Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 3886447402] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0363 geometric_solution 4.40770663 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 0 0 0 1 0 -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 1 -1 -1 0 1 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401435790011 0.543004472030 0 3 1 1 0132 0132 1230 3012 0 0 0 0 0 0 0 0 -1 0 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 1 -1 0 1 0 -2 1 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203909511677 0.480561728086 0 0 4 4 2310 0132 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.343818785351 1.928397518120 5 1 0 5 0132 0132 0132 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 -1 1 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 0.401435790011 0.543004472030 6 2 2 6 0132 3201 0132 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 -0.224762472114 0.144413351838 3 3 6 6 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.343818785351 1.928397518120 4 4 5 5 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.149107639004 2.023350184618 ==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' : d['c_0101_5'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(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_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, 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: 10 Groebner basis: [ t - 131155/3637*c_0101_6^9 - 662812/3637*c_0101_6^8 + 3487873/3637*c_0101_6^7 - 2654708/3637*c_0101_6^6 - 4377495/3637*c_0101_6^5 + 5135606/3637*c_0101_6^4 + 1442631/3637*c_0101_6^3 - 1821857/3637*c_0101_6^2 + 151826/3637*c_0101_6 + 212547/3637, c_0011_0 - 1, c_0011_4 - c_0101_6, c_0101_0 + 5127/3637*c_0101_6^9 + 24818/3637*c_0101_6^8 - 140765/3637*c_0101_6^7 + 137656/3637*c_0101_6^6 + 116869/3637*c_0101_6^5 - 192767/3637*c_0101_6^4 - 10595/3637*c_0101_6^3 + 46193/3637*c_0101_6^2 - 13436/3637*c_0101_6 - 194/3637, c_0101_1 + 1685/3637*c_0101_6^9 + 6781/3637*c_0101_6^8 - 52506/3637*c_0101_6^7 + 85055/3637*c_0101_6^6 - 10033/3637*c_0101_6^5 - 86294/3637*c_0101_6^4 + 66458/3637*c_0101_6^3 - 2817/3637*c_0101_6^2 - 22981/3637*c_0101_6 + 9105/3637, c_0101_2 - 1303/3637*c_0101_6^9 - 6174/3637*c_0101_6^8 + 36018/3637*c_0101_6^7 - 41015/3637*c_0101_6^6 - 17230/3637*c_0101_6^5 + 52256/3637*c_0101_6^4 - 19550/3637*c_0101_6^3 - 8329/3637*c_0101_6^2 + 13888/3637*c_0101_6 - 382/3637, c_0101_5 - 1303/3637*c_0101_6^9 - 6174/3637*c_0101_6^8 + 36018/3637*c_0101_6^7 - 41015/3637*c_0101_6^6 - 17230/3637*c_0101_6^5 + 52256/3637*c_0101_6^4 - 19550/3637*c_0101_6^3 - 8329/3637*c_0101_6^2 + 13888/3637*c_0101_6 - 382/3637, c_0101_6^10 + 5*c_0101_6^9 - 27*c_0101_6^8 + 21*c_0101_6^7 + 36*c_0101_6^6 - 44*c_0101_6^5 - 14*c_0101_6^4 + 22*c_0101_6^3 - 2*c_0101_6^2 - 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB