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lfunc_lfunctions • Show schema
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{'Lhash': '2869477365810505180140416295513', 'a10': [1.7320508075688772, 1.3238368577253943e-61], 'a2': [0.8090169943749475, 0.5877852522924731], 'a3': [0.22621614028468748, -0.6962216907975103], 'a4': [0.30901699437494745, 0.9510565162951535], 'a5': [1.4012585384440734, -1.0180739209102543], 'a6': [0.5922415440691261, -0.43028866861778126], 'a7': [-1.4622841177844772, -4.500447755978125], 'a8': [-0.30901699437494745, 0.9510565162951535], 'a9': [1.9935000825131997, 1.4483625895280356], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.9323797289149862, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8090169943749475, -0.5877852522924731]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 11], 'central_character': '242.81', 'coefficient_field': 'CDF', 'conductor': 242, 'conductor_radical': 22, 'conjugate': '2099322819491428663876164350076', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.8090169943749475, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.9323797289149862, 'bad_primes': [2, 11], 'central_character': '11.4', 'conductor': 242, 'conductor_radical': 22, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/242/2/c/g/81/2'], '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': '2-242-11.4-c1-0-6', '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': '2-242-11.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3901006182701259, 'root_angle': 0.027846089612647992, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.26361851230447954811862766272', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2869477365810505180140416295513', 'Lhash_array': ['2869477365810505180140416295513'], 'factors': ['2-242-11.4-c1-0-6'], 'label': '2-242-11.4-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/242/2/c/g/81/2'}