Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 8.583128327349353, 'bad_primes': [3, 5, 7], 'central_character': '35.34', 'conductor': 315, 'conductor_radical': 105, 'degree': 2, 'dirichlet_coefficients': [1, 0, 0, 4, -5, 0, -7, 0, 0, 0, 13, 0, 19, 0, 0, 16, 29, 0, 0, -20, 0, 0, 0, 0, 25, 0, 0, -28, -23, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, -31, 0, 49, 0, 0, 76, 0, 0, -65, 0, 0, 0, 0, 0, 0, 0, 0, 64, -95, 0, 0, 116, 0, 0, -2, 0, 34, 0, 0, 0, -91, 0, -157, -80, 0, 0, 86, 0, -145, 0, 0, 0, 0, 0, -133, 0, 0, 0, 0, 0, -149, 0, 0, 100], 'euler11': [1, -13, 121], 'euler13': [1, -19, 169], 'euler17': [1, -29, 289], 'euler19': [1, 0, -361], 'euler2': [1, 0, -4], 'euler23': [1, 0, -529], 'euler29': [1, 23, 841], 'euler3': [1, 0, 0], 'euler31': [1, 0, -961], 'euler37': [1, 0, -1369], 'euler41': [1, 0, -1681], 'euler43': [1, 0, -1849], 'euler47': [1, 31, 2209], 'euler5': [1, 5, 0], 'euler53': [1, 0, -2809], 'euler59': [1, 0, -3481], 'euler61': [1, 0, -3721], 'euler67': [1, 0, -4489], 'euler7': [1, 7, 0], 'euler71': [1, 2, 5041], 'euler73': [1, -34, 5329], 'euler79': [1, 157, 6241], 'euler83': [1, -86, 6889], 'euler89': [1, 0, -7921], 'euler97': [1, 149, 9409], 'euler_factors': [[1, 0, -4], [1, 0, 0], [1, 5, 0], [1, 7, 0], [1, -13, 121], [1, -19, 169], [1, -29, 289], [1, 0, -361], [1, 0, -529], [1, 23, 841], [1, 0, -961], [1, 0, -1369], [1, 0, -1681], [1, 0, -1849], [1, 31, 2209], [1, 0, -2809], [1, 0, -3481], [1, 0, -3721], [1, 0, -4489], [1, 2, 5041], [1, -34, 5329], [1, 157, 6241], [1, -86, 6889], [1, 0, -7921], [1, 149, 9409]], 'id': 13069604, 'index': 15, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/315/3/e/a/244/1', 'ModularForm/GL2/Q/holomorphic/315/3/e/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': '2-315-35.34-c2-0-15', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-315-35.34-c2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 2.92969765118337, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2-0', 'trace_hash': 1117921665860808861, 'z1': {'__RealLiteral__': 0, 'data': '1.19229059463459525297986245435', 'prec': 103}}