Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 206410097] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2974 geometric_solution 6.15550595 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0321 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 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 0.872655662916 1.352796795774 0 4 0 5 0132 0132 0321 0132 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 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 0.872655662916 1.352796795774 6 0 5 4 0132 0132 2310 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124460560528 0.554439915448 5 4 0 6 0321 3201 0132 1023 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 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 0.663273647731 0.521995501501 6 1 3 2 1023 0132 2310 2103 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124460560528 0.554439915448 3 2 1 6 0321 3201 0132 0132 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 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 0.663273647731 0.521995501501 2 4 5 3 0132 1023 0132 1023 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 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 0.910779638900 0.773657884493 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_1001_0'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 36/59*c_1001_0^6 - 700/59*c_1001_0^5 + 1341/59*c_1001_0^4 - 1206/59*c_1001_0^3 + 243/59*c_1001_0^2 + 568/59*c_1001_0 + 65/59, c_0011_0 - 1, c_0011_3 - 92/59*c_1001_0^6 + 204/59*c_1001_0^5 - 113/59*c_1001_0^4 - 14/59*c_1001_0^3 + 90/59*c_1001_0^2 + 88/59*c_1001_0 - 83/59, c_0011_5 + 92/59*c_1001_0^6 - 204/59*c_1001_0^5 + 113/59*c_1001_0^4 + 14/59*c_1001_0^3 - 90/59*c_1001_0^2 - 88/59*c_1001_0 + 83/59, c_0101_0 - 112/59*c_1001_0^6 + 156/59*c_1001_0^5 - 76/59*c_1001_0^4 - 35/59*c_1001_0^3 + 107/59*c_1001_0^2 + 102/59*c_1001_0 - 60/59, c_0101_2 - 128/59*c_1001_0^6 + 212/59*c_1001_0^5 - 188/59*c_1001_0^4 + 19/59*c_1001_0^3 + 38/59*c_1001_0^2 + 66/59*c_1001_0 - 77/59, c_0101_4 + 128/59*c_1001_0^6 - 212/59*c_1001_0^5 + 188/59*c_1001_0^4 - 19/59*c_1001_0^3 - 38/59*c_1001_0^2 - 66/59*c_1001_0 + 77/59, c_1001_0^7 - 2*c_1001_0^6 + 7/4*c_1001_0^5 - 1/4*c_1001_0^4 - 3/4*c_1001_0^3 - 1/2*c_1001_0^2 + 3/4*c_1001_0 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB