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lfunc_lfunctions • Show schema
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{'Lhash': '895258848465054062745650660628', 'a10': [6.970638765811158, 0], 'a2': [0, -2.5404150885720505], 'a3': [0, 0], 'a4': [-4.45370882224454, 0], 'a5': [0, 2.7438975611380516], 'a6': [0, 0], 'a7': [0, -3.158455934716869], 'a8': [0, 6.233438914992384], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17.17582147477742, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [239, [[1.0, 0], [-13.098137592813572, 8.212112493124039]]]], 'bad_primes': [3, 239], 'central_character': '2151.2150', 'coefficient_field': 'CDF', 'conductor': 2151, 'conductor_radical': 717, 'conjugate': '1097538143212061647709729603056', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 2.5404150885720505], [-2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -2.7438975611380516], [-5.0, 0]], [[1.0, 0], [0, 3.158455934716869], [-7.0, 0]], [[1.0, 0], [0, 3.61764291201509], [-11.0, 0]], [[1.0, 0], [0, -6.680973294207078], [-13.0, 0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 17.17582147477742, 'bad_primes': [3, 239], 'central_character': '717.716', 'conductor': 2151, 'conductor_radical': 717, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2151/2/b/a/2150/5'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-2151-717.716-c1-0-24', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-2151-717.716-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.144372265467645, 'root_angle': 0.2588277658683817, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.70623470560726318322154748402', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '895258848465054062745650660628', 'Lhash_array': ['895258848465054062745650660628'], 'label': '2-2151-717.716-c1-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2151/2/b/a/2150/5'}