################################ # Diagram information ################################ name = "acn" edges = [[1, 4], [1, 2], [2, 3], [3, 4], [1, 3]] nodes = [1, 2, 3, 4] internal_masses = [m2, m2, m2, m2, m2] external_masses = [M2, M2, M2, M2] U = x[1]*x[2] + x[1]*x[3] + x[1]*x[5] + x[2]*x[4] + x[2]*x[5] + x[3]*x[4] + x[3]*x[5] + x[4]*x[5] F = -m2*x[1]^2*x[2] - m2*x[1]^2*x[3] - m2*x[1]^2*x[5] - m2*x[1]*x[2]^2 + (M2 - 2*m2)*x[1]*x[2]*x[3] + (M2 - 2*m2)*x[1]*x[2]*x[4] + (M2 - 3*m2)*x[1]*x[2]*x[5] - m2*x[1]*x[3]^2 + (M2 - 2*m2)*x[1]*x[3]*x[4] + (-3*m2 + s)*x[1]*x[3]*x[5] + (M2 - 2*m2)*x[1]*x[4]*x[5] - m2*x[1]*x[5]^2 - m2*x[2]^2*x[4] - m2*x[2]^2*x[5] + (M2 - 2*m2)*x[2]*x[3]*x[4] + (M2 - 2*m2)*x[2]*x[3]*x[5] - m2*x[2]*x[4]^2 + (-3*m2 + t)*x[2]*x[4]*x[5] - m2*x[2]*x[5]^2 - m2*x[3]^2*x[4] - m2*x[3]^2*x[5] - m2*x[3]*x[4]^2 + (M2 - 3*m2)*x[3]*x[4]*x[5] - m2*x[3]*x[5]^2 - m2*x[4]^2*x[5] - m2*x[4]*x[5]^2 parameters = [M2, m2, s, t] variables = [x[1], x[2], x[3], x[4], x[5]] χ_generic = 55 f_vector = [24, 66, 73, 39, 10] ################################ # Component 1 ################################ D[1] = M2 χ[1] = 25 weights[1] = [[-1, 0, 1, -1, 1], [-1, 1, 0, -1, 1], [-1, 1, 1, -1, 0], [0, -1, -1, 1, 1], [1, -1, -1, 0, 1], [1, -1, -1, 1, 0], [-1, 0, 0, -1, 1], [-1, -1, 0, 0, -1], [-1, 0, 1, -1, 0], [-1, 1, 0, -1, 0], [0, -1, -1, 0, 1], [0, -1, -1, 1, 0], [1, -1, -1, 0, 0], [0, 0, -1, -1, -1], [-1, 0, 0, -1, 0], [0, 0, 0, 1, 1], [0, 0, 1, 1, 0], [0, 0, 1, 0, 1], [0, 1, 0, 0, 1], [0, 1, 1, 0, 0], [0, -1, -1, 0, 0], [1, 0, 0, 0, 1], [1, 0, 0, 1, 0], [1, 1, 0, 0, 0], [0, 0, 0, 0, 1]] computed_with[1] = ["PLD_sym", "PLD_num"] ################################ # Component 2 ################################ D[2] = M2 - 1//4*s χ[2] = 49 weights[2] = [[-1, -1, -1, 0, -1], [-1, 0, -1, -1, -1], [0, 0, 0, 1, 0], [0, 1, 0, 0, 0]] computed_with[2] = ["PLD_num", "HyperInt"] ################################ # Component 3 ################################ D[3] = M2 - 1//4*s - 1//4*t χ[3] = 51 weights[3] = [[-1, -1, -1, -1, -1], [0, 0, 0, 0, 0]] computed_with[3] = ["PLD_num", "HyperInt"] ################################ # Component 4 ################################ D[4] = M2 - 1//4*t χ[4] = 49 weights[4] = [[-1, -1, 0, -1, -1], [0, -1, -1, -1, -1], [0, 0, 1, 0, 0], [1, 0, 0, 0, 0]] computed_with[4] = ["PLD_num", "HyperInt"] ################################ # Component 5 ################################ D[5] = M2 - 4*m2 χ[5] = 42 weights[5] = [[-1, 0, 1, -1, 1], [-1, 1, 0, -1, 1], [-1, 1, 1, -1, 0], [0, -1, -1, 1, 1], [1, -1, -1, 0, 1], [1, -1, -1, 1, 0], [-1, 0, 0, -1, 1], [-1, 0, 1, -1, 0], [-1, 1, 0, -1, 0], [0, -1, -1, 0, 1], [0, -1, -1, 1, 0], [1, -1, -1, 0, 0], [-1, 0, 0, -1, 0], [-1, -1, -1, -1, 0], [0, -1, -1, 0, 0]] computed_with[5] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 6 ################################ D[6] = M2 - 9*m2 χ[6] = 53 weights[6] = [[-1, -1, 0, 0, -1], [0, 0, -1, -1, -1]] computed_with[6] = ["PLD_sym", "HyperInt"] ################################ # Component 7 ################################ D[7] = M2 - m2 χ[7] = 49 weights[7] = [[-1, -1, 0, 0, -1], [-1, -1, 0, 0, -1], [-1, -1, 0, 0, -1], [0, 0, -1, -1, -1], [0, 0, -1, -1, -1], [0, 0, -1, -1, -1]] computed_with[7] = ["PLD_sym", "HyperInt"] ################################ # Component 8 ################################ D[8] = M2^2*m2^2 - 1//4*M2^2*s*t - 5//4*M2*m2^2*s - 5//4*M2*m2^2*t + 5//4*M2*m2*s*t + 1//4*m2^2*s^2 + 1//2*m2^2*s*t + 1//4*m2^2*t^2 - 1//4*m2*s^2*t - 1//4*m2*s*t^2 χ[8] = 53 weights[8] = [[-1, -1, -1, -1, -1]] computed_with[8] = ["PLD_num", "HyperInt"] ################################ # Component 9 ################################ D[9] = M2^2*s + 9*M2*m2^2 - 7*M2*m2*s + m2*s^2 χ[9] = 53 weights[9] = [[-1, -1, -1, 0, -1], [-1, 0, -1, -1, -1]] computed_with[9] = ["PLD_num", "HyperInt"] ################################ # Component 10 ################################ D[10] = M2^2*s + M2*m2^2 - 3*M2*m2*s + m2*s^2 χ[10] = 51 weights[10] = [] computed_with[10] = ["HyperInt"] ################################ # Component 11 ################################ D[11] = M2^2*t + 9*M2*m2^2 - 7*M2*m2*t + m2*t^2 χ[11] = 53 weights[11] = [[-1, -1, 0, -1, -1], [0, -1, -1, -1, -1]] computed_with[11] = ["PLD_num", "HyperInt"] ################################ # Component 12 ################################ D[12] = M2^2*t + M2*m2^2 - 3*M2*m2*t + m2*t^2 χ[12] = 51 weights[12] = [] computed_with[12] = ["HyperInt"] ################################ # Component 13 ################################ D[13] = M2^4*s*t - 4*M2^3*m2*s*t - 1//4*M2^3*s^2*t - 1//4*M2^3*s*t^2 + M2^2*m2^2*s^2 + 2*M2^2*m2^2*s*t + M2^2*m2^2*t^2 + 3//2*M2^2*m2*s^2*t + 3//2*M2^2*m2*s*t^2 + 1//16*M2^2*s^2*t^2 - 1//2*M2*m2^2*s^3 - 3//2*M2*m2^2*s^2*t - 3//2*M2*m2^2*s*t^2 - 1//2*M2*m2^2*t^3 - 1//8*M2*m2*s^3*t - 1//4*M2*m2*s^2*t^2 - 1//8*M2*m2*s*t^3 + 1//16*m2^2*s^4 + 1//4*m2^2*s^3*t + 3//8*m2^2*s^2*t^2 + 1//4*m2^2*s*t^3 + 1//16*m2^2*t^4 χ[13] = 53 weights[13] = [] computed_with[13] = ["HyperInt"] ################################ # Component 14 ################################ D[14] = M2^6*s*t - 9*M2^5*m2*s*t + 9//16*M2^4*m2^2*s^2 + 225//8*M2^4*m2^2*s*t + 9//16*M2^4*m2^2*t^2 + 3//4*M2^4*m2*s^2*t + 3//4*M2^4*m2*s*t^2 - 1//2*M2^4*s^2*t^2 - 27//8*M2^3*m2^3*s^2 - 135//4*M2^3*m2^3*s*t - 27//8*M2^3*m2^3*t^2 - 63//8*M2^3*m2^2*s^2*t - 63//8*M2^3*m2^2*s*t^2 + 21//4*M2^3*m2*s^2*t^2 + 81//16*M2^2*m2^4*s^2 + 81//8*M2^2*m2^4*s*t + 81//16*M2^2*m2^4*t^2 + 9//16*M2^2*m2^3*s^3 + 297//16*M2^2*m2^3*s^2*t + 297//16*M2^2*m2^3*s*t^2 + 9//16*M2^2*m2^3*t^3 + 9//16*M2^2*m2^2*s^3*t - 189//16*M2^2*m2^2*s^2*t^2 + 9//16*M2^2*m2^2*s*t^3 - 11//16*M2^2*m2*s^3*t^2 - 11//16*M2^2*m2*s^2*t^3 + 1//16*M2^2*s^3*t^3 - 27//8*M2*m2^4*s^3 - 81//8*M2*m2^4*s^2*t - 81//8*M2*m2^4*s*t^2 - 