Magma V2.19-8 Tue Aug 20 2013 16:19:25 on localhost [Seed = 2017060167] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3519 geometric_solution 6.80598250 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717834185192 0.851214455447 0 4 5 2 0132 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409122041103 0.413446274114 6 0 1 6 0132 0132 1230 0213 0 0 0 0 0 0 0 0 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 -1 0 1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350872383046 1.058482738843 6 4 0 0 1023 1023 1230 0132 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 -1 0 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 0.717834185192 0.851214455447 3 1 5 5 1023 0132 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350872383046 1.058482738843 4 4 6 1 2310 1302 0321 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 0.350872383046 1.058482738843 2 3 5 2 0132 1023 0321 0213 0 0 0 0 0 0 0 0 -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 1 0 -1 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350872383046 1.058482738843 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_4'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 6*c_0110_4^4 + 8*c_0110_4^3 + c_0110_4^2 - 3*c_0110_4 + 13, c_0011_0 - 1, c_0011_5 + c_0110_4^2, c_0101_0 - c_0110_4, c_0101_1 - c_0110_4^4 + c_0110_4^3 + 1, c_0101_2 + c_0110_4^4 - c_0110_4^3 - 1, c_0101_3 + 1, c_0110_4^5 - 2*c_0110_4^4 + c_0110_4^3 - 2*c_0110_4 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 576/7*c_0110_4^5 - 1179/35*c_0110_4^4 - 181/7*c_0110_4^3 + 1959/35*c_0110_4^2 - 2743/35*c_0110_4 + 486/35, c_0011_0 - 1, c_0011_5 - 40/7*c_0110_4^5 + 3/7*c_0110_4^4 + 3/7*c_0110_4^3 + 39/7*c_0110_4^2 - 51/7*c_0110_4 + 17/7, c_0101_0 - c_0110_4, c_0101_1 + 10/7*c_0110_4^5 + 13/7*c_0110_4^4 + 2*c_0110_4^3 - 3/7*c_0110_4^2 + 2/7*c_0110_4 - 2/7, c_0101_2 + 30/7*c_0110_4^5 + 9/7*c_0110_4^4 + 13/7*c_0110_4^3 - 18/7*c_0110_4^2 + 32/7*c_0110_4 - 9/7, c_0101_3 - 5/7*c_0110_4^4 + 1/7*c_0110_4^3 + 9/7*c_0110_4^2 + 9/7*c_0110_4 - 4/7, c_0110_4^6 - 1/5*c_0110_4^5 + 1/5*c_0110_4^4 - 4/5*c_0110_4^3 + 7/5*c_0110_4^2 - 4/5*c_0110_4 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB