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lfunc_lfunctions • Show schema
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{'Lhash': '63634066840634857872748515596', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, -2.6261980685272936], 'a4': [0, 0], 'a5': [-2.193877625179592, -0.43232044334770153], 'a6': [0, 0], 'a7': [0, -0.8646408866954031], 'a8': [0, 0], 'a9': [-3.8969162951364877, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.859654674894138, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [2.193877625179592, 0.43232044334770153]]], [17, [[1.0, 0], [0, -1.0]]]], 'bad_primes': [2, 5, 17], 'central_character': '1360.1089', 'coefficient_field': 'CDF', 'conductor': 1360, 'conductor_radical': 170, 'conjugate': '1650470466708039713587638074333', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 2.6261980685272936], [-3.0, 0]], [[1.0, 0], [2.193877625179592, 0.43232044334770153]], [[1.0, 0], [0, 0.8646408866954031], [-7.0, 0]], [[1.0, 0], [2.0, 0], [11.0, 0]], [[1.0, 0], [0, -2.6261980685272936], 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'3.66618782113900444723781412532', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.859654674894138, 'bad_primes': [2, 5, 17], 'central_character': '5.4', 'conductor': 1360, 'conductor_radical': 170, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1360/2/e/c/1089/2'], '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': '2-1360-5.4-c1-0-0', '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': '2-1360-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.2953990160364706, 'root_angle': -0.2190340478630989, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.05019842757079758475418208918', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '63634066840634857872748515596', 'Lhash_array': ['63634066840634857872748515596'], 'label': '2-1360-5.4-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1360/2/e/c/1089/2'}