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lfunc_lfunctions • Show schema
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{'Lhash': '2540694351097018731509987581314', 'a10': [-14.203099399839969, -2.5043896338759923], 'a2': [3.5507748499599923, -0.6260974084689981], 'a3': [2.3176036859577507, 2.7620125189497324], 'a4': [8.457233587073176, -3.0781812899310186], 'a5': [-3.7587704831436337, -1.3680805733026749], 'a6': [9.958577760546714, 8.35623892592501], 'a7': [2.5, -4.330127018922194], 'a8': [15.612494995995995, -9.013878188659973], 'a9': [-0.6945927106677214, 3.939231012048832], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.836537543406719, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[19, [[1.0, 0], [0, 0]]]], 'bad_primes': [19], 'central_character': '361.333', 'coefficient_field': 'CDF', 'conductor': 361, 'conductor_radical': 19, 'conjugate': '2499382477082884582516913980119', 'degree': 2, 'euler_factors': [[[1.0, 0], [-3.5507748499599923, 0.6260974084689981], [3.7587704831436337, -1.3680805733026749]], [[1.0, 0], [-2.3176036859577507, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.836537543406719, 'bad_primes': [19], 'central_character': '19.10', 'conductor': 361, 'conductor_radical': 19, 'degree': 2, 'index': 39, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/361/3/f/d/333/2'], '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': '2-19e2-19.10-c2-0-39', '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': '2-19e2-19.10-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1363254842899706, 'root_angle': -0.0025155432095716234, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.00425444569630538487625309990', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2540694351097018731509987581314', 'Lhash_array': ['2540694351097018731509987581314'], 'label': '2-19e2-19.10-c2-0-39', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/361/3/f/d/333/2'}