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lfunc_lfunctions • Show schema
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{'Lhash': '947914011603320642065161905200', 'a10': [1.0334963194121312, 2.1460772205380483], 'a2': [0.6025385863093397, -0.1375255003933729], 'a3': [-0.2681548979405432, 0.5568293831692092], 'a4': [-1.4577982510716283, 0.7020386370581013], 'a5': [0.8576183690927476, 3.7574715832916663], 'a6': [-0.0849954335629415, 0.37238932587248397], 'a7': [2.0146276342408376, 0.9701935349986446], 'a8': [-1.7482283417479496, 1.394165580234003], 'a9': [1.6323174929051016, 2.0468613945760197], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.715418809989684, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[29, [[1.0, 0], [0, 0]]]], 'bad_primes': [29], 'central_character': '841.196', 'coefficient_field': 'CDF', 'conductor': 841, 'conductor_radical': 29, 'conjugate': '2771070377737011420859574933521', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.6025385863093397, 0.1375255003933729], [1.8019377358048383, -0.8677674782351162]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.715418809989684, 'bad_primes': [29], 'central_character': '29.22', 'conductor': 841, 'conductor_radical': 29, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/841/2/e/j/196/3'], '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': '2-29e2-29.22-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': '2-29e2-29.22-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.591412512509285, 'root_angle': -0.37847446788098144, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.74777230526507620978422880461', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '947914011603320642065161905200', 'Lhash_array': ['947914011603320642065161905200'], 'factors': ['2-29e2-29.22-c1-0-14'], 'label': '2-29e2-29.22-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/841/2/e/j/196/3'}