# This file is in Maple format # Numerical approximation : sol:={u[1,2] = 2.205569430, u[1,3] = -.8294835410, u[1,4] = .5466023485, u[2,1] = 2.205569430, u[2,3] = .5466023485, u[2,4] = -.8294835410, u[3,1] = -.8294835410, u[3,2] = .5466023485, u[3,4] = 2.205569430, u[4,1] = .5466023485, u[4,2] = -.8294835410, u[4,3] = 2.205569430, v[1,2] = -.4533976515, v[1,3] = .6880429447, v[1,4] = 3.205569430, v[2,1] = -.4533976515, v[2,3] = 3.205569430, v[2,4] = .6880429447, v[3,1] = .6880429447, v[3,2] = 3.205569430, v[3,4] = -.4533976515, v[4,1] = 3.205569430, v[4,2] = .6880429447, v[4,3] = -.4533976515, w[1,2] = 2.205569430, w[1,3] = -.8294835410, w[1,4] = .5466023485, w[2,1] = 2.205569430, w[2,3] = .5466023485, w[2,4] = -.8294835410, w[3,1] = -.8294835410, w[3,2] = .5466023485, w[3,4] = 2.205569430, w[4,1] = .5466023485, w[4,2] = -.8294835410, w[4,3] = 2.205569430}: # 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)=.6880429444,(3, 1)=1.453397651,(3, 2)=3.999999998,(2, 2)=-.9999999997,(3, 3)=2.752171779,(1, 1)=0.,(1, 2)=0.,(2, 1)=0.,(2, 3)=-1.376085889]), 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)=-1.453397651,(3, 2)=-5.317934162,(2, 2)=1.,(3, 3)=-4.864536511,(1, 1)=0.,(1, 2)=.9147417703e-9,(2, 1)=0.,(2, 3)=1.829483541]), array(1 .. 3, 1 .. 3,[(1, 3)=-2.112364733,(3, 1)=-2.112364733,(3, 2)=-5.542663627,(2, 2)=4.019160035,(3, 3)=-3.635868324,(1, 1)=-.9999999996,(1, 2)=-2.906795303,(2, 1)=1.453397651,(2, 3)=2.771331814]), array(1 .. 3, 1 .. 3,[(1, 3)=2.302886636,(3, 1)=4.864536514,(3, 2)=14.14021189,(2, 2)=-6.005977110,(3, 3)=10.27567538,(1, 1)=.6880429447,(1, 2)=2.517526486,(2, 1)=-1.829483541,(2, 3)=-4.864536516])]: # Boundary Holonomy : lMb:=[array(1 .. 3, 1 .. 3,[(1, 3)=10.27567537,(3, 1)=10.27567537,(3, 2)=14.14021188,(2, 2)=-19.55135075,(3, 3)=4.864536507,(1, 1)=17.68681423,(1, 2)=26.96248960,(2, 1)=-13.48124479,(2, 3)=-7.070105938]), array(1 .. 3, 1 .. 3,[(1, 3)=31.54741198,(3, 1)=31.54741201,(3, 2)=51.86140740,(2, 2)=-62.09482399,(3, 3)=21.31399543,(1, 1)=43.78082858,(1, 2)=74.32824052,(2, 1)=-37.16412029,(2, 3)=-25.93070372])]: # 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.]):