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lfunc_lfunctions • Show schema
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{'Lhash': '2710815689674072527098811133341', 'a10': [2.366025403784439, -2.098076211353316], 'a2': [-0.36602540378443865, 1.3660254037844386], 'a3': [0.0, 0.0], 'a4': [-1.7320508075688772, -1.0], 'a5': [-1.8660254037844386, -1.2320508075688772], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [2.0, -2.0], 'a9': [-2.598076211353316, -1.5], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.36602540378443865, -1.3660254037844386]]], [5, [[1.0, 0], [1.8660254037844386, 1.2320508075688772]]], [13, [[1.0, 0], [-0.2320508075688773, 3.598076211353316]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.23', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '554711540263154147964143638668', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.36602540378443865, -1.3660254037844386]], [[1.0, 0], [0, 0], [2.598076211353316, 1.5]], 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'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.13845651884361027847611206064', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.53397698297726739596700015736', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.49988109252360874053445407454', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '260.23', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/bg/b/23/1'], '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': '2-260-260.23-c1-0-26', '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': '2-260-260.23-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.19327009239357448, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.13845651884361027847611206064', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2710815689674072527098811133341', 'Lhash_array': ['2710815689674072527098811133341'], 'label': '2-260-260.23-c1-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/bg/b/23/1'}