Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 64860626.53160265, 'bad_primes': [3, 13], 'central_character': '1.1', 'conductor': 5352009260481, 'conductor_radical': 39, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41, 216, 0, 0, 0, 0, 0, 120, 0, -228, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1064, 0, 0, 0, 0, 0, -328, 0, 0, 0, 864, 0, 0, 0, 0, 0, 0, 0, -2280, 0, 0, -411, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 684], 'euler11': [1, 0, 4896, 0, 9533230, 0, 8673562656, 0, 3138428376721], 'euler13': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler17': [1, -216, 37148, -3813480, 325244166, -18735627240, 896662413212, -25614981323352, 582622237229761], 'euler19': [1, 0, 15880, 0, 155242878, 0, 747088590280, 0, 2213314919066161], 'euler2': [1, 0, 3, 0, -32, 0, 192, 0, 4096], 'euler23': [1, -120, 7340, -1684440, 387171078, -20494581480, 1086583425260, -216138319375560, 21914624432020321], 'euler29': [1, -48, 51692, -2397456, 1870954134, -58471554384, 30747607109132, -696343006841712, 353814783205469041], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, 102136, 0, 4357504590, 0, 90646075962616, 0, 787662783788549761], 'euler37': [1, 0, 2164, 0, -2618990922, 0, 5552231949076, 0, 6582952005840035281], 'euler41': [1, 0, 230292, 0, 22372016182, 0, 1093911005868372, 0, 22563490300366186081], 'euler43': [1, 1064, 695836, 304211432, 100250941270, 24186938324024, 4398631978563964, 534758539100800952, 39959630797262576401], 'euler47': [1, 0, -85056, 0, 23167872958, 0, -916836939023424, 0, 116191483108948578241], 'euler5': [1, 0, 228, 0, 33862, 0, 3562500, 0, 244140625], 'euler53': [1, -864, 454892, -244521504, 117888694710, -36403627951008, 10082390562693068, -2850995743317042912, 491258904256726154641], 'euler59': [1, 0, 716592, 0, 212420895502, 0, 30226232962871472, 0, 1779197418239532716881], 'euler61': [1, 2280, 2836556, 2269646520, 1283568200406, 515166636756120, 146140427015940716, 26662653091661841480, 2654348974297586158321], 'euler67': [1, 0, 475384, 0, 105182398878, 0, 43002467549027896, 0, 8182718904632857144561], 'euler7': [1, 0, 328, 0, 51918, 0, 38588872, 0, 13841287201], 'euler71': [1, 0, 1283952, 0, 666179277502, 0, 164474615740935792, 0, 16409682740640811134241], 'euler73': [1, 0, 762916, 0, 359882924838, 0, 115455302583498724, 0, 22902048046490258711521], 'euler79': [1, -288, 1670972, -379629216, 1187441938374, -187172009027424, 406192331726836412, -34517259642994075872, 59091511031674153381441], 'euler83': [1, 0, 1633872, 0, 1321255515118, 0, 534178721717154768, 0, 106890007738661124410161], 'euler89': [1, 0, 2759412, 0, 2896886558902, 0, 1371376138053274932, 0, 246990403565262140303521], 'euler97': [1, 0, -53564, 0, 1619815156998, 0, -44617312472016956, 0, 693842360995438000295041], 'euler_factors': [[1, 0, 3, 0, -32, 0, 192, 0, 4096], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 228, 0, 33862, 0, 3562500, 0, 244140625], [1, 0, 328, 0, 51918, 0, 38588872, 0, 13841287201], [1, 0, 4896, 0, 9533230, 0, 8673562656, 0, 3138428376721], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -216, 37148, -3813480, 325244166, -18735627240, 896662413212, -25614981323352, 582622237229761], [1, 0, 15880, 0, 155242878, 0, 747088590280, 0, 2213314919066161], [1, -120, 7340, -1684440, 387171078, -20494581480, 1086583425260, -216138319375560, 21914624432020321], [1, -48, 51692, -2397456, 1870954134, -58471554384, 30747607109132, -696343006841712, 353814783205469041], [1, 0, 102136, 0, 4357504590, 0, 90646075962616, 0, 787662783788549761], [1, 0, 2164, 0, -2618990922, 0, 5552231949076, 0, 6582952005840035281], [1, 0, 230292, 0, 22372016182, 0, 1093911005868372, 0, 22563490300366186081], [1, 1064, 695836, 304211432, 100250941270, 24186938324024, 4398631978563964, 534758539100800952, 39959630797262576401], [1, 0, -85056, 0, 23167872958, 0, -916836939023424, 0, 116191483108948578241], [1, -864, 454892, -244521504, 117888694710, -36403627951008, 10082390562693068, -2850995743317042912, 491258904256726154641], [1, 0, 716592, 0, 212420895502, 0, 30226232962871472, 0, 1779197418239532716881], [1, 2280, 2836556, 2269646520, 1283568200406, 515166636756120, 146140427015940716, 26662653091661841480, 2654348974297586158321], [1, 0, 475384, 0, 105182398878, 0, 43002467549027896, 0, 8182718904632857144561], [1, 0, 1283952, 0, 666179277502, 0, 164474615740935792, 0, 16409682740640811134241], [1, 0, 762916, 0, 359882924838, 0, 115455302583498724, 0, 22902048046490258711521], [1, -288, 1670972, -379629216, 1187441938374, -187172009027424, 406192331726836412, -34517259642994075872, 59091511031674153381441], [1, 0, 1633872, 0, 1321255515118, 0, 534178721717154768, 0, 106890007738661124410161], [1, 0, 2759412, 0, 2896886558902, 0, 1371376138053274932, 0, 246990403565262140303521], [1, 0, -53564, 0, 1619815156998, 0, -44617312472016956, 0, 693842360995438000295041]], 'id': 20922289, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1521/4/a/x'], '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': '8-39e8-1.1-c3e4-0-1', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-39e8-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 9.473220419621383, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 619755249813529744, 'z1': {'__RealLiteral__': 0, 'data': '0.11453834143139711145686727803', 'prec': 103}}