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lfunc_lfunctions • Show schema
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{'Lhash': '1215891461337145519439820715063', 'a10': [-2.3565806171890147, -1.5746168269403766], 'a2': [-2.14595803024502, 0.8888849204109398], 'a3': [-0.289938052941528, -0.05767226450404796], 'a4': [2.4008059034660287, -2.4008059034660287], 'a5': [0.6779052700261713, 1.0145569336624722], 'a6': [0.6734588992270772, -0.13395930397815647], 'a7': [0.0, 0.0], 'a8': [-1.2402187023561797, 2.9941528115370497], 'a9': [-2.690900613083361, -1.1146075289372044], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.651538488372659, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, 0]]], [17, [[1.0, 0], [-1.273509242970309, 3.9215015246802074]]]], 'bad_primes': [7, 17], 'central_character': '833.48', 'coefficient_field': 'CDF', 'conductor': 833, 'conductor_radical': 119, 'conjugate': '936829046737640007748574121043', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.14595803024502, -0.8888849204109398], [1.4142135623730951, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.651538488372659, 'bad_primes': [7, 17], 'central_character': '119.48', 'conductor': 833, 'conductor_radical': 119, 'degree': 2, 'index': 20, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/833/2/t/b/48/1'], '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': '2-833-119.48-c1-0-20', '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': '2-833-119.48-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.5790576744952136, 'root_angle': -0.04820966167765899, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.959169238840919491636819554037', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1215891461337145519439820715063', 'Lhash_array': ['1215891461337145519439820715063'], 'factors': ['2-833-119.48-c1-0-20'], 'label': '2-833-119.48-c1-0-20', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/833/2/t/b/48/1'}