Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 2598045360] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0033 geometric_solution 3.60137947 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3.492717261158 0.266418342926 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 -0.533916911185 0.020333588287 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.771612447132 0.274622178602 2 2 4 4 2310 0132 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 -1 0 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 0.349380229984 0.243006619254 5 3 6 3 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.968938642392 0.516865961854 4 6 6 6 0132 0213 3012 1230 0 0 0 0 0 1 -1 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 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978395194823 1.004191902737 5 5 5 4 3012 1230 0213 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 0.978395194823 1.004191902737 ==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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), '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' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_6'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_6']), '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' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(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_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 758760657902660708990/17547239467297206289*c_0101_3^17 - 4792561409632938511341/17547239467297206289*c_0101_3^16 - 16685182218654354380348/17547239467297206289*c_0101_3^15 + 42403126578706308580659/17547239467297206289*c_0101_3^14 + 133563195501334732451509/17547239467297206289*c_0101_3^13 - 104829813719033004908434/17547239467297206289*c_0101_3^12 - 74902090201943904897382/2506748495328172327*c_0101_3^11 - 3672752473488612580206/2506748495328172327*c_0101_3^10 + 1140274479987105236927052/17547239467297206289*c_0101_3^9 + 369767474445910404773400/17547239467297206289*c_0101_3^8 - 1315964399703319873209673/17547239467297206289*c_0101_3^7 - 496908836689588664225995/17547239467297206289*c_0101_3^6 + 742230977977971155861375/17547239467297206289*c_0101_3^5 + 274778586585034273185501/17547239467297206289*c_0101_3^4 - 156136158713825521188621/17547239467297206289*c_0101_3^3 - 50923399006919162351970/17547239467297206289*c_0101_3^2 - 4066940188430975324940/17547239467297206289*c_0101_3 - 2772946051458356773714/17547239467297206289, c_0011_0 - 1, c_0011_2 + 23586648264937033/2506748495328172327*c_0101_3^17 - 634953210467617981/2506748495328172327*c_0101_3^16 + 2252227090161784053/2506748495328172327*c_0101_3^15 + 13503452985168572225/2506748495328172327*c_0101_3^14 - 14367031304956113969/2506748495328172327*c_0101_3^13 - 94987251924307786448/2506748495328172327*c_0101_3^12 - 13073780924715787599/2506748495328172327*c_0101_3^11 + 298026253793627678260/2506748495328172327*c_0101_3^10 + 235701425376996210915/2506748495328172327*c_0101_3^9 - 470263976715977946801/2506748495328172327*c_0101_3^8 - 488004971884434215624/2506748495328172327*c_0101_3^7 + 352086385909254809912/2506748495328172327*c_0101_3^6 + 382016606617052037558/2506748495328172327*c_0101_3^5 - 87200501301178363194/2506748495328172327*c_0101_3^4 - 101576491335513919217/2506748495328172327*c_0101_3^3 - 12187315973860769386/2506748495328172327*c_0101_3^2 - 2622594682281572497/2506748495328172327*c_0101_3 + 1168978198102357757/2506748495328172327, c_0011_4 + 77510673812250002/2506748495328172327*c_0101_3^17 - 500967715323482992/2506748495328172327*c_0101_3^16 - 1590629925786640921/2506748495328172327*c_0101_3^15 + 4387186751811578910/2506748495328172327*c_0101_3^14 + 11744357753539477172/2506748495328172327*c_0101_3^13 - 12362234987965771239/2506748495328172327*c_0101_3^12 - 43818801951600890771/2506748495328172327*c_0101_3^11 + 12723836258365725861/2506748495328172327*c_0101_3^10 + 100326628132674904147/2506748495328172327*c_0101_3^9 - 10039447749447693281/2506748495328172327*c_0101_3^8 - 134949037159473514938/2506748495328172327*c_0101_3^7 - 686776890684216171/2506748495328172327*c_0101_3^6 + 88915280471922826682/2506748495328172327*c_0101_3^5 + 22387356185481548635/2506748495328172327*c_0101_3^4 - 18438973220704181477/2506748495328172327*c_0101_3^3 - 15776904329757234840/2506748495328172327*c_0101_3^2 - 2861502565459966785/2506748495328172327*c_0101_3 + 928086329928852915/2506748495328172327, c_0011_6 - 682578849663995769/2506748495328172327*c_0101_3^17 + 3860033287432530602/2506748495328172327*c_0101_3^16 + 17513579175979648389/2506748495328172327*c_0101_3^15 - 26457899523830032118/2506748495328172327*c_0101_3^14 - 135439612555895370799/2506748495328172327*c_0101_3^13 + 7042769019735760638/2506748495328172327*c_0101_3^12 + 460528544423675697718/2506748495328172327*c_0101_3^11 + 297259811776489657650/2506748495328172327*c_0101_3^10 - 797330705834430836122/2506748495328172327*c_0101_3^9 - 741838650165506888756/2506748495328172327*c_0101_3^8 + 709066491044436843003/2506748495328172327*c_0101_3^7 + 718585713700155561506/2506748495328172327*c_0101_3^6 - 290494874547686074481/2506748495328172327*c_0101_3^5 - 298929167132702634801/2506748495328172327*c_0101_3^4 + 31203623398219193999/2506748495328172327*c_0101_3^3 + 40518953018689823999/2506748495328172327*c_0101_3^2 + 5142506650229552825/2506748495328172327*c_0101_3 + 402912946877616981/2506748495328172327, c_0101_0 - 336393194941539890/2506748495328172327*c_0101_3^17 + 2052795402427890857/2506748495328172327*c_0101_3^16 + 8039702074799026027/2506748495328172327*c_0101_3^15 - 18263169734884198143/2506748495328172327*c_0101_3^14 - 68041264198396377512/2506748495328172327*c_0101_3^13 + 40119722807612910665/2506748495328172327*c_0101_3^12 + 277562260431099011716/2506748495328172327*c_0101_3^11 + 65136066232795811786/2506748495328172327*c_0101_3^10 - 611022894251701286400/2506748495328172327*c_0101_3^9 - 357784010628925867389/2506748495328172327*c_0101_3^8 + 708949471393608364685/2506748495328172327*c_0101_3^7 + 511939635775970339383/2506748495328172327*c_0101_3^6 - 399089340978504624870/2506748495328172327*c_0101_3^5 - 316546991793867131899/2506748495328172327*c_0101_3^4 + 82434733551290544211/2506748495328172327*c_0101_3^3 + 71659318519167659494/2506748495328172327*c_0101_3^2 + 1617695802372265819/2506748495328172327*c_0101_3 + 807629234481293364/2506748495328172327, c_0101_1 + 95501326768035048/2506748495328172327*c_0101_3^17 - 553520167839548836/2506748495328172327*c_0101_3^16 - 2124311743490774830/2506748495328172327*c_0101_3^15 + 2616611178434035911/2506748495328172327*c_0101_3^14 + 12191975539379444849/2506748495328172327*c_0101_3^13 + 5985691309283582362/2506748495328172327*c_0101_3^12 - 17399936650883927953/2506748495328172327*c_0101_3^11 - 35176336479957694774/2506748495328172327*c_0101_3^10 - 35617325543817928999/2506748495328172327*c_0101_3^9 - 10533223139174621593/2506748495328172327*c_0101_3^8 + 135256695441488606983/2506748495328172327*c_0101_3^7 + 133799918779798744333/2506748495328172327*c_0101_3^6 - 142061262733115187657/2506748495328172327*c_0101_3^5 - 140842588445592381221/2506748495328172327*c_0101_3^4 + 49556067675505317924/2506748495328172327*c_0101_3^3 + 43998601799065231916/2506748495328172327*c_0101_3^2 + 1537688150589404303/2506748495328172327*c_0101_3 + 398814091381341400/2506748495328172327, c_0101_3^18 - 6*c_0101_3^17 - 24*c_0101_3^16 + 49*c_0101_3^15 + 194*c_0101_3^14 - 83*c_0101_3^13 - 737*c_0101_3^12 - 252*c_0101_3^11 + 1500*c_0101_3^10 + 967*c_0101_3^9 - 1594*c_0101_3^8 - 1215*c_0101_3^7 + 782*c_0101_3^6 + 682*c_0101_3^5 - 93*c_0101_3^4 - 135*c_0101_3^3 - 28*c_0101_3^2 - 6*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB