Magma V2.19-8 Tue Aug 20 2013 16:15:54 on localhost [Seed = 2378961332] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0138 geometric_solution 3.64100861 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0321 0 0 0 0 0 0 1 -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 1 -1 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 0.797441511722 0.403822121645 0 0 2 3 0132 0321 2031 1302 0 0 0 0 0 1 -1 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001932149293 0.505418731147 2 0 2 1 2310 0132 3201 1302 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 0 -1 1 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 0.992436345766 1.978528543295 4 4 1 0 0132 3201 2031 0132 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 0.511340186132 0.372409962421 3 5 3 5 0132 0132 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 -3.342217345902 1.583117228392 6 4 6 4 0132 0132 1023 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 0.468161585049 0.050328338828 5 6 5 6 0132 2310 1023 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 0.721887189065 0.014829325440 ==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' : 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_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(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_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 4017541599401529/13743645851219*c_0101_6^19 + 71605504309930155/13743645851219*c_0101_6^18 + 1372533625517478500/41230937553657*c_0101_6^17 + 3030452149398231512/41230937553657*c_0101_6^16 - 1363105559453283357/13743645851219*c_0101_6^15 - 25648923620067322448/41230937553657*c_0101_6^14 - 3170352280753481212/13743645851219*c_0101_6^13 + 26090286393730796084/13743645851219*c_0101_6^12 + 56876333073311306603/41230937553657*c_0101_6^11 - 129050028179943358304/41230937553657*c_0101_6^10 - 95746858946480712853/41230937553657*c_0101_6^9 + 503456150760923929/165586094593*c_0101_6^8 + 75137333824696618885/41230937553657*c_0101_6^7 - 71108717074865400614/41230937553657*c_0101_6^6 - 27947800668275575213/41230937553657*c_0101_6^5 + 7231909934572015010/13743645851219*c_0101_6^4 + 3917687315549328902/41230937553657*c_0101_6^3 - 2828903287132526242/41230937553657*c_0101_6^2 - 18663517809255077/41230937553657*c_0101_6 + 16393766635977918/13743645851219, c_0011_0 - 1, c_0011_3 + 48233427527006/41230937553657*c_0101_6^19 + 917334748082303/41230937553657*c_0101_6^18 + 2185162084162844/13743645851219*c_0101_6^17 + 19361514593773427/41230937553657*c_0101_6^16 + 2919895695178828/41230937553657*c_0101_6^15 - 35977139379661786/13743645851219*c_0101_6^14 - 157738571832174827/41230937553657*c_0101_6^13 + 191021144189505586/41230937553657*c_0101_6^12 + 486540790168852952/41230937553657*c_0101_6^11 - 114977209425753356/41230937553657*c_0101_6^10 - 219144475584925996/13743645851219*c_0101_6^9 - 327462225163520/496758283779*c_0101_6^8 + 452614991947109324/41230937553657*c_0101_6^7 + 54427526560673054/41230937553657*c_0101_6^6 - 155720472381561134/41230937553657*c_0101_6^5 - 5778661432383417/13743645851219*c_0101_6^4 + 22855417150058209/41230937553657*c_0101_6^3 + 1565545559124904/41230937553657*c_0101_6^2 - 801732318353129/41230937553657*c_0101_6 - 21432835641256/41230937553657, c_0101_0 + 7730904700994/13743645851219*c_0101_6^19 + 137694719864896/13743645851219*c_0101_6^18 + 2659091751273533/41230937553657*c_0101_6^17 + 2068822178482875/13743645851219*c_0101_6^16 - 5352742930181666/41230937553657*c_0101_6^15 - 43498438356169628/41230937553657*c_0101_6^14 - 24374992197822553/41230937553657*c_0101_6^13 + 35585705395951562/13743645851219*c_0101_6^12 + 90103882626319805/41230937553657*c_0101_6^11 - 129469384877941108/41230937553657*c_0101_6^10 - 100625767791111530/41230937553657*c_0101_6^9 + 865679590772750/496758283779*c_0101_6^8 + 40363815178254949/41230937553657*c_0101_6^7 - 1572531601969534/13743645851219*c_0101_6^6 - 1393217152227848/41230937553657*c_0101_6^5 - 10564401575164346/41230937553657*c_0101_6^4 - 1501799643364456/41230937553657*c_0101_6^3 + 988556713954209/13743645851219*c_0101_6^2 + 95215828202489/41230937553657*c_0101_6 - 107519199242329/41230937553657, c_0101_2 - 434074159525/13743645851219*c_0101_6^19 + 2324730721061/13743645851219*c_0101_6^18 + 393256468506067/41230937553657*c_0101_6^17 + 3196427804812391/41230937553657*c_0101_6^16 + 8850218441088943/41230937553657*c_0101_6^15 - 3856391872195894/41230937553657*c_0101_6^14 - 57666715470831883/41230937553657*c_0101_6^13 - 14492213309687583/13743645851219*c_0101_6^12 + 144197864806721356/41230937553657*c_0101_6^11 + 49557075752989691/13743645851219*c_0101_6^10 - 65064272532158363/13743645851219*c_0101_6^9 - 2299467131020441/496758283779*c_0101_6^8 + 148614027250171187/41230937553657*c_0101_6^7 + 115356098219744455/41230937553657*c_0101_6^6 - 19419379605303317/13743645851219*c_0101_6^5 - 32232027079847183/41230937553657*c_0101_6^4 + 9212757031740853/41230937553657*c_0101_6^3 + 3322120167109730/41230937553657*c_0101_6^2 - 75370522471445/13743645851219*c_0101_6 - 38416419324856/41230937553657, c_0101_3 + 26861243149103/41230937553657*c_0101_6^19 + 153685601943258/13743645851219*c_0101_6^18 + 919691098873168/13743645851219*c_0101_6^17 + 1668087178144325/13743645851219*c_0101_6^16 - 11988517769089387/41230937553657*c_0101_6^15 - 48373732759630037/41230937553657*c_0101_6^14 + 9510729488795015/41230937553657*c_0101_6^13 + 161656685406146210/41230937553657*c_0101_6^12 + 6362757929139965/13743645851219*c_0101_6^11 - 283344735476844685/41230937553657*c_0101_6^10 - 7601152046051388/13743645851219*c_0101_6^9 + 1090054621398463/165586094593*c_0101_6^8 - 6491651466916651/41230937553657*c_0101_6^7 - 137128162368137818/41230937553657*c_0101_6^6 + 13089884718471745/41230937553657*c_0101_6^5 + 11179487020074753/13743645851219*c_0101_6^4 - 3243202185068570/41230937553657*c_0101_6^3 - 3475661838549545/41230937553657*c_0101_6^2 + 79852526072650/41230937553657*c_0101_6 + 37425625209249/13743645851219, c_0101_5 + 14983779165181/41230937553657*c_0101_6^19 + 256496650121792/41230937553657*c_0101_6^18 + 1529479253836268/41230937553657*c_0101_6^17 + 2759767926656921/41230937553657*c_0101_6^16 - 6577251156719600/41230937553657*c_0101_6^15 - 26213372821511143/41230937553657*c_0101_6^14 + 5645629590957452/41230937553657*c_0101_6^13 + 28636798295400632/13743645851219*c_0101_6^12 + 7171266387639886/41230937553657*c_0101_6^11 - 144724549386805702/41230937553657*c_0101_6^10 - 3767959645563641/41230937553657*c_0101_6^9 + 504883731388235/165586094593*c_0101_6^8 - 13948779507422587/41230937553657*c_0101_6^7 - 48958757263061471/41230937553657*c_0101_6^6 + 4314486349608916/13743645851219*c_0101_6^5 + 4003483660963966/41230937553657*c_0101_6^4 - 3082234938319028/41230937553657*c_0101_6^3 + 1274272182223745/41230937553657*c_0101_6^2 + 110931289638448/41230937553657*c_0101_6 - 78485301192158/41230937553657, c_0101_6^20 + 18*c_0101_6^19 + 117*c_0101_6^18 + 271*c_0101_6^17 - 299*c_0101_6^16 - 2201*c_0101_6^15 - 1170*c_0101_6^14 + 6422*c_0101_6^13 + 5982*c_0101_6^12 - 9976*c_0101_6^11 - 10178*c_0101_6^10 + 9023*c_0101_6^9 + 8529*c_0101_6^8 - 4734*c_0101_6^7 - 3676*c_0101_6^6 + 1340*c_0101_6^5 + 751*c_0101_6^4 - 168*c_0101_6^3 - 58*c_0101_6^2 + 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB