Magma V2.19-8 Tue Aug 20 2013 23:56:57 on localhost [Seed = 104886006] Type ? for help. Type -D to quit. Loading file "L14n25102__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25102 geometric_solution 11.51834015 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 1023 0132 1 1 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 -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 0.661191239438 0.546533990672 0 4 0 5 0132 0132 1023 0132 1 1 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 0 0 0.790428859277 0.498636854156 6 0 7 3 0132 0132 0132 1230 1 0 1 1 0 0 0 0 1 0 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 1 0 -1 0 0 1 -1 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656417358977 0.869151501071 2 8 0 9 3012 0132 0132 0132 1 1 0 1 0 0 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 1 -1 0 1 0 0 -1 1 -1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443010849538 0.961935647707 7 1 10 5 1023 0132 0132 1230 1 1 1 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 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 1.037861865194 0.751316322117 4 8 1 6 3012 1302 0132 2031 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534950421440 0.513038864834 2 5 9 11 0132 1302 1302 0132 1 0 1 1 0 0 0 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 0 0 0 0 0 0 0 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728276497726 0.878556473168 8 4 11 2 2310 1023 0132 0132 1 0 1 1 0 0 0 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 0 0 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 0.452970942661 0.631341680453 10 3 7 5 1023 0132 3201 2031 1 1 1 0 0 0 -1 1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477413688672 0.509187546378 6 10 3 11 2031 1023 0132 0321 1 1 1 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 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 0.740170525582 1.094436876761 9 8 11 4 1023 1023 3201 0132 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540196767916 0.955151888458 10 9 6 7 2310 0321 0132 0132 1 0 1 1 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 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 0.362519996895 1.048793758513 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0110_8'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0110_8'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : d['c_1001_11'], 'c_1100_3' : d['c_1001_11'], 'c_1100_2' : d['c_0101_9'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_11'], 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_9, c_0110_8, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 608382040697163673/1741716884818344529*c_1001_11^9 + 723118893604691400/1741716884818344529*c_1001_11^8 - 6418224782680045105/1741716884818344529*c_1001_11^7 + 1274580538944974519/1741716884818344529*c_1001_11^6 - 34070853695812162575/1741716884818344529*c_1001_11^5 + 23233806698606467595/1741716884818344529*c_1001_11^4 + 7344706519523634195/1741716884818344529*c_1001_11^3 - 8881510190384169026/1741716884818344529*c_1001_11^2 - 31766975053848835397/1741716884818344529*c_1001_11 + 7152138367169554120/1741716884818344529, c_0011_0 - 1, c_0011_10 + 249396743/17084835734*c_1001_11^9 - 864502627/17084835734*c_1001_11^8 + 1795189464/8542417867*c_1001_11^7 - 3543965266/8542417867*c_1001_11^6 + 9111155564/8542417867*c_1001_11^5 - 43856858211/17084835734*c_1001_11^4 + 16173912425/8542417867*c_1001_11^3 - 11987970973/17084835734*c_1001_11^2 - 2028356709/17084835734*c_1001_11 - 1057781343/8542417867, c_0011_11 + 1675318/8542417867*c_1001_11^9 + 115511640/8542417867*c_1001_11^8 - 246172602/8542417867*c_1001_11^7 + 1350933123/8542417867*c_1001_11^6 - 1463417021/8542417867*c_1001_11^5 + 6271135546/8542417867*c_1001_11^4 - 12387936549/8542417867*c_1001_11^3 - 23404969/8542417867*c_1001_11^2 + 1203106884/8542417867*c_1001_11 + 621368247/8542417867, c_0011_5 + 186040068/8542417867*c_1001_11^9 - 456262057/8542417867*c_1001_11^8 + 2241626164/8542417867*c_1001_11^7 - 2819971524/8542417867*c_1001_11^6 + 10787745873/8542417867*c_1001_11^5 - 19076904297/8542417867*c_1001_11^4 + 5210917478/8542417867*c_1001_11^3 + 11587385484/8542417867*c_1001_11^2 - 4756406126/8542417867*c_1001_11 - 1835016272/8542417867, c_0101_0 + 41084969/8542417867*c_1001_11^9 + 79350759/8542417867*c_1001_11^8 + 191491341/8542417867*c_1001_11^7 + 1329881582/8542417867*c_1001_11^6 + 1058216482/8542417867*c_1001_11^5 + 5652614017/8542417867*c_1001_11^4 - 11379618200/8542417867*c_1001_11^3 + 4850734987/8542417867*c_1001_11^2 - 1859424825/8542417867*c_1001_11 + 441688579/8542417867, c_0101_1 - 165099308/8542417867*c_1001_11^9 + 82484015/8542417867*c_1001_11^8 - 1502671195/8542417867*c_1001_11^7 - 1129802723/8542417867*c_1001_11^6 - 7580819022/8542417867*c_1001_11^5 - 1506337172/8542417867*c_1001_11^4 + 13758996665/8542417867*c_1001_11^3 - 8791238902/8542417867*c_1001_11^2 - 2525579520/8542417867*c_1001_11 - 280341856/8542417867, c_0101_10 + 359310965/17084835734*c_1001_11^9 - 911505965/17084835734*c_1001_11^8 + 2225013143/8542417867*c_1001_11^7 - 3139693716/8542417867*c_1001_11^6 + 11129043052/8542417867*c_1001_11^5 - 44149965477/17084835734*c_1001_11^4 + 9176129990/8542417867*c_1001_11^3 - 7344729069/17084835734*c_1001_11^2 + 16900300631/17084835734*c_1001_11 - 3751213271/8542417867, c_0101_11 - 1, c_0101_4 + 70184056/8542417867*c_1001_11^9 - 188287286/8542417867*c_1001_11^8 + 1044398395/8542417867*c_1001_11^7 - 1549818007/8542417867*c_1001_11^6 + 6086914470/8542417867*c_1001_11^5 - 10201821262/8542417867*c_1001_11^4 + 12436555595/8542417867*c_1001_11^3 - 12332349072/8542417867*c_1001_11^2 - 844274832/8542417867*c_1001_11 + 211306152/8542417867, c_0101_9 + 369059777/17084835734*c_1001_11^9 - 183297366/8542417867*c_1001_11^8 + 3852221155/17084835734*c_1001_11^7 - 28923408/8542417867*c_1001_11^6 + 10364443993/8542417867*c_1001_11^5 - 10079080781/17084835734*c_1001_11^4 - 6303586807/17084835734*c_1001_11^3 - 13627173/17084835734*c_1001_11^2 + 2510284970/8542417867*c_1001_11 + 5981274611/17084835734, c_0110_8 - 7954209/8542417867*c_1001_11^9 - 169999103/8542417867*c_1001_11^8 + 141312149/8542417867*c_1001_11^7 - 1772673403/8542417867*c_1001_11^6 - 234548633/8542417867*c_1001_11^5 - 8376034602/8542417867*c_1001_11^4 + 6882200152/8542417867*c_1001_11^3 + 2708224650/8542417867*c_1001_11^2 - 9205143111/8542417867*c_1001_11 + 1828926487/8542417867, c_1001_11^10 - 2*c_1001_11^9 + 12*c_1001_11^8 - 11*c_1001_11^7 + 62*c_1001_11^6 - 81*c_1001_11^5 + 39*c_1001_11^4 + 26*c_1001_11^3 - 8*c_1001_11^2 + 2*c_1001_11 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.410 seconds, Total memory usage: 32.09MB