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lfunc_lfunctions • Show schema
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{'Lhash': '2444661249779254007605121209075', 'a10': [35.85414084850079, 0.0], 'a2': [2.0974622490137977, 0.0], 'a3': [7.982255557108809, 0.0], 'a4': [-3.600652113961981, 0.0], 'a5': [17.094057766884237, 0.0], 'a6': [16.742479693016328, 0.0], 'a7': [-31.289242645056287, 0.0], 'a8': [-24.331929872977366, 0.0], 'a9': [36.71640377899447, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 92.81000443903002, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [13.0, 0]]]], 'bad_primes': [11, 13], 'central_character': '1573.1', 'coefficient_field': 'CDF', 'conductor': 1573, 'conductor_radical': 143, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.0974622490137977, 0], [8.0, 0]], [[1.0, 0], [-7.982255557108809, 0], [27.0, 0]], [[1.0, 0], [-17.094057766884237, 0], [125.0, 0]], [[1.0, 0], [31.289242645056287, 0], [343.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [13.0, 0]], [[1.0, 0], [-70.82586710514785, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 92.81000443903002, 'bad_primes': [11, 13], 'central_character': '1.1', 'conductor': 1573, 'conductor_radical': 143, 'degree': 2, 'index': 314, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1573/4/a/h/1/11'], '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': '2-1573-1.1-c3-0-314', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-1573-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.633794913689519, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.92849768645959236309805844837', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2444661249779254007605121209075', 'Lhash_array': ['2444661249779254007605121209075'], 'label': '2-1573-1.1-c3-0-314', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1573/4/a/h/1/11'}