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lfunc_lfunctions • Show schema
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{'Lhash': '1098298415167436978207838691066', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.4482877360840268, -1.6730326074756159], 'a4': [-1.7320508075688772, 1.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [0.189468690981506, 2.6389584337646843], 'a8': [0.0, 0.0], 'a9': [-2.598076211353316, -1.5], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.192146106117222, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.4482877360840268, 1.6730326074756159]]], [5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-0.189468690981506, -2.6389584337646843]]]], 'bad_primes': [3, 5, 7], 'central_character': '525.443', 'coefficient_field': 'CDF', 'conductor': 525, 'conductor_radical': 105, 'conjugate': '1856753445682025932124271327508', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0], [1.7320508075688772, -1.0]], [[1.0, 0], [-0.4482877360840268, 1.6730326074756159]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.189468690981506, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.192146106117222, 'bad_primes': [3, 5, 7], 'central_character': '105.23', 'conductor': 525, 'conductor_radical': 105, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/525/2/bf/c/443/2'], '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': '2-525-105.23-c1-0-14', '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': '2-525-105.23-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0474731026602577, 'root_angle': -0.0744131722375726, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.866404681991786976776496362435', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1098298415167436978207838691066', 'Lhash_array': ['1098298415167436978207838691066'], 'label': '2-525-105.23-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/525/2/bf/c/443/2'}