(* The matrix given by eq. (4.15) and present in eq. (4.14) *) {{3*Log[s] - 3*Log[t], 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {Log[pp4]/2 - Log[t]/2, -2*Log[pp4] + 3*Log[s] - Log[pp4 - t], 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 3*Log[s] - 3*Log[pp4 - s - t], 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, (Log[pp4] - Log[pp4 - s - t])/2, -2*Log[pp4] + 3*Log[s] - Log[s + t], 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, Log[pp4]/2 - Log[s]/2, -2*Log[pp4] - Log[pp4 - s] + 3*Log[s], 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {(-5*Log[s])/48 + (Log[pp4] - Log[pp4 - s - t])/4 + (5*Log[t])/48, -Log[pp4] - (11*Log[s])/12 + Log[pp4 - s - t] + (11*Log[t])/12, (-5*Log[s])/48 + (-Log[pp4] + Log[pp4 - s - t])/4 + (5*Log[t])/48, Log[pp4] - (11*Log[s])/12 - Log[pp4 - s - t] + (11*Log[t])/12, (-5*Log[s])/48 + (-Log[pp4] + Log[pp4 - s - t])/4 + (5*Log[t])/48, Log[pp4] + Log[s]/12 - Log[pp4 - s - t] - Log[t]/12, 2*Log[s] - 2*Log[pp4 - s - t] + Log[t] - Log[s + t], -Log[pp4] + (3*Log[s])/4 + Log[pp4 - s - t] - (3*Log[t])/4, Log[pp4] + Log[s]/12 - Log[pp4 - s - t] + (23*Log[t])/12 - 2*Log[s + t], Log[pp4] - (13*Log[s])/4 - Log[pp4 - s - t] + (13*Log[t])/4, -Log[pp4] + Log[s]/12 + Log[pp4 - s - t] - Log[t]/12, Log[pp4] - (5*Log[s])/4 - Log[pp4 - s - t] + (5*Log[t])/4, Log[pp4] - (11*Log[s])/12 - Log[pp4 - s - t] + (11*Log[t])/12, Log[s]/12 - Log[t]/12, Log[s]/12 - Log[t]/12, Log[s]/3 - Log[t]/3}, {(Log[pp4 - s] - Log[pp4 - s - t])/6, (-Log[pp4 - s] + Log[pp4 - s - t])/3, (-Log[pp4 - s] + Log[pp4 - s - t])/12, (2*(Log[pp4 - s] - Log[pp4 - s - t]))/3, (-Log[pp4 - s] + Log[pp4 - s - t])/ 12, (2*(Log[pp4 - s] - Log[pp4 - s - t]))/3, Log[pp4 - s] + Log[s] - Log[pp4 - s - t] - Log[s + t], -2*Log[pp4 - s] + Log[s] + Log[t], (2*(Log[pp4 - s] - Log[pp4 - s - t]))/3, Log[pp4 - s] - Log[pp4 - s - t], (-Log[pp4 - s] + Log[pp4 - s - t])/3, Log[pp4 - s] - Log[pp4 - s - t], (2*(Log[pp4 - s] - Log[pp4 - s - t]))/3, (Log[pp4 - s] - Log[pp4 - s - t])/6, (-Log[pp4 - s] + Log[pp4 - s - t])/12, (-Log[pp4 - s] + Log[pp4 - s - t])/12}, {0, Log[s] - Log[t], 0, Log[s] - Log[t], 0, -Log[s] + Log[t], 2*Log[s] - 2*Log[t], -4*Log[s] + 4*Log[t], -2*Log[pp4] + 2*Log[s] - 3*Log[t] + 3*Log[s + t], 4*Log[s] - 4*Log[t], -Log[s] + Log[t], 2*(-Log[pp4] + Log[pp4 - s - t]), Log[s] - Log[t], Log[s]/4 - Log[t]/4, 0, -Log[s]/4 + Log[t]/4}, {(-Log[pp4 - t] + Log[pp4 - s - t])/12, (2*(Log[pp4 - t] - Log[pp4 - s - t]))/3, (-Log[pp4 - t] + Log[pp4 - s - t])/ 12, (-Log[pp4 - t] + Log[pp4 - s - t])/3 - Log[t] + Log[s + t], (Log[pp4 - t] - Log[pp4 - s - t])/6, (-Log[pp4 - t] + Log[pp4 - s - t])/3, -Log[pp4 - t] + Log[pp4 - s - t] - Log[t] + Log[s + t], Log[pp4 - t] - Log[pp4 - s - t], (-Log[pp4 - t] + Log[pp4 - s - t])/3 - Log[t] + Log[s + t], 4*Log[s] - 2*Log[pp4 - t] - 2*Log[t], (2*(Log[pp4 - t] - Log[pp4 - s - t]))/3, Log[pp4 - t] - Log[pp4 - s - t], (-Log[pp4 - t] + Log[pp4 - s - t])/3, (-Log[pp4 - t] + Log[pp4 - s - t])/ 12, (-Log[pp4 - t] + Log[pp4 - s - t])/12, (Log[pp4 - t] - Log[pp4 - s - t])/6}, {-Log[s]/6 + Log[pp4 - s - t]/6, Log[s]/3 - Log[pp4 - s - t]/3, -Log[s]/6 + Log[pp4 - s - t]/6, Log[s]/3 - Log[pp4 - s - t]/3, Log[s]/3 - Log[pp4 - s - t]/3, (-5*Log[s])/3 + (5*Log[pp4 - s - t])/3, -2*Log[s] + 2*Log[pp4 - s - t], 2*Log[s] - 2*(Log[pp4] + Log[pp4 - s - t]) + 2*Log[t], (-5*Log[s])/3 + (5*Log[pp4 - s - t])/3, 0, -2*Log[pp4] + (4*Log[s])/3 + 3*Log[pp4 - t] - (7*Log[pp4 - s - t])/3, -2*Log[s] + 2*Log[pp4 - s - t], Log[s]/3 - Log[pp4 - s - t]/3, -Log[s]/6 + Log[pp4 - s - t]/6, Log[s]/12 - Log[pp4 - s - t]/12, Log[s]/12 - Log[pp4 - s - t]/12}, {-Log[s]/12 + (-2*Log[pp4 - s] + Log[pp4 - t])/12 + Log[t]/6, -Log[s]/3 + (Log[pp4 - s] + Log[pp4 - t])/3 - Log[t]/3, -Log[s]/12 + (Log[pp4 - s] + Log[pp4 - t])/12 - Log[t]/12, -Log[s]/3 + (-2*Log[pp4 - s] + Log[pp4 - t])/3 + (2*Log[t])/3, Log[s]/6 + (Log[pp4 - s] - 2*Log[pp4 - t])/12 - Log[t]/12, -Log[s]/3 + (Log[pp4 - s] + Log[pp4 - t])/3 - Log[t]/3, -Log[pp4 - s] - Log[s] + Log[pp4 - t] + Log[t], 2*Log[pp4 - s] + Log[s] - Log[pp4 - t] - 2*Log[t], -Log[s]/3 + (-2*Log[pp4 - s] + Log[pp4 - t])/3 + (2*Log[t])/3, -Log[pp4 - s] - 2*Log[s] + 2*Log[pp4 - t] + Log[t], -Log[s]/3 + (Log[pp4 - s] + Log[pp4 - t])/3 - Log[t]/3, -Log[pp4 - s] + 2*Log[s] - Log[pp4 - t] + Log[pp4 - s - t] - Log[t], -Log[s]/3 - Log[t]/3 + (Log[-pp4 + s] + Log[-pp4 + t])/3, -Log[s]/12 + (-2*Log[pp4 - s] + Log[pp4 - t])/12 + Log[t]/6, -Log[s]/12 + (Log[pp4 - s] + Log[pp4 - t])/12 - Log[t]/12, Log[s]/6 + (Log[pp4 - s] - 2*Log[pp4 - t])/12 - Log[t]/12}, {-Log[pp4 - s - t]/3 + Log[t]/3, (5*Log[pp4 - s - t])/3 - (5*Log[t])/3, Log[pp4 - s - t]/6 - Log[t]/6, (-7*Log[pp4 - s - t])/3 + (7*Log[t])/3, Log[pp4 - s - t]/6 - Log[t]/6, -Log[pp4 - s - t]/3 + Log[t]/3, -2*Log[pp4 - s - t] + 2*Log[t], 0, -Log[pp4 - s - t]/3 + Log[t]/3, 2*Log[s] - 2*(Log[pp4] + Log[pp4 - s - t]) + 2*Log[t], -Log[pp4 - s - t]/3 + Log[t]/3, 2*Log[pp4 - s - t] - 2*Log[t], -2*Log[pp4] + 3*Log[pp4 - s] + 3*Log[s] - (7*Log[pp4 - s - t])/3 - (5*Log[t])/3, -Log[pp4 - s - t]/12 + Log[t]/12, -Log[pp4 - s - t]/12 + Log[t]/12, Log[pp4 - s - t]/6 - Log[t]/6}, {(-3*Log[pp4])/4 + (4*Log[pp4 - s])/3 - (7*Log[t])/12, 3*Log[pp4] - (8*Log[pp4 - s])/3 - Log[t]/3, (5*Log[pp4])/4 - (2*Log[pp4 - s])/3 - (7*Log[t])/12, -5*Log[pp4] + (16*Log[pp4 - s])/3 - (13*Log[t])/3 + 4*Log[s + t], (5*Log[pp4])/4 - (2*Log[pp4 - s])/3 - (7*Log[t])/12, -5*Log[pp4] + (28*Log[pp4 - s])/3 - (13*Log[t])/3, 8*Log[pp4 - s] - 8*Log[s + t], 7*Log[pp4] - 16*Log[pp4 - s] + 9*Log[t], -Log[pp4] + (16*Log[pp4 - s])/3 - Log[t]/3 - 4*Log[s + t], -Log[pp4] + 8*Log[pp4 - s] - 7*Log[t], 7*Log[pp4] - (8*Log[pp4 - s])/3 - (13*Log[t])/3, -Log[pp4] + 8*Log[pp4 - s] - 7*Log[t], -Log[pp4] + (4*Log[pp4 - s])/3 - Log[t]/3, (4*Log[pp4 - s])/3 - 3*Log[pp4 - s - t] + (5*Log[t])/3, (-2*Log[3*(pp4 - s)])/3 + (2*Log[t])/3, (-2*Log[3*(pp4 - s)])/3 + (2*Log[t])/3}, {(15*Log[pp4] - 16*Log[pp4 - s] + 8*Log[pp4 - t] - 7*Log[pp4 - s - t])/12, (-15*Log[pp4] + 8*Log[pp4 - s] + 20*Log[pp4 - t] - 13*Log[pp4 - s - t])/3, (-9*Log[pp4] + 8*Log[pp4 - s] + 8*Log[pp4 - t] - 7*Log[pp4 - s - t])/12, (9*Log[pp4] - 16*Log[pp4 - s] + 8*Log[pp4 - t] - Log[pp4 - s - t])/3, (15*Log[pp4] + 8*Log[pp4 - s] - 16*Log[pp4 - t] - 7*Log[pp4 - s - t])/12, (-15*Log[pp4] + 20*Log[pp4 - s] + 8*Log[pp4 - t] - 13*Log[pp4 - s - t])/3, -8*Log[pp4 - s] + 8*Log[pp4 - t], -Log[pp4] + 16*Log[pp4 - s] - 8*Log[pp4 - t] - 7*Log[pp4 - s - t], (21*Log[pp4] - 16*Log[pp4 - s] + 8*Log[pp4 - t] - 13*Log[pp4 - s - t])/3, -Log[pp4] - 8*Log[pp4 - s] + 16*Log[pp4 - t] - 7*Log[pp4 - s - t], (-3*Log[pp4] + 8*Log[pp4 - s] - 4*Log[pp4 - t] - Log[pp4 - s - t])/3, 7*Log[pp4] - 8*Log[pp4 - s] - 8*Log[pp4 - t] + 9*Log[pp4 - s - t], (-3*Log[pp4] - 4*Log[pp4 - s] + 8*Log[pp4 - t] - Log[pp4 - s - t])/3, (2*(-2*Log[pp4 - s] + Log[pp4 - t] + Log[pp4 - s - t]))/3, (2*Log[pp4 - s] + 2*Log[pp4 - t] + 5*Log[pp4 - s - t])/3 - 3*Log[t], (2*(Log[pp4 - s] - 2*Log[pp4 - t] + Log[pp4 - s - t]))/3}, {(5*Log[pp4])/4 - (7*Log[s])/12 - (2*Log[pp4 - t])/3, -5*Log[pp4] - (13*Log[s])/3 + (28*Log[pp4 - t])/3, (5*Log[pp4])/4 - (7*Log[s])/12 - (2*Log[pp4 - t])/3, -5*Log[pp4] - (13*Log[s])/3 - (8*Log[pp4 - t])/3 + 12*Log[s + t], (-3*Log[pp4])/4 - (7*Log[s])/12 + (4*Log[pp4 - t])/3, 3*Log[pp4] - Log[s]/3 - (8*Log[pp4 - t])/3, -8*Log[pp4 - t] + 8*Log[s + t], -Log[pp4] - 7*Log[s] + 8*Log[pp4 - t], -Log[pp4] - Log[s]/3 - (8*Log[pp4 - t])/3 + 4*Log[s + t], 7*Log[pp4] + 9*Log[s] - 16*Log[pp4 - t], -Log[pp4] - Log[s]/3 + (4*Log[pp4 - t])/3, -Log[pp4] - 7*Log[s] + 8*Log[pp4 - t], 7*Log[pp4] - (13*Log[s])/3 - (8*Log[pp4 - t])/3, (2*Log[s])/3 - (2*Log[3*(pp4 - t)])/3, (2*Log[s])/3 - (2*Log[3*(pp4 - t)])/3, (14*Log[s])/3 + (4*Log[pp4 - t])/3 - 3*Log[pp4 - s - t] - 3*Log[t]}}