Magma V2.19-8 Tue Aug 20 2013 16:19:27 on localhost [Seed = 3499183596] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3550 geometric_solution 7.01246572 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 1 0132 1230 0132 2031 0 0 1 0 0 -1 -1 2 1 0 -1 0 -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 -1 0 1 1 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 0.538334291164 0.968350939189 0 0 0 3 0132 1302 3012 0132 0 0 0 1 0 0 -1 1 -1 0 1 0 1 -2 0 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 -1 0 1 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 0.561441085499 0.788875878272 4 5 6 0 0132 0132 0132 0132 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 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 0.401155853987 0.841430586103 4 6 1 5 1230 3012 0132 2103 0 0 0 0 0 1 -1 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 0.561441085499 0.788875878272 2 3 4 4 0132 3012 1230 3012 0 0 0 0 0 -1 1 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 -1 1 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 0.401155853987 0.841430586103 5 2 5 3 2310 0132 3201 2103 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 0.130896119020 1.103382652958 3 6 6 2 1230 3201 2310 0132 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 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 0.561441085499 0.788875878272 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), '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' : d['c_0011_6'], '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' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0011_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_3, c_0011_6, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1102/487*c_0101_6^6 - 896/487*c_0101_6^5 - 13692/487*c_0101_6^4 - 5405/487*c_0101_6^3 + 1134/487*c_0101_6^2 - 7085/487*c_0101_6 + 628/487, c_0011_0 - 1, c_0011_2 + 230/487*c_0101_6^6 - 149/487*c_0101_6^5 - 2840/487*c_0101_6^4 - 1669/487*c_0101_6^3 - 443/487*c_0101_6^2 - 1157/487*c_0101_6 - 363/487, c_0011_3 - 68/487*c_0101_6^6 - 11/487*c_0101_6^5 + 882/487*c_0101_6^4 + 1243/487*c_0101_6^3 + 402/487*c_0101_6^2 - 56/487*c_0101_6 + 336/487, c_0011_6 - 160/487*c_0101_6^6 + 146/487*c_0101_6^5 + 2018/487*c_0101_6^4 + 547/487*c_0101_6^3 - 687/487*c_0101_6^2 + 699/487*c_0101_6 - 298/487, c_0101_0 - 1, c_0101_5 + 160/487*c_0101_6^6 - 146/487*c_0101_6^5 - 2018/487*c_0101_6^4 - 547/487*c_0101_6^3 + 687/487*c_0101_6^2 - 699/487*c_0101_6 - 189/487, c_0101_6^7 - c_0101_6^6 - 12*c_0101_6^5 - 3*c_0101_6^4 - c_0101_6^3 - 6*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB