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lfunc_lfunctions • Show schema
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{'Lhash': '1632065256541630821053648870752', 'a10': [0.0, 0.0], 'a2': [-0.5697450924061513, -1.2943687765390148], 'a3': [-1.474920516393716, 0.9080801012690972], 'a4': [-1.3507810593582121, 1.474920516393716], 'a5': [0.0, 0.0], 'a6': [2.0157192555835723, 1.3917168830870772], 'a7': [-2.509668878813214, 0.0], 'a8': [2.6786919437813497, 0.9080801012690972], 'a9': [1.3507810593582121, -2.6786919437813497], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.3955120606384126, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.5697450924061513, 1.2943687765390148]]], [3, [[1.0, 0], [1.474920516393716, -0.9080801012690972]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '300.299', 'coefficient_field': 'CDF', 'conductor': 300, 'conductor_radical': 30, 'conjugate': '1020985056025777313904568381102', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.5697450924061513, 1.2943687765390148]], [[1.0, 0], 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.33855979467151963496962714324', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.3955120606384126, 'bad_primes': [2, 3, 5], 'central_character': '60.59', 'conductor': 300, 'conductor_radical': 30, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/300/2/h/c/299/5'], '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': '2-300-60.59-c1-0-8', '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': '2-300-60.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5477441844951034, 'root_angle': 0.2063878550725882, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.28747247565519374857029627366', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1632065256541630821053648870752', 'Lhash_array': ['1632065256541630821053648870752'], 'label': '2-300-60.59-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/300/2/h/c/299/5'}