# Stored data for newform 2166.4.a.d, downloaded from the LMFDB on 24 April 2024.
{"label": "2166.4.a.d", "space_label": "2166.4.a", "level": 2166, "weight": 4, "hecke_orbit": 4, "hecke_orbit_code": 13510798949222518, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 787495314864022745, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [7, 1]], [13, [14, 1]]], "qexp_display": "q+2q^{2}-3q^{3}+4q^{4}-7q^{5}-6q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34656, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 127.79813707243417, "hecke_ring_index": 1, "level_radical": 114, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [2166, 1, [1445, 1807], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.047", "prec": 17}, {"__RealLiteral__": 0, "data": "1.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.125", "prec": 17}, {"__RealLiteral__": 0, "data": "2.024", "prec": 17}, {"__RealLiteral__": 0, "data": "0.328", "prec": 17}, {"__RealLiteral__": 0, "data": "5.075", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [19, -1]], "trace_display": [2, -3, -7, -15], "traces": [0, 1, 2, -3, 4, -7, -6, -15, 8, 9, -14, -49, -12, -14, -30, 21, 16, -33, 18, 0, -28, 45, -98, -148, -24, -76, -28, -27, -60, 278, 42, -94, 32, 147, -66, 105, 36, -160, 0, 42, -56, -400, 90, 73, -196, -63, -296, 173, -48, -118, -152, 99, -56, -170, -54, 343, -120, 0, 556, 12, 84, 419, -188, -135, 64, 98, 294, -444, -132, 444, 210, 952, 72, -27, -320, 228, 0, 735, 84, 556, -112, 81, -800, -276, 180, 231, 146, -834, -392, -1386, -126, 210, -592, 282, 346, 0, -96, -130, -236, -441, -304, -238, 198, 1374, -112, -315, -340, -218, -108, 2184, 686, 480, -240, -1334, 0, 1036, 1112, -126, 24, 495, 168, 1070, 838, 1200, -376, 1407, -270, 666, 128, -219, 196, -303, 588, 0, -888, 189, -264, 583, 888, -1467, 420, -519, 1904, 686, 144, -1946, -54, 354, -640, 351, 456, 3100, 0, -297, 1470, 658, 168, -2474, 1112, 510, -224, 2220, 162, 2360, -1600, -1029, -552, 1110, 360, -2001, 462, 0, 292, 258, -1668, 1140, -784, -36, -2772, 3762, -252, -706, 420, -1257, -1184, 1120, 564, 1617, 692, 405, 0, 2659, -192, -3648, -260, -294, -472, 494, -882, -3679, -608, 1332, -476, -4170, 396, 2800, 2748, -1332, -224, 0, -630, -792, -680, -2856, -436, -511, -216, 1410, 4368, 81, 1372, 462, 960, 4636, -480, -684, -2668, 6446, 0, 5765, 2072, -2205, 2224, -5847, -252, -1211, 48, -1668, 990, 2823, 336, 6140, 2140, -243, 1676, 826, 2400, 0, -752, 828, 2814, -3103, -540, 7252, 1332, -693, 256, -2336, -438, 2400, 392, 2502, -606, -2739, 1176, 1190, 0, 4158, -1776, 6486, 378, -308, -528, -630, 1166, 3724, 1776, 2977, -2934, -846, 840, -4570, -1038, 6429, 3808, 0, 1372, 6000, 288, -3824, -3892, 390, -108, -5724, 708, -84, -1280, 1323, 702, 2072, 912, -1095, 6200, 714, 0, -2933, -594, -8304, 2940, -4122, 1316, -791, 336, 10166, -4948, 945, 2224, -6408, 1020, -13622, -448, 654, 4440, 0, 324, 1064, 4720, -6552, -3200, -2595, -2058, -2576, -1104, -1440, 2220, 3108, 720, 7922, -4002, 4002, 924, 4606, 0, 6915, 584, -3108, 516, 2305, -3336, -4619, 2280, 378, -1568, 12366, -72, -6664, -5544, -1485, 7524, -12417, -504, 0, -1412, -3210, 840, 189, -2514, 5776, -2368, -3600, 2240, 2550, 1128, -3392, 3234, -4221, 1384, -3892, 