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lfunc_lfunctions • Show schema
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{'Lhash': '2610506284105316919988299193261', 'a10': [2.5716953127138735, 0.0], 'a2': [1.604421091990312, 0.0], 'a3': [0.42792693125240294, 0.0], 'a4': [0.574167040423385, 0.0], 'a5': [1.60288051905603, 0.0], 'a6': [0.6865749943320435, 0.0], 'a7': [0.7961037941189296, 0.0], 'a8': [-2.287636473999691, 0.0], 'a9': [-2.8168785415089013, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 21.312072299479745, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [-1.0, 0]]], [157, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [17, 157], 'central_character': '2669.1', 'coefficient_field': 'CDF', 'conductor': 2669, 'conductor_radical': 2669, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.604421091990312, 0], [2.0, 0]], [[1.0, 0], [-0.42792693125240294, 0], [3.0, 0]], [[1.0, 0], [-1.60288051905603, 0], [5.0, 0]], [[1.0, 0], [-0.7961037941189296, 0], [7.0, 0]], [[1.0, 0], [5.124108947673631, 0], [11.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 21.312072299479745, 'bad_primes': [17, 157], 'central_character': '1.1', 'conductor': 2669, 'conductor_radical': 2669, 'degree': 2, 'index': 196, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2669/2/a/b/1/35'], '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': '2-2669-1.1-c1-0-196', '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': '2-2669-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.61650000535901, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.05932635036446012770256120061', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2610506284105316919988299193261', 'Lhash_array': ['2610506284105316919988299193261'], 'label': '2-2669-1.1-c1-0-196', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2669/2/a/b/1/35'}