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lfunc_lfunctions • Show schema
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{'Lhash': '591119236495073775685365821999', 'a10': [0.0, 0.0], 'a2': [-5.262087348130012, 0.0], 'a3': [0.0, 0.0], 'a4': [-4.31043674065006, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-131.04834939252004, 0.0], 'a8': [191.06868977804982, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 36.08635945792065, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5], 'central_character': '225.1', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'euler_factors': [[[1.0, 0], [5.262087348130012, 0], [32.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [131.04834939252004, 0], [16807.0, 0]], [[1.0, 0], [290.1043674065006, 0], [161051.0, 0]], [[1.0, 0], [68.38679514016037, 0], [371293.0, 0]], [[1.0, 0], [310.6438793456816, 0], [1419857.0, 0]], [[1.0, 0], [2133.3461143691006, 0], [2476099.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 36.08635945792065, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/6/a/s/1/1'], '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': '2-15e2-1.1-c5-0-1', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-15e2-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.007192310715602, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.46631085599505725640030348152', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '591119236495073775685365821999', 'Lhash_array': ['591119236495073775685365821999'], 'label': '2-15e2-1.1-c5-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/6/a/s/1/1'}