Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 2084429984] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1791 geometric_solution 5.46570796 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 3201 1230 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 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 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.330671306199 0.120905586438 0 0 2 2 2310 0132 2310 0132 0 0 0 0 0 1 0 -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 0 0 0 0 1 -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 0 0 0 1.922181509792 0.907623838466 3 1 1 4 0132 3201 0132 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 0 0 0 0 0 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921964668462 0.444800241059 2 5 6 4 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505836534471 0.645833667201 6 3 2 5 2310 1302 0132 0132 0 0 0 0 0 0 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 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 0.505836534471 0.645833667201 5 3 4 5 3012 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505836534471 0.645833667201 6 6 4 3 1230 3012 3201 0132 0 0 0 0 0 -1 0 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 -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 0.248353956849 0.959674296743 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), '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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 786583*c_0101_5^20 - 20262931*c_0101_5^18 - 188462354*c_0101_5^16 + 143738292*c_0101_5^14 + 471163575*c_0101_5^12 - 357383285*c_0101_5^10 - 345000977*c_0101_5^8 + 355828911*c_0101_5^6 - 43178707*c_0101_5^4 - 17911979*c_0101_5^2 - 1034738, c_0011_0 - 1, c_0011_2 - 1110*c_0101_5^20 - 28717*c_0101_5^18 - 269214*c_0101_5^16 + 170710*c_0101_5^14 + 660226*c_0101_5^12 - 434680*c_0101_5^10 - 483747*c_0101_5^8 + 450785*c_0101_5^6 - 48885*c_0101_5^4 - 21758*c_0101_5^2 - 1270, c_0011_4 + 14010*c_0101_5^20 + 361722*c_0101_5^18 + 3378374*c_0101_5^16 - 2347815*c_0101_5^14 - 8372251*c_0101_5^12 + 5893029*c_0101_5^10 + 6139846*c_0101_5^8 - 5984126*c_0101_5^6 + 681369*c_0101_5^4 + 293857*c_0101_5^2 + 17070, c_0011_6 - 12900*c_0101_5^20 - 333005*c_0101_5^18 - 3109160*c_0101_5^16 + 2177105*c_0101_5^14 + 7712025*c_0101_5^12 - 5458349*c_0101_5^10 - 5656099*c_0101_5^8 + 5533341*c_0101_5^6 - 632484*c_0101_5^4 - 272099*c_0101_5^2 - 15800, c_0101_0 + 119041*c_0101_5^21 + 3069214*c_0101_5^19 + 28591712*c_0101_5^17 - 21067065*c_0101_5^15 - 71246717*c_0101_5^13 + 52553461*c_0101_5^11 + 52202176*c_0101_5^9 - 52700638*c_0101_5^7 + 6248463*c_0101_5^5 + 2627866*c_0101_5^3 + 152090*c_0101_5, c_0101_1 - 20*c_0101_5^20 - 519*c_0101_5^18 - 4893*c_0101_5^16 + 2653*c_0101_5^14 + 11734*c_0101_5^12 - 7045*c_0101_5^10 - 8574*c_0101_5^8 + 7570*c_0101_5^6 - 772*c_0101_5^4 - 355*c_0101_5^2 - 20, c_0101_5^22 + 25*c_0101_5^20 + 220*c_0101_5^18 - 365*c_0101_5^16 - 460*c_0101_5^14 + 910*c_0101_5^12 + 93*c_0101_5^10 - 786*c_0101_5^8 + 399*c_0101_5^6 - 19*c_0101_5^4 - 16*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB