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lfunc_lfunctions • Show schema
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{'Lhash': '1771732203535387642671568692672', 'a10': [3.8601518657269676, 0.0], 'a2': [0.9664568193122459, 0.0], 'a3': [1.1814278924379653, 0.0], 'a4': [-1.0659612164048569, 0.0], 'a5': [3.994127609833562, 0.0], 'a6': [1.1417990431723661, 0.0], 'a7': [0.5965149027957796, 0.0], 'a8': [-2.9631191253413425, 0.0], 'a9': [-1.6042281349695873, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.93152003671329, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[37, [[1.0, 0], [0, 0]]]], 'bad_primes': [37], 'central_character': '1369.1', 'coefficient_field': 'CDF', 'conductor': 1369, 'conductor_radical': 37, 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.9664568193122459, 0], [2.0, 0]], [[1.0, 0], [-1.1814278924379653, 0], [3.0, 0]], [[1.0, 0], [-3.994127609833562, 0], [5.0, 0]], [[1.0, 0], [-0.5965149027957796, 0], [7.0, 0]], [[1.0, 0], [-5.387341227498971, 0], [11.0, 0]], [[1.0, 0], [0.8704412077521143, 0], [13.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.93152003671329, 'bad_primes': [37], 'central_character': '1.1', 'conductor': 1369, 'conductor_radical': 37, 'degree': 2, 'index': 48, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1369/2/a/o/1/17'], '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': '2-37e2-1.1-c1-0-48', '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': '2-37e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.3062849297532253, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.39765026989014382833316645918', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1771732203535387642671568692672', 'Lhash_array': ['1771732203535387642671568692672'], 'factors': ['2-37e2-1.1-c1-0-48'], 'label': '2-37e2-1.1-c1-0-48', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1369/2/a/o/1/17'}