# This file is in Maple format # Numerical approximation : sol:={u[1,2] = -.3802775691, u[1,3] = .7244919590, u[1,4] = 3.629658127, u[2,1] = -.3802775691, u[2,3] = 3.629658127, u[2,4] = .7244919590, u[3,1] = .7244919590, u[3,2] = 3.629658127, u[3,4] = -.3802775691, u[4,1] = 3.629658127, u[4,2] = .7244919590, u[4,3] = -.3802775691, v[1,2] = -.3802775691, v[1,3] = .7244919590, v[1,4] = 3.629658127, v[2,1] = -.3802775691, v[2,3] = 3.629658127, v[2,4] = .7244919590, v[3,1] = .7244919590, v[3,2] = 3.629658127, v[3,4] = -.3802775691, v[4,1] = 3.629658127, v[4,2] = .7244919590, v[4,3] = -.3802775691, w[1,2] = 3.629658127, w[1,3] = -.3802775691, w[1,4] = .7244919590, w[2,1] = 3.629658127, w[2,3] = .7244919590, w[2,4] = -.3802775691, w[3,1] = -.3802775691, w[3,2] = .7244919590, w[3,4] = 3.629658127, w[4,1] = .7244919590, w[4,2] = -.3802775691, w[4,3] = 3.629658127}: # 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)=-.3802775692,(3, 1)=-2.154546727,(3, 2)=-1.810332336,(2, 2)=1.430054766,(3, 3)=-.3802775692,(1, 1)=-.7244919593,(1, 2)=-1.049777198,(2, 1)=1.249380558,(2, 3)=.3802775692]), array(1 .. 3, 1 .. 3,[(1, 3)=-.5248885987,(3, 1)=-1.905166168,(3, 2)=0.,(2, 2)=1.000000000,(3, 3)=0.,(1, 1)=-1.905166168,(1, 2)=-2.000000000,(2, 1)=1.905166168,(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)=-2.973872517,(3, 1)=-13.17441812,(3, 2)=-7.259316252,(2, 2)=8.888974380,(3, 3)=-1.000000000,(1, 1)=-6.915101869,(1, 2)=-9.069648592,(2, 1)=9.544759992,(2, 3)=1.724491959]), array(1 .. 3, 1 .. 3,[(1, 3)=-.5248885984,(3, 1)=-1.905166168,(3, 2)=2.760555138,(2, 2)=-1.629658127,(3, 3)=-1.,(1, 1)=-6.915101865,(1, 2)=-3.810332333,(2, 1)=3.629658127,(2, 3)=-.7244919590])]: # Boundary Holonomy : lMb:=[array(1 .. 3, 1 .. 3,[(1, 3)=.2257308441,(3, 1)=.2257308443,(3, 2)=-.4987611150,(2, 2)=.5485383127,(3, 3)=.2755080413,(1, 1)=2.175953647,(1, 2)=1.401684490,(2, 1)=-.7008422453,(2, 3)=.2493805577]), array(1 .. 3, 1 .. 3,[(1, 3)=.1184835450,(3, 1)=.1184835385,(3, 2)=-.4514616825,(2, 2)=.7630329009,(3, 3)=.4300547728,(1, 1)=1.806912319,(1, 2)=.9253958829,(2, 1)=-.4626979289,(2, 3)=.2257308352])]: # 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.]):