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lfunc_lfunctions • Show schema
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{'Lhash': '1502123694285150689827152397734', 'a10': [2.0, -3.4641016151377544], 'a2': [-2.0, 0.0], 'a3': [0.0, 0.0], 'a4': [4.0, 0.0], 'a5': [-1.0, 1.7320508075688772], 'a6': [0.0, 0.0], 'a7': [6.0, -3.4641016151377544], 'a8': [-8.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.82836056527362, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [2.0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '324.271', 'coefficient_field': 'CDF', 'conductor': 324, 'conductor_radical': 6, 'conjugate': '1183737806001806064016252775029', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.0, -1.7320508075688772], [-12.5, -21.650635094610966]], [[1.0, 0], [-6.0, 3.4641016151377544], [24.5, -42.4352447854375]], [[1.0, 0], [-6.0, 3.4641016151377544], [60.5, -104.78907385791707]], [[1.0, 0], [1.0, -1.7320508075688772], [-84.5, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.82836056527362, 'bad_primes': [2, 3], 'central_character': '36.31', 'conductor': 324, 'conductor_radical': 6, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/324/3/f/a/271/1'], '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': '2-18e2-36.31-c2-0-24', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-18e2-36.31-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9712557219589195, 'root_angle': 0.05555555555555555, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.18496665722771437086411830623', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1502123694285150689827152397734', 'Lhash_array': ['1502123694285150689827152397734'], 'label': '2-18e2-36.31-c2-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/324/3/f/a/271/1'}