Magma V2.19-8 Tue Aug 20 2013 23:56:52 on localhost [Seed = 1831536016] Type ? for help. Type -D to quit. Loading file "L14n24900__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24900 geometric_solution 11.33027282 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 -2 1 1 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 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708845087461 0.636924549308 0 3 6 5 0132 1230 0132 0132 1 1 0 1 0 0 0 0 1 0 -1 0 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 1 0 -1 0 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593655696032 1.298669094547 7 0 5 8 0132 0132 1230 0132 1 0 0 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996676708492 0.741128088115 8 9 1 0 0213 0132 3012 0132 1 1 0 0 0 0 0 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 -1 0 1 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 0.625404910279 1.216372403731 10 6 0 8 0132 1230 0132 0213 1 1 0 1 0 0 0 0 1 0 0 -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 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 0.718334697258 0.900242865332 10 11 1 2 2103 0132 0132 3012 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545033515714 1.097374772019 10 9 4 1 3120 1302 3012 0132 1 1 1 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 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 0.458449956921 0.678689981652 2 10 11 11 0132 3120 3201 1302 0 0 1 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 -2 0 2 0 0 0 0 0 1 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581876784325 0.347513570523 3 9 2 4 0213 0213 0132 0213 1 0 1 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 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 0.268401415808 1.054664495398 11 3 8 6 3012 0132 0213 2031 1 1 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 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 0.444051438384 0.640139683583 4 7 5 6 0132 3120 2103 3120 0 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165185314340 0.602741531337 7 5 7 9 2310 0132 2031 1230 1 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 1 -1 2 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 0.456153304454 0.469637736475 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0011_0']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1001_1']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : negation(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'], 's_1_7' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], '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_8'], 'c_0101_8' : d['c_0011_3'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0101_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_0101_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4484775977751199282031344/37014091740816015234825*c_1001_2^11 - 1449804057824696752830788/12338030580272005078275*c_1001_2^10 - 13064595015403194071285443/74028183481632030469650*c_1001_2^9 - 2820157690750997010464114/37014091740816015234825*c_1001_2^8 + 37485238438883965453934287/74028183481632030469650*c_1001_2^7 - 4437417292404088488074393/12338030580272005078275*c_1001_2^6 + 2882608270190081321685431/5694475652433233113050*c_1001_2^5 - 75503198287204520958997607/74028183481632030469650*c_1001_2^4 + 626033935001959411654138/649370030540631846225*c_1001_2^3 - 8290541445187195698478271/12338030580272005078275*c_1001_2^2 + 1702846597446891416038577/4112676860090668359425*c_1001_2 - 9311096322616291299430541/74028183481632030469650, c_0011_0 - 1, c_0011_10 + 11592069686736449104265/227779026097329324522*c_1001_2^11 - 1158227764934100870173/227779026097329324522*c_1001_2^10 - 6169729364703991221469/113889513048664662261*c_1001_2^9 - 7740060725436335056966/113889513048664662261*c_1001_2^8 + 10075024669844032139911/75926342032443108174*c_1001_2^7 - 6099969196328867201621/75926342032443108174*c_1001_2^6 + 20898788073805680491527/113889513048664662261*c_1001_2^5 - 32093441762648473066316/113889513048664662261*c_1001_2^4 + 2853325793839297880683/11988369794596280238*c_1001_2^3 - 38269315347791574023377/227779026097329324522*c_1001_2^2 + 19745956290490291533457/227779026097329324522*c_1001_2 - 252331459895173830800/12654390338740518029, c_0011_11 - 1893595452813110948234/113889513048664662261*c_1001_2^11 - 1244363770484501575049/227779026097329324522*c_1001_2^10 + 1760513038919210824988/113889513048664662261*c_1001_2^9 + 6850318059547699497991/227779026097329324522*c_1001_2^8 - 2221251282795113721017/75926342032443108174*c_1001_2^7 + 966878460392580072415/75926342032443108174*c_1001_2^6 - 6425084669458909173719/113889513048664662261*c_1001_2^5 + 15865881724588447522145/227779026097329324522*c_1001_2^4 - 285433830988240845601/5994184897298140119*c_1001_2^3 + 8385997096574041067969/227779026097329324522*c_1001_2^2 - 1757884042896428001097/113889513048664662261*c_1001_2 + 31210589887940831881/25308780677481036058, c_0011_3 - 131638690142148403897/25308780677481036058*c_1001_2^11 - 270698821315025065207/25308780677481036058*c_1001_2^10 + 8565767254361609821/25308780677481036058*c_1001_2^9 + 204751322235579937884/12654390338740518029*c_1001_2^8 + 67222553294311609122/12654390338740518029*c_1001_2^7 - 315186998100250869973/25308780677481036058*c_1001_2^6 - 325518443893779699807/25308780677481036058*c_1001_2^5 - 129087736873576816223/25308780677481036058*c_1001_2^4 + 24530649717117767651/1332041088288475582*c_1001_2^3 - 303902323411655495791/25308780677481036058*c_1001_2^2 + 250785691182481515035/25308780677481036058*c_1001_2 - 143074134004000311689/25308780677481036058, c_0011_8 - 207667899657586511433/25308780677481036058*c_1001_2^11 - 139781972562063852447/25308780677481036058*c_1001_2^10 + 155300333314897776651/25308780677481036058*c_1001_2^9 + 424554751350300892843/25308780677481036058*c_1001_2^8 - 245342085434888809683/25308780677481036058*c_1001_2^7 + 57092543057635971349/25308780677481036058*c_1001_2^6 - 325503703367179830204/12654390338740518029*c_1001_2^5 + 309576953209420192622/12654390338740518029*c_1001_2^4 - 19161793003976559121/1332041088288475582*c_1001_2^3 + 143406480294426552965/12654390338740518029*c_1001_2^2 - 85836030954718306995/25308780677481036058*c_1001_2 - 21719644332733961471/25308780677481036058, c_0101_0 - 7924139257579/290269911402*c_1001_2^11 - 1305670286089/145134955701*c_1001_2^10 + 6466578885421/290269911402*c_1001_2^9 + 6458016106352/145134955701*c_1001_2^8 - 4876101748547/96756637134*c_1001_2^7 + 1249133087714/48378318567*c_1001_2^6 - 26560740878539/290269911402*c_1001_2^5 + 16734840144802/145134955701*c_1001_2^4 - 1325518147661/15277363758*c_1001_2^3 + 9074040301453/145134955701*c_1001_2^2 - 4057530921160/145134955701*c_1001_2 + 117824578887/32252212378, c_0101_1 - 1, c_0101_2 + 6404791678222674242369/113889513048664662261*c_1001_2^11 - 2051833628265316930478/113889513048664662261*c_1001_2^10 - 7360476651077513250188/113889513048664662261*c_1001_2^9 - 14657210312274551204983/227779026097329324522*c_1001_2^8 + 6405897739884145148560/37963171016221554087*c_1001_2^7 - 4175677907036897331080/37963171016221554087*c_1001_2^6 + 24162911027940456926813/113889513048664662261*c_1001_2^5 - 40143848038509835713532/113889513048664662261*c_1001_2^4 + 1868813633080111223659/5994184897298140119*c_1001_2^3 - 25157085262799158697293/113889513048664662261*c_1001_2^2 + 27772119475861528089629/227779026097329324522*c_1001_2 - 790699656111250549967/25308780677481036058, c_0101_6 + 5171449695181042859807/113889513048664662261*c_1001_2^11 - 319682806129301022289/227779026097329324522*c_1001_2^10 - 10331327317283987647339/227779026097329324522*c_1001_2^9 - 13821014172732873254719/227779026097329324522*c_1001_2^8 + 8680950253273676745911/75926342032443108174*c_1001_2^7 - 2590174528606107514667/37963171016221554087*c_1001_2^6 + 36648284529182048344711/227779026097329324522*c_1001_2^5 - 55451017835121156234869/227779026097329324522*c_1001_2^4 + 2451477116465293906217/11988369794596280238*c_1001_2^3 - 32567946331213831225289/227779026097329324522*c_1001_2^2 + 17000837849330705755073/227779026097329324522*c_1001_2 - 209082513453868108508/12654390338740518029, c_1001_0 + 771104625548336881963/113889513048664662261*c_1001_2^11 + 322926364480349395568/113889513048664662261*c_1001_2^10 - 540904068325869975493/113889513048664662261*c_1001_2^9 - 2541203772749753709851/227779026097329324522*c_1001_2^8 + 426250701842140246742/37963171016221554087*c_1001_2^7 - 259967540670054174238/37963171016221554087*c_1001_2^6 + 2449332220633754831305/113889513048664662261*c_1001_2^5 - 3173481876280125978140/113889513048664662261*c_1001_2^4 + 132502575573774074642/5994184897298140119*c_1001_2^3 - 1719561646268929837799/113889513048664662261*c_1001_2^2 + 1597676163758539691077/227779026097329324522*c_1001_2 - 43867991595807318273/25308780677481036058, c_1001_1 - 3002286341604037604195/113889513048664662261*c_1001_2^11 - 8770560895008060964/113889513048664662261*c_1001_2^10 + 3058982715223093050614/113889513048664662261*c_1001_2^9 + 4198625974880625095834/113889513048664662261*c_1001_2^8 - 2463223849971003112939/37963171016221554087*c_1001_2^7 + 1385817822364456802381/37963171016221554087*c_1001_2^6 - 10572344868503975416913/113889513048664662261*c_1001_2^5 + 15620779466063196677464/113889513048664662261*c_1001_2^4 - 671196413902222972534/5994184897298140119*c_1001_2^3 + 9000622166094992932444/113889513048664662261*c_1001_2^2 - 4549597897806240978118/113889513048664662261*c_1001_2 + 98159753406658010757/12654390338740518029, c_1001_2^12 - 206/233*c_1001_2^11 - 215/233*c_1001_2^10 - 110/233*c_1001_2^9 + 840/233*c_1001_2^8 - 870/233*c_1001_2^7 + 1151/233*c_1001_2^6 - 1960/233*c_1001_2^5 + 2149/233*c_1001_2^4 - 1678/233*c_1001_2^3 + 1042/233*c_1001_2^2 - 432/233*c_1001_2 + 81/233 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB