Magma V2.19-8 Tue Aug 20 2013 16:17:32 on localhost [Seed = 1932717999] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1766 geometric_solution 5.45092633 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1.293392495847 0.602929896858 0 4 5 0 0132 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 -0.094878323994 1.907671747960 4 0 6 5 0132 0132 0132 2031 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 -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 0.315741024697 0.376102165360 6 4 4 0 2310 2310 0321 0132 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 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 0.374919287515 1.183547842877 2 1 3 3 0132 0132 0321 3201 0 0 0 0 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 1 0 -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 0.348912496316 0.660642096484 6 2 6 1 0132 1302 0213 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 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 0.315741024697 0.376102165360 5 5 3 2 0132 0213 3201 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 -1 0 0 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 1.122355741958 0.616901553491 ==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_3']), 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1001_4'], 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_5, c_0101_0, c_0101_3, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 258318837/719*c_1001_4^6 - 11343773/719*c_1001_4^5 - 84824756/719*c_1001_4^4 + 280106345/719*c_1001_4^3 - 97567130/719*c_1001_4^2 - 25710420/719*c_1001_4 + 12744850/719, c_0011_0 - 1, c_0011_3 + 84427/719*c_1001_4^6 + 30702/719*c_1001_4^5 + 44816/719*c_1001_4^4 - 74030/719*c_1001_4^3 + 12026/719*c_1001_4^2 + 6373/719*c_1001_4 - 1458/719, c_0011_5 + 296793/719*c_1001_4^6 + 24115/719*c_1001_4^5 + 109631/719*c_1001_4^4 - 313720/719*c_1001_4^3 + 107122/719*c_1001_4^2 + 24051/719*c_1001_4 - 11702/719, c_0101_0 + 116914/719*c_1001_4^6 + 12908/719*c_1001_4^5 + 45960/719*c_1001_4^4 - 119741/719*c_1001_4^3 + 40691/719*c_1001_4^2 + 9074/719*c_1001_4 - 4986/719, c_0101_3 - 169491/719*c_1001_4^6 - 8554/719*c_1001_4^5 - 58963/719*c_1001_4^4 + 181988/719*c_1001_4^3 - 65301/719*c_1001_4^2 - 14674/719*c_1001_4 + 7130/719, c_1001_2 - 169491/719*c_1001_4^6 - 8554/719*c_1001_4^5 - 58963/719*c_1001_4^4 + 181988/719*c_1001_4^3 - 65301/719*c_1001_4^2 - 14674/719*c_1001_4 + 7130/719, c_1001_4^7 - 3/7*c_1001_4^6 + 16/49*c_1001_4^5 - 61/49*c_1001_4^4 + 44/49*c_1001_4^3 - 5/49*c_1001_4^2 - 4/49*c_1001_4 + 1/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB