Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 1949689970] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s620 geometric_solution 5.10469415 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.369794059365 0.244144053284 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746902697002 0.999243383100 1 4 5 3 0132 0132 0132 2310 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 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 0.001073006379 0.897290540136 2 5 4 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 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 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 0.001073006379 0.897290540136 3 2 4 4 2310 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.374404682451 1.163827682419 5 3 5 2 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.001332709534 1.114464630199 ==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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], '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_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], '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_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 15355019521877266815429431/93467764903042348225481448*c_0101_4^21 + 123265436110894811120255827/93467764903042348225481448*c_0101_4^19 + 139949638529547977046576070/3894490204293431176061727*c_0101_4^17 + 1727724667234560112385052751/7788980408586862352123454*c_0101_4^15 + 289448202285246035270657369/472059418702234081946876*c_0101_4^13 + 33421558321880196843500307997/46733882451521174112740724*c_0101_4^1\ 1 - 3119543448899318104556663257/7788980408586862352123454*c_0101_4\ ^9 - 196078019414591311387796254577/93467764903042348225481448*c_01\ 01_4^7 - 8676359331593063683056732827/3894490204293431176061727*c_0\ 101_4^5 - 17451588907590273430956497495/46733882451521174112740724*\ c_0101_4^3 - 5355390509965055149728813809/9346776490304234822548144\ 8*c_0101_4, c_0011_0 - 1, c_0011_1 - 180140922709702844/564664376438079045391*c_0101_4^20 + 1712795190612585406/564664376438079045391*c_0101_4^18 + 36824707846164482248/564664376438079045391*c_0101_4^16 + 188816753513485610182/564664376438079045391*c_0101_4^14 + 405433477112927040184/564664376438079045391*c_0101_4^12 + 289651451598570377787/564664376438079045391*c_0101_4^10 - 548596440834250688203/564664376438079045391*c_0101_4^8 - 1179807743924562240779/564664376438079045391*c_0101_4^6 - 797568215785404302759/564664376438079045391*c_0101_4^4 + 357730664916835451515/564664376438079045391*c_0101_4^2 - 323673726254792465177/564664376438079045391, c_0011_3 + 43279536586137909421/32185869456970505587287*c_0101_4^21 - 743368836633161038249/64371738913941011174574*c_0101_4^19 - 3086500954159480247900/10728623152323501862429*c_0101_4^17 - 17746255808593232129024/10728623152323501862429*c_0101_4^15 - 43882949415551445486655/10728623152323501862429*c_0101_4^13 - 114077673833200266748009/32185869456970505587287*c_0101_4^11 + 58971725105381022272583/10728623152323501862429*c_0101_4^9 + 482391157710963034217710/32185869456970505587287*c_0101_4^7 + 225806666647250364965823/21457246304647003724858*c_0101_4^5 - 281838641033126838931463/64371738913941011174574*c_0101_4^3 - 50082130320962999866045/64371738913941011174574*c_0101_4, c_0101_0 + 160108188704139864629/64371738913941011174574*c_0101_4^21 - 1307277990865228155319/64371738913941011174574*c_0101_4^19 - 5809322073594909948132/10728623152323501862429*c_0101_4^17 - 35208422247551210791674/10728623152323501862429*c_0101_4^15 - 94365557828369556941583/10728623152323501862429*c_0101_4^13 - 305029985148796993563154/32185869456970505587287*c_0101_4^11 + 80906614085589548735694/10728623152323501862429*c_0101_4^9 + 1976374746437254926643715/64371738913941011174574*c_0101_4^7 + 313018625855696796493222/10728623152323501862429*c_0101_4^5 + 59924127298570037627510/32185869456970505587287*c_0101_4^3 + 38961473621378727449255/64371738913941011174574*c_0101_4, c_0101_1 - 301986453231439275/564664376438079045391*c_0101_4^20 + 2700979866932581216/564664376438079045391*c_0101_4^18 + 63496649993950012067/564664376438079045391*c_0101_4^16 + 350324265277968789378/564664376438079045391*c_0101_4^14 + 824627489522917532969/564664376438079045391*c_0101_4^12 + 653327620034095735665/564664376438079045391*c_0101_4^10 - 1185040316929912110510/564664376438079045391*c_0101_4^8 - 2924596525907749412191/564664376438079045391*c_0101_4^6 - 2192819250197572545816/564664376438079045391*c_0101_4^4 + 774754425100972629289/564664376438079045391*c_0101_4^2 + 66104791114020431455/564664376438079045391, c_0101_4^22 - 8*c_0101_4^20 - 219*c_0101_4^18 - 1356*c_0101_4^16 - 3762*c_0101_4^14 - 4408*c_0101_4^12 + 2454*c_0101_4^10 + 13003*c_0101_4^8 + 13839*c_0101_4^6 + 2180*c_0101_4^4 - 113*c_0101_4^2 - 99 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB