{'Lhash': '802072229284592155448163708843', 'a10': [-0.6909830056250525, -2.1266270208801], 'a2': [-0.30901699437494745, 0.9510565162951535], 'a3': [0.0, 0.0], 'a4': [0.8090169943749475, 0.5877852522924731], 'a5': [-1.8090169943749475, 1.314327780297834], 'a6': [0.0, 0.0], 'a7': [-4.47213595499958, 0.0], 'a8': [-2.4270509831248424, 1.7633557568774194], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7966340454788094, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.8090169943749475, -1.314327780297834]]]], 'bad_primes': [3, 5], 'central_character': '225.46', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '3711496477491758971850309934148', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.30901699437494745, -0.9510565162951535], [-1.618033988749895, -1.1755705045849463]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.8090169943749475, -1.314327780297834]], [[1.0, 0], [4.47213595499958, 0], [7.0, 0]], [[1.0, 0], [-0.38196601125010515, 1.1755705045849463], [-8.899186938124421, -6.465637775217204]], [[1.0, 0], [-1.7360679774997898, -5.343067833768241], [-10.517220926874316, 7.641208279802151]], [[1.0, 0], [-3.118033988749895, 2.2653842965929876], [5.253288904374106, -16.167960777017612]], [[1.0, 0], [1.0, -0.7265425280053609], [5.871322893124001, -18.07007380960792]], [[1.0, 0], [1.381966011250105, -4.2532540417602], [-18.607390870623792, -13.519060802726882]], [[1.0, 0], [-5.354101966249685, -3.889982777757519], [8.961492836873475, 27.580638972559452]], [[1.0, 0], [2.23606797749979, -1.6245984811645315], [9.57952682562337, -29.48275200514976]], [[1.0, 0], [0.9549150281252629, 2.9389262614623655], [-29.933628791873055, 21.748054334821507]], [[1.0, 0], [-1.118033988749895, -3.440954801177934], [-33.16969676937284, 24.099195343991397]], [[1.0, 0], [-7.708203932499369, 0], [43.0, 0]], [[1.0, 0], [0.6180339887498949, 0.4490279765795854], [14.52379873562253, 44.69965626587222]], [[1.0, 0], [-2.9270509831248424, -2.1266270208801], [16.377900701872214, 50.405995363643136]], [[1.0, 0], [-1.2360679774997898, -3.804226065180614], [-47.7320026681219, 34.67932988525592]], [[1.0, 0], [-0.5, 1.5388417685876268], [-49.350036656871794, -35.854900389840864]], [[1.0, 0], [0.6180339887498949, -0.4490279765795854], [20.704138623121477, -63.72078659177529]], [[1.0, 0], [4.23606797749979, 3.0776835371752536], [21.940206600621266, 67.52501265695591]], [[1.0, 0], [2.5, -7.694208842938133], [-59.05824058937116, -42.90832341735054]], [[1.0, 0], [0, 0], [24.412342555620846, 75.13346478731714]], [[1.0, 0], [-10.090169943749475, 7.330937578935453], [25.648410533120636, -78.93769085249775]], [[1.0, 0], [1.663118960624632, -5.1185538454784485], [-72.00251249937033, -52.31288745403011]], [[1.0, 0], [1.7360679774997898, 1.2613272171618513], [29.974648454369902, 92.2524820806299]], [[1.0, 0], [3.5623058987490537, 0], [101.0, 0]], [[1.0, 0], [2.618033988749895, 1.902113032590307], [31.828750420619585, 97.95882117840081]], [[1.0, 0], [7.52786404500042, 0], [107.0, 0]], [[1.0, 0], [2.4442719099991588, 7.522695417784323], [-88.18285238686927, 64.06859249987957]], [[1.0, 0], [5.663118960624632, 17.42928799417946], [-91.41892036436906, 66.41973350904946]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9697371, 'index': 0, 'label': '2-15e2-25.21-c1-0-0', '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/225/2/h/a/46/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [0.7323793725695064, 0.5923939278613263, 0.4555590500849874, 0.3160545802245375, 0.16882970417551252, 0.010225247041380604, -0.16160927975327086, -0.3464775966651055, -0.5420338176595545, -0.7437876925810172, -0.9452156430349278, -1.1379927635289344, -1.312366633859996, -1.457688998433329, -1.5631088345994286, -1.6184125704012788, -1.6149763923674152, -1.5467738108292481, -1.4113611969777577, -1.2107473792158747, -0.9520432255372024, -0.6477859848456928, -0.31584313770938904, 0.02117703911828827, 0.3370458525444946, 0.6035565837024076, 0.7926247609766818, 0.8787228814725433, 0.8414686716181672, 0.668137302460931, 0.35583544848498266, -0.08693441392929312, -0.6395720695961288, -1.2697420335792848, -1.9349205697845113, -2.5851382487309835, -3.1668008212195495, -3.6273359321102707, -3.920285911027109, -4.010364147019641, -3.8779306923358168, -3.522335601211644, -2.9636352607063556, -2.2423101042432974, -1.4167960077346708, -0.5588720892100467, 0.2527978172237135, 0.9404228210539258, 1.4353815098366007, 1.6861527360427129, 1.6649274608287976, 1.3720136250301782, 0.8373299946223691, 0.11857745956184124, -0.7039488517812934, -1.535526614444951, -2.277365097076501, -2.8380258626012016, -3.1445509678064187, -3.1518797864938124, -2.84925549940912, -2.262627311439793, -1.4525189861412737, -0.5074073043806467, 0.46673610945953903, 1.3595233286526383, 2.070201681118977, 2.5208045608394953, 2.6665549442651035, 2.5019710543363414, 2.061664225191262, 1.4155408507741363, 0.6589270149467645, -0.10109110322496942, -0.7611968653408641, -1.2369673194482529, -1.4752878974387686, -1.4620836363320653, -1.2240508215037493, -0.8239731668749456, -0.3502178334294053, 0.09802996713520488, 0.42748100057441596, 0.5666848657703273, 0.4785102231194505, 0.16695495132920762, -0.32303789942091177, -0.9129288141257017, -1.5040259860078844, -1.9948416906660296, -2.299392438501483, -2.363176635256406, -2.1738348292111036, -1.7643232937981437, -1.2076957618774107, -0.6040874124938779, -0.061970119046881225, 0.32307390736323865, 0.48816751242038964, 0.4176908354043298, 0.14948031442872697, -0.22902799540896382, -0.5946198959489131, -0.8101099740980354, -0.750520366877065, -0.32896206289863994, 0.4826913722430047, 1.6425766389079317, 3.039786213293885, 4.508093148588613, 5.850701768938777, 6.872105263598806, 7.41158442413107, 7.372284819714126, 6.740330027266613, 5.590027342002421, 4.073649715964795, 2.397108670327786, 0.7855410557070902, -0.5551126493683711, -1.4734891431404293, -1.8984429019829987, -1.8499086709301984, -1.43265032466289, -0.8138142988263808, -0.18838908728315598, 0.2608499872889736, 0.4010802756495574, 0.1772959538017961, -0.3754700562715304, -1.1383278089418336, -1.9322273014793123, -2.5547098807880384, -2.8224907761330784, -2.6112886816994543, -1.8846817932387212, -0.7058327693120805, 0.7706920165135924, 2.3257488486259614, 3.7159675037981503, 4.719631260284132, 5.178831203562209, 5.029296436812822, 4.311774754179672, 3.1626360790383123, 1.7857045699967145, 0.411271647411197, -0.7490578463715444, -1.542185098057397, -1.8997124884963652, -1.845253826819242, -1.481794143152111, -0.9624690334118523, -0.45181256973729217, -0.08660184374816644, 0.054588131475355704, -0.03386588063851526, -0.2887917669708451, -0.5999378347954378, -0.8436257420311771, -0.9197485411096419, -0.7825959651703048, -0.4573768550938793, -0.03773152515298354, 0.33579281614417467, 0.5114996219120042, 0.3679287276108281, -0.14953430307982746, -1.006510264816128, -2.078464678274536, -3.1721359310664488, -4.0656132572175485, -4.558298107724536, -4.519092310237958, -3.920998630232748, -2.8530532214896787, -1.5055911941520996, -0.13113262249603588, 1.0108212039701627, 1.712553964223924, 1.8665731830413848, 1.4917949009648614, 0.7304872699468724, -0.1841898492826502, -0.9831034612308808, -1.4259153002995768, -1.3603124611615496, -0.7612039097331614, 0.2601513332237353, 1.4800622720548988, 2.6143521995003076, 3.3863208829208893, 3.5944747166462916, 3.163427860654729, 2.165112748123884, 0.8044459016321205, -0.6277761524864204, -1.8238280335550696, -2.533303402274354, -2.6244658792887257, -2.117352961947146, -1.1800034630519443, -0.08817756030009175, 0.8419932894730462, 1.3321253525308554, 1.2112736355709532, 0.45986537881984874, -0.7832206427430304, -2.252439863981206, -3.6185671116369784, -4.567394398058264, -4.874692875590063, -4.458928047161094, -3.398846059947342, -1.9119499217319151, -0.29978113811742907, 1.125736418876921, 2.1160085718657506, 2.5409477145048367, 2.4121426589926203, 1.8691354749940539, 1.1336869088620385, 0.4452566677477488, -0.004380868924542127, -0.11966795914482817, 0.07975460547316922, 0.47386623156723223, 0.8856057171909714, 1.1394800095747606, 1.1180081245528015, 0.7993525010007431, 0.26504355239852717, -0.3245273806616892, -0.7796671422122066, -0.9412977000593935, -0.7332105542345309, -0.19053782081026943, 0.5450007149310904, 1.2628879702651334, 1.7446050635348205, 1.8301985628533797, 1.4710064626850412, 0.752215840392944, -0.12289413981484298, -0.8843072454573975, -1.2690219500391313, -1.0969447912060724, -0.32721006577982875, 0.9220351821044489, 2.3975257030623403, 3.7733703121896145, 4.735859397240623, 5.067387013303038, 4.705783558448237, 3.7616229760527027, 2.4875275898204667, 1.207019776070295], 'positive_zeros': ['0.63272342484607830176753672312700', '2.86701938106776856420203548952847', '3.85292289981108673409549077403078', '5.70953934062721895829433189961944', '6.64369002915204428445898605805343', '7.939672098972339638103391939996045', '9.107757720387677150498948971438714', '10.09557665791268958063615965319159', '10.67201126367363744268785477583311', '12.01660421218647469972208810486660'], 'prelabel': '2-15e2-25.21-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323886, 'root_angle': -0.44, 'root_number': '-0.9297764858882513 - 0.36812455268467814*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.44', 'prec': 17}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.63272342484607830176753672313', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.86701938106776856420203548953', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.85292289981108673409549077403', 'prec': 103}}