################################ # Diagram information ################################ name = "debox" edges = [[1, 4], [1, 2], [2, 3], [3, 4], [3, 4]] nodes = [1, 2, 3, 4] internal_masses = [m2, m2, m2, m2, m2] external_masses = [M[1], M[2], M[3], M[4]] U = x[1]*x[4] + 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[4] - m2*x[1]^2*x[5] + (M[1] - 2*m2)*x[1]*x[2]*x[4] + (M[1] - 2*m2)*x[1]*x[2]*x[5] + (-2*m2 + s)*x[1]*x[3]*x[4] + (-2*m2 + s)*x[1]*x[3]*x[5] - m2*x[1]*x[4]^2 + (M[4] - 3*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] + (M[2] - 2*m2)*x[2]*x[3]*x[4] + (M[2] - 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 + (M[3] - 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 = [M[1], M[2], M[3], M[4], m2, s, t] variables = [x[1], x[2], x[3], x[4], x[5]] χ_generic = 43 f_vector = [21, 57, 64, 36, 10] ################################ # Component 1 ################################ D[1] = M[1] χ[1] = 37 weights[1] = [[-1, -1, 0, 0, 1], [-1, -1, 0, 1, 0], [-1, -1, 0, 0, 0], [0, 0, 1, 0, 1], [0, 0, 1, 1, 0]] computed_with[1] = ["PLD_sym", "PLD_num"] ################################ # Component 2 ################################ D[2] = M[1] - 4*m2 χ[2] = 40 weights[2] = [[-1, -1, 0, 0, 1], [-1, -1, 0, 1, 0], [-1, -1, 0, 0, 0]] computed_with[2] = ["PLD_sym", "HyperInt"] ################################ # Component 3 ################################ D[3] = M[1]*M[4]*m2 - M[1]*M[4]*t - M[1]*m2^2 + M[1]*m2*t - M[4]^2*m2 + 2*M[4]*m2*t - m2*t^2 χ[3] = 41 weights[3] = [] computed_with[3] = ["HyperInt"] ################################ # Component 4 ################################ D[4] = M[1]^2 - 2*M[1]*M[2] - 2*M[1]*s + M[2]^2 - 2*M[2]*s + s^2 χ[4] = 40 weights[4] = [[-1, -1, -1, -1, 0], [0, 0, 0, 1, 2], [-1, -1, -1, 0, -1], [0, 0, 0, 2, 1], [0, 0, 0, 1, 1], [0, 0, 0, 0, 1], [0, 0, 0, 1, 0]] computed_with[4] = ["PLD_num", "HyperInt"] ################################ # Component 5 ################################ D[5] = M[1]^2 - 2*M[1]*M[4] - 2*M[1]*t + M[4]^2 - 2*M[4]*t + t^2 χ[5] = 40 weights[5] = [[-1, -1, 0, -1, -1], [0, 0, 1, 0, 0]] computed_with[5] = ["PLD_num", "HyperInt"] ################################ # Component 6 ################################ D[6] = M[1]^2*M[3] - M[1]*M[2]*M[3] - M[1]*M[2]*M[4] + M[1]*M[2]*s + M[1]*M[3]^2 - M[1]*M[3]*M[4] - M[1]*M[3]*s - M[1]*M[3]*t + M[1]*M[4]*t - M[1]*s*t + M[2]^2*M[4] - M[2]*M[3]*M[4] + M[2]*M[3]*t + M[2]*M[4]^2 - M[2]*M[4]*s - M[2]*M[4]*t - M[2]*s*t + M[3]*M[4]*s - M[3]*s*t - M[4]*s*t + s^2*t + s*t^2 χ[6] = 40 weights[6] = [[-1, -1, -1, -1, -1], [0, 0, 0, 0, 0]] computed_with[6] = ["PLD_num", "HyperInt"] ################################ # Component 7 ################################ D[7] = M[1]^2*M[3]^2 - 10*M[1]^2*M[3]*m2 + 9*M[1]^2*m2^2 - 2*M[1]*M[2]*M[3]*M[4] + 10*M[1]*M[2]*M[3]*m2 + 10*M[1]*M[2]*M[4]*m2 - 18*M[1]*M[2]*m2^2 - 16*M[1]*M[2]*m2*s - 4*M[1]*M[3]^2*m2 + 4*M[1]*M[3]*M[4]*m2 + 10*M[1]*M[3]*m2*s + 4*M[1]*M[3]*m2*t - 2*M[1]*M[3]*s*t - 4*M[1]*M[4]*m2*t - 18*M[1]*m2^2*s + 10*M[1]*m2*s*t + M[2]^2*M[4]^2 - 10*M[2]^2*M[4]*m2 + 9*M[2]^2*m2^2 + 4*M[2]*M[3]*M[4]*m2 - 4*M[2]*M[3]*m2*t - 4*M[2]*M[4]^2*m2 + 10*M[2]*M[4]*m2*s + 4*M[2]*M[4]*m2*t - 2*M[2]*M[4]*s*t - 18*M[2]*m2^2*s + 10*M[2]*m2*s*t - 4*M[3]*M[4]*m2*s + 4*M[3]*m2*s*t + 4*M[4]*m2*s*t + 9*m2^2*s^2 - 10*m2*s^2*t - 4*m2*s*t^2 + s^2*t^2 χ[7] = 42 weights[7] = [[-1, -1, -1, -1, -1]] computed_with[7] = ["PLD_num", "HyperInt"] ################################ # Component 8 ################################ D[8] = M[1]^2*M[3]^2 - 2*M[1]^2*M[3]*m2 + M[1]^2*m2^2 - 2*M[1]*M[2]*M[3]*M[4] + 2*M[1]*M[2]*M[3]*m2 + 2*M[1]*M[2]*M[4]*m2 - 2*M[1]*M[2]*m2^2 - 4*M[1]*M[3]^2*m2 + 4*M[1]*M[3]*M[4]*m2 + 2*M[1]*M[3]*m2*s + 4*M[1]*M[3]*m2*t - 2*M[1]*M[3]*s*t - 4*M[1]*M[4]*m2*t - 2*M[1]*m2^2*s + 2*M[1]*m2*s*t + M[2]^2*M[4]^2 - 2*M[2]^2*M[4]*m2 + M[2]^2*m2^2 + 4*M[2]*M[3]*M[4]*m2 - 4*M[2]*M[3]*m2*t - 4*M[2]*M[4]^2*m2 + 2*M[2]*M[4]*m2*s + 4*M[2]*M[4]*m2*t - 2*M[2]*M[4]*s*t - 2*M[2]*m2^2*s + 2*M[2]*m2*s*t - 4*M[3]*M[4]*m2*s + 4*M[3]*m2*s*t + 4*M[4]*m2*s*t + m2^2*s^2 - 2*m2*s^2*t - 4*m2*s*t^2 + s^2*t^2 χ[8] = 41 weights[8] = [] computed_with[8] = ["HyperInt"] ################################ # Component 9 ################################ D[9] = M[1]^2*m2 - 2*M[1]*M[2]*m2 + M[1]*M[2]*s - 2*M[1]*m2*s + M[2]^2*m2 - 2*M[2]*m2*s + m2*s^2 χ[9] = 40 weights[9] = [[-1, -1, -1, 0, 1], [-1, -1, -1, 1, 0], [-1, -1, -1, 0, 0]] computed_with[9] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 10 ################################ D[10] = M[1]^2*m2 - 5//4*M[1]*M[4]*m2 + 1//4*M[1]*M[4]*t + 9//4*M[1]*m2^2 - 5//4*M[1]*m2*t + 1//4*M[4]^2*m2 - 1//2*M[4]*m2*t + 1//4*m2*t^2 χ[10] = 42 weights[10] = [[-1, -1, 0, -1, -1]] computed_with[10] = ["PLD_num", "HyperInt"] ################################ # Component 11 ################################ D[11] = M[2] χ[11] = 37 weights[11] = [[0, -1, -1, 0, 1], [0, -1, -1, 1, 0], [0, -1, -1, 0, 0], [1, 0, 0, 0, 1], [1, 0, 0, 1, 0]] computed_with[11] = ["PLD_sym", "PLD_num"] ################################ # Component 12 ################################ D[12] = M[2] - 4*m2 χ[12] = 40 weights[12] = [[0, -1, -1, 0, 1], [0, -1, -1, 1, 0], [0, -1, -1, 0, 0]] computed_with[12] = ["PLD_sym", "HyperInt"] ################################ # Component 13 ################################ D[13] = M[2]*M[3]*m2 - M[2]*M[3]*t - M[2]*m2^2 + M[2]*m2*t - M[3]^2*m2 + 2*M[3]*m2*t - m2*t^2 χ[13] = 41 weights[13] = [] computed_with[13] = ["HyperInt"] ################################ # Component 14 ################################ D[14] = M[2]^2 - 2*M[2]*M[3] - 2*M[2]*t + M[3]^2 - 2*M[3]*t + t^2 χ[14] = 40 weights[14] = [[0, -1, -1, -1, -1], [1, 0, 0, 0, 0]] computed_with[14] = ["PLD_num", "HyperInt"] ################################ # Component 15 ################################ D[15] = M[2]^2*m2 - 5//4*M[2]*M[3]*m2 + 1//4*M[2]*M[3]*t + 9//4*M[2]*m2^2 - 5//4*M[2]*m2*t + 1//4*M[3]^2*m2 - 1//2*M[3]*m2*t + 1//4*m2*t^2 χ[15] = 42 weights[15] = [[0, -1, -1, -1, -1]] computed_with[15] = ["PLD_num", "HyperInt"] ################################ # Component 16 ################################ D[16] = M[3] χ[16] = 40 weights[16] = [[0, 0, -1, -1, -1], [1, 1, 0, 0, 0]] computed_with[16] = ["PLD_sym", "PLD_num"] ################################ # Component 17 ################################ D[17] = M[3] - 9*m2 χ[17] = 42 weights[17] = [[0, 0, -1, -1, -1]] computed_with[17] = ["PLD_sym", "HyperInt"] ################################ # Component 18 ################################ D[18] = M[3] - m2 χ[18] = 40 weights[18] = [[0, 0, -1, -1, -1], [0, 0, -1, -1, -1], [0, 0, -1, -1, -1]] computed_with[18] = ["PLD_sym", "HyperInt"] ################################ # Component 19 ################################ D[19] = M[3]^2 - 2*M[3]*M[4] - 2*M[3]*s + M[4]^2 - 2*M[4]*s + s^2 χ[19] = 40 weights[19] = [[-1, 0, -1, -1, -1], [0, 1, 0, 0, 0]] computed_with[19] = ["PLD_num", "HyperInt"] ################################ # Component 20 ################################ D[20] = M[3]^2*m2 - 2*M[3]*M[4]*m2 + M[3]*M[4]*s - 5*M[3]*m2*s + M[4]^2*m2 - 5*M[4]*m2*s + 9*m2^2*s + 4*m2*s^2 χ[20] = 42 weights[20] = [[-1, 0, -1, -1, -1]] computed_with[20] = ["PLD_num", "HyperInt"] ################################ # Component 21 ################################ D[21] = M[3]^2*m2 - 2*M[3]*M[4]*m2 + M[3]*M[4]*s - M[3]*m2*s + M[4]^2*m2 - M[4]*m2*s + m2^2*s χ[21] = 41 weights[21] = [] computed_with[21] = ["HyperInt"] ################################ # Component 22 ################################ D[22] = M[4] χ[22] = 40 weights[22] = [[-1, 0, 0, -1, -1], [0, 1, 1, 0, 0]] computed_with[22] = ["PLD_sym"] ################################ # Component 23 ################################ D[23] = M[4] - 9*m2 χ[23] = 42 weights[23] = [[-1, 0, 0, -1, -1]] computed_with[23] = ["PLD_sym", "HyperInt"] ################################ # Component 24 ################################ D[24] = M[4] - m2 χ[24] = 40 weights[24] = [[-1, 0, 0, -1, -1], [-1, 0, 0, -1, -1], [-1, 0, 0, -1, -1]] computed_with[24] = ["PLD_sym", "HyperInt"] ################################ # Component 25 ################################ D[25] = m2 χ[25] = 11 weights[25] = [[-1, 0, 0, 0, 1], [-1, 0, 0, 1, 0], [0, 1, 1, -1, 1], [0, 1, 1, 1, -1], [0, -1, 0, 0, 1], [0, -1, 0, 1, 0], [1, 0, 1, -1, 1], [1, 0, 1, 1, -1], [0, 0, -1, 0, 1], [0, 0, -1, 1, 0], [1, 1, 0, -1, 1], [1, 1, 0, 1, -1], [1, 1, 1, -1, 0], [1, 1, 1, 0, -1], [-1, 0, 0, 0, 0], [-1, 0, 0, -1, 0], [-1, 0, 0, 0, -1], [0, 0, 1, -1, 1], [0, 1, 0, -1, 1], [0, 1, 1, -1, 0], [0, 0, 1, 1, -1], [0, 1, 0, 1, -1], [0, 1, 1, 0, -1], [0, -1, 0, 0, 0], [0, -1, 0, -1, 0], [0, -1, 0, 0, -1], [1, 0, 0, -1, 1], [1, 0, 1, -1, 0], [1, 0, 0, 1, -1], [1, 0, 1, 0, -1], [0, 0, -1, 0, 0], [0, 0, -1, -1, 0], [0, 0, -1, 0, -1], [1, 1, 0, -1, 0], [1, 1, 0, 0, -1], [0, 0, 0, -1, -1], [0, 0, 0, -1, 1], [0, 0, 1, -1, 0], [0, 1, 0, -1, 0], [0, 0, 0, 1, -1], [0, 0, 1, 0, -1], [0, 1, 0, 0, -1], [1, 0, 0, -1, 0], [1, 0, 0, 0, -1], [0, 0, 0, -1, 0], [0, 0, 0, 0, -1]] computed_with[25] = ["PLD_sym", "PLD_num"] ################################ # Component 26 ################################ D[26] = m2 - 1//4*s χ[26] = 40 weights[26] = [[-1, 0, -1, 0, 1], [-1, 0, -1, 1, 0], [-1, 0, -1, 0, 0]] computed_with[26] = ["PLD_sym", "HyperInt"] ################################ # Component 27 ################################ D[27] = m2 - 1//9*t χ[27] = 42 weights[27] = [[0, -1, 0, -1, -1]] computed_with[27] = ["PLD_sym", "HyperInt"] ################################ # Component 28 ################################ D[28] = m2 - t χ[28] = 40 weights[28] = [[0, -1, 0, -1, -1], [0, -1, 0, -1, -1], [0, -1, 0, -1, -1]] computed_with[28] = ["PLD_sym", "HyperInt"] ################################ # Component 29 ################################ D[29] = s χ[29] = 37 weights[29] = [[-1, 0, -1, 0, 1], [-1, 0, -1, 1, 0], [-1, 0, -1, 0, 0], [0, 1, 0, 0, 1], [0, 1, 0, 1, 0]] computed_with[29] = ["PLD_sym", "PLD_num"] ################################ # Component 30 ################################ D[30] = t χ[30] = 40 weights[30] = [[0, -1, 0, -1, -1], [1, 0, 1, 0, 0]] computed_with[30] = ["PLD_sym", "PLD_num"]