################################ # Diagram information ################################ name = "tdetri" edges = [[1, 4], [1, 4], [1, 3], [1, 3], [3, 4]] nodes = [1, 1, 3, 4] internal_masses = [m2, m2, m2, m2, m2] external_masses = [M[1], M[2], M[3], M[4]] U = x[1]*x[2]*x[3] + x[1]*x[2]*x[4] + x[1]*x[3]*x[4] + x[1]*x[3]*x[5] + x[1]*x[4]*x[5] + x[2]*x[3]*x[4] + x[2]*x[3]*x[5] + x[2]*x[4]*x[5] F = -m2*x[1]^2*x[2]*x[3] - m2*x[1]^2*x[2]*x[4] - m2*x[1]^2*x[3]*x[4] - m2*x[1]^2*x[3]*x[5] - m2*x[1]^2*x[4]*x[5] - m2*x[1]*x[2]^2*x[3] - m2*x[1]*x[2]^2*x[4] - m2*x[1]*x[2]*x[3]^2 + (-4*m2 + s)*x[1]*x[2]*x[3]*x[4] + (M[4] - 3*m2)*x[1]*x[2]*x[3]*x[5] - m2*x[1]*x[2]*x[4]^2 + (M[4] - 3*m2)*x[1]*x[2]*x[4]*x[5] - m2*x[1]*x[3]^2*x[4] - m2*x[1]*x[3]^2*x[5] - m2*x[1]*x[3]*x[4]^2 + (M[3] - 3*m2)*x[1]*x[3]*x[4]*x[5] - m2*x[1]*x[3]*x[5]^2 - m2*x[1]*x[4]^2*x[5] - m2*x[1]*x[4]*x[5]^2 - m2*x[2]^2*x[3]*x[4] - m2*x[2]^2*x[3]*x[5] - m2*x[2]^2*x[4]*x[5] - m2*x[2]*x[3]^2*x[4] - m2*x[2]*x[3]^2*x[5] - m2*x[2]*x[3]*x[4]^2 + (M[3] - 3*m2)*x[2]*x[3]*x[4]*x[5] - m2*x[2]*x[3]*x[5]^2 - m2*x[2]*x[4]^2*x[5] - m2*x[2]*x[4]*x[5]^2 parameters = [M[3], M[4], m2, s] variables = [x[1], x[2], x[3], x[4], x[5]] χ_generic = 51 f_vector = [32, 102, 128, 73, 17] ################################ # Component 1 ################################ D[1] = M[3] χ[1] = 42 weights[1] = [[0, 1, -1, -1, -1], [1, 0, -1, -1, -1], [-1, 0, -1, -1, -1], [1, 2, 0, 0, 0], [0, 0, -1, -1, -1], [0, -1, -1, -1, -1], [2, 1, 0, 0, 0], [0, 1, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 0, 0]] computed_with[1] = ["PLD_sym", "PLD_num"] ################################ # Component 2 ################################ D[2] = M[3] - 9*m2 χ[2] = 48 weights[2] = [[0, 1, -1, -1, -1], [1, 0, -1, -1, -1], [0, 0, -1, -1, -1]] computed_with[2] = ["PLD_sym", "HyperInt"] ################################ # Component 3 ################################ D[3] = M[3] - m2 χ[3] = 42 weights[3] = [[0, 1, -1, -1, -1], [0, 1, -1, -1, -1], [0, 1, -1, -1, -1], [1, 0, -1, -1, -1], [1, 0, -1, -1, -1], [1, 0, -1, -1, -1], [0, 0, -1, -1, -1], [0, 0, -1, -1, -1], [0, 0, -1, -1, -1]] computed_with[3] = ["PLD_sym", "HyperInt"] ################################ # Component 4 ################################ D[4] = M[3]*M[4] - M[3]*m2 - M[4]*m2 + m2^2 + m2*s χ[4] = 47 weights[4] = [] computed_with[4] = ["HyperInt"] ################################ # Component 5 ################################ D[5] = M[3]*M[4]*m2 - 1//4*M[3]*M[4]*s - M[3]*m2^2 + 1//4*M[3]*m2*s - M[4]^2*m2 - 3*M[4]*m2^2 + 5//4*M[4]*m2*s + 3//4*m2^2*s - 1//4*m2*s^2 χ[5] = 49 weights[5] = [] computed_with[5] = ["HyperInt"] ################################ # Component 6 ################################ D[6] = M[3]^2 - 2*M[3]*M[4] - 2*M[3]*s + M[4]^2 - 2*M[4]*s + s^2 χ[6] = 42 weights[6] = [[-1, -1, -1, -1, -1], [0, 0, 0, 0, 0]] computed_with[6] = ["PLD_num", "HyperInt"] ################################ # Component 7 ################################ D[7] = M[3]^2*m2 - 2*M[3]*M[4]*m2 + 1//4*M[3]*M[4]*s - 5//4*M[3]*m2*s + M[4]^2*m2 - 5//4*M[4]*m2*s + 9//4*m2^2*s + 1//4*m2*s^2 χ[7] = 50 weights[7] = [[-1, -1, -1, -1, -1]] computed_with[7] = ["PLD_num", "HyperInt"] ################################ # Component 8 ################################ D[8] = M[3]^2*m2 - M[3]*M[4]*m2 + 1//4*M[3]*M[4]*s + 3*M[3]*m2^2 - 5//4*M[3]*m2*s + M[4]*m2^2 - 1//4*M[4]*m2*s - 3//4*m2^2*s + 1//4*m2*s^2 χ[8] = 48 weights[8] = [] computed_with[8] = ["HyperInt"] ################################ # Component 9 ################################ D[9] = M[4] χ[9] = 42 weights[9] = [[-1, -1, 0, 1, -1], [-1, -1, 1, 0, -1], [-1, -1, 0, 0, -1], [-1, -1, -1, 0, -1], [0, 0, 1, 2, 0], [-1, -1, 0, -1, -1], [0, 0, 2, 1, 0], [0, 0, 1, 1, 0], [0, 0, 0, 1, 0], [0, 0, 1, 0, 0]] computed_with[9] = ["PLD_sym", "PLD_num"] ################################ # Component 10 ################################ D[10] = M[4] - 9*m2 χ[10] = 48 weights[10] = [[-1, -1, 0, 1, -1], [-1, -1, 1, 0, -1], [-1, -1, 0, 0, -1]] computed_with[10] = ["PLD_sym", "HyperInt"] ################################ # Component 11 ################################ D[11] = M[4] - m2 χ[11] = 42 weights[11] = [[-1, -1, 0, 1, -1], [-1, -1, 1, 0, -1], [-1, -1, 0, 0, -1]] computed_with[11] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 12 ################################ D[12] = m2 χ[12] = 4 weights[12] = [[-1, 1, 1, 3, 2], [-1, 1, 3, 1, 2], [-1, 3, 1, 1, 3], [-1, 2, 1, 3, 1], [-1, 2, 3, 1, 1], [1, -1, 1, 3, 2], [1, -1, 3, 1, 2], [1, 1, -1, 3, 3], [1, 1, 3, -1, 3], [1, 3, -1, 1, 2], [1, 3, -1, 2, 1], [1, 3, 1, -1, 2], [0, 1, 0, 1, -1], [1, 3, 2, -1, 1], [0, 1, 1, 0, -1], [3, -1, 1, 1, 3], [2, -1, 1, 3, 1], [2, -1, 3, 1, 1], [3, 1, -1, 1, 2], [3, 1, -1, 2, 1], [3, 1, 1, -1, 2], [1, 0, 0, 1, -1], [3, 1, 2, -1, 1], [1, 0, 1, 0, -1], [-1, 0, 1, 1, 1], [-1, 1, 0, 1, 2], [-1, 1, 1, 3, 1], [-1, -1, 0, 1, 0], [-1, 0, -1, 1, 1], [-1, 1, 1, 0, 2], [-1, 1, 3, 1, 1], [-1, -1, 1, 0, 0], [-1, 0, 1, -1, 1], [-1, 2, 0, 1, 1], [-1, 2, 1, 0, 1], [-1, 1, -1, 0, 1], [-1, 1, 0, -1, 1], [-1, 1, 1, 1, 0], [-1, 1, -1, 1, 0], [-1, 0, 0, 1, -1], [-1, 1, 1, -1, 0], [-1, 0, 1, 0, -1], [0, -1, 1, 1, 1], [0, -1, -1, 1, 1], [1, -1, 0, 1, 2], [1, -1, 1, 3, 1], [0, -1, 1, -1, 1], [1, -1, 1, 0, 2], [1, -1, 3, 1, 1], [0, 1, -1, 1, 2], [0, 1, -1, 2, 1], [1, 0, -1, 1, 2], [1, 0, -1, 2, 1], [0, 1, 1, -1, 2], [0, 1, 2, -1, 1], [1, 0, 1, -1, 2], [1, 0, 2, -1, 1], [1, 3, -1, 1, 1], [0, 1, -1, -1, 0], [1, 1, -1, 0, 1], [0, 1, -1, 0, -1], [1, 1, -1, 1, 0], [1, 3, 1, -1, 1], [1, 1, 0, -1, 1], [0, 1, 0, 0, -1], [0, 0, 0, 1, -1], [0, 1, 0, -1, -1], [1, 1, 1, -1, 0], [0, 0, 1, 0, -1], [2, -1, 0, 1, 1], [2, -1, 1, 0, 1], [1, -1, -1, 0, 1], [1, -1, 0, -1, 1], [1, -1, 1, 1, 0], [1, -1, -1, 1, 0], [0, -1, 0, 1, -1], [1, -1, 1, -1, 0], [0, -1, 1, 0, -1], [3, 1, -1, 1, 1], [1, 0, -1, -1, 0], [1, 0, -1, 0, -1], [3, 1, 1, -1, 1], [1, 0, 0, 0, -1], [1, 0, 0, -1, -1], [-1, 0, 0, 0, 1], [-1, 0, 1, 1, 0], [-1, -1, 0, 0, 0], [-1, 1, 0, 1, 1], [-1, 0, -1, 0, 1], [-1, 0, -1, 1, 0], [-1, -1, -1, 0, 0], [-1, 1, 1, 0, 1], [-1, 0, 0, -1, 1], [-1, 0, 1, -1, 0], [-1, -1, 0, -1, 0], [-1, 1, 0, 0, 0], [-1, 1, -1, 0, 0], [-1, 1, 0, -1, 0], [-1, 0, -1, -1, 0], [-1, 0, 0, 0, -1], [-1, 0, -1, 0, -1], [-1, 0, 0, -1, -1], [0, -1, 0, 0, 1], [0, -1, 1, 1, 0], [0, -1, -1, 0, 1], [0, -1, -1, 1, 0], [1, -1, 0, 1, 1], [0, -1, 0, -1, 1], [0, -1, 1, -1, 0], [1, -1, 1, 0, 1], [0, 1, -1, 1, 1], [0, 0, -1, 0, 1], [0, 0, -1, 1, 0], [1, 0, -1, 1, 1], [0, 1, 1, -1, 1], [0, 0, 0, -1, 1], [0, 0, 1, -1, 0], [1, 0, 1, -1, 1], [1, 1, -1, 0, 0], [0, 0, -1, -1, 0], [0, 0, -1, 0, -1], [1, 1, 0, -1, 0], [0, 0, 0, 0, -1], [0, 0, 0, -1, -1], [1, -1, 0, 0, 0], [1, -1, -1, 0, 0], [1, -1, 0, -1, 0], [0, -1, -1, -1, 0], [0, -1, 0, 0, -1], [0, -1, -1, 0, -1], [0, -1, 0, -1, -1], [-1, 0, 0, 0, 0], [-1, 0, -1, 0, 0], [-1, 0, 0, -1, 0], [0, -1, 0, 0, 0], [0, -1, -1, 0, 0], [0, -1, 0, -1, 0], [0, 0, -1, 0, 0], [0, 0, 0, -1, 0]] computed_with[12] = ["PLD_sym", "PLD_num"] ################################ # Component 13 ################################ D[13] = m2 - 1//16*s χ[13] = 50 weights[13] = [[-1, -1, -1, -1, 0]] computed_with[13] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 14 ################################ D[14] = m2 - 1//4*s χ[14] = 47 weights[14] = [[-1, -1, -1, -1, 0]] computed_with[14] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 15 ################################ D[15] = s χ[15] = 37 weights[15] = [[-1, -1, -1, -1, 0], [0, 0, 0, 0, 1]] computed_with[15] = ["PLD_sym", "PLD_num"]