810, -5766, 0, -1998, 5318, -8482, -384, -5145, -7296, 657, -520, -1983, -588, 4884, -944, 909, 988, -3892, -1764, -4555, -7358, 0, -1216, 11624, 2664, 1316, -952, -567, -8340, 7840, 792, 12446, 5600, -1749, 5496, -180, -2664, 1932, -448, 4401, 0, -468, -1260, 7894, -1584, 1557, -1360, 2508, -5712, -6285, -872, -2058, -1022, 9234, -432, -9842, 2820, 5838, 8736, 0, 162, 10966, 2744, -1062, 924, -8795, 1920, 9702, 9272, -1053, -960, -2476, -1368, 19600, -5336, -9300, 12892, -1470, 0, -13837, 11530, 891, 4144, 407, -4410, -17741, 4448, -1974, -11694, 16765, -504, 6660, -2422, 7422, 96, -3577, -3336, 0, 1980, -1530, 5646, -824, 672, 2240, 12280, -6660, 4280, 910, -486, 668, 3352, -7080, 1652, 15080, 4800, -9174, 0, 3087, -1504, -14280, 1656, 10915, 5628, -3330, -6206, -16728, -1080, 1666, 14504, 6003, 2664, -17754, -1386, 405, 512, 0, -4672, -9618, -876, -8477, 4800, -774, 784, 2584, 5004, 2158, -1212, -3420, -5478, 3102, 2352, 9737, 2380, 108, 0, 5600, 8316, 1526, -3552, -11286, 12972, 5782, 756, -14137, -616, 2118, -1056, -15288, -1260, -10222, 2332, 3771, 7448, 0, 3552, -8340, 5954, -3360, -5868, 10387, -1692, -1022, 1680, -4851, -9140, 10404, -2076, 9338, 12858, -1215, 7616, -4258, 0, 6440, 2744, -7977, 12000, 11248, 576, -14869, -7648, 10944, -7784, 4140, 780, 8330, -216, 882, -11448, 1041, 1416, 0, -168, -1482, -2560, -15662, 2646, -3465, 1404, 11037, 4144, -18900, 1824, -6100, -2190, -3996, 12400, -7490, 1428, 5902, 0, 12510, -5866, -2422, -1188, 15901, -16608, -8400, 5880, -30429, -8244, -22484, 2632, 3996, -1582, 20790, 672, -349, 20332, 0, -9896, 5280, 1890, 29885, 4448, 2376, -12816, -4662, 2040, 1652, -27244, 8568, -896, -4038, 1308, 19993, 8880, 1533, 0, -17077, 648, -588, 2128, -4230, 9440, 17631, -13104, 2121, -6400, -243, -5190, -12014, -4116, -10852, -5152, -1386, -2208, 0, -2880, -41144, 4440, -13908, 6216, -20531, 1440, 1708, 15844, 2052, -8004, -17902, 8004, 1950, 1848, -19338, 9212, -2938, 0, -4081, 13830, -17295, 1168, 2380, -6216, 519, 1032, 6615, 4610, 10269, -6672, 13200, -9238, 17541, 4560, -4942, 756, 0, -3136, 3633, 24732, 3570, -144, 19302, -13328, 5004, -11088, 13912, -2970, -4802, 15048, -8469, -24834, -22973, -1008, -20610, 0, -18420, -2824, -21128, -6420, -32429, 1680, 729, 378, -2409, -5028, 2682, 11552, -2478, -4736, 21756, -7200, -15835, 4480, 0, 5100, 16876, 2256, -2457, -6784, -2484, 6468, 3270, -8442, 35296, 2768, 9309, -7784, -21700, 1620, 18259, -11532, -21756, 0, 13455, -3996, -32760, 10636, 2079, -16964, -168, -768, -16061, -10290, 7008, -14592, -4680, 1314, 7144, -1040, -7200, -3966, 0, -1176, -46648, 9768, -7506, -1888, 17318, 1818, 37760, 1976, 8217, -7784, 20010, -3528, -5866, -9110, -3570, -14716, -22008, 0, -5709, -2432, -12474, 23248, 1323, 5328, -15540, 2632, -19458, -1904, -12615, -1134, -45402, -16680, 924, 15680, -16520, 1584, 0, 24892, 1890, 11200, 1335, -3498, -559, 10992, -11172, -360, -13856, -5328, -18228, 3864, -8931, -896, 3894, 8802, -7770, 0, 2538, -936, 13414, -2520, 52895, 15788, 13710, -3168, 14007, 3114, -16050, -2720, -19287, 5016, 23680, -11424, -44718, -12570, 0, -1744, 33924, -4116, -16427, -2044, -18000, 18468, -23292, -864, -1806, -19684, 11472, 5640, -27244, 11676, 6216, 17472, -1170, 0, -21105, 