Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 2564359240] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1413 geometric_solution 5.25138604 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.537567556093 0.294685228524 2 0 3 0 0132 2310 0132 0132 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 -1 1 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 1.032040120046 0.489431082176 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 -1 1 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 1 -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 0.953695420300 0.781732410961 5 2 4 1 0132 1230 1023 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 1 -1 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 0.953695420300 0.781732410961 4 2 3 4 3201 0132 1023 2310 0 0 0 0 0 1 0 -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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.171800051968 0.890342423932 3 6 2 6 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -1 -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 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.763194373998 0.305921749401 5 5 6 6 3201 0132 2031 1302 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 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 0.541040968410 0.411086965265 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), '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_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 18526959/155663*c_0110_6^6 - 57070298/155663*c_0110_6^5 - 421541115/155663*c_0110_6^4 - 744221372/155663*c_0110_6^3 - 143738166/155663*c_0110_6^2 + 104650635/155663*c_0110_6 + 232634741/155663, c_0011_0 - 1, c_0011_1 + 19318/155663*c_0110_6^6 - 61272/155663*c_0110_6^5 - 437948/155663*c_0110_6^4 - 715491/155663*c_0110_6^3 - 30559/155663*c_0110_6^2 + 70300/155663*c_0110_6 + 90423/155663, c_0011_3 - 12737/155663*c_0101_3*c_0110_6^6 + 25282/155663*c_0101_3*c_0110_6^5 + 327609/155663*c_0101_3*c_0110_6^4 + 852347/155663*c_0101_3*c_0110_6^3 + 742324/155663*c_0101_3*c_0110_6^2 + 107104/155663*c_0101_3*c_0110_6 - 145186/155663*c_0101_3, c_0101_0 - 661/155663*c_0110_6^6 + 6335/155663*c_0110_6^5 + 10231/155663*c_0110_6^4 - 103889/155663*c_0110_6^3 - 342085/155663*c_0110_6^2 - 227979/155663*c_0110_6 + 88855/155663, c_0101_1 + 12929/155663*c_0110_6^6 - 34658/155663*c_0110_6^5 - 317393/155663*c_0110_6^4 - 602217/155663*c_0110_6^3 - 170789/155663*c_0110_6^2 + 135268/155663*c_0110_6 - 12737/155663, c_0101_3^2 + 1130/155663*c_0110_6^6 - 3294/155663*c_0110_6^5 - 30678/155663*c_0110_6^4 - 42352/155663*c_0110_6^3 - 43028/155663*c_0110_6^2 + 57923/155663*c_0110_6 - 19787/155663, c_0110_6^7 - 3*c_0110_6^6 - 23*c_0110_6^5 - 42*c_0110_6^4 - 11*c_0110_6^3 + 5*c_0110_6^2 + 13*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB