# This file is in Maple format # Numerical approximation : sol:={u[1,2] = .4301597090, u[1,3] = 1.754877666, u[1,4] = -1.324717957, u[2,1] = .4301597090, u[2,3] = -1.324717957, u[2,4] = 1.754877666, u[3,1] = 1.754877666, u[3,2] = -1.324717957, u[3,4] = .4301597090, u[4,1] = -1.324717957, u[4,2] = 1.754877666, u[4,3] = .4301597090, v[1,2] = 1.754877666, v[1,3] = -1.324717957, v[1,4] = .4301597090, v[2,1] = 1.754877666, v[2,3] = .4301597090, v[2,4] = -1.324717957, v[3,1] = -1.324717957, v[3,2] = .4301597090, v[3,4] = 1.754877666, v[4,1] = .4301597090, v[4,2] = -1.324717957, v[4,3] = 1.754877666, w[1,2] = 1.754877666, w[1,3] = -1.324717957, w[1,4] = .4301597090, w[2,1] = 1.754877666, w[2,3] = .4301597090, w[2,4] = -1.324717957, w[3,1] = -1.324717957, w[3,2] = .4301597090, w[3,4] = 1.754877666, w[4,1] = .4301597090, w[4,2] = -1.324717957, w[4,3] = 1.754877666}: # Matrix Generators : lM:=[array(1 .. 3, 1 .. 3,[(1, 3)=0.,(3, 1)=0.,(3, 2)=0.,(2, 2)=1.,(3, 3)=1.,(1, 1)=1.,(1, 2)=0.,(2, 1)=0.,(2, 3)=0.]), array(1 .. 3, 1 .. 3,[(1, 3)=0.,(3, 1)=0.,(3, 2)=0.,(2, 2)=1.,(3, 3)=1.,(1, 1)=1.,(1, 2)=0.,(2, 1)=0.,(2, 3)=0.]), array(1 .. 3, 1 .. 3,[(1, 3)=-1.,(3, 1)=-.9999999996,(3, 2)=-2.000000000,(2, 2)=-1.079595621,(3, 3)=-1.,(1, 1)=-4.324717948,(1, 2)=4.159191238,(2, 1)=-2.079595622,(2, 3)=1.]), array(1 .. 3, 1 .. 3,[(1, 3)=1.000000000,(3, 1)=.9999999992,(3, 2)=0.,(2, 2)=-.9999999995,(3, 3)=0.,(1, 1)=.5698402909,(1, 2)=-1.509755333,(2, 1)=.7548776661,(2, 3)=0.]), array(1 .. 3, 1 .. 3,[(1, 3)=.3247179568,(3, 1)=.3247179574,(3, 2)=.6494359140,(2, 2)=.3505640852,(3, 3)=.3247179568,(1, 1)=1.404313583,(1, 2)=-1.350564091,(2, 1)=.6752820421,(2, 3)=-.3247179568]), array(1 .. 3, 1 .. 3,[(1, 3)=-.1850373749,(3, 1)=-.2598505066,(3, 2)=-.1886475753,(2, 2)=.1138344532,(3, 3)=-.342388284e-1,(1, 1)=-.3247179574,(1, 2)=.4902446675,(2, 1)=-.2904791271,(2, 3)=.7959562354e-1])]: # Boundary Holonomy : lMb:=[array(1 .. 3, 1 .. 3,[(1, 3)=.1054417517,(3, 1)=0.,(3, 2)=0.,(2, 2)=1.,(3, 3)=.9999999998,(1, 1)=1.000000000,(1, 2)=-.6494359142,(2, 1)=0.,(2, 3)=-.3247179570]), array(1 .. 3, 1 .. 3,[(1, 3)=.3423883004e-1,(3, 1)=0.,(3, 2)=0.,(2, 2)=1.,(3, 3)=.9999999995,(1, 1)=1.000000000,(1, 2)=.3700747501,(2, 1)=0.,(2, 3)=.1850373750])]: # Basis Change fo PU(2,1) : A:=array(1 .. 3, 1 .. 3,[(1, 3)=0.,(3, 1)=0.,(3, 2)=0.,(2, 2)=-1.,(3, 3)=1.,(1, 1)=-2.000000000,(1, 2)=0.,(2, 1)=0.,(2, 3)=0.]):