Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 14.8747089084686, 'bad_primes': [3, 7, 23], 'central_character': '1.1', 'conductor': 233289, 'conductor_radical': 483, 'degree': 4, 'dirichlet_coefficients': [1, 1, -2, -2, -3, -2, 2, -3, 3, -3, 0, 4, -7, 2, 6, 1, -2, 3, -12, 6, -4, 0, 2, 6, -2, -7, -4, -4, 8, 6, -10, 2, 0, -2, -6, -6, -10, -12, 14, 9, 4, -4, -1, 0, -9, 2, 6, -2, 3, -2, 4, 14, -5, -4, 0, -6, 24, 8, -3, -12, -7, -10, 6, 1, 21, 0, -7, 4, -4, -6, 21, -9, 2, -10, 4, 24, 0, 14, -6, -3, 5, 4, -2, 8, 6, -1, -16, 0, -17, -9, -14, -4, 20, 6, 36, -4, -12, 3, 0, 4], 'euler11': [1, 0, 17, 0, 121], 'euler13': [1, 7, 27, 91, 169], 'euler17': [1, 2, 15, 34, 289], 'euler19': [1, 12, 69, 228, 361], 'euler2': [1, -1, 3, -2, 4], 'euler23': [1, -2, 1, 0, 0], 'euler29': [1, -8, 29, -232, 841], 'euler3': [1, 2, 1, 0, 0], 'euler31': [1, 10, 87, 310, 961], 'euler37': [1, 10, 79, 370, 1369], 'euler41': [1, -4, 41, -164, 1681], 'euler43': [1, 1, 25, 43, 1849], 'euler47': [1, -6, 98, -282, 2209], 'euler5': [1, 3, 11, 15, 25], 'euler53': [1, 5, 111, 265, 2809], 'euler59': [1, 3, 109, 177, 3481], 'euler61': [1, 7, 103, 427, 3721], 'euler67': [1, 7, 135, 469, 4489], 'euler7': [1, -2, 1, 0, 0], 'euler71': [1, -21, 251, -1491, 5041], 'euler73': [1, -2, 127, -146, 5329], 'euler79': [1, 6, 87, 474, 6241], 'euler83': [1, 2, 87, 166, 6889], 'euler89': [1, 17, 189, 1513, 7921], 'euler97': [1, 12, 105, 1164, 9409], 'euler_factors': [[1, -1, 3, -2, 4], [1, 2, 1, 0, 0], [1, 3, 11, 15, 25], [1, -2, 1, 0, 0], [1, 0, 17, 0, 121], [1, 7, 27, 91, 169], [1, 2, 15, 34, 289], [1, 12, 69, 228, 361], [1, -2, 1, 0, 0], [1, -8, 29, -232, 841], [1, 10, 87, 310, 961], [1, 10, 79, 370, 1369], [1, -4, 41, -164, 1681], [1, 1, 25, 43, 1849], [1, -6, 98, -282, 2209], [1, 5, 111, 265, 2809], [1, 3, 109, 177, 3481], [1, 7, 103, 427, 3721], [1, 7, 135, 469, 4489], [1, -21, 251, -1491, 5041], [1, -2, 127, -146, 5329], [1, 6, 87, 474, 6241], [1, 2, 87, 166, 6889], [1, 17, 189, 1513, 7921], [1, 12, 105, 1164, 9409]], 'id': 10684843, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/483/2/a/g'], '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': '4-483e2-1.1-c1e2-0-9', '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': 2, 'prelabel': '4-483e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.9638672097745928, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 347105291518419948, 'z1': {'__RealLiteral__': 0, 'data': '1.82813868592499159551825674143', 'prec': 103}}