Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 155751719] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s173 geometric_solution 4.26805862 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 -1 0 1 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 1 -1 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 0.105089804229 2.682881797018 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 -1 0 1 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 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 -0.439900954271 0.423007163492 4 4 5 0 0132 2310 0132 0132 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 1 0 -1 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.103266497539 0.420185211976 4 4 0 5 1023 3201 0132 0132 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 -1 1 0 -1 0 1 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 -0.103266497539 0.420185211976 2 3 3 2 0132 1023 2310 3201 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.551579575726 2.244344356306 5 5 3 2 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852431260115 1.797478890396 ==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' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 291/646*c_1100_0^6 + 1988/969*c_1100_0^5 - 2612/969*c_1100_0^4 + 11375/1938*c_1100_0^3 - 3931/323*c_1100_0^2 + 1883/646*c_1100_0 - 23317/1938, c_0011_0 - 1, c_0011_2 + 5/931*c_1100_0^6 + 139/931*c_1100_0^5 - 242/931*c_1100_0^4 - 11/931*c_1100_0^3 - 1308/931*c_1100_0^2 + 201/931*c_1100_0 - 514/931, c_0011_5 - 5/49*c_1100_0^6 + 8/49*c_1100_0^5 - 3/49*c_1100_0^4 + 60/49*c_1100_0^3 - 15/49*c_1100_0^2 + 44/49*c_1100_0 - 74/49, c_0101_0 + 12/49*c_1100_0^6 - 29/49*c_1100_0^5 + 17/49*c_1100_0^4 - 95/49*c_1100_0^3 + 36/49*c_1100_0^2 - 37/49*c_1100_0 + 11/49, c_0101_5 - 206/931*c_1100_0^6 + 604/931*c_1100_0^5 - 643/931*c_1100_0^4 + 2129/931*c_1100_0^3 - 1598/931*c_1100_0^2 + 1215/931*c_1100_0 - 981/931, c_1100_0^7 - 5*c_1100_0^6 + 8*c_1100_0^5 - 16*c_1100_0^4 + 34*c_1100_0^3 - 19*c_1100_0^2 + 31*c_1100_0 - 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB