# This file is in Maple format # Numerical approximation : sol:={u[1,2] = 1.453397652, u[1,3] = -2.205569430, u[1,4] = .3119570553, u[2,1] = 1.453397652, u[2,3] = .3119570553, u[2,4] = -2.205569430, u[3,1] = -2.205569430, u[3,2] = .3119570553, u[3,4] = 1.453397652, u[4,1] = .3119570553, u[4,2] = -2.205569430, u[4,3] = 1.453397652, v[1,2] = 1.829483541, v[1,3] = -1.205569430, v[1,4] = .4533976515, v[2,1] = 1.829483541, v[2,3] = .4533976515, v[2,4] = -1.205569430, v[3,1] = -1.205569430, v[3,2] = .4533976515, v[3,4] = 1.829483541, v[4,1] = .4533976515, v[4,2] = -1.205569430, v[4,3] = 1.829483541, w[1,2] = 1.829483541, w[1,3] = -1.205569430, w[1,4] = .4533976515, w[2,1] = 1.829483541, w[2,3] = .4533976515, w[2,4] = -1.205569430, w[3,1] = -1.205569430, w[3,2] = .4533976515, w[3,4] = 1.829483541, w[4,1] = .4533976515, w[4,2] = -1.205569430, w[4,3] = 1.829483541}: # Matrix Generators : lM:=[array(1 .. 3, 1 .. 3,[(1, 3)=-4.864536514,(3, 1)=-10.27567537,(3, 2)=-11.23341657,(2, 2)=12.68681423,(3, 3)=-3.070105942,(1, 1)=-10.27567537,(1, 2)=-14.14021188,(2, 1)=10.27567537,(2, 3)=3.864536512]), 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)=-.6880429443,(3, 1)=-1.453397652,(3, 2)=-1.588861140,(2, 2)=1.794430570,(3, 3)=-.4342376148,(1, 1)=-1.453397652,(1, 2)=-2.000000000,(2, 1)=1.453397652,(2, 3)=.5466023482]), array(1 .. 3, 1 .. 3,[(1, 3)=-3.347010025,(3, 1)=-7.070105945,(3, 2)=-5.317934163,(2, 2)=8.729073024,(3, 3)=-.9999999993,(1, 1)=-14.93464246,(1, 2)=-14.14021188,(2, 1)=10.27567538,(2, 3)=1.829483540]), array(1 .. 3, 1 .. 3,[(1, 3)=-.6880429445,(3, 1)=-1.453397652,(3, 2)=0.,(2, 2)=1.,(3, 3)=0.,(1, 1)=-4.864536514,(1, 2)=-3.658967083,(2, 1)=2.658967083,(2, 3)=0.])]: # Boundary Holonomy : lMb:=[array(1 .. 3, 1 .. 3,[(1, 3)=9.211546530,(3, 1)=.8222778030,(3, 2)=1.195096502,(2, 2)=-4.504343523,(3, 3)=.4342376068,(1, 1)=7.070105952,(1, 2)=16.14021198,(2, 1)=-2.411138837,(2, 3)=-1.999999991]), array(1 .. 3, 1 .. 3,[(1, 3)=1.893612375,(3, 1)=.1690351632,(3, 2)=1.440771830,(2, 2)=-.1315248529,(3, 3)=3.070105943,(1, 1)=.6141882358e-1,(1, 2)=-.6820657682,(2, 1)=.1018917868,(2, 3)=-2.411138869])]: # 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.]):