Query:
/api/lfunc_search/?_offset=0
Table lfunc_search
L-function search data
{'algebraic': True, 'analytic_conductor': 279.9025443165034, 'bad_primes': [2, 307], 'central_character': '1.1', 'conductor': 376996, 'conductor_radical': 614, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, -2, 0, 0, 10, 0, 10, 0, -26, 0, 0, 0, 0, 4, 22, 0, 58, 0, 0, 0, 0, 0, 32, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -20, 94, 0, 0, 0, 70, 0, 0, 52, 0, 0, 0, 0, -23, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, -8, 0, 0, 0, -44, 0, 0, -86, 0, 0, 0, 0, -116, -260, 0, -44, 0, 19, 0, 280, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, -80, 0, -260, -64], 'euler11': [1, 26, 411, 3146, 14641], 'euler13': [1, 0, -320, 0, 28561], 'euler17': [1, -22, 699, -6358, 83521], 'euler19': [1, -58, 1563, -20938, 130321], 'euler2': [1, 0, 2, 0, 0], 'euler23': [1, 0, -608, 0, 279841], 'euler29': [1, 0, -1394, 0, 707281], 'euler3': [1, 0, -10, 0, 81], 'euler31': [1, 0, -1904, 0, 923521], 'euler37': [1, -94, 4947, -128686, 1874161], 'euler41': [1, -70, 4587, -117670, 2825761], 'euler43': [1, 0, -1520, 0, 3418801], 'euler47': [1, 0, 2080, 0, 4879681], 'euler5': [1, 0, -32, 0, 625], 'euler53': [1, -22, 5739, -61798, 7890481], 'euler59': [1, 0, -6512, 0, 12117361], 'euler61': [1, 0, -7154, 0, 13845841], 'euler67': [1, 0, -6800, 0, 20151121], 'euler7': [1, -10, 123, -490, 2401], 'euler71': [1, 86, 11931, 433526, 25411681], 'euler73': [1, 0, 5542, 0, 28398241], 'euler79': [1, 44, 12966, 274604, 38950081], 'euler83': [1, -280, 33378, -1928920, 47458321], 'euler89': [1, 248, 31218, 1964408, 62742241], 'euler97': [1, 80, 20418, 752720, 88529281], 'euler_factors': [[1, 0, 2, 0, 0], [1, 0, -10, 0, 81], [1, 0, -32, 0, 625], [1, -10, 123, -490, 2401], [1, 26, 411, 3146, 14641], [1, 0, -320, 0, 28561], [1, -22, 699, -6358, 83521], [1, -58, 1563, -20938, 130321], [1, 0, -608, 0, 279841], [1, 0, -1394, 0, 707281], [1, 0, -1904, 0, 923521], [1, -94, 4947, -128686, 1874161], [1, -70, 4587, -117670, 2825761], [1, 0, -1520, 0, 3418801], [1, 0, 2080, 0, 4879681], [1, -22, 5739, -61798, 7890481], [1, 0, -6512, 0, 12117361], [1, 0, -7154, 0, 13845841], [1, 0, -6800, 0, 20151121], [1, 86, 11931, 433526, 25411681], [1, 0, 5542, 0, 28398241], [1, 44, 12966, 274604, 38950081], [1, -280, 33378, -1928920, 47458321], [1, 248, 31218, 1964408, 62742241], [1, 80, 20418, 752720, 88529281]], 'id': 23252544, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/614/3/b/a'], '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': '4-614e2-1.1-c2e2-0-0', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0], 'nu_real_doubled': [2, 2], 'order_of_vanishing': 0, 'prelabel': '4-614e2-1.1-c2e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.090267501242704, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e2-0', 'trace_hash': 229853714356258474, 'z1': {'__RealLiteral__': 0, 'data': '0.910529985691767800832238684377', 'prec': 100}}