{'Lhash': '2056563342313184709666603246775', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [1.3660254037844386, -1.3660254037844386], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [-0.5, 0.8660254037844386], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.660888362042632, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [0.5, 0.8660254037844386]]]], 'bad_primes': [2, 13], 'central_character': '3328.2689', 'coefficient_field': 'CDF', 'conductor': 3328, 'conductor_radical': 26, 'conjugate': '1099060251795841012145120712618', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [-1.3660254037844386, 1.3660254037844386], [0, -1.0]], [[1.0, 0], [0, 0], [-0.8660254037844386, 0.5]], [[1.0, 0], [0, 0], [-0.8660254037844386, -0.5]], [[1.0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0.8660254037844386, 0.5], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [-0.8660254037844386, 0.5]], [[1.0, 0], [0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [-1.5, 0.8660254037844386], [0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [0, 1.0]], [[1.0, 0], [-0.13397459621556135, 0.5], [-0.8660254037844386, -0.5]], [[1.0, 0], [-0.13397459621556135, 0.5], [-0.8660254037844386, -0.5]], [[1.0, 0], [0, 0], [-0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [0, -1.0], [-1.0, 0]], [[1.0, 0], [0, 0], [0.8660254037844386, -0.5]], [[1.0, 0], [-0.8660254037844386, -0.5], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [0.8660254037844386, 0.5]], [[1.0, 0], [0, 0], [0.8660254037844386, -0.5]], [[1.0, 0], [0.36602540378443865, -0.36602540378443865], [0, -1.0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [1.3660254037844386, 0.36602540378443865], [0.8660254037844386, 0.5]], [[1.0, 0], [1.3660254037844386, -0.36602540378443865], [0.8660254037844386, -0.5]], [[1.0, 0], [-0.8660254037844386, -1.5], [-0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [-1.0, 1.0], [0, -1.0]], [[1.0, 0], [0.8660254037844386, -1.5], [-0.5, -0.8660254037844386]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 19548245, 'index': 1, 'label': '2-3328-104.37-c0-0-1', 'leading_term': '1.455932451297169225139982619985', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/3328/1/bv/b/2689/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [1.4559324512971692, 1.5271855651357231, 1.6118989085613296, 1.7099438189525962, 1.8197592496878519, 1.9386093871923051, 2.0629008233085147, 2.188482715862881, 2.3108939496478444, 2.4255540384060286, 2.5279107722788576, 2.6135610466743193, 2.6783583210039654, 2.7185153208640407, 2.730706105661066, 2.7121681550734014, 2.660802686780951, 2.5752698074001263, 2.4550741170363386, 2.300635886018226, 2.113342803877324, 1.8955775071930598, 1.6507165886991673, 1.383097549537604, 1.0979511561411637, 0.8012978757096055, 0.4998084554318081, 0.20063023756775547, -0.08881758699053849, -0.3610749510858705, -0.6088916871527646, -0.8254902174515769, -1.0048309997992406, -1.141870573208815, -1.2328013960811248, -1.2752624264339325, -1.2685096105902105, -1.2135361592398217, -1.113133713824136, -0.9718872354205677, -0.7960986519914663, -0.5936369218583801, -0.37371513013553215, -0.1465984253194603, 0.07675010106922266, 0.2850752312459359, 0.46727370897580106, 0.6128604609068152, 0.7124386116139451, 0.7581534069580068, 0.7441093994360287, 0.6667303739943256, 0.5250425699491719, 0.32086381004760806, 0.05888416141174794, -0.25337234345690474, -0.6057107223194697, -0.9855533110915218, -1.3783481214411792, -1.7680862954839043, -2.13791195472797, -2.470802436618833, -2.7502923025697137, -2.9612108607429244, -3.0904005209027283, -3.1273822896364547, -3.0649352669498695, -2.8995591952117996, -2.631792935806247, -2.2663671208447487, -1.8121759746371493, -1.2820611675915308, -0.6924092243019664, -0.06257306578284258, 0.5858627147825303, 1.2299447263061893, 1.8463061387839597, 2.4121727247486553, 2.906373451528315, 3.3103072942048604, 3.608818100552077, 3.790931976390051, 3.8504167623972734, 3.786130597697208, 3.60213603410708, 3.3075672741707005, 2.9162503410401475, 2.4460887448190394, 1.9182398234901301, 1.3561187156582692, 0.7842771863628217, 0.22721264518794526, -0.29183187491430285, -0.7520136881049266, -1.1359203358406562, -1.4304258459291492, -1.6273237009907846, -1.7236977588304065, -1.7220058389798205, -1.6298660604289719, -1.459552484492608, -1.2272232828436715, -0.9519205607316613, -0.6543951674300168, -0.35582142593037547, -0.07647493138461177, 0.16554921204709405, 0.3555005280425806, 0.48294723457745115, 0.5424969963937403, 0.5342144000639838, 0.46370190994277055, 0.3418303538526313, 0.1841257821277059, 0.009840642440703555, -0.15924265261285947, -0.30020977933485, -0.3905336856512213, -0.40962432095569845, -0.3403134432240326, -0.1701798406056047, 0.10737303243765701, 0.4923626823561373, 0.9778547205645086, 1.5500081477656866, 2.1885507609899677, 2.8676704429239286, 3.55728187110383, 4.224603605547065, 4.835959176848236, 5.358699155792961, 5.763130448323358, 6.02433510256308, 6.12376421305031, 6.0505030900958925, 5.802121292668276, 5.385044510341098, 4.814413319147098, 4.113424879512657, 3.3121857949871667, 2.446135577796577, 1.554128435533174, 0.6762844948091349, -0.1482615372690376, -0.8835771785079458, -1.4989768463819002, -1.9707651548709664, -2.283566472867041, -2.431152916921842, -2.4167137082562546, -2.2525439280710775, -1.9591679372158395, -1.5639496639488089, -1.099276139024248, -0.6004297231848539, -0.10328636438711557, 0.35800969050653936, 0.7532410966244028, 1.0580359902382581, 1.2553805501933302, 1.3366223606065772, 1.3018950732486776, 1.1599338444257727, 0.9272927072053387, 0.6270165973096593, 0.2868592827696414, -0.0628288008182024, -0.3913942494701532, -0.6701928932335202, -0.8747543111122621, -0.9866410714046153, -0.9948651025080237, -0.8967537838735947, -0.6981967703042509, -0.4132486342101969, -0.06310907101382013, 0.325451655546158, 0.722112493378499, 1.095322416768749, 1.4147533124758689, 1.6537031084231464, 1.7912675624408674, 1.8141127601171088, 1.7177066867082824, 1.506905588243952, 1.1958367190210955, 0.8070702939794401, 0.3701263598694815, -0.0805870100590911, -0.5082631173283761, -0.8764373516149064, -1.1517800397436229, -1.3067336634081594, -1.3217933652399074, -1.1872514850258986, -0.904262550749128, -0.48513235071110694, 0.047209826920511525, 0.6605369387599689, 1.3153693752421147, 1.9676059029106459, 2.5715602891978673, 3.08318959941724, 3.4632814703812014, 3.6803659603356205, 3.7131333328458935, 3.5521715250613646, 3.2008839735290864, 2.675506672752346, 2.0042086488112973, 1.225327643359588, 0.38485765152153706, -0.46663791864926474, -1.277468762225949, -1.9983680362541623, -2.585891876589574, -3.0054179274776494, -3.2335203120254223, -3.2595432482640097, -3.0862543051121487, -2.729526767918191, -2.217073595744832, -1.5863274191391568, -0.8816263594950623, -0.15091899404305797, 0.557760765027358, 1.1997798710687289, 1.7370870268844791, 2.140845332162879, 2.393316484040255, 2.4888550801799973, 2.433941879108483, 2.24626123503577, 1.952904295494101, 1.5878497981008977, 1.188932705279578, 0.7945526289549129, 0.4403954623811978, 0.15644089007436965, -0.03549469221195528, -0.1234742024533108, -0.10627046428137292, 0.006759209028660592, 0.19674462223520187, 0.43723028360946414, 0.6967950343402857, 0.9421389817057839, 1.1413703677934695, 1.267204394859517, 1.299789504431037, 1.228904265125182, 1.055317940517037, 0.7911761641166658, 0.45935451194596383, 0.09181051352229232, -0.27294849948611644, -0.593085680844948], 'positive_zeros': ['1.62234241986152846072797458785246', '2.55769374648017486053446027619449', '3.17581378630306381035729390320989', '4.28303909530734965116018440425561', '5.35701155000773536628563734027895', '6.16973630695720549709955745129986', '6.68297666436327708025664872979254', '7.06976112393957234715857435112358', '8.367961379575979254826563609232341', '9.094625951448024448834513258631484'], 'prelabel': '2-3328-104.37-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2887545778939573, 'root_angle': 0.20218776385096696, 'root_number': '0.29591486883640676953263681666444 + 0.95521431647642937622823770302222*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.20218776385096696', 'prec': 64}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.62234241986152846072797458785', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.55769374648017486053446027619', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.17581378630306381035729390321', 'prec': 103}}
