Magma V2.19-8 Tue Aug 20 2013 16:14:27 on localhost [Seed = 2496989335] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s444 geometric_solution 4.75654878 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 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 0 1 -1 -1 0 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 0.311497607016 0.606806456969 0 3 2 4 0132 0132 1230 0132 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 -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 1.330465201724 1.304273386405 3 0 4 1 2310 0132 2310 3012 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 0 0 0 0 0 1 -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 1.330465201724 1.304273386405 5 1 2 5 0132 0132 3201 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 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 0.078662213430 0.324228417205 4 2 1 4 3012 3201 0132 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 0 0 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 0.841060829296 0.630148483526 3 3 5 5 0132 2310 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.144367024819 3.130222257306 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_1_5' : negation(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_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), '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_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 42050204499933/45305814629*c_0101_5^11 - 101774031889260/45305814629*c_0101_5^10 + 1545057066587/1105019869*c_0101_5^9 + 941870553992669/135917443887*c_0101_5^8 + 406972037053411/135917443887*c_0101_5^7 - 415391283953600/135917443887*c_0101_5^6 - 81550743242600/135917443887*c_0101_5^5 + 56577752744160/45305814629*c_0101_5^4 - 357082948730/833849349*c_0101_5^3 - 28313257967069/135917443887*c_0101_5^2 + 28056335017045/135917443887*c_0101_5 - 5634889675561/135917443887, c_0011_0 - 1, c_0011_4 - 258977124/1882487*c_0101_5^11 - 633424605/1882487*c_0101_5^10 + 414337430/1882487*c_0101_5^9 + 2018385365/1882487*c_0101_5^8 + 798746284/1882487*c_0101_5^7 - 1052266955/1882487*c_0101_5^6 - 232330636/1882487*c_0101_5^5 + 404949403/1882487*c_0101_5^4 - 802082/11549*c_0101_5^3 - 68018036/1882487*c_0101_5^2 + 67583169/1882487*c_0101_5 - 13757310/1882487, c_0101_0 - 224096342715/1105019869*c_0101_5^11 - 556256088891/1105019869*c_0101_5^10 + 308631317700/1105019869*c_0101_5^9 + 1703516989892/1105019869*c_0101_5^8 + 819015149790/1105019869*c_0101_5^7 - 714805142390/1105019869*c_0101_5^6 - 198101374767/1105019869*c_0101_5^5 + 283629715380/1105019869*c_0101_5^4 - 595967315/6779263*c_0101_5^3 - 54614778179/1105019869*c_0101_5^2 + 47058512860/1105019869*c_0101_5 - 9497419212/1105019869, c_0101_1 + 47336793840/1105019869*c_0101_5^11 + 90323428800/1105019869*c_0101_5^10 - 125060327551/1105019869*c_0101_5^9 - 310260635962/1105019869*c_0101_5^8 + 12292290044/1105019869*c_0101_5^7 + 215226971412/1105019869*c_0101_5^6 - 34134773997/1105019869*c_0101_5^5 - 77115018002/1105019869*c_0101_5^4 + 214930094/6779263*c_0101_5^3 + 2583913831/1105019869*c_0101_5^2 - 11783629757/1105019869*c_0101_5 + 3516416342/1105019869, c_0101_2 + 63*c_0101_5^11 + 132*c_0101_5^10 - 149*c_0101_5^9 - 447*c_0101_5^8 - 39*c_0101_5^7 + 296*c_0101_5^6 - 27*c_0101_5^5 - 105*c_0101_5^4 + 61*c_0101_5^3 + 5*c_0101_5^2 - 21*c_0101_5 + 7, c_0101_5^12 + 44/21*c_0101_5^11 - 149/63*c_0101_5^10 - 149/21*c_0101_5^9 - 13/21*c_0101_5^8 + 296/63*c_0101_5^7 - 3/7*c_0101_5^6 - 5/3*c_0101_5^5 + 61/63*c_0101_5^4 + 5/63*c_0101_5^3 - 20/63*c_0101_5^2 + 8/63*c_0101_5 - 1/63 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB