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lfunc_lfunctions • Show schema
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{'Lhash': '1775326315037920683347493476993', 'a10': [0.4859966116533797, -3.1247091534191522], 'a2': [-1.349826950318018, 0.4218615936479154], 'a3': [-1.9091033403057545, 1.9091033403057545], 'a4': [1.6440655916096822, -1.1388802968201293], 'a5': [-0.9871030536603018, 2.006396661045494], 'a6': [1.7715817621069136, -3.382336517266802], 'a7': [-3.1510155181791957, -3.1510155181791957], 'a8': [-1.7387541866545349, 2.2308594483721578], 'a9': [0.0, -4.289351127933179], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.349826950318018, -0.4218615936479154]]], [5, [[1.0, 0], [0.9871030536603018, -2.006396661045494]]], [13, [[1.0, 0], [-0.7071067811865476, -0.7071067811865476]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.183', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '214604264885513704029505819703', 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0.37890250913705, 'root_number': '0.37132810597808547 + 0.9285017165900813*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.189451254569', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.40048552394349729366520418402', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.22653165728225866435590829352', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.50904723096633959441106975004', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '20.3', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/o/a/183/4'], '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': '2-260-20.3-c1-0-16', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-260-20.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.189451254568525, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.40048552394349729366520418402', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1775326315037920683347493476993', 'Lhash_array': ['1775326315037920683347493476993'], 'label': '2-260-20.3-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/o/a/183/4'}