324, 43598, 21932, 17172, 5488, 39123, -2124, -4115, 1848, 252, -17590, -13384, 3840, -9990, 19404, -3969, 18544, 0, -2106, -26334, -1920, -6216, -4952, -26132, -2736, 5610, 39200, 3285, -10672, 4942, -18600, 36718, 25784, -2142, -2940, -46614, 0, 13524, -27674, 8799, 23060, 4545, 1782, 11192, 8288, 24912, 814, -13328, -8820, 12160, -35482, 12366, 8896, 542, -3948, 0, -23388, 2373, 33530, -11319, -1008, 39053, 13320, -30498, -4844, 33398, 14844, 59200, 192, -2835, -7154, -54084, -6672, 378, 0, 19224, 3960, 30484, -3060, -18613, 11292, 40866, -1648, -8745, 1344, -20955, 4480, -1962, 24560, 25536, -13320, 13584, 8560, 0, 1820, -43892, -972, 22005, 1336, -3192, 6704, -30542, -14160, 67914, 3304, 19656, 30160, 2868, 9600, -3458, -18348, 7785, 0, -10804, 6174, 23696, -3008, 7728, -28560, 25753, 3312, -46811, 21830, 4320, 11256, -10290, -6660, -396, -12412, -9324, -33456, 0, -2160, -3280, 3332, -23766, 29008, -48537, 12006, 29190, 5328, -12006, -35508, -38172, -2772, -15686, 810, -13818, 1024, 30400, 0, -7784, -9344, -20745, -19236, 29256, -1752, 45182, -16954, 9324, 9600, -13827, -1548, 38322, 1568, -6915, 5168, -5265, 10008, 0, 4316, 13857, -2424, -22299, -6840, 45668, -10956, -1134, 6204, 5544, 4704, -46500, 19474, -37098, 4760, -36729, 216, -29596, 0, 19992, 11200, 6370, 16632, -4897, 3052, 4455, -7104, -44480, -22572, -5548, 25944, 37251, 11564, 3864, 1512, -25604, -28274, 0, -1232, -9870, 4236, 64111, -2112, 9630, -30576, -24274, -2520, -6178, -20444, -567, 4664, 26396, 7542, 37110, 14896, -17328, 0, 15303, 7104, -3234, -16680, 10800, 11908, -9201, -6720, 11662, -11736, -7650, 20774, -32452, -3384, 10366, -2044, 10176, 3360, 0, -9702, -42880, -18280, 12663, 20808, 17464, -4152, -9410, 18676, 11676, 25716, -67326, -2430, -45122, 15232, 17298, -8516, 14652, 0, -35400, 12880, 5994, 5488, -40355, -15954, 15040, 24000, 25446, 22496, 66720, 1152, 30098, -29738, 15435, -15296, 19404, 21888, 0, -15568, -1971, 8280, -52585, 1560, 40929, 16660, 5949, -432, -16650, 1764, -586, -22896, -14652, 2082, -13148, 2832, 10682, 0, -2727, -336, -53832, -2964, 30015, -5120, 11676, -31324, 45076, 5292, -111200, -6930, 13665, 2808, 16662, 22074, -19761, 8288, 0, -37800, -107016, 3648, 70997, -12200, -34872, -4380, -42980, -7992, -31416, 24800, -3948, -14980, -3870, 2856, 1026, 11804, 1701, 0, -16054, 25020, 25160, -11732, -23520, -4844, -38547, -2376, 8968, 31802, -37338, -33216, 60240, -16800, 4472, 11760, 5247, -60858, 0, -16488, 26924, -44968, 540, 5264, 891, 7992, 65366, -3164, -5796, 41580, 20294, 1344, 41062, -698, -13203, 40664, -56430, 0, 21721, -19792, 1404, 10560, 26636, 3780, 1820, 59770, -23682, 8896, -50764, 4752, 10590, -25632, -4671, -9324, 37600, 4080, 0, 3304, -7524, -54488, 34703, 17136, 21599, -1792, 18855, -8076, 46752, 2616, 16352, 39986, 6174, 17760, -82269, 3066, 3418, 0, -27702, -34154, -16800, 1296, 64790, -1176, 29526, 4256, -79618, -8460, 74529, 18880, -17514, 35262, -10116, -26208, -24255, 4242, 0, -12800, 3332, -486, 19173, -10380, -32898, -24028, -16542, -8232, 9000, -21704, 3186, -10304, 12920, -2772, 66000, -4416, 26385, 0, 12789, -5760, -6862, -82288, -29106, 8880, -39885, -27816, -19236, 12432, 3159, -41062, -18348, 2880, -45402, 3416, 7428, 