Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 374835769] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s228 geometric_solution 4.38197091 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 1230 3012 3201 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 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 -0.209747408687 0.140113843691 0 0 2 2 0132 2310 2310 0132 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 1 -1 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 2.480897603891 2.107679977896 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 1 0 -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 -1 0 1 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 0.324934243012 0.536983700395 2 4 4 5 0132 2310 3201 0132 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 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 -0.168549755019 0.866826732451 3 5 2 3 2310 0132 0132 3201 0 0 0 0 0 0 1 -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 -1 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 -0.168549755019 0.866826732451 5 4 3 5 3201 0132 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 -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 0.216145515391 1.111604765127 ==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' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : 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_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], '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' : negation(d['c_0011_4']), 'c_0011_4' : 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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 431855671720443171885686496923/74288494021524605496958510256*c_0101\ _3^19 + 1313057317633070826661247100131/742884940215246054969585102\ 56*c_0101_3^18 + 587982605423062753605778164437/3714424701076230274\ 8479255128*c_0101_3^17 + 15698227675744196744774314804837/742884940\ 21524605496958510256*c_0101_3^16 - 3500501481863123460028703196157/74288494021524605496958510256*c_010\ 1_3^15 + 67424961911312129354872840825459/7428849402152460549695851\ 0256*c_0101_3^14 - 101522460370497267680806933626777/74288494021524\ 605496958510256*c_0101_3^13 + 12181810978433434698884451658284/4643\ 030876345287843559906891*c_0101_3^12 - 70357172619975224074995500146671/18572123505381151374239627564*c_01\ 01_3^11 + 241122975050755147588961705752657/74288494021524605496958\ 510256*c_0101_3^10 - 149513954883964097786785960512023/742884940215\ 24605496958510256*c_0101_3^9 - 150126181184609947699366375013473/74\ 288494021524605496958510256*c_0101_3^8 + 2458518891310059269615165909487/546238926628857393359989046*c_0101_\ 3^7 - 298835234142355017261580654815423/742884940215246054969585102\ 56*c_0101_3^6 - 69016885320705340216573370228327/742884940215246054\ 96958510256*c_0101_3^5 + 104567421416896038789767156675811/37144247\ 010762302748479255128*c_0101_3^4 + 7494809948677193839095289174609/74288494021524605496958510256*c_010\ 1_3^3 - 10344011689715563593380500315111/74288494021524605496958510\ 256*c_0101_3^2 - 3239738526668754990327983208781/742884940215246054\ 96958510256*c_0101_3 - 7732644041173558327501869784165/742884940215\ 24605496958510256, c_0011_0 - 1, c_0011_2 - 4070645918195670637313/12785893137700889316043*c_0101_3^19 + 10869908188943578825662/12785893137700889316043*c_0101_3^18 + 13306447826415233719899/12785893137700889316043*c_0101_3^17 + 157509972172275830578944/12785893137700889316043*c_0101_3^16 + 31685579624125724049892/12785893137700889316043*c_0101_3^15 + 717716142727737717849467/12785893137700889316043*c_0101_3^14 - 669253596370831361734698/12785893137700889316043*c_0101_3^13 + 1910703859012386730752551/12785893137700889316043*c_0101_3^12 - 2203937645658232329606558/12785893137700889316043*c_0101_3^11 + 2279326918659550382787739/12785893137700889316043*c_0101_3^10 - 1444293501319944322462771/12785893137700889316043*c_0101_3^9 - 1035444290899131749674201/12785893137700889316043*c_0101_3^8 + 2246103279347462211016656/12785893137700889316043*c_0101_3^7 - 2524207658441053029160109/12785893137700889316043*c_0101_3^6 - 610720591707345673120521/12785893137700889316043*c_0101_3^5 + 687173608949147184131108/12785893137700889316043*c_0101_3^4 - 33708740021038233086250/12785893137700889316043*c_0101_3^3 + 138903816058269475098649/12785893137700889316043*c_0101_3^2 + 18638162101960859786469/12785893137700889316043*c_0101_3 - 12803243870657464562620/12785893137700889316043, c_0011_4 + 38762709070244854201592849/113244655520616776672192851*c_010\ 1_3^19 - 106083197150410225662696845/113244655520616776672192851*c_\ 0101_3^18 - 120233927489248548334167741/113244655520616776672192851\ *c_0101_3^17 - 1490705492902159550747905168/11324465552061677667219\ 2851*c_0101_3^16 - 199437841590180480480938096/11324465552061677667\ 2192851*c_0101_3^15 - 6799711975895008951217692779/1132446555206167\ 76672192851*c_0101_3^14 + 6840297934934064668201889400/113244655520\ 616776672192851*c_0101_3^13 - 18568218386428839620214075613/1132446\ 55520616776672192851*c_0101_3^12 + 22182790752468578780761851252/113244655520616776672192851*c_0101_3^\ 11 - 23072342988443602009245059348/113244655520616776672192851*c_01\ 01_3^10 + 15236410233271702983122375233/113244655520616776672192851\ *c_0101_3^9 + 8643993600695361036558966035/113244655520616776672192\ 851*c_0101_3^8 - 1270323072713020546607141176/666145032474216333365\ 8403*c_0101_3^7 + 24676990384333638969435106532/1132446555206167766\ 72192851*c_0101_3^6 + 4827493085536691117517690867/1132446555206167\ 76672192851*c_0101_3^5 - 7092684779731807718307110852/1132446555206\ 16776672192851*c_0101_3^4 + 270677262602717045488808182/11324465552\ 0616776672192851*c_0101_3^3 - 935949927025165951164459265/113244655\ 520616776672192851*c_0101_3^2 - 40742235257616469125508148/11324465\ 5520616776672192851*c_0101_3 + 89135471443668422946534519/113244655\ 520616776672192851, c_0101_0 - 29913201481011533831401489/113244655520616776672192851*c_010\ 1_3^19 + 78900541411785100114725366/113244655520616776672192851*c_0\ 101_3^18 + 97991597039763551463542410/113244655520616776672192851*c\ _0101_3^17 + 1168100024621394608189958838/1132446555206167766721928\ 51*c_0101_3^16 + 274228998056171214182811821/1132446555206167766721\ 92851*c_0101_3^15 + 5376032050568285223844919119/113244655520616776\ 672192851*c_0101_3^14 - 4764511739460581306509586190/11324465552061\ 6776672192851*c_0101_3^13 + 14353008697616908290826826093/113244655\ 520616776672192851*c_0101_3^12 - 16329792204124400018251922355/1132\ 44655520616776672192851*c_0101_3^11 + 17799780788198737723621959936/113244655520616776672192851*c_0101_3^\ 10 - 12225208201726757635988573173/113244655520616776672192851*c_01\ 01_3^9 - 5096850779298591389365620502/113244655520616776672192851*c\ _0101_3^8 + 798120122959213229514894390/6661450324742163333658403*c\ _0101_3^7 - 16597368936934376522592721661/1132446555206167766721928\ 51*c_0101_3^6 - 4908433195767061925704606383/1132446555206167766721\ 92851*c_0101_3^5 + 3454867795913945128381452337/1132446555206167766\ 72192851*c_0101_3^4 + 620625870229707306862571895/11324465552061677\ 6672192851*c_0101_3^3 + 631197429825178088802482185/113244655520616\ 776672192851*c_0101_3^2 + 256450517396383498589286668/1132446555206\ 16776672192851*c_0101_3 - 19939627464199508766283954/11324465552061\ 6776672192851, c_0101_1 + 4684008180845880105405/12785893137700889316043*c_0101_3^19 - 12837559154830079579606/12785893137700889316043*c_0101_3^18 - 13785769701844384439096/12785893137700889316043*c_0101_3^17 - 182050796385295973020035/12785893137700889316043*c_0101_3^16 - 25087775785111739488750/12785893137700889316043*c_0101_3^15 - 848588404956047842355794/12785893137700889316043*c_0101_3^14 + 828974428825741013898200/12785893137700889316043*c_0101_3^13 - 2376334517029971395680640/12785893137700889316043*c_0101_3^12 + 2827176873877763589462431/12785893137700889316043*c_0101_3^11 - 3184782211655356681405672/12785893137700889316043*c_0101_3^10 + 2337586177525141132419535/12785893137700889316043*c_0101_3^9 + 451338644302898720861778/12785893137700889316043*c_0101_3^8 - 2121828548762981002539284/12785893137700889316043*c_0101_3^7 + 2905986044018138210417139/12785893137700889316043*c_0101_3^6 + 350999834402826623535157/12785893137700889316043*c_0101_3^5 - 431094945677960285342963/12785893137700889316043*c_0101_3^4 + 18995786990941735887455/12785893137700889316043*c_0101_3^3 - 114578036490432447795208/12785893137700889316043*c_0101_3^2 - 4235873937505489035921/12785893137700889316043*c_0101_3 - 4680827387709724980747/12785893137700889316043, c_0101_3^20 - 2*c_0101_3^19 - 5*c_0101_3^18 - 41*c_0101_3^17 - 34*c_0101_3^16 - 184*c_0101_3^15 + 44*c_0101_3^14 - 371*c_0101_3^13 + 228*c_0101_3^12 - 223*c_0101_3^11 - 8*c_0101_3^10 + 470*c_0101_3^9 - 379*c_0101_3^8 + 269*c_0101_3^7 + 544*c_0101_3^6 - 47*c_0101_3^5 - 81*c_0101_3^4 - 24*c_0101_3^3 - 22*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB