Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 4105529807] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2430 geometric_solution 5.77744755 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.878600791856 0.990724757333 0 5 4 5 0132 0132 2310 2310 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 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 0.551937763618 0.163534923767 2 0 2 4 2031 0132 1302 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 1 -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 0 0 0 0.702986434271 1.409506464371 5 6 6 0 2310 0132 3201 0132 0 0 0 0 0 0 -1 1 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 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 1.026258896278 0.627493033155 2 1 0 6 3201 3201 0132 1302 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 0 -1 1 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 0.878600791856 0.990724757333 1 1 3 6 3201 0132 3201 0213 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905311491420 0.422944884530 3 3 4 5 2310 0132 2031 0213 0 0 0 0 0 0 0 0 1 0 -1 0 1 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290745726254 0.433664562739 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_1001_1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_0101_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), '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_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_1, c_0101_3, c_0110_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 12*c_1001_1^2 - 21*c_1001_1 + 16, c_0011_0 - 1, c_0011_3 - c_1001_1 - 1, c_0101_0 - c_1001_1, c_0101_1 + c_1001_1, c_0101_3 + c_1001_1^2, c_0110_4 + c_1001_1^2 - 1, c_1001_1^3 - c_1001_1^2 + 1 ], 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_1, c_0101_3, c_0110_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3814/151*c_1001_1^9 + 4440/151*c_1001_1^8 + 22203/151*c_1001_1^7 - 22558/151*c_1001_1^6 - 42374/151*c_1001_1^5 + 55706/151*c_1001_1^4 + 37118/151*c_1001_1^3 - 62425/151*c_1001_1^2 - 17785/151*c_1001_1 + 24689/151, c_0011_0 - 1, c_0011_3 + 25/151*c_1001_1^9 - 12/151*c_1001_1^8 - 120/151*c_1001_1^7 - 28/151*c_1001_1^6 + 219/151*c_1001_1^5 + 109/151*c_1001_1^4 - 346/151*c_1001_1^3 - 270/151*c_1001_1^2 + 246/151*c_1001_1 + 141/151, c_0101_0 - c_1001_1, c_0101_1 - 70/151*c_1001_1^9 + 94/151*c_1001_1^8 + 336/151*c_1001_1^7 - 435/151*c_1001_1^6 - 432/151*c_1001_1^5 + 933/151*c_1001_1^4 + 244/151*c_1001_1^3 - 754/151*c_1001_1^2 - 115/151*c_1001_1 + 179/151, c_0101_3 + 9/151*c_1001_1^9 + 44/151*c_1001_1^8 - 164/151*c_1001_1^7 - 149/151*c_1001_1^6 + 556/151*c_1001_1^5 + 3/151*c_1001_1^4 - 795/151*c_1001_1^3 + 235/151*c_1001_1^2 + 457/151*c_1001_1 - 64/151, c_0110_4 - 62/151*c_1001_1^9 + 66/151*c_1001_1^8 + 358/151*c_1001_1^7 - 299/151*c_1001_1^6 - 676/151*c_1001_1^5 + 684/151*c_1001_1^4 + 544/151*c_1001_1^3 - 629/151*c_1001_1^2 - 145/151*c_1001_1 + 55/151, c_1001_1^10 - c_1001_1^9 - 6*c_1001_1^8 + 5*c_1001_1^7 + 12*c_1001_1^6 - 13*c_1001_1^5 - 12*c_1001_1^4 + 15*c_1001_1^3 + 7*c_1001_1^2 - 6*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB