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lfunc_lfunctions • Show schema
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{'Lhash': '1867013155882998938924559184600', 'a10': [1.4171554286579282, 0.1320235310149682], 'a2': [-0.4500844056081366, 0.4500844056081366], 'a3': [-1.129351655989651, 1.3132268795274613], 'a4': [0.0, 1.5948480556567406], 'a5': [-1.4276565480051897, -1.7209871530426673], 'a6': [-0.08275937069207859, -1.0993665083094122], 'a7': [0.16660610205658005, 0.16660610205658005], 'a8': [-1.6179850503818298, -1.6179850503818298], 'a9': [-0.4491296742268662, -2.9661899021689204], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.7130436939895395, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.129351655989651, -1.3132268795274613]]], [5, [[1.0, 0], [1.4276565480051897, 1.7209871530426673]]], [31, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [3, 5, 31], 'central_character': '465.32', 'coefficient_field': 'CDF', 'conductor': 465, 'conductor_radical': 465, 'conjugate': '374703772579101021826138784269', 'degree': 2, 'euler_factors': 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'root_number': '0.5105453969682338 + 0.8598507996359301*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.164721763359', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.47281368820940056538321809743', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.84063510695134306005671742690', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.55852945164061491914411582468', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.7130436939895395, 'bad_primes': [3, 5, 31], 'central_character': '15.2', 'conductor': 465, 'conductor_radical': 465, 'degree': 2, 'index': 35, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/465/2/k/a/32/14'], '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': '2-465-15.2-c1-0-35', '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': '2-465-15.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9269259700334986, 'root_angle': 0.16472176335915084, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.47281368820940056538321809743', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1867013155882998938924559184600', 'Lhash_array': ['1867013155882998938924559184600'], 'factors': ['2-465-15.2-c1-0-35'], 'label': '2-465-15.2-c1-0-35', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/465/2/k/a/32/14'}