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lfunc_lfunctions • Show schema
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{'Lhash': '951055956616913963310684483591', 'a10': [0, -453.3013987906068], 'a2': [-8.108901935932302, 0], 'a3': [-4.2540434059189325, 0], 'a4': [1.75429060656664, 0], 'a5': [0, 55.90169943749474], 'a6': [34.49562080979607, 0], 'a7': [0, -124.79398619421613], 'a8': [504.74435340389124, 0], 'a9': [-710.9031147005577, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 26.45621961628287, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, -55.90169943749474]]], [23, [[1.0, 0], [8740.948311762428, -8463.551950044235]]]], 'bad_primes': [5, 23], 'central_character': '115.91', 'coefficient_field': 'CDF', 'conductor': 115, 'conductor_radical': 115, 'conjugate': '464810692962188554434909247692', 'degree': 2, 'euler_factors': [[[1.0, 0], [8.108901935932302, 0], [64.0, 0]], [[1.0, 0], [4.2540434059189325, 0], [729.0, 0]], [[1.0, 0], [0, -55.90169943749474]], [[1.0, 0], [0, 124.79398619421613], [-117649.0, 0]], [[1.0, 0], [0, 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{'__RealLiteral__': 0, 'data': '0.1275659087060986', 'prec': 60}, 'spectral_label': 'c6-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.75025086285265408142388611098', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.53972757940844834009788544055', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.57202292199668815578999268412', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 26.45621961628287, 'bad_primes': [5, 23], 'central_character': '23.22', 'conductor': 115, 'conductor_radical': 115, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/115/7/d/a/91/14'], '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': '2-115-23.22-c6-0-23', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-115-23.22-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.143560985959326, 'root_angle': 0.12756590870609863, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '0.75025086285265408142388611098', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '951055956616913963310684483591', 'Lhash_array': ['951055956616913963310684483591'], 'label': '2-115-23.22-c6-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/115/7/d/a/91/14'}