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  • lfunc_lfunctions • Show schema
    {'Lhash': '2170690088790292132286735409718', 'a10': [-1.6649961220077563e-60, -1.7171109558874522], 'a2': [1.222644834370311, -1.4570913738275708], 'a3': [0.0, 0.0], 'a4': [-0.280958525336452, -1.5933949768072218], 'a5': [0.6915435024968152, -0.5802738978881221], 'a6': [0.0, 0.0], 'a7': [-0.44860198338592927, 2.607442475013056], 'a8': [0.6292952929488851, 0.3633238067838032], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.5275177946066, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0.44860198338592927, -2.607442475013056]]]], 'bad_primes': [3, 7], 'central_character': '567.143', 'coefficient_field': 'CDF', 'conductor': 567, 'conductor_radical': 21, 'conjugate': '1787152449525644368766195178417', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.222644834370311, 1.4570913738275708], [-0.3472963553338607, -1.969615506024416]], [[1.0, 0], [0, 0]], [[1.0, 0], 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 4.5275177946066, 'bad_primes': [3, 7], 'central_character': '189.101', 'conductor': 567, 'conductor_radical': 21, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/567/2/ba/a/143/19'], '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': '2-567-189.101-c1-0-16', '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': '2-567-189.101-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1277964645629526, 'root_angle': 0.212322791686633, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.71237254839738834220298166137', 'prec': 103}}
  • lfunc_instances • Show schema
    {'Lhash': '2170690088790292132286735409718', 'Lhash_array': ['2170690088790292132286735409718'], 'factors': ['2-567-189.101-c1-0-16'], 'label': '2-567-189.101-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/567/2/ba/a/143/19'}