Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 4273955523] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s024 geometric_solution 3.55639025 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 3120 0132 0 0 0 0 0 -1 0 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 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 0.967262573906 1.899683083537 0 2 4 3 0132 2031 0132 0213 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221916360288 0.108219376076 1 0 0 3 1302 0132 3120 1230 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.009068871801 0.526247307850 2 4 0 1 3012 2031 0132 0213 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 -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 0.180110062393 1.481655151764 3 5 5 1 1302 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.007403086732 1.242081848717 5 4 4 5 3012 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.197902525985 0.202703529363 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), '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' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 299/37*c_0101_5^8 + 2025/37*c_0101_5^7 - 1555/37*c_0101_5^6 - 8734/37*c_0101_5^5 + 6329/37*c_0101_5^4 + 11414/37*c_0101_5^3 - 4234/37*c_0101_5^2 - 4336/37*c_0101_5 - 757/37, c_0011_0 - 1, c_0011_3 - 23/37*c_0101_5^8 + 207/37*c_0101_5^7 - 538/37*c_0101_5^6 + 182/37*c_0101_5^5 + 780/37*c_0101_5^4 - 676/37*c_0101_5^3 + 13/37*c_0101_5^2 + 119/37*c_0101_5 - 44/37, c_0011_4 - 56/37*c_0101_5^8 + 430/37*c_0101_5^7 - 697/37*c_0101_5^6 - 876/37*c_0101_5^5 + 1727/37*c_0101_5^4 + 521/37*c_0101_5^3 - 977/37*c_0101_5^2 - 106/37*c_0101_5 + 102/37, c_0101_0 + 38/37*c_0101_5^8 - 305/37*c_0101_5^7 + 580/37*c_0101_5^6 + 383/37*c_0101_5^5 - 1271/37*c_0101_5^4 + 31/37*c_0101_5^3 + 659/37*c_0101_5^2 - 10/37*c_0101_5 - 93/37, c_0101_1 - 25/37*c_0101_5^8 + 188/37*c_0101_5^7 - 292/37*c_0101_5^6 - 362/37*c_0101_5^5 + 621/37*c_0101_5^4 + 150/37*c_0101_5^3 - 232/37*c_0101_5^2 - 9/37*c_0101_5 - 6/37, c_0101_5^9 - 7*c_0101_5^8 + 7*c_0101_5^7 + 26*c_0101_5^6 - 24*c_0101_5^5 - 32*c_0101_5^4 + 18*c_0101_5^3 + 13*c_0101_5^2 - 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB