Magma V2.19-8 Tue Aug 20 2013 16:17:50 on localhost [Seed = 4273955359] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2067 geometric_solution 5.58636161 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 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 -0.730755554760 0.517807366499 0 1 0 1 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.264244846927 1.241626132331 4 3 5 0 0132 2031 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 -1 0 0 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 0.299120595867 0.576155019435 2 4 0 5 1302 0132 0132 0132 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 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 0.299120595867 0.576155019435 2 3 4 4 0132 0132 1230 3012 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 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 0.353223889599 0.596084186509 6 6 3 2 0132 3201 0132 0132 0 0 0 0 0 1 -1 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 -1 1 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 -0.009005990339 2.649430281767 5 6 5 6 0132 1302 2310 2031 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 -0.412938342244 0.644727724074 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/2, c_0011_0 - 1, c_0011_2 - 1, c_0011_5 + 1, c_0101_0 - c_0101_5, c_0101_2 - 1, c_0101_5^2 - 2, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 7/4*c_1100_0^3 + 15/2*c_1100_0^2 - 13/2*c_1100_0 - 21, c_0011_0 - 1, c_0011_2 - 1/2*c_1100_0^3 - 5/2*c_1100_0^2 + 2, c_0011_5 - 1/2*c_1100_0^2 - c_1100_0, c_0101_0 + 1/2*c_0101_5*c_1100_0^3 + 5/2*c_0101_5*c_1100_0^2 + c_0101_5*c_1100_0, c_0101_2 - 1, c_0101_5^2 + 1/2*c_1100_0^3 + c_1100_0^2 - 1, c_1100_0^4 + 6*c_1100_0^3 + 6*c_1100_0^2 - 4*c_1100_0 - 4 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 82107/40644956*c_1100_0^7 - 1766847/20322478*c_1100_0^6 + 65241305/40644956*c_1100_0^5 - 179797161/20322478*c_1100_0^4 + 185048676/10161239*c_1100_0^3 - 9589881/883586*c_1100_0^2 + 5154135/3694996*c_1100_0 - 371700089/20322478, c_0011_0 - 1, c_0011_2 - 18716/10161239*c_1100_0^7 + 518777/20322478*c_1100_0^6 - 1190021/10161239*c_1100_0^5 + 2098509/10161239*c_1100_0^4 - 3886109/20322478*c_1100_0^3 + 54299/441793*c_1100_0^2 - 9969273/20322478*c_1100_0 + 1334689/1847498, c_0011_5 - 17399/20322478*c_1100_0^7 + 43338/10161239*c_1100_0^6 + 953003/20322478*c_1100_0^5 - 4125015/10161239*c_1100_0^4 + 23082357/20322478*c_1100_0^3 - 1382847/883586*c_1100_0^2 + 23120321/20322478*c_1100_0 - 1376045/1847498, c_0101_0 - 108847/40644956*c_0101_5*c_1100_0^7 + 2257485/40644956*c_0101_5*c_1100_0^6 - 17691763/40644956*c_0101_5*c_1100_0^5 + 63863457/40644956*c_0101_5*c_1100_0^4 - 51686661/20322478*c_0101_5*c_1100_0^3 + 776212/441793*c_0101_5*c_1100_0^2 - 59542185/40644956*c_0101_5*c_1100_0 + 5510753/3694996*c_0101_5, c_0101_2 + 18716/10161239*c_1100_0^7 - 518777/20322478*c_1100_0^6 + 1190021/10161239*c_1100_0^5 - 2098509/10161239*c_1100_0^4 + 3886109/20322478*c_1100_0^3 - 54299/441793*c_1100_0^2 + 9969273/20322478*c_1100_0 + 512809/1847498, c_0101_5^2 + 39706/10161239*c_1100_0^7 - 516089/10161239*c_1100_0^6 + 2747226/10161239*c_1100_0^5 - 8246979/10161239*c_1100_0^4 + 12700826/10161239*c_1100_0^3 - 441465/441793*c_1100_0^2 + 3732522/10161239*c_1100_0 + 58841/923749, c_1100_0^8 - 16*c_1100_0^7 + 94*c_1100_0^6 - 252*c_1100_0^5 + 345*c_1100_0^4 - 302*c_1100_0^3 + 269*c_1100_0^2 - 110*c_1100_0 + 121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB