Magma V2.19-8 Tue Aug 20 2013 16:17:52 on localhost [Seed = 2244221304] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2106 geometric_solution 5.60428277 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 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 -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 -1.068325757641 0.629829482462 0 0 3 2 0132 2310 0132 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314794942388 0.568906805992 4 5 1 3 0132 0132 0132 1302 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603533301567 0.522961840465 5 4 2 1 3201 2310 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603533301567 0.522961840465 2 4 4 3 0132 1230 3012 3201 0 0 0 0 0 -1 1 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.053639647666 0.820021613247 6 2 6 3 0132 0132 2310 2310 0 0 0 0 0 0 -1 1 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 1.116356860204 1.479793498916 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277804285953 0.309549906504 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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_0101_5'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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_2']), 'c_0011_6' : 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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), '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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 185982/43525*c_0101_5^8 - 780297/8705*c_0101_5^6 - 1199552/43525*c_0101_5^4 - 6600552/43525*c_0101_5^2 + 6685077/43525, c_0011_0 - 1, c_0011_2 + 1689/43525*c_0101_5^9 - 7374/8705*c_0101_5^7 + 18671/43525*c_0101_5^5 - 39504/43525*c_0101_5^3 + 114279/43525*c_0101_5, c_0101_0 + 7256/43525*c_0101_5^9 - 30241/8705*c_0101_5^7 - 68016/43525*c_0101_5^5 - 263641/43525*c_0101_5^3 + 208691/43525*c_0101_5, c_0101_1 - 3772/43525*c_0101_5^9 + 15927/8705*c_0101_5^7 + 14867/43525*c_0101_5^5 + 103917/43525*c_0101_5^3 - 140567/43525*c_0101_5, c_0101_3 + 653/43525*c_0101_5^8 - 2418/8705*c_0101_5^6 - 38033/43525*c_0101_5^4 - 36533/43525*c_0101_5^2 - 12717/43525, c_0101_4 + 259/43525*c_0101_5^8 - 1239/8705*c_0101_5^6 + 14176/43525*c_0101_5^4 - 11624/43525*c_0101_5^2 + 31749/43525, c_0101_5^10 - 21*c_0101_5^8 - 6*c_0101_5^6 - 35*c_0101_5^4 + 37*c_0101_5^2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 502023/82759*c_0101_5^14 + 8924456/82759*c_0101_5^12 - 48752114/82759*c_0101_5^10 + 129843105/82759*c_0101_5^8 - 186237419/82759*c_0101_5^6 + 137943358/82759*c_0101_5^4 - 45062936/82759*c_0101_5^2 + 5254482/82759, c_0011_0 - 1, c_0011_2 - 17767/82759*c_0101_5^15 + 329316/82759*c_0101_5^13 - 1924072/82759*c_0101_5^11 + 5241935/82759*c_0101_5^9 - 7157200/82759*c_0101_5^7 + 4064900/82759*c_0101_5^5 - 81447/82759*c_0101_5^3 + 54796/82759*c_0101_5, c_0101_0 - 11726/82759*c_0101_5^15 + 194087/82759*c_0101_5^13 - 890552/82759*c_0101_5^11 + 1770247/82759*c_0101_5^9 - 1380115/82759*c_0101_5^7 - 300849/82759*c_0101_5^5 + 784242/82759*c_0101_5^3 - 65436/82759*c_0101_5, c_0101_1 + 17063/82759*c_0101_5^15 - 292665/82759*c_0101_5^13 + 1462866/82759*c_0101_5^11 - 3311074/82759*c_0101_5^9 + 3374719/82759*c_0101_5^7 - 709252/82759*c_0101_5^5 - 696730/82759*c_0101_5^3 - 7796/82759*c_0101_5, c_0101_3 + 4173/82759*c_0101_5^14 - 48794/82759*c_0101_5^12 - 3100/82759*c_0101_5^10 + 673145/82759*c_0101_5^8 - 1714075/82759*c_0101_5^6 + 1408363/82759*c_0101_5^4 + 14509/82759*c_0101_5^2 + 8240/82759, c_0101_4 + 21940/82759*c_0101_5^14 - 378110/82759*c_0101_5^12 + 1920972/82759*c_0101_5^10 - 4568790/82759*c_0101_5^8 + 5443125/82759*c_0101_5^6 - 2656537/82759*c_0101_5^4 + 95956/82759*c_0101_5^2 - 46556/82759, c_0101_5^16 - 18*c_0101_5^14 + 100*c_0101_5^12 - 263*c_0101_5^10 + 354*c_0101_5^8 - 213*c_0101_5^6 + 27*c_0101_5^4 - 2*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB