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lfunc_lfunctions • Show schema
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{'Lhash': '2261624057843438105234788310598', 'a10': [-8.567196205869301, -43.52792079662591], 'a2': [-0.546213830350726, -2.775184759891418], 'a3': [7.920160726321695, 0.0], 'a4': [-7.403300903067176, 3.031688595262503], 'a5': [15.684692934941376, 0.0], 'a6': [-4.326101327317562, -21.979909343578512], 'a7': [0.0, 9.095730643478595], 'a8': [12.457281329812432, 18.88957759903346], 'a9': [35.728945930768596, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.31623684071184, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.546213830350726, 2.775184759891418]]], [31, [[1.0, 0], [45.27969333073264, 166.55554440448628]]]], 'bad_primes': [2, 31], 'central_character': '124.123', 'coefficient_field': 'CDF', 'conductor': 124, 'conductor_radical': 62, 'conjugate': '2397609437693965502830758297683', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.546213830350726, 2.775184759891418]], [[1.0, 0], [-7.920160726321695, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.31623684071184, 'bad_primes': [2, 31], 'central_character': '124.123', 'conductor': 124, 'conductor_radical': 62, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/124/4/d/c/123/18'], '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': '2-124-124.123-c3-0-26', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-124-124.123-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7048543104411076, 'root_angle': 0.14589397053966247, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.78410680153999254819357823577', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2261624057843438105234788310598', 'Lhash_array': ['2261624057843438105234788310598'], 'label': '2-124-124.123-c3-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/124/4/d/c/123/18'}