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lfunc_lfunctions • Show schema
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{'Lhash': '1240878926845124257269749382267', 'a10': [285.37942717157745, -164.76388909869144], 'a2': [-3.8637033051562732, -1.035276180410083], 'a3': [0, 0], 'a4': [13.856406460551018, 8.0], 'a5': [-58.252831638176495, 58.252831638176495], 'a6': [0, 0], 'a7': [-16.811414243587766, -62.74105210415665], 'a8': [-45.254833995939045, -45.254833995939045], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 37.52981383623747, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [3.8637033051562732, 1.035276180410083]]], [3, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [-403.8509463296778, -456.2865471922482]]]], 'bad_primes': [2, 3, 13], 'central_character': '234.89', 'coefficient_field': 'CDF', 'conductor': 234, 'conductor_radical': 78, 'conjugate': '21161714637606792016573530268', 'degree': 2, 'euler_factors': [[[1.0, 0], [3.8637033051562732, 1.035276180410083]], [[1.0, 0], [0, 0]], [[1.0, 0], [58.252831638176495, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 37.52981383623747, 'bad_primes': [2, 3, 13], 'central_character': '39.11', 'conductor': 234, 'conductor_radical': 78, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/234/6/x/a/89/1'], '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': '2-234-39.11-c5-0-15', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-234-39.11-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.126158162848677, 'root_angle': 0.3515014610474474, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.978880873500722408346676494606', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1240878926845124257269749382267', 'Lhash_array': ['1240878926845124257269749382267'], 'factors': ['2-234-39.11-c5-0-15'], 'label': '2-234-39.11-c5-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/234/6/x/a/89/1'}