Magma V2.19-8 Tue Aug 20 2013 16:18:33 on localhost [Seed = 4172899786] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2735 geometric_solution 5.97936209 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289670942086 1.391595376799 0 2 1 1 0132 1230 2031 1302 0 0 0 0 0 0 -1 1 0 0 -1 1 0 -1 0 1 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 1 -1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319912517169 0.389000385590 4 0 1 3 1230 0132 3012 1230 0 0 0 0 0 1 -1 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 1 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290986680012 0.570067793374 2 5 6 0 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475531016621 1.597420264144 5 2 0 6 0132 3012 0132 0132 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 -2 1 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 -0.458169679915 0.439463377963 4 3 6 6 0132 0132 1302 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 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 0.203886533593 0.632844144077 5 5 4 3 2031 1302 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 1 -1 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 0.203886533593 0.632844144077 ==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_1100_0'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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' : d['c_0011_3'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_0'], '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_1'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 618/11*c_1100_0^10 + 4033/33*c_1100_0^9 + 6790/11*c_1100_0^8 - 9237/11*c_1100_0^7 - 90248/33*c_1100_0^6 + 49330/33*c_1100_0^5 + 54872/11*c_1100_0^4 - 1960/33*c_1100_0^3 - 24817/11*c_1100_0^2 + 1489/11*c_1100_0 + 2582/33, c_0011_0 - 1, c_0011_3 - c_1100_0, c_0011_6 - 217/363*c_1100_0^10 + 607/363*c_1100_0^9 + 620/121*c_1100_0^8 - 3871/363*c_1100_0^7 - 2423/121*c_1100_0^6 + 6883/363*c_1100_0^5 + 12292/363*c_1100_0^4 - 868/363*c_1100_0^3 - 1402/121*c_1100_0^2 - 248/363*c_1100_0 + 425/363, c_0101_0 + 355/363*c_1100_0^10 - 746/363*c_1100_0^9 - 1239/121*c_1100_0^8 + 4225/363*c_1100_0^7 + 15941/363*c_1100_0^6 - 2885/363*c_1100_0^5 - 26362/363*c_1100_0^4 - 12616/363*c_1100_0^3 + 1678/121*c_1100_0^2 + 4658/363*c_1100_0 + 953/363, c_0101_1 - 61/121*c_1100_0^10 + 571/363*c_1100_0^9 + 471/121*c_1100_0^8 - 1256/121*c_1100_0^7 - 5171/363*c_1100_0^6 + 7498/363*c_1100_0^5 + 3026/121*c_1100_0^4 - 3031/363*c_1100_0^3 - 1334/121*c_1100_0^2 - 87/121*c_1100_0 + 398/363, c_0101_3 - 353/363*c_1100_0^10 + 751/363*c_1100_0^9 + 1216/121*c_1100_0^8 - 4283/363*c_1100_0^7 - 15298/363*c_1100_0^6 + 2971/363*c_1100_0^5 + 24785/363*c_1100_0^4 + 12503/363*c_1100_0^3 - 1432/121*c_1100_0^2 - 4915/363*c_1100_0 - 919/363, c_1100_0^11 - c_1100_0^10 - 13*c_1100_0^9 + c_1100_0^8 + 60*c_1100_0^7 + 37*c_1100_0^6 - 92*c_1100_0^5 - 110*c_1100_0^4 - 8*c_1100_0^3 + 32*c_1100_0^2 + 13*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB