Magma V2.19-8 Tue Aug 20 2013 16:19:03 on localhost [Seed = 2033771532] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3200 geometric_solution 6.34587772 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2103 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 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 0.890131692495 0.782243898975 0 4 5 4 0132 0132 0132 3012 0 0 0 0 0 1 -1 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 1 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 0.454249748199 0.353113077172 5 0 3 0 2103 0132 2310 2103 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 -1 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 0.890131692495 0.782243898975 6 2 4 0 0132 3201 1302 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 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 0.908499496397 0.706226154344 3 1 1 6 2031 0132 1230 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627775596706 1.066704788587 6 6 2 1 1023 1302 2103 0132 0 0 0 0 0 -1 0 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 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 1.291618187350 0.835706939504 3 5 4 5 0132 1023 2031 2031 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 0 0 0 0.291618187350 0.835706939504 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0011_0']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_1001_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_3, c_0101_0, c_0101_2, c_0101_4, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 58/13*c_1001_1^2 + 77/13*c_1001_1 - 41/13, c_0011_0 - 1, c_0011_3 - c_0101_4 + 2*c_1001_1^2 - 1, c_0101_0 + 2*c_0101_4*c_1001_1^2 - c_0101_4*c_1001_1 - c_0101_4 + 2*c_1001_1^2 - 1, c_0101_2 + 2*c_0101_4*c_1001_1^2 - c_0101_4*c_1001_1 - c_0101_4 + c_1001_1, c_0101_4^2 - 2*c_0101_4*c_1001_1^2 + c_0101_4 - c_1001_1^2 + 1, c_1001_0 - 2*c_1001_1^2 - c_1001_1 + 1, c_1001_1^3 - 1/2*c_1001_1^2 - 1/2*c_1001_1 + 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_4, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 448/5*c_1001_1^5 - 604/5*c_1001_1^4 + 932/5*c_1001_1^3 + 254*c_1001_1^2 - 512/5*c_1001_1 - 1319/10, c_0011_0 - 1, c_0011_3 - 4/5*c_1001_1^5 - 12/5*c_1001_1^4 + 6/5*c_1001_1^3 + 4*c_1001_1^2 - 7/10*c_1001_1 - 6/5, c_0101_0 + 2/5*c_1001_1^5 + 6/5*c_1001_1^4 + 7/5*c_1001_1^3 - 2*c_1001_1^2 - 43/20*c_1001_1 + 11/10, c_0101_2 - 2/5*c_1001_1^5 - 6/5*c_1001_1^4 - 7/5*c_1001_1^3 + 2*c_1001_1^2 + 43/20*c_1001_1 - 11/10, c_0101_4 + 4/5*c_1001_1^5 + 12/5*c_1001_1^4 - 6/5*c_1001_1^3 - 4*c_1001_1^2 + 7/10*c_1001_1 + 6/5, c_1001_0 - 14/5*c_1001_1^5 - 2/5*c_1001_1^4 + 31/5*c_1001_1^3 - 79/20*c_1001_1 + 3/10, c_1001_1^6 + c_1001_1^5 - 5/2*c_1001_1^4 - 2*c_1001_1^3 + 17/8*c_1001_1^2 + c_1001_1 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB