Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 3246415330] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s277 geometric_solution 4.44589221 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 2031 0 0 0 0 0 -1 0 1 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 -1 1 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 0.693803629011 1.118349071155 0 3 4 4 0132 2031 2310 0132 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 0 0 0 0 0.064837549734 0.372739515754 2 0 3 2 3012 0132 3120 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693803629011 1.118349071155 1 0 2 0 1302 1302 3120 0132 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 1 -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 0.599436291929 0.645672683347 5 1 1 5 0132 3201 0132 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 -0.574790895622 0.627249225266 4 4 5 5 0132 2310 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.529416325609 0.936830933672 ==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' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0011_3']})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 41471/3847*c_0101_5^10 + 5381/3847*c_0101_5^9 + 242422/3847*c_0101_5^8 - 366435/3847*c_0101_5^7 - 4987/3847*c_0101_5^6 + 13157/3847*c_0101_5^5 + 230002/3847*c_0101_5^4 - 213413/3847*c_0101_5^3 - 113167/3847*c_0101_5^2 + 328132/3847*c_0101_5 - 145188/3847, c_0011_0 - 1, c_0011_3 - 4690/3847*c_0101_5^10 - 3302/3847*c_0101_5^9 + 24972/3847*c_0101_5^8 - 20342/3847*c_0101_5^7 - 18672/3847*c_0101_5^6 - 12933/3847*c_0101_5^5 + 13693/3847*c_0101_5^4 - 8519/3847*c_0101_5^3 - 17282/3847*c_0101_5^2 + 21417/3847*c_0101_5 + 2416/3847, c_0011_4 - 2517/3847*c_0101_5^10 - 1590/3847*c_0101_5^9 + 13474/3847*c_0101_5^8 - 11629/3847*c_0101_5^7 - 8313/3847*c_0101_5^6 - 7127/3847*c_0101_5^5 + 7945/3847*c_0101_5^4 - 5393/3847*c_0101_5^3 - 8133/3847*c_0101_5^2 + 15975/3847*c_0101_5 + 1669/3847, c_0101_0 + 13581/3847*c_0101_2*c_0101_5^10 + 9565/3847*c_0101_2*c_0101_5^9 - 73628/3847*c_0101_2*c_0101_5^8 + 57194/3847*c_0101_2*c_0101_5^7 + 61586/3847*c_0101_2*c_0101_5^6 + 36910/3847*c_0101_2*c_0101_5^5 - 54630/3847*c_0101_2*c_0101_5^4 + 19438/3847*c_0101_2*c_0101_5^3 + 64205/3847*c_0101_2*c_0101_5^2 - 58974/3847*c_0101_2*c_0101_5 - 9762/3847*c_0101_2, c_0101_2^2 + 4690/3847*c_0101_5^10 + 3302/3847*c_0101_5^9 - 24972/3847*c_0101_5^8 + 20342/3847*c_0101_5^7 + 18672/3847*c_0101_5^6 + 12933/3847*c_0101_5^5 - 13693/3847*c_0101_5^4 + 8519/3847*c_0101_5^3 + 17282/3847*c_0101_5^2 - 21417/3847*c_0101_5 - 6263/3847, c_0101_5^11 - 6*c_0101_5^9 + 8*c_0101_5^8 + 2*c_0101_5^7 - c_0101_5^6 - 6*c_0101_5^5 + 4*c_0101_5^4 + 4*c_0101_5^3 - 8*c_0101_5^2 + 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB