Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 57.88717932695284, 'bad_primes': [2, 5, 7], 'central_character': '35.34', 'conductor': 560, 'conductor_radical': 70, 'degree': 2, 'dirichlet_coefficients': [1, 0, -17, 0, -25, 0, 49, 0, 208, 0, 73, 0, -23, 0, 425, 0, -263, 0, 0, 0, -833, 0, 0, 0, 625, 0, -2159, 0, -1153, 0, 0, 0, -1241, 0, -1225, 0, 0, 0, 391, 0, 0, 0, 0, 0, -5200, 0, -3457, 0, 2401, 0, 4471, 0, 0, 0, -1825, 0, 0, 0, 0, 0, 0, 0, 10192, 0, 575, 0, 0, 0, 0, 0, 10078, 0, 9502, 0, -10625, 0, 3577, 0, -12167, 0, 19855, 0, -6382, 0, 6575, 0, 19601, 0, 0, 0, -1127, 0, 0, 0, 0, 0, -3383, 0, 15184, 0], 'euler11': [1, -73, 14641], 'euler13': [1, 23, 28561], 'euler17': [1, 263, 83521], 'euler19': [1, 0, -130321], 'euler2': [1, 0, 0], 'euler23': [1, 0, -279841], 'euler29': [1, 1153, 707281], 'euler3': [1, 17, 81], 'euler31': [1, 0, -923521], 'euler37': [1, 0, -1874161], 'euler41': [1, 0, -2825761], 'euler43': [1, 0, -3418801], 'euler47': [1, 3457, 4879681], 'euler5': [1, 25, 0], 'euler53': [1, 0, -7890481], 'euler59': [1, 0, -12117361], 'euler61': [1, 0, -13845841], 'euler67': [1, 0, -20151121], 'euler7': [1, -49, 0], 'euler71': [1, -10078, 25411681], 'euler73': [1, -9502, 28398241], 'euler79': [1, 12167, 38950081], 'euler83': [1, 6382, 47458321], 'euler89': [1, 0, -62742241], 'euler97': [1, 3383, 88529281], 'euler_factors': [[1, 0, 0], [1, 17, 81], [1, 25, 0], [1, -49, 0], [1, -73, 14641], [1, 23, 28561], [1, 263, 83521], [1, 0, -130321], [1, 0, -279841], [1, 1153, 707281], [1, 0, -923521], [1, 0, -1874161], [1, 0, -2825761], [1, 0, -3418801], [1, 3457, 4879681], [1, 0, -7890481], [1, 0, -12117361], [1, 0, -13845841], [1, 0, -20151121], [1, -10078, 25411681], [1, -9502, 28398241], [1, 12167, 38950081], [1, 6382, 47458321], [1, 0, -62742241], [1, 3383, 88529281]], 'id': 24085857, 'index': 33, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/560/5/p/a', 'ModularForm/GL2/Q/holomorphic/560/5/p/a/209/1'], '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': '2-560-35.34-c4-0-33', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-560-35.34-c4-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 7.6083624602770366, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c4-0', 'trace_hash': 2063725775788351120, 'z1': {'__RealLiteral__': 0, 'data': '0.51422426435272746011843392917', 'prec': 103}}