Magma V2.19-8 Tue Aug 20 2013 16:18:56 on localhost [Seed = 2429619705] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3100 geometric_solution 6.26342034 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 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 1 0 -1 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.161146671763 1.130642357334 0 2 4 3 0132 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524894493944 0.893574704636 5 4 1 0 0132 0132 3012 0132 0 0 0 0 0 0 0 0 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 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 0.524894493944 0.893574704636 6 5 1 5 0132 2310 0132 0321 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 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 0.463879168774 0.872460297640 6 2 6 1 2031 0132 0213 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 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 -1.189386313602 1.563220440646 2 3 6 3 0132 0321 0132 3201 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 -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 0.463879168774 0.872460297640 3 4 4 5 0132 0213 1302 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.294963578886 1.633487657443 ==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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1001_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_1001_5'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0101_0, c_0101_1, c_0101_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 456/71*c_1001_5^10 + 1/71*c_1001_5^8 + 5042/71*c_1001_5^6 - 3166/71*c_1001_5^4 - 11184/71*c_1001_5^2 + 9466/71, c_0011_0 - 1, c_0011_2 - c_1001_5, c_0011_3 + 6/71*c_1001_5^10 + 14/71*c_1001_5^8 - 57/71*c_1001_5^6 - 91/71*c_1001_5^4 + 121/71*c_1001_5^2 + 38/71, c_0101_0 + 9/71*c_1001_5^11 + 21/71*c_1001_5^9 - 50/71*c_1001_5^7 - 101/71*c_1001_5^5 + 4/71*c_1001_5^3 + 128/71*c_1001_5, c_0101_1 + 19/71*c_1001_5^11 - 3/71*c_1001_5^9 - 216/71*c_1001_5^7 + 126/71*c_1001_5^5 + 466/71*c_1001_5^3 - 282/71*c_1001_5, c_0101_2 - 5/71*c_1001_5^10 + 12/71*c_1001_5^8 + 83/71*c_1001_5^6 - 78/71*c_1001_5^4 - 160/71*c_1001_5^2 + 63/71, c_1001_5^12 - 11*c_1001_5^8 + 7*c_1001_5^6 + 24*c_1001_5^4 - 21*c_1001_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB