Magma V2.19-8 Tue Aug 20 2013 16:18:12 on localhost [Seed = 3431813617] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2413 geometric_solution 5.76689133 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3120 0132 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 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 0.023715837140 1.002278153697 0 4 2 4 0132 0132 3201 2310 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 0 0 0 0.247274906270 0.539359163606 1 0 0 5 2310 0132 3120 0132 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023715837140 1.002278153697 5 6 0 4 0321 0132 0132 0213 0 0 0 0 0 0 0 0 1 0 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 -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 1.649053116815 1.296941594838 1 1 5 3 3201 0132 2031 0213 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.741019864895 2.226010749727 3 6 2 4 0321 3201 0132 1302 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.649053116815 1.296941594838 6 3 5 6 3012 0132 2310 1230 0 0 0 0 0 0 0 0 0 0 -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 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 0.691416038352 0.616614210753 ==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_3']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1001_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_1001_6']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : negation(d['c_0101_6']), '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_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 4757749012/194591715*c_1001_6^9 - 9385420132/38918343*c_1001_6^8 - 161169757093/194591715*c_1001_6^7 - 365769150806/194591715*c_1001_6^6 - 213352912213/64863905*c_1001_6^5 - 142863307081/38918343*c_1001_6^4 - 374321981758/194591715*c_1001_6^3 - 1092360119/38918343*c_1001_6^2 + 75378762359/194591715*c_1001_6 + 9613182182/64863905, c_0011_0 - 1, c_0011_3 + 13731160/38918343*c_1001_6^9 + 122794600/38918343*c_1001_6^8 + 352914050/38918343*c_1001_6^7 + 734618644/38918343*c_1001_6^6 + 1163164393/38918343*c_1001_6^5 + 959410532/38918343*c_1001_6^4 + 116901539/38918343*c_1001_6^3 - 86663476/12972781*c_1001_6^2 - 45586663/12972781*c_1001_6 - 2295139/38918343, c_0101_0 + 9541184/12972781*c_1001_6^9 + 265134164/38918343*c_1001_6^8 + 821591216/38918343*c_1001_6^7 + 1804133545/38918343*c_1001_6^6 + 3029889317/38918343*c_1001_6^5 + 3018795895/38918343*c_1001_6^4 + 1288052789/38918343*c_1001_6^3 - 30934235/12972781*c_1001_6^2 - 304757896/38918343*c_1001_6 - 75552289/38918343, c_0101_1 + 38649556/38918343*c_1001_6^9 + 360898072/38918343*c_1001_6^8 + 375178399/12972781*c_1001_6^7 + 811286509/12972781*c_1001_6^6 + 1360085454/12972781*c_1001_6^5 + 3995559791/38918343*c_1001_6^4 + 1491111670/38918343*c_1001_6^3 - 260814364/38918343*c_1001_6^2 - 364933154/38918343*c_1001_6 - 40286791/12972781, c_0101_2 - 9541184/12972781*c_1001_6^9 - 265134164/38918343*c_1001_6^8 - 821591216/38918343*c_1001_6^7 - 1804133545/38918343*c_1001_6^6 - 3029889317/38918343*c_1001_6^5 - 3018795895/38918343*c_1001_6^4 - 1288052789/38918343*c_1001_6^3 + 30934235/12972781*c_1001_6^2 + 304757896/38918343*c_1001_6 + 75552289/38918343, c_0101_6 + 7424048/38918343*c_1001_6^9 + 24229316/12972781*c_1001_6^8 + 81665812/12972781*c_1001_6^7 + 540293707/38918343*c_1001_6^6 + 916058491/38918343*c_1001_6^5 + 963885241/38918343*c_1001_6^4 + 363691664/38918343*c_1001_6^3 - 55975424/12972781*c_1001_6^2 - 42713575/12972781*c_1001_6 - 9331837/12972781, c_1001_6^10 + 10*c_1001_6^9 + 141/4*c_1001_6^8 + 327/4*c_1001_6^7 + 583/4*c_1001_6^6 + 170*c_1001_6^5 + 203/2*c_1001_6^4 + 55/4*c_1001_6^3 - 63/4*c_1001_6^2 - 37/4*c_1001_6 - 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB