Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 0.5883270899510125, 'bad_primes': [13], 'central_character': '1.1', 'conductor': 169, 'conductor_radical': 13, 'degree': 4, 'dirichlet_coefficients': [1, -6, 7, 16, 0, -42, 39, -24, 27, 0, -39, 112, -26, -234, 0, 48, -27, -162, -153, 0, 273, 234, -57, -168, 58, 156, 224, 624, 69, 0, 0, -192, -273, 162, 0, 432, -69, 918, -182, 0, -681, -1638, 85, -624, 0, 342, 0, 336, 671, -348, -189, -416, 852, -1344, 0, -936, -1071, -414, -33, 0, 17, 0, 1053, 320, 0, 1638, 285, -432, -399, 0, 1011, -648, 0, 414, 406, -2448, -1521, 1092, -2488, 0, 1568, 4086, 0, 4368, 0, -510, 483, 936, 531, 0, -1014, -912, 0, 0, 0, -1344, 2139, -4026, -1053, 928], 'euler11': [1, 39, 1838, 51909, 1771561], 'euler13': [1, 26, 2197, 0, 0], 'euler17': [1, 27, -4184, 132651, 24137569], 'euler19': [1, 153, 14662, 1049427, 47045881], 'euler2': [1, 6, 20, 48, 64], 'euler23': [1, 57, -8918, 693519, 148035889], 'euler29': [1, -69, -19628, -1682841, 594823321], 'euler3': [1, -7, 22, -189, 729], 'euler31': [1, 0, -54290, 0, 887503681], 'euler37': [1, 69, 52240, 3495057, 2565726409], 'euler41': [1, 681, 223508, 46935201, 4750104241], 'euler43': [1, -85, -72282, -6758095, 6321363049], 'euler47': [1, 0, -90034, 0, 10779215329], 'euler5': [1, 0, -58, 0, 15625], 'euler53': [1, -852, 479230, -126843204, 22164361129], 'euler59': [1, 33, 205742, 6777507, 42180533641], 'euler61': [1, -17, -226692, -3858677, 51520374361], 'euler67': [1, -285, 327838, -85717455, 90458382169], 'euler7': [1, -39, 850, -13377, 117649], 'euler71': [1, -1011, 698618, -361848021, 128100283921], 'euler73': [1, 0, 231166, 0, 151334226289], 'euler79': [1, 2488, 2533614, 1226681032, 243087455521], 'euler83': [1, 0, -962026, 0, 326940373369], 'euler89': [1, -531, 798956, -374338539, 496981290961], 'euler97': [1, -2139, 2437780, -1952207547, 832972004929], 'euler_factors': [[1, 6, 20, 48, 64], [1, -7, 22, -189, 729], [1, 0, -58, 0, 15625], [1, -39, 850, -13377, 117649], [1, 39, 1838, 51909, 1771561], [1, 26, 2197, 0, 0], [1, 27, -4184, 132651, 24137569], [1, 153, 14662, 1049427, 47045881], [1, 57, -8918, 693519, 148035889], [1, -69, -19628, -1682841, 594823321], [1, 0, -54290, 0, 887503681], [1, 69, 52240, 3495057, 2565726409], [1, 681, 223508, 46935201, 4750104241], [1, -85, -72282, -6758095, 6321363049], [1, 0, -90034, 0, 10779215329], [1, -852, 479230, -126843204, 22164361129], [1, 33, 205742, 6777507, 42180533641], [1, -17, -226692, -3858677, 51520374361], [1, -285, 327838, -85717455, 90458382169], [1, -1011, 698618, -361848021, 128100283921], [1, 0, 231166, 0, 151334226289], [1, 2488, 2533614, 1226681032, 243087455521], [1, 0, -962026, 0, 326940373369], [1, -531, 798956, -374338539, 496981290961], [1, -2139, 2437780, -1952207547, 832972004929]], 'id': 9590615, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/13/4/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': '4-13e2-1.1-c3e2-0-0', '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': '4-13e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.875799537608138, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 1147304938396324717, 'z1': {'__RealLiteral__': 0, 'data': '2.11014574367122488708249141919', 'prec': 103}}