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lfunc_lfunctions • Show schema
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{'Lhash': '1264441423405980244097398214648', 'a10': [-2.6396285070080148, -2.1064511818121363], 'a2': [-1.237151490210735, -0.8662627993529326], 'a3': [0.0, 0.0], 'a4': [0.09609228553652567, 0.26401138469539026], 'a5': [2.231679508366211, 0.1400234692412147], 'a6': [0.0, 0.0], 'a7': [0.677826134542243, 1.4536028364280835], 'a8': [-0.6719575335137045, 2.5077796556018117], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.233941281861857, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-2.231679508366211, -0.1400234692412147]]]], 'bad_primes': [3, 5], 'central_character': '405.152', 'coefficient_field': 'CDF', 'conductor': 405, 'conductor_radical': 15, 'conjugate': '1997688423993311651020455554023', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.237151490210735, 0.8662627993529326], [0.6840402866513374, 1.8793852415718169]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.231679508366211, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.233941281861857, 'bad_primes': [3, 5], 'central_character': '135.122', 'conductor': 405, 'conductor_radical': 15, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/2/r/a/152/4'], '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': '2-405-135.122-c1-0-3', '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': '2-405-135.122-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7983162352216746, 'root_angle': 0.011623775291157254, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.997468405866986239595126058438', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1264441423405980244097398214648', 'Lhash_array': ['1264441423405980244097398214648'], 'label': '2-405-135.122-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/2/r/a/152/4'}