Magma V2.19-8 Tue Aug 20 2013 16:16:04 on localhost [Seed = 694728167] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0328 geometric_solution 4.35944660 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0.665436630696 0.052866105402 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 -1 1 1 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 -1 1 1 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 0.841216121269 0.065773971465 1 3 1 3 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 -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 0 0 0 1 -1 -1 0 1 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707383265515 0.212482089374 4 2 5 2 0132 0132 0132 1023 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 -1 0 0 1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827781362157 1.384081535182 3 6 5 5 0132 0132 0213 2310 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 1 0 -1 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.133779719983 0.817141691942 4 4 6 3 3201 0213 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.133779719983 0.817141691942 5 4 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.804877050791 1.191833088553 ==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' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['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_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_5'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 452351605265125452483423725/6101560457443616384369548*c_0101_6^25 - 667809162897615057197104193/3050780228721808192184774*c_0101_6^23 - 21314753819428844009200244261/6101560457443616384369548*c_0101_6^21 - 236261510341068957429448122749/6101560457443616384369548*c_0101_6\ ^19 + 432370947479543546740666543897/1525390114360904096092387*c_01\ 01_6^17 + 3203510354737241742167783505055/6101560457443616384369548\ *c_0101_6^15 - 1200411016520390499314900533001/61015604574436163843\ 69548*c_0101_6^13 - 2455221628191006763037071446775/152539011436090\ 4096092387*c_0101_6^11 - 8459846420679019961050478714783/6101560457\ 443616384369548*c_0101_6^9 - 1366933438012501399304855647731/305078\ 0228721808192184774*c_0101_6^7 - 144138774498332967703072337093/305\ 0780228721808192184774*c_0101_6^5 + 4788343483278594141813987674/1525390114360904096092387*c_0101_6^3 + 3970009915925152353715362757/6101560457443616384369548*c_0101_6, c_0011_0 - 1, c_0011_1 - 869486138422491365567661/1525390114360904096092387*c_0101_6^\ 24 + 2887875071894765516389654/1525390114360904096092387*c_0101_6^2\ 2 + 39943012260959677796395864/1525390114360904096092387*c_0101_6^2\ 0 + 439277994233948539501980585/1525390114360904096092387*c_0101_6^\ 18 - 3488051649156859301905458229/1525390114360904096092387*c_0101_\ 6^16 - 4890668062649045008410698847/1525390114360904096092387*c_010\ 1_6^14 + 4260858572190978782423769208/1525390114360904096092387*c_0\ 101_6^12 + 17531286335792422593519409291/1525390114360904096092387*\ c_0101_6^10 + 9632735593874336159164942113/152539011436090409609238\ 7*c_0101_6^8 + 928441597330797984297097983/152539011436090409609238\ 7*c_0101_6^6 - 276831471369227525880328519/152539011436090409609238\ 7*c_0101_6^4 - 25838681989995660827944936/1525390114360904096092387\ *c_0101_6^2 + 2636342721405759404786586/1525390114360904096092387, c_0011_5 + 501480830081905836339288/1525390114360904096092387*c_0101_6^\ 25 - 1562720405095964079243529/1525390114360904096092387*c_0101_6^2\ 3 - 23426387283499279817430703/1525390114360904096092387*c_0101_6^2\ 1 - 257912832023871929715032938/1525390114360904096092387*c_0101_6^\ 19 + 1961909420980190348602648176/1525390114360904096092387*c_0101_\ 6^17 + 3256810400288943857078103810/1525390114360904096092387*c_010\ 1_6^15 - 2074604548623709954115297419/1525390114360904096092387*c_0\ 101_6^13 - 10832195767178741247598965184/1525390114360904096092387*\ c_0101_6^11 - 7346016185975483999827680035/152539011436090409609238\ 7*c_0101_6^9 - 794463807027501168272090091/152539011436090409609238\ 7*c_0101_6^7 + 355930699547751159775613211/152539011436090409609238\ 7*c_0101_6^5 + 33018078519636954215126530/1525390114360904096092387\ *c_0101_6^3 - 6626066712905874590384339/1525390114360904096092387*c\ _0101_6, c_0101_0 + 3688717587877537307834951/1525390114360904096092387*c_0101_6\ ^25 - 11978179774819481899995061/1525390114360904096092387*c_0101_6\ ^23 - 170423442764692143754261240/1525390114360904096092387*c_0101_\ 6^21 - 1875947346999357606968070491/1525390114360904096092387*c_010\ 1_6^19 + 14662406774007251264426311574/1525390114360904096092387*c_\ 0101_6^17 + 21875288435484886865698842371/1525390114360904096092387\ *c_0101_6^15 - 16786064435030872597461044650/1525390114360904096092\ 387*c_0101_6^13 - 76028948938079467081079346089/1525390114360904096\ 092387*c_0101_6^11 - 46038155059180063867478201214/1525390114360904\ 096092387*c_0101_6^9 - 5778341654092723609813794513/152539011436090\ 4096092387*c_0101_6^7 + 1411106576740968769741128548/15253901143609\ 04096092387*c_0101_6^5 + 186453815802218123109647219/15253901143609\ 04096092387*c_0101_6^3 - 20430377758570696825841984/152539011436090\ 4096092387*c_0101_6, c_0101_1 + 876007695557486675430687/1525390114360904096092387*c_0101_6^\ 24 - 2918286476349664032948805/1525390114360904096092387*c_0101_6^2\ 2 - 40209236115121948269094004/1525390114360904096092387*c_0101_6^2\ 0 - 442186171790852526530538988/1525390114360904096092387*c_0101_6^\ 18 + 3518441177685118263228702880/1525390114360904096092387*c_0101_\ 6^16 + 4890120330720962897337077573/1525390114360904096092387*c_010\ 1_6^14 - 4324237266100639736660319407/1525390114360904096092387*c_0\ 101_6^12 - 17600284972367920351165639260/1525390114360904096092387*\ c_0101_6^10 - 9554313627061839802657960347/152539011436090409609238\ 7*c_0101_6^8 - 918939548910593883548642750/152539011436090409609238\ 7*c_0101_6^6 + 260269804097948637128584773/152539011436090409609238\ 7*c_0101_6^4 + 26704763722772146130675070/1525390114360904096092387\ *c_0101_6^2 - 1172352748349299355674911/1525390114360904096092387, c_0101_3 - 949378112778169530740842/1525390114360904096092387*c_0101_6^\ 24 + 3149738508050808600078271/1525390114360904096092387*c_0101_6^2\ 2 + 43625614580520665325340555/1525390114360904096092387*c_0101_6^2\ 0 + 479799933393828182246863627/1525390114360904096092387*c_0101_6^\ 18 - 3806835800404654624064415275/1525390114360904096092387*c_0101_\ 6^16 - 5354571914177587923120110633/1525390114360904096092387*c_010\ 1_6^14 + 4635338995254960603059471324/1525390114360904096092387*c_0\ 101_6^12 + 19173057916004485504842300056/1525390114360904096092387*\ c_0101_6^10 + 10591011647910803125654084610/15253901143609040960923\ 87*c_0101_6^8 + 1020236482602242233227666460/1525390114360904096092\ 387*c_0101_6^6 - 343223969614113077205049215/1525390114360904096092\ 387*c_0101_6^4 - 36504122546743634685167445/15253901143609040960923\ 87*c_0101_6^2 + 3779590283091622207295734/1525390114360904096092387\ , c_0101_6^26 - 3*c_0101_6^24 - 47*c_0101_6^22 - 520*c_0101_6^20 + 3849*c_0101_6^18 + 6911*c_0101_6^16 - 3068*c_0101_6^14 - 21711*c_0101_6^12 - 17595*c_0101_6^10 - 4739*c_0101_6^8 - 60*c_0101_6^6 + 138*c_0101_6^4 + 9*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB