Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 1259001773] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1864 geometric_solution 5.49769983 oriented_manifold CS_known 0.0000000000000001 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589205333458 0.394644113767 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.239195446700 0.390081871470 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 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 0 0 0 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 1.055376296612 0.615822708074 6 2 4 1 0132 1230 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 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 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 1.055376296612 0.615822708074 5 2 6 3 0321 0132 0321 0132 0 0 0 0 0 0 -1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696780030277 0.184524744075 4 6 2 6 0321 0321 0132 3201 0 0 0 0 0 1 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 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 0.175975414433 0.947359557602 3 5 4 5 0132 2310 0321 0321 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175975414433 0.947359557602 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_1001_4'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), '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_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0011_5']), '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' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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' : negation(d['c_0011_1']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_4'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 878417001190761794562245/3998902071662632051371*c_1001_4^16 + 5482099583341453469965913/7997804143325264102742*c_1001_4^15 + 35644284851606083762956410/3998902071662632051371*c_1001_4^14 - 128057009949086708085163165/3998902071662632051371*c_1001_4^13 - 223943611722443027166965501/7997804143325264102742*c_1001_4^12 + 130076781971853673883118596/1332967357220877350457*c_1001_4^11 - 340596757799851951663183945/7997804143325264102742*c_1001_4^10 - 1546468034671291511967466061/7997804143325264102742*c_1001_4^9 + 583593861806017744668526228/3998902071662632051371*c_1001_4^8 + 240857329740860348318695137/888644904813918233638*c_1001_4^7 - 1334553251005919399048198519/7997804143325264102742*c_1001_4^6 - 3153095107263481550140061/15321463876102038511*c_1001_4^5 + 36953330383868614504582838/444322452406959116819*c_1001_4^4 + 37525585296212793244366269/444322452406959116819*c_1001_4^3 - 1099356238238656853964700/45964391628306115533*c_1001_4^2 - 28163626957169058362488337/3998902071662632051371*c_1001_4 - 9387653673643708791246059/7997804143325264102742, c_0011_0 - 1, c_0011_1 - 15367244946650986212/15321463876102038511*c_1001_4^16 + 34521477435264399093/15321463876102038511*c_1001_4^15 + 655268608944726677789/15321463876102038511*c_1001_4^14 - 1670025325105123228679/15321463876102038511*c_1001_4^13 - 3487156492035000200924/15321463876102038511*c_1001_4^12 + 3908746673871205674652/15321463876102038511*c_1001_4^11 + 944769606807387539121/15321463876102038511*c_1001_4^10 - 13083402945055842822130/15321463876102038511*c_1001_4^9 - 1712510505890862434659/15321463876102038511*c_1001_4^8 + 19270039578708091877317/15321463876102038511*c_1001_4^7 + 5724707898259452656160/15321463876102038511*c_1001_4^6 - 12173541384817751128923/15321463876102038511*c_1001_4^5 - 5674115160380812418330/15321463876102038511*c_1001_4^4 + 2875511006014579055861/15321463876102038511*c_1001_4^3 + 1459200685987001135771/15321463876102038511*c_1001_4^2 + 273843049320086021397/15321463876102038511*c_1001_4 + 11475631541449627523/15321463876102038511, c_0011_3 - 12923436993123869637/15321463876102038511*c_1001_4^16 + 29146179468555770594/15321463876102038511*c_1001_4^15 + 551756654137783710282/15321463876102038511*c_1001_4^14 - 1412363318164697367451/15321463876102038511*c_1001_4^13 - 2958049476533862200667/15321463876102038511*c_1001_4^12 + 3453049553222520210110/15321463876102038511*c_1001_4^11 + 856968653460818408561/15321463876102038511*c_1001_4^10 - 11375188222167512146285/15321463876102038511*c_1001_4^9 - 1048949943605754639450/15321463876102038511*c_1001_4^8 + 16828451206762351673034/15321463876102038511*c_1001_4^7 + 4081031874070254309807/15321463876102038511*c_1001_4^6 - 10952056429884102064293/15321463876102038511*c_1001_4^5 - 4227540230693419988929/15321463876102038511*c_1001_4^4 + 2825142882398023101745/15321463876102038511*c_1001_4^3 + 1111441439971024216236/15321463876102038511*c_1001_4^2 + 145739753770022011446/15321463876102038511*c_1001_4 - 2534215910603400955/15321463876102038511, c_0011_5 + c_1001_4, c_0101_0 + 15153768832992087114/15321463876102038511*c_1001_4^16 - 37713551627454632120/15321463876102038511*c_1001_4^15 - 638370544169797345474/15321463876102038511*c_1001_4^14 + 1805722618706590773811/15321463876102038511*c_1001_4^13 + 3054754643455542767002/15321463876102038511*c_1001_4^12 - 4789132104663026385747/15321463876102038511*c_1001_4^11 + 95116463295485673667/15321463876102038511*c_1001_4^10 + 13358488344152580062352/15321463876102038511*c_1001_4^9 - 1906072710952699385244/15321463876102038511*c_1001_4^8 - 19360483463777183360097/15321463876102038511*c_1001_4^7 - 291478015674542751468/15321463876102038511*c_1001_4^6 + 13126413426903209842137/15321463876102038511*c_1001_4^5 + 1994060184434209759945/15321463876102038511*c_1001_4^4 - 3938165265377387127972/15321463876102038511*c_1001_4^3 - 489403756784585905431/15321463876102038511*c_1001_4^2 + 12848560726101140409/15321463876102038511*c_1001_4 + 12188800560308995985/15321463876102038511, c_0101_1 - 5771226718709120936/15321463876102038511*c_1001_4^16 + 12680286735166608754/15321463876102038511*c_1001_4^15 + 247495949049587308794/15321463876102038511*c_1001_4^14 - 617766664694219098336/15321463876102038511*c_1001_4^13 - 1369897216325011792636/15321463876102038511*c_1001_4^12 + 1525316849278517726116/15321463876102038511*c_1001_4^11 + 446629209436472038525/15321463876102038511*c_1001_4^10 - 5151132005117226361087/15321463876102038511*c_1001_4^9 - 527367598928245075034/15321463876102038511*c_1001_4^8 + 7484882554687429255475/15321463876102038511*c_1001_4^7 + 2042737718362761222789/15321463876102038511*c_1001_4^6 - 4679198383241350186636/15321463876102038511*c_1001_4^5 - 2023469382076241097324/15321463876102038511*c_1001_4^4 + 998357380629976361592/15321463876102038511*c_1001_4^3 + 555534660202907760041/15321463876102038511*c_1001_4^2 + 127667108254124096133/15321463876102038511*c_1001_4 + 5117668633216702196/15321463876102038511, c_1001_4^17 - 3*c_1001_4^16 - 41*c_1001_4^15 + 141*c_1001_4^14 + 147*c_1001_4^13 - 434*c_1001_4^12 + 130*c_1001_4^11 + 916*c_1001_4^10 - 556*c_1001_4^9 - 1354*c_1001_4^8 + 608*c_1001_4^7 + 1087*c_1001_4^6 - 252*c_1001_4^5 - 468*c_1001_4^4 + 48*c_1001_4^3 + 55*c_1001_4^2 + 13*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB