{'A10': 0, 'A2': 0, 'A3': 0, 'A4': -3, 'A5': 0, 'A6': 0, 'A7': 4, 'A8': 0, 'A9': -3, 'Lhash': '830735724069634041840034716308', 'a10': [0.0, 0], 'a2': [0.0, 0], 'a3': [0.0, 0], 'a4': [-1.5, 0], 'a5': [0.0, 0], 'a6': [0.0, 0], 'a7': [1.5118578920369088, 0], 'a8': [0.0, 0], 'a9': [-1.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 25.066245894480033, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1, 0, 3]], [11, [1, 0, 1]], [19, [1, -6, 19]]], 'bad_primes': [3, 11, 19], 'central_character': '393129.1', 'coefficient_field': '1.1.1.1', 'conductor': 393129, 'conductor_radical': 627, 'degree': 4, 'euler_factors': [[1, 0, 3, 0, 4], [1, 0, 3], [1, 0, 6, 0, 25], [1, -4, 18, -28, 49], [1, 0, 1], [1, 0, 22, 0, 169], [1, 0, -30, 0, 289], [1, -6, 19], [1, 0, -30, 0, 529], [1, 0, 22, 0, 841], [1, 0, 46, 0, 961], [1, 0, 38, 0, 1369], [1, 0, -18, 0, 1681], [1, -12, 122, -516, 1849], [1, 0, -30, 0, 2209], [1, 0, 106, 0, 2809], [1, 0, 102, 0, 3481], [1, -12, 158, -732, 3721], [1, 0, 70, 0, 4489], [1, 0, 142, 0, 5041], [1, 4, 150, 292, 5329], [1, 0, 58, 0, 6241], [1, 0, -22, 0, 6889], [1, 0, 178, 0, 7921], [1, 0, 190, 0, 9409], [1, 0, -6, 0, 10201], [1, 0, 142, 0, 10609], [1, 0, 70, 0, 11449], [1, 0, 214, 0, 11881], [1, 0, 82, 0, 12769]], 'gamma_factors': [[], [0, 0]], 'id': 9476284, 'index': 2, 'label': '4-627e2-1.1-c1e2-0-2', 'leading_term': '1.21933891431', 'load_key': 'Costa', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 0, 'origin': 'EllipticCurve/2.2.57.1/121.1/b', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.052734375', 'prec': 37}, 'plot_values': [1.2193389143140292, 1.2125139188680478, 1.1918898359673695, 1.1570334439240295, 1.1072692269352684, 1.041747831356875, 0.959539191285418, 0.8597474696405433, 0.7416439708151055, 0.604813103809851, 0.44930533683601576, 0.27578993459751905, 0.08569917946447503, -0.11864516019174112, -0.3339330282515568, -0.5558051563583495, -0.7788400230220992, -0.9965978840878627, -1.201729536322424, -1.386155181221601, -1.5413156759868039, -1.6584946315816271, -1.7292053469665492, -1.7456316272509862, -1.7011063660492025, -1.5906066900131313, -1.4112398336006227, -1.1626901404532217, -0.847595094656042, -0.47181747555702286, -0.044581958719905265, 0.42155197903145875, 0.9109030066214352, 1.4050804712014704, 1.8835995884321712, 2.3246898635407836, 2.7062735834791383, 3.0070770514719043, 3.2078235875448913, 3.2924452610998984, 3.2492409669180797, 3.0719028784994746, 2.7603324561326907, 2.32117176841751, 1.7679863027157818, 1.1210516905406802, 0.40671839894144074, -0.34364550674792044, -1.0951043621883596, -1.8109382789311155, -2.454671309441695, -2.9922300114534175, -3.394098002831076, -3.6373200825099787, -3.707207306238753, -3.5986032811512776, -3.3165923421546184, -2.876561751942383, -2.303571206144577, -1.631031340275676, -0.8987453706693217, -0.15042052004382817, 0.5691958683215044, 1.2173610528651981, 1.7563411880032724, 2.1561432961613343, 2.3967508303291605, 2.469665838608208, 2.3786063441046577, 2.139269135743975, 1.7781415356489094, 1.330425235272306, 0.8372142982326061, 0.3421407236821685, -0.11224251320943354, -0.48803552621314494, -0.7552075501930725, -0.894158534964135, -0.8973772271005092, -0.7700199818312526, -0.529328496342761, -0.20291145513678843, 0.1739749083041752, 0.5619097678818932, 0.9212321991649837, 1.2160285926141505, 1.4177829862506275, 1.5083085839663997, 1.4816372259224169, 1.3446387389438796, 1.1162662336079041, 0.8254652329624586, 0.5079300321485866, 0.20202452752524816, -0.05570828302550452, -0.2349572028812965, -0.31546665157203235, -0.2898046149436915, -0.16469933399430084, 0.03928933670793583, 0.28982123805887633, 0.5464124909144408, 0.7653279253421184, 0.9052324589224919, 0.9329823310047715, 0.8288772351459464, 0.5907080796531861, 0.23602600043477423, -0.19777854359781247, -0.6557757621072166, -1.070105209405308, -1.3665526450046406, -1.472504125974272, -1.3254855999161308, -0.8813715607462491, -0.12131714019140707, 