Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 5.026889454966048, 'bad_primes': [2, 19], 'central_character': '1.1', 'conductor': 1444, 'conductor_radical': 38, 'degree': 4, 'dirichlet_coefficients': [1, -4, 1, 12, 10, -4, 57, -32, -9, -40, 10, 12, 13, -228, 10, 80, -51, 36, -38, 120, 57, -40, -155, -32, 2, -52, 8, 684, -79, -40, -16, -192, 10, 204, 570, -108, 380, 152, 13, -320, -790, -228, 296, 120, -90, 620, -200, 80, 1795, -8, -51, 156, 397, -32, 100, -1824, -38, 316, 201, 120, -680, 64, -513, 448, 130, -40, -939, -612, -155, -2280, 406, 288, 123, -1520, 2, -456, 570, -52, 106, 800, -604, 3160, 2226, 684, -510, -1184, -79, -320, -870, 360, 741, -1860, -16, 800, -380, -192, -1864, -7180, -90, 24], 'euler11': [1, -10, 2510, -13310, 1771561], 'euler13': [1, -13, 2268, -28561, 4826809], 'euler17': [1, 51, 520, 250563, 24137569], 'euler19': [1, 38, 361, 0, 0], 'euler2': [1, 4, 4, 0, 0], 'euler23': [1, 155, 22862, 1885885, 148035889], 'euler29': [1, 79, 13124, 1926731, 594823321], 'euler3': [1, -1, 10, -27, 729], 'euler31': [1, 16, 48318, 476656, 887503681], 'euler37': [1, -380, 126078, -19248140, 2565726409], 'euler41': [1, 790, 292274, 54447590, 4750104241], 'euler43': [1, -296, 78966, -23534072, 6321363049], 'euler47': [1, 200, 146846, 20764600, 10779215329], 'euler5': [1, -10, 98, -1250, 15625], 'euler53': [1, -397, 333572, -59104169, 22164361129], 'euler59': [1, -201, 197794, -41281179, 42180533641], 'euler61': [1, 680, 483894, 154347080, 51520374361], 'euler67': [1, 939, 740138, 282416457, 90458382169], 'euler7': [1, -57, 1454, -19551, 117649], 'euler71': [1, -406, 735614, -145311866, 128100283921], 'euler73': [1, -123, 781772, -47849091, 151334226289], 'euler79': [1, -106, 840030, -52262134, 243087455521], 'euler83': [1, -2226, 2380750, -1272797862, 326940373369], 'euler89': [1, 870, 1594738, 613323030, 496981290961], 'euler97': [1, 1864, 2438382, 1701222472, 832972004929], 'euler_factors': [[1, 4, 4, 0, 0], [1, -1, 10, -27, 729], [1, -10, 98, -1250, 15625], [1, -57, 1454, -19551, 117649], [1, -10, 2510, -13310, 1771561], [1, -13, 2268, -28561, 4826809], [1, 51, 520, 250563, 24137569], [1, 38, 361, 0, 0], [1, 155, 22862, 1885885, 148035889], [1, 79, 13124, 1926731, 594823321], [1, 16, 48318, 476656, 887503681], [1, -380, 126078, -19248140, 2565726409], [1, 790, 292274, 54447590, 4750104241], [1, -296, 78966, -23534072, 6321363049], [1, 200, 146846, 20764600, 10779215329], [1, -397, 333572, -59104169, 22164361129], [1, -201, 197794, -41281179, 42180533641], [1, 680, 483894, 154347080, 51520374361], [1, 939, 740138, 282416457, 90458382169], [1, -406, 735614, -145311866, 128100283921], [1, -123, 781772, -47849091, 151334226289], [1, -106, 840030, -52262134, 243087455521], [1, -2226, 2380750, -1272797862, 326940373369], [1, 870, 1594738, 613323030, 496981290961], [1, 1864, 2438382, 1701222472, 832972004929]], 'id': 9622228, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/38/4/a/b'], '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': '4-38e2-1.1-c3e2-0-1', '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': '4-38e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.4973551950750177, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 299173564749021272, 'z1': {'__RealLiteral__': 0, 'data': '1.58422284959852460289428135042', 'prec': 103}}