Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 4603.920570770497, 'bad_primes': [2, 5, 23], 'central_character': '1.1', 'conductor': 1322500, 'conductor_radical': 230, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, -4, 0, 0, 0, 0, 53, 0, -64, 0, 0, 0, 0, 16, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, -66, 0, 0, 0, 0, -212, 0, 0, 0, 0, -314, 0, 0, 256, 0, 0, 0, 0, 362, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1488, 0, 1104, 0, 0, -64, 0, 0, 0, 0, 0, 0, 1398, 0, 0, 0, 0, 288, 0, 0, 1288, 0, 2080, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3392, 0], 'euler11': [1, 64, 3686, 85184, 1771561], 'euler13': [1, 0, -2185, 0, 4826809], 'euler17': [1, 0, -9426, 0, 24137569], 'euler19': [1, 72, 15014, 493848, 47045881], 'euler2': [1, 0, 4, 0, 0], 'euler23': [1, 0, 529, 0, 0], 'euler29': [1, -54, 49507, -1317006, 594823321], 'euler3': [1, 0, -53, 0, 729], 'euler31': [1, 66, 60671, 1966206, 887503681], 'euler37': [1, 0, -98170, 0, 2565726409], 'euler41': [1, 314, 162491, 21641194, 4750104241], 'euler43': [1, 0, -158690, 0, 6321363049], 'euler47': [1, 0, -203421, 0, 10779215329], 'euler5': [1, 0, 0, 0, 0], 'euler53': [1, 0, -297558, 0, 22164361129], 'euler59': [1, -1488, 964294, -305603952, 42180533641], 'euler61': [1, -1104, 758666, -250587024, 51520374361], 'euler67': [1, 0, -577190, 0, 90458382169], 'euler7': [1, 0, -362, 0, 117649], 'euler71': [1, -1398, 1204423, -500359578, 128100283921], 'euler73': [1, 0, -407153, 0, 151334226289], 'euler79': [1, -1288, 1400814, -635034232, 243087455521], 'euler83': [1, 0, -881430, 0, 326940373369], 'euler89': [1, -204, 1420342, -143813676, 496981290961], 'euler97': [1, 0, -1491262, 0, 832972004929], 'euler_factors': [[1, 0, 4, 0, 0], [1, 0, -53, 0, 729], [1, 0, 0, 0, 0], [1, 0, -362, 0, 117649], [1, 64, 3686, 85184, 1771561], [1, 0, -2185, 0, 4826809], [1, 0, -9426, 0, 24137569], [1, 72, 15014, 493848, 47045881], [1, 0, 529, 0, 0], [1, -54, 49507, -1317006, 594823321], [1, 66, 60671, 1966206, 887503681], [1, 0, -98170, 0, 2565726409], [1, 314, 162491, 21641194, 4750104241], [1, 0, -158690, 0, 6321363049], [1, 0, -203421, 0, 10779215329], [1, 0, -297558, 0, 22164361129], [1, -1488, 964294, -305603952, 42180533641], [1, -1104, 758666, -250587024, 51520374361], [1, 0, -577190, 0, 90458382169], [1, -1398, 1204423, -500359578, 128100283921], [1, 0, -407153, 0, 151334226289], [1, -1288, 1400814, -635034232, 243087455521], [1, 0, -881430, 0, 326940373369], [1, -204, 1420342, -143813676, 496981290961], [1, 0, -1491262, 0, 832972004929]], 'id': 24080098, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1150/4/b/f'], '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': '4-1150e2-1.1-c3e2-0-7', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3], 'order_of_vanishing': 0, 'prelabel': '4-1150e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.237244472917004, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 1723852562237633456, 'z1': {'__RealLiteral__': 0, 'data': '0.57110409237879660682512388797', 'prec': 103}}