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lfunc_lfunctions • Show schema
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{'Lhash': '2721585265348800729821434431400', 'a10': [-2.4273349998469125, -0.8834776885368331], 'a2': [2.4273349998469125, -0.8834776885368331], 'a3': [0.0, 0.0], 'a4': [3.5793334891014696, -3.00341741056553], 'a5': [-0.766044443118978, -0.6427876096865394], 'a6': [0.0, 0.0], 'a7': [0.2008199410541716, 0.3478303410788123], 'a8': [3.4516732294325436, -5.978473404502512], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.8272093728194765, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.766044443118978, 0.6427876096865394]]], [19, [[1.0, 0], [-0.3866823330751182, 4.341713575685018]]]], 'bad_primes': [3, 5, 19], 'central_character': '855.271', 'coefficient_field': 'CDF', 'conductor': 855, 'conductor_radical': 285, 'conjugate': '1695419193961316258731815388281', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.4273349998469125, 0.8834776885368331], [1.532088886237956, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.8272093728194765, 'bad_primes': [3, 5, 19], 'central_character': '19.5', 'conductor': 855, 'conductor_radical': 285, 'degree': 2, 'index': 31, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/855/2/bs/c/271/3'], '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': '2-855-19.5-c1-0-31', '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': '2-855-19.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.612892912619933, 'root_angle': 0.23015685515539522, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.14695221605922255746829405443', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2721585265348800729821434431400', 'Lhash_array': ['2721585265348800729821434431400'], 'label': '2-855-19.5-c1-0-31', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/855/2/bs/c/271/3'}