Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 81.99366952191765, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 1285956, 'conductor_radical': 42, 'degree': 4, 'dirichlet_coefficients': [1, 2, 0, 3, -3, 0, 5, 4, 0, -6, 3, 0, -2, 10, 0, 5, -6, 0, -2, -9, 0, 6, 6, 0, 5, -4, 0, 15, -9, 0, -14, 6, 0, -12, -15, 0, 10, -4, 0, -12, 0, 0, 4, 9, 0, 12, 24, 0, 18, 10, 0, -6, 3, 0, -9, 20, 0, -18, -6, 0, -8, -28, 0, 7, 6, 0, 4, -18, 0, -30, 0, 0, -2, 20, 0, -6, 15, 0, 10, -15, 0, 0, -9, 0, 18, 8, 0, 12, 6, 0, -10, 18, 0, 48, 6, 0, 13, 36, 0, 15], 'euler11': [1, -3, -2, -33, 121], 'euler13': [1, 2, -9, 26, 169], 'euler17': [1, 6, 19, 102, 289], 'euler19': [1, 2, -15, 38, 361], 'euler2': [1, -2, 1, 0, 0], 'euler23': [1, -6, 13, -138, 529], 'euler29': [1, 9, 52, 261, 841], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, 14, 111, 434, 961], 'euler37': [1, -10, 63, -370, 1369], 'euler41': [1, 0, -41, 0, 1681], 'euler43': [1, -4, -27, -172, 1849], 'euler47': [1, -24, 238, -1128, 2209], 'euler5': [1, 3, 4, 15, 25], 'euler53': [1, -3, -44, -159, 2809], 'euler59': [1, 6, 127, 354, 3481], 'euler61': [1, 8, 138, 488, 3721], 'euler67': [1, -4, 138, -268, 4489], 'euler7': [1, -5, 7, 0, 0], 'euler71': [1, 0, 142, 0, 5041], 'euler73': [1, 2, -69, 146, 5329], 'euler79': [1, -10, 183, -790, 6241], 'euler83': [1, 9, -2, 747, 6889], 'euler89': [1, -6, -53, -534, 7921], 'euler97': [1, -13, 72, -1261, 9409], 'euler_factors': [[1, -2, 1, 0, 0], [1, 0, 0, 0, 0], [1, 3, 4, 15, 25], [1, -5, 7, 0, 0], [1, -3, -2, -33, 121], [1, 2, -9, 26, 169], [1, 6, 19, 102, 289], [1, 2, -15, 38, 361], [1, -6, 13, -138, 529], [1, 9, 52, 261, 841], [1, 14, 111, 434, 961], [1, -10, 63, -370, 1369], [1, 0, -41, 0, 1681], [1, -4, -27, -172, 1849], [1, -24, 238, -1128, 2209], [1, -3, -44, -159, 2809], [1, 6, 127, 354, 3481], [1, 8, 138, 488, 3721], [1, -4, 138, -268, 4489], [1, 0, 142, 0, 5041], [1, 2, -69, 146, 5329], [1, -10, 183, -790, 6241], [1, 9, -2, 747, 6889], [1, -6, -53, -534, 7921], [1, -13, 72, -1261, 9409]], 'id': 23581815, 'index': 39, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1134/2/e/k'], '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': '4-1134e2-1.1-c1e2-0-39', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 0, 'prelabel': '4-1134e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.00915861815445, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 57966508908251872, 'z1': {'__RealLiteral__': 0, 'data': '0.818474004284224395541938613026', 'prec': 107}}