Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 206409939] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1137 geometric_solution 5.00395840 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 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 1.531738078286 0.165209267990 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 -1 2 0 0 0 0 -2 2 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.272250224007 0.300221354434 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 0 0 1 -1 1 -1 0 0 1 -2 1 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661363445747 0.727556232006 2 5 6 6 0132 0132 2310 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 -1 1 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 0.037136554729 0.488005723486 6 6 2 5 3201 1023 0132 2310 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 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 0.037136554729 0.488005723486 4 3 5 5 3201 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806905504742 1.428254366638 4 3 3 4 1023 3201 0132 2310 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 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 -0.155040098332 2.037357959247 ==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' : 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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_2'], '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_4, c_0101_0, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 7346068038306241982972904748297795937/27424467845034893154739901205\ 7896312576*c_0101_5^25 + 59746611144726035746155070983760592107/274\ 244678450348931547399012057896312576*c_0101_5^23 + 1079407330781781558632605958441676529787/27424467845034893154739901\ 2057896312576*c_0101_5^21 + 859937421368940115761555247973406407681\ /13059270402397568168923762478947443456*c_0101_5^19 + 40933768568412458101235562592873349612053/6856116961258723288684975\ 3014474078144*c_0101_5^17 + 288428472198726434779357982557173536343\ 593/137122339225174465773699506028948156288*c_0101_5^15 + 672044306926483081504455457826753172134593/137122339225174465773699\ 506028948156288*c_0101_5^13 + 1828919109768408473565538965201534328\ 113223/137122339225174465773699506028948156288*c_0101_5^11 + 620273222334981066767017082488463997219145/914148928167829771824663\ 37352632104192*c_0101_5^9 + 750870438474991791526045099451472886001\ 137/91414892816782977182466337352632104192*c_0101_5^7 + 523837371986148899794442012832734128598723/274244678450348931547399\ 012057896312576*c_0101_5^5 + 41684760259199509838921684371538754033\ 2045/274244678450348931547399012057896312576*c_0101_5^3 - 20968873827835177945822566168559662245/5078605156487943176803685408\ 479561344*c_0101_5, c_0011_0 - 1, c_0011_1 - 2696845273036802749835290627415/3109350095808944802124705352\ 13034368*c_0101_5^24 + 30156440578298534849291706278719/31093500958\ 0894480212470535213034368*c_0101_5^22 + 329486864230960926369002504087549/310935009580894480212470535213034\ 368*c_0101_5^20 + 1806801773722110561266607961534103/10364500319363\ 1493404156845071011456*c_0101_5^18 + 4985700955979154707890101312111845/38866876197611810026558816901629\ 296*c_0101_5^16 + 14132094782404985267344683328481489/1554675047904\ 47240106235267606517184*c_0101_5^14 - 77072645319587734183394081619824885/1554675047904472401062352676065\ 17184*c_0101_5^12 - 84710471080944296585749180994878205/15546750479\ 0447240106235267606517184*c_0101_5^10 - 1147929981863024458043678770798829633/10364500319363149340415684507\ 1011456*c_0101_5^8 - 438226874969607276146886516848563979/103645003\ 193631493404156845071011456*c_0101_5^6 - 2345329275412319998967430343542094147/31093500958089448021247053521\ 3034368*c_0101_5^4 - 533536445220213620982429304563420427/310935009\ 580894480212470535213034368*c_0101_5^2 - 12890431785391930306369877245334647/1727416719893858223402614084516\ 8576, c_0011_4 + 475388637761949115083368124233/38866876197611810026558816901\ 629296*c_0101_5^24 - 2689700259045554581170440813075/19433438098805\ 905013279408450814648*c_0101_5^22 - 3622785048058631252663099526539/2429179762350738126659926056351831*\ c_0101_5^20 - 314215166690357546964166377221459/1295562539920393667\ 5519605633876432*c_0101_5^18 - 1704188403050629669480697860627345/9\ 716719049402952506639704225407324*c_0101_5^16 - 328568839158166344218581410649631/485835952470147625331985211270366\ 