Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 3482210976] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3114 geometric_solution 6.26930150 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 1 0132 1230 0132 2031 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142368462330 1.107501478723 0 0 0 3 0132 1302 3012 0132 0 0 0 1 0 0 1 -1 0 0 0 0 -1 0 0 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 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885815503367 0.888255002537 4 3 5 0 0132 2310 0132 0132 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 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 0 0 0 0 0 0 0.522700839001 0.624206830550 4 5 1 2 1230 3012 0132 3201 0 0 0 0 0 0 1 -1 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773018381455 1.010945321662 2 3 6 6 0132 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 1 0 -1 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 0.254520805777 0.534419521003 3 5 5 2 1230 3201 2310 0132 0 0 0 0 0 0 0 0 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 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 0.746428691346 0.807974817272 6 4 6 4 2031 2310 1302 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 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 -1.452759012002 1.716767475698 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(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_6']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0011_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_2, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1635/389*c_0101_5^7 - 4135/389*c_0101_5^6 - 16842/389*c_0101_5^5 - 12048/389*c_0101_5^4 - 8141/389*c_0101_5^3 - 3479/389*c_0101_5^2 + 919/389*c_0101_5 - 2964/389, c_0011_0 - 1, c_0011_2 + 82/389*c_0101_5^7 - 274/389*c_0101_5^6 - 597/389*c_0101_5^5 - 156/389*c_0101_5^4 - 680/389*c_0101_5^3 + 77/389*c_0101_5^2 + 299/389*c_0101_5 - 260/389, c_0011_3 - 47/389*c_0101_5^7 + 195/389*c_0101_5^6 + 290/389*c_0101_5^5 - 366/389*c_0101_5^4 - 578/389*c_0101_5^3 - 732/389*c_0101_5^2 + 118/389*c_0101_5 + 168/389, c_0011_5 + 82/389*c_0101_5^7 - 274/389*c_0101_5^6 - 597/389*c_0101_5^5 - 156/389*c_0101_5^4 - 680/389*c_0101_5^3 + 77/389*c_0101_5^2 + 299/389*c_0101_5 + 129/389, c_0011_6 + 75/389*c_0101_5^7 - 336/389*c_0101_5^6 - 380/389*c_0101_5^5 + 882/389*c_0101_5^4 + 583/389*c_0101_5^3 + 208/389*c_0101_5^2 + 60/389*c_0101_5 - 86/389, c_0101_0 - 1, c_0101_5^8 - 3*c_0101_5^7 - 9*c_0101_5^6 - 3*c_0101_5^5 - 2*c_0101_5^4 + c_0101_5^3 + 2*c_0101_5^2 - c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB