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lfunc_lfunctions • Show schema
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{'Lhash': '1183445585852005339667130616475', 'a10': [1886.6906605004326, -3149.307339348853], 'a2': [-9.705357097388376, -5.814296484715333], 'a3': [0.0, 40.21628362775856], 'a4': [60.38791277565383, 112.85964730850449], 'a5': [0.0, 324.4916501007782], 'a6': [233.8293965251914, -390.31339373725046], 'a7': [-956.9604428798726, 0.0], 'a8': [70.11319275838795, -1446.4564079851232], 'a9': [569.6505311716788, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.499080203872975, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [9.705357097388376, 5.814296484715333]]]], 'bad_primes': [2], 'central_character': '8.5', 'coefficient_field': 'CDF', 'conductor': 8, 'conductor_radical': 2, 'conjugate': '4139178240347618840858138004265', 'degree': 2, 'euler_factors': [[[1.0, 0], [9.705357097388376, 5.814296484715333]], [[1.0, 0], [0, -40.21628362775856], [-2187.0, 0]], [[1.0, 0], [0, -324.4916501007782], [-78125.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.499080203872975, 'bad_primes': [2], 'central_character': '8.5', 'conductor': 8, 'conductor_radical': 2, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8/8/b/a/5/1'], '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': '2-2e3-8.5-c7-0-0', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-2e3-8.5-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.58084793825117, 'root_angle': -0.2422914137438412, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '0.933573956135023573850337573008', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1183445585852005339667130616475', 'Lhash_array': ['1183445585852005339667130616475'], 'label': '2-2e3-8.5-c7-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8/8/b/a/5/1'}