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lfunc_lfunctions • Show schema
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{'Lhash': '3205884869666572357729466293024', 'a10': [0.0, 0.0], 'a2': [1.7320508075688772, 0.0], 'a3': [0.0, 0.0], 'a4': [2.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-1.0, 0.0], 'a8': [1.7320508075688772, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.28296986216291237, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 7], 'central_character': '567.244', 'coefficient_field': 'CDF', 'conductor': 567, 'conductor_radical': 21, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.7320508075688772, 0], [1.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [1.7320508075688772, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [-1.0, 0], [1.0, 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0, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.52899724031951772135360380788', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.20497650277098718036239044932', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.42938801666431015361494420647', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.28296986216291237, 'bad_primes': [3, 7], 'central_character': '7.6', 'conductor': 567, 'conductor_radical': 21, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/567/1/d/c/244/2'], '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': '2-567-7.6-c0-0-3', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-567-7.6-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.531949116140738, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '2.52899724031951772135360380788', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3205884869666572357729466293024', 'Lhash_array': ['3205884869666572357729466293024'], 'factors': ['2-567-7.6-c0-0-3'], 'label': '2-567-7.6-c0-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/567/1/d/c/244/2'}