Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 2665415260] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0511 geometric_solution 4.51742167 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515884998193 0.032095634221 2 0 2 0 0132 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.783164419991 0.343806884531 1 1 3 3 0132 3201 0132 2310 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 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 3.903196108902 3.308109432358 2 4 5 2 3201 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 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 -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 0.058567249681 0.510254333506 5 3 6 5 2310 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202307273268 0.836653464661 6 4 4 3 2310 1302 3201 0132 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 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202307273268 0.836653464661 6 6 5 4 1302 2031 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596940141650 0.626095764659 ==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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_2']})} 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_5, c_0011_6, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 1036074415748/8644238905*c_0101_4^13 - 1539133156913/8644238905*c_0101_4^12 + 992839412806/1728847781*c_0101_4^11 + 9869064123708/1728847781*c_0101_4^10 + 12905135151931/8644238905*c_0101_4^9 - 279661284997892/8644238905*c_0101_4^8 + 4158403042861/8644238905*c_0101_4^7 + 480790031867814/8644238905*c_0101_4^6 - 17061314017744/1728847781*c_0101_4^5 - 275103049675304/8644238905*c_0101_4^4 + 8083631451485/1728847781*c_0101_4^3 + 11658337847733/1728847781*c_0101_4^2 - 3727273738472/8644238905*c_0101_4 - 3747876453118/8644238905, c_0011_0 - 1, c_0011_3 - 23818262744/8644238905*c_0101_4^13 - 31349036949/8644238905*c_0101_4^12 + 23589761628/1728847781*c_0101_4^11 + 222360475486/1728847781*c_0101_4^10 + 113819504498/8644238905*c_0101_4^9 - 6378228397576/8644238905*c_0101_4^8 + 1216626495928/8644238905*c_0101_4^7 + 10502592178462/8644238905*c_0101_4^6 - 757781207175/1728847781*c_0101_4^5 - 5204558944832/8644238905*c_0101_4^4 + 344624505931/1728847781*c_0101_4^3 + 175809876074/1728847781*c_0101_4^2 - 185960711446/8644238905*c_0101_4 - 44246240184/8644238905, c_0011_5 - 48195593391/8644238905*c_0101_2*c_0101_4^13 - 61673153606/8644238905*c_0101_2*c_0101_4^12 + 48533581929/1728847781*c_0101_2*c_0101_4^11 + 449124419960/1728847781*c_0101_2*c_0101_4^10 + 145803954532/8644238905*c_0101_2*c_0101_4^9 - 12998483873804/8644238905*c_0101_2*c_0101_4^8 + 2805631581952/8644238905*c_0101_2*c_0101_4^7 + 21462398549948/8644238905*c_0101_2*c_0101_4^6 - 1608422220042/1728847781*c_0101_2*c_0101_4^5 - 10547763426908/8644238905*c_0101_2*c_0101_4^4 + 706425748331/1728847781*c_0101_2*c_0101_4^3 + 346208385089/1728847781*c_0101_2*c_0101_4^2 - 362664048874/8644238905*c_0101_2*c_0101_4 - 91449451761/8644238905*c_0101_2, c_0011_6 - 21287676336/8644238905*c_0101_2*c_0101_4^13 - 26907927781/8644238905*c_0101_2*c_0101_4^12 + 21472192791/1728847781*c_0101_2*c_0101_4^11 + 197858269935/1728847781*c_0101_2*c_0101_4^10 + 48659716392/8644238905*c_0101_2*c_0101_4^9 - 5729197780139/8644238905*c_0101_2*c_0101_4^8 + 1359470762302/8644238905*c_0101_2*c_0101_4^7 + 9430515782073/8644238905*c_0101_2*c_0101_4^6 - 763324640682/1728847781*c_0101_2*c_0101_4^5 - 4616417244698/8644238905*c_0101_2*c_0101_4^4 + 356504161780/1728847781*c_0101_2*c_0101_4^3 + 153341808540/1728847781*c_0101_2*c_0101_4^2 - 205269653379/8644238905*c_0101_2*c_0101_4 - 44982362586/8644238905*c_0101_2, c_0101_0 + 1810053987/8644238905*c_0101_2*c_0101_4^13 - 201467703/8644238905*c_0101_2*c_0101_4^12 - 2222352347/1728847781*c_0101_2*c_0101_4^11 - 13804191752/1728847781*c_0101_2*c_0101_4^10 + 108487354026/8644238905*c_0101_2*c_0101_4^9 + 436491769483/8644238905*c_0101_2*c_0101_4^8 - 842202845849/8644238905*c_0101_2*c_0101_4^7 - 403125574961/8644238905*c_0101_2*c_0101_4^6 + 314594208746/1728847781*c_0101_2*c_0101_4^5 - 321900526884/8644238905*c_0101_2*c_0101_4^4 - 152390362895/1728847781*c_0101_2*c_0101_4^3 + 37371105233/1728847781*c_0101_2*c_0101_4^2 + 92225683418/8644238905*c_0101_2*c_0101_4 - 9958769363/8644238905*c_0101_2, c_0101_2^2 + 92326320147/60509672335*c_0101_4^13 + 17474209066/8644238905*c_0101_4^12 - 92508360704/12101934467*c_0101_4^11 - 123665978630/1728847781*c_0101_4^10 - 463160441334/60509672335*c_0101_4^9 + 3575769279994/8644238905*c_0101_4^8 - 4159732248964/60509672335*c_0101_4^7 - 42042903818616/60509672335*c_0101_4^6 + 2688884656405/12101934467*c_0101_4^5 + 21813960786601/60509672335*c_0101_4^4 - 1221007950696/12101934467*c_0101_4^3 - 772571597318/12101934467*c_0101_4^2 + 679811257978/60509672335*c_0101_4 + 162492979102/60509672335, c_0101_4^14 + 2*c_0101_4^13 - 4*c_0101_4^12 - 50*c_0101_4^11 - 37*c_0101_4^10 + 262*c_0101_4^9 + 132*c_0101_4^8 - 460*c_0101_4^7 - 143*c_0101_4^6 + 298*c_0101_4^5 + 78*c_0101_4^4 - 70*c_0101_4^3 - 16*c_0101_4^2 + 5*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB