Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 3583264953] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3135 geometric_solution 6.29476434 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 0 1 -1 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 1 -1 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 0.247366893623 0.741473689935 0 2 3 3 0132 2310 0213 0132 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 0.256684660291 1.070055058606 4 4 0 1 0132 1230 0132 3201 0 0 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 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 0.256684660291 1.070055058606 5 1 1 4 0132 0213 0132 3201 1 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 -1 1 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 0.437879107548 0.630357977374 2 3 2 5 0132 2310 3012 0321 0 0 0 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788022434863 0.883682202237 3 4 6 6 0132 0321 3201 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 -1 1 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 0.542217213888 2.061812045471 5 6 5 6 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.587560189471 0.682099846463 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_3' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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_0']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : 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_0011_3, c_0011_6, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 120087139/10239195*c_0101_5^8 - 123678818/10239195*c_0101_5^7 - 436950832/3413065*c_0101_5^6 + 6290533489/10239195*c_0101_5^5 - 3529833321/3413065*c_0101_5^4 + 657955352/682613*c_0101_5^3 - 5552801171/10239195*c_0101_5^2 + 505330446/3413065*c_0101_5 - 51966506/10239195, c_0011_0 - 1, c_0011_2 - 340/971*c_0101_5^8 - 53/971*c_0101_5^7 + 3733/971*c_0101_5^6 - 13248/971*c_0101_5^5 + 13310/971*c_0101_5^4 - 10307/971*c_0101_5^3 + 5391/971*c_0101_5^2 - 1253/971*c_0101_5 + 771/971, c_0011_3 - 7711/35927*c_0101_5^8 - 8990/35927*c_0101_5^7 + 87481/35927*c_0101_5^6 - 207218/35927*c_0101_5^5 - 43556/35927*c_0101_5^4 + 150151/35927*c_0101_5^3 - 11422/35927*c_0101_5^2 - 11302/35927*c_0101_5 + 26479/35927, c_0011_6 + 5068/35927*c_0101_5^8 - 8246/35927*c_0101_5^7 - 54547/35927*c_0101_5^6 + 301016/35927*c_0101_5^5 - 580343/35927*c_0101_5^4 + 555469/35927*c_0101_5^3 - 264939/35927*c_0101_5^2 + 41170/35927*c_0101_5 - 13126/35927, c_0101_0 - 4869/35927*c_0101_5^8 + 7029/35927*c_0101_5^7 + 50640/35927*c_0101_5^6 - 282958/35927*c_0101_5^5 + 536026/35927*c_0101_5^4 - 531510/35927*c_0101_5^3 + 210889/35927*c_0101_5^2 - 35059/35927*c_0101_5 + 2048/35927, c_0101_4 + 1, c_0101_5^9 - c_0101_5^8 - 11*c_0101_5^7 + 52*c_0101_5^6 - 86*c_0101_5^5 + 78*c_0101_5^4 - 44*c_0101_5^3 + 13*c_0101_5^2 - 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB