Magma V2.19-8 Wed Aug 21 2013 01:03:50 on localhost [Seed = 2851058059] Type ? for help. Type -D to quit. Loading file "L14n2331__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2331 geometric_solution 12.37001876 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 -2 -1 3 -2 0 0 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 1 1 -2 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 0 0 0 0.185889168687 0.757142772791 0 5 6 4 0132 0132 0132 1023 0 0 1 1 0 2 0 -2 2 0 0 -2 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 -1 0 0 1 0 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185889168687 0.757142772791 4 0 8 7 1023 0132 0132 0132 0 0 1 1 0 2 -2 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 -1 1 0 1 0 0 -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 0.307229782131 0.792101879447 7 9 6 0 0132 0132 1023 0132 0 0 1 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 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 0.307229782131 0.792101879447 5 2 0 1 0132 1023 0132 1023 0 0 1 1 0 1 -3 2 0 0 -2 2 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 2 -1 0 0 1 -1 -4 -1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780033789134 2.141656351597 4 1 10 11 0132 0132 0132 0132 0 0 1 1 0 -2 0 2 0 0 -1 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 1 0 -1 0 0 1 -1 0 0 0 0 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307229782131 0.792101879447 11 12 3 1 0132 0132 1023 0132 0 0 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307229782131 0.792101879447 3 11 2 10 0132 0132 0132 0132 0 0 1 1 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 -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 0.380459093798 0.671982688797 9 9 11 2 3012 0213 0132 0132 0 0 1 1 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965068707543 1.179798147122 12 3 8 8 0132 0132 0213 1230 0 1 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 -1 0 0 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 0.965068707543 1.179798147122 12 12 7 5 3012 0213 0132 0132 0 0 1 1 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 -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 0.965068707543 1.179798147122 6 7 5 8 0132 0132 0132 0132 0 0 1 1 0 0 -2 2 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 1 -1 -1 0 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 0 0.380459093798 0.671982688797 9 6 10 10 0132 0132 0213 1230 0 1 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 1 0 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 0.965068707543 1.179798147122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_1100_10'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_5'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_2'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_1001_0, c_1001_1, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 19732958308740220475417467515778978684/2932110172809074511305233535\ 638575693*c_1100_10^11 - 124993414448885272219228329882582636909083\ 9/6371475405514118913066272472942624980889*c_1100_10^10 - 15195287100954089597134937113756710434174/2359805705745969967802323\ 13812689814107*c_1100_10^9 - 89221274984903774473401953603469800728\ 41182/6371475405514118913066272472942624980889*c_1100_10^8 - 12902844593455215188096584680374198282427838/6371475405514118913066\ 272472942624980889*c_1100_10^7 - 4154794229972634897507030909269578\ 288105463/2123825135171372971022090824314208326963*c_1100_10^6 - 13839213243495727896157298670672382425471638/6371475405514118913066\ 272472942624980889*c_1100_10^5 - 3847981818204293431709342122433123\ 340407059/2123825135171372971022090824314208326963*c_1100_10^4 - 5019742001744295112132653595112631765479632/63714754055141189130662\ 72472942624980889*c_1100_10^3 - 17059571501076816917350444060289881\ 75265417/6371475405514118913066272472942624980889*c_1100_10^2 - 660139668702591286152621731024689944046838/637147540551411891306627\ 2472942624980889*c_1100_10 - 18406837505937306573414228925882264526\ 0398/6371475405514118913066272472942624980889, c_0011_0 - 1, c_0011_10 + 1812758786850211271117224591671454340/325790019201008279033\ 914837293175077*c_1100_10^11 - 536842665186177711485974132954912459\ 7/651580038402016558067829674586350154*c_1100_10^10 + 14646062365992911624994367841165779054/3257900192010082790339148372\ 93175077*c_1100_10^9 - 459036259905306984298783046696454717/7239778\ 2044668506451981074954038906*c_1100_10^8 + 6163368507618863235892407758887112741/32579001920100827903391483729\ 3175077*c_1100_10^7 + 21645520980563830427210884989433169093/651580\ 038402016558067829674586350154*c_1100_10^6 + 96824761831903592825221797915797921/2171933461340055193559432248621\ 16718*c_1100_10^5 - 416121704793456972821928488679880751/1085966730\ 67002759677971612431058359*c_1100_10^4 + 4224175853836196822074408436476405724/32579001920100827903391483729\ 3175077*c_1100_10^3 - 4395292666597288741422770724158051717/6515800\ 38402016558067829674586350154*c_1100_10^2 - 1037992325963112905442041886215269765/32579001920100827903391483729\ 3175077*c_1100_10 + 18200886109156412601523510263948777/36198891022\ 334253225990537477019453, c_0011_11 + 353627318711669135929018730307786392/3619889102233425322599\ 0537477019453*c_1100_10^11 - 382611464851692751122268653178256345/3\ 6198891022334253225990537477019453*c_1100_10^10 + 2759843308112593912893138224715847008/36198891022334253225990537477\ 019453*c_1100_10^9 + 611560273469722627411298294195296923/361988910\ 22334253225990537477019453*c_1100_10^8 + 1884395395455428928366312655807090984/36198891022334253225990537477\ 019453*c_1100_10^7 + 2789272072496119550505115548985000605/36198891\ 022334253225990537477019453*c_1100_10^6 + 1239673101799216627951917471467430480/36198891022334253225990537477\ 019453*c_1100_10^5 + 573720609366171818869375460579243806/361988910\ 22334253225990537477019453*c_1100_10^4 + 1164600535265319544548841867638631406/36198891022334253225990537477\ 019453*c_1100_10^3 + 22939942473461695891167319638090531/3619889102\ 2334253225990537477019453*c_1100_10^2 - 29920909870417369196625409435510710/3619889102233425322599053747701\ 9453*c_1100_10 + 31431560134681256423375700053735525/36198891022334\ 253225990537477019453, c_0101_0 - 1, c_0101_1 + 1582774924729630852344381551973239851/2171933461340055193559\ 43224862116718*c_1100_10^11 - 875213045389383662225859282437375723/\ 217193346134005519355943224862116718*c_1100_10^10 + 5833287354188537334706650478952974291/10859667306700275967797161243\ 1058359*c_1100_10^9 + 1502127061942388478913780386455521761/3619889\ 1022334253225990537477019453*c_1100_10^8 + 11469378332906184455599075705647953131/2171933461340055193559432248\ 62116718*c_1100_10^7 + 8635773542089348701038322148190461858/108596\ 673067002759677971612431058359*c_1100_10^6 + 4062043415895686402737026986999211523/72397782044668506451981074954\ 038906*c_1100_10^5 + 1080398119136512716716758397300805727/36198891\ 022334253225990537477019453*c_1100_10^4 + 3180662251744650753435983411790951599/10859667306700275967797161243\ 1058359*c_1100_10^3 + 1112191679747257039736145624143667491/1085966\ 73067002759677971612431058359*c_1100_10^2 + 13997258910530011235137728761084948/1085966730670027596779716124310\ 58359*c_1100_10 - 20466487813274120439970304124456823/7239778204466\ 8506451981074954038906, c_0101_10 + 288411800526878349503356170274781525/2171933461340055193559\ 43224862116718*c_1100_10^11 + 104500073614838225670715518504580384/\ 108596673067002759677971612431058359*c_1100_10^10 + 1653755281679686421298144809336388061/21719334613400551935594322486\ 2116718*c_1100_10^9 + 1503907256846979924237633936934000461/7239778\ 2044668506451981074954038906*c_1100_10^8 + 2256021502804821722303598517757112779/21719334613400551935594322486\ 2116718*c_1100_10^7 + 4331333936091113593406761924837592029/2171933\ 46134005519355943224862116718*c_1100_10^6 + 1564699682232129574824854656858316197/72397782044668506451981074954\ 038906*c_1100_10^5 + 260534725849078940623307349905311185/361988910\ 22334253225990537477019453*c_1100_10^4 + 707453012408071257180414926748541711/108596673067002759677971612431\ 058359*c_1100_10^3 + 593355251609963436018783281978235355/108596673\ 067002759677971612431058359*c_1100_10^2 - 85832648721441903581392487345098249/2171933461340055193559432248621\ 16718*c_1100_10 - 27045144070119848484806711286744650/3619889102233\ 4253225990537477019453, c_0101_2 + 1386002319868780388398798533470541355/2171933461340055193559\ 43224862116718*c_1100_10^11 - 1271087301911862667292617940785731119\ /217193346134005519355943224862116718*c_1100_10^10 + 5341750049926782308764411668936592711/10859667306700275967797161243\ 1058359*c_1100_10^9 + 670891154375444758942832192488444813/36198891\ 022334253225990537477019453*c_1100_10^8 + 8819215652969453344834656118924249027/21719334613400551935594322486\ 2116718*c_1100_10^7 + 6000725144949901197243321864110238376/1085966\ 73067002759677971612431058359*c_1100_10^6 + 2669625656547192714661529809556079131/72397782044668506451981074954\ 038906*c_1100_10^5 + 700551951134205101422031221530626416/361988910\ 22334253225990537477019453*c_1100_10^4 + 2611754021292569222908124849232055211/10859667306700275967797161243\ 1058359*c_1100_10^3 + 690353941398152055353438234278546217/10859667\ 3067002759677971612431058359*c_1100_10^2 + 134028451301067565846081015040432924/108596673067002759677971612431\ 058359*c_1100_10 - 6350913380905287230654523565405851/7239778204466\ 8506451981074954038906, c_0101_5 - 539698106362084921055001777639391613/21719334613400551935594\ 3224862116718*c_1100_10^11 + 204895600063031002817963486778666278/1\ 08596673067002759677971612431058359*c_1100_10^10 - 2002512471160706091416739005592783524/10859667306700275967797161243\ 1058359*c_1100_10^9 - 763636555711014905537095280706918857/72397782\ 044668506451981074954038906*c_1100_10^8 - 1514863132522599417378173218890911092/10859667306700275967797161243\ 1058359*c_1100_10^7 - 2541094851233595113132006401223193239/1085966\ 73067002759677971612431058359*c_1100_10^6 - 961330503276970323129575019187245635/723977820446685064519810749540\ 38906*c_1100_10^5 - 282420722775145934409594621632709009/3619889102\ 2334253225990537477019453*c_1100_10^4 - 1005449354644359770139326822222481694/10859667306700275967797161243\ 1058359*c_1100_10^3 - 374139303544274267716702438363061284/10859667\ 3067002759677971612431058359*c_1100_10^2 - 115191087637523870973984611860353791/217193346134005519355943224862\ 116718*c_1100_10 - 51218829888282925709590255706313405/723977820446\ 68506451981074954038906, c_0101_6 - 471951779889031206013094238381891583/10859667306700275967797\ 1612431058359*c_1100_10^11 + 1577618927529387302533407901941097483/\ 217193346134005519355943224862116718*c_1100_10^10 - 7987098259748056988270176606447080133/21719334613400551935594322486\ 2116718*c_1100_10^9 + 429533226710147851630838155498001561/36198891\ 022334253225990537477019453*c_1100_10^8 - 2052031689061991847982093976539792144/10859667306700275967797161243\ 1058359*c_1100_10^7 - 5518148833791235470196623937371507061/2171933\ 46134005519355943224862116718*c_1100_10^6 + 80337252504451631124855833618247913/7239778204466850645198107495403\ 8906*c_1100_10^5 + 23425341050458065033937164611917852/361988910223\ 34253225990537477019453*c_1100_10^4 - 2800810233042979521736754921374380479/21719334613400551935594322486\ 2116718*c_1100_10^3 + 511190376403091978664080255999103032/10859667\ 3067002759677971612431058359*c_1100_10^2 + 148839896613160758967488818448478211/108596673067002759677971612431\ 058359*c_1100_10 - 84325329526663830378030907493351093/723977820446\ 68506451981074954038906, c_1001_0 - 102236402896183526439948456701505715/21719334613400551935594\ 3224862116718*c_1100_10^11 + 218154536273547828752443525904557798/1\ 08596673067002759677971612431058359*c_1100_10^10 - 547392255906443764476365531258473348/108596673067002759677971612431\ 058359*c_1100_10^9 + 699890458967868811658397308560494555/723977820\ 44668506451981074954038906*c_1100_10^8 + 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