Magma V2.19-8 Wed Aug 21 2013 00:45:07 on localhost [Seed = 2295242592] Type ? for help. Type -D to quit. Loading file "K14n6367__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6367 geometric_solution 12.37828840 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.297942313624 0.947316273384 0 4 6 5 0132 0132 0132 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 0 0 1 0 -1 0 0 0 0 0 -1 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436266912840 0.587506947471 0 0 8 7 3012 0132 0132 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 -1 1 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 0.504970986250 0.681378812802 5 5 9 0 0213 0321 0132 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 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 0.444611722778 0.705002985006 6 1 8 10 0321 0132 1023 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 0 0 0 1 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732180179038 0.630982921716 3 11 1 3 0213 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116378982579 0.838885273382 4 12 9 1 0321 0132 0213 0132 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 0 0 -1 1 5 1 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205826023915 1.329225673296 10 12 2 9 1230 1230 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557101070621 0.726896914022 11 12 4 2 3012 1023 1023 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 1 -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 0.478567668812 1.283776456915 7 6 10 3 3120 0213 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735000950041 0.857606831119 11 7 4 9 0132 3012 0132 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 0.285985330031 0.824497336186 10 5 12 8 0132 0132 1230 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.442448103731 0.788686867527 8 6 7 11 1023 0132 3012 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.851553879504 1.255635330096 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0101_7']), '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_11'], 'c_0101_10' : d['c_0011_12'], '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_7'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_9']), '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' : negation(d['c_1001_0']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_2'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], '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_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_12, c_0011_3, c_0011_7, c_0011_9, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_0101_9, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 147376934749843294407563572987072948039473761/192383208838778873869\ 01160367022079511889356988*c_1001_3^15 + 167473931799913159955830854424041332775242857/480958022096947184672\ 5290091755519877972339247*c_1001_3^14 - 317328752513157025089086277694625457568436525/192383208838778873869\ 01160367022079511889356988*c_1001_3^13 - 10242986482776736671814903164782395535615144097/1923832088387788738\ 6901160367022079511889356988*c_1001_3^12 - 11834059360201433122069225505735574920005531897/9619160441938943693\ 450580183511039755944678494*c_1001_3^11 - 12771570622494715196847050036791123494033864145/1923832088387788738\ 6901160367022079511889356988*c_1001_3^10 + 28317959328953409111455318186007514992450348366/4809580220969471846\ 725290091755519877972339247*c_1001_3^9 + 82007065602017708892904627795294178473284695637/4809580220969471846\ 725290091755519877972339247*c_1001_3^8 + 557995199033781948280282619771876780202354878737/192383208838778873\ 86901160367022079511889356988*c_1001_3^7 + 83348231422869811901525705414430873799445303856/4809580220969471846\ 725290091755519877972339247*c_1001_3^6 + 173154392256821936605189670925742225732924837953/192383208838778873\ 86901160367022079511889356988*c_1001_3^5 - 642200865929055261891730273032222134379554983271/192383208838778873\ 86901160367022079511889356988*c_1001_3^4 + 17032532481084015005882744080393316619687099517/6205909962541253995\ 77456786032970306835140548*c_1001_3^3 + 1010468911755175837686164044312594260819016656383/19238320883877887\ 386901160367022079511889356988*c_1001_3^2 + 681740436129703760913840334921014949924046501745/480958022096947184\ 6725290091755519877972339247*c_1001_3 + 2487341591856992130482511893221005904734712318619/19238320883877887\ 386901160367022079511889356988, c_0011_0 - 1, c_0011_10 + 2645788973003205901072147182/287988641861266994012749992892\ 07*c_1001_3^15 + 8805952243850578614857228743/287988641861266994012\ 74999289207*c_1001_3^14 - 16509823002277893915469395352/28798864186\ 126699401274999289207*c_1001_3^13 - 156716866393549540763220945109/28798864186126699401274999289207*c_1\ 001_3^12 - 201596992451425272849811858088/2879886418612669940127499\ 9289207*c_1001_3^11 - 14669487088962923802957338240/287988641861266\ 99401274999289207*c_1001_3^10 + 1497127700156104032374204908242/287\ 98864186126699401274999289207*c_1001_3^9 + 3098984260334610501938098950266/28798864186126699401274999289207*c_\ 1001_3^8 + 6803297715214772701107699176720/287988641861266994012749\ 99289207*c_1001_3^7 + 4388515011443814289637632319034/2879886418612\ 6699401274999289207*c_1001_3^6 + 9718949302324475638909425649014/28\ 798864186126699401274999289207*c_1001_3^5 - 10260902526397977956452789597362/28798864186126699401274999289207*c\ _1001_3^4 + 20451469061507932316754414946146/2879886418612669940127\ 4999289207*c_1001_3^3 - 222139609024058994155292218327/287988641861\ 26699401274999289207*c_1001_3^2 + 47003340108544059749758704074418/\ 28798864186126699401274999289207*c_1001_3 + 22444667349720298336342824674326/28798864186126699401274999289207, c_0011_12 + 5667699402973495005571442114413/570793488169031182133270485\ 91208274*c_1001_3^15 + 9225659329476469186872044159159/285396744084\ 51559106663524295604137*c_1001_3^14 - 40845538816637106219736224167071/5707934881690311821332704859120827\ 4*c_1001_3^13 - 356066518602586967763420483854639/57079348816903118\ 213327048591208274*c_1001_3^12 - 200927140109336621941318633313025/\ 28539674408451559106663524295604137*c_1001_3^11 + 377856992579484814434034076269457/570793488169031182133270485912082\ 74*c_1001_3^10 + 2071043640195118618293427323859163/285396744084515\ 59106663524295604137*c_1001_3^9 + 305563416302698735478656048955975\ 2/28539674408451559106663524295604137*c_1001_3^8 + 8311326388681819607947751281110531/57079348816903118213327048591208\ 274*c_1001_3^7 - 1595426814316198362269397245479052/285396744084515\ 59106663524295604137*c_1001_3^6 + 127854297318221938296920387810737\ 21/57079348816903118213327048591208274*c_1001_3^5 - 18088326750579935763765063621582717/5707934881690311821332704859120\ 8274*c_1001_3^4 + 62042659823940283777277252282737591/5707934881690\ 3118213327048591208274*c_1001_3^3 - 11086793211617742464007214059212685/5707934881690311821332704859120\ 8274*c_1001_3^2 + 69645804657330033097546276932126351/2853967440845\ 1559106663524295604137*c_1001_3 + 150043050179925034456055389447145\ 97/57079348816903118213327048591208274, c_0011_3 - 9355324117617888655830704758/2879886418612669940127499928920\ 7*c_1001_3^15 - 33674399360364380035122992192/287988641861266994012\ 74999289207*c_1001_3^14 + 57417886404899711667656688356/28798864186\ 126699401274999289207*c_1001_3^13 + 611808497589776927787111787241/28798864186126699401274999289207*c_1\ 001_3^12 + 870520009436503093314956917300/2879886418612669940127499\ 9289207*c_1001_3^11 - 350904645857462150533878225995/28798864186126\ 699401274999289207*c_1001_3^10 - 7021216233359549933026409038270/28\ 798864186126699401274999289207*c_1001_3^9 - 13365585323219227877239315727428/28798864186126699401274999289207*c\ _1001_3^8 - 19507020245036734314365084212666/2879886418612669940127\ 4999289207*c_1001_3^7 + 1085316651923324839358428616535/28798864186\ 126699401274999289207*c_1001_3^6 - 7859546087859113037245363229744/28798864186126699401274999289207*c_\ 1001_3^5 + 43452689498828919864952291383228/28798864186126699401274\ 999289207*c_1001_3^4 - 66925552322046930909826514325584/28798864186\ 126699401274999289207*c_1001_3^3 - 9869538021960737224570639601087/28798864186126699401274999289207*c_\ 1001_3^2 - 129676582502640314409374881066818/2879886418612669940127\ 4999289207*c_1001_3 - 21715301733026267180504477088772/287988641861\ 26699401274999289207, c_0011_7 + 113682618550179814767782726767285/13128250227887717189065221\ 17597790302*c_1001_3^15 + 484657095957568924750112815618193/1312825\ 022788771718906522117597790302*c_1001_3^14 - 235185304719094600160075688011878/656412511394385859453261058798895\ 151*c_1001_3^13 - 8018516953834237631940409450799491/13128250227887\ 71718906522117597790302*c_1001_3^12 - 14707322232679344107914161704283235/1312825022788771718906522117597\ 790302*c_1001_3^11 + 527394602035254359090852982436998/656412511394\ 385859453261058798895151*c_1001_3^10 + 42933496590445478462023714997439523/6564125113943858594532610587988\ 95151*c_1001_3^9 + 94245406537823003712547430540373872/656412511394\ 385859453261058798895151*c_1001_3^8 + 296028560722415564281666642151958769/131282502278877171890652211759\ 7790302*c_1001_3^7 + 161394541360722400148014968120651771/131282502\ 2788771718906522117597790302*c_1001_3^6 + 164068661194607429000185571065881753/656412511394385859453261058798\ 895151*c_1001_3^5 + 42626231559682433710633073713369565/13128250227\ 88771718906522117597790302*c_1001_3^4 + 458214213763845490880391586428811377/656412511394385859453261058798\ 895151*c_1001_3^3 + 547898494586391428797904692193488897/1312825022\ 788771718906522117597790302*c_1001_3^2 + 515278967571800904146589425012946531/131282502278877171890652211759\ 7790302*c_1001_3 - 90854148429416552474983084698304750/656412511394\ 385859453261058798895151, c_0011_9 + 141159373915641296404217362923183/13128250227887717189065221\ 17597790302*c_1001_3^15 + 222427045460905339394759092154370/6564125\ 11394385859453261058798895151*c_1001_3^14 - 1037211692102465364064794095554457/13128250227887717189065221175977\ 90302*c_1001_3^13 - 8861938668868031419367428826920309/131282502278\ 8771718906522117597790302*c_1001_3^12 - 4967381556636428086037226206677459/65641251139438585945326105879889\ 5151*c_1001_3^11 + 10499078346295865457354633321819879/131282502278\ 8771718906522117597790302*c_1001_3^10 + 56712841169338555594786630119021769/6564125113943858594532610587988\ 95151*c_1001_3^9 + 75674366750096938453240370934124574/656412511394\ 385859453261058798895151*c_1001_3^8 + 171576640500946166987898325604419133/131282502278877171890652211759\ 7790302*c_1001_3^7 - 94528234215766526946138384850234003/6564125113\ 94385859453261058798895151*c_1001_3^6 + 273620070299502816972922612753021887/131282502278877171890652211759\ 7790302*c_1001_3^5 - 575832099676516714678520753590614621/131282502\ 2788771718906522117597790302*c_1001_3^4 + 1703964868842705785696629952433005665/13128250227887717189065221175\ 97790302*c_1001_3^3 - 1281998283477618997546162609870339353/1312825\ 022788771718906522117597790302*c_1001_3^2 + 1757022383085183061094450992185974921/65641251139438585945326105879\ 8895151*c_1001_3 - 759768095703297628885336446211834209/13128250227\ 88771718906522117597790302, c_0101_11 - 42747334172286370125458155084969/13128250227887717189065221\ 17597790302*c_1001_3^15 - 126343520363097393190589356779714/6564125\ 11394385859453261058798895151*c_1001_3^14 - 64534770284507040101465217376969/1312825022788771718906522117597790\ 302*c_1001_3^13 + 3864314689024595945092236648173807/13128250227887\ 71718906522117597790302*c_1001_3^12 + 5689514541309500433379174728898170/65641251139438585945326105879889\ 5151*c_1001_3^11 + 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309425303126515604167451791493621949/1312825022\ 788771718906522117597790302*c_1001_3^2 + 3123020223095207946660920446561875007/13128250227887717189065221175\ 97790302*c_1001_3 + 250545760956586566031564206719012484/6564125113\ 94385859453261058798895151, c_1001_3^16 + 4*c_1001_3^15 - 4*c_1001_3^14 - 66*c_1001_3^13 - 126*c_1001_3^12 - 40*c_1001_3^11 + 749*c_1001_3^10 + 1806*c_1001_3^9 + 3059*c_1001_3^8 + 1194*c_1001_3^7 + 1504*c_1001_3^6 - 4894*c_1001_3^5 + 6643*c_1001_3^4 + 1460*c_1001_3^3 + 20100*c_1001_3^2 + 6368*c_1001_3 + 3193 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.510 Total time: 7.719 seconds, Total memory usage: 32.09MB