Magma V2.19-8 Tue Aug 20 2013 16:14:49 on localhost [Seed = 559988046] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s795 geometric_solution 5.34268270 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0.482971767636 0.610488665866 3 4 2 0 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 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 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 0.576592279920 0.572333178929 4 3 0 1 2310 3201 0132 1302 0 0 0 0 0 0 -1 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 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 0.576592279920 0.572333178929 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.148525853298 1.190604519288 4 1 2 4 3012 0132 3201 1230 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.126407001156 0.867140049443 5 3 5 3 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580040377169 0.328621433479 ==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_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_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_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 49419793848202477/1591958847133367*c_0101_5^15 - 290437275382148982/1591958847133367*c_0101_5^14 + 627669536282333591/1591958847133367*c_0101_5^13 + 4018827554425350837/1591958847133367*c_0101_5^12 - 5615729104214829137/1591958847133367*c_0101_5^11 - 15881524459350318889/1591958847133367*c_0101_5^10 + 25741535948750099556/1591958847133367*c_0101_5^9 - 2708775890874795123/1591958847133367*c_0101_5^8 + 16358882844603794396/1591958847133367*c_0101_5^7 - 32549566337489325242/1591958847133367*c_0101_5^6 - 9458965324949071228/1591958847133367*c_0101_5^5 + 23852123804685754888/1591958847133367*c_0101_5^4 - 4201045090759625662/1591958847133367*c_0101_5^3 - 1130953260967424867/1591958847133367*c_0101_5^2 + 2419911541514261804/1591958847133367*c_0101_5 - 542121450407528005/1591958847133367, c_0011_0 - 1, c_0011_1 + 408060529743658/1591958847133367*c_0101_5^15 + 2720184269895730/1591958847133367*c_0101_5^14 - 2792252631731921/1591958847133367*c_0101_5^13 - 33794148466277850/1591958847133367*c_0101_5^12 + 17844216867108449/1591958847133367*c_0101_5^11 + 125406330392045466/1591958847133367*c_0101_5^10 - 100418860687380223/1591958847133367*c_0101_5^9 + 14728152997370587/1591958847133367*c_0101_5^8 - 192785243022236157/1591958847133367*c_0101_5^7 + 140275777637482409/1591958847133367*c_0101_5^6 + 69787901540320166/1591958847133367*c_0101_5^5 - 43386902655848062/1591958847133367*c_0101_5^4 + 19910931338742305/1591958847133367*c_0101_5^3 - 3531202268960032/1591958847133367*c_0101_5^2 - 1675676153261627/1591958847133367*c_0101_5 - 405188648167512/1591958847133367, c_0101_0 - 13717932561607/1591958847133367*c_0101_5^15 + 245917229792411/1591958847133367*c_0101_5^14 + 2511908633359324/1591958847133367*c_0101_5^13 - 17518053261517/1591958847133367*c_0101_5^12 - 29475159255699994/1591958847133367*c_0101_5^11 - 3364203592758004/1591958847133367*c_0101_5^10 + 112203216552480252/1591958847133367*c_0101_5^9 - 33466064582681438/1591958847133367*c_0101_5^8 - 15809214607671281/1591958847133367*c_0101_5^7 - 154480843793792344/1591958847133367*c_0101_5^6 + 34695991491392539/1591958847133367*c_0101_5^5 + 106279275256714475/1591958847133367*c_0101_5^4 - 15250682799367632/1591958847133367*c_0101_5^3 + 3539894820083227/1591958847133367*c_0101_5^2 + 8940557162848437/1591958847133367*c_0101_5 - 571260443611224/1591958847133367, c_0101_1 - 254844159017877/1591958847133367*c_0101_5^15 - 1699634305746836/1591958847133367*c_0101_5^14 + 1777834071448735/1591958847133367*c_0101_5^13 + 21309973418679298/1591958847133367*c_0101_5^12 - 11869130339557288/1591958847133367*c_0101_5^11 - 81975803675480809/1591958847133367*c_0101_5^10 + 69062060151138008/1591958847133367*c_0101_5^9 + 8027533480901979/1591958847133367*c_0101_5^8 + 97259152825456334/1591958847133367*c_0101_5^7 - 92436352755187015/1591958847133367*c_0101_5^6 - 71088159839711373/1591958847133367*c_0101_5^5 + 58546765845304615/1591958847133367*c_0101_5^4 + 4986611697666956/1591958847133367*c_0101_5^3 - 4127116992538752/1591958847133367*c_0101_5^2 + 5151054166690472/1591958847133367*c_0101_5 - 43034969987092/1591958847133367, c_0101_4 + 470965455129787/1591958847133367*c_0101_5^15 + 3344650228027332/1591958847133367*c_0101_5^14 - 1646547241191268/1591958847133367*c_0101_5^13 - 38801042625060205/1591958847133367*c_0101_5^12 + 3855113816017919/1591958847133367*c_0101_5^11 + 136896539504199848/1591958847133367*c_0101_5^10 - 60583279567541832/1591958847133367*c_0101_5^9 + 21342463023289548/1591958847133367*c_0101_5^8 - 214790386156249914/1591958847133367*c_0101_5^7 + 74206131469512359/1591958847133367*c_0101_5^6 + 72783050285779930/1591958847133367*c_0101_5^5 - 18530574909359717/1591958847133367*c_0101_5^4 + 33046694867308577/1591958847133367*c_0101_5^3 + 1779597944817039/1591958847133367*c_0101_5^2 - 90059191559391/1591958847133367*c_0101_5 + 758177130811513/1591958847133367, c_0101_5^16 + 6*c_0101_5^15 - 12*c_0101_5^14 - 83*c_0101_5^13 + 104*c_0101_5^12 + 337*c_0101_5^11 - 485*c_0101_5^10 - 15*c_0101_5^9 - 309*c_0101_5^8 + 610*c_0101_5^7 + 285*c_0101_5^6 - 483*c_0101_5^5 + 32*c_0101_5^4 + 40*c_0101_5^3 - 49*c_0101_5^2 + 7*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB