# This file is in Maple format # Numerical approximation : sol:={u[1,2] = 1.366025404-1.366025404*I, u[1,3] = -.1830127019-.6830127019*I, u[1,4] = .6339745962-.3660254038*I, u[2,1] = .5000000000-.1339745962*I, u[2,3] = -.8660254038-.5000000000*I, u[2,4] = 1.866025404-.5000000000*I, u[3,1] = 2.366025404+1.366025404*I, u[3,2] = -.3660254038+.3660254038*I, u[3,4] = .6830127019+.1830127019*I, u[4,1] = .5000000000+.5000000000*I, u[4,2] = -.2432665359e-99+1.000000000*I, u[4,3] = 1.000000000+1.000000000*I, v[1,2] = .5000000000+.8660254038*I, v[1,3] = .5000000000+.8660254038*I, v[1,4] = .5000000000+.8660254038*I, v[2,1] = .5000000000-.1339745962*I, v[2,3] = -.8660254038-.5000000000*I, v[2,4] = 1.866025404-.5000000000*I, v[3,1] = 1.866025404+.5000000000*I, v[3,2] = -.8660254038+.5000000000*I, v[3,4] = .5000000000+.1339745962*I, v[4,1] = .5000000000-.8660254038*I, v[4,2] = .5000000000-.8660254038*I, v[4,3] = .5000000000-.8660254038*I, w[1,2] = 1.366025404+1.366025404*I, w[1,3] = -.1830127019+.6830127019*I, w[1,4] = .6339745962+.3660254038*I, w[2,1] = .5000000000+.1339745962*I, w[2,3] = -.8660254038+.5000000000*I, w[2,4] = 1.866025404+.5000000000*I, w[3,1] = 2.366025404-1.366025404*I, w[3,2] = -.3660254038-.3660254038*I, w[3,4] = .6830127019-.1830127019*I, w[4,1] = .5000000000-.5000000000*I, w[4,2] = .2432665359e-99-1.000000000*I, w[4,3] = 1.000000000-1.000000000*I}: # 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)=1.366025404-1.366025404*I,(3, 1)=0.,(3, 2)=0.,(2, 2)=.4999999999-.8660254037*I,(3, 3)=.5000000000-.8660254037*I,(1, 1)=.5000000000-.8660254038*I,(1, 2)=-.3660254038e-10-1.000000000*I,(2, 1)=0.,(2, 3)=0.-1.000000000*I]), array(1 .. 3, 1 .. 3,[(1, 3)=-.4970491571e-10-1.366025404*I,(3, 1)=-.4840252270e-11+.3660254037*I,(3, 2)=.3598711794e-9+.3660254034*I,(2, 2)=.7320508078e-10-.2732050807e-9*I,(3, 3)=.5000000000-.5000000000*I,(1, 1)=.5000000000+.5000000001*I,(1, 2)=-.6830127022-.1830127025*I,(2, 1)=.1830127020+.6830127021*I,(2, 3)=.1366816080e-9-1.366025404*I]), array(1 .. 3, 1 .. 3,[(1, 3)=0.,(3, 1)=.3660254052-.3660254039*I,(3, 2)=-.1602627944e-8+1.000000002*I,(2, 2)=-.4999999997-.8660254036*I,(3, 3)=-.5000000002-.8660254039*I,(1, 1)=-.4999999999-.8660254038*I,(1, 2)=-.2046877938e-9-.5484592908e-10*I,(2, 1)=-.5999999999e-9+1.000000000*I,(2, 3)=0.]), array(1 .. 3, 1 .. 3,[(1, 3)=-1.000000000+.1581352000e-12*I,(3, 1)=.5000000000-.8660254036*I,(3, 2)=.4343821929e-10+.2507906761e-10*I,(2, 2)=-.4999999999-.8660254038*I,(3, 3)=0.,(1, 1)=1.000000000-1.732050808*I,(1, 2)=1.366025404-.3660254028*I,(2, 1)=-1.000000000+1.000000000*I,(2, 3)=0.])]: # Boundary Holonomy : lMb:=[array(1 .. 3, 1 .. 3,[(1, 3)=-1.366025404-1.366025404*I,(3, 1)=0.,(3, 2)=0.,(2, 2)=1.,(3, 3)=1.000000000+0.*I,(1, 1)=1.000000000-.4999999999e-10*I,(1, 2)=-.8660254038+.5000000000*I,(2, 1)=0.,(2, 3)=-.866025404+.5000000000*I]), array(1 .. 3, 1 .. 3,[(1, 3)=-4.499999999-2.598076214*I,(3, 1)=0.,(3, 2)=0.,(2, 2)=1.,(3, 3)=1.000000000+.2160167004e-12*I,(1, 1)=.9999999999+.4999999999e-10*I,(1, 2)=-.6872204358e-9+.7579336338e-9*I,(2, 1)=0.,(2, 3)=-.2207531755e-9+.1957531755e-9*I])]: # 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)=-.5000000000+.8660254039*I,(1, 2)=0.,(2, 1)=0.,(2, 3)=0.]):