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lfunc_lfunctions • Show schema
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{'Lhash': '1966776465625928989853885585334', 'a10': [28.170062622667935, -29.365270079769534], 'a2': [1.958030661443257, -2.041106545197502], 'a3': [0.0, 3.0], 'a4': [-0.3322318576961633, -7.993098397538451], 'a5': [14.386936413908805, 0.0], 'a6': [6.123319635592505, 5.8740919843297705], 'a7': [4.16267566377655, 18.046388317838073], 'a8': [-16.965285619700737, -14.972611123046487], 'a9': [-9.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.912320880964428, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.958030661443257, 2.041106545197502]]], [3, [[1.0, 0], [0, -3.0]]], [7, [[1.0, 0], [-4.16267566377655, -18.046388317838073]]]], 'bad_primes': [2, 3, 7], 'central_character': '168.139', 'coefficient_field': 'CDF', 'conductor': 168, 'conductor_radical': 42, 'conjugate': '2058208954351799709555291972100', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.958030661443257, 2.041106545197502]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.912320880964428, 'bad_primes': [2, 3, 7], 'central_character': '56.27', 'conductor': 168, 'conductor_radical': 42, 'degree': 2, 'index': 30, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/168/4/p/a/139/34'], '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': '2-168-56.27-c3-0-30', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-168-56.27-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.148383852227112, 'root_angle': 0.07900238039666466, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.55151306304105255191115707389', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1966776465625928989853885585334', 'Lhash_array': ['1966776465625928989853885585334'], 'factors': ['2-168-56.27-c3-0-30'], 'label': '2-168-56.27-c3-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/168/4/p/a/139/34'}