Formats: - HTML - YAML - JSON - 2025-12-24T17:13:54.321884
Query: /api/lfunc_lfunctions/?_offset=0
Show schema

{'Lhash': 'dirichlet_L_11.7', 'a10': [-1.0, -1.4081532572346456e-30], 'a2': [-0.30901699437494745, -0.9510565162951535], 'a3': [-0.8090169943749475, -0.5877852522924731], 'a4': [-0.8090169943749475, 0.5877852522924731], 'a5': [0.30901699437494745, -0.9510565162951535], 'a6': [-0.30901699437494745, 0.9510565162951535], 'a7': [0.8090169943749475, -0.5877852522924731], 'a8': [0.8090169943749475, 0.5877852522924731], 'a9': [0.30901699437494745, 0.9510565162951535], 'algebraic': True, 'analytic_conductor': 1.1821141727408753, 'analytic_normalization': 0, 'bad_lfactors': [[11, [1]]], 'bad_primes': [11], 'central_character': '11.7', 'coeff_info': ['x^10 - 1', '0.809016994374947 + 0.587785252292473*I', '\\\\zeta_{10}'], 'conductor': 11, 'conductor_radical': 11, 'conjugate': 'dirichlet_L_11.8', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^7', 'a^6', 'a^4', 'a^8', 'a^3', 'a^9', 'a^1', 'a^2', 'a^5', 0, 'a^0', 'a^7', 'a^6', 'a^4', 'a^8', 'a^3', 'a^9', 'a^1', 'a^2', 'a^5', 0, 'a^0', 'a^7', 'a^6', 'a^4', 'a^8', 'a^3', 'a^9', 'a^1', 'a^2', 'a^5', 0, 'a^0', 'a^7', 'a^6', 'a^4', 'a^8', 'a^3', 'a^9', 'a^1', 'a^2', 'a^5', 0, 'a^0', 'a^7', 'a^6', 'a^4', 'a^8', 'a^3', 'a^9', 'a^1', 'a^2', 'a^5', 0, 'a^0', 'a^7', 'a^6', 'a^4', 'a^8', 'a^3', 'a^9', 'a^1', 'a^2', 'a^5', 0, 'a^0', 'a^7', 'a^6', 'a^4', 'a^8', 'a^3', 'a^9', 'a^1', 'a^2', 'a^5', 0, 'a^0', 'a^7', 'a^6', 'a^4', 'a^8', 'a^3', 'a^9', 'a^1', 'a^2', 'a^5', 0, 'a^0', 'a^7', 'a^6', 'a^4', 'a^8', 'a^3', 'a^9', 'a^1', 'a^2', 'a^5', 0, 'a^0'], 'euler_factors': [[1, 'a^7'], [1, 'a^6'], [1, 'a^8'], [1, 'a^9'], [0], [1, 'a^7'], [1, 'a^3'], [1, 'a^1'], [1, 'a^0'], [1, 'a^9'], [1, 'a^2'], [1, 'a^4'], [1, 'a^1'], [1, 'a^5'], [1, 'a^6'], [1, 'a^2'], [1, 'a^4'], [1, 'a^3'], [1, 'a^0'], [1, 'a^8'], [1, 'a^9'], [1, 'a^7'], [1, 'a^3'], [1, 'a^0'], [1, 'a^2'], [1, 'a^7']], 'gamma_factors': [[1], []], 'id': 23, 'index': 0, 'label': '1-11-11.7-r1-0-0', 'leading_term': '0.321416408191142635003319559409-0.689028181020421713652956351357*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [1], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/11/7', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [0.7603080571023868, 0.5871939246841378, 0.4137440339643566, 0.21810008418626495, -0.015276888746500366, -0.2924091191581155, -0.6086622860282542, -0.9485958824308205, -1.2865400918572059, -1.588168938754455, -1.8134163568998265, -1.920889852240114, -1.8736177043461317, -1.645599924579668, -1.228285223644927, -0.63583682942452, 0.09204615791744943, 0.8908537060926024, 1.6762438050543413, 2.353338997057034, 2.829581959572505, 3.029523899249643, 2.909184434682064, 2.467213674724424, 1.7501747558959395, 0.8499431749750129, -0.1075322828941896, -0.981202212065453, -1.638938633739083, -1.9824082316725535, -1.9677534934774399, -1.6171880158780674, -1.0179060089526775, -0.30704260879377443, 0.3555773746154432, 0.8221133036635269, 0.9916525333187012, 0.8372901196945596, 0.41807297134305965, -0.12869015096158334, -0.6149853011026611, -0.8448621744110284, -0.663423052006248, -0.00045364349365273885, 1.1028050093220898, 2.4921751741312828, 3.9271565452015005, 5.131446110672012, 5.85653301642756, 5.943095394526942, 5.364146608650287, 4.237377099633331, 2.8013954545663924, 1.3599403863277293, 0.2071774227579779, -0.44669605144648306, -0.5291634130610694, -0.12263392573111838, 0.5610771170486757, 1.2433276035692404, 1.661429471065159, 1.6478939072928278, 1.1822229251505092, 0.3984256312949333, -0.4558226009941575, -1.0976194529154566, -1.301682954949575, -0.9785157074728792, -0.21179920114689074, 0.7594644631898563, 1.6114660773078777, 2.0387717234466356, 1.8581721687262265, 1.0789097226537667, -0.08610666708282015, -1.2755655677281512, -2.087380784964732, -2.2063160794101604, -1.5106953340033256, -0.1219708609390494, 1.6219197108301868, 3.2639371816246223, 4.366643319315537, 4.6477121537658395, 4.067207825927007, 2.8365421606914745, 1.3449958420108983, 0.0280468496737934, -0.7774470292667038, -0.940675825383566, -0.5688273244006904, 0.047915679910801166, 0.5581802298357426, 0.6926785101156451, 0.3745172116963182, -0.24682597934638623, -0.8532738417879938, -1.0881041958364588, -0.7095542042266221, 0.29199704200281035, 1.6621269751776766, 2.9538262795926054, 3.68097212078007, 3.499297377278617, 2.3466400281705644, 0.4863826352749391, -1.5674964910682334, -3.220830060805663, -4.00462376704167, -3.739253120052173, -2.5947616414942196, -1.0228020700172105, 0.41524657141035376, 1.2587640170000198, 1.3158029983506347, 0.7231570290365602, -0.12443786277995579, -0.7467394845244253, -0.7815893307995289, -0.13605740911712966, 0.9773402593582279, 2.134411661826851, 2.8835347062638372, 2.9419183774079123, 2.319012461272141, 1.312006189778441, 0.3727163151039715, -0.09853144722313147, 0.05753308212035641, 0.6717183609212597, 1.3051134425489836, 1.435334994599227, 0.6944668378747361, -0.9436094713131569, -3.1117280961726745, -5.164030402181369, -6.416373575819083, -6.4164269464268475, -5.130970683300725, -2.9695734312163715, -0.6312631719550198, 1.1643239289506122, 1.9500038933828439, 1.674571741538977, 0.6900074555226733, -0.42795634164981466, -1.1436955939248548, -1.1915732323763764, -0.6702111119478301, 0.03769824485329571, 0.47823005437525107, 0.3681882175826681, -0.25125063508622014, -1.0254397939906432, -1.4598344520823288, -1.1753438961825553, -0.12208749201472373, 1.3564768668355254, 2.649298779797235, 3.143832232189589, 2.5131695645427, 0.8890751438434743, -1.1664927191295815, -2.887762458211581, -3.6330426804198295, -3.1670122610907114, -1.7669504456853184, -0.10067380861481022, 1.0714598024043407, 1.2358409327122173, 0.350916437024731, -1.1448266104255067, -2.544471600339506, -3.203297419768364, -2.8322399914424246, -1.6167418235867832, -0.10816445885197956, 1.0550548678115912, 1.4573310999523028, 1.0941371059976295, 0.3475738582882822, -0.23433605726680867, -0.23882028563463337, 0.3873003487439862, 1.3090175054820388, 1.989017109300819, 1.9945904086039585, 1.2651878336344613, 0.1942692968179739, -0.530422091004749, -0.26089210634868987, 1.2639319673646379, 3.7345953950059014, 6.354122039027543, 8.161966767829627, 8.452680383396864, 7.091601514548607, 4.5752640812933345, 1.8058922150201846, -0.31215618473352547, -1.2599529881337297, -1.0913900887219925, -0.3377394363162913, 0.3111337730873089, 0.37886179217935034, -0.16457326212095913, -0.9248140943762986, -1.3392445189870952, -1.0222972775785752, -0.008285302666371081, 1.2439163905617454, 2.090395616808059, 2.057526103585963, 1.1178533798028425, -0.27036790239682357, -1.3917639856861168, -1.6560447279470571, -0.9306541169357103, 0.3604550885082981, 1.4366904809679153, 1.5651809985192289, 0.46161616640888004, -1.5265751662863316, -3.560651531428503, -4.712617634445118, -4.427339888655653, -2.806889778605609, -0.5678150717500258, 1.309473291382326, 2.0598724114101685, 1.4953089224286389, 0.06585836779162185, -1.4035410257617662, -2.15386849605371, -1.8729429106553752, -0.8174017297524991, 0.37789482431461974, 1.0842198936253087, 1.0340212297501616, 0.44516183339895066, -0.15190120890148923, -0.2774103683209471, 0.16300835215646342, 0.7783629710257872, 0.899726287943517, -0.01214027631047183, -1.9904275532386224, -4.443887849482112, -6.387419608184765, -6.918496777154113, -5.691729188472081, -3.1322188562593305, -0.2607444093282453, 1.7893568227286887, 2.31543186565942, 1.36495666860864, -0.3340033449216056, -1.7870712891443563, -2.263287516946822, -1.6528180886758812, -0.46599104420529003, 0.5100668865589074, 0.6903129734419603, 0.02845912644375788, -0.978083602900189, -1.608786359602693, -1.3699892685578718, -0.30410439860720045, 1.027260891305266, 1.8771027235841407, 1.7645316659786772, 0.7716561979488711, -0.4977386777648368, -1.2807633263831573, -1.1273153825404278, -0.19645426048196554, 0.811663456746005, 1.0647754324580043, 0.11881798585757314, -1.7572830124600434, -3.6576138788040202, -4.49514508852177, -3.594563567293588, -1.091110215688511, 2.0951086259039915, 4.7051383411018355, 5.767490457523074, 5.063479733185517, 3.1826589592599155, 1.1524279658966432, -0.13524016051663687, -0.3703880233429574, 0.09863947153175603, 0.5773957211458646, 0.5144055497035414, -0.14189434568268885, -0.9356477664169468, -1.2395573145168837, -0.7109587396768094, 0.43288412257872344, 1.5095674873992482, 1.7920723084292949, 0.9985636007108751, -0.46234427008160334, -1.6666700647777253, -1.6921936133851159, -0.18233907911189845, 2.383289685806293, 4.890908960195811, 6.170765779565849, 5.628514339567066, 3.566711620106728, 1.0082496012313666, -0.8775990802161326, -1.414049075468567, -0.752194046544944, 0.28326619600984837, 0.732735044343982, 0.09403703613084016, -1.3869535483418918, -2.892818292310413, -3.556698240585431, -3.000359183560639, -1.5561609673213503, -0.04358527089928567, 0.7487663788531, 0.542478435463557, -0.29367041083149575, -1.0301956666902472, -1.0939544307805604, -0.47181444768009495, 0.27256307561489684, 0.39224933469693685, -0.48785359066358613, -2.0220693333087145, -3.2531090817267705, -3.146998459011456, -1.244369674812399, 1.9745349749323111, 5.257583861310321, 7.211464295783363, 7.041663579500664, 4.972782377276383, 2.1040411879832908, -0.21173835634781618, -1.0973294562577438, -0.5644902366362439, 0.6111334990916657, 1.4446984194396002, 1.36236371152164, 0.501081749483865, -0.47768856329520765, -0.9079474107101662, -0.6093725846797324, -0.014686889016317924, 0.1496029618573928, -0.5908906432178374, -2.0636654202066476, -3.489377447730269, -3.953190490940032, -3.0106609179246915, -1.0268559842773786, 0.9936564097538645, 2.0027046719040573, 1.563668179441916, 0.14507470219807533, -1.1506590776205954, -1.2705605773508901, 0.11457162023702502, 2.3715226037291504, 4.261975073917096, 4.683052286654152, 3.335096523501687, 0.9033917353994008, -1.3560365355445871, -2.3643253349844446, -1.8348775429371718, -0.3816186181163474, 0.9261565371928504, 1.2587790916674764, 0.5199042185151456, -0.6654401871911002, -1.4324325170299654, -1.2841078913855446, -0.40940967220843155, 0.4958238203218289, 0.7663049997740353, 0.27546352303287497, -0.45517547715901846, -0.6390030628220531, 0.1551216968936025, 1.5823182226201895, 2.62444801502459, 2.195624363969663, -0.11843476929489005, -3.6732102528951667, -7.014090411278501, -8.645532822139648, -7.865824535445482, -5.1568387491448835, -1.888389618450126, 0.4772741935221585, 1.1872227606132324, 0.520332564500847, -0.5382388015984463, -1.0226600930427492, -0.6199754631693352, 0.19617291964512734, 0.5892529497357375, 0.02105525811302577, -1.3208637641617602, -2.6275568924600217, -3.0274060236132123, -2.2031435409684854, -0.6290007879696253, 0.7462868893739504, 1.1563959540559048, 0.5561557008725444, -0.3429750308788566, -0.5808345769333216, 0.34232675734110796, 