Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 307466095] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2972 geometric_solution 6.15237759 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 -1 2 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 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 0.765537366482 0.779943786891 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 -1 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 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 1.081912883151 0.774733445589 1 3 0 4 1230 3201 0132 3201 0 0 0 0 0 1 -2 1 1 0 0 -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 -1 1 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 1.081912883151 0.774733445589 1 5 2 6 0132 0132 2310 0132 0 0 0 0 0 0 1 -1 0 0 0 0 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 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 1.232547777373 0.461461089900 5 2 6 1 0213 2310 2031 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 1 0 -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 0.232547777373 0.461461089900 4 3 6 6 0213 0132 3012 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623040683274 0.612083412485 5 5 3 4 3201 1230 0132 1302 0 0 0 0 0 0 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 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 0.623040683274 0.612083412485 ==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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_6']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 692395184/321051*c_0110_6^13 - 5304333892/107017*c_0110_6^11 - 12394688984/321051*c_0110_6^9 - 2380343964/107017*c_0110_6^7 + 9914982764/321051*c_0110_6^5 + 2539001078/107017*c_0110_6^3 + 4980091325/321051*c_0110_6, c_0011_0 - 1, c_0011_1 - 27256/107017*c_0110_6^13 + 644184/107017*c_0110_6^11 + 58312/107017*c_0110_6^9 + 461148/107017*c_0110_6^7 - 459610/107017*c_0110_6^5 - 223790/107017*c_0110_6^3 - 331083/107017*c_0110_6, c_0011_4 + 29392/107017*c_0110_6^12 - 677536/107017*c_0110_6^10 - 506332/107017*c_0110_6^8 + 370264/107017*c_0110_6^6 + 492140/107017*c_0110_6^4 + 329908/107017*c_0110_6^2 - 52265/107017, c_0011_6 + 34824/107017*c_0110_6^12 - 808660/107017*c_0110_6^10 - 442400/107017*c_0110_6^8 + 40370/107017*c_0110_6^6 + 353742/107017*c_0110_6^4 + 133500/107017*c_0110_6^2 + 19333/107017, c_0101_0 + 32944/107017*c_0110_6^12 - 798840/107017*c_0110_6^10 + 395496/107017*c_0110_6^8 - 203752/107017*c_0110_6^6 + 288306/107017*c_0110_6^4 - 242570/107017*c_0110_6^2 + 84686/107017, c_0101_1 + c_0110_6, c_0110_6^14 - 23*c_0110_6^12 - 35/2*c_0110_6^10 - 10*c_0110_6^8 + 29/2*c_0110_6^6 + 43/4*c_0110_6^4 + 7*c_0110_6^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB