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lfunc_lfunctions • Show schema
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{'Lhash': '1865724162351878811619599715881', 'a10': [1.0, 0.0], 'a2': [1.0, 0.0], 'a3': [-2.530206860386386, 0.0], 'a4': [1.0, 0.0], 'a5': [1.0, 0.0], 'a6': [-2.530206860386386, 0.0], 'a7': [1.3469956506076297, 0.0], 'a8': [1.0, 0.0], 'a9': [3.401946756346331, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 32.02001121053345, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [401, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 401], 'central_character': '4010.1', 'coefficient_field': 'CDF', 'conductor': 4010, 'conductor_radical': 4010, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [2.530206860386386, 0], [3.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-1.3469956506076297, 0], [7.0, 0]], [[1.0, 0], [0.5776928160792741, 0], [11.0, 0]], [[1.0, 0], [1.3675051129061127, 0], [13.0, 0]], [[1.0, 0], [-0.7122073183178091, 0], [17.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 32.02001121053345, 'bad_primes': [2, 5, 401], 'central_character': '1.1', 'conductor': 4010, 'conductor_radical': 4010, 'degree': 2, 'index': 108, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4010/2/a/h/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': '2-4010-1.1-c1-0-108', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-4010-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.658622730888979, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.47179685160561711330623566148', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1865724162351878811619599715881', 'Lhash_array': ['1865724162351878811619599715881'], 'label': '2-4010-1.1-c1-0-108', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4010/2/a/h/1/1'}