2*c_0101_5^14 + 10103339898661222314490107066886213/971671904940295\ 2506639704225407324*c_0101_5^12 + 327603010448484562572299587291196\ 27/19433438098805905013279408450814648*c_0101_5^10 + 226832839360671398062625134456024739/129556253992039366755196056338\ 76432*c_0101_5^8 + 63564373370400389623241749028364601/647781269960\ 1968337759802816938216*c_0101_5^6 + 84595865086925857280359997590980091/9716719049402952506639704225407\ 324*c_0101_5^4 + 109986553319000630965174585152493003/3886687619761\ 1810026558816901629296*c_0101_5^2 + 1364416718664709035466421316987193/21592708998673227792532676056460\ 72, c_0101_0 - 426464040713125086055217736192131/93280502874268344063741160\ 5639103104*c_0101_5^25 + 3486818444027238721067539929748309/9328050\ 28742683440637411605639103104*c_0101_5^23 + 62505643812248224684264702269555761/9328050287426834406374116056391\ 03104*c_0101_5^21 + 348578870934128231784654685830910001/3109350095\ 80894480212470535213034368*c_0101_5^19 + 2365412305282233188364032697142629367/23320125718567086015935290140\ 9775776*c_0101_5^17 + 16551053797124692735337615495752916783/466402\ 514371341720318705802819551552*c_0101_5^15 + 38399299594755996164973805167043157611/4664025143713417203187058028\ 19551552*c_0101_5^13 + 104912490413980533910090298003954747593/4664\ 02514371341720318705802819551552*c_0101_5^11 + 33649215556966319798383079048763557803/3109350095808944802124705352\ 13034368*c_0101_5^9 + 43797286057007312625633996037710971359/310935\ 009580894480212470535213034368*c_0101_5^7 + 29597515805856447427820628808442866841/9328050287426834406374116056\ 39103104*c_0101_5^5 + 24818418550074099182116309086231530123/932805\ 028742683440637411605639103104*c_0101_5^3 - 1580774930481989104534568130371143/17274167198938582234026140845168\ 576*c_0101_5, c_0101_2 - 195285402835363965660924715290643/93280502874268344063741160\ 5639103104*c_0101_5^25 + 1616684547971667603355419878464883/9328050\ 28742683440637411605639103104*c_0101_5^23 + 28449180040481626081692418561012561/9328050287426834406374116056391\ 03104*c_0101_5^21 + 158665732051416756617290991574308467/3109350095\ 80894480212470535213034368*c_0101_5^19 + 535637523541228901204961161843273503/116600628592835430079676450704\ 887888*c_0101_5^17 + 7369633215108097275403071685369593301/46640251\ 4371341720318705802819551552*c_0101_5^15 + 16926520047942065500921703371715021903/4664025143713417203187058028\ 19551552*c_0101_5^13 + 46720526998524421806136978709577913367/46640\ 2514371341720318705802819551552*c_0101_5^11 + 12920389917225653427804963705329678123/3109350095808944802124705352\ 13034368*c_0101_5^9 + 20488592913277691903178877033650003041/310935\ 009580894480212470535213034368*c_0101_5^7 + 13508893218984843910130157488400734881/9328050287426834406374116056\ 39103104*c_0101_5^5 + 12315772892974962482510320250404990585/932805\ 028742683440637411605639103104*c_0101_5^3 + 16223076884844878181482451636969469/5182250159681574670207842253550\ 5728*c_0101_5, c_0101_3 + 4339806279976668641908760208893/7773375239522362005311763380\ 3258592*c_0101_5^24 - 34813241858581333472086584232327/777337523952\ 23620053117633803258592*c_0101_5^22 - 160423326681786293183686395430103/194334380988059050132794084508146\ 48*c_0101_5^20 - 1789785635733579515437891090664701/129556253992039\ 36675519605633876432*c_0101_5^18 - 48951429362500627204299475577653943/3886687619761181002655881690162\ 9296*c_0101_5^16 - 175674048111069116409622334332573895/38866876197\ 611810026558816901629296*c_0101_5^14 - 25939125193624661258780135021356858/2429179762350738126659926056351\ 831*c_0101_5^12 - 280470243515858480174674602252548017/971671904940\ 2952506639704225407324*c_0101_5^10 - 443143398476070991882271481039175729/259112507984078733510392112677\ 52864*c_0101_5^8 - 468822379693804624721837586851993065/25911250798\ 407873351039211267752864*c_0101_5^6 - 118175336938514927026175529162207515/194334380988059050132794084508\ 14648*c_0101_5^4 - 99016298393262709161603521497680373/388668761976\ 11810026558816901629296*c_0101_5^2 - 418823128451912601536613976218937/215927089986732277925326760564607\ 2, c_0101_5^26 - 8*c_0101_5^24 - 148*c_0101_5^22 - 2478*c_0101_5^20 - 22619*c_0101_5^18 - 81542*c_0101_5^16 - 193864*c_0101_5^14 - 523876*c_0101_5^12 - 323349*c_0101_5^10 - 350484*c_0101_5^8 - 118036*c_0101_5^6 - 72670*c_0101_5^4 - 8865*c_0101_5^2 - 1134 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB