Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 1511769963] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2810 geometric_solution 6.03776793 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 1023 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 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 1.583727570498 1.587966394659 0 3 4 0 0132 0132 0132 1023 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 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 0.154465597700 0.589244352726 3 0 0 5 2310 0132 1023 0132 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 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 0.154465597700 0.589244352726 6 1 2 6 0132 0132 3201 1023 0 0 0 0 0 1 0 -1 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 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 0.364672620959 0.585985344100 5 5 5 1 1302 3012 0132 0132 0 0 0 1 0 0 0 0 1 0 0 -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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149701837118 1.085916696524 4 4 2 4 1230 2031 0132 0132 0 0 1 0 0 0 0 0 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 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 0.149701837118 1.085916696524 3 6 6 3 0132 3201 2310 1023 0 0 0 0 0 1 0 -1 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 1 -1 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.450407799980 0.647153005751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_1_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : negation(d['c_1100_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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_6' : negation(d['c_0011_0']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 445911/10615430*c_1100_0^7 - 2614641/10615430*c_1100_0^6 - 400927/10615430*c_1100_0^5 + 3538487/10615430*c_1100_0^4 + 41084123/10615430*c_1100_0^3 + 140014/151649*c_1100_0^2 - 2291935/303298*c_1100_0 - 23675886/5307715, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 - 73301/303298*c_1100_0^7 + 111783/151649*c_1100_0^6 + 577043/303298*c_1100_0^5 + 642567/151649*c_1100_0^4 - 930115/151649*c_1100_0^3 - 3755213/303298*c_1100_0^2 + 1467577/303298*c_1100_0 + 2380507/303298, c_0101_1 + 8055/303298*c_1100_0^7 - 6642/151649*c_1100_0^6 - 114615/303298*c_1100_0^5 - 88391/151649*c_1100_0^4 + 54322/151649*c_1100_0^3 + 1050775/303298*c_1100_0^2 - 98349/303298*c_1100_0 - 1015619/303298, c_0101_3 + 8055/303298*c_1100_0^7 - 6642/151649*c_1100_0^6 - 114615/303298*c_1100_0^5 - 88391/151649*c_1100_0^4 + 54322/151649*c_1100_0^3 + 1050775/303298*c_1100_0^2 + 204949/303298*c_1100_0 - 1015619/303298, c_0101_6 + 17337/303298*c_1100_0^7 - 13618/151649*c_1100_0^6 - 212801/303298*c_1100_0^5 - 249494/151649*c_1100_0^4 - 25524/151649*c_1100_0^3 + 1360755/303298*c_1100_0^2 + 669071/303298*c_1100_0 - 947111/303298, c_1100_0^8 - 2*c_1100_0^7 - 11*c_1100_0^6 - 26*c_1100_0^5 + 6*c_1100_0^4 + 77*c_1100_0^3 + 35*c_1100_0^2 - 47*c_1100_0 - 28 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB