Magma V2.19-8 Tue Aug 20 2013 16:19:18 on localhost [Seed = 2480017053] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3423 geometric_solution 6.59122061 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 1230 0 0 0 0 0 0 0 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 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 0.620986422222 0.738252934617 0 4 4 5 0132 0132 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556186154773 0.605268726416 6 0 6 5 0132 0132 1023 0321 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385563797688 1.123774345640 0 6 5 0 3012 2103 1302 0132 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 1 0 -1 1 0 -1 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 0.550356919947 1.072000147384 5 1 6 1 3012 0132 1230 1302 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 0.751543352705 0.268198667923 3 2 1 4 2031 0321 0132 1230 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 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303935218280 1.018808122520 2 3 2 4 0132 2103 1023 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385563797688 1.123774345640 ==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_1001_4']), 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_1001_4'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_5'])})} 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_4, c_0110_4, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/18*c_0110_4 - 1/18, c_0011_0 - 1, c_0011_3 - c_0110_4, c_0011_5 + c_0110_4 + 1, c_0101_0 - 1, c_0101_4 - 1, c_0110_4^2 + c_0110_4 + 3, c_1001_4 + 2 ], 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_4, c_0110_4, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 7/531*c_1001_4^6 + 10/531*c_1001_4^5 - 92/531*c_1001_4^4 + 52/531*c_1001_4^3 + 722/531*c_1001_4^2 - 1/531*c_1001_4 - 190/177, c_0011_0 - 1, c_0011_3 + 127/177*c_1001_4^6 + 527/177*c_1001_4^5 + 25/177*c_1001_4^4 - 1012/177*c_1001_4^3 - 277/177*c_1001_4^2 + 1381/177*c_1001_4 + 371/59, c_0011_5 + 127/177*c_1001_4^6 + 527/177*c_1001_4^5 + 25/177*c_1001_4^4 - 1012/177*c_1001_4^3 - 277/177*c_1001_4^2 + 1381/177*c_1001_4 + 371/59, c_0101_0 + 18/59*c_1001_4^6 + 51/59*c_1001_4^5 - 68/59*c_1001_4^4 - 77/59*c_1001_4^3 + 36/59*c_1001_4^2 + 107/59*c_1001_4 - 16/59, c_0101_4 + 25/177*c_1001_4^6 + 179/177*c_1001_4^5 + 253/177*c_1001_4^4 - 379/177*c_1001_4^3 - 481/177*c_1001_4^2 + 460/177*c_1001_4 + 257/59, c_0110_4 + 20/59*c_1001_4^6 + 96/59*c_1001_4^5 + 49/59*c_1001_4^4 - 197/59*c_1001_4^3 - 137/59*c_1001_4^2 + 250/59*c_1001_4 + 251/59, c_1001_4^7 + 5*c_1001_4^6 + 4*c_1001_4^5 - 7*c_1001_4^4 - 10*c_1001_4^3 + 7*c_1001_4^2 + 18*c_1001_4 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB