Magma V2.19-8 Tue Aug 20 2013 16:17:04 on localhost [Seed = 2395935324] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1326 geometric_solution 5.21030321 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994352128602 0.503635508459 0 3 5 5 0132 3201 1230 0132 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 0 0 0 0 0 0 0 0.455945222631 0.175716648468 3 0 2 2 1230 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.787291527600 0.813631812782 5 2 1 0 0132 3012 2310 0132 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 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 1.120373118034 0.713286951242 6 5 0 6 0132 2103 0132 1023 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 -1 1 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988972152155 0.511887890326 3 4 1 1 0132 2103 0132 3012 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 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 0 0 0 0.816910493169 1.251923712582 4 6 6 4 0132 1230 3012 1023 0 0 0 0 0 -1 1 0 0 0 1 -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 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.575448050592 0.358660652961 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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' : 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' : d['c_0011_0'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_3']), 'c_0011_4' : negation(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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3057/5566*c_0101_6^11 - 12368/2783*c_0101_6^10 - 18151/2783*c_0101_6^9 + 84147/5566*c_0101_6^8 + 221343/5566*c_0101_6^7 + 2817/506*c_0101_6^6 - 258587/5566*c_0101_6^5 - 131236/2783*c_0101_6^4 - 145303/5566*c_0101_6^3 + 23304/2783*c_0101_6^2 + 177613/5566*c_0101_6 + 82719/5566, c_0011_0 - 1, c_0011_3 + c_0101_6^3 - 2*c_0101_6, c_0101_0 + 10/23*c_0101_6^11 + 14/23*c_0101_6^10 - 63/23*c_0101_6^9 - 96/23*c_0101_6^8 + 93/23*c_0101_6^7 + 191/23*c_0101_6^6 + 79/23*c_0101_6^5 - 26/23*c_0101_6^4 - 175/23*c_0101_6^3 - 180/23*c_0101_6^2 - 34/23*c_0101_6 + 32/23, c_0101_1 + c_0101_6^2 - 1, c_0101_2 - 1/23*c_0101_6^11 - 6/23*c_0101_6^10 + 4/23*c_0101_6^9 + 28/23*c_0101_6^8 - 7/23*c_0101_6^7 - 26/23*c_0101_6^6 + 22/23*c_0101_6^5 - 25/23*c_0101_6^4 - 40/23*c_0101_6^3 + 18/23*c_0101_6^2 + 8/23*c_0101_6 + 6/23, c_0101_3 + 32/23*c_0101_6^11 + 54/23*c_0101_6^10 - 174/23*c_0101_6^9 - 321/23*c_0101_6^8 + 224/23*c_0101_6^7 + 556/23*c_0101_6^6 + 170/23*c_0101_6^5 - 74/23*c_0101_6^4 - 353/23*c_0101_6^3 - 392/23*c_0101_6^2 - 26/23*c_0101_6 + 84/23, c_0101_6^12 + 2*c_0101_6^11 - 5*c_0101_6^10 - 12*c_0101_6^9 + 4*c_0101_6^8 + 21*c_0101_6^7 + 12*c_0101_6^6 - 2*c_0101_6^5 - 14*c_0101_6^4 - 17*c_0101_6^3 - 5*c_0101_6^2 + 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB