Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 3246415111] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2198 geometric_solution 5.65230075 oriented_manifold CS_known 0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333997775725 0.236935695077 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674281040588 1.175977435950 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.540306452047 1.153117006291 5 2 6 1 3201 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.540306452047 1.153117006291 5 2 6 6 0132 0132 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507272977544 0.582492281273 4 6 2 3 0132 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505883768062 0.325650060368 4 4 5 3 2310 1302 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507272977544 0.582492281273 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3034699/137331*c_0101_6^11 + 5053831/274662*c_0101_6^10 - 28822931/274662*c_0101_6^9 + 926942/137331*c_0101_6^8 + 4964369/137331*c_0101_6^7 - 29803927/91554*c_0101_6^6 + 137883548/137331*c_0101_6^5 + 68025505/137331*c_0101_6^4 - 13817862/15259*c_0101_6^3 - 7433381/15259*c_0101_6^2 + 27764227/274662*c_0101_6 + 16263325/274662, c_0011_0 - 1, c_0011_1 + 162232/45777*c_0101_6^11 + 12940/45777*c_0101_6^10 + 847024/45777*c_0101_6^9 + 735454/45777*c_0101_6^8 + 754948/45777*c_0101_6^7 + 1136560/15259*c_0101_6^6 - 3871634/45777*c_0101_6^5 - 5727046/45777*c_0101_6^4 + 28475/15259*c_0101_6^3 + 473166/15259*c_0101_6^2 + 121915/45777*c_0101_6 - 121640/45777, c_0011_3 - 77072/45777*c_0101_6^11 + 49273/45777*c_0101_6^10 - 426089/45777*c_0101_6^9 - 54215/45777*c_0101_6^8 - 258065/45777*c_0101_6^7 - 482465/15259*c_0101_6^6 + 2883436/45777*c_0101_6^5 + 828062/45777*c_0101_6^4 - 395786/15259*c_0101_6^3 + 19744/15259*c_0101_6^2 + 248026/45777*c_0101_6 - 46448/45777, c_0101_0 + 66871/45777*c_0101_6^11 + 95995/45777*c_0101_6^10 + 312589/45777*c_0101_6^9 + 787786/45777*c_0101_6^8 + 493558/45777*c_0101_6^7 + 568222/15259*c_0101_6^6 + 170656/45777*c_0101_6^5 - 5392999/45777*c_0101_6^4 - 601631/15259*c_0101_6^3 + 593470/15259*c_0101_6^2 + 307606/45777*c_0101_6 - 230798/45777, c_0101_1 + 68528/45777*c_0101_6^11 - 7708/45777*c_0101_6^10 + 362936/45777*c_0101_6^9 + 242042/45777*c_0101_6^8 + 294164/45777*c_0101_6^7 + 467785/15259*c_0101_6^6 - 1870222/45777*c_0101_6^5 - 1976036/45777*c_0101_6^4 + 116525/15259*c_0101_6^3 + 143103/15259*c_0101_6^2 - 140827/45777*c_0101_6 - 27799/45777, c_0101_3 + c_0101_6, c_0101_6^12 - c_0101_6^11 + 5*c_0101_6^10 - c_0101_6^9 - c_0101_6^8 + 16*c_0101_6^7 - 47*c_0101_6^6 - 12*c_0101_6^5 + 44*c_0101_6^4 + 9*c_0101_6^3 - 11*c_0101_6^2 - c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB