Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 33433.060989435646, 'bad_primes': [2, 3, 7, 13], 'central_character': '1.1', 'conductor': 162771336, 'conductor_radical': 546, 'degree': 6, 'dirichlet_coefficients': [1, 6, -9, 24, 7, -54, -21, 80, 54, 42, -47, -216, 39, -126, -63, 240, 119, 324, 101, 168, 189, -282, -27, -720, -30, 234, -270, -504, 345, -378, 152, 672, 423, 714, -147, 1296, 227, 606, -351, 560, 452, 1134, -415, -1128, 378, -162, 240, -2160, 294, -180, -1071, 936, 874, -1620, -329, -1680, -909, 2070, 948, -1512, 951, 912, -1134, 1792, 273, 2538, 742, 2856, 243, -882, 732, 4320, -585, 1362, 270, 2424, 987, -2106, -618, 1680, 1215, 2712, 774, 4536, 833, -2490, -3105, -3760, 730, 2268, -819, -648, -1368, 1440, 707, -6048, 2518, 1764, -2538, -720], 'euler11': [1, 47, 3009, 121666, 4004979, 83263367, 2357947691], 'euler13': [1, -39, 507, -2197, 0, 0, 0], 'euler17': [1, -119, 12491, -975258, 61368283, -2872370711, 118587876497], 'euler19': [1, -101, 14313, -758110, 98172867, -4751633981, 322687697779], 'euler2': [1, -6, 12, -8, 0, 0, 0], 'euler23': [1, 27, 8509, 1749194, 103529003, 3996969003, 1801152661463], 'euler29': [1, -345, 93951, -16062286, 2291370939, -205214045745, 14507145975869], 'euler3': [1, 9, 27, 27, 0, 0, 0], 'euler31': [1, -152, 39869, -2696656, 1187737379, -134900559512, 26439622160671], 'euler37': [1, -227, 60543, -8893578, 3066684579, -582419894843, 129961739795077], 'euler41': [1, -452, 165895, -40174120, 11433649295, -2147047116932, 327381934393961], 'euler43': [1, 415, 193329, 55010826, 15371008803, 2623365665335, 502592611936843], 'euler47': [1, -240, 201957, -52171296, 20967781611, -2587011678960, 1119130473102767], 'euler5': [1, -7, 79, 214, 9875, -109375, 1953125], 'euler53': [1, -874, 389363, -137558140, 57967195351, -19371651626746, 3299763591802133], 'euler59': [1, -948, 742897, -351969432, 152575442963, -39987145891668, 8662995818654939], 'euler61': [1, -951, 777543, -412672466, 176487487683, -48995876017311, 11694146092834141], 'euler67': [1, -742, 287377, -84916836, 86432368651, -67120119569398, 27206534396294947], 'euler7': [1, 21, 147, 343, 0, 0, 0], 'euler71': [1, -732, 1164141, -514616872, 416658869451, -93769407830172, 45848500718449031], 'euler73': [1, 585, 211531, -66466602, 82289155027, 88530522379065, 58871586708267913], 'euler79': [1, 618, 1178605, 577905836, 581098230595, 150228047511978, 119851595982618319], 'euler83': [1, -774, -19175, 631907084, -10964015725, -253051848987606, 186940255267540403], 'euler89': [1, -730, 1969183, -977258332, 1388212970327, -362796342401530, 350356403707485209], 'euler97': [1, -2518, 4687407, -5026558836, 4278069808911, -2097423508411222, 760231058654565217], 'euler_factors': [[1, -6, 12, -8, 0, 0, 0], [1, 9, 27, 27, 0, 0, 0], [1, -7, 79, 214, 9875, -109375, 1953125], [1, 21, 147, 343, 0, 0, 0], [1, 47, 3009, 121666, 4004979, 83263367, 2357947691], [1, -39, 507, -2197, 0, 0, 0], [1, -119, 12491, -975258, 61368283, -2872370711, 118587876497], [1, -101, 14313, -758110, 98172867, -4751633981, 322687697779], [1, 27, 8509, 1749194, 103529003, 3996969003, 1801152661463], [1, -345, 93951, -16062286, 2291370939, -205214045745, 14507145975869], [1, -152, 39869, -2696656, 1187737379, -134900559512, 26439622160671], [1, -227, 60543, -8893578, 3066684579, -582419894843, 129961739795077], [1, -452, 165895, -40174120, 11433649295, -2147047116932, 327381934393961], [1, 415, 193329, 55010826, 15371008803, 2623365665335, 502592611936843], [1, -240, 201957, -52171296, 20967781611, -2587011678960, 1119130473102767], [1, -874, 389363, -137558140, 57967195351, -19371651626746, 3299763591802133], [1, -948, 742897, -351969432, 152575442963, -39987145891668, 8662995818654939], [1, -951, 777543, -412672466, 176487487683, -48995876017311, 11694146092834141], [1, -742, 287377, -84916836, 86432368651, -67120119569398, 27206534396294947], [1, -732, 1164141, -514616872, 416658869451, -93769407830172, 45848500718449031], [1, 585, 211531, -66466602, 82289155027, 88530522379065, 58871586708267913], [1, 618, 1178605, 577905836, 581098230595, 150228047511978, 119851595982618319], [1, -774, -19175, 631907084, -10964015725, -253051848987606, 186940255267540403], [1, -730, 1969183, -977258332, 1388212970327, -362796342401530, 350356403707485209], [1, -2518, 4687407, -5026558836, 4278069808911, -2097423508411222, 760231058654565217]], 'id': 20377556, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/546/4/a/p'], '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': '6-546e3-1.1-c3e3-0-2', '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}], 'nu_real_doubled': [3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '6-546e3-1.1-c3e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.675829707023845, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e3-0', 'trace_hash': 2233865561266201352, 'z1': {'__RealLiteral__': 0, 'data': '0.63470299444771382114383411091', 'prec': 103}}