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lfunc_lfunctions • Show schema
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{'Lhash': '298811068264030945306809754253', 'a10': [0, 0], 'a2': [0, -15.135528725660043], 'a3': [0, 0], 'a4': [-101.08422980528034, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, 198.8974021592406], 'a8': [0, -407.3844129554437], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 70.28663073392742, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5], 'central_character': '225.199', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '1609874830084415265079926569264', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 15.135528725660043], [-128.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -198.8974021592406], [-823543.0, 0]], [[1.0, 0], [-5268.050641025572, 0], [19487171.0, 0]], [[1.0, 0], [0, 1212.883497204627], [-62748517.0, 0]], [[1.0, 0], [0, -34583.5184837087], [-410338673.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 70.28663073392742, 'bad_primes': [3, 5], 'central_character': '5.4', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/8/b/o/199/1'], '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': '2-15e2-5.4-c7-0-5', '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': '2-15e2-5.4-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.38371222871631, 'root_angle': -0.07379180882521663, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '0.23572036980082100413677619363', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '298811068264030945306809754253', 'Lhash_array': ['298811068264030945306809754253'], 'label': '2-15e2-5.4-c7-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/8/b/o/199/1'}