{'Lhash': '151339347791057320766764353256', 'a10': [1.3084249363243365, 1.8132909821660328], 'a2': [0.07133918319923234, -0.9974521146102535], 'a3': [-0.3784764412499075, 0.08233251021412093], 'a4': [-0.9898214418809327, -0.14231483827328514], 'a5': [-1.7153289583303273, 1.4344499171157543], 'a6': [0.05512253623532458, 0.38338566068430147], 'a7': [-2.634082482731892, 1.4383178540125872], 'a8': [-0.21256528955297668, 0.9771468659711595], 'a9': [-2.5924302117205187, 1.183923208075635], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.07133918319923234, 0.9974521146102535]]], [5, [[1.0, 0], [1.7153289583303273, -1.4344499171157543]]], [23, [[1.0, 0], [-3.3901696990067816, 3.3921599920900354]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.217', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': '3647634393101698249363819716012', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.07133918319923234, 0.9974521146102535]], [[1.0, 0], [0.3784764412499075, -0.08233251021412093], [2.7288959860635553, -1.2462450390056592]], [[1.0, 0], [1.7153289583303273, -1.4344499171157543]], [[1.0, 0], [2.634082482731892, -1.4383178540125872], [3.784485722189183, -5.888774729818268]], [[1.0, 0], [4.701584665024324, 4.0739463030124], [1.5654632210061366, 10.88803586069026]], [[1.0, 0], [-1.1361317851288415, 2.0806700166683783], [-7.028330626922768, -10.936295926805355]], [[1.0, 0], [-3.3852964234843905, -2.5342011596709484], [4.7894534663043045, 16.311380551446454]], [[1.0, 0], [0.8949534415395243, -6.224537909531832], [-18.23036649867545, -5.352918579987164]], [[1.0, 0], [-3.3901696990067816, 3.3921599920900354]], [[1.0, 0], [5.284567986497681, -0.7598061695990878], [27.825296234820424, -8.170244148401462]], [[1.0, 0], [1.8784803098023546, -1.2072259914890504], [12.877865403058479, -28.19859185599007]], [[1.0, 0], [-1.651913560204551, -0.6161319030064883], [27.962734251107555, 24.22984715597555]], [[1.0, 0], [3.35677955399503, -7.350321938537844], [-26.84929009175669, -30.985732548524588]], [[1.0, 0], [-0.4163465561714482, -1.91391423019431], [-39.11417580024429, 17.862845559081116]], [[1.0, 0], [6.397583383011489, 6.397583383011489], [0, 47.0]], [[1.0, 0], [0.22124287187588904, 0.40517606842727527], [-28.653963325146673, 44.586437240052604]], [[1.0, 0], [3.3524217293095053, 11.417299902884412], [-49.63395843703969, 31.89780822988026]], [[1.0, 0], [-3.3723934277851133, -5.2475466032563975], [-25.34031579311507, 55.48755171662562]], [[1.0, 0], [14.310773862171937, 1.0235267471212746], [66.31803660602249, 9.535094164310104]], [[1.0, 0], [-0.15365556619136994, -0.17732797635717287], [-10.104353517403245, 70.27732237354623]], [[1.0, 0], [-6.663180096903178, -8.900966549162016], [-20.566476649424366, 70.04298707385831]], [[1.0, 0], [9.476296703685204, -2.7824917671464915], [66.45902909366332, -42.71062457899221]], [[1.0, 0], [2.55052779767404, -6.8382296616963645], [-62.72721467140344, -54.35344091745866]], [[1.0, 0], [3.9685642924108198, 2.550441406116084], [36.97193615716789, 80.95724758655213]], [[1.0, 0], [-5.505210690183011, -14.760041066726913], [-73.30770871236305, 63.52149119269265]], [[1.0, 0], [7.4625562733130435, 16.34071889767811], [-66.14093412847379, 76.33070700978008]], [[1.0, 0], [-0.5160761503808631, 0.03691049474706934], [101.95160851373608, -14.658428342148369]], [[1.0, 0], [0.39260167467192025, -1.8047607715608969], [-97.33062350293346, -44.44940639120185]], [[1.0, 0], [-0.6754669908048855, -4.697976113338086], [-104.58473412398021, 30.708848695715837]], [[1.0, 0], [0.4121405269407373, -5.762477528871485], [-111.8498229325454, -16.08157672488122]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9705118, 'index': 1, 'label': '2-230-115.102-c1-0-1', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/230/2/l/a/217/10', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [0.15188984060146307, -0.007336452516669904, -0.17748587213133488, -0.3649428270813419, -0.5751882892592742, -0.8121635861882216, -1.0778063579601427, -1.37172289463094, -1.6909570539189365, -2.02984082923889, -2.379939985144282, -2.730126772201627, -3.0668179793394303, -3.3744123048321337, -3.6359486776632517, -3.833988712269316, -3.951703570999148, -3.9741198508038726, -3.889452777226091, -3.690430515806242, -3.3754937215477616, -2.9497426326079585, -2.425503008054071, -1.8223943875688768, -1.1668109069511712, -0.4907662482736058, 0.16989144717524218, 0.7778252678347286, 1.2969787917510835, 1.6955672122709806, 1.9490347781990969, 2.04268809350852, 1.9737062046833806, 1.7522515690084224, 1.401463542803238, 0.9562067834266139, 0.46056544281909906, -0.035789611379330566, -0.48209279936582466, -0.8314391082636474, -1.0457083169067012, -1.0999116937795295, -0.9854217550095501, -0.7116191531587838, -0.3056302787768273, 0.18997444816165182, 0.7214163164163653, 1.2295242638016526, 1.6565463444802064, 1.953191585293585, 2.085037122398776, 2.0374389607355567, 1.8182030885405462, 1.4575039197860042, 1.0048599298519159, 0.5233572353546225, 0.08170366228652044, -0.2549556671258118, -0.4342792828842492, -0.42473784481747584, -0.22116837190273522, 0.15309792912770165, 0.6480924692465153, 1.1930753853712812, 1.7058498768886374, 2.1044083270294642, 2.319355386327181, 2.305309510229044, 2.0494911566439, 1.575985552543875, 0.9447030043027689, 0.24479084651579305, -0.416917606671426, -0.9310212721997151, -1.2021802806169843, -1.1648059973575688, -0.7953215336049584, -0.11885027302124392, 0.7910962847563191, 1.8203651190393058, 2.8286379609633983, 3.6688231055559144, 4.2086506327819455, 4.3512345139178, 4.05132755155587, 3.324485575304098, 2.2473318834783944, 0.948443199665936, -0.409133270567426, -1.6513142328106758, -2.618862664593928, -3.191653231385355, -3.3073451539496754, -2.971249008497312, -2.2555156221463175, -1.28749666137848, -0.228949459679498, 0.7506291639150748, 1.5021464976104337, 1.921755031938565, 1.9680490480117185, 1.6684955225389582, 1.113796914848719, 0.44099704373039855, -0.19182186516785116, -0.6348179195800353, -0.7743868345579064, -0.5547381697220516, 0.011016714745362947, 0.8424718059883326, 1.8061099334198494, 2.739578112906846, 3.4816143096426044, 3.9020279262480444, 3.9260268347240292, 3.548176205344368, 2.83320852109846, 1.9034277183323427, 0.9150809056938463, 0.028287132064415188, -0.6235426852080262, -0.9586841331452606, -0.9614266405873214, -0.6828174303856331, -0.2276563703112272, 0.269563255330529, 0.6747134475778348, 0.8836883214925433, 0.8452403764659444, 0.5719354791611698, 0.13665280309440916, -0.34482648406140787, -0.7415042984709357, -0.9390929739990587, -0.8690103474594993, -0.5276770009089059, 0.018716279582135356, 0.645709083443644, 1.1964624864945754, 1.5168086241790586, 1.4918952106404062, 1.0761231712615655, 0.3091718487623841, -0.6863203233244114, -1.7259424281622797, -2.5998653506405565, -3.1170627766418257, -3.147958072091887, -2.6559307454915664, -1.7101313237011442, -0.47585884463100436, 0.8164204130472714, 1.9175289808019487, 2.6119213871024125, 2.764608565613666, 2.3520993480358574, 1.4699354691328534, 0.3143282407954443, -0.8589119334177435, -1.789781470932817, -2.2719654002884835, -2.200392307568609, -1.597565836654053, -0.6121974866698288, 0.5103183979036094, 1.4797522341468476, 2.0242252037137747, 1.9509510190949293, 1.1910037810771188, -0.18209552462538886, -1.9644799067155483, -3.862407740548994, -5.552390775952272, -6.747776045607207, -7.25706526272117, -7.02110753872466, -6.121126225348682, -4.756238089690663, -3.1961335476316357, -1.7202564186698897, -0.5577978951261184, 0.15761780575565154, 0.40843167131580704, 0.2848723193898208, -0.04898174465156328, -0.4054358287713681, -0.6264695391692515, -0.6263123115519122, -0.41248208096166705, -0.08016119306108395, 0.2182137379320893, 0.31975037509406157, 0.10153670775702378, -0.47907230868439493, -1.3655160325714781, -2.4100536555468945, -3.407217499281699, -4.144295337368818, -4.455692587695329, -4.266689156711032, -3.6146120302694675, -2.641212274536945, -1.557601655388855, -0.5904910409677304, 0.07630231521572498, 0.3495063363924979, 0.25017522803367265, -0.09330782730490536, -0.48176276069078955, -0.7019946432850588, -0.5887854565262006, -0.07521129586019518, 0.7829132931440748, 1.8160334956703557, 2.7819678843136444, 3.428990043778749, 3.5643871356784014, 3.1099452789684787, 2.1287399624343735, 0.8148951274777876, -0.5522208937894331, -1.6781573557252285, -2.3296825378009984, -2.396721055690665, -1.9226495995436388, -1.093717720543529, -0.18919137675551626, 0.4954240972175115, 0.731972505301896, 0.4274025004661298, -0.3434121719636913, -1.3500417488756793, -2.262396568356649, -2.7366479806706034, -2.5091234009986336, -1.4732792170085838, 0.2813619211223969, 2.479864427111318, 4.720788783558705, 6.569206562114554, 7.660392311573931, 7.787586806521418, 6.951107259354907, 5.35606725955944, 3.3594329553781725, 1.380470619706008, -0.20177965189756697, -1.137157930685877, -1.3563653058554839, -0.9736668051404741, -0.24124694014717113, 0.5307229300634271, 1.0651631156629133, 1.1946391438740072, 0.9024115370915248, 0.31754174815810227, -0.33303224342632365], 'positive_zeros': ['0.11938569489401101145208009548924', '3.21717780396400939245070523175957', '4.61570810700880714277991625867771', '5.57890350314205920772011324604859', '7.02634799686980935484053279822774', '7.57958302213178149704769610354033', '8.919327696153174461426948727389720', '9.642987212987146521416349950201906', '10.96193654271963672068469878291256', '12.02761697436062268922801352071365'], 'prelabel': '2-230-115.102-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.355197124587213, 'root_angle': -0.3620654971349792, 'root_number': '-0.6473696752203049 - 0.7621761631048015*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.362065497135', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.11938569489401101145208009549', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.21717780396400939245070523176', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.61570810700880714277991625868', 'prec': 103}}
