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  • lfunc_lfunctions • Show schema
    {'Lhash': '487326792913803041324245209752', 'a10': [2067.017412736897, -205.4010596251719], 'a2': [-1.1187416751663524, -11.258259948333311], 'a3': [0, 0], 'a4': [-125.49683412849197, 25.19016918811332], 'a5': [0, 183.60007871757313], 'a6': [0, 0], 'a7': [0, -343.0], 'a8': [423.996011303259, 1384.6946892361964], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 78.72102642199872, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [1.1187416751663524, 11.258259948333311]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 343.0]]]], 'bad_primes': [2, 3, 7], 'central_character': '252.71', 'coefficient_field': 'CDF', 'conductor': 252, 'conductor_radical': 42, 'conjugate': '754203356527524509859185541544', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.1187416751663524, 11.258259948333311]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -183.60007871757313], [-78125.0, 0]], [[1.0, 0], [0, 343.0]], [[1.0, 0], 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{'__RealLiteral__': 0, 'data': '0.066429447938245', 'prec': 47}, 'spectral_label': 'c7-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.38443305499643522849818365545', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.05926226250052971304869960167', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.81792216883083550815448210446', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 78.72102642199872, 'bad_primes': [2, 3, 7], 'central_character': '12.11', 'conductor': 252, 'conductor_radical': 42, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/252/8/e/a/71/41'], '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': '2-252-12.11-c7-0-23', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-252-12.11-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.87248704828577, 'root_angle': 0.066429447938245, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '0.38443305499643522849818365545', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '487326792913803041324245209752', 'Lhash_array': ['487326792913803041324245209752'], 'factors': ['2-252-12.11-c7-0-23'], 'label': '2-252-12.11-c7-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/252/8/e/a/71/41'}