Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 3035965543] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1372 geometric_solution 5.23091188 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 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 -1.995832836672 0.541864736210 0 0 2 2 0132 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201708001216 0.118242453090 1 3 1 4 2310 0132 0132 0132 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 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 -0.160545350816 1.494384413219 4 2 5 5 3201 0132 2103 0132 0 1 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 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 0.500308153689 1.281805853753 6 6 2 3 0132 1230 0132 2310 0 0 1 0 0 0 0 0 0 0 -1 1 1 -1 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 1 0 -1 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 0.500308153689 1.281805853753 3 6 3 6 2103 1302 0132 0321 0 1 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 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 0.735752897909 0.677009718511 4 5 4 5 0132 0321 3012 2031 0 0 0 1 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 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 0.735752897909 0.677009718511 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_5'], '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_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0011_5'], '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_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3710907/2155870*c_0101_1^9 + 368338/215587*c_0101_1^8 + 37160447/4311740*c_0101_1^7 - 125140271/4311740*c_0101_1^6 + 39612383/2155870*c_0101_1^5 + 311481803/4311740*c_0101_1^4 - 217906953/2155870*c_0101_1^3 - 19435784/1077935*c_0101_1^2 + 19942233/215587*c_0101_1 - 239541571/4311740, c_0011_0 - 1, c_0011_2 + 7289/431174*c_0101_1^9 + 511/431174*c_0101_1^8 - 88803/862348*c_0101_1^7 + 33597/215587*c_0101_1^6 + 80163/431174*c_0101_1^5 - 613583/862348*c_0101_1^4 - 102455/862348*c_0101_1^3 + 1784595/862348*c_0101_1^2 + 19093/862348*c_0101_1 - 177322/215587, c_0011_4 + 111957/431174*c_0101_1^9 + 97763/431174*c_0101_1^8 - 1180375/862348*c_0101_1^7 + 419087/215587*c_0101_1^6 + 1412411/431174*c_0101_1^5 - 9342239/862348*c_0101_1^4 - 3572851/862348*c_0101_1^3 + 11034431/862348*c_0101_1^2 + 1406661/862348*c_0101_1 - 397353/215587, c_0011_5 - 45453/431174*c_0101_1^9 + 20486/215587*c_0101_1^8 + 535009/862348*c_0101_1^7 - 1242369/862348*c_0101_1^6 + 279235/431174*c_0101_1^5 + 3845309/862348*c_0101_1^4 - 1081189/431174*c_0101_1^3 - 919755/215587*c_0101_1^2 + 148991/215587*c_0101_1 + 480887/862348, c_0101_0 + 15306/215587*c_0101_1^9 - 7289/431174*c_0101_1^8 - 168877/431174*c_0101_1^7 + 792879/862348*c_0101_1^6 + 19974/215587*c_0101_1^5 - 1442397/431174*c_0101_1^4 + 1470719/862348*c_0101_1^3 + 2949371/862348*c_0101_1^2 - 1993667/862348*c_0101_1 - 386437/862348, c_0101_1^10 - 11/2*c_0101_1^8 + 23/2*c_0101_1^7 + 7/2*c_0101_1^6 - 89/2*c_0101_1^5 + 14*c_0101_1^4 + 93/2*c_0101_1^3 - 35/2*c_0101_1^2 - 6*c_0101_1 + 5/2, c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB