# This file is in Maple format # Numerical approximation : sol:={u[1,2] = -1.178724176, u[1,3] = .4589842124, u[1,4] = 1.848374896, u[2,1] = -1.178724176, u[2,3] = 1.848374896, u[2,4] = .4589842124, u[3,1] = .4589842124, u[3,2] = 1.848374896, u[3,4] = -1.178724176, u[4,1] = 1.848374896, u[4,2] = .4589842124, u[4,3] = -1.178724176, v[1,2] = -1.178724176, v[1,3] = .4589842124, v[1,4] = 1.848374896, v[2,1] = -1.178724176, v[2,3] = 1.848374896, v[2,4] = .4589842124, v[3,1] = .4589842124, v[3,2] = 1.848374896, v[3,4] = -1.178724176, v[4,1] = 1.848374896, v[4,2] = .4589842124, v[4,3] = -1.178724176, w[1,2] = .1516251043, w[1,3] = 1.178724176, w[1,4] = -5.595213931, w[2,1] = .1516251043, w[2,3] = -5.595213931, w[2,4] = 1.178724176, w[3,1] = 1.178724176, w[3,2] = -5.595213931, w[3,4] = .1516251043, w[4,1] = -5.595213931, w[4,2] = 1.178724176, w[4,3] = .1516251043}: # 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)=-1.178724176,(3, 1)=-11.91016782,(3, 2)=-7.493678076,(2, 2)=6.314953894,(3, 3)=-1.178724176,(1, 1)=-5.595213930,(1, 2)=-5.136229718,(2, 1)=8.163328789,(2, 3)=1.178724176]), array(1 .. 3, 1 .. 3,[(1, 3)=-.2106665072,(3, 1)=-4.746839035,(3, 2)=0.,(2, 2)=1.000000000,(3, 3)=0.,(1, 1)=-4.746839035,(1, 2)=-2.000000000,(2, 1)=4.746839035,(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)=-.2926980823,(3, 1)=-3.416489756,(3, 2)=-3.696749792,(2, 2)=1.848374896,(3, 3)=-1.000000000,(1, 1)=-.7197399639,(1, 2)=-.9179684277,(2, 1)=1.568114860,(2, 3)=.5410157875]), array(1 .. 3, 1 .. 3,[(1, 3)=-.2106665072,(3, 1)=-4.746839035,(3, 2)=-4.357448352,(2, 2)=1.848374896,(3, 3)=-1.,(1, 1)=-.7197399638,(1, 2)=-.7787813669,(2, 1)=1.848374896,(2, 3)=.4589842124])]: # Boundary Holonomy : lMb:=[array(1 .. 3, 1 .. 3,[(1, 3)=2.458984211,(3, 1)=2.458984210,(3, 2)=8.054198135,(2, 2)=-3.917968423,(3, 3)=6.595213934,(1, 1)=.3227544956,(1, 2)=1.781738705,(2, 1)=-.8908693508,(2, 3)=-4.027099070]), array(1 .. 3, 1 .. 3,[(1, 3)=.5180256202,(3, 1)=.5180256029,(3, 2)=2.475531115,(2, 2)=-.3605118904e-1,(3, 3)=2.957505529,(1, 1)=.7854567734e-1,(1, 2)=-.4034287267,(2, 1)=.2017143599,(2, 3)=-1.237765560])]: # 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.]):