Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 1628.6384706242693, 'bad_primes': [2, 7, 19], 'central_character': '1.1', 'conductor': 25542916, 'conductor_radical': 266, 'degree': 4, 'dirichlet_coefficients': [1, 2, -3, 3, -4, -6, -2, 4, 2, -8, 6, -9, 1, -4, 12, 5, -3, 4, 0, -12, 6, 12, 0, -12, 7, 2, 6, -6, 12, 24, -10, 6, -18, -6, 8, 6, 10, 0, -3, -16, -3, 12, -3, 18, -8, 0, -8, -15, 3, 14, 9, 3, 12, 12, -24, -8, 0, 24, -16, 36, 0, -20, -4, 7, -4, -36, -11, -9, 0, 16, -16, 8, -7, 20, -21, 0, -12, -6, -27, -20, -14, -6, -4, 18, 12, -6, -36, 24, 5, -16, -2, 0, 30, -16, 0, -18, 24, 6, 12, 21], 'euler11': [1, -6, 31, -66, 121], 'euler13': [1, -1, 15, -13, 169], 'euler17': [1, 3, 25, 51, 289], 'euler19': [1, 0, 0, 0, 0], 'euler2': [1, -2, 1, 0, 0], 'euler23': [1, 0, 1, 0, 529], 'euler29': [1, -12, 89, -348, 841], 'euler3': [1, 3, 7, 9, 9], 'euler31': [1, 10, 87, 310, 961], 'euler37': [1, -10, 99, -370, 1369], 'euler41': [1, 3, 53, 123, 1681], 'euler43': [1, 3, -13, 129, 1849], 'euler47': [1, 8, 105, 376, 2209], 'euler5': [1, 4, 9, 20, 25], 'euler53': [1, -12, 97, -636, 2809], 'euler59': [1, 16, 177, 944, 3481], 'euler61': [1, 0, 77, 0, 3721], 'euler67': [1, 11, 63, 737, 4489], 'euler7': [1, 2, 1, 0, 0], 'euler71': [1, 16, 186, 1136, 5041], 'euler73': [1, 7, 127, 511, 5329], 'euler79': [1, 27, 329, 2133, 6241], 'euler83': [1, 4, 150, 332, 6889], 'euler89': [1, -5, 183, -445, 7921], 'euler97': [1, -24, 293, -2328, 9409], 'euler_factors': [[1, -2, 1, 0, 0], [1, 3, 7, 9, 9], [1, 4, 9, 20, 25], [1, 2, 1, 0, 0], [1, -6, 31, -66, 121], [1, -1, 15, -13, 169], [1, 3, 25, 51, 289], [1, 0, 0, 0, 0], [1, 0, 1, 0, 529], [1, -12, 89, -348, 841], [1, 10, 87, 310, 961], [1, -10, 99, -370, 1369], [1, 3, 53, 123, 1681], [1, 3, -13, 129, 1849], [1, 8, 105, 376, 2209], [1, -12, 97, -636, 2809], [1, 16, 177, 944, 3481], [1, 0, 77, 0, 3721], [1, 11, 63, 737, 4489], [1, 16, 186, 1136, 5041], [1, 7, 127, 511, 5329], [1, 27, 329, 2133, 6241], [1, 4, 150, 332, 6889], [1, -5, 183, -445, 7921], [1, -24, 293, -2328, 9409]], 'id': 21193922, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/5054/2/a/j'], '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': '4-5054e2-1.1-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': '4-5054e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.352668193881617, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1094349391398964531, 'z1': {'__RealLiteral__': 0, 'data': '1.23444376252803623352156962715', 'prec': 103}}