Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 2985307475] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2062 geometric_solution 5.58355572 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 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 -1 1 0 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 0.421832007236 0.545085087190 3 0 5 4 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915697931180 0.863301484869 6 4 3 0 0132 2310 1023 0132 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 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 0.915697931180 0.863301484869 1 5 2 6 0132 2103 1023 3012 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 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 0.656886025718 0.276115326184 4 4 1 2 1230 3012 0132 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 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 1.326508586612 0.985927177824 6 3 6 1 3012 2103 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.293747622037 0.543813588162 2 5 3 5 0132 3201 1230 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 -0.293747622037 0.543813588162 ==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' : negation(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' : negation(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' : negation(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' : d['1'], 'c_1100_6' : d['c_0101_1'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_4']), '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_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5470/2207*c_0101_3^7 - 24288/2207*c_0101_3^6 + 38594/2207*c_0101_3^5 - 61978/2207*c_0101_3^4 - 8348/2207*c_0101_3^3 + 29265/2207*c_0101_3^2 - 73283/2207*c_0101_3 + 7722/2207, c_0011_0 - 1, c_0011_2 - 324/2207*c_0101_3^7 + 831/2207*c_0101_3^6 + 247/2207*c_0101_3^5 + 106/2207*c_0101_3^4 + 6875/2207*c_0101_3^3 + 175/2207*c_0101_3^2 + 2446/2207*c_0101_3 + 3700/2207, c_0011_4 - 575/2207*c_0101_3^7 + 2190/2207*c_0101_3^6 - 2552/2207*c_0101_3^5 + 4534/2207*c_0101_3^4 + 3952/2207*c_0101_3^3 - 718/2207*c_0101_3^2 + 6725/2207*c_0101_3 + 3106/2207, c_0011_5 - 128/2207*c_0101_3^7 + 737/2207*c_0101_3^6 - 1401/2207*c_0101_3^5 + 1159/2207*c_0101_3^4 + 945/2207*c_0101_3^3 - 3146/2207*c_0101_3^2 + 3800/2207*c_0101_3 + 1271/2207, c_0101_0 + 1040/2207*c_0101_3^7 - 4057/2207*c_0101_3^6 + 5038/2207*c_0101_3^5 - 9141/2207*c_0101_3^4 - 5747/2207*c_0101_3^3 + 1836/2207*c_0101_3^2 - 11012/2207*c_0101_3 - 3430/2207, c_0101_1 - 128/2207*c_0101_3^7 + 737/2207*c_0101_3^6 - 1401/2207*c_0101_3^5 + 1159/2207*c_0101_3^4 + 945/2207*c_0101_3^3 - 3146/2207*c_0101_3^2 + 3800/2207*c_0101_3 + 1271/2207, c_0101_3^8 - 4*c_0101_3^7 + 5*c_0101_3^6 - 8*c_0101_3^5 - 7*c_0101_3^4 + 5*c_0101_3^3 - 11*c_0101_3^2 - 5*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB