0, 1, 1}])/4 , M["P13", 17] -> -((-4 + d)^3*s*t*INT["PL1x12", 5, 205, 6, 0, {1, 0, 2, 1, 0, 0, 1, 1, 0}])/8 , M["P13", 22] -> -((-4 + d)^4*root*INT["PL1", 5, 422, 5, 0, {0, 1, 1, 0, 0, 1, 0, 1, 1}])/16 , M["P13", 23] -> -((-4 + d)^4*(ma2 - t)*INT["PL1x12", 5, 436, 5, 0, {0, 0, 1, 0, 1, 1, 0, 1, 1}])/16 , M["P13", 24] -> -((-4 + d)^3*s*t*INT["PL1x12", 5, 174, 6, 0, {0, 2, 1, 1, 0, 1, 0, 1, 0}])/8 , M["P13", 25] -> -((-4 + d)^4*(mb2 - t)*INT["PL1x12", 5, 398, 5, 0, {0, 1, 1, 1, 0, 0, 0, 1, 1}])/16 , M["P13", 26] -> ((-4 + d)^4*(ma2*mb2 - ma2*t + s*t)* INT["PL1x12", 6, 438, 6, 0, {0, 1, 1, 0, 1, 1, 0, 1, 1}])/16 , M["P13", 27] -> ((-4 + d)^4*(ma2*mb2 - mb2*t + s*t)* INT["PL1x12", 6, 430, 6, 0, {0, 1, 1, 1, 0, 1, 0, 1, 1}])/16 , M["P13", 28] -> -((-4 + d)^4*s*t^2*INT["PL1x12", 7, 446, 7, 0, {0, 1, 1, 1, 1, 1, 0, 1, 1}])/16 , M["P13", 29] -> ((-4 + d)^4*(ma2 - mb2 + s)*t*INT["PL1x12", 6, 430, 6, 0, {0, 1, 1, 1, 0, 1, 0, 1, 1}])/16 + ((-4 + d)^4*(mb2 - t)*t*INT["PL1x12", 7, 446, 7, 1, {0, 1, 1, 1, 1, 1, -1, 1, 1}])/16 , M["P23", 15] -> ((-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2x12", 5, 174, 6, 0, {0, 1, 2, 1, 0, 1, 0, 1, 0}])/4 , M["P23", 16] -> -((-4 + d)^4*root*INT["PL2", 5, 213, 5, 0, {1, 0, 1, 0, 1, 0, 1, 1, 0}])/4 , M["P23", 17] -> ((-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/4 , M["P23", 18] -> ((-4 + d)^3*mb2*(ma2 - t)*INT["PL2", 5, 213, 6, 0, {2, 0, 1, 0, 1, 0, 1, 1, 0}])/4 , M["P23", 19] -> ((-4 + d)^3*ma2*(mb2 - t)*INT["PL2", 5, 213, 6, 0, {1, 0, 1, 0, 1, 0, 2, 1, 0}])/4 , M["P23", 20] -> -((-4 + d)^3*ma2*(ma2 - s - t)*INT["PL2", 5, 213, 6, 0, {1, 0, 1, 0, 2, 0, 1, 1, 0}])/4 , M["P23", 22] -> ((-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/4 , M["P23", 23] -> ((-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 5, 181, 6, 0, {1, 0, 1, 0, 2, 1, 0, 1, 0}])/4 , M["P23", 25] -> -((-4 + d)^4*(ma2 - s - t)*t*INT["PL2", 6, 215, 6, 0, {1, 1, 1, 0, 1, 0, 1, 1, 0}])/4 , M["P23", 26] -> -((-4 + d)^4*(mb2 - s - t)*t*INT["PL2x12", 6, 221, 6, 0, {1, 0, 1, 1, 1, 0, 1, 1, 0}])/4 , M["P23", 27] -> -((-4 + d)^4*t*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 7, 247, 7, 0, {1, 1, 1, 0, 1, 1, 1, 1, 0}])/4 , M["P23", 28] -> ((-4 + d)^3*mb2*(ma2 - t)*INT["PL2", 5, 181, 6, 0, {1, 0, 1, 0, 2, 1, 0, 1, 0}])/2 - ((-4 + d)^3*mb2*(ma2 - t)*INT["PL2", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/4 - ((-4 + d)^4*(ma2 - t)*t*INT["PL2", 7, 247, 7, 1, {1, 1, 1, 0, 1, 1, 1, 1, -1}])/4 , M["N12", 28] -> ((-4 + d)^4*s^2*INT["NPL", 6, 318, 6, 0, {0, 1, 1, 1, 1, 1, 0, 0, 1}])/16 , M["N12", 29] -> ((-4 + d)^4*mb2*s*INT["NPL", 6, 378, 6, 0, {0, 1, 0, 1, 1, 1, 1, 0, 1}])/16 , M["N12", 30] -> -((-4 + d)^4*s*(mb2 - t)*INT["NPL", 6, 378, 6, 0, {0, 1, 0, 1, 1, 1, 1, 0, 1}])/16 + ((-4 + d)^4*(mb2 - t)*INT["NPL", 6, 378, 6, 1, {-1, 1, 0, 1, 1, 1, 1, 0, 1}])/16 - ((-4 + d)^2*mb2*(mb2 - t)*INT["PL1", 3, 134, 5, 0, {0, 2, 2, 0, 0, 0, 0, 1, 0}])/(16*(ma2 - s - t)) - ((-4 + d)^2*(ma2 + mb2 - s - t)*(ma2 - 2*mb2 - s + t)* INT["PL1", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/ (32*(ma2 - s - t)) + ((-4 + d)^2*ma2*INT["PL1", 3, 196, 5, 0, {0, 0, 2, 0, 0, 0, 2, 1, 0}])/16 - ((-4 + d)^3*(ma2 + 2*mb2 - s - 3*t)*INT["PL1", 4, 149, 5, 0, {1, 0, 1, 0, 2, 0, 0, 1, 0}])/16 - ((-4 + d)^4*(mb2 - t)*INT["PL1", 5, 213, 5, 0, {1, 0, 1, 0, 1, 0, 1, 1, 0}])/32 + ((-4 + d)^3*s*(ma2 + mb2 - s - t)*INT["PL1", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/32 - ((-4 + d)^2*t*INT["PL1x12", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/ 32 + ((-4 + d)^3*(mb2 - t)*INT["PL1x12", 4, 149, 5, 0, {1, 0, 1, 0, 2, 0, 0, 1, 0}])/16 + ((-4 + d)^4*(ma2 - s - t)*INT["PL1x12", 5, 213, 5, 0, {1, 0, 1, 0, 1, 0, 1, 1, 0}])/32 - ((-4 + d)^3*s*t*INT["PL1x12", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/ 32 - ((-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/48 , M["N12", 31] -> ((-4 + d)^4*ma2*s*INT["NPL", 6, 126, 6, 0, {0, 1, 1, 1, 1, 1, 1, 0, 0}])/16 , M["N12", 32] -> ((-4 + d)^4*(mb2 - s - t)*INT["NPL", 6, 126, 6, 1, {-1, 1, 1, 1, 1, 1, 1, 0, 0}])/16 + ((-4 + d)^2*mb2*INT["PL1", 3, 134, 5, 0, {0, 2, 2, 0, 0, 0, 0, 1, 0}])/16 - ((-4 + d)^3*(mb2 - s - t)*INT["PL1", 4, 180, 5, 0, {0, 0, 2, 0, 1, 1, 0, 1, 0}])/8 - ((-4 + d)^4*(mb2 - s - t)*INT["PL1", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/16 - ((-4 + d)^2*t*INT["PL1x12", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/ 16 + ((-4 + d)^4*(mb2 - s - t)*INT["PL1x12", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/16 - ((-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/48 , M["N12", 33] -> ((-4 + d)^4*s*(mb2 - s - t)*t*INT["NPL", 6, 126, 6, 0, {0, 1, 1, 1, 1, 1, 1, 0, 0}])/(16*(-ma2 + mb2 + s)) + ((-4 + d)^4*s^2*t*INT["NPL", 6, 318, 6, 0, {0, 1, 1, 1, 1, 1, 0, 0, 1}])/ (16*(-ma2 + mb2 + s)) + ((-4 + d)^4*s*(ma2 - s - t)*t* INT["NPL", 6, 378, 6, 0, {0, 1, 0, 1, 1, 1, 1, 0, 1}])/ (16*(ma2 - mb2 - s)) - ((-4 + d)^4*s^2*(ma2 + mb2 - s - t)*t* INT["NPL", 7, 382, 7, 0, {0, 1, 1, 1, 1, 1, 1, 0, 1}])/ (16*(ma2 - mb2 - s)) - ((-4 + d)^4*s^2*t*INT["NPL", 7, 382, 7, 1, {0, 1, 1, 1, 1, 1, 1, -1, 1}])/(8*(-ma2 + mb2 + s)) - ((-4 + d)^3*(ma2 - mb2)*s*t*INT["PL1", 5, 181, 6, 0, {1, 0, 2, 0, 1, 1, 0, 1, 0}])/(4*(ma2 - mb2 - s)) + ((-4 + d)^3*s*(ma2 - s - t)*t*INT["PL1", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/(8*(ma2 - mb2 - s)) + ((-4 + d)^3*s*(mb2 - s - t)*t*INT["PL1", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/(8*(-ma2 + mb2 + s)) + ((-4 + d)^3*s*t*INT["PL1x12", 5, 181, 6, 0, {1, 0, 2, 0, 1, 1, 0, 1, 0}])/ 4 - ((-4 + d)^3*s*(mb2 - t)*t*INT["PL1x12", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/(8*(-ma2 + mb2 + s)) - ((-4 + d)^3*s*(ma2 - s - t)*t*INT["PL1x12", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/(8*(ma2 - mb2 - s)) , M["N12", 34] -> -((-4 + d)^4*s*(ma2 - 2*s - t)*(ma2 + mb2 - s - t)* INT["NPL", 6, 126, 6, 0, {0, 1, 1, 1, 1, 1, 1, 0, 0}])/ (16*(ma2 - mb2 - s)) - ((-4 + d)^4*s^2*(ma2 + mb2 - s - t)* INT["NPL", 6, 318, 6, 0, {0, 1, 1, 1, 1, 1, 0, 0, 1}])/ (16*(ma2 - mb2 - s)) + ((-4 + d)^4*s*(mb2 - t)*(ma2 + mb2 - s - t)* INT["NPL", 6, 378, 6, 0, {0, 1, 0, 1, 1, 1, 1, 0, 1}])/ (16*(ma2 - mb2 - s)) - ((-4 + d)^4*s^2*(2*mb2 - t)*(ma2 + mb2 - s - t)* INT["NPL", 7, 382, 7, 0, {0, 1, 1, 1, 1, 1, 1, 0, 1}])/ (16*(ma2 - mb2 - s)) + ((-4 + d)^4*s^2*(ma2 + mb2 - s - t)* INT["NPL", 7, 382, 7, 1, {0, 1, 1, 1, 1, 1, 1, -1, 1}])/ (8*(ma2 - mb2 - s)) - ((-4 + d)^3*(ma2 - mb2)*s*(ma2 + mb2 - s - t)* INT["PL1", 5, 181, 6, 0, {1, 0, 2, 0, 1, 1, 0, 1, 0}])/ (4*(ma2 - mb2 - s)) + ((-4 + d)^3*s*(ma2 - s - t)*(ma2 + mb2 - s - t)* INT["PL1", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/ (8*(ma2 - mb2 - s)) - ((-4 + d)^3*s*(mb2 - s - t)*(ma2 + mb2 - s - t)* INT["PL1", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/ (8*(ma2 - mb2 - s)) + ((-4 + d)^3*s*(ma2 + mb2 - s - t)* INT["PL1x12", 5, 181, 6, 0, {1, 0, 2, 0, 1, 1, 0, 1, 0}])/4 + ((-4 + d)^3*s*(mb2 - t)*(ma2 + mb2 - s - t)*INT["PL1x12", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/(8*(ma2 - mb2 - s)) - ((-4 + d)^3*s*(ma2 - s - t)*(ma2 + mb2 - s - t)*INT["PL1x12", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/(8*(ma2 - mb2 - s)) , M["N12", 35] -> -((-4 + d)^4*root*s*(ma2 - 2*s - t)*INT["NPL", 6, 126, 6, 0, {0, 1, 1, 1, 1, 1, 1, 0, 0}])/(16*(ma2 - mb2 - s)) - ((-4 + d)^4*root*INT["NPL", 6, 126, 6, 1, {-1, 1, 1, 1, 1, 1, 1, 0, 0}])/ 16 + ((-4 + d)^4*root*s^2*INT["NPL", 6, 318, 6, 0, {0, 1, 1, 1, 1, 1, 0, 0, 1}])/(16*(-ma2 + mb2 + s)) - ((-4 + d)^4*root*s*(mb2 - t)*INT["NPL", 6, 378, 6, 0, {0, 1, 0, 1, 1, 1, 1, 0, 1}])/(16*(-ma2 + mb2 + s)) + ((-4 + d)^4*root*INT["NPL", 6, 378, 6, 1, {-1, 1, 0, 1, 1, 1, 1, 0, 1}])/ 16 + ((-4 + d)^4*root*s^2*(2*mb2 - t)*INT["NPL", 7, 382, 7, 0, {0, 1, 1, 1, 1, 1, 1, 0, 1}])/(16*(-ma2 + mb2 + s)) - ((-4 + d)^4*root*s^2*INT["NPL", 7, 382, 7, 1, {0, 1, 1, 1, 1, 1, 1, -1, 1}])/(8*(-ma2 + mb2 + s)) - ((-4 + d)^4*root*INT["NPL", 7, 382, 7, 2, {-2, 1, 1, 1, 1, 1, 1, 0, 1}])/ 16 - (3*(-4 + d)^3*root*s*(mb2^2 + ma2*s - mb2*s - s^2 - 2*mb2*t + t^2)* INT["PL1", 3, 38, 5, 0, {0, 2, 2, 0, 0, 1, 0, 0, 0}])/ (64*(-3 + d)*(mb2 - t)*(mb2 - s - t)*(-ma2 + s + t)) - ((-4 + d)^3*mb2*root*(ma2 - mb2 - s)*INT["PL1", 3, 134, 5, 0, {0, 2, 2, 0, 0, 0, 0, 1, 0}])/(64*(-3 + d)*(mb2 - t)*(ma2 - s - t)) + ((-4 + d)^3*root*(ma2 + mb2 - 2*s - 2*t)*(ma2 + mb2 - s - t)* INT["PL1", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/ (64*(-3 + d)*(ma2 - s - t)*(-mb2 + s + t)) + ((-4 + d)^3*ma2*root*INT["PL1", 3, 196, 5, 0, {0, 0, 2, 0, 0, 0, 2, 1, 0}])/ (64*(-3 + d)*(mb2 - s - t)) + ((-4 + d)^4*root*(3*ma2 - 2*mb2 - s - t)* INT["PL1", 4, 149, 5, 0, {1, 0, 1, 0, 2, 0, 0, 1, 0}])/ (32*(-3 + d)*(mb2 - s - t)) - ((-4 + d)^3*root*(-12*ma2^2 + 3*d*ma2^2 + 2*d*ma2*mb2 - 12*mb2^2 + 3*d*mb2^2 + 24*ma2*s - 6*d*ma2*s - 2*d*mb2*s - 12*s^2 + 3*d*s^2 + 24*ma2*t - 8*d*ma2*t + 24*mb2*t - 8*d*mb2*t - 24*s*t + 8*d*s*t - 24*t^2 + 8*d*t^2)*INT["PL1", 4, 166, 5, 0, {0, 2, 1, 0, 0, 1, 0, 1, 0}])/ (32*(-3 + d)*(mb2 - t)*(ma2 - s - t)) - ((-4 + d)^4*root*(2*ma2 - 3*mb2 + s + t)*INT["PL1", 4, 180, 5, 0, {0, 0, 2, 0, 1, 1, 0, 1, 0}])/(32*(-3 + d)*(ma2 - s - t)) - ((-4 + d)^3*root*(-12*ma2 + 3*d*ma2 - 8*mb2 + 3*d*mb2 + 8*s - 3*d*s + 20*t - 6*d*t)*INT["PL1", 4, 197, 5, 0, {1, 0, 1, 0, 0, 0, 2, 1, 0}])/ (32*(-3 + d)*(mb2 - s - t)) - ((-6 + d)*(-4 + d)^3*mb2*root* (ma2 - mb2 - s)*s*INT["PL1", 5, 167, 6, 0, {1, 2, 1, 0, 0, 1, 0, 1, 0}])/ (16*(-3 + d)*(mb2 - t)*(ma2 - s - t)) + ((-4 + d)^3*root*s*(-4*ma2 + d*ma2 + 4*mb2 - d*mb2 + 7*s - 2*d*s)* INT["PL1", 5, 181, 6, 0, {1, 0, 2, 0, 1, 1, 0, 1, 0}])/ (4*(-3 + d)*(ma2 - mb2 - s)) + ((-4 + d)^3*root*INT["PL1", 5, 181, 6, 1, {1, 0, 2, -1, 1, 1, 0, 1, 0}])/ 4 - ((-4 + d)^5*root*(ma2 - 4*s - t)*INT["PL1", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/(64*(-3 + d)*(ma2 - s - t)) + ((-4 + d)^3*root*s*(d*ma2^2 - 28*ma2*mb2 + 8*d*ma2*mb2 + 4*mb2^2 - d*mb2^2 - 2*d*ma2*s + 28*mb2*s - 8*d*mb2*s + d*s^2 + 24*ma2*t - 9*d*ma2*t + 24*mb2*t - 7*d*mb2*t - 24*s*t + 9*d*s*t - 24*t^2 + 8*d*t^2)* INT["PL1", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/ (64*(-3 + d)*(ma2 - mb2 - s)*(ma2 - s - t)) - ((-4 + d)^5*root*(mb2 - 4*s - t)*INT["PL1", 5, 213, 5, 0, {1, 0, 1, 0, 1, 0, 1, 1, 0}])/(64*(-3 + d)*(mb2 - s - t)) + ((-4 + d)^3*root*s*(-4*ma2^2 + d*ma2^2 + 28*ma2*mb2 - 8*d*ma2*mb2 - d*mb2^2 - 20*ma2*s + 6*d*ma2*s - 48*mb2*s + 16*d*mb2*s + 48*s^2 - 15*d*s^2 - 24*ma2*t + 7*d*ma2*t - 24*mb2*t + 9*d*mb2*t + 72*s*t - 23*d*s*t + 24*t^2 - 8*d*t^2)*INT["PL1", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/(64*(-3 + d)*(ma2 - mb2 - s)* (mb2 - s - t)) - ((-6 + d)*(-4 + d)^3*ma2*root*s* INT["PL1", 5, 229, 6, 0, {1, 0, 2, 0, 0, 1, 1, 1, 0}])/ (16*(-3 + d)*(-mb2 + s + t)) + ((-4 + d)^3*root*t*INT["PL1x12", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/(64*(-3 + d)*(mb2 - t)) - ((-4 + d)^4*root*INT["PL1x12", 4, 149, 5, 0, {1, 0, 1, 0, 2, 0, 0, 1, 0}])/ (16*(-3 + d)) + (3*(-4 + d)^4*root*(ma2 - t)*INT["PL1x12", 4, 180, 5, 0, {0, 0, 2, 0, 1, 1, 0, 1, 0}])/(32*(-3 + d)*(mb2 - t)) + ((-4 + d)^3*(-7 + 2*d)*root*s*INT["PL1x12", 5, 181, 6, 0, {1, 0, 2, 0, 1, 1, 0, 1, 0}])/(8*(-3 + d)) + ((-4 + d)^3*(-10 + 3*d)*root*INT["PL1x12", 5, 181, 6, 1, {1, 0, 2, -1, 1, 1, 0, 1, 0}])/(16*(-3 + d)) - ((-4 + d)^5*root*(mb2 + 3*s - t)*INT["PL1x12", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/(64*(-3 + d)*(mb2 - t)) - ((-4 + d)^3*root*s*(-4*ma2*mb2 + 28*mb2^2 - 8*d*mb2^2 + 4*mb2*s + d*ma2*t - 48*mb2*t + 15*d*mb2*t - d*s*t + 24*t^2 - 8*d*t^2)* INT["PL1x12", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/ (64*(-3 + d)*(ma2 - mb2 - s)*(mb2 - t)) - ((-4 + d)^3*root*s*(ma2 - s - t)*INT["PL1x12", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/(8*(ma2 - mb2 - s)) , M["N13", 35] -> -((-4 + d)^4*(ma2^2 - ma2*mb2 - ma2*s - ma2*t + mb2*t)* INT["NPL", 6, 207, 6, 0, {1, 1, 1, 1, 0, 0, 1, 1, 0}])/16 , M["N13", 36] -> -((-4 + d)^4*root*INT["NPL", 6, 207, 6, 1, {1, 1, 1, 1, -1, 0, 1, 1, 0}])/ 16 + ((-4 + d)^4*root*INT["PL1", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/16 , M["N13", 37] -> -((-4 + d)^4*(ma2 - mb2 - s)*(ma2 - t)*INT["NPL", 6, 207, 6, 0, {1, 1, 1, 1, 0, 0, 1, 1, 0}])/16 - ((-4 + d)^4*(ma2 - t)*INT["NPL", 6, 207, 6, 1, {1, 1, 1, 1, 0, 0, 1, 1, -1}])/16 + ((-4 + d)^2*mb2*(ma2 - t)*INT["PL1", 3, 134, 5, 0, {0, 2, 2, 0, 0, 0, 0, 1, 0}])/(16*(ma2 - s - t)) - ((-4 + d)^2*(ma2 - t)*(ma2 + mb2 - s - t)*INT["PL1", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/(16*(ma2 - s - t)) + ((-4 + d)^3*(ma2 - t)*INT["PL1", 4, 149, 5, 0, {1, 0, 1, 0, 2, 0, 0, 1, 0}])/8 + ((-4 + d)^4*(ma2 - s - t)*INT["PL1x12", 5, 213, 5, 0, {1, 0, 1, 0, 1, 0, 1, 1, 0}])/16 , M["N13", 38] -> ((-4 + d)^4*(ma2 - mb2)*(ma2 - s - t)* INT["NPL", 6, 207, 6, 0, {1, 1, 1, 1, 0, 0, 1, 1, 0}])/16 - ((-4 + d)^4*(ma2 - s - t)*INT["NPL", 6, 207, 6, 1, {1, 1, 1, 1, 0, -1, 1, 1, 0}])/16 + ((-4 + d)^4*(ma2 - s - t)*INT["NPL", 6, 207, 6, 1, {1, 1, 1, 1, 0, 0, 1, 1, -1}])/16 - ((-4 + d)^2*ma2*(ma2 - s - t)*INT["PL1", 3, 196, 5, 0, {0, 0, 2, 0, 0, 0, 2, 1, 0}])/(16*(ma2 - t)) + ((-4 + d)^4*s*INT["PL1", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/16 + ((-4 + d)^2*(ma2 - s - t)*t*INT["PL1x12", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/(16*(ma2 - t)) + ((-4 + d)^3*(ma2 - s - t)*INT["PL1x12", 4, 180, 5, 0, {0, 0, 2, 0, 1, 1, 0, 1, 0}])/8 - ((-4 + d)^4*(ma2 - s - t)*INT["PL1x12", 5, 213, 5, 0, {1, 0, 1, 0, 1, 0, 1, 1, 0}])/16 + ((-4 + d)^4*(ma2 - s - t)*INT["PL2", 5, 213, 5, 0, {1, 0, 1, 0, 1, 0, 1, 1, 0}])/16 , M["N13", 40] -> ((-4 + d)^4*(ma2 - t)^2*INT["NPLx12", 6, 252, 6, 0, {0, 0, 1, 1, 1, 1, 1, 1, 0}])/16 , M["N13", 42] -> ((-4 + d)^4*s*(mb2 - s - t)*t*INT["NPL", 6, 126, 6, 0, {0, 1, 1, 1, 1, 1, 1, 0, 0}])/(16*(mb2 - t)) - ((-4 + d)^4*s*(mb2 - s - t)*t*INT["NPL", 6, 126, 6, 1, {-1, 1, 1, 1, 1, 1, 1, 0, 0}])/(4*(ma2 - t)*(mb2 - t)) + ((-4 + d)^4*s*(3*ma2 - 2*mb2 - 3*s - t)*t*INT["NPL", 6, 207, 6, 0, {1, 1, 1, 1, 0, 0, 1, 1, 0}])/(16*(mb2 - t)) - ((-4 + d)^4*s*t*INT["NPL", 6, 207, 6, 1, {1, 1, 1, 1, 0, 0, 1, 1, -1}])/ (4*(-mb2 + t)) + ((-4 + d)^4*s*(ma2 - t)*t*INT["NPLx12", 6, 252, 6, 0, {0, 0, 1, 1, 1, 1, 1, 1, 0}])/(16*(-mb2 + t)) + ((-4 + d)^4*s*t*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["NPLx12", 7, 254, 7, 0, {0, 1, 1, 1, 1, 1, 1, 1, 0}])/ (16*(mb2 - t)) + ((-4 + d)^4*s*t^2*INT["NPLx12", 7, 254, 7, 1, {-1, 1, 1, 1, 1, 1, 1, 1, 0}])/(8*(-mb2 + t)) - (3*(-4 + d)^2*s^2*t*INT["PL1", 3, 38, 5, 0, {0, 2, 2, 0, 0, 1, 0, 0, 0}])/ (16*(ma2 - t)*(-mb2 + t)) + ((-4 + d)^2*mb2*s*t*INT["PL1", 3, 134, 5, 0, {0, 2, 2, 0, 0, 0, 0, 1, 0}])/ (4*(mb2 - t)*(-ma2 + s + t)) - ((-4 + d)^2*s*(ma2 + mb2 - s - t)* (ma2 + s - t)*t*INT["PL1", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/ (8*(ma2 - t)*(ma2 - s - t)*(-mb2 + t)) + (3*(-4 + d)^2*ma2*s*t*INT["PL1", 3, 196, 5, 0, {0, 0, 2, 0, 0, 0, 2, 1, 0}])/(16*(ma2 - t)*(-mb2 + t)) + ((-4 + d)^3*s*t*INT["PL1", 4, 149, 5, 0, {1, 0, 1, 0, 2, 0, 0, 1, 0}])/ (2*(-mb2 + t)) + ((-4 + d)^3*s*(mb2 - s - t)*t*INT["PL1", 4, 180, 5, 0, {0, 0, 2, 0, 1, 1, 0, 1, 0}])/(4*(ma2 - t)*(mb2 - t)) + (3*(-4 + d)^3*s*(ma2 - mb2 + s)*t*INT["PL1", 4, 197, 5, 0, {1, 0, 1, 0, 0, 0, 2, 1, 0}])/(8*(ma2 - t)*(-mb2 + t)) + ((-4 + d)^4*s*t*(ma2 - 2*mb2 + 2*s + t)*INT["PL1", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/(8*(ma2 - t)*(-mb2 + t)) - ((-4 + d)^3*s^2*(ma2 + mb2 - s - t)*t*INT["PL1", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/(8*(ma2 - t)*(-mb2 + t)) - ((-6 + d)*(-4 + d)^2*ma2*s^2*t*INT["PL1", 5, 229, 6, 0, {1, 0, 2, 0, 0, 1, 1, 1, 0}])/(4*(ma2 - t)*(-mb2 + t)) - (5*(-4 + d)^2*s*t^2*INT["PL1x12", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/(16*(ma2 - t)*(-mb2 + t)) - (3*(-4 + d)^3*s*t*INT["PL1x12", 4, 149, 5, 0, {1, 0, 1, 0, 2, 0, 0, 1, 0}])/ (8*(ma2 - t)) - (3*(-4 + d)^3*s*t*INT["PL1x12", 4, 180, 5, 0, {0, 0, 2, 0, 1, 1, 0, 1, 0}])/(4*(-mb2 + t)) - ((-4 + d)^3*s*t*INT["PL1x12", 4, 204, 5, 0, {0, 0, 1, 1, 0, 0, 2, 1, 0}])/ (2*(-mb2 + t)) + ((-4 + d)^4*s*(mb2 - s - t)*t*INT["PL1x12", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/(8*(mb2 - t)*(-ma2 + t)) - ((-4 + d)^3*s^2*t^2*INT["PL1x12", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/(8*(-ma2 + t)*(-mb2 + t)) + (3*(-4 + d)^4*s*(ma2 - s - t)*t*INT["PL1x12", 5, 213, 5, 0, {1, 0, 1, 0, 1, 0, 1, 1, 0}])/(16*(ma2 - t)*(-mb2 + t)) - ((-4 + d)^3*s^2*t^2*INT["PL1x12", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/(16*(ma2 - t)*(-mb2 + t)) + ((-4 + d)^4*s*t*INT["PL1x12", 5, 436, 5, 0, {0, 0, 1, 0, 1, 1, 0, 1, 1}])/ (4*(-mb2 + t)) + ((-4 + d)^4*mb2*s*t*INT["PL1x12", 6, 438, 6, 0, {0, 1, 1, 0, 1, 1, 0, 1, 1}])/(8*(mb2 - t)) - ((-4 + d)^3*s*t*INT["PL2", 5, 181, 6, 0, {1, 0, 1, 0, 2, 1, 0, 1, 0}])/4 + ((-4 + d)^3*s*t*INT["PL2", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/8 - ((-4 + d)^3*mb2*s*t*INT["PL2", 5, 213, 6, 0, {2, 0, 1, 0, 1, 0, 1, 1, 0}])/ (4*(mb2 - t)) , M["N13", 43] -> ((-4 + d)^4*s*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["NPL", 6, 126, 6, 0, {0, 1, 1, 1, 1, 1, 1, 0, 0}])/(16*(mb2 - t)) + ((-4 + d)^4*(mb2 - s - t)*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["NPL", 6, 126, 6, 1, {-1, 1, 1, 1, 1, 1, 1, 0, 0}])/ (4*(ma2 - t)*(mb2 - t)) - (3*(-4 + d)^4*(ma2 - mb2 - s)* (ma2*mb2 - ma2*t - mb2*t + s*t + t^2)*INT["NPL", 6, 207, 6, 0, {1, 1, 1, 1, 0, 0, 1, 1, 0}])/(16*(mb2 - t)) - ((-4 + d)^4*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["NPL", 6, 207, 6, 1, {1, 1, 1, 1, 0, 0, 1, 1, -1}])/(4*(mb2 - t)) + ((-4 + d)^4*(ma2 - t)*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["NPLx12", 6, 252, 6, 0, {0, 0, 1, 1, 1, 1, 1, 1, 0}])/ (16*(mb2 - t)) - ((-4 + d)^4*s*t*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["NPLx12", 7, 254, 7, 0, {0, 1, 1, 1, 1, 1, 1, 1, 0}])/ (16*(mb2 - t)) + ((-4 + d)^4*t*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["NPLx12", 7, 254, 7, 1, {-1, 1, 1, 1, 1, 1, 1, 1, 0}])/ (8*(mb2 - t)) - (3*(-4 + d)^2*s*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1", 3, 38, 5, 0, {0, 2, 2, 0, 0, 1, 0, 0, 0}])/ (16*(ma2 - t)*(mb2 - t)) + ((-4 + d)^2*mb2*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1", 3, 134, 5, 0, {0, 2, 2, 0, 0, 0, 0, 1, 0}])/ (4*(mb2 - t)*(ma2 - s - t)) - ((-4 + d)^2*(ma2 + mb2 - s - t)* (ma2 + s - t)*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/ (8*(ma2 - t)*(mb2 - t)*(ma2 - s - t)) + (3*(-4 + d)^2*ma2*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1", 3, 196, 5, 0, {0, 0, 2, 0, 0, 0, 2, 1, 0}])/ (16*(ma2 - t)*(mb2 - t)) + ((-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1", 4, 149, 5, 0, {1, 0, 1, 0, 2, 0, 0, 1, 0}])/(2*(mb2 - t)) - ((-4 + d)^3*(mb2 - s - t)*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1", 4, 180, 5, 0, {0, 0, 2, 0, 1, 1, 0, 1, 0}])/ (4*(ma2 - t)*(mb2 - t)) + (3*(-4 + d)^3*(ma2 - mb2 + s)* (ma2*mb2 - ma2*t - mb2*t + s*t + t^2)*INT["PL1", 4, 197, 5, 0, {1, 0, 1, 0, 0, 0, 2, 1, 0}])/(8*(ma2 - t)*(mb2 - t)) + ((-4 + d)^4*(ma2 - 2*mb2 + 2*s + t)*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/ (8*(ma2 - t)*(mb2 - t)) - ((-4 + d)^3*s*(ma2 + mb2 - s - t)* (ma2*mb2 - ma2*t - mb2*t + s*t + t^2)*INT["PL1", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/(8*(ma2 - t)*(mb2 - t)) - ((-6 + d)*(-4 + d)^2*ma2*s*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1", 5, 229, 6, 0, {1, 0, 2, 0, 0, 1, 1, 1, 0}])/ (4*(ma2 - t)*(mb2 - t)) - (5*(-4 + d)^2*t*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1x12", 3, 148, 5, 0, {0, 0, 2, 0, 2, 0, 0, 1, 0}])/ (16*(ma2 - t)*(mb2 - t)) + (3*(-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1x12", 4, 149, 5, 0, {1, 0, 1, 0, 2, 0, 0, 1, 0}])/(8*(ma2 - t)) - (3*(-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1x12", 4, 180, 5, 0, {0, 0, 2, 0, 1, 1, 0, 1, 0}])/(4*(mb2 - t)) - ((-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1x12", 4, 204, 5, 0, {0, 0, 1, 1, 0, 0, 2, 1, 0}])/(2*(mb2 - t)) + ((-4 + d)^4*(mb2 - s - t)*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1x12", 5, 182, 5, 0, {0, 1, 1, 0, 1, 1, 0, 1, 0}])/ (8*(ma2 - t)*(mb2 - t)) + ((-4 + d)^3*s*t*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1x12", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/ (8*(ma2 - t)*(mb2 - t)) + (3*(-4 + d)^4*(ma2 - s - t)* (ma2*mb2 - ma2*t - mb2*t + s*t + t^2)*INT["PL1x12", 5, 213, 5, 0, {1, 0, 1, 0, 1, 0, 1, 1, 0}])/(16*(ma2 - t)*(mb2 - t)) - ((-4 + d)^3*s*t*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1x12", 5, 213, 6, 0, {1, 0, 2, 0, 1, 0, 1, 1, 0}])/ (16*(ma2 - t)*(mb2 - t)) + ((-4 + d)^4*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1x12", 5, 436, 5, 0, {0, 0, 1, 0, 1, 1, 0, 1, 1}])/(4*(mb2 - t)) - ((-4 + d)^4*mb2*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL1x12", 6, 438, 6, 0, {0, 1, 1, 0, 1, 1, 0, 1, 1}])/(8*(mb2 - t)) + ((-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 5, 181, 6, 0, {1, 0, 1, 0, 2, 1, 0, 1, 0}])/4 - ((-4 + d)^3*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 5, 182, 6, 0, {0, 1, 2, 0, 1, 1, 0, 1, 0}])/8 + ((-4 + d)^3*mb2*(ma2*mb2 - ma2*t - mb2*t + s*t + t^2)* INT["PL2", 5, 213, 6, 0, {2, 0, 1, 0, 1, 0, 1, 1, 0}])/(4*(mb2 - t)) , M["N34", 47] -> ((-4 + d)^4*(ma2^2 - 2*ma2*mb2 + mb2^2 - 2*ma2*s - 2*mb2*s + s^2)*INT["NPL", 6, 231, 6, 0, {1, 1, 1, 0, 0, 1, 1, 1, 0}])/16 , M["N34", 50] -> -((-4 + d)^4*s*(ma2 + mb2 - s - t)*INT["NPL", 6, 207, 6, 0, {1, 1, 1, 1, 0, 0, 1, 1, 0}])/32 + ((-4 + d)^4*s*(ma2*mb2 - mb2^2 + mb2*s - ma2*t + mb2*t + s*t)* INT["NPL", 7, 239, 7, 0, {1, 1, 1, 1, 0, 1, 1, 1, 0}])/32 + ((-4 + d)^4*s*(ma2 + mb2 - s - 2*t)*INT["NPL", 7, 239, 7, 1, {1, 1, 1, 1, 0, 1, 1, 1, -1}])/32 - ((-4 + d)^4*s*t*INT["NPLx12", 6, 207, 6, 0, {1, 1, 1, 1, 0, 0, 1, 1, 0}])/ 32 - ((-4 + d)^4*s*(ma2 + mb2 - s - 2*t)*INT["PL1", 6, 215, 6, 0, {1, 1, 1, 0, 1, 0, 1, 1, 0}])/32 - ((-4 + d)^4*s*(ma2 + mb2 - s - 2*t)*INT["PL1", 6, 246, 6, 0, {0, 1, 1, 0, 1, 1, 1, 1, 0}])/32 + ((-4 + d)^4*s*(ma2 + mb2 - s - 2*t)*INT["PL1x12", 6, 246, 6, 0, {0, 1, 1, 0, 1, 1, 1, 1, 0}])/32 , M["N34", 51] -> -((-4 + d)^4*root*(ma2 - s - t)*INT["NPL", 6, 207, 6, 0, {1, 1, 1, 1, 0, 0, 1, 1, 0}])/16 + ((-4 + d)^4*root*s*(mb2 - t)*INT["NPL", 7, 239, 7, 0, {1, 1, 1, 1, 0, 1, 1, 1, 0}])/16 - ((-4 + d)^4*root*s*INT["NPL", 7, 239, 7, 1, {1, 1, 1, 1, 0, 1, 1, 1, -1}])/ 16 - ((-4 + d)^4*root*(mb2 - t)*INT["NPLx12", 6, 207, 6, 0, {1, 1, 1, 1, 0, 0, 1, 1, 0}])/16 + ((-4 + d)^4*root*s*INT["PL1", 6, 215, 6, 0, {1, 1, 1, 0, 1, 0, 1, 1, 0}])/ 16 + ((-4 + d)^4*root*s*INT["PL1", 6, 246, 6, 0, {0, 1, 1, 0, 1, 1, 1, 1, 0}])/16 - ((-4 + d)^4*root*s*INT["PL1x12", 6, 246, 6, 0, {0, 1, 1, 0, 1, 1, 1, 1, 0}])/16 }