0.9434559164190419, 2.269709353268003, 3.7834952757252904, 5.384806613256479, 6.9552936946409485, 8.36841452559786, 9.501081932314348, 10.245654516891124, 10.521019985213172, 10.281556416513887, 9.522932170875295, 8.28400509969756, 6.644477955594149, 4.718418097378475, 2.644206016674396, 0.5718862343313793, -1.3507936290560576, -2.9921942721374224, -4.248971764093142, -5.0553207473917015, -5.388265432797231, -5.268424477248593, -4.756185141082801, -3.9437471195128113, -2.9439742234201685, -1.8773637025509593, -0.8586610169100055, 0.015317298141873012, 0.6752457138653125, 1.0851594800438475, 1.244019550044508, 1.1829027275130932, 0.9582992044798222, 0.6424902197593894, 0.3123431540221733, 0.03805087345263689, -0.12667032236608491, -0.15162460564405347, -0.03351319569037363, 0.2047507831990407, 0.5186133992291058, 0.8496137432098662, 1.1351089568600627, 1.3185339670390674, 1.3586604640329931, 1.2364611477880334, 0.9585306632582288, 0.5565178581847765, 0.08261509441332757, -0.39825510317322094, -0.8184049541398678, -1.117997069423334, -1.2546773999952237, -1.210702195815718, -0.9963791672555398, -0.6491754923148434, -0.22849273805486045, 0.1932225549991811, 0.5417741738897222, 0.7532402831935945, 0.7848711876407604, 0.6231048191639138, 0.2873157435033446, -0.1714875864542278, -0.6770583076965679, -1.138657812471003, -1.4647086853102318, -1.5773950399561845, -1.4260130406584337, -0.9969596908799129, -0.3186578854581135, 0.5395979772511096, 1.475021022544115, 2.3641500458333717, 3.0794686050201867, 3.5075444383545977, 3.566081988506114, 3.217332043028315, 2.475738676059698, 1.408473781871097, 0.12850988477388484, -1.2190298889800775, -2.4754908052778735, -3.489734464509251, -4.138644574252776, -4.344119762617908, -4.08402748974984, -3.3954280952360305, -2.36948738043296, -1.138718588280296, 0.1416531373033715, 1.3155064768992923, 2.247610579604324, 2.8421413013306327, 3.0551489661493894, 2.899096989435071, 2.4387919435020597, 1.7793497706832382, 1.0480853813972106, 0.37317744565336225, -0.13751020259673946, -0.414066195778208, -0.4357778874786798, -0.23413164421031296, 0.11298002911043993, 0.4949762026766462, 0.7880632123677883, 0.8773310868016477, 0.6778540342652685, 0.15127677884405286, -0.68495982098455, -1.7574533735047053, -2.945988808791675, -4.100740872615149, -5.064930989796082, -5.699397961346118, -5.905158926202727, -5.640284857141296, -4.928264260549636, -3.8563512340636024, -2.563981212200964, -1.2229341954715447, -0.012269990790495141, 0.9080704968315806, 1.4208578087804897, 1.4686446570610288, 1.0616307236369753, 0.2751111246703414, -0.763026264089195, -1.8926880390141076, -2.946519279837104, -3.7753663263938533, -4.270180311575445, -4.376920311649412, -4.102220528762331, -3.509154729392101, -2.704095114248955, -1.817136928304625, -0.9795919296799808, -0.30246748369921633, 0.140424368764728], 'positive_zeros': ['0.65533493528900419546138704461501', '1.58724456551048532456897050947370', '2.45452637871016402228825655496011', '3.22754362893966258462003953820938', '3.88860327572794518458625049254216', '4.30040508629908295283598427180007', '4.94437307110149956745580470362015', '5.21166518215897327046332845628858', '5.67207155470213255326225150386532', '6.07128255175903051808969963153299', '6.92329970739893381897680957630952', '7.53997736896322143284529825653206', '7.972151940820601836697648015289784', '8.130186670439284459309177922111847', '8.657345504637790262473996328473976'], 'prelabel': '4-627e2-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 2.237547811049919, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1e2-0', 'st_group': 'SU(2)', 'symmetry_type': 'symplectic', 'trace_hash': 1544655982320988492, 'z1': {'__RealLiteral__': 0, 'data': '0.65533493528900419546138704461501', 'prec': 113}, 'z2': {'__RealLiteral__': 0, 'data': '1.58724456551048532456897050947370', 'prec': 113}, 'z3': {'__RealLiteral__': 0, 'data': '2.45452637871016402228825655496011', 'prec': 113}}