Magma V2.19-8 Tue Aug 20 2013 16:14:04 on localhost [Seed = 1966401865] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s011 geometric_solution 3.50234968 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 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 3.425823389042 0.690913704779 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 -0.532274027618 0.053139059177 0 3 3 0 3201 0132 3201 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 -0.476772462307 0.519783270730 2 2 4 5 2310 0132 0132 0132 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 0 -1 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 0.064709249727 0.571518396650 5 5 5 3 1023 3012 1230 0132 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953252913650 0.968945484375 4 4 3 4 1230 1023 0132 3012 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 0 -1 1 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 0.953252913650 0.968945484375 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(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_4'], 'c_0011_4' : d['c_0011_4'], '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_0011_4']), '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' : 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_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 9369/1421*c_0101_3^9 - 18411/1421*c_0101_3^8 - 121143/1421*c_0101_3^7 + 78220/1421*c_0101_3^6 + 351035/1421*c_0101_3^5 - 2453/49*c_0101_3^4 - 392346/1421*c_0101_3^3 - 11390/1421*c_0101_3^2 + 21768/203*c_0101_3 + 11122/1421, c_0011_0 - 1, c_0011_2 - 389/1421*c_0101_3^9 + 1049/1421*c_0101_3^8 + 4381/1421*c_0101_3^7 - 6480/1421*c_0101_3^6 - 11453/1421*c_0101_3^5 + 333/49*c_0101_3^4 + 10644/1421*c_0101_3^3 - 5755/1421*c_0101_3^2 - 32/29*c_0101_3 + 1476/1421, c_0011_4 + 59/1421*c_0101_3^9 - 897/1421*c_0101_3^8 + 720/1421*c_0101_3^7 + 9907/1421*c_0101_3^6 - 2325/1421*c_0101_3^5 - 703/49*c_0101_3^4 - 829/1421*c_0101_3^3 + 13271/1421*c_0101_3^2 + 22/29*c_0101_3 - 1254/1421, c_0101_0 - 275/1421*c_0101_3^9 + 1074/1421*c_0101_3^8 + 2593/1421*c_0101_3^7 - 8749/1421*c_0101_3^6 - 8166/1421*c_0101_3^5 + 541/49*c_0101_3^4 + 14100/1421*c_0101_3^3 - 8894/1421*c_0101_3^2 - 163/29*c_0101_3 + 185/1421, c_0101_1 + 53/1421*c_0101_3^9 - 300/1421*c_0101_3^8 + 141/1421*c_0101_3^7 + 1650/1421*c_0101_3^6 - 3919/1421*c_0101_3^5 + 3/49*c_0101_3^4 + 6842/1421*c_0101_3^3 - 699/1421*c_0101_3^2 - 81/29*c_0101_3 - 139/1421, c_0101_3^10 - 2*c_0101_3^9 - 13*c_0101_3^8 + 9*c_0101_3^7 + 39*c_0101_3^6 - 9*c_0101_3^5 - 46*c_0101_3^4 - c_0101_3^3 + 20*c_0101_3^2 + 2*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB