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lfunc_lfunctions • Show schema
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{'Lhash': '556191848077723877182240908215', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-2.114767665853138, 0.7264693520459553], 'a6': [0, 0], 'a7': [-3.61001505869987, -3.61001505869987], '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], [2.114767665853138, -0.7264693520459553]]]], 'bad_primes': [2, 3, 5], 'central_character': '2880.737', 'coefficient_field': 'CDF', 'conductor': 2880, 'conductor_radical': 30, 'conjugate': '700854000374363664097117071544', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.114767665853138, -0.7264693520459553]], [[1.0, 0], [3.61001505869987, 3.61001505869987], [0, 7.0]], [[1.0, 0], [3.2643512947333786, 0], [11.0, 0]], [[1.0, 0], [-3.3787155622629306, -3.3787155622629306], [0, 13.0]], 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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': '120.77', 'conductor': 2880, 'conductor_radical': 30, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2880/2/bj/f/737/1'], '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': '2-2880-120.77-c1-0-11', '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': '2-2880-120.77-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.795509960591132, 'root_angle': -0.030390531652686563, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.43875800475114073259303501880', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '556191848077723877182240908215', 'Lhash_array': ['556191848077723877182240908215'], 'label': '2-2880-120.77-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2880/2/bj/f/737/1'}