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lfunc_lfunctions • Show schema
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{'Lhash': '982412110888038463697111954070', 'a10': [0.0, 0.0], 'a2': [0.5, -0.8660254037844386], 'a3': [-0.5, -0.8660254037844386], 'a4': [-0.5, -0.8660254037844386], 'a5': [0.0, 0.0], 'a6': [-1.0, 0.0], 'a7': [-0.5, 2.598076211353316], 'a8': [-1.0, 0.0], 'a9': [-0.5, 0.8660254037844386], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.713548835255689, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.5, 0.8660254037844386]]], [3, [[1.0, 0], [0.5, 0.8660254037844386]]], [7, [[1.0, 0], [0.5, -2.598076211353316]]], [23, [[1.0, 0], [-0.5, 0.8660254037844386]]]], 'bad_primes': [2, 3, 7, 23], 'central_character': '966.415', 'coefficient_field': 'CDF', 'conductor': 966, 'conductor_radical': 966, 'conjugate': '1733834918375330125054054612209', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5, 0.8660254037844386]], [[1.0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [-2.5, -4.330127018922194]], [[1.0, 0], [0.5, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.713548835255689, 'bad_primes': [2, 3, 7, 23], 'central_character': '7.2', 'conductor': 966, 'conductor_radical': 966, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/966/2/i/f/415/1'], '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': '2-966-7.2-c1-0-7', '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': '2-966-7.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.777327642763037, 'root_angle': 0.020172953053946126, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.77498650709522305043262604468', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '982412110888038463697111954070', 'Lhash_array': ['982412110888038463697111954070'], 'label': '2-966-7.2-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/966/2/i/f/415/1'}