2.052011810238894, 3.489860445074687, 3.607781985281837, 2.1102803917276893, -0.2651047510823259, -2.1465972501702977, -2.372963721294315, -0.7438010563510599, 1.818411293171516, 3.8121627837796095, 4.065470667528905, 2.4309400396459124, -0.16817482826170388, -2.34993613188338, -3.127983312351214, -2.451485948819049, -1.1055078055265963, -0.08606139129136246, 0.0904870614702154, -0.33432554365745265, -0.6603194549139254, -0.3520919422638768, 0.4944946090231065, 1.2008230485363869, 1.0423588770542527, -0.12321345335665085, -1.6206224949206771, -2.3317255583303544, -1.4587746046982293, 0.8461766004166106, 3.449628789892732, 4.8751905221125575, 4.222693942189551, 1.7659099466564256, -1.1800409497613575, -3.053450447390681, -2.9938394990079997, -1.3295659528391088, 0.701582734275108, 1.7949802615630586, 1.412811755126586, 0.05943645460360048, -1.1573446492467552, -1.3452626575865003, -0.44510013841599216, 0.7744002123378135, 1.3158783615618794, 0.699823830766817, -0.6827220027464568, -1.8591696702149163, -1.9875657775054851, -0.9689958029835939, 0.4868050321624076, 1.3885689565492332, 1.1932451647164997, 0.19485740357779227, -0.7260079228589398, -0.8193316438650173, -0.11961823482002305, 0.4708296741262862, -0.2211086724321567, -2.749893921487654, -6.49723653948596, -9.881444446263629, -11.244753196336914, -9.858791669145567, -6.386889855666454, -2.4920280401987003, 0.15495177402279936, 0.8187604779746794, -0.005148036823263387, -1.0914087069032856, -1.3915100618480345, -0.7059187352631752, 0.3164748428977282, 0.7904057083381161, 0.3236916246453607, -0.688712454458446, -1.410971712442825, -1.2666827074232205, -0.43786200621703275, 0.24014636264822847, -0.07098116425303307, -1.502658954814869, -3.2652260248542895, -4.134647410523796, -3.3244029873624843, -1.1181134750186892, 1.2211105278190484, 2.245664683044843, 1.2935830521003278, -1.0422754045863367, -3.2888418543607982, -4.068315446491465, -3.0070431158074715, -0.9519003247616373, 0.6490406107509494, 0.7611341589500915, -0.5382733186842475, -2.156030713251374, -2.785537386185606, -1.8317683072380286, 0.19543606975574526, 2.0775763572514663, 2.760266186051151, 2.059865581462332, 0.7061793318678439, -0.273069839100733, -0.33558747464613414, 0.22206077915272346, 0.5941665402841606, 0.1995594531016463, -0.7754315820960597, -1.475620917943859, -1.0690381001126603, 0.49368731565768664, 2.266628521770353, 2.871911492357596, 1.4847493833252101, -1.4636235427402997, -4.4109226685607075, -5.592585329392422, -4.171696794957401, -0.8013727354488013, 2.7725059621026706, 4.802079172200529, 4.582883022463107, 2.7630890446709557, 0.7555894938983692, -0.28202428559375076, -0.1612478310696461, 0.40280022477078836, 0.5147981028948373, -0.11835504047078743, -0.956597924638619, -1.1076103025606328, -0.1186020760201787, 1.564711298294847, 2.8557309880627146, 2.8229502635298966, 1.4148767841753327, -0.4597299595826155, -1.5860871663648686, -1.3539683709230221, -0.23069293588214299, 0.5852374040106729, 0.09545494033477984, -1.6745771812712393, -3.59831963829226, -4.215683864431125, -2.8101596540140013, -0.007389328823792498, 2.56657124259075, 3.3531218860900656, 1.9091136928915602, -0.8054992915308221, -3.0982601280684836, -3.6873819066286373, -2.5065074023778364, -0.6259134109255964, 0.6025821796089343, 0.5173834930366624, -0.4727567558513321, -1.3327558668535995, -1.273482341895457, -0.3538454436552159, 0.6415649240120324, 0.9141703085303031, 0.34793053410058583, -0.3951587225404358, -0.4745583307374721, 0.31789900541232596, 1.2214448774333224, 0.9828000123646736, -1.1569005711381903, -4.706646427144936, -8.025480643538968, -9.290841322738894, -7.692419531347804, -4.005575889170511, -0.11685509184075328, 2.1820956613584883, 2.292803088024079, 1.046471773678376, -0.04425917097459222, 0.0667770229654198, 1.2590991422375535, 2.472195042271536, 2.628194113415953, 1.5089341650940509, -0.0864200686836762, -0.9972970984621246, -0.6299978096165616, 0.5824641825062951, 1.5464623762899605, 1.398374406189164, 0.20353469715355288, -1.0974370482702267, -1.4537621952705877, -0.5671279097215453, 0.8492408453928862, 1.6413117080401889, 1.1731861879958934, -0.09894570795474115, -0.9320908603190305, -0.2884352579499828, 1.7421153518302162, 3.835407566187243, 4.29221453168103, 2.272278013271009, -1.504166738072298, -5.132261262154125, -6.738910144976674, -5.685034934366481, -2.9098182049331425, -0.20370288850329396, 1.0282544996516079, 0.6114777841894967, -0.5082403648713012, -1.154360422642549], 'positive_zeros': ['1.23118824094644557330126632913', '4.9627151638056233330962205550', '8.08939114538406115212311784238', '10.4500536382022332221178893649', '12.11506980690332170753638554345', '13.437657526437096729270089409681', '16.94978978223110727613037943840', '17.87481329763534279900237596385', '19.83012856053316642706724002179', '21.32039371631114630973784591369', '23.103365240819911054545433311199', '24.71060202237696255086224193381', '27.19549761157675669135899555136', '28.41349834370446234328316226414', '29.57219606296392511801120043627', '30.86131192335796380131399489359', '32.88578028689798316267070256069', '34.89957117724815985971476450101', '36.20301087650878318423744955110', '37.23130886007165567642745472163', '39.57532585824936030442348526707', '39.955595985887364149097406429137', '41.40118442396643591924427168519', '43.84491852037660538321332748361', '45.18664587132294167255369395899', '46.54440258236878775117248976560', '47.39360411799000424751614799093', '48.77780918770642709608994607281', '50.449050756642499589196601382278', '52.208222571085775717059088314073', '53.20505394016815287970369478136', '55.02382882074162560568950866800', '56.408176043323375756573766409768', '57.027080494321676693273944165627', '58.811802045887291931552796187462', '59.45194790264391896794364801832', '62.12960336856106019295252289799', '63.26364613836846546795035578848', '63.99018729275362098838635673514', '65.314592957151190108368482005361', '66.814615905114513809843163008314', '68.04117697305395088023251323550', '69.1440888342383701598024919764', '71.019725330983720308326096270550', '72.20038448971175540832127867201', '73.64386364511451442798859921460', '74.90310820999988866856774560175', '75.539063168575579833899799006552', '76.5599519284082935793040671798', '78.78152287619234617527128903073', '79.94056511617208111677928449210', '81.377399646222264756701220792080', '82.19680496046086600482240969554', '83.50800157166669914695201044225', '84.87312099085661315690571697281', '85.99240790324783246732751368285', '86.89886398353967972212910849141', '88.54592099936347153073826800718', '90.574855148267811923136272197575', '91.19782672600667409337353559962', '92.13302735788915406362581474854', '93.3283451097590762384151395651', '94.593031242870806616255293693054', '95.650555082821268464371123996861', '97.64355979644195860737205422451', '98.65786204059622033596954299123', '99.39956159928223638174364967157', '101.26098734592195366572165532677', '102.0874678391404764922581372987', '103.308149400786165988907968170617', '103.93091325302996839247791569270', '105.443046513361745216375909393180', '107.46256127782996739924168479374', '108.27929256128123915195709863946', '109.52445209811028985533370695280', '110.63434507976768569056782109588', '111.04687773900917077053553899543', '112.96094410802540731360216714887', '114.09165197071648897575441842583', '114.98183029777556771196925085210', '116.675281819241523017527043687799', '117.890480257233594879483065172035', '118.88761464746390694672901324817', '120.127075760437179338458624899440', '121.04942042170849994878993377753', '121.83427051177915564911831911571', '123.11307366343779269249290055452', '125.229854273132212734274916773766', '126.085273864491970159164155149247', '127.10967536300844660419167283423', '127.81871097729780070108145497195', '129.50011892542045582691768926985', '130.495963974031986876757887686214', '131.169882045974678278897288736720', '132.77791956121185856817250034294', '133.844768529419027544345034649639', '135.292504388906551993885403904793', '136.92407336272534579784792381850', '137.27970411760237349204510696066', '138.26789459394338454882465747983', '139.34909455973136410417741471659', '140.52416852437607279615681006285', '142.05732396532152176829399053207', '143.321944399068316282049646601209', '144.38758017025937109750099295975', '145.42196478158584281899908297113', '146.41711312679496406273239621960', '147.70477831264925425135514499678', '148.80487145946410450215949736964', '149.7321688856061101395832151161', '150.265228200680807915829065969588', '152.78503172006531285905150036110', '153.43613073665945533699491848667', '154.58426317207261200860729200788', '155.41924972792346633836612139490', '156.72674550752160092273227293551', '157.16236046673460817171352908509', '158.889049604880084759188822994644', '159.87165710303246752605870937365', '161.40793950240818415093737911776', '162.08298506539882677709796347147', '163.40949266923631556680537486857', '164.88216356172128429491163768651', '165.51376526445458600115938048616', '166.322849226158570323234085829943', '167.41623700500285773754358660707', '168.60677740808459690773977479497', '170.06571078855324397539989509455', '171.74314786219722347544237782601', '172.27770162351630634749657875781', '173.08207285460480984459637714069', '174.08698990644251055115232926236', '175.54390305559370807494172116569', '176.625420631730645806721452742220', '177.21062791268237326412855016421', '178.75077099135430546678736640071', '179.91108177583573046101831209959', '181.37402489641830021744058867120', '182.0537033230409579216412241079', '183.224318322228157588747483393950', '184.19506452767635077541559239405', '184.90062097702886663296704917033', '185.8027224613651636611068213019', '187.82360455729715636507212672172', '189.04026589427224221704197443047', '189.34593916251725570967965940351', '190.91885627242775545378427354087', '191.73523820711325776692367140420', '192.8563418784565250257936802796', '193.87482780866639801931218104382', '194.97616234851231242638949590303', '195.68133676894622418404786986729', '197.071179287208998340705833142567', '198.78130413995270635987946706303', '199.546829163943098347953175040517'], 'prelabel': '1-11-11.7-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1821141727408753, 'root_angle': -0.361066607032565, 'root_number': '-0.642573377564283196997520906073-0.766224154177894049847345090434*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.361066607033', 'prec': 50}, 'spectral_label': 'r1-0', 'st_group': 'mu(10)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.542294426323044074348974492088-0.530500873466665812031440489998*I']], 'z1': {'__RealLiteral__': 0, 'data': '1.23118824095', 'prec': 44}, 'z2': {'__RealLiteral__': 0, 'data': '4.96271516381', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '8.08939114538', 'prec': 44}}