Magma V2.19-8 Tue Aug 20 2013 16:17:25 on localhost [Seed = 1579139735] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1652 geometric_solution 5.39249099 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 -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 0.294945460162 0.472329128544 0 1 0 1 0132 2310 2310 3201 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 -1.171957191185 0.649858110575 4 5 3 0 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 1 0 -1 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663643201252 0.666402098900 5 4 0 2 2310 2310 0132 1302 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 -2 1 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 0.663643201252 0.666402098900 2 6 6 3 0132 0132 1023 3201 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 -1 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433195569842 0.538247047396 5 2 3 5 3012 0132 3201 1230 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 -1 0 1 -1 0 0 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 1.249708699641 0.753410411502 6 4 4 6 3012 0132 1023 1230 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 1.782257772753 0.720689525931 ==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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], '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_1'], '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' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 807360/23323*c_0101_1*c_0101_6^9 + 448439/23323*c_0101_1*c_0101_6^8 - 13870014/23323*c_0101_1*c_0101_6^7 + 9429743/23323*c_0101_1*c_0101_6^6 + 25553860/23323*c_0101_1*c_0101_6^5 - 10000966/23323*c_0101_1*c_0101_6^4 - 13973711/23323*c_0101_1*c_0101_6^3 + 6726199/23323*c_0101_1*c_0101_6^2 + 5539291/23323*c_0101_1*c_0101_6 - 811658/23323*c_0101_1, c_0011_0 - 1, c_0011_2 - 155089/23323*c_0101_1*c_0101_6^9 - 61025/23323*c_0101_1*c_0101_6^8 + 2670259/23323*c_0101_1*c_0101_6^7 - 2242102/23323*c_0101_1*c_0101_6^6 - 4477878/23323*c_0101_1*c_0101_6^5 + 2527754/23323*c_0101_1*c_0101_6^4 + 2238101/23323*c_0101_1*c_0101_6^3 - 1475567/23323*c_0101_1*c_0101_6^2 - 902136/23323*c_0101_1*c_0101_6 + 228497/23323*c_0101_1, c_0101_0 + 128430/23323*c_0101_1*c_0101_6^9 + 49942/23323*c_0101_1*c_0101_6^8 - 2214975/23323*c_0101_1*c_0101_6^7 + 1866327/23323*c_0101_1*c_0101_6^6 + 3757891/23323*c_0101_1*c_0101_6^5 - 2175742/23323*c_0101_1*c_0101_6^4 - 1901722/23323*c_0101_1*c_0101_6^3 + 1279055/23323*c_0101_1*c_0101_6^2 + 754426/23323*c_0101_1*c_0101_6 - 191666/23323*c_0101_1, c_0101_1^2 + 12894/23323*c_0101_6^9 - 3012/23323*c_0101_6^8 - 220236/23323*c_0101_6^7 + 320784/23323*c_0101_6^6 + 172623/23323*c_0101_6^5 - 259853/23323*c_0101_6^4 - 98713/23323*c_0101_6^3 + 131497/23323*c_0101_6^2 + 26516/23323*c_0101_6 - 30397/23323, c_0101_2 + 13111/23323*c_0101_6^9 + 8105/23323*c_0101_6^8 - 225158/23323*c_0101_6^7 + 141270/23323*c_0101_6^6 + 429916/23323*c_0101_6^5 - 183558/23323*c_0101_6^4 - 182334/23323*c_0101_6^3 + 119111/23323*c_0101_6^2 + 83763/23323*c_0101_6 - 12511/23323, c_0101_5 + 26659/23323*c_0101_6^9 + 11083/23323*c_0101_6^8 - 455284/23323*c_0101_6^7 + 375775/23323*c_0101_6^6 + 719987/23323*c_0101_6^5 - 352012/23323*c_0101_6^4 - 336379/23323*c_0101_6^3 + 196512/23323*c_0101_6^2 + 147710/23323*c_0101_6 - 13508/23323, c_0101_6^10 + c_0101_6^9 - 17*c_0101_6^8 + 4*c_0101_6^7 + 38*c_0101_6^6 + c_0101_6^5 - 25*c_0101_6^4 + c_0101_6^3 + 12*c_0101_6^2 + 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB