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lfunc_lfunctions • Show schema
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{'Lhash': '5111799020593776616751392977806', 'a10': [-1.2807764064044151, 0.5996764100727928], 'a2': [-0.5996764100727928, -1.2807764064044151], 'a3': [-0.4682131924621356, -1.6675660126077214], 'a4': [-1.2807764064044151, 1.536102794997064], 'a5': [0.0, -1.0], 'a6': [-1.8550027986654418, 1.599676410072793], 'a7': [0.0, -0.9364263849242712], 'a8': [2.7354556151426497, 0.7192235935955849], 'a9': [-2.5615528128088303, 1.5615528128088303], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.47910241212768256, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.5996764100727928, 1.2807764064044151]]], [3, [[1.0, 0], [0.4682131924621356, 1.6675660126077214]]], [5, [[1.0, 0], [0, 1.0]]]], 'bad_primes': [2, 3, 5], 'central_character': '60.11', 'coefficient_field': 'CDF', 'conductor': 60, 'conductor_radical': 30, 'conjugate': '1926797899665595190428266626546', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.5996764100727928, 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{'__RealLiteral__': 0, 'data': '6.79065912643316171426594024459', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.47910241212768256, 'bad_primes': [2, 3, 5], 'central_character': '12.11', 'conductor': 60, 'conductor_radical': 30, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/60/2/e/a/11/3'], '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': '2-60-12.11-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': '2-60-12.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.6921722416622055, 'root_angle': 0.3170480112243102, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '4.03249840269348818970167844308', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '5111799020593776616751392977806', 'Lhash_array': ['5111799020593776616751392977806'], 'label': '2-60-12.11-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/60/2/e/a/11/3'}