27//8*M2*m2^4*t^3 + 21//8*M2*m2^2*s^3*t^2 + 21//8*M2*m2^2*s^2*t^3 - 1//4*M2*m2*s^3*t^3 + 9//16*m2^4*s^4 + 9//4*m2^4*s^3*t + 27//8*m2^4*s^2*t^2 + 9//4*m2^4*s*t^3 + 9//16*m2^4*t^4 - 5//8*m2^3*s^4*t - 15//8*m2^3*s^3*t^2 - 15//8*m2^3*s^2*t^3 - 5//8*m2^3*s*t^4 + 1//16*m2^2*s^4*t^2 + 1//8*m2^2*s^3*t^3 + 1//16*m2^2*s^2*t^4 χ[14] = 54 weights[14] = [[-1, -1, -1, -1, -1]] computed_with[14] = ["PLD_num", "HyperInt"] ################################ # Component 15 ################################ D[15] = m2 χ[15] = 20 weights[15] = [[-1, 0, 1, 0, 1], [-1, 1, 0, 0, 1], [-1, 1, 1, 0, 0], [0, -1, 0, 1, 1], [0, 0, -1, 1, 1], [0, 1, 1, 1, -1], [1, -1, 0, 0, 1], [1, -1, 0, 1, 0], [0, 0, 1, -1, 1], [1, 0, 1, 1, -1], [1, 0, -1, 0, 1], [1, 0, -1, 1, 0], [0, 1, 0, -1, 1], [1, 1, 0, 1, -1], [0, 1, 1, -1, 0], [1, 1, 1, 0, -1], [-1, 0, 0, 0, 1], [-1, 0, 1, 0, 0], [-1, -1, 0, 0, 0], [-1, 1, 0, 0, 0], [-1, 0, -1, 0, 0], [-1, 0, 0, 0, -1], [0, -1, 0, 0, 1], [0, -1, 0, 1, 0], [0, 0, -1, 0, 1], [0, 0, -1, 1, 0], [0, 0, 1, 1, -1], [0, 1, 0, 1, -1], [0, 1, 1, 0, -1], [1, -1, 0, 0, 0], [0, -1, 0, -1, 0], [0, -1, 0, 0, -1], [0, 0, 0, -1, 1], [0, 0, 1, -1, 0], [1, 0, 0, 1, -1], [1, 0, 1, 0, -1], [1, 0, -1, 0, 0], [0, 0, -1, -1, 0], [0, 0, -1, 0, -1], [0, 1, 0, -1, 0], [1, 1, 0, 0, -1], [0, 0, 0, -1, -1], [-1, 0, 0, 0, 0], [0, -1, 0, 0, 0], [0, 0, -1, 0, 0], [0, 0, 0, 1, -1], [0, 0, 1, 0, -1], [0, 1, 0, 0, -1], [0, 0, 0, -1, 0], [1, 0, 0, 0, -1], [0, 0, 0, 0, -1]] computed_with[15] = ["PLD_sym", "PLD_num"] ################################ # Component 16 ################################ D[16] = m2 - 1//9*s χ[16] = 54 weights[16] = [[-1, 0, -1, 0, -1]] computed_with[16] = ["PLD_sym", "HyperInt"] ################################ # Component 17 ################################ D[17] = m2 - 1//9*t χ[17] = 54 weights[17] = [[0, -1, 0, -1, -1]] computed_with[17] = ["PLD_sym", "HyperInt"] ################################ # Component 18 ################################ D[18] = m2 - s χ[18] = 52 weights[18] = [[-1, 0, -1, 0, -1], [-1, 0, -1, 0, -1], [-1, 0, -1, 0, -1]] computed_with[18] = ["PLD_sym", "HyperInt"] ################################ # Component 19 ################################ D[19] = m2 - t χ[19] = 51 weights[19] = [[0, -1, 0, -1, -1], [0, -1, 0, -1, -1], [0, -1, 0, -1, -1]] computed_with[19] = ["PLD_sym", "HyperInt"] ################################ # Component 20 ################################ D[20] = s χ[20] = 43 weights[20] = [[-1, 0, -1, 0, -1], [0, 1, 0, 1, 0]] computed_with[20] = ["PLD_sym", "PLD_num"] ################################ # Component 21 ################################ D[21] = s + t χ[21] = 54 weights[21] = [] computed_with[21] = ["HyperInt"] ################################ # Component 22 ################################ D[22] = t χ[22] = 43 weights[22] = [[0, -1, 0, -1, -1], [1, 0, 1, 0, 0]] computed_with[22] = ["PLD_sym", "PLD_num"]