Magma V2.19-8 Tue Aug 20 2013 16:15:52 on localhost [Seed = 3035965585] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0085 geometric_solution 3.62786143 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 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 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.237718408889 0.966055942799 0 4 3 4 0132 0132 3012 1023 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 -1 0 1 0 0 -1 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.972604572645 1.976992172568 5 0 5 0 0132 0132 1023 1023 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 0.710770929271 0.125216212618 4 1 4 0 2310 1230 3201 0132 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 1 -2 1 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 1.972604572645 1.976992172568 3 1 3 1 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 -1 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007007849958 0.505721788295 2 6 2 6 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850364513287 0.040309825790 5 5 6 6 3201 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677576214140 0.034378302799 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_0101_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_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_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 1965593/48*c_0101_3*c_0110_6^10 + 32477363/192*c_0101_3*c_0110_6^9 - 26941103/192*c_0101_3*c_0110_6^8 - 147823135/192*c_0101_3*c_0110_6^7 + 140272411/192*c_0101_3*c_0110_6^6 + 102324841/96*c_0101_3*c_0110_6^5 - 18728429/16*c_0101_3*c_0110_6^4 - 21077879/96*c_0101_3*c_0110_6^3 + 3550219/6*c_0101_3*c_0110_6^2 - 10825043/48*c_0101_3*c_0110_6 + 5180639/192*c_0101_3, c_0011_0 - 1, c_0011_3 + 592*c_0110_6^10 + 2360*c_0110_6^9 - 2407*c_0110_6^8 - 10951*c_0110_6^7 + 12225*c_0110_6^6 + 14386*c_0110_6^5 - 19467*c_0110_6^4 - 1495*c_0110_6^3 + 9537*c_0110_6^2 - 4203*c_0110_6 + 570, c_0101_1 - 2714*c_0101_3*c_0110_6^10 - 22427/2*c_0101_3*c_0110_6^9 + 9295*c_0101_3*c_0110_6^8 + 102137/2*c_0101_3*c_0110_6^7 - 48362*c_0101_3*c_0110_6^6 - 141625/2*c_0101_3*c_0110_6^5 + 155005/2*c_0101_3*c_0110_6^4 + 14827*c_0101_3*c_0110_6^3 - 78397/2*c_0101_3*c_0110_6^2 + 14821*c_0101_3*c_0110_6 - 3513/2*c_0101_3, c_0101_2 + 3110*c_0101_3*c_0110_6^10 + 25741/2*c_0101_3*c_0110_6^9 - 10548*c_0101_3*c_0110_6^8 - 58509*c_0101_3*c_0110_6^7 + 110043/2*c_0101_3*c_0110_6^6 + 81185*c_0101_3*c_0110_6^5 - 176363/2*c_0101_3*c_0110_6^4 - 17061*c_0101_3*c_0110_6^3 + 44655*c_0101_3*c_0110_6^2 - 33801/2*c_0101_3*c_0110_6 + 2010*c_0101_3, c_0101_3^2 - 9344*c_0110_6^10 - 38096*c_0110_6^9 + 34260*c_0110_6^8 + 174722*c_0110_6^7 - 176458*c_0110_6^6 - 237573*c_0110_6^5 + 282049*c_0110_6^4 + 40835*c_0110_6^3 - 140824*c_0110_6^2 + 56736*c_0110_6 - 7141, c_0101_5 - 4*c_0110_6^10 - 15*c_0110_6^9 + 20*c_0110_6^8 + 70*c_0110_6^7 - 100*c_0110_6^6 - 77*c_0110_6^5 + 154*c_0110_6^4 - 22*c_0110_6^3 - 66*c_0110_6^2 + 45*c_0110_6 - 10, c_0110_6^11 + 15/4*c_0110_6^10 - 5*c_0110_6^9 - 35/2*c_0110_6^8 + 25*c_0110_6^7 + 77/4*c_0110_6^6 - 77/2*c_0110_6^5 + 11/2*c_0110_6^4 + 33/2*c_0110_6^3 - 11*c_0110_6^2 + 11/4*c_0110_6 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB