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lfunc_lfunctions • Show schema
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{'Lhash': '1573156428357601806404584913207', 'a10': [0.0, 0.0], 'a2': [-0.9829730996839018, 0.18374951781657034], 'a3': [1.0247405888676577, 1.3569758424821874], 'a4': [0.9324722294043558, -0.3612416661871529], 'a5': [0.0, 0.0], 'a6': [-1.2566360897559847, -1.1455751609893894], 'a7': [0.0, 0.0], 'a8': [-0.8502171357296141, 0.5264321628773558], 'a9': [-0.5176271725353255, 1.8192708046359467], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5469752538457706, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.9829730996839018, -0.18374951781657034]]], [137, [[1.0, 0], [-0.092268359463302, -0.9957341762950345]]]], 'bad_primes': [2, 137], 'central_character': '1096.427', 'coefficient_field': 'CDF', 'conductor': 1096, 'conductor_radical': 274, 'conjugate': '2325154812849162007959631269701', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.9829730996839018, -0.18374951781657034]], [[1.0, 0], [-1.0247405888676577, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5469752538457706, 'bad_primes': [2, 137], 'central_character': '1096.427', 'conductor': 1096, 'conductor_radical': 274, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1096/1/s/a/427/1'], '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': '2-1096-1096.427-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-1096-1096.427-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7395777537526197, 'root_angle': -0.25066425194134745, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.24100160412843156705633585070', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1573156428357601806404584913207', 'Lhash_array': ['1573156428357601806404584913207'], 'label': '2-1096-1096.427-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1096/1/s/a/427/1'}