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lfunc_lfunctions • Show schema
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{'Lhash': '3990710033491740153675888295176', 'a10': [-2.080706687830873, -0.8189381412633545], 'a2': [0.8005412409243604, -0.599277666511347], 'a3': [-1.199046331634375, -0.44722115969031506], 'a4': [0.28173255684142967, -0.9594929736144974], 'a5': [-1.1749201755623, -1.9025148044250941], 'a6': [-1.2278956912460952, 0.36054270551472245], 'a7': [-4.1011578761213165, 0.8921522872345052], 'a8': [-0.3494641795990983, -0.9369497249997617], 'a9': [-1.0295433833316738, -0.8921044199239687], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8005412409243604, 0.599277666511347]]], [5, [[1.0, 0], [1.1749201755623, 1.9025148044250941]]], [23, [[1.0, 0], [4.754479208033352, 0.6284325424248388]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.107', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': 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0.42648836256015965, 'root_number': '-0.8952130655544006 + 0.44563838171851006*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.42648836256', 'prec': 44}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '3.14811512949486847703030957772', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.98044049032814238358870419279', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.63449111450769324217743445423', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'bad_primes': [2, 5, 23], 'central_character': '115.107', 'conductor': 230, 'conductor_radical': 230, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/230/2/l/a/107/8'], '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': '2-230-115.107-c1-0-11', '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': '2-230-115.107-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.355197124587213, 'root_angle': 0.42648836256015965, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.14811512949486847703030957772', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3990710033491740153675888295176', 'Lhash_array': ['3990710033491740153675888295176'], 'factors': ['2-230-115.107-c1-0-11'], 'label': '2-230-115.107-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/230/2/l/a/107/8'}