Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 54697939] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1425 geometric_solution 5.25881410 oriented_manifold CS_known 0.0000000000000001 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 1 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 1.153814956555 0.843224550306 0 5 5 4 0132 0132 1023 0213 0 0 0 0 0 1 0 -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 1 -1 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 0.409648277883 0.329760110139 6 0 6 4 0132 0132 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0.858562575452 0.591779419205 4 3 3 0 0213 1230 3012 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 0 -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 1.109916096481 0.761018104004 3 2 0 1 0213 1302 0132 0213 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 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 0.435045987142 0.412876510856 5 1 1 5 3012 0132 1023 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 -1 1 0 0 0 1 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.634266589710 0.939976986101 2 6 2 6 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569103399157 0.170563588235 ==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_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6']})} 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_4, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 60347/207975*c_0101_6^10 - 849277/69325*c_0101_6^9 - 55344/69325*c_0101_6^8 - 7919966/207975*c_0101_6^7 - 37953292/207975*c_0101_6^6 + 16281841/207975*c_0101_6^5 + 16242954/69325*c_0101_6^4 - 49032136/207975*c_0101_6^3 - 4958877/69325*c_0101_6^2 + 31334119/207975*c_0101_6 + 1932364/207975, c_0011_0 - 1, c_0011_3 - 1433/2773*c_0101_6^10 - 662/2773*c_0101_6^9 - 2928/2773*c_0101_6^8 - 24626/2773*c_0101_6^7 + 3176/2773*c_0101_6^6 + 40917/2773*c_0101_6^5 - 29462/2773*c_0101_6^4 - 21266/2773*c_0101_6^3 + 27517/2773*c_0101_6^2 + 4850/2773*c_0101_6 - 3663/2773, c_0011_4 + 1119/2773*c_0101_6^10 - 1244/2773*c_0101_6^9 + 3730/2773*c_0101_6^8 + 11714/2773*c_0101_6^7 - 20790/2773*c_0101_6^6 - 13740/2773*c_0101_6^5 + 31035/2773*c_0101_6^4 - 1249/2773*c_0101_6^3 - 19384/2773*c_0101_6^2 + 5478/2773*c_0101_6 + 3706/2773, c_0101_0 + 355/2773*c_0101_6^10 - 1148/2773*c_0101_6^9 + 259/2773*c_0101_6^8 + 3347/2773*c_0101_6^7 - 23412/2773*c_0101_6^6 - 4753/2773*c_0101_6^5 + 40267/2773*c_0101_6^4 - 27135/2773*c_0101_6^3 - 16622/2773*c_0101_6^2 + 22041/2773*c_0101_6 + 861/2773, c_0101_2 - 375/2773*c_0101_6^10 + 744/2773*c_0101_6^9 - 1250/2773*c_0101_6^8 - 3145/2773*c_0101_6^7 + 11569/2773*c_0101_6^6 + 2404/2773*c_0101_6^5 - 19961/2773*c_0101_6^4 + 3199/2773*c_0101_6^3 + 11700/2773*c_0101_6^2 - 5434/2773*c_0101_6 - 3331/2773, c_0101_5 - 1474/2773*c_0101_6^10 + 2392/2773*c_0101_6^9 - 3989/2773*c_0101_6^8 - 15061/2773*c_0101_6^7 + 44202/2773*c_0101_6^6 + 18493/2773*c_0101_6^5 - 71302/2773*c_0101_6^4 + 28384/2773*c_0101_6^3 + 38779/2773*c_0101_6^2 - 24746/2773*c_0101_6 - 7340/2773, c_0101_6^11 + 2*c_0101_6^9 + 15*c_0101_6^8 - 8*c_0101_6^7 - 31*c_0101_6^6 + 23*c_0101_6^5 + 21*c_0101_6^4 - 26*c_0101_6^3 - 6*c_0101_6^2 + 9*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB