Magma V2.19-8 Tue Aug 20 2013 16:18:09 on localhost [Seed = 2017060161] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2370 geometric_solution 5.73841907 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.507439930446 0.943642524320 0 0 3 2 2310 0132 0132 0132 0 0 0 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 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 0.138142575851 0.284396383540 3 4 1 5 1230 0132 0132 0132 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 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 0.265009028913 1.090471261254 4 2 6 1 2310 3012 0132 0132 0 0 0 0 0 -1 0 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 -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 0.265009028913 1.090471261254 5 2 3 6 3012 0132 3201 3012 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 -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 -0.303182751706 0.874341692005 6 6 2 4 1023 3012 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.730607902555 0.973245326912 5 5 4 3 1230 1023 1230 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 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 0.730607902555 0.973245326912 ==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' : negation(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' : negation(d['1']), 's_2_6' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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' : d['c_0110_4'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], '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' : 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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0101_1']), '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_3, c_0011_5, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 97/5*c_0110_4^10 + 309/5*c_0110_4^9 + 33/5*c_0110_4^8 - 618/5*c_0110_4^7 + 56/5*c_0110_4^6 + 311*c_0110_4^5 + 1453/5*c_0110_4^4 + 746/5*c_0110_4^3 + 493/5*c_0110_4^2 - 154/5*c_0110_4 - 66/5, c_0011_0 - 1, c_0011_2 - 196/625*c_0110_4^10 - 787/625*c_0110_4^9 - 329/625*c_0110_4^8 + 1729/625*c_0110_4^7 + 627/625*c_0110_4^6 - 166/25*c_0110_4^5 - 4759/625*c_0110_4^4 - 1303/625*c_0110_4^3 - 89/625*c_0110_4^2 + 552/625*c_0110_4 + 528/625, c_0011_3 + 196/625*c_0110_4^10 + 787/625*c_0110_4^9 + 329/625*c_0110_4^8 - 1729/625*c_0110_4^7 - 627/625*c_0110_4^6 + 166/25*c_0110_4^5 + 4759/625*c_0110_4^4 + 1303/625*c_0110_4^3 + 89/625*c_0110_4^2 - 552/625*c_0110_4 - 528/625, c_0011_5 - 109/625*c_0110_4^10 - 173/625*c_0110_4^9 + 509/625*c_0110_4^8 + 716/625*c_0110_4^7 - 1217/625*c_0110_4^6 - 64/25*c_0110_4^5 + 1164/625*c_0110_4^4 + 1938/625*c_0110_4^3 + 719/625*c_0110_4^2 + 358/625*c_0110_4 - 38/625, c_0101_0 + 266/625*c_0110_4^10 + 577/625*c_0110_4^9 - 491/625*c_0110_4^8 - 1409/625*c_0110_4^7 + 1158/625*c_0110_4^6 + 136/25*c_0110_4^5 + 1414/625*c_0110_4^4 - 62/625*c_0110_4^3 - 906/625*c_0110_4^2 - 1017/625*c_0110_4 + 87/625, c_0101_1 + 221/625*c_0110_4^10 + 712/625*c_0110_4^9 + 304/625*c_0110_4^8 - 1079/625*c_0110_4^7 - 302/625*c_0110_4^6 + 116/25*c_0110_4^5 + 4234/625*c_0110_4^4 + 3628/625*c_0110_4^3 + 2189/625*c_0110_4^2 + 398/625*c_0110_4 - 353/625, c_0110_4^11 + 4*c_0110_4^10 + 3*c_0110_4^9 - 6*c_0110_4^8 - 5*c_0110_4^7 + 16*c_0110_4^6 + 29*c_0110_4^5 + 21*c_0110_4^4 + 10*c_0110_4^3 + c_0110_4^2 - 2*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB