Magma V2.19-8 Tue Aug 20 2013 16:14:04 on localhost [Seed = 2884253591] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s017 geometric_solution 3.52619599 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 1 0 1 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547642264851 0.036382904468 2 0 2 0 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0.345487193039 0.197590677435 1 3 1 4 0132 0132 1023 0132 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 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 0.833282346041 6.500189663773 4 2 5 4 3201 0132 0132 3120 0 0 0 0 0 -1 0 1 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 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 0.224985089829 0.413320524541 3 5 2 3 3120 0132 0132 2310 0 0 0 0 0 1 0 -1 -1 0 1 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 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 0.224985089829 0.413320524541 5 4 5 3 2031 0132 1302 0132 0 0 0 0 0 -1 1 0 -1 0 0 1 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 -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 1.004579424184 0.535748782504 ==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' : negation(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' : negation(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' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(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_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : d['c_0101_2']})} 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_4, c_0101_2, c_0101_3, c_0110_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 13873353/90067670*c_1001_3^7 + 5938029/6433405*c_1001_3^6 + 22185057/45033835*c_1001_3^5 - 47784921/4093985*c_1001_3^4 + 659722169/90067670*c_1001_3^3 + 107011018/6433405*c_1001_3^2 - 135780467/12866810*c_1001_3 - 322293639/90067670, c_0011_0 - 1, c_0011_4 + 213571/6433405*c_1001_3^7 + 590849/2573362*c_1001_3^6 + 4278821/12866810*c_1001_3^5 - 5413231/2573362*c_1001_3^4 - 1672239/12866810*c_1001_3^3 + 18789163/6433405*c_1001_3^2 - 2164604/6433405*c_1001_3 - 294701/233942, c_0101_2 + 281/48554*c_1001_3^7 + 2985/48554*c_1001_3^6 + 10927/48554*c_1001_3^5 - 1103/48554*c_1001_3^4 - 28074/24277*c_1001_3^3 - 12668/24277*c_1001_3^2 + 88845/48554*c_1001_3 + 1011/2207, c_0101_3 - 438551/12866810*c_1001_3^7 - 332253/1286681*c_1001_3^6 - 3103024/6433405*c_1001_3^5 + 2589657/1286681*c_1001_3^4 + 20285597/12866810*c_1001_3^3 - 25813999/6433405*c_1001_3^2 - 15496271/12866810*c_1001_3 + 545877/233942, c_0110_0 + 284683/12866810*c_1001_3^7 + 426851/2573362*c_1001_3^6 + 3963709/12866810*c_1001_3^5 - 3362015/2573362*c_1001_3^4 - 7154918/6433405*c_1001_3^3 + 8629337/6433405*c_1001_3^2 + 16880753/12866810*c_1001_3 + 35761/116971, c_1001_3^8 + 6*c_1001_3^7 + 3*c_1001_3^6 - 77*c_1001_3^5 + 48*c_1001_3^4 + 131*c_1001_3^3 - 91*c_1001_3^2 - 69*c_1001_3 + 55 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB