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lfunc_lfunctions • Show schema
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{'Lhash': '3682202107578381422612788047944', 'a10': [-2.2045463977748287, 3.8287755904205176], 'a2': [0.09415314203532837, 1.41107589655726], 'a3': [0.553854089579469, -2.784412537418272], 'a4': [-1.9822703716897505, 0.26571445862236803], 'a5': [2.59756398942801, 1.7356367683642278], 'a6': [3.981164520385787, 0.5193689668947628], 'a7': [-1.9650841713825682, 0.8139645149913551], 'a8': [-0.5615802517869132, -2.7721160907874958], 'a9': [-4.674560228454297, -1.9362662447556436], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5110425729361947, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.09415314203532837, -1.41107589655726]]]], 'bad_primes': [2], 'central_character': '64.61', 'coefficient_field': 'CDF', 'conductor': 64, 'conductor_radical': 2, 'conjugate': '3286573400847824819943153188942', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.09415314203532837, -1.41107589655726]], [[1.0, 0], [-0.553854089579469, 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'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.90474528779099946316428149210', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.52415553177435576722209162203', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.55077250165240194182667676575', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5110425729361947, 'bad_primes': [2], 'central_character': '64.61', 'conductor': 64, 'conductor_radical': 2, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/64/2/i/a/61/4'], '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': '2-2e6-64.61-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': '2-2e6-64.61-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7148724172439406, 'root_angle': -0.04799776698784084, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.90474528779099946316428149210', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3682202107578381422612788047944', 'Lhash_array': ['3682202107578381422612788047944'], 'label': '2-2e6-64.61-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/64/2/i/a/61/4'}