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lfunc_lfunctions • Show schema
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{'Lhash': '658854466151572382831492346640', 'a10': [0.0, 0.0], 'a2': [-1.0, 0.0], 'a3': [-1.7320508075688772, 0.0], 'a4': [1.0, 0.0], 'a5': [0.0, 0.0], 'a6': [1.7320508075688772, 0.0], 'a7': [0.0, 0.0], 'a8': [-1.0, 0.0], 'a9': [2.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.6628846220931641, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [7, [[1.0, 0], [0, 0]]], [17, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 7, 17], 'central_character': '3332.883', 'coefficient_field': 'CDF', 'conductor': 3332, 'conductor_radical': 238, 'degree': 2, 'euler_factors': [[[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], [1.7320508075688772, 0], [1.0, 0]], [[1.0, 0], [1.0, 0], [1.0, 0]], [[1.0, 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]], 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'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.51974453057723587216119713507', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.98330077646091093478117271983', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.94083115754563720068588777951', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.6628846220931641, 'bad_primes': [2, 7, 17], 'central_character': '68.67', 'conductor': 3332, 'conductor_radical': 238, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3332/1/g/f/883/1'], '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': '2-3332-68.67-c0-0-2', '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': '2-3332-68.67-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2895288372476066, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.51974453057723587216119713507', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '658854466151572382831492346640', 'Lhash_array': ['658854466151572382831492346640'], 'label': '2-3332-68.67-c0-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3332/1/g/f/883/1'}