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lfunc_lfunctions • Show schema
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{'Lhash': '282306224600551616290426108367', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-80.73658199340176, -6.5271990947661696], 'a4': [0.0, 0.0], 'a5': [0.0, 920.5421413580353], 'a6': [0.0, 0.0], 'a7': [2012.4966283190658, 0.0], 'a8': [0.0, 0.0], 'a9': [6475.791343954567, 1053.967489803693], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 19.554173282934112, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [80.73658199340176, 6.5271990947661696]]]], 'bad_primes': [2, 3], 'central_character': '48.17', 'coefficient_field': 'CDF', 'conductor': 48, 'conductor_radical': 6, 'conjugate': '2439430201952716166509763192776', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [80.73658199340176, 6.5271990947661696]], [[1.0, 0], [0, -920.5421413580353], [-390625.0, 0]], [[1.0, 0], [-2012.4966283190658, 0], [5764801.0, 0]], [[1.0, 0], [0, 9968.107958845754], [-214358881.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 19.554173282934112, 'bad_primes': [2, 3], 'central_character': '3.2', 'conductor': 48, 'conductor_radical': 6, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/48/9/e/e/17/1'], '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': '2-48-3.2-c8-0-1', 'motivic_weight': 8, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [8], 'order_of_vanishing': 0, 'prelabel': '2-48-3.2-c8-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.422010095299886, 'root_angle': -0.4871609433170371, 'self_dual': False, 'spectral_label': 'c8-0', 'z1': {'__RealLiteral__': 0, 'data': '0.22270034388791741990401513622', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '282306224600551616290426108367', 'Lhash_array': ['282306224600551616290426108367'], 'label': '2-48-3.2-c8-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/48/9/e/e/17/1'}