Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 2901225899] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3362 geometric_solution 6.52504141 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 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 -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 0.575224595298 0.910566596622 0 0 2 4 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 1.178050231946 1.085416257503 4 0 5 1 1302 0132 0132 0132 0 0 0 0 0 1 -1 0 -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 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 0.114075085101 0.786484721183 6 5 4 0 0132 2103 2031 0132 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 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 0 0 0 0 0.548363719373 0.545964814252 6 2 1 3 2103 2031 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709742383218 1.105217817497 6 3 6 2 1023 2103 1230 0132 0 0 0 0 0 -1 0 1 0 0 1 -1 -1 1 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288042456303 0.880333303049 3 5 4 5 0132 1023 2103 3012 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.066472946248 0.543574617567 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), '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_4'], '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' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_0'])})} 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_1, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 33548557063/16111637*c_1001_0^14 + 71511054406/16111637*c_1001_0^13 + 143757590556/16111637*c_1001_0^12 + 142281074632/16111637*c_1001_0^11 + 101577323513/16111637*c_1001_0^10 + 3424498152/16111637*c_1001_0^9 - 109075657754/16111637*c_1001_0^8 - 213191032012/16111637*c_1001_0^7 - 195912436896/16111637*c_1001_0^6 - 24818559818/16111637*c_1001_0^5 + 14357096682/16111637*c_1001_0^4 + 24318574886/16111637*c_1001_0^3 + 63853031189/16111637*c_1001_0^2 + 38745869579/16111637*c_1001_0 + 6896822690/16111637, c_0011_0 - 1, c_0011_3 - 5529470639/16111637*c_1001_0^14 - 12037035251/16111637*c_1001_0^13 - 24246145951/16111637*c_1001_0^12 - 24666284928/16111637*c_1001_0^11 - 18161297056/16111637*c_1001_0^10 - 2028189099/16111637*c_1001_0^9 + 17025130062/16111637*c_1001_0^8 + 34978436732/16111637*c_1001_0^7 + 33141875065/16111637*c_1001_0^6 + 5295858858/16111637*c_1001_0^5 - 1854876462/16111637*c_1001_0^4 - 3469023204/16111637*c_1001_0^3 - 10226760350/16111637*c_1001_0^2 - 6469696585/16111637*c_1001_0 - 1184943046/16111637, c_0011_4 + 4556185900/16111637*c_1001_0^14 + 9981885517/16111637*c_1001_0^13 + 20105644666/16111637*c_1001_0^12 + 20588406069/16111637*c_1001_0^11 + 15212177436/16111637*c_1001_0^10 + 1864365293/16111637*c_1001_0^9 - 14027033311/16111637*c_1001_0^8 - 28999960475/16111637*c_1001_0^7 - 27694026941/16111637*c_1001_0^6 - 4686646184/16111637*c_1001_0^5 + 1490844812/16111637*c_1001_0^4 + 2886999462/16111637*c_1001_0^3 + 8469739071/16111637*c_1001_0^2 + 5449641105/16111637*c_1001_0 + 1038227291/16111637, c_0101_0 - 1366111019/16111637*c_1001_0^14 - 2906463744/16111637*c_1001_0^13 - 5851655529/16111637*c_1001_0^12 - 5829271334/16111637*c_1001_0^11 - 4235567800/16111637*c_1001_0^10 - 358340824/16111637*c_1001_0^9 + 4182979453/16111637*c_1001_0^8 + 8387367321/16111637*c_1001_0^7 + 7778432437/16111637*c_1001_0^6 + 938660872/16111637*c_1001_0^5 - 446604121/16111637*c_1001_0^4 - 830148814/16111637*c_1001_0^3 - 2491291752/16111637*c_1001_0^2 - 1446384145/16111637*c_1001_0 - 220624462/16111637, c_0101_1 - 1478892478/16111637*c_1001_0^14 - 3228696484/16111637*c_1001_0^13 - 6512232646/16111637*c_1001_0^12 - 6667076458/16111637*c_1001_0^11 - 4944479828/16111637*c_1001_0^10 - 648350290/16111637*c_1001_0^9 + 4505212193/16111637*c_1001_0^8 + 9337953904/16111637*c_1001_0^7 + 8938470301/16111637*c_1001_0^6 + 1502568167/16111637*c_1001_0^5 - 414380847/16111637*c_1001_0^4 - 926818636/16111637*c_1001_0^3 - 2749077944/16111637*c_1001_0^2 - 1720281974/16111637*c_1001_0 - 333405921/16111637, c_0101_3 - 4032499079/16111637*c_1001_0^14 - 8730438902/16111637*c_1001_0^13 - 17576528281/16111637*c_1001_0^12 - 17778121112/16111637*c_1001_0^11 - 13006057389/16111637*c_1001_0^10 - 1289164424/16111637*c_1001_0^9 + 12529174807/16111637*c_1001_0^8 + 25442594646/16111637*c_1001_0^7 + 23986177539/16111637*c_1001_0^6 + 3629533767/16111637*c_1001_0^5 - 1359106226/16111637*c_1001_0^4 - 2575647849/16111637*c_1001_0^3 - 7486695839/16111637*c_1001_0^2 - 4663445166/16111637*c_1001_0 - 862154054/16111637, c_1001_0^15 + 20/7*c_1001_0^14 + 41/7*c_1001_0^13 + 52/7*c_1001_0^12 + 44/7*c_1001_0^11 + 18/7*c_1001_0^10 - 20/7*c_1001_0^9 - 59/7*c_1001_0^8 - 72/7*c_1001_0^7 - 5*c_1001_0^6 - 2/7*c_1001_0^5 + 6/7*c_1001_0^4 + 16/7*c_1001_0^3 + 17/7*c_1001_0^2 + c_1001_0 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB