Magma V2.19-8 Tue Aug 20 2013 16:17:43 on localhost [Seed = 3751691059] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1961 geometric_solution 5.54086268 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 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 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 -0.649930298889 0.466076810771 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 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 0.501500877763 1.480768397668 4 5 1 3 0132 0132 0132 3012 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 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807493169252 0.787807103171 5 4 2 1 3201 3201 1230 0132 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 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 0.807493169252 0.787807103171 2 6 3 6 0132 0132 2310 1023 0 0 0 0 0 -1 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 0 1 0 -1 1 0 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 0.843524976176 1.016262016898 5 2 5 3 2031 0132 1302 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 0.583785916042 0.385667133747 6 4 6 4 2031 0132 1302 1023 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 -1 0 1 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 0.496042393317 0.185061604431 ==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_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_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0011_2'], '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_0101_0'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], '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_0110_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0110_6'], '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' : negation(d['c_0101_1'])})} 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_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 4*c_0101_1*c_0101_4^2 - 2*c_0101_1*c_0101_4 - 21/2*c_0101_1, c_0011_0 - 1, c_0011_2 + c_0101_1, c_0101_0 + c_0101_1*c_0101_4 - c_0101_1, c_0101_1^2 - 2*c_0101_4^2 - c_0101_4, c_0101_3 + 2*c_0101_4^2 - c_0101_4 - 1, c_0101_4^3 - 3/2*c_0101_4^2 - c_0101_4 + 1/2, c_0110_6 + 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_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 519896/26737*c_0101_1*c_0110_6^7 - 711326/26737*c_0101_1*c_0110_6^6 - 1087771/26737*c_0101_1*c_0110_6^5 + 4250235/26737*c_0101_1*c_0110_6^4 - 16485018/26737*c_0101_1*c_0110_6^3 + 6189294/26737*c_0101_1*c_0110_6^2 + 7463818/26737*c_0101_1*c_0110_6 - 1228172/26737*c_0101_1, c_0011_0 - 1, c_0011_2 + 12633/26737*c_0101_1*c_0110_6^7 - 16266/26737*c_0101_1*c_0110_6^6 - 22545/26737*c_0101_1*c_0110_6^5 + 96645/26737*c_0101_1*c_0110_6^4 - 399820/26737*c_0101_1*c_0110_6^3 + 155419/26737*c_0101_1*c_0110_6^2 + 43533/26737*c_0101_1*c_0110_6 + 808/26737*c_0101_1, c_0101_0 + 5802/26737*c_0101_1*c_0110_6^7 - 8315/26737*c_0101_1*c_0110_6^6 - 8640/26737*c_0101_1*c_0110_6^5 + 45523/26737*c_0101_1*c_0110_6^4 - 195011/26737*c_0101_1*c_0110_6^3 + 97666/26737*c_0101_1*c_0110_6^2 - 10534/26737*c_0101_1*c_0110_6 - 13299/26737*c_0101_1, c_0101_1^2 - 1130/26737*c_0110_6^7 + 1601/26737*c_0110_6^6 + 715/26737*c_0110_6^5 - 7032/26737*c_0110_6^4 + 44902/26737*c_0110_6^3 - 33860/26737*c_0110_6^2 + 6411/26737*c_0110_6 - 15935/26737, c_0101_3 - 1474/26737*c_0110_6^7 + 5117/26737*c_0110_6^6 - 487/26737*c_0110_6^5 - 16413/26737*c_0110_6^4 + 71017/26737*c_0110_6^3 - 119410/26737*c_0110_6^2 + 13994/26737*c_0110_6 + 1692/26737, c_0101_4 - 5802/26737*c_0110_6^7 + 8315/26737*c_0110_6^6 + 8640/26737*c_0110_6^5 - 45523/26737*c_0110_6^4 + 195011/26737*c_0110_6^3 - 97666/26737*c_0110_6^2 + 10534/26737*c_0110_6 - 13438/26737, c_0110_6^8 - 2*c_0110_6^7 - c_0110_6^6 + 9*c_0110_6^5 - 37*c_0110_6^4 + 34*c_0110_6^3 - 2*c_0110_6^2 - 2*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB