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lfunc_lfunctions • Show schema
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{'Lhash': '842094902336836484192340153335', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-784.3364586487448, 0.0], 'a4': [0.0, 0.0], 'a5': [11907.665263938303, 0.0], 'a6': [0.0, 0.0], 'a7': [21148.310717888806, 0.0], 'a8': [0.0, 0.0], 'a9': [438036.6803656542, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 196.6958542232548, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '256.1', 'coefficient_field': 'CDF', 'conductor': 256, 'conductor_radical': 2, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [784.3364586487448, 0], [177147.0, 0]], [[1.0, 0], [-11907.665263938303, 0], [48828125.0, 0]], [[1.0, 0], [-21148.310717888806, 0], [1977326743.0, 0]], [[1.0, 0], [561002.8927734841, 0], [285311670611.0, 0]], [[1.0, 0], [1107283.7432034272, 0], [1792160394037.0, 0]], [[1.0, 0], [-5370538.124348353, 0], [34271896307633.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 196.6958542232548, 'bad_primes': [2], 'central_character': '1.1', 'conductor': 256, 'conductor_radical': 2, 'degree': 2, 'index': 28, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/256/12/a/q/1/2'], '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': '2-2e8-1.1-c11-0-28', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11], 'order_of_vanishing': 0, 'prelabel': '2-2e8-1.1-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 14.024829917801313, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '0.66429574693943635845046512276', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '842094902336836484192340153335', 'Lhash_array': ['842094902336836484192340153335'], 'factors': ['2-2e8-1.1-c11-0-28'], 'label': '2-2e8-1.1-c11-0-28', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/256/12/a/q/1/2'}