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lfunc_lfunctions • Show schema
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{'Lhash': '1685567138480802807380781583833', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-0.22474487139158905, 2.224744871391589], 'a6': [0, 0], 'a7': [1.4142135623730951, -1.4142135623730951], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 22.996915782128763, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.22474487139158905, -2.224744871391589]]]], 'bad_primes': [2, 3, 5], 'central_character': '2880.1313', 'coefficient_field': 'CDF', 'conductor': 2880, 'conductor_radical': 30, 'conjugate': '66416448469293704594362514119', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.22474487139158905, -2.224744871391589]], [[1.0, 0], [-1.4142135623730951, 1.4142135623730951], [0, -7.0]], [[1.0, 0], [3.4641016151377544, 0], [11.0, 0]], [[1.0, 0], [3.1462643699419726, -3.1462643699419726], [0, 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'z1': {'__RealLiteral__': 0, 'data': '1.32967801867275666417526736575', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.48306486893785869636420173832', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.37045635318452175102819753242', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 22.996915782128763, 'bad_primes': [2, 3, 5], 'central_character': '120.53', 'conductor': 2880, 'conductor_radical': 30, 'degree': 2, 'index': 37, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2880/2/bj/c/1313/2'], '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': '2-2880-120.53-c1-0-37', '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': '2-2880-120.53-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.795509960591132, 'root_angle': 0.3811710117919836, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.32967801867275666417526736575', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1685567138480802807380781583833', 'Lhash_array': ['1685567138480802807380781583833'], 'label': '2-2880-120.53-c1-0-37', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2880/2/bj/c/1313/2'}