Magma V2.19-8 Tue Aug 20 2013 16:18:26 on localhost [Seed = 1680210257] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2631 geometric_solution 5.90833957 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881338978735 0.496211096617 3 0 5 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 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 0.922348700915 0.619388394953 4 5 0 3 1023 1023 0132 1023 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.922348700915 0.619388394953 1 3 3 2 0132 1230 3012 1023 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 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697520531406 0.400905304676 4 2 1 4 3201 1023 0132 2310 0 0 0 0 0 0 1 -1 1 0 -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 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 -0.049702234889 0.902690702572 2 6 6 1 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697520531406 0.400905304676 6 5 5 6 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.138462468794 0.485062494059 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), '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_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_5']})} 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_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 95420079/206141*c_0101_3*c_0101_6^7 - 83812585/206141*c_0101_3*c_0101_6^6 - 187559493/206141*c_0101_3*c_0101_6^5 - 842307727/206141*c_0101_3*c_0101_6^4 + 81620763/412282*c_0101_3*c_0101_6^3 - 352978398/206141*c_0101_3*c_0101_6^2 + 663406184/206141*c_0101_3*c_0101_6 - 23936335/412282*c_0101_3, c_0011_0 - 1, c_0011_2 - 10626/15857*c_0101_3*c_0101_6^7 - 12128/15857*c_0101_3*c_0101_6^6 - 24960/15857*c_0101_3*c_0101_6^5 - 101508/15857*c_0101_3*c_0101_6^4 - 22813/15857*c_0101_3*c_0101_6^3 - 58627/15857*c_0101_3*c_0101_6^2 + 56526/15857*c_0101_3*c_0101_6 + 21329/15857*c_0101_3, c_0101_1 + 4642/15857*c_0101_6^7 + 3394/15857*c_0101_6^6 + 9328/15857*c_0101_6^5 + 45132/15857*c_0101_6^4 - 8419/15857*c_0101_6^3 + 38448/15857*c_0101_6^2 - 19966/15857*c_0101_6 - 12535/15857, c_0101_2 + 15108/15857*c_0101_3*c_0101_6^7 + 17154/15857*c_0101_3*c_0101_6^6 + 34718/15857*c_0101_3*c_0101_6^5 + 140384/15857*c_0101_3*c_0101_6^4 + 27296/15857*c_0101_3*c_0101_6^3 + 66263/15857*c_0101_3*c_0101_6^2 - 98240/15857*c_0101_3*c_0101_6 - 24810/15857*c_0101_3, c_0101_3^2 - 4642/15857*c_0101_6^7 - 3394/15857*c_0101_6^6 - 9328/15857*c_0101_6^5 - 45132/15857*c_0101_6^4 + 8419/15857*c_0101_6^3 - 38448/15857*c_0101_6^2 + 19966/15857*c_0101_6 - 3322/15857, c_0101_5 - 1228/15857*c_0101_6^7 - 160/15857*c_0101_6^6 - 664/15857*c_0101_6^5 - 9958/15857*c_0101_6^4 + 3088/15857*c_0101_6^3 + 6130/15857*c_0101_6^2 - 13103/15857*c_0101_6 - 7417/15857, c_0101_6^8 + c_0101_6^7 + 2*c_0101_6^6 + 9*c_0101_6^5 + 1/2*c_0101_6^4 + 3*c_0101_6^3 - 13/2*c_0101_6^2 - c_0101_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB