Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 1037.808986673586, 'bad_primes': [2, 3, 7, 13], 'central_character': '1.1', 'conductor': 298116, 'conductor_radical': 546, 'degree': 4, 'dirichlet_coefficients': [1, -2, 3, 0, 44, -6, -7, 8, 0, -88, -16, 0, 91, 14, 132, -16, 99, 0, 22, 0, -21, 32, -153, 24, 1202, -182, -27, 0, -222, -264, 182, 0, -48, -198, -308, 0, 266, -44, 273, 352, 378, 42, -85, 0, 0, 306, -524, -48, 0, -2404, 297, 0, 742, 54, -704, -56, 66, 444, -515, 0, -483, -364, 0, 64, 4004, 96, 155, 0, -459, 616, 849, 0, 568, -532, 3606, 0, 112, -546, -232, -704, -81, -756, 646, 0, 4356, 170, -666, -128, -537, 0, -637, 0, 546, 1048, 968, 0, -892, 0, 0, 0], 'euler11': [1, 16, -1075, 21296, 1771561], 'euler13': [1, -91, 2197, 0, 0], 'euler17': [1, -99, 4888, -486387, 24137569], 'euler19': [1, -22, -6375, -150898, 47045881], 'euler2': [1, 2, 4, 0, 0], 'euler23': [1, 153, 11242, 1861551, 148035889], 'euler29': [1, 222, 24895, 5414358, 594823321], 'euler3': [1, -3, 9, 0, 0], 'euler31': [1, -182, 67863, -5421962, 887503681], 'euler37': [1, -266, 20103, -13473698, 2565726409], 'euler41': [1, -378, 73963, -26052138, 4750104241], 'euler43': [1, 85, -72282, 6758095, 6321363049], 'euler47': [1, 524, 276290, 54403252, 10779215329], 'euler5': [1, -44, 734, -5500, 15625], 'euler53': [1, -742, 435395, -110466734, 22164361129], 'euler59': [1, 515, 59846, 105770185, 42180533641], 'euler61': [1, 483, 6308, 109631823, 51520374361], 'euler67': [1, -155, -276738, -46618265, 90458382169], 'euler7': [1, 7, 49, 0, 0], 'euler71': [1, -849, 362890, -303866439, 128100283921], 'euler73': [1, -568, 858690, -220961656, 151334226289], 'euler79': [1, 232, 999534, 114385048, 243087455521], 'euler83': [1, -646, 1247903, -369374402, 326940373369], 'euler89': [1, 537, -416600, 378568353, 496981290961], 'euler97': [1, 892, -117009, 814104316, 832972004929], 'euler_factors': [[1, 2, 4, 0, 0], [1, -3, 9, 0, 0], [1, -44, 734, -5500, 15625], [1, 7, 49, 0, 0], [1, 16, -1075, 21296, 1771561], [1, -91, 2197, 0, 0], [1, -99, 4888, -486387, 24137569], [1, -22, -6375, -150898, 47045881], [1, 153, 11242, 1861551, 148035889], [1, 222, 24895, 5414358, 594823321], [1, -182, 67863, -5421962, 887503681], [1, -266, 20103, -13473698, 2565726409], [1, -378, 73963, -26052138, 4750104241], [1, 85, -72282, 6758095, 6321363049], [1, 524, 276290, 54403252, 10779215329], [1, -742, 435395, -110466734, 22164361129], [1, 515, 59846, 105770185, 42180533641], [1, 483, 6308, 109631823, 51520374361], [1, -155, -276738, -46618265, 90458382169], [1, -849, 362890, -303866439, 128100283921], [1, -568, 858690, -220961656, 151334226289], [1, 232, 999534, 114385048, 243087455521], [1, -646, 1247903, -369374402, 326940373369], [1, 537, -416600, 378568353, 496981290961], [1, 892, -117009, 814104316, 832972004929]], 'id': 24085408, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/546/4/l/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': '4-546e2-1.1-c3e2-0-3', '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': '4-546e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.675829707023846, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 751799342232440902, 'z1': {'__RealLiteral__': 0, 'data': '1.01713968434453822484568122939', 'prec': 103}}