Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 2800171647] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1823 geometric_solution 5.48162025 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 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 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 0.434271065238 0.238934493114 0 3 0 3 0132 0132 2310 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.767621332849 0.972539367664 4 0 5 0 0132 2310 0132 0132 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 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 0.798107601912 0.733604874550 1 1 4 5 3201 0132 3012 3012 0 0 0 0 0 1 -1 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 1 -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 0.348729687888 1.267159146942 2 3 4 4 0132 1230 1230 3012 0 0 0 0 0 0 -1 1 -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 0 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.085789082612 1.139701058224 6 6 3 2 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143032305249 1.866944709356 5 6 5 6 0132 1302 2310 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 -0.527598230737 0.801912659474 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_5']})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 130705582625/151751014004*c_0101_5^20 + 385074291629/151751014004*c_0101_5^18 + 2254282981899/151751014004*c_0101_5^16 - 302683256520/37937753501*c_0101_5^14 - 2554548554819/37937753501*c_0101_5^12 - 1981294900332/37937753501*c_0101_5^10 + 20964407409721/151751014004*c_0101_5^8 + 7207988985226/37937753501*c_0101_5^6 - 8223427889140/37937753501*c_0101_5^4 + 1233285089715/37937753501*c_0101_5^2 - 3642146123113/151751014004, c_0011_0 - 1, c_0011_2 + 3980198430/644941809517*c_0101_5^20 - 16330121533/644941809517*c_0101_5^18 - 59104433078/644941809517*c_0101_5^16 + 113274981243/644941809517*c_0101_5^14 + 369464277132/644941809517*c_0101_5^12 + 97055081577/644941809517*c_0101_5^10 - 1049969104061/644941809517*c_0101_5^8 - 1115679542176/644941809517*c_0101_5^6 + 1019384573308/644941809517*c_0101_5^4 - 125082287688/644941809517*c_0101_5^2 + 589108300833/644941809517, c_0011_5 - 16988648912/644941809517*c_0101_5^20 + 48190163832/644941809517*c_0101_5^18 + 299585545301/644941809517*c_0101_5^16 - 137570714493/644941809517*c_0101_5^14 - 1314534139092/644941809517*c_0101_5^12 - 1108302119414/644941809517*c_0101_5^10 + 2425099210667/644941809517*c_0101_5^8 + 3604763330813/644941809517*c_0101_5^6 - 3978238093068/644941809517*c_0101_5^4 + 1785145732712/644941809517*c_0101_5^2 - 366951515491/644941809517, c_0101_0 - 27916754342/644941809517*c_0101_5^21 + 79770064596/644941809517*c_0101_5^19 + 490914945347/644941809517*c_0101_5^17 - 220063110342/644941809517*c_0101_5^15 - 2234948311235/644941809517*c_0101_5^13 - 1932802520284/644941809517*c_0101_5^11 + 4285875350117/644941809517*c_0101_5^9 + 6689153481145/644941809517*c_0101_5^7 - 6031009569376/644941809517*c_0101_5^5 + 1102288756684/644941809517*c_0101_5^3 - 907837622966/644941809517*c_0101_5, c_0101_1 - 1, c_0101_2 - 20130898249/644941809517*c_0101_5^20 + 49055261504/644941809517*c_0101_5^18 + 366033989696/644941809517*c_0101_5^16 + 4388981421/644941809517*c_0101_5^14 - 1432196485078/644941809517*c_0101_5^12 - 1804116227458/644941809517*c_0101_5^10 + 2008027755249/644941809517*c_0101_5^8 + 4565569022371/644941809517*c_0101_5^6 - 3184345568360/644941809517*c_0101_5^4 + 673974156916/644941809517*c_0101_5^2 - 465999730489/644941809517, c_0101_5^22 - 3*c_0101_5^20 - 17*c_0101_5^18 + 10*c_0101_5^16 + 76*c_0101_5^14 + 56*c_0101_5^12 - 157*c_0101_5^10 - 202*c_0101_5^8 + 256*c_0101_5^6 - 76*c_0101_5^4 + 37*c_0101_5^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB