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lfunc_lfunctions • Show schema
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{'Lhash': '2863002617446757778635575198107', 'a10': [5.131456352145337, 0.8146312187837943], 'a2': [-0.22173314359158267, 1.396722740214748], 'a3': [-0.9587588298470896, 1.4424914232640136], 'a4': [-1.901668826065989, -0.6193994478273311], 'a5': [0.0, -3.6739262592347917], 'a6': [-1.8021719641494025, -1.6589684179133384], 'a7': [0.0, -1.7300849024046987], 'a8': [1.2867923009306181, -2.518762707018207], 'a9': [-1.1615630123804792, -2.7660027780661367], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8205891660851936, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.22173314359158267, -1.396722740214748]]], [3, [[1.0, 0], [0.9587588298470896, -1.4424914232640136]]], [19, [[1.0, 0], [0, 1.0]]]], 'bad_primes': [2, 3, 19], 'central_character': '228.191', 'coefficient_field': 'CDF', 'conductor': 228, 'conductor_radical': 114, 'conjugate': '588528036776128514298671196863', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.8205891660851936, 'bad_primes': [2, 3, 19], 'central_character': '12.11', 'conductor': 228, 'conductor_radical': 114, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/228/2/c/a/191/18'], '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': '2-228-12.11-c1-0-23', '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': '2-228-12.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3492920981333856, 'root_angle': 0.14347590268824947, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.25851083644917550795066190411', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2863002617446757778635575198107', 'Lhash_array': ['2863002617446757778635575198107'], 'label': '2-228-12.11-c1-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/228/2/c/a/191/18'}