Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 3684321032] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1257 geometric_solution 5.15852981 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 0 1 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 1 0 -1 -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 0.438652345350 0.574263952505 0 3 2 4 0132 0132 1230 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 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 1.159983582992 1.099711771552 3 0 4 1 2310 0132 2310 3012 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 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 1.159983582992 1.099711771552 3 1 2 3 3201 0132 3201 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 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 -0.254306537080 0.690623670172 5 2 1 5 0132 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643189622661 0.256768414102 4 6 6 4 0132 0132 3201 1023 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.006778903896 0.384434611973 5 5 6 6 2310 0132 1230 3012 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 1.494928523592 0.334403276888 ==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' : 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_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' : 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_0101_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4810/109*c_0101_5*c_0101_6^8 - 35950/109*c_0101_5*c_0101_6^7 - 143853/109*c_0101_5*c_0101_6^6 - 134108/109*c_0101_5*c_0101_6^5 + 30532/109*c_0101_5*c_0101_6^4 + 101500/109*c_0101_5*c_0101_6^3 + 19502/109*c_0101_5*c_0101_6^2 - 26388/109*c_0101_5*c_0101_6 - 8847/109*c_0101_5, c_0011_0 - 1, c_0011_4 - 184/109*c_0101_5*c_0101_6^8 + 1341/109*c_0101_5*c_0101_6^7 + 5718/109*c_0101_5*c_0101_6^6 + 6510/109*c_0101_5*c_0101_6^5 + 543/109*c_0101_5*c_0101_6^4 - 3982/109*c_0101_5*c_0101_6^3 - 1906/109*c_0101_5*c_0101_6^2 + 583/109*c_0101_5*c_0101_6 + 439/109*c_0101_5, c_0101_0 - 131/109*c_0101_6^8 + 934/109*c_0101_6^7 + 4302/109*c_0101_6^6 + 4591/109*c_0101_6^5 - 486/109*c_0101_6^4 - 3194/109*c_0101_6^3 - 889/109*c_0101_6^2 + 732/109*c_0101_6 + 184/109, c_0101_1 + 56/109*c_0101_6^8 - 574/109*c_0101_6^7 - 437/109*c_0101_6^6 + 2464/109*c_0101_6^5 + 2882/109*c_0101_6^4 - 570/109*c_0101_6^3 - 1998/109*c_0101_6^2 - 40/109*c_0101_6 + 364/109, c_0101_2 - 371/109*c_0101_5*c_0101_6^8 + 2849/109*c_0101_5*c_0101_6^7 + 10457/109*c_0101_5*c_0101_6^6 + 8637/109*c_0101_5*c_0101_6^5 - 2825/109*c_0101_5*c_0101_6^4 - 6606/109*c_0101_5*c_0101_6^3 - 797/109*c_0101_5*c_0101_6^2 + 1246/109*c_0101_5*c_0101_6 + 150/109*c_0101_5, c_0101_5^2 + 301/109*c_0101_6^8 - 2404/109*c_0101_6^7 - 7758/109*c_0101_6^6 - 4523/109*c_0101_6^5 + 4073/109*c_0101_6^4 + 4430/109*c_0101_6^3 - 793/109*c_0101_6^2 - 1087/109*c_0101_6 + 49/109, c_0101_6^9 - 8*c_0101_6^8 - 26*c_0101_6^7 - 12*c_0101_6^6 + 22*c_0101_6^5 + 19*c_0101_6^4 - 7*c_0101_6^3 - 8*c_0101_6^2 + c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB