Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 4290667515] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s449 geometric_solution 4.76757693 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 2031 0132 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 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 0.738087568522 0.745800838302 0 2 4 4 0132 1230 2310 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355977921761 0.495330086280 3 0 1 0 1230 0132 3012 1302 0 0 0 0 0 1 -1 0 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419182618870 1.193630813134 5 2 0 5 0132 3012 0132 1023 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 0.549903988092 0.663434442272 4 1 1 4 3201 3201 0132 2310 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 0 0 0 0 -1.139330906603 0.584235093370 3 5 5 3 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.376904222328 0.509443710899 ==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_3']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), '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_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_5']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_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_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 43921037085329309/883541996306153*c_0101_5^17 - 272338518402023265/883541996306153*c_0101_5^16 + 339196477746670299/883541996306153*c_0101_5^15 + 3790839783021865774/883541996306153*c_0101_5^14 - 1127815968298642751/883541996306153*c_0101_5^13 - 19865960414609201904/883541996306153*c_0101_5^12 + 6779504807904657796/883541996306153*c_0101_5^11 + 41917507895042595106/883541996306153*c_0101_5^10 - 20969522935251935317/883541996306153*c_0101_5^9 - 20517101851780436723/883541996306153*c_0101_5^8 - 1488732757576314700/883541996306153*c_0101_5^7 + 3052623271120258891/883541996306153*c_0101_5^6 + 12026941020395845760/883541996306153*c_0101_5^5 - 1392882132887425457/883541996306153*c_0101_5^4 + 154536242077780948/883541996306153*c_0101_5^3 - 2049895001315999787/883541996306153*c_0101_5^2 - 87830223658622029/883541996306153*c_0101_5 - 201364292494959481/883541996306153, c_0011_0 - 1, c_0011_3 + 632506775703353/883541996306153*c_0101_5^17 + 4320054403149318/883541996306153*c_0101_5^16 - 2028187083066937/883541996306153*c_0101_5^15 - 54824237769871611/883541996306153*c_0101_5^14 - 17963585794958877/883541996306153*c_0101_5^13 + 262683544132289166/883541996306153*c_0101_5^12 + 54524324045606530/883541996306153*c_0101_5^11 - 517343910760025373/883541996306153*c_0101_5^10 + 32044142231555060/883541996306153*c_0101_5^9 + 222978422817219832/883541996306153*c_0101_5^8 + 81606939105103676/883541996306153*c_0101_5^7 + 40172252891118810/883541996306153*c_0101_5^6 - 86867143547219508/883541996306153*c_0101_5^5 - 5859895878568127/883541996306153*c_0101_5^4 - 16143788600548899/883541996306153*c_0101_5^3 + 6326647163069596/883541996306153*c_0101_5^2 - 2027419464034786/883541996306153*c_0101_5 + 693104746166280/883541996306153, c_0011_4 + 451125898370019/883541996306153*c_0101_5^17 + 3313439799485388/883541996306153*c_0101_5^16 + 235755113556573/883541996306153*c_0101_5^15 - 39093133534012314/883541996306153*c_0101_5^14 - 32474665761371031/883541996306153*c_0101_5^13 + 173014021519352949/883541996306153*c_0101_5^12 + 124928415041895543/883541996306153*c_0101_5^11 - 320547654654650007/883541996306153*c_0101_5^10 - 132065136221649612/883541996306153*c_0101_5^9 + 130036427622424773/883541996306153*c_0101_5^8 + 108395284096135440/883541996306153*c_0101_5^7 + 59827273536378432/883541996306153*c_0101_5^6 - 32080922337933975/883541996306153*c_0101_5^5 - 20235261026457719/883541996306153*c_0101_5^4 - 17287485095759799/883541996306153*c_0101_5^3 - 3088684043036986/883541996306153*c_0101_5^2 - 1616903629080110/883541996306153*c_0101_5 + 350862188764998/883541996306153, c_0101_0 - 240173211332299/883541996306153*c_0101_5^17 - 1733917845286333/883541996306153*c_0101_5^16 + 25835105730745/883541996306153*c_0101_5^15 + 20416931488630963/883541996306153*c_0101_5^14 + 15452788909672085/883541996306153*c_0101_5^13 - 87628811144232032/883541996306153*c_0101_5^12 - 58100953786422246/883541996306153*c_0101_5^11 + 140081699991186387/883541996306153*c_0101_5^10 + 58895718587429617/883541996306153*c_0101_5^9 + 13060411595616899/883541996306153*c_0101_5^8 - 71195045713292678/883541996306153*c_0101_5^7 - 84386602260595387/883541996306153*c_0101_5^6 + 12045625030445528/883541996306153*c_0101_5^5 + 12661771528133958/883541996306153*c_0101_5^4 + 24733678269629068/883541996306153*c_0101_5^3 + 2007921589842350/883541996306153*c_0101_5^2 + 1505894948130024/883541996306153*c_0101_5 - 494374537887768/883541996306153, c_0101_1 - 641783732555894/883541996306153*c_0101_5^17 - 4715848501986603/883541996306153*c_0101_5^16 - 396923216477293/883541996306153*c_0101_5^15 + 55312855740645133/883541996306153*c_0101_5^14 + 46650063671979214/883541996306153*c_0101_5^13 - 241894687753783502/883541996306153*c_0101_5^12 - 178452289279900710/883541996306153*c_0101_5^11 + 434729901569958886/883541996306153*c_0101_5^10 + 190326533287269727/883541996306153*c_0101_5^9 - 142352588736061359/883541996306153*c_0101_5^8 - 167442027409725358/883541996306153*c_0101_5^7 - 104617322871881416/883541996306153*c_0101_5^6 + 49297713633352746/883541996306153*c_0101_5^5 + 30973135785092935/883541996306153*c_0101_5^4 + 28249704292507364/883541996306153*c_0101_5^3 - 637162675502993/883541996306153*c_0101_5^2 + 304622773047137/883541996306153*c_0101_5 - 890591963846070/883541996306153, c_0101_5^18 + 6*c_0101_5^17 - 9*c_0101_5^16 - 85*c_0101_5^15 + 43*c_0101_5^14 + 450*c_0101_5^13 - 243*c_0101_5^12 - 936*c_0101_5^11 + 661*c_0101_5^10 + 394*c_0101_5^9 - 52*c_0101_5^8 - 83*c_0101_5^7 - 269*c_0101_5^6 + 81*c_0101_5^5 - 6*c_0101_5^4 + 49*c_0101_5^3 - 6*c_0101_5^2 + 4*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB