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lfunc_lfunctions • Show schema
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{'Lhash': '2523296379760452178627707410946', 'a10': [-1.0, 4.189853881274532e-80], 'a2': [0.19098300562505258, -0.5877852522924731], 'a3': [-0.8090169943749475, 0.5877852522924731], 'a4': [0.5, 0.36327126400268045], 'a5': [-0.5, -1.5388417685876268], 'a6': [0.19098300562505258, 0.5877852522924731], 'a7': [0.0, 0.0], 'a8': [0.8090169943749475, -0.5877852522924731], 'a9': [0.30901699437494745, -0.9510565162951535], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.21409889041955804, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.8090169943749475, -0.5877852522924731]]], [11, [[1.0, 0], [-0.30901699437494745, -0.9510565162951535]]], [13, [[1.0, 0], [-0.30901699437494745, 0.9510565162951535]]]], 'bad_primes': [3, 11, 13], 'central_character': '429.350', 'coefficient_field': 'CDF', 'conductor': 429, 'conductor_radical': 429, 'conjugate': '1749530503590491079521439800888', 'degree': 2, 'euler_factors': [[[1.0, 0], 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0.9510565162951535]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 1, 'label': '2-429-429.350-c0-0-1', 'leading_term': '0.81496221544967028880119180291102', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/429/1/v/b/350/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0703125', 'prec': 30}, 'plot_values': [0.8149622154496703, 0.8409673468005541, 0.8815998432381449, 0.9362085369484976, 1.0032424721913649, 1.0805770375971002, 1.1657906253271493, 1.2563392386230958, 1.3496386631537363, 1.4430876275089057, 1.5340634918809701, 1.6199118064610494, 1.6979416562117275, 1.765432400579446, 1.8196537896660634, 1.85789951477995, 1.877533256408142, 1.8760457510228115, 1.851121054098772, 1.800709906636014, 1.7231078649282778, 1.617035614415926, 1.4817186632015331, 1.3169634132889176, 1.1232264558926837, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.21409889041955804, 'bad_primes': [3, 11, 13], 'central_character': '429.350', 'conductor': 429, 'conductor_radical': 429, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/429/1/v/b/350/1'], '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': '2-429-429.350-c0-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-429-429.350-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.462708213045282, 'root_angle': 0.14271713006960676, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.99052986627873227732121112811', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2523296379760452178627707410946', 'Lhash_array': ['2523296379760452178627707410946'], 'label': '2-429-429.350-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/429/1/v/b/350/1'}