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  • lfunc_lfunctions • Show schema
    {'Lhash': '1133569042333019602572892169081', 'a10': [0.0, 0.0], 'a2': [-0.5, 0.8660254037844386], 'a3': [-1.5, 0.8660254037844386], 'a4': [-0.5, -0.8660254037844386], 'a5': [0.0, 0.0], 'a6': [6.076624599100714e-61, -1.7320508075688772], 'a7': [0.5, -0.8660254037844386], 'a8': [1.0, 0.0], 'a9': [1.5, -2.598076211353316], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.593268090957619, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.5, -0.8660254037844386]]], [3, [[1.0, 0], [1.5, -0.8660254037844386]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '450.151', 'coefficient_field': 'CDF', 'conductor': 450, 'conductor_radical': 30, 'conjugate': '1553450938381657562166987816853', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [1.5, -0.8660254037844386]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.5, 0.8660254037844386], [-3.5, -6.06217782649107]], [[1.0, 0], 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 3.593268090957619, 'bad_primes': [2, 3, 5], 'central_character': '9.7', 'conductor': 450, 'conductor_radical': 30, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/450/2/e/b/151/1'], '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': '2-450-9.7-c1-0-6', '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': '2-450-9.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8955917521865353, 'root_angle': -0.2222222222222222, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.894228300865341295673256873882', 'prec': 107}}
  • lfunc_instances • Show schema
    {'Lhash': '1133569042333019602572892169081', 'Lhash_array': ['1133569042333019602572892169081'], 'factors': ['2-450-9.7-c1-0-6'], 'label': '2-450-9.7-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/450/2/e/b/151/1'}