Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 205.5628777190375, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 59049, 'conductor_radical': 3, 'degree': 4, 'dirichlet_coefficients': [1, -3, 0, 8, 3, 0, 10, -45, 0, -9, -12, 0, -8, -30, 0, 135, -252, 0, -182, 24, 0, 36, 93, 0, 125, 24, 0, 80, -183, 0, -170, -360, 0, 756, 30, 0, -344, 546, 0, -135, -474, 0, 172, -96, 0, -279, 159, 0, 343, -375, 0, -64, 1206, 0, -36, -450, 0, 549, -564, 0, 430, 510, 0, 1513, -24, 0, 439, -2016, 0, -90, -702, 0, -1454, 1032, 0, -1456, -120, 0, -1232, 405, 0, 1422, -498, 0, -756, -516, 0, 540, -2088, 0, -80, 744, 0, -477, -546, 0, -1151, -1029, 0, 1000], 'euler11': [1, 12, -1187, 15972, 1771561], 'euler13': [1, 8, -2133, 17576, 4826809], 'euler17': [1, 252, 25702, 1238076, 24137569], 'euler19': [1, 182, 21999, 1248338, 47045881], 'euler2': [1, 3, 1, 24, 64], 'euler23': [1, -93, -3518, -1131531, 148035889], 'euler29': [1, 183, 9100, 4463187, 594823321], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, 170, -891, 5064470, 887503681], 'euler37': [1, 344, 130890, 17424632, 2565726409], 'euler41': [1, 474, 155755, 32668554, 4750104241], 'euler43': [1, -172, -49923, -13675204, 6321363049], 'euler47': [1, -159, -78542, -16507857, 10779215329], 'euler5': [1, -3, -116, -375, 15625], 'euler53': [1, -1206, 661363, -179545662, 22164361129], 'euler59': [1, 564, 112717, 115833756, 42180533641], 'euler61': [1, -430, -42081, -97601830, 51520374361], 'euler67': [1, -439, -108042, -132034957, 90458382169], 'euler7': [1, -10, -243, -3430, 117649], 'euler71': [1, 702, 839023, 251253522, 128100283921], 'euler73': [1, 1454, 1306563, 565630718, 151334226289], 'euler79': [1, 1232, 1024785, 607424048, 243087455521], 'euler83': [1, 498, -323783, 284749926, 326940373369], 'euler89': [1, 2088, 2499874, 1471975272, 496981290961], 'euler97': [1, 1151, 412128, 1050486623, 832972004929], 'euler_factors': [[1, 3, 1, 24, 64], [1, 0, 0, 0, 0], [1, -3, -116, -375, 15625], [1, -10, -243, -3430, 117649], [1, 12, -1187, 15972, 1771561], [1, 8, -2133, 17576, 4826809], [1, 252, 25702, 1238076, 24137569], [1, 182, 21999, 1248338, 47045881], [1, -93, -3518, -1131531, 148035889], [1, 183, 9100, 4463187, 594823321], [1, 170, -891, 5064470, 887503681], [1, 344, 130890, 17424632, 2565726409], [1, 474, 155755, 32668554, 4750104241], [1, -172, -49923, -13675204, 6321363049], [1, -159, -78542, -16507857, 10779215329], [1, -1206, 661363, -179545662, 22164361129], [1, 564, 112717, 115833756, 42180533641], [1, -430, -42081, -97601830, 51520374361], [1, -439, -108042, -132034957, 90458382169], [1, 702, 839023, 251253522, 128100283921], [1, 1454, 1306563, 565630718, 151334226289], [1, 1232, 1024785, 607424048, 243087455521], [1, 498, -323783, 284749926, 326940373369], [1, 2088, 2499874, 1471975272, 496981290961], [1, 1151, 412128, 1050486623, 832972004929]], 'id': 18618547, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/243/4/c/a'], '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': '4-3e10-1.1-c3e2-0-5', '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': 2, 'prelabel': '4-3e10-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.786484402634583, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 283317749863126925, 'z1': {'__RealLiteral__': 0, 'data': '1.71309013009169824042976514907', 'prec': 103}}