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lfunc_lfunctions • Show schema
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{'Lhash': '624964621032598340568665197578', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.2263580230601487, 0.0], 'a4': [0.0, 0.0], 'a5': [-2.5116627363140682, 0.0], 'a6': [0.0, 0.0], 'a7': [-2.5624639307368526, 0.0], 'a8': [0.0, 0.0], 'a9': [1.9566700468442946, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.07196258187541, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [17, [[1.0, 0], [1.0, 0]]], [59, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 17, 59], 'central_character': '8024.1', 'coefficient_field': 'CDF', 'conductor': 8024, 'conductor_radical': 2006, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.2263580230601487, 0], [3.0, 0]], [[1.0, 0], [2.5116627363140682, 0], [5.0, 0]], [[1.0, 0], [2.5624639307368526, 0], [7.0, 0]], [[1.0, 0], [-5.69257641437829, 0], [11.0, 0]], [[1.0, 0], [1.7088060539783203, 0], [13.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-6.203024874953043, 0], 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'4.98104669214789752688919501585477', '5.89192753254768691523452999854845', '6.45500947124253046931912110270562', '7.08059440141176787747850396807958', '7.46015173644626475347103483220589'], 'prelabel': '2-8024-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.004496397767658, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.49301015667888212065536675226', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.33549198685540224866846424699', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.97918218757413346337324589273', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.07196258187541, 'bad_primes': [2, 17, 59], 'central_character': '1.1', 'conductor': 8024, 'conductor_radical': 2006, 'degree': 2, 'index': 37, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8024/2/a/bc/1/7'], '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': '2-8024-1.1-c1-0-37', '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': '2-8024-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.004496397767658, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.49301015667888212065536675226', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '624964621032598340568665197578', 'Lhash_array': ['624964621032598340568665197578'], 'label': '2-8024-1.1-c1-0-37', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8024/2/a/bc/1/7'}