################################ # Diagram information ################################ name = "A4" edges = [[1, 4], [1, 2], [2, 3], [3, 4]] nodes = [1, 2, 3, 4] internal_masses = [m[1], m[2], m[3], m[4]] external_masses = [0, 0, 0, 0] U = x[1] + x[2] + x[3] + x[4] F = -m[1]*x[1]^2 + (-m[1] - m[2])*x[1]*x[2] + (-m[1] - m[3] + s)*x[1]*x[3] + (-m[1] - m[4])*x[1]*x[4] - m[2]*x[2]^2 + (-m[2] - m[3])*x[2]*x[3] + (-m[2] - m[4] + t)*x[2]*x[4] - m[3]*x[3]^2 + (-m[3] - m[4])*x[3]*x[4] - m[4]*x[4]^2 parameters = [m[1], m[2], m[3], m[4], s, t] variables = [x[1], x[2], x[3], x[4]] χ_generic = 11 f_vector = [8, 16, 14, 6] ################################ # Component 1 ################################ D[1] = m[1] χ[1] = 10 weights[1] = [[-1, 0, 0, 0]] computed_with[1] = ["PLD_sym"] ################################ # Component 2 ################################ D[2] = m[1] - m[2] χ[2] = 10 weights[2] = [[-1, -1, 0, 0]] computed_with[2] = ["PLD_sym", "HyperInt"] ################################ # Component 3 ################################ D[3] = m[1] - m[4] χ[3] = 10 weights[3] = [[-1, 0, 0, -1]] computed_with[3] = ["PLD_sym", "HyperInt"] ################################ # Component 4 ################################ D[4] = m[1]*m[2] - m[1]*m[3] - m[2]^2 + m[2]*m[3] - m[2]*s χ[4] = 10 weights[4] = [[-1, -1, -1, 0]] computed_with[4] = ["PLD_num", "HyperInt"] ################################ # Component 5 ################################ D[5] = m[1]*m[3] - m[1]*m[4] - m[3]*m[4] + m[4]^2 + m[4]*s χ[5] = 10 weights[5] = [[-1, 0, -1, -1]] computed_with[5] = ["PLD_num", "HyperInt"] ################################ # Component 6 ################################ D[6] = m[1]^2 - 2*m[1]*m[3] - 2*m[1]*s + m[3]^2 - 2*m[3]*s + s^2 χ[6] = 10 weights[6] = [[-1, 0, -1, 0]] computed_with[6] = ["PLD_sym", "HyperInt"] ################################ # Component 7 ################################ D[7] = m[1]^2 - m[1]*m[2] - m[1]*m[4] + m[1]*t + m[2]*m[4] χ[7] = 10 weights[7] = [[-1, -1, 0, -1]] computed_with[7] = ["PLD_num", "HyperInt"] ################################ # Component 8 ################################ D[8] = m[1]^2*t^2 + 2*m[1]*m[2]*s*t - 4*m[1]*m[3]*s*t - 2*m[1]*m[3]*t^2 + 2*m[1]*m[4]*s*t - 2*m[1]*s*t^2 + m[2]^2*s^2 + 2*m[2]*m[3]*s*t - 2*m[2]*m[4]*s^2 - 4*m[2]*m[4]*s*t - 2*m[2]*s^2*t + m[3]^2*t^2 + 2*m[3]*m[4]*s*t - 2*m[3]*s*t^2 + m[4]^2*s^2 - 2*m[4]*s^2*t + s^2*t^2 χ[8] = 10 weights[8] = [[-1, -1, -1, -1]] computed_with[8] = ["PLD_num", "HyperInt"] ################################ # Component 9 ################################ D[9] = m[2] χ[9] = 10 weights[9] = [[0, -1, 0, 0]] computed_with[9] = ["PLD_sym"] ################################ # Component 10 ################################ D[10] = m[2] - m[3] χ[10] = 10 weights[10] = [[0, -1, -1, 0]] computed_with[10] = ["PLD_sym", "HyperInt"] ################################ # Component 11 ################################ D[11] = m[2]*m[3] - m[2]*m[4] - m[3]^2 + m[3]*m[4] - m[3]*t χ[11] = 10 weights[11] = [[0, -1, -1, -1]] computed_with[11] = ["PLD_num", "HyperInt"] ################################ # Component 12 ################################ D[12] = m[2]^2 - 2*m[2]*m[4] - 2*m[2]*t + m[4]^2 - 2*m[4]*t + t^2 χ[12] = 10 weights[12] = [[0, -1, 0, -1]] computed_with[12] = ["PLD_sym", "HyperInt"] ################################ # Component 13 ################################ D[13] = m[3] χ[13] = 10 weights[13] = [[0, 0, -1, 0]] computed_with[13] = ["PLD_sym"] ################################ # Component 14 ################################ D[14] = m[3] - m[4] χ[14] = 10 weights[14] = [[0, 0, -1, -1]] computed_with[14] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 15 ################################ D[15] = m[4] χ[15] = 10 weights[15] = [[0, 0, 0, -1]] computed_with[15] = ["PLD_sym", "PLD_num"] ################################ # Component 16 ################################ D[16] = s χ[16] = 7 weights[16] = [[0, 1, 0, 1], [-1, -1, -1, 0], [-1, 0, -1, -1], [0, 0, 0, 1], [0, 1, 0, 0]] computed_with[16] = ["PLD_sym", "PLD_num"] ################################ # Component 17 ################################ D[17] = s + t χ[17] = 10 weights[17] = [[0, 0, 0, 0]] computed_with[17] = ["PLD_num", "HyperInt"] ################################ # Component 18 ################################ D[18] = t χ[18] = 7 weights[18] = [[-1, -1, 0, -1], [1, 0, 1, 0], [0, -1, -1, -1], [0, 0, 1, 0], [1, 0, 0, 0]] computed_with[18] = ["PLD_num"]