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lfunc_lfunctions • Show schema
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{'Lhash': '1497164839411904075536815779427', 'a10': [28.768152964820978, 0.0], 'a2': [-2.600259350175874, 0.0], 'a3': [3.0, 0.0], 'a4': [-1.2386513118229407, 0.0], 'a5': [-11.063570625320578, 0.0], 'a6': [-7.800778050527622, 0.0], 'a7': [-16.861162005614915, 0.0], 'a8': [24.022889456582206, 0.0], 'a9': [9.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 42.304369474116044, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-3.0, 0]]], [239, [[1.0, 0], [239.0, 0]]]], 'bad_primes': [3, 239], 'central_character': '717.1', 'coefficient_field': 'CDF', 'conductor': 717, 'conductor_radical': 717, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.600259350175874, 0], [8.0, 0]], [[1.0, 0], [-3.0, 0]], [[1.0, 0], [11.063570625320578, 0], [125.0, 0]], [[1.0, 0], [16.861162005614915, 0], [343.0, 0]], [[1.0, 0], [0.014804573553255361, 0], [1331.0, 0]], [[1.0, 0], [3.980292476637975, 0], [2197.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 42.304369474116044, 'bad_primes': [3, 239], 'central_character': '1.1', 'conductor': 717, 'conductor_radical': 717, 'degree': 2, 'index': 61, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/717/4/a/a/1/10'], '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': '2-717-1.1-c3-0-61', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-717-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.504180922615548, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.18105481048354542095854644612', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1497164839411904075536815779427', 'Lhash_array': ['1497164839411904075536815779427'], 'label': '2-717-1.1-c3-0-61', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/717/4/a/a/1/10'}