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lfunc_lfunctions • Show schema
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{'Lhash': '2125280002339571134869329926856', 'a10': [2.9093129111764093, -1.6957724927058637], 'a2': [0.0, -1.5059711791502262], 'a3': [-1.5381890013208515, 0.7962252170181257], 'a4': [-0.2679491924311227, 0.0], 'a5': [1.1260325006104943, 1.9318516525781366], 'a6': [1.1990922289419315, 2.3164683040750718], 'a7': [2.129764866097252, 0.0], 'a8': [0.0, -2.6084185970226037], 'a9': [1.7320508075688772, -2.449489742783178], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3175316333511269, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.5381890013208515, -0.7962252170181257]]], [5, [[1.0, 0], [-1.1260325006104943, -1.9318516525781366]]], [11, [[1.0, 0], [-3.2759808924303693, -0.5176380902050415]]]], 'bad_primes': [3, 5, 11], 'central_character': '165.164', 'coefficient_field': 'CDF', 'conductor': 165, 'conductor_radical': 165, 'conjugate': '2192811336612820473212931952151', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.3175316333511269, 'bad_primes': [3, 5, 11], 'central_character': '165.164', 'conductor': 165, 'conductor_radical': 165, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/165/2/d/c/164/6'], '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': '2-165-165.164-c1-0-5', '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': '2-165-165.164-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1478378079463696, 'root_angle': 0.11492869986934151, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.67655030649370817308740798847', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2125280002339571134869329926856', 'Lhash_array': ['2125280002339571134869329926856'], 'label': '2-165-165.164-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/165/2/d/c/164/6'}