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lfunc_lfunctions • Show schema
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{'Lhash': '3032400037247682084224449940546', 'a10': [3.900064174872134, 7.143978014259577e-61], 'a2': [1.8593368815837916, -1.3508873183594923], 'a3': [0.0, 0.0], 'a4': [1.0142031035633436, -3.1213961951889515], 'a5': [1.3728685572331183, 0.9974473921912221], 'a6': [0.0, 0.0], 'a7': [0.06417101612727659, -0.19749807989872684], 'a8': [-0.9105023153267143, -2.8022379864409803], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.3715569400320287, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [1.2345926190057908, 3.078275664247181]]]], 'bad_primes': [3, 11], 'central_character': '297.190', 'coefficient_field': 'CDF', 'conductor': 297, 'conductor_radical': 33, 'conjugate': '2418805600034389415135019231031', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.8593368815837916, 1.3508873183594923], [0.6180339887498949, -1.902113032590307]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.02797489978215035364102751444', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.3715569400320287, 'bad_primes': [3, 11], 'central_character': '11.3', 'conductor': 297, 'conductor_radical': 33, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/297/2/f/b/190/4'], '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': '2-297-11.3-c1-0-13', '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': '2-297-11.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5399860194274586, 'root_angle': 0.19307802159140056, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.39214183837543640507628896943', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3032400037247682084224449940546', 'Lhash_array': ['3032400037247682084224449940546'], 'label': '2-297-11.3-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/297/2/f/b/190/4'}