Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 18532.47789640417, 'bad_primes': [3, 5, 11], 'central_character': '1.1', 'conductor': 4492125, 'conductor_radical': 165, 'degree': 6, 'dirichlet_coefficients': [1, -2, 27, -32, -75, -54, -232, 96, 486, 150, 363, -864, 450, 464, -2025, -112, -334, -972, -4036, 2400, -6264, -726, -7060, 2592, 3750, -900, 7290, 7424, 4042, 4050, -608, -1696, 9801, 668, 17400, -15552, 2250, 8072, 12150, -7200, 10654, 12528, -35528, -11616, -36450, 14120, -2100, -3024, 5535, -7500, -9018, -14400, -12826, -14580, -27225, -22272, -108972, -8084, -81876, 64800, -62298, 1216, -112752, 11776, -33750, -19602, -46148, 10688, -190620, -34800, -64724, 46656, 810, -4500, 101250, 129152, -84216, -24300, 43876, 8400, 98415, -21308, -101024, 200448, 25050, 71056, 109134, 34848, 60022, 72900, -104400, 225920, -16416, 4200, 302700, -45792, -319746, -11070, 176418, -120000], 'euler11': [1, -363, 43923, -1771561, 0, 0, 0], 'euler13': [1, -450, 1068439, -311504212, 396703921627, 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15181127029874798299], [1, 7060, 25138261, 66605461592, 161798470219523, 292471169168361940, 266635235464391245607], [1, -4042, 41491883, -99862913932, 851046194503567, -1700498636999412442, 8629188747598184440949], [1, 608, -4957539, -176765401280, -141930132619389, 498333998484327008, 23465261991844685929951], [1, -2250, 76046251, -743927675036, 5273347959355207, -10819314837940160250, 333446267951815307088493], [1, -10654, 367707807, -2476467488116, 42601229597061207, -143005012290363680254, 1555098314991537910888601], [1, 35528, 861670557, 12105543975808, 126672846963512751, 767812743626362798472, 3177070365797955661914307], [1, 2100, 593888701, 1015411414488, 136205408288065907, 110458177695243102900, 12063348350820368238715343], [1, 12826, 419938891, 13415490019292, 175616551551618263, 2243106694908070366474, 73137151889028619724488157], [1, 81876, 3647590801, 113436530018552, 2607751296443773499, 41848195293243315348276, 365409786560616989860302899], [1, 62298, 3103700755, 92329281973340, 2621374177083907255, 44439836710774260277098, 602486784535040403801858901], [1, 46148, 3289111289, 83962738468760, 4440711730996032923, 84120319004454687348452, 2461059085914092013369600043], [1, 64724, 6737647765, 242132017763608, 12156261854312550515, 210692383595563550853524, 5873205959385493353867330551], [1, -810, 973289755, -147790502790292, 2017699342848429715, -3481076922059881695690, 8909286024901500973179764857], [1, -43876, -340410235, 81866739123944, -1047461491891843765, -415430081401335547791076, 29134419507545592909032289199], [1, 101024, 13571488893, 801669575220272, 53458646335550078199, 1567492544896284138831776, 61118316854865828343112727707], [1, -60022, 6543211047, -916436193435188, 36537679473801533103, -1871589193636430272099222, 174120577810999285787632895849], [1, 319746, 51760850431, 5671445258599612, 444488034642682100767, 23578841487814573157863554, 633251189136789386043275954593]], 'id': 20367506, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/165/6/a/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': '6-165e3-1.1-c5e3-0-3', 'motivic_weight': 5, '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}], 'nu_real_doubled': [5, 5, 5], 'order_of_vanishing': 3, 'prelabel': '6-165e3-1.1-c5e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.144252158394046, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5e3-0', 'trace_hash': 796421780075174316, 'z1': {'__RealLiteral__': 0, 'data': '1.47606669972464682093444461920', 'prec': 103}}