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lfunc_lfunctions • Show schema
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{'Lhash': '2617423652963244210043224447453', 'a10': [-609.8094271024444, -5675.153415666415], 'a2': [19.72509921256663, -5.2853244046310035], 'a3': [-11.48874163243208, 42.876567487268325], 'a4': [250.2936331990005, -144.5070965038924], 'a5': [43.08360650247021, -276.1680699334018], 'a6': [-2.2327204409345286e-59, 906.46627410907], 'a7': [764.5735457056385, 488.8458787870753], 'a8': [2325.0086879138958, -2325.0086879138958], 'a9': [187.58870288307014, 108.30438810647327], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.933475891944266, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-43.08360650247021, 276.1680699334018]]], [7, [[1.0, 0], [-764.5735457056385, -488.8458787870753]]]], 'bad_primes': [5, 7], 'central_character': '35.12', 'coefficient_field': 'CDF', 'conductor': 35, 'conductor_radical': 35, 'conjugate': '2414640219680916910070367872256', 'degree': 2, 'euler_factors': [[[1.0, 0], [-19.72509921256663, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.933475891944266, 'bad_primes': [5, 7], 'central_character': '35.12', 'conductor': 35, 'conductor_radical': 35, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/35/8/k/a/12/25'], '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': '2-35-35.12-c7-0-19', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-35-35.12-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.3065806949089063, 'root_angle': 0.04723722256336698, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '2.06478319222347228633947641363', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2617423652963244210043224447453', 'Lhash_array': ['2617423652963244210043224447453'], 'label': '2-35-35.12-c7-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/35/8/k/a/12/25'}