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lfunc_lfunctions • Show schema
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{'Lhash': '1630665248897905901561140438043', 'a10': [-1.1828210089401315e-60, -2.992938262862782], 'a2': [0.5256615617859073, -1.6178199348343192], 'a3': [0.0, 0.0], 'a4': [-0.7229872752582265, -0.5252810026818195], 'a5': [1.6733247205253043, -0.5436961598920947], 'a6': [0.0, 0.0], 'a7': [-1.6497695383754178, 2.270712965563999], 'a8': [1.5225429728777322, -1.1061922205113852], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.1146708200960855, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [-3.044246811961977, -1.3162679620272382]]]], 'bad_primes': [3, 11], 'central_character': '891.728', 'coefficient_field': 'CDF', 'conductor': 891, 'conductor_radical': 33, 'conjugate': '1876652037793195692702327512672', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5256615617859073, 1.6178199348343192], [-1.618033988749895, -1.1755705045849463]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.1146708200960855, 'bad_primes': [3, 11], 'central_character': '33.2', 'conductor': 891, 'conductor_radical': 33, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/891/2/k/a/728/17'], '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': '2-891-33.2-c1-0-22', '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': '2-891-33.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.66733402859411, 'root_angle': 0.16845089679463876, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.28636806435804857279145406620', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1630665248897905901561140438043', 'Lhash_array': ['1630665248897905901561140438043'], 'factors': ['2-891-33.2-c1-0-22'], 'label': '2-891-33.2-c1-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/891/2/k/a/728/17'}