Magma V2.19-8 Tue Aug 20 2013 16:18:25 on localhost [Seed = 4172899791] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2619 geometric_solution 5.90143199 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 -1 0 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 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 0.265339075458 0.589311463975 0 3 5 4 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.455575854637 1.593063674580 5 4 0 6 0132 2310 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 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 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 1.455575854637 1.593063674580 4 1 6 6 0132 0132 2310 3120 0 0 0 0 0 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 0 0 0 0 0 0 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 0 0 0 0 0 0.784592480112 0.838349509847 3 6 1 2 0132 2310 0132 3201 0 0 0 0 0 -1 0 1 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 1 0 -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 0.300816243433 0.248158618713 2 5 5 1 0132 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127415737666 0.525426460284 3 3 2 4 3120 3201 0132 3201 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 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 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784592480112 0.838349509847 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_1001_3']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : 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_6, c_0101_0, c_0101_1, c_0101_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3349886/10933*c_1001_3^10 - 1497907/10933*c_1001_3^9 - 89730754/10933*c_1001_3^8 - 318356760/10933*c_1001_3^7 - 548956282/10933*c_1001_3^6 - 498688789/10933*c_1001_3^5 - 147688898/10933*c_1001_3^4 + 153157042/10933*c_1001_3^3 + 163962388/10933*c_1001_3^2 + 60725273/10933*c_1001_3 + 8137348/10933, c_0011_0 - 1, c_0011_2 + 50096/841*c_1001_3^10 - 18478/841*c_1001_3^9 - 1345958/841*c_1001_3^8 - 4863661/841*c_1001_3^7 - 8520959/841*c_1001_3^6 - 7912978/841*c_1001_3^5 - 2518821/841*c_1001_3^4 + 2298118/841*c_1001_3^3 + 2608456/841*c_1001_3^2 + 982965/841*c_1001_3 + 133805/841, c_0011_6 - 8620/841*c_1001_3^10 + 2925/841*c_1001_3^9 + 231586/841*c_1001_3^8 + 843820/841*c_1001_3^7 + 1493873/841*c_1001_3^6 + 1413360/841*c_1001_3^5 + 483560/841*c_1001_3^4 - 379646/841*c_1001_3^3 - 465908/841*c_1001_3^2 - 186926/841*c_1001_3 - 27574/841, c_0101_0 - 18954/841*c_1001_3^10 + 5695/841*c_1001_3^9 + 509987/841*c_1001_3^8 + 1875012/841*c_1001_3^7 + 3342551/841*c_1001_3^6 + 3186621/841*c_1001_3^5 + 1108646/841*c_1001_3^4 - 848412/841*c_1001_3^3 - 1057052/841*c_1001_3^2 - 422552/841*c_1001_3 - 61240/841, c_0101_1 - 55299/841*c_1001_3^10 + 21686/841*c_1001_3^9 + 1484527/841*c_1001_3^8 + 5334807/841*c_1001_3^7 + 9300642/841*c_1001_3^6 + 8578688/841*c_1001_3^5 + 2672893/841*c_1001_3^4 - 2531841/841*c_1001_3^3 - 2819110/841*c_1001_3^2 - 1054225/841*c_1001_3 - 142774/841, c_0101_3 - c_1001_3, c_1001_3^11 - 27*c_1001_3^9 - 107*c_1001_3^8 - 206*c_1001_3^7 - 221*c_1001_3^6 - 109*c_1001_3^5 + 27*c_1001_3^4 + 69*c_1001_3^3 + 39*c_1001_3^2 + 10*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB