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  • lfunc_lfunctions • Show schema
    {'Lhash': '2684593076287716549251153945221', 'a10': [-0.5, 0.8660254037844386], 'a2': [0.5, -0.8660254037844386], 'a3': [1.5, 0.8660254037844386], 'a4': [0.5, 0.8660254037844386], 'a5': [-1.0, 0.0], 'a6': [1.5, -0.8660254037844386], 'a7': [-1.5, -2.598076211353316], 'a8': [3.0, 0.0], 'a9': [1.5, 2.598076211353316], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [-1.5, -0.8660254037844386]]], [19, [[1.0, 0], [4.0, -1.7320508075688772]]]], 'bad_primes': [3, 19], 'central_character': '171.121', 'coefficient_field': 'CDF', 'conductor': 171, 'conductor_radical': 57, 'conjugate': '3017267796449735804352712866795', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5, 0.8660254037844386], [-1.0, -1.7320508075688772]], [[1.0, 0], [-1.5, -0.8660254037844386]], [[1.0, 0], [1.0, 0], [5.0, 0]], [[1.0, 0], [1.5, 2.598076211353316], [-3.5, 6.06217782649107]], 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'bad_primes': [3, 19], 'central_character': '171.121', 'conductor': 171, 'conductor_radical': 57, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/171/2/g/b/121/1'], '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': '2-171-171.121-c1-0-11', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-171-171.121-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1685212341091176, 'root_angle': 0.024395465013442454, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.11777052431038888001191696307', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2684593076287716549251153945221', 'Lhash_array': ['2684593076287716549251153945221'], 'factors': ['2-171-171.121-c1-0-11'], 'label': '2-171-171.121-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/171/2/g/b/121/1'}