{'Lhash': '415812075129173037637907268788', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.0, 0.0], 'a4': [0.0, 0.0], 'a5': [-2.618033988749895, 0.0], 'a6': [0.0, 0.0], 'a7': [-3.0, 0.0], 'a8': [0.0, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 46.37711349395967, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [1.0, 0]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 11], 'central_character': '5808.1', 'coefficient_field': 'CDF', 'conductor': 5808, 'conductor_radical': 66, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [2.618033988749895, 0], [5.0, 0]], [[1.0, 0], [3.0, 0], [7.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.7639320225002102, 0], [13.0, 0]], [[1.0, 0], [-1.618033988749895, 0], [17.0, 0]], [[1.0, 0], [5.854101966249685, 0], [19.0, 0]], [[1.0, 0], [3.4721359549995796, 0], [23.0, 0]], [[1.0, 0], [-4.47213595499958, 0], [29.0, 0]], [[1.0, 0], [2.8541019662496847, 0], [31.0, 0]], [[1.0, 0], [-0.2360679774997897, 0], [37.0, 0]], [[1.0, 0], [11.94427190999916, 0], [41.0, 0]], [[1.0, 0], [6.23606797749979, 0], [43.0, 0]], [[1.0, 0], [1.618033988749895, 0], [47.0, 0]], [[1.0, 0], [9.618033988749895, 0], [53.0, 0]], [[1.0, 0], [10.326237921249264, 0], [59.0, 0]], [[1.0, 0], [-7.854101966249685, 0], [61.0, 0]], [[1.0, 0], [-9.562305898749054, 0], [67.0, 0]], [[1.0, 0], [-5.562305898749053, 0], [71.0, 0]], [[1.0, 0], [3.23606797749979, 0], [73.0, 0]], [[1.0, 0], [9.47213595499958, 0], [79.0, 0]], [[1.0, 0], [0.7082039324993691, 0], [83.0, 0]], [[1.0, 0], [-0.5278640450004206, 0], [89.0, 0]], [[1.0, 0], [14.034441853748634, 0], [97.0, 0]], [[1.0, 0], [3.0, 0], [101.0, 0]], [[1.0, 0], [-6.0, 0], [103.0, 0]], [[1.0, 0], [-4.23606797749979, 0], [107.0, 0]], [[1.0, 0], [0, 0], [109.0, 0]], [[1.0, 0], [-0.7082039324993691, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 21113672, 'index': 3, 'label': '2-5808-1.1-c1-0-3', 'leading_term': '0.38100783066332050666389117302770', '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/5808/2/a/bl/1/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 34}, 'plot_values': [0.3810078306633205, 0.3718068812806709, 0.3442153516351388, 0.29827478150314435, 0.23407910613614505, 0.15180974468519526, 0.051780998532432024, -0.06550752837243073, -0.19931517951234345, -0.34860499115193155, -0.5119926575651103, -0.6877031620059685, -0.8735381192862715, -1.0668564026956509, -1.2645701161090903, -1.4631574415362956, -1.6586933515998536, -1.8468986266655698, -2.0232070557075765, -2.1828501270421143, -2.3209579312473534, -2.4326744095454655, -2.5132844969296406, -2.5583501450258717, -2.56385168341346, -2.526330510891556, -2.443028722484058, -2.3120209965933913, -2.1323339113975543, -1.9040478498053617, -1.628376804022957, -1.307721715412115, -0.9456934886082489, -0.5471025001567578, -0.11791227351544138, 0.3348440009739544, 0.8031842832819039, 1.2783347784166017, 1.7509209415436902, 2.211188695890056, 2.6492508598806936, 3.055352549346067, 3.4201482176731295, 3.7349820733137062, 3.9921629193626496, 4.185224038396592, 4.309158634788138, 4.360621574465679, 4.338088745656601, 4.2419663078826755, 4.0746433907659405, 3.840483424747358, 3.5457511934340245, 3.19847483834094, 2.8082443542819657, 2.385950508967915, 1.9434705156135552, 1.493309088375595, 1.048205620248584, 0.6207200456689687, 0.22281139468483782, -0.13457596936591984, -0.4419029792313996, -0.6913880316308512, -0.8773060945491848, -0.9962214996560854, -1.0471431073419797, -1.0315930260505213, -0.9535830436625423, -0.81949629148246, -0.637875293590373, -0.41912132016861237, -0.17511371335631004, 0.08123856939921921, 0.3364977059710332, 0.577231809089639, 0.7905634020328476, 0.964709821456346, 1.0894932702155613, 1.1567986280059002, 1.1609584542910696, 1.0990468750269162, 0.9710671792577712, 0.7800218693359764, 0.5318584752385591, 0.23528948942285574, -0.09850989592628184, -0.4563171848727949, -0.8233768387803175, -1.1839943486580007, -1.52218692954049, -1.8223643758936519, -2.070011393343713, -2.2523416913979677, -2.3588943812270395, -2.382044814006814, -2.317404901109648, -2.164092098176992, -1.9248514703859714, -1.6060213883360945, -1.2173401845842986, -0.7715982403906465, -0.2841471518294044, 0.22771549021272897, 0.7454609148375598, 1.250113479522118, 1.7230702940571985, 2.1469193770207182, 2.506218606254768, 2.7881985239392453, 2.983354635036767, 3.0858991341209685, 3.094047862824447, 3.0101255088315404, 2.8404803034152972, 2.5952083913262642, 2.287697220823497, 1.934006291047664, 1.5521119498015747, 1.1610502231780682, 0.7799974828816804, 0.4273327800244977, 0.11972763651661628, -0.1286911776004772, -0.30706289827975947, -0.408359843333981, -0.4297689292648521, -0.3728648514198234, -0.24356214481782135, -0.0518442629219826, 0.18872087386056483, 0.46165826784862674, 0.7484251926034572, 1.0293724461426272, 1.2847802019771226, 1.495916152099132, 1.6460612188454884, 1.721448480703307, 1.7120641744834852, 1.6122656187689117, 1.4211794183686621, 1.1428539824218258, 0.7861527191168204, 0.3643876530197997, -0.10529303317716095, -0.6027366232805946, -1.105797415535941, -1.5914783806394468, -2.037144926736874, -2.4217474662981924, -2.726987432703961, -2.938362804626931, -3.046034084988737, -3.0454598813984624, -2.937762394466436, -2.7297967155108314, -2.433913193881328, -2.0674184683175625, -1.651757202091563, -1.2114522228780198, -0.7728547676798835, -0.3627680597566744, -0.007015801107837385, 0.27096819076997253, 0.4514523902636668, 0.5195488181577652, 0.4661176639605142, 0.28838129233619597, -0.00979162083456597, -0.4179538534737681, -0.9195025134601097, -1.492440828473825, -2.110443726168803, -2.7441747049292426, -3.3627866755714826, -3.9355280780729758, -4.433368358476559, -4.830554324686967, -5.106011228679147, -5.2445096167214, -5.2375307408617084, -5.083779059480966, -4.789309257174031, -4.367256270436822, -3.8371788562123403, -3.2240490443425975, -2.556940120024791, -1.8674833972441713, -1.1881779095290976, -0.550646397621109, 0.01606499635244702, 0.4870474302070066, 0.8428616142693429, 1.0705650428289402, 1.1643744860273502, 1.1259245425137632, 0.9641060873610228, 0.6944926811591182, 0.33838702326337133, -0.07845808775780422, -0.5273704290371888, -0.9784515898975885, -1.4023336191729991, -1.7718956630603018, -2.063839039829721, -2.2600271639353693, -2.348510391388377, -2.324174452383264, -2.1889735959421683, -1.951734572675609, -1.6275436283067144, -1.2367541887967777, -0.8036763141132773, -0.355028815696122, 0.08175009349746996, 0.4802286014955623, 0.8166358544288026, 1.0713415910774626, 1.2300677269712323, 1.2847552504907884, 1.2340312547849903, 1.0832460638866037, 0.8440776698854777, 0.533728373478477, 0.17376485381276272, -0.21132381440624595, -0.5957569590546825, -0.9541758009221611, -1.2633273677432084, -1.5036076445378506, -1.6603611082993894, -1.724848943907748, -1.694819310751041, -1.5746387369068209, -1.3749724477645262, -1.1120313522139809, -0.8064325665414533, -0.48174682434230887, -0.1628281126169229, 0.12596313586443164, 0.36252313462782626, 0.5286330008936102, 0.6113381720520747, 0.6039798348054286, 0.506800983752092, 0.3270770762599664, 0.0787524754617547, -0.21840302933376868, -0.5400705320546869, -0.8590137373864162, -1.1469629302318851, -1.376628610803245, -1.523710607403094, -1.5687655918850254, -1.4988021358840204, -1.3084875376865612, -1.0008738037546374], 'positive_zeros': ['0.32801788998822681180893444068806', '1.74000988766853428659862717657432', '3.07775665047410773766177408363803', '3.69104202450473518827236482305610', '4.35266707509660258513395436548822', '5.20806012214441834281969011901844', '6.21814035549411703469023263445382', '6.56252347741541329568994263668140', '7.30145075560709680016258265955762', '8.227677073301440636778587645486471'], 'prelabel': '2-5808-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.810074411778455, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.32801788998822681180893444069', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.74000988766853428659862717657', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.07775665047410773766177408364', 'prec': 103}}
