# This file is in Maple format # Numerical approximation : sol:={u[1,2] = .6738415962, u[1,3] = 3.065994892, u[1,4] = -.4840283022, u[2,1] = .6738415962, u[2,3] = -.4840283022, u[2,4] = 3.065994892, u[3,1] = 3.065994892, u[3,2] = -.4840283022, u[3,4] = .6738415962, u[4,1] = -.4840283022, u[4,2] = 3.065994892, u[4,3] = .6738415962, v[1,2] = 3.065994892, v[1,3] = -.4840283022, v[1,4] = .6738415962, v[2,1] = 3.065994892, v[2,3] = .6738415962, v[2,4] = -.4840283022, v[3,1] = -.4840283022, v[3,2] = .6738415962, v[3,4] = 3.065994892, v[4,1] = .6738415962, v[4,2] = -.4840283022, v[4,3] = 3.065994892, w[1,2] = .5159716978, w[1,3] = 2.065994892, w[1,4] = -.9380907990, w[2,1] = .5159716978, w[2,3] = -.9380907990, w[2,4] = 2.065994892, w[3,1] = 2.065994892, w[3,2] = -.9380907990, w[3,4] = .5159716978, w[4,1] = -.9380907990, w[4,2] = 2.065994892, w[4,3] = .5159716978}: # 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)=-1.000000000,(3, 1)=-1.000000000,(3, 2)=0.,(2, 2)=1.000000000,(3, 3)=0.,(1, 1)=-1.136345110,(1, 2)=2.131989784,(2, 1)=-1.065994892,(2, 3)=0.]), array(1 .. 3, 1 .. 3,[(1, 3)=.9999999999,(3, 1)=1.000000000,(3, 2)=-.9680566043,(2, 2)=-.9999999998,(3, 3)=.2342833973,(1, 1)=0.,(1, 2)=.2065994892e-9,(2, 1)=0.,(2, 3)=.4840283022]), array(1 .. 3, 1 .. 3,[(1, 3)=.2342833973,(3, 1)=.2342833973,(3, 2)=.4685667943,(2, 2)=.5314332053,(3, 3)=.2342833973,(1, 1)=2.502618291,(1, 2)=-1.531433204,(2, 1)=.7657166022,(2, 3)=-.2342833973]), array(1 .. 3, 1 .. 3,[(1, 3)=-.4540624968,(3, 1)=-1.136345109,(3, 2)=1.727309786,(2, 2)=.9825609022,(3, 3)=-.6564024987,(1, 1)=-.1063793044,(1, 2)=.4395581989,(2, 1)=-.3476831926,(2, 3)=-.5459375032])]: # Boundary Holonomy : lMb:=[array(1 .. 3, 1 .. 3,[(1, 3)=.7934829801e-1,(3, 1)=.7934829991e-1,(3, 2)=-.4046800026,(2, 2)=.8413034062,(3, 3)=.5159716975,(1, 1)=1.642724899,(1, 2)=.7220731939,(2, 1)=-.3610365979,(2, 3)=.2023400017]), array(1 .. 3, 1 .. 3,[(1, 3)=.1858998912e-1,(3, 1)=.1858998858e-1,(3, 2)=.3098701969,(2, 2)=.9628200210,(3, 3)=1.291280208,(1, 1)=.7458997696,(1, 2)=-.2355102410,(2, 1)=.1177551207,(2, 3)=-.1549350992])]: # 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.]):