# This file is in Maple format # Numerical approximation : sol:={u[1,2] = -1.324717957, u[1,3] = .4301597090, u[1,4] = 1.754877666, u[2,1] = -1.324717957, u[2,3] = 1.754877666, u[2,4] = .4301597090, u[3,1] = .4301597090, u[3,2] = 1.754877666, u[3,4] = -1.324717957, u[4,1] = 1.754877666, u[4,2] = .4301597090, u[4,3] = -1.324717957, v[1,2] = -1.324717957, v[1,3] = .4301597090, v[1,4] = 1.754877666, v[2,1] = -1.324717957, v[2,3] = 1.754877666, v[2,4] = .4301597090, v[3,1] = .4301597090, v[3,2] = 1.754877666, v[3,4] = -1.324717957, v[4,1] = 1.754877666, v[4,2] = .4301597090, v[4,3] = -1.324717957, w[1,2] = -1.324717957, w[1,3] = .4301597090, w[1,4] = 1.754877666, w[2,1] = -1.324717957, w[2,3] = 1.754877666, w[2,4] = .4301597090, w[3,1] = .4301597090, w[3,2] = 1.754877666, w[3,4] = -1.324717957, w[4,1] = 1.754877666, w[4,2] = .4301597090, w[4,3] = -1.324717957}: # 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)=-.3247179575,(3, 1)=0.,(3, 2)=0.,(2, 2)=-1.000000001,(3, 3)=-1.000000000,(1, 1)=-.9999999998,(1, 2)=1.139680582,(2, 1)=0.,(2, 3)=.5698402911]), array(1 .. 3, 1 .. 3,[(1, 3)=.1396805822,(3, 1)=.1396805806,(3, 2)=.6494359122,(2, 2)=.7095208727,(3, 3)=.7548776664,(1, 1)=.4301597091,(1, 2)=.4902446677,(2, 1)=.2451223336,(2, 3)=.3247179571]), array(1 .. 3, 1 .. 3,[(1, 3)=0.,(3, 1)=.3247179596,(3, 2)=-1.139680586,(2, 2)=.9999999977,(3, 3)=.9999999989,(1, 1)=1.000000000,(1, 2)=-.5698402914e-9,(2, 1)=-.5698402912,(2, 3)=0.]), array(1 .. 3, 1 .. 3,[(1, 3)=-1.000000000,(3, 1)=-.9999999992,(3, 2)=.9000000005e-9,(2, 2)=.9999999985,(3, 3)=0.,(1, 1)=-2.045356791,(1, 2)=-2.860319417,(2, 1)=1.430159708,(2, 3)=0.])]: # Boundary Holonomy : lMb:=[array(1 .. 3, 1 .. 3,[(1, 3)=.3247179573,(3, 1)=0.,(3, 2)=0.,(2, 2)=1.,(3, 3)=1.000000000,(1, 1)=1.000000000,(1, 2)=1.139680582,(2, 1)=0.,(2, 3)=.5698402909]), array(1 .. 3, 1 .. 3,[(1, 3)=16.00000001,(3, 1)=0.,(3, 2)=0.,(2, 2)=1.,(3, 3)=1.000000000,(1, 1)=.9999999999,(1, 2)=7.999999984,(2, 1)=0.,(2, 3)=4.000000000])]: # 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.]):