Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 3751691015] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1748 geometric_solution 5.44275048 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.475544890408 0.580132006642 0 5 2 5 0132 0132 0321 2310 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 -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 0.808941956586 0.430513915917 4 0 1 3 3012 0132 0321 1230 0 0 0 0 0 0 0 0 -1 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 0 -1 0 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 0.857504416643 0.948538299720 2 3 3 0 3012 1230 3012 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 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 1.154881470453 1.030986386955 6 6 0 2 0132 3201 0132 1230 0 0 0 0 0 -1 0 1 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 -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 -0.784969869021 0.772149661398 1 1 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600887413811 0.142704537667 4 6 4 6 0132 1302 2310 2031 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 0.068048793382 1.160717928780 ==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' : negation(d['1']), 's_2_2' : negation(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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], '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' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_0'], '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_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : d['c_0011_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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 9491485063440595618588133556528262874543/30903467843836310883212661\ 92079047872*c_0110_5^29 + 13096276004742909766467713690621431267257\ /193146674023976943020079137004940492*c_0110_5^27 - 245404189903975522893150555436867225802435/386293348047953886040158\ 274009880984*c_0110_5^25 + 1050114616159342600641535321768360763407\ 1059/3090346784383631088321266192079047872*c_0110_5^23 - 5087241886172843502591968222628857076788881/44147811205480444118875\ 2313154149696*c_0110_5^21 + 782935569937877783614297846970422809304\ 19131/3090346784383631088321266192079047872*c_0110_5^19 - 27682916845593898975622332397417014808536663/7725866960959077720803\ 16548019761968*c_0110_5^17 + 25571065930324698046273952328365208949\ 723479/772586696095907772080316548019761968*c_0110_5^15 - 31625806887859343108104472081771657619861177/1545173392191815544160\ 633096039523936*c_0110_5^13 + 2658574558307897052591256034738936199\ 0578541/3090346784383631088321266192079047872*c_0110_5^11 - 7638359571424435172844635584293137776713343/30903467843836310883212\ 66192079047872*c_0110_5^9 + 192622571673612581996798880101496583025\ 583/386293348047953886040158274009880984*c_0110_5^7 - 58634831219773551423218893421127102477167/7725866960959077720803165\ 48019761968*c_0110_5^5 + 12903837524046593696690564006875252191181/\ 1545173392191815544160633096039523936*c_0110_5^3 - 1233335546773970829385951035285799238323/30903467843836310883212661\ 92079047872*c_0110_5, c_0011_0 - 1, c_0011_3 - 537196983821357302672338692271690606/68980955008563193935742\ 54893033589*c_0110_5^28 + 11985716184784693220291381047635843569/68\ 98095500856319393574254893033589*c_0110_5^26 - 113843823976601030277300586941846869434/689809550085631939357425489\ 3033589*c_0110_5^24 + 619212246356410797920047685814500991826/68980\ 95500856319393574254893033589*c_0110_5^22 - 2143837200238565253576958664596654858470/68980955008563193935742548\ 93033589*c_0110_5^20 + 4846255103566700564173863764242847384481/689\ 8095500856319393574254893033589*c_0110_5^18 - 7117799648619073373181033807557511162061/68980955008563193935742548\ 93033589*c_0110_5^16 + 6867055946566949808088330902153634386941/689\ 8095500856319393574254893033589*c_0110_5^14 - 4431570890455499448699779658277756929565/68980955008563193935742548\ 93033589*c_0110_5^12 + 1933933096401196188309432621280158822603/689\ 8095500856319393574254893033589*c_0110_5^10 - 571418210334101139448663820719479958131/689809550085631939357425489\ 3033589*c_0110_5^8 + 116538308785983830013756765963222823159/689809\ 5500856319393574254893033589*c_0110_5^6 - 17978887790257325547147268260068314072/6898095500856319393574254893\ 033589*c_0110_5^4 + 2090304303127977377210305694345791860/689809550\ 0856319393574254893033589*c_0110_5^2 - 92471692308774621761091171180473067/6898095500856319393574254893033\ 589, c_0011_4 - 1512827877018565719408428343454196135/4828666850599423575501\ 9784251235123*c_0110_5^28 + 32886271929963988687149052909574093111/\ 48286668505994235755019784251235123*c_0110_5^26 - 301717228817331270379707136629530118858/482866685059942357550197842\ 51235123*c_0110_5^24 + 1570147891242192334191130468309285983373/482\ 86668505994235755019784251235123*c_0110_5^22 - 732981737692446986208295360443952422881/689809550085631939357425489\ 3033589*c_0110_5^20 + 10672191286253408802826672594226320697154/482\ 86668505994235755019784251235123*c_0110_5^18 - 13810095039846036580226235333526586316377/4828666850599423575501978\ 4251235123*c_0110_5^16 + 11163324885355397418713715265145665777074/\ 48286668505994235755019784251235123*c_0110_5^14 - 5711385909360803449916631578132764482168/48286668505994235755019784\ 251235123*c_0110_5^12 + 1828403364646469601899423213706820529233/48\ 286668505994235755019784251235123*c_0110_5^10 - 346639406909755549757891175465915022355/482866685059942357550197842\ 51235123*c_0110_5^8 + 38018000669961662832709742075807339001/482866\ 68505994235755019784251235123*c_0110_5^6 - 2179941143225767580348310618080499701/48286668505994235755019784251\ 235123*c_0110_5^4 - 659148667342502996474069027964574667/4828666850\ 5994235755019784251235123*c_0110_5^2 + 120162253454507183616191486625097035/482866685059942357550197842512\ 35123, c_0101_0 - 428856727063871025912052879775583/17576045028207416647260868\ 58051*c_0110_5^28 + 9549499743349324412188627444021576/175760450282\ 0741664726086858051*c_0110_5^26 - 904731366936674799121850338426340\ 64/1757604502820741664726086858051*c_0110_5^24 + 490579075091761886647454757028622889/175760450282074166472608685805\ 1*c_0110_5^22 - 241725408281442096116060062925945385/25108635754582\ 0237818012408293*c_0110_5^20 + 380609101657556546184195679982640062\ 4/1757604502820741664726086858051*c_0110_5^18 - 5553653929529871074339615279266723629/17576045028207416647260868580\ 51*c_0110_5^16 + 5319920831057355819243618988706358175/175760450282\ 0741664726086858051*c_0110_5^14 - 341213921267297107857362523419315\ 3876/1757604502820741664726086858051*c_0110_5^12 + 1483329495110520209921823179058888480/17576045028207416647260868580\ 51*c_0110_5^10 - 437889129811169118262546192311864803/1757604502820\ 741664726086858051*c_0110_5^8 + 89409191369935554907866110894739160\ /1757604502820741664726086858051*c_0110_5^6 - 13685897288116741951772408915708289/1757604502820741664726086858051\ *c_0110_5^4 + 1547851335183422785933319322472174/175760450282074166\ 4726086858051*c_0110_5^2 - 71822655866628323145915337457579/1757604\ 502820741664726086858051, c_0101_1 - 1059733901877589669902987415317861/1757604502820741664726086\ 858051*c_0110_5^29 + 23603455890722129422135860075862521/1757604502\ 820741664726086858051*c_0110_5^27 - 223697056246766114338690387801807136/175760450282074166472608685805\ 1*c_0110_5^25 + 1213481259843893991191172663096206721/1757604502820\ 741664726086858051*c_0110_5^23 - 5982490325217792303401025490583980\ 20/251086357545820237818012408293*c_0110_5^21 + 9426869193815088042501852237441503442/17576045028207416647260868580\ 51*c_0110_5^19 - 13770252605920794909575475632444694636/17576045028\ 20741664726086858051*c_0110_5^17 + 13209521598018025919787681868909776423/1757604502820741664726086858\ 051*c_0110_5^15 - 8486520154020814774892314923119183399/17576045028\ 20741664726086858051*c_0110_5^13 + 3695776327425478067791636117346137963/17576045028207416647260868580\ 51*c_0110_5^11 - 1092831071565377421926228335640881965/175760450282\ 0741664726086858051*c_0110_5^9 + 2233848249604468357569179548464804\ 61/1757604502820741664726086858051*c_0110_5^7 - 34220591761502922615692321788127996/1757604502820741664726086858051\ *c_0110_5^5 + 3882914341358009104635795672123357/175760450282074166\ 4726086858051*c_0110_5^3 - 179258159153159649705692060399254/175760\ 4502820741664726086858051*c_0110_5, c_0101_3 + 995707006443601565587276606095665945/96573337011988471510039\ 568502470246*c_0110_5^29 - 11238352587931815650036146430044279474/4\ 8286668505994235755019784251235123*c_0110_5^27 + 108301683649333063445854527766914231033/482866685059942357550197842\ 51235123*c_0110_5^25 - 1197985745973343585003635671505332191841/965\ 73337011988471510039568502470246*c_0110_5^23 + 603979748957385498013133043932560695177/137961910017126387871485097\ 86067178*c_0110_5^21 - 9779071223993732948040821219569074845409/965\ 73337011988471510039568502470246*c_0110_5^19 + 7367519509293387317313848593172388183571/48286668505994235755019784\ 251235123*c_0110_5^17 - 7229733375351508768441587210112441462691/48\ 286668505994235755019784251235123*c_0110_5^15 + 4617784430077022876769045822805096567571/48286668505994235755019784\ 251235123*c_0110_5^13 - 3764142305332009487218723557086360071355/96\ 573337011988471510039568502470246*c_0110_5^11 + 907912257970339560392381599503522130193/965733370119884715100395685\ 02470246*c_0110_5^9 - 49778983098725685355473716870469474289/482866\ 68505994235755019784251235123*c_0110_5^7 - 1216654024462748036421359613385675055/48286668505994235755019784251\ 235123*c_0110_5^5 + 903088139825995748091176923124362471/4828666850\ 5994235755019784251235123*c_0110_5^3 - 422433150770855228800963830349052239/965733370119884715100395685024\ 70246*c_0110_5, c_0110_5^30 - 2744/121*c_0110_5^28 + 26632/121*c_0110_5^26 - 13535/11*c_0110_5^24 + 534169/121*c_0110_5^22 - 1269557/121*c_0110_5^20 + 2006860/121*c_0110_5^18 - 2142372/121*c_0110_5^16 + 1576414/121*c_0110_5^14 - 811579/121*c_0110_5^12 + 294145/121*c_0110_5^10 - 624*c_0110_5^8 + 14116/121*c_0110_5^6 - 2006/121*c_0110_5^4 + 197/121*c_0110_5^2 - 8/121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB