Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 3566553331] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s139 geometric_solution 4.19435895 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 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 -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 1.453312304929 0.277746116352 0 2 2 0 3201 0132 1023 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 -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 1.058877008500 0.305899279793 3 1 1 4 0132 0132 1023 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 1 0 -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 0.741072316004 0.317289746523 2 4 4 5 0132 1302 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428754524270 0.569373012025 3 5 2 3 2310 1023 0132 2031 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 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 0.428754524270 0.569373012025 4 5 3 5 1023 2310 0132 3201 0 0 0 0 0 1 0 -1 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.843978272567 1.120777563697 ==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_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' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0011_1'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 737526273/17767811*c_0101_3^11 + 1933565888/17767811*c_0101_3^10 + 15485571814/17767811*c_0101_3^9 + 771049623/17767811*c_0101_3^8 - 63860376162/17767811*c_0101_3^7 - 27178816276/17767811*c_0101_3^6 + 53836255427/17767811*c_0101_3^5 + 62866630071/17767811*c_0101_3^4 - 1339823404/17767811*c_0101_3^3 - 23778148979/17767811*c_0101_3^2 - 11441161534/17767811*c_0101_3 - 1905449321/17767811, c_0011_0 - 1, c_0011_1 - 27895634/17767811*c_0101_3^11 - 71252378/17767811*c_0101_3^10 - 582368531/17767811*c_0101_3^9 + 6713205/17767811*c_0101_3^8 + 2385290141/17767811*c_0101_3^7 + 874301671/17767811*c_0101_3^6 - 1971077903/17767811*c_0101_3^5 - 2224975890/17767811*c_0101_3^4 + 92211809/17767811*c_0101_3^3 + 817734529/17767811*c_0101_3^2 + 410319248/17767811*c_0101_3 + 69725076/17767811, c_0011_4 - 14228373/17767811*c_0101_3^11 - 33483285/17767811*c_0101_3^10 - 289323072/17767811*c_0101_3^9 + 64657525/17767811*c_0101_3^8 + 1226439618/17767811*c_0101_3^7 + 213259570/17767811*c_0101_3^6 - 1115173864/17767811*c_0101_3^5 - 975535571/17767811*c_0101_3^4 + 269682942/17767811*c_0101_3^3 + 433267339/17767811*c_0101_3^2 + 143560440/17767811*c_0101_3 + 3787937/17767811, c_0101_0 - 47997102/17767811*c_0101_3^11 - 134864217/17767811*c_0101_3^10 - 1030619753/17767811*c_0101_3^9 - 237517345/17767811*c_0101_3^8 + 4162259686/17767811*c_0101_3^7 + 2546902839/17767811*c_0101_3^6 - 3289867925/17767811*c_0101_3^5 - 4828365716/17767811*c_0101_3^4 - 509272436/17767811*c_0101_3^3 + 1741589213/17767811*c_0101_3^2 + 1025840423/17767811*c_0101_3 + 181940998/17767811, c_0101_2 - 39592440/17767811*c_0101_3^11 - 107711325/17767811*c_0101_3^10 - 841359506/17767811*c_0101_3^9 - 120944563/17767811*c_0101_3^8 + 3433246127/17767811*c_0101_3^7 + 1841131160/17767811*c_0101_3^6 - 2768429658/17767811*c_0101_3^5 - 3811189233/17767811*c_0101_3^4 - 250851012/17767811*c_0101_3^3 + 1386394387/17767811*c_0101_3^2 + 790991640/17767811*c_0101_3 + 135762314/17767811, c_0101_3^12 + 3*c_0101_3^11 + 22*c_0101_3^10 + 9*c_0101_3^9 - 86*c_0101_3^8 - 70*c_0101_3^7 + 58*c_0101_3^6 + 114*c_0101_3^5 + 32*c_0101_3^4 - 33*c_0101_3^3 - 29*c_0101_3^2 - 9*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB