Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 2581071264] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0231 geometric_solution 4.19951045 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 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 2.302848299684 0.814140667709 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.630639237015 0.108195680996 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 0 1 -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 1 0 -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 0.583315334075 0.894937405356 4 2 5 4 2310 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 -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 -0.237504698960 0.549869858218 5 3 3 2 1023 2310 3201 0132 0 0 0 0 0 1 0 -1 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 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 -0.237504698960 0.549869858218 6 4 6 3 0132 1023 2310 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 0 0 1 -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 1.546220075826 1.907707183140 5 5 6 6 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.394840189846 0.240336218132 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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_0101_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 530456928438947804425764/3536116034282395056845*c_0101_5^13 + 770626761090443652014644/707223206856479011369*c_0101_5^12 - 1414004946224242232499383/3536116034282395056845*c_0101_5^11 - 19654987598053930758010217/3536116034282395056845*c_0101_5^10 - 15759099013754528671703247/3536116034282395056845*c_0101_5^9 - 34559816668271294270852336/3536116034282395056845*c_0101_5^8 + 210392578129409725048927241/3536116034282395056845*c_0101_5^7 - 127642844911537598943408617/3536116034282395056845*c_0101_5^6 + 22896709303843260882700656/3536116034282395056845*c_0101_5^5 + 9604002910328408476077351/3536116034282395056845*c_0101_5^4 - 17899321474164088617581301/3536116034282395056845*c_0101_5^3 + 9204507744254307631201512/3536116034282395056845*c_0101_5^2 + 100398872279162728726163/707223206856479011369*c_0101_5 - 468009241660951342030952/3536116034282395056845, c_0011_0 - 1, c_0011_2 - 70626904533722223820/64293018805134455579*c_0101_5^13 + 477706763413214313756/64293018805134455579*c_0101_5^12 + 56800406614467492751/64293018805134455579*c_0101_5^11 - 2631414048299966491459/64293018805134455579*c_0101_5^10 - 3412948070960306436168/64293018805134455579*c_0101_5^9 - 6077298748637129464363/64293018805134455579*c_0101_5^8 + 25241095311689105407831/64293018805134455579*c_0101_5^7 - 3870508275775580924079/64293018805134455579*c_0101_5^6 - 1156333765223796391497/64293018805134455579*c_0101_5^5 + 1380162383499560630786/64293018805134455579*c_0101_5^4 - 1726312780562260750793/64293018805134455579*c_0101_5^3 + 167619594415291332754/64293018805134455579*c_0101_5^2 + 279745029347264136544/64293018805134455579*c_0101_5 + 69109023810609303683/64293018805134455579, c_0011_4 - 33082761647108562732/64293018805134455579*c_0101_5^13 + 201120663825242870088/64293018805134455579*c_0101_5^12 + 182873048620498465203/64293018805134455579*c_0101_5^11 - 1236432452348759583446/64293018805134455579*c_0101_5^10 - 2437829179381913054167/64293018805134455579*c_0101_5^9 - 3823999011722775728064/64293018805134455579*c_0101_5^8 + 9988872325917931275360/64293018805134455579*c_0101_5^7 + 6491418991646936126625/64293018805134455579*c_0101_5^6 - 3012828392433574816969/64293018805134455579*c_0101_5^5 + 774911883212099413734/64293018805134455579*c_0101_5^4 - 384369591227801054245/64293018805134455579*c_0101_5^3 - 397358077484901321699/64293018805134455579*c_0101_5^2 + 334441833756566248391/64293018805134455579*c_0101_5 + 101568603303038346699/64293018805134455579, c_0101_0 + 50917643431293319392/64293018805134455579*c_0101_5^13 - 340981654960879001440/64293018805134455579*c_0101_5^12 - 70320744232813507152/64293018805134455579*c_0101_5^11 + 1938852509804344807752/64293018805134455579*c_0101_5^10 + 2577780078908914974178/64293018805134455579*c_0101_5^9 + 4316603030506253830900/64293018805134455579*c_0101_5^8 - 18127984208426806419735/64293018805134455579*c_0101_5^7 + 1103063415833853885602/64293018805134455579*c_0101_5^6 + 3408190056283123770015/64293018805134455579*c_0101_5^5 - 2103607940768821901544/64293018805134455579*c_0101_5^4 + 1470437213708891756844/64293018805134455579*c_0101_5^3 + 43001420802205982878/64293018805134455579*c_0101_5^2 - 396510822562562579950/64293018805134455579*c_0101_5 - 16651860523158086140/64293018805134455579, c_0101_1 - 9577029403995606176/64293018805134455579*c_0101_5^13 + 68144240959487341416/64293018805134455579*c_0101_5^12 - 11552704732535507752/64293018805134455579*c_0101_5^11 - 385099476240705038374/64293018805134455579*c_0101_5^10 - 328146680793679972692/64293018805134455579*c_0101_5^9 - 529757326867686433175/64293018805134455579*c_0101_5^8 + 3819094522029274731054/64293018805134455579*c_0101_5^7 - 1506399249679052354259/64293018805134455579*c_0101_5^6 - 1390840975230758317256/64293018805134455579*c_0101_5^5 + 1045710118443517099840/64293018805134455579*c_0101_5^4 - 425547749630148346034/64293018805134455579*c_0101_5^3 + 118773515784427810366/64293018805134455579*c_0101_5^2 + 167314382153284404671/64293018805134455579*c_0101_5 - 13306492435411011352/64293018805134455579, c_0101_3 - 58783536704549772324/64293018805134455579*c_0101_5^13 + 387930746358910044220/64293018805134455579*c_0101_5^12 + 114609243778681367045/64293018805134455579*c_0101_5^11 - 2195523275719323253303/64293018805134455579*c_0101_5^10 - 3202371410850930709638/64293018805134455579*c_0101_5^9 - 5449931040247968437962/64293018805134455579*c_0101_5^8 + 20267933297809491918354/64293018805134455579*c_0101_5^7 + 375654703032471222853/64293018805134455579*c_0101_5^6 - 2227839612847291256462/64293018805134455579*c_0101_5^5 + 1063450891168468130383/64293018805134455579*c_0101_5^4 - 1026631031060890810133/64293018805134455579*c_0101_5^3 - 75151542118257618470/64293018805134455579*c_0101_5^2 + 354919828349337522215/64293018805134455579*c_0101_5 + 86864218246119665260/64293018805134455579, c_0101_5^14 - 7*c_0101_5^13 + 3/4*c_0101_5^12 + 151/4*c_0101_5^11 + 79/2*c_0101_5^10 + 73*c_0101_5^9 - 759/2*c_0101_5^8 + 136*c_0101_5^7 + 20*c_0101_5^6 - 57/2*c_0101_5^5 + 113/4*c_0101_5^4 - 17/2*c_0101_5^3 - 21/4*c_0101_5^2 + 1/2*c_0101_5 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB