{'Lhash': '992196075306377706188839383675', 'a10': [-6.903737855623638, -7.234528569356066], 'a2': [-1.7500097792596925, -0.9682281613831745], 'a3': [-4.247075489155944, 0.0], 'a4': [2.125068455009115, 3.388817501950374], 'a5': [4.771570763992094, 1.4940255835212133], 'a6': [7.432423639277044, 4.112138092121006], 'a7': [7.863056894291424, 0.0], 'a8': [-0.4377420386857037, -7.988014891546415], 'a9': [9.0376502105892, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.354250045691284, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [1.7500097792596925, 0.9682281613831745]]], [5, [[1.0, 0], [-4.771570763992094, -1.4940255835212133]]], [19, [[1.0, 0], [0, -4.358898943540674]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.39', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': '1390404537104510158381591727631', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.7500097792596925, 0.9682281613831745]], [[1.0, 0], [4.247075489155944, 0], [9.0, 0]], [[1.0, 0], [-4.771570763992094, -1.4940255835212133]], [[1.0, 0], [-7.863056894291424, 0], [49.0, 0]], [[1.0, 0], [0, -2.6370129431869738], [-121.0, 0]], [[1.0, 0], [0, 5.112572323791855], [-169.0, 0]], [[1.0, 0], [0, -12.26802867327835], [-289.0, 0]], [[1.0, 0], [0, -4.358898943540674]], [[1.0, 0], [17.25073093391742, 0], [529.0, 0]], [[1.0, 0], [-4.9596583820146485, 0], [841.0, 0]], [[1.0, 0], [0, 59.46506213541342], [-961.0, 0]], [[1.0, 0], [0, -47.86766037344452], [-1369.0, 0]], [[1.0, 0], [4.385127752825953, 0], [1681.0, 0]], [[1.0, 0], [-51.23624832428055, 0], [1849.0, 0]], [[1.0, 0], [-41.36094532535327, 0], [2209.0, 0]], [[1.0, 0], [0, -42.98204279003986], [-2809.0, 0]], [[1.0, 0], [0, -103.3362376223377], [-3481.0, 0]], [[1.0, 0], [-68.72790014003313, 0], [3721.0, 0]], [[1.0, 0], [-69.79302835628863, 0], [4489.0, 0]], [[1.0, 0], [0, -55.14747335299192], [-5041.0, 0]], [[1.0, 0], [0, 45.6446945062504], [-5329.0, 0]], [[1.0, 0], [0, -84.15134012075379], [-6241.0, 0]], [[1.0, 0], [2.1621996309076787, 0], [6889.0, 0]], [[1.0, 0], [-89.65221906634252, 0], [7921.0, 0]], [[1.0, 0], [0, -36.54474324426752], [-9409.0, 0]], [[1.0, 0], [105.73860174475348, 0], [10201.0, 0]], [[1.0, 0], [-187.5696065774794, 0], [10609.0, 0]], [[1.0, 0], [111.6933637526349, 0], [11449.0, 0]], [[1.0, 0], [-88.20724985428757, 0], [11881.0, 0]], [[1.0, 0], [0, 108.160724292978], [-12769.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 15717047, 'index': 38, 'label': '2-380-20.19-c2-0-38', 'load_key': 'CMFs-workshop', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/380/3/h/a/39/15', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 10}, 'plot_values': [0.877862307263424, 0.8150137019568031, 0.7203880221457601, 0.5948930333321322, 0.44008052722672547, 0.25878521509182784, 0.055821485534175715, -0.16136205163432027, -0.38216891084892457, -0.5925734709465179, -0.7751524444586889, -0.9094937054158876, -0.9730250458464661, -0.9422753065427736, -0.7945416250950919, -0.5098905368529653, -0.07337056324532108, 0.5227352944388842, 1.2768307446633327, 2.1763424398815663, 3.19671927181889, 4.301322535268138, 5.442384138802186, 6.563128617382475, 7.601046062488993, 8.492175148173963, 9.176120309740131, 9.601400357118727, 9.730624889220481, 9.54493727980045, 9.047163692772603, 8.263176435617574, 7.241119411798346, 6.0483467548448635, 4.766176308790686, 3.4828316008310014, 2.285206338585549, 1.250297699221511, 0.4372833768492527, -0.11876631634695334, -0.41066303613989946, -0.4597266250346889, -0.3129833266981333, -0.03708720650642184, 0.29043048681961187, 0.5915660091085724, 0.7985756540457002, 0.8635637562661083, 0.7655087590092711, 0.5135788705808622, 0.14605284366744936, -0.2752310364355231, -0.6743035062523196, -0.9731402101852286, -1.1046577494479028, -1.0246370893652197, -0.720611428220295, -0.216103321560779, 0.4307668155251671, 1.1344310204669157, 1.793977479811567, 2.308527756584248, 2.5935473536475246, 2.5954335972903833, 2.3018364019801103, 1.7457224069748474, 1.0021308568944318, 0.17775702254077227, -0.6052535351258016, -1.2288255366392036, -1.5985873563263875, -1.6602090511368237, -1.4094285980008319, -0.8937119751467003, -0.2048900440363457, 0.5362792624852029, 1.2011451878587465, 1.6761546455425584, 1.8836095865547289, 1.796212225353655, 1.4424010519747614, 0.9010978248074085, 0.28646810756338764, -0.2747167190187684, -0.6689296654024116, -0.8198956088587062, -0.7057854633124477, -0.36571337896333783, 0.10640543746720592, 0.5801147691439275, 0.915749629237501, 0.9957199224394594, 0.7534544525553868, 0.1937532151124711, -0.6003768128690518, -1.4768919042747695, -2.2392560085218958, -2.6825144369210947, -2.6344030197631754, -1.9935000148881976, -0.7564670163750945, 0.9719028879116619, 2.989044536679538, 5.024684851796886, 6.785896812788049, 8.009144904731427, 8.509489289375143, 8.217189630743277, 7.194016175688427, 5.625306432748012, 3.788504801554883, 2.0036558334290286, 0.5751048873473584, -0.2643336581434208, -0.39573375926850346, 0.16553348375321736, 1.2754688729639363, 2.6920371801718854, 4.1244066163006075, 5.290701552480775, 5.972390536388957, 6.0542116170294875, 5.541701780346466, 4.5532756313469385, 3.2893241658688344, 1.985748916550885, 0.8625961024055611, 0.07926982477784328, -0.2940034070759254, -0.2827924313694524, 0.007242485969637516, 0.4235091456720215, 0.8082162762150558, 1.038004850174649, 1.0516689859845272, 0.8594659363689359, 0.5324373670228072, 0.17545528342062072, -0.10799375004521379, -0.24909303977808353, -0.2354021054077226, -0.11451823867584349, 0.02174722446913573, 0.06854778400351179, -0.054216017041402775, -0.3686367866674873, -0.8205628374425614, -1.2832775600662747, -1.5842287571749152, -1.5494729870395658, -1.055045708228256, -0.07157538221572554, 1.31091896766216, 2.8869029798924344, 4.369828130315598, 5.451268076268898, 5.871751687863913, 5.486301708918502, 4.307780981537359, 2.515621463746852, 0.4254646506882455, -1.5751857585142541, -3.111392385123706, -3.9056594578959736, -3.8425983164880373, -2.996894726502053, -1.6166080155559934, -0.06469552406889417, 1.26783235064824, 2.0562725947345624, 2.12088263690531, 1.4700805242871804, 0.29704063700822053, -1.069841782386118, -2.250424688318874, -2.9092643370316047, -2.840574201312553, -2.020039648704979, -0.6102838742873706, 1.0812546257519495, 2.6809097802811994, 3.8432255836609763, 4.336556286584959, 4.097617109663643, 3.241171877899074, 2.023130428047472, 0.7678426990997884, -0.2200887936572013, -0.7352182376472116, -0.7203797815344933, -0.2727059986751761, 0.39406446836604975, 1.0192767187064633, 1.3763790548136283, 1.3415602906540618, 0.9300451259047005, 0.2895885557110068, -0.3467451443503781, -0.7344518640134202, -0.6961011523369183, -0.180942044221576, 0.712593876206555, 1.7589211602737571, 2.6662105269023195, 3.1589526691603274, 3.0582988165632914, 2.3366005007740527, 1.129817945795255, -0.2963941003491438, -1.6176137910266066, -2.53840281998113, -2.871680482380406, -2.5869224417926127, -1.813539788106855, -0.7990127578528441, 0.1653012528224255, 0.8283077567807443, 1.048187388497051, 0.8261061359774415, 0.2954748039803744, -0.32861472881292353, -0.8228765501511806, -1.0284041619568094, -0.8990985589698465, -0.5107288277880012, -0.028334073811123215, 0.35656521550680775, 0.49732995381965023, 0.3473642430474675, -0.020661569897189414, -0.43944997582858314, -0.7085846738156028, -0.6727228018493216, -0.289277530175867, 0.3397884497269555, 0.9869214906937018, 1.367298352739257, 1.2381286511021892, 0.49834239019166565, -0.7450720932231502, -2.1702396502946737, -3.3026356287684915, -3.6349628620135714, -2.774184940494859, -0.5741647656878596, 2.786801989035319, 6.811069637161235, 10.77461250886418, 13.888102027036762, 15.48579929012484, 15.192271070633035, 13.02129289975885, 9.378857548508241, 4.968148345712797, 0.6212580787589124, -2.8974811145568555, -5.064320900623181], 'positive_zeros': ['0.78270469412292431550184586852716', '2.01740571673977854146858624277420', '4.84254499452783362037748758662924', '5.38958462749984113291004729663000', '6.29405182858351476901588063967449', '7.16914246801844064520918191490217', '8.402134153750271365665454852041877', '9.284507262752573641306792908937373', '10.31062269681363199521035949600216', '10.97313488305284323052525732458200'], 'prelabel': '2-380-20.19-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.217802051974497, 'root_angle': -0.04084794122067005, 'root_number': '0.9672444577664322 - 0.2538467232802516*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0408479412207', 'prec': 40}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.78270469412292431550184586853', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.01740571673977854146858624277', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.84254499452783362037748758663', 'prec': 100}}