Magma V2.19-8 Tue Aug 20 2013 16:16:35 on localhost [Seed = 442205894] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0886 geometric_solution 4.78777152 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 2.982115259017 1.067842113486 0 1 1 0 0132 3201 2310 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 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 -0.553590289507 0.096126884135 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 1 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 0 0 0 0 1 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 0 0 0 -0.083736155763 0.700129546714 4 2 5 4 2310 0132 0132 2031 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 -1 1 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 0.228596874317 0.763356536715 5 3 3 2 2310 1302 3201 0132 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 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 0.228596874317 0.763356536715 6 6 4 3 0132 2310 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -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 0.285753762705 0.972588898373 5 6 6 5 0132 1230 3012 3201 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 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 -0.397752106756 0.527139288554 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 1187/77*c_0101_3^9 + 12/77*c_0101_3^8 + 197/77*c_0101_3^7 - 4735/154*c_0101_3^6 - 2369/154*c_0101_3^5 - 5569/154*c_0101_3^4 - 481/154*c_0101_3^3 - 2854/77*c_0101_3^2 + 14067/154*c_0101_3 - 779/154, c_0011_0 - 1, c_0011_2 + 2/7*c_0101_3^9 + 5/14*c_0101_3^8 + 1/14*c_0101_3^7 - 5/14*c_0101_3^6 - 6/7*c_0101_3^5 - 8/7*c_0101_3^4 - 10/7*c_0101_3^3 - 19/14*c_0101_3^2 + 8/7*c_0101_3 + 13/14, c_0011_4 - 5/14*c_0101_1*c_0101_3^9 - 1/14*c_0101_1*c_0101_3^8 - 3/14*c_0101_1*c_0101_3^7 + 4/7*c_0101_1*c_0101_3^6 + 4/7*c_0101_1*c_0101_3^5 + 10/7*c_0101_1*c_0101_3^4 + 11/14*c_0101_1*c_0101_3^3 + 4/7*c_0101_1*c_0101_3^2 - 27/14*c_0101_1*c_0101_3 - 2/7*c_0101_1, c_0011_5 - 4/7*c_0101_1*c_0101_3^9 - 3/14*c_0101_1*c_0101_3^8 - 1/7*c_0101_1*c_0101_3^7 + 17/14*c_0101_1*c_0101_3^6 + 5/7*c_0101_1*c_0101_3^5 + 9/7*c_0101_1*c_0101_3^4 + 5/14*c_0101_1*c_0101_3^3 + 12/7*c_0101_1*c_0101_3^2 - 16/7*c_0101_1*c_0101_3 + 1/7*c_0101_1, c_0101_0 - 2/7*c_0101_1*c_0101_3^9 - 5/14*c_0101_1*c_0101_3^8 - 1/14*c_0101_1*c_0101_3^7 + 5/14*c_0101_1*c_0101_3^6 + 6/7*c_0101_1*c_0101_3^5 + 8/7*c_0101_1*c_0101_3^4 + 10/7*c_0101_1*c_0101_3^3 + 19/14*c_0101_1*c_0101_3^2 - 8/7*c_0101_1*c_0101_3 - 27/14*c_0101_1, c_0101_1^2 + 1/14*c_0101_3^9 + 3/14*c_0101_3^8 + 1/7*c_0101_3^7 - 3/14*c_0101_3^6 - 3/14*c_0101_3^5 - 11/14*c_0101_3^4 - 5/14*c_0101_3^3 - 17/14*c_0101_3^2 + 2/7*c_0101_3 - 1/7, c_0101_3^10 - 2*c_0101_3^7 - c_0101_3^6 - 2*c_0101_3^5 - 2*c_0101_3^3 + 6*c_0101_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB