Magma V2.19-8 Tue Aug 20 2013 16:17:01 on localhost [Seed = 1545453709] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1266 geometric_solution 5.16213422 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 1.710734845200 0.218652760851 0 2 2 0 3201 0132 1023 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 0 1 -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 0 0 0 1.387580968158 0.794729042199 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 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 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 0.186318515539 0.303521545654 2 5 6 5 0132 0132 0132 1023 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 0 0 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931310984463 1.607277416401 6 5 2 5 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 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 0.931310984463 1.607277416401 4 3 4 3 3201 0132 2310 1023 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286862733884 0.431433267372 4 6 6 3 0132 1230 3012 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466676427937 0.556085888070 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_2'], '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_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 376239/11305*c_0110_5^5 + 154292/665*c_0110_5^4 - 4479474/11305*c_0110_5^3 + 122446/11305*c_0110_5^2 - 739549/2261*c_0110_5 + 3092546/11305, c_0011_0 - 1, c_0011_1 - 41/323*c_0110_5^5 + 17/19*c_0110_5^4 - 577/323*c_0110_5^3 + 296/323*c_0110_5^2 - 218/323*c_0110_5 + 356/323, c_0011_4 + 39/323*c_0110_5^5 - 12/19*c_0110_5^4 + 281/323*c_0110_5^3 - 124/323*c_0110_5^2 + 231/323*c_0110_5 + 8/323, c_0101_0 + 59/323*c_0110_5^5 - 24/19*c_0110_5^4 + 657/323*c_0110_5^3 + 94/323*c_0110_5^2 + 747/323*c_0110_5 - 402/323, c_0101_2 + 3/323*c_0110_5^5 + 2/19*c_0110_5^4 - 202/323*c_0110_5^3 + 65/323*c_0110_5^2 + 142/323*c_0110_5 + 100/323, c_0101_3 + 20/323*c_0110_5^5 - 12/19*c_0110_5^4 + 376/323*c_0110_5^3 + 218/323*c_0110_5^2 + 193/323*c_0110_5 - 410/323, c_0110_5^6 - 7*c_0110_5^5 + 12*c_0110_5^4 + 9*c_0110_5^2 - 9*c_0110_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 376239/11305*c_0110_5^5 + 154292/665*c_0110_5^4 - 4479474/11305*c_0110_5^3 + 122446/11305*c_0110_5^2 - 739549/2261*c_0110_5 + 3092546/11305, c_0011_0 - 1, c_0011_1 - 41/323*c_0110_5^5 + 17/19*c_0110_5^4 - 577/323*c_0110_5^3 + 296/323*c_0110_5^2 - 218/323*c_0110_5 + 356/323, c_0011_4 + 39/323*c_0110_5^5 - 12/19*c_0110_5^4 + 281/323*c_0110_5^3 - 124/323*c_0110_5^2 + 231/323*c_0110_5 + 8/323, c_0101_0 - 59/323*c_0110_5^5 + 24/19*c_0110_5^4 - 657/323*c_0110_5^3 - 94/323*c_0110_5^2 - 747/323*c_0110_5 + 402/323, c_0101_2 - 3/323*c_0110_5^5 - 2/19*c_0110_5^4 + 202/323*c_0110_5^3 - 65/323*c_0110_5^2 - 142/323*c_0110_5 - 100/323, c_0101_3 + 20/323*c_0110_5^5 - 12/19*c_0110_5^4 + 376/323*c_0110_5^3 + 218/323*c_0110_5^2 + 193/323*c_0110_5 - 410/323, c_0110_5^6 - 7*c_0110_5^5 + 12*c_0110_5^4 + 9*c_0110_5^2 - 9*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB