Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 3499183154] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0533 geometric_solution 4.55129338 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 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 0.261083353932 0.061563339171 0 1 0 1 0132 2310 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 -1.917863914250 0.223057098099 3 0 3 0 0132 2310 2310 0132 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 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 -1.221712531921 1.371605684637 2 2 4 5 0132 3201 0132 0132 0 0 0 0 0 -1 2 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127994493992 1.097506829234 6 5 5 3 0132 1023 2031 0132 0 0 0 0 0 1 1 -2 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 0 0 0 0 0 0.381044710710 0.686436616720 4 6 3 4 1023 3201 0132 1302 0 0 0 0 0 0 1 -1 -1 0 1 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 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 0.381044710710 0.686436616720 4 6 5 6 0132 1302 2310 2031 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 0 0 0 0 0 0 0 0.080161019411 1.815215993994 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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_4'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_0101_0']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 60865927274209000149/41512617868773635*c_0101_4^19 + 874609702296103450728/41512617868773635*c_0101_4^18 - 5009344424840280644872/41512617868773635*c_0101_4^17 + 14261024795333813773617/41512617868773635*c_0101_4^16 - 19720350908316571154848/41512617868773635*c_0101_4^15 + 7195233506025879765849/41512617868773635*c_0101_4^14 + 15219646003745033161676/41512617868773635*c_0101_4^13 - 24739184639062736207389/41512617868773635*c_0101_4^12 + 4214992084916988146396/41512617868773635*c_0101_4^11 + 41423157992234402134058/41512617868773635*c_0101_4^10 - 8277031008162679551278/8302523573754727*c_0101_4^9 - 17326476604077526229589/41512617868773635*c_0101_4^8 + 42362223595601339336019/41512617868773635*c_0101_4^7 - 9657451657960758813207/41512617868773635*c_0101_4^6 - 787662657625297903357/2441918698163155*c_0101_4^5 - 270729484228237770087/8302523573754727*c_0101_4^4 + 482728598131548593196/8302523573754727*c_0101_4^3 + 318698337020587556661/8302523573754727*c_0101_4^2 - 218941431075011733721/41512617868773635*c_0101_4 - 172946276418578790618/41512617868773635, c_0011_0 - 1, c_0011_2 - 267909319394696/29420707206785*c_0101_4^19 + 3677901812130572/29420707206785*c_0101_4^18 - 19662589823672508/29420707206785*c_0101_4^17 + 49775764063457023/29420707206785*c_0101_4^16 - 52809020368956437/29420707206785*c_0101_4^15 - 7449646640592369/29420707206785*c_0101_4^14 + 67743927177664084/29420707206785*c_0101_4^13 - 64347806629160211/29420707206785*c_0101_4^12 - 30558609998936091/29420707206785*c_0101_4^11 + 170068487136599502/29420707206785*c_0101_4^10 - 13946987847979357/5884141441357*c_0101_4^9 - 139717917699353726/29420707206785*c_0101_4^8 + 104990433836394741/29420707206785*c_0101_4^7 + 40481493511793417/29420707206785*c_0101_4^6 - 45872389047513136/29420707206785*c_0101_4^5 - 7905611897229321/5884141441357*c_0101_4^4 - 1720113881360350/5884141441357*c_0101_4^3 + 1002404372860709/5884141441357*c_0101_4^2 + 2815115472344861/29420707206785*c_0101_4 + 393033898547943/29420707206785, c_0011_4 + 20728206832346603/2441918698163155*c_0101_4^19 - 287974151885480701/2441918698163155*c_0101_4^18 + 1568036279969162534/2441918698163155*c_0101_4^17 - 4099529851599052374/2441918698163155*c_0101_4^16 + 4704882317385669496/2441918698163155*c_0101_4^15 - 40269590264415083/2441918698163155*c_0101_4^14 - 5451978473347538952/2441918698163155*c_0101_4^13 + 5961842940961892253/2441918698163155*c_0101_4^12 + 1526990683298948768/2441918698163155*c_0101_4^11 - 13657617603114276361/2441918698163155*c_0101_4^10 + 1537468014199558480/488383739632631*c_0101_4^9 + 9977620114702823678/2441918698163155*c_0101_4^8 - 10178993079909457193/2441918698163155*c_0101_4^7 - 1630630504873450636/2441918698163155*c_0101_4^6 + 4207027955349693043/2441918698163155*c_0101_4^5 + 456426315120056602/488383739632631*c_0101_4^4 + 38474669138687466/488383739632631*c_0101_4^3 - 94147697846407422/488383739632631*c_0101_4^2 - 131138632541933138/2441918698163155*c_0101_4 + 4468128005315506/2441918698163155, c_0101_0 + 29591058928052737/2441918698163155*c_0101_4^19 - 421185500284699959/2441918698163155*c_0101_4^18 + 2379079547928054236/2441918698163155*c_0101_4^17 - 6622786373141716801/2441918698163155*c_0101_4^16 + 8755799342010196774/2441918698163155*c_0101_4^15 - 2479422367613754137/2441918698163155*c_0101_4^14 - 7563219932555863058/2441918698163155*c_0101_4^13 + 11051375491541152517/2441918698163155*c_0101_4^12 - 813096511700515183/2441918698163155*c_0101_4^11 - 20017411044255038109/2441918698163155*c_0101_4^10 + 3506118105694460498/488383739632631*c_0101_4^9 + 10180977094336963572/2441918698163155*c_0101_4^8 - 18976466445225065837/2441918698163155*c_0101_4^7 + 2668184477781967491/2441918698163155*c_0101_4^6 + 6461072335386860607/2441918698163155*c_0101_4^5 + 272832079736072770/488383739632631*c_0101_4^4 - 156346995360875203/488383739632631*c_0101_4^3 - 150133476762591037/488383739632631*c_0101_4^2 + 27066430808978558/2441918698163155*c_0101_4 + 64431909882764649/2441918698163155, c_0101_1 - 39051323256814766/2441918698163155*c_0101_4^19 + 569197631936130167/2441918698163155*c_0101_4^18 - 3325677580540470258/2441918698163155*c_0101_4^17 + 9756746413807350203/2441918698163155*c_0101_4^16 - 14233514177865125362/2441918698163155*c_0101_4^15 + 6415949691235139436/2441918698163155*c_0101_4^14 + 9775513664423200624/2441918698163155*c_0101_4^13 - 17975614228088798511/2441918698163155*c_0101_4^12 + 4968717594659374329/2441918698163155*c_0101_4^11 + 27210353704201880222/2441918698163155*c_0101_4^10 - 6365858654383269253/488383739632631*c_0101_4^9 - 8243701491190707186/2441918698163155*c_0101_4^8 + 31094105939978880326/2441918698163155*c_0101_4^7 - 10043033288186706793/2441918698163155*c_0101_4^6 - 9305120045083821416/2441918698163155*c_0101_4^5 + 145813117313157490/488383739632631*c_0101_4^4 + 496499352796490873/488383739632631*c_0101_4^3 + 223119012835118628/488383739632631*c_0101_4^2 - 321826608444320829/2441918698163155*c_0101_4 - 166524782642898057/2441918698163155, c_0101_2 - 2549589036800388/2441918698163155*c_0101_4^19 + 47444121183436721/2441918698163155*c_0101_4^18 - 360387680793457569/2441918698163155*c_0101_4^17 + 1420832723531988034/2441918698163155*c_0101_4^16 - 2998292468241174451/2441918698163155*c_0101_4^15 + 2859158049185849153/2441918698163155*c_0101_4^14 + 452510743734744467/2441918698163155*c_0101_4^13 - 3773448569530964588/2441918698163155*c_0101_4^12 + 3340926641864770407/2441918698163155*c_0101_4^11 + 2356916411609163796/2441918698163155*c_0101_4^10 - 1753365509397000800/488383739632631*c_0101_4^9 + 3514199398676312867/2441918698163155*c_0101_4^8 + 6638304418806836983/2441918698163155*c_0101_4^7 - 5698379940577097234/2441918698163155*c_0101_4^6 - 1160329038787892748/2441918698163155*c_0101_4^5 + 397445838841789041/488383739632631*c_0101_4^4 + 253557362773784811/488383739632631*c_0101_4^3 + 32062979197068595/488383739632631*c_0101_4^2 - 240827851805895972/2441918698163155*c_0101_4 - 72501813832080671/2441918698163155, c_0101_4^20 - 14*c_0101_4^19 + 77*c_0101_4^18 - 204*c_0101_4^17 + 238*c_0101_4^16 - 292*c_0101_4^14 + 314*c_0101_4^13 + 79*c_0101_4^12 - 704*c_0101_4^11 + 429*c_0101_4^10 + 531*c_0101_4^9 - 588*c_0101_4^8 - 95*c_0101_4^7 + 275*c_0101_4^6 + 103*c_0101_4^5 - 30*c_0101_4^4 - 40*c_0101_4^3 - 6*c_0101_4^2 + 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB