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lfunc_lfunctions • Show schema
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{'Lhash': '1303137301944297183943470519990', 'a10': [0, 0], 'a2': [0, 0], 'a3': [2.6718146237444933, 0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, 0], 'a8': [0, 0], 'a9': [-1.8614066163450715, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 29.972829079632664, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [-11.0, 0]]]], 'bad_primes': [2, 5, 11], 'central_character': '1100.901', 'coefficient_field': 'CDF', 'conductor': 1100, 'conductor_radical': 110, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-2.6718146237444933, 0], [9.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [-49.0, 0]], [[1.0, 0], [-11.0, 0]], [[1.0, 0], [0, 0], [-169.0, 0]], [[1.0, 0], [0, 0], [-289.0, 0]], [[1.0, 0], [0, 0], [-361.0, 0]], [[1.0, 0], [-45.23570068905465, 0], [529.0, 0]], [[1.0, 0], [0, 0], [-841.0, 0]], [[1.0, 0], [-24.584219849035215, 0], [961.0, 0]], 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'2-1100-11.10-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.47474465885238, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.02799407163904526391667560502', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.41678073056925611142483919343', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.29987879451870537324516319151', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 29.972829079632664, 'bad_primes': [2, 5, 11], 'central_character': '11.10', 'conductor': 1100, 'conductor_radical': 110, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1100/3/f/b/901/3'], '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': '2-1100-11.10-c2-0-23', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-1100-11.10-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.47474465885238, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.02799407163904526391667560502', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1303137301944297183943470519990', 'Lhash_array': ['1303137301944297183943470519990'], 'factors': ['2-1100-11.10-c2-0-23'], 'label': '2-1100-11.10-c2-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1100/3/f/b/901/3'}