31688, 0, 4104, 54720, -16008, -58800, -35804, 2156, 16008, -1776, 3900, 27900, 3696, 60312, -38676, 48094, 18424, 4410, -5876, -33934, 0, -25053, -8162, 41511, 27660, -30147, -34590, -68943, 2336, -2673, 4760, -7410, -12432, -64788, 1038, -1221, 2064, -20839, 13230, 0, 9220, 53223, 20538, 3052, -13344, 55185, 26400, 5922, -18476, -32634, 35082, 60496, 9120, -50295, -9884, -62012, 1512, 31990, 0, -19980, -6272, 28834, 7266, 9108, 49464, -22266, 7140, -45003, -288, -30576, 38604, 10731, -26656, -32804, 10008, 88667, -22176, 0, 27824, 5116, -5940, 16887, -9604, 4590, 30096, -42752, -16938, -42000, -49668, 2472, -45946, -56472, -2016, 14847, -41220, -6720, 0, 26768, -36840, 85324, -5648, 19980, -42256, 5355, -12840, 12387, -64858, -2730, 3360, -16262, 1458, -28682, 756, -2004, -4818, 0, -10056, 40068, 5364, 21240, 23104, 18676, -4956, 17310, -9472, -45240, 43512, -912, -14400, 11880, -31670, 27522, 8960, 100880, 0, -73, 10200, -9261, 33752, -23985, 4512, -47931, -4914, 42840, -13568, -52567, -4968, -14504, 12936, -32745, 6540, 82892, -16884, 0, 70592, 9990, 5536, 7665, 18618, -28567, -15568, 50184, -43400, -110136, 3240, 45738, 36518, -4998, -23064, 64000, -43512, 11092, 0, -18009, 26910, 39122, -7992, -31844, -65520, 53262, 21272, 71883, 4158, 47947, -33928, -1215, -336, 58128, -1536, -47260, -32122, 0, -20580, 65712, 14016, -29852, -29184, 28854, -9360, -6930, 2628, -82316, 14288, 25431, -2080, 32454, -14400, 5537, -7932, 2322, 0, -1263, -2352, -69540, -93296, -7752, 19536, -71162, -15012, -4973, -3776, -6474, 34636, -51800, 3636, -14980, 75520, 10260, 3952, 0, 16434, 100360, -15568, -9306, 40020, -49503, -7056, 44856, -11732, -29211, -18220, -96690, -7140, -11680, -29432, -324, -44016, 95354, 0, 81586, -11418, -16800, -4864, 98789, -24948, -86475, 46496, -4578, 2646, 86324, 10656, 73756, -31080, 33858, 5264, 24329, -38916, 0, -3808, -17346, -25230, 108388, -2268, -29727, -90804, 42411, -33360, -19698, 1848, -42818, 31360, -6354, -33040, 87705, 3168, -140896, 0, 45864, 49784, -24012, 3780, -17199, 22400, 30666, 2670, 15980, -6996, 18165, -1118, -11313, 21984, 4290, -22344, -9324, -720, 0, -27712, 18032, -10656, -37334, -36456, 25020, 7728, -151900, -17862, 23168, -1792, 10080, 7788, 66180, 17604, -38925, -15540, -31161, 0, -42345, 5076, 33744, -1872, 3066, 26828, 3996, -5040, 91079, 105790, 14553, 31576, -55454, 27420, -92100, -6336, -31212, 28014, 0, 6228, -74958, -32100, -28014, -5440, -71919, -38574, 21938, 10032, 3645, 47360, 4242, -22848, -32242, -89436, 12774, -25140, 95154, 0, 3336, -3488, -19320, 67848, -48405, -8232, 7854, -32854, 23931, -4088, 67977, -36000, 96940, 36936, -33744, -46584, 121226, -1728, 0, -3612, 44607, -39368, -16899, 22944, -16135, 11280, -32832, -54488, -27680, 23352, 39246, 12432, -12420, 34944, 32333, -2340, 7616, 0, -24990, -42210, -45342, 648, -49923, 87196, -2646, 43864, 46545, 34344, -2071, 10976, -3123, 78246, -29200, -4248, -86562, -8230, 0, 3696, 116482, 504, -108780, -35180, 4446, -26768, -72352, 7680, 31468, -19980, 46986, 38808, -8162, -7938, 103392, 37088, 10395, 0, -93057, -4212, 118550, -52668, -33111, -3840, -115640, -12432, 86919, -9904, 56700, -52264, 35040, -5472, 13328, 11220, 18300, 78400, 0, 6570, 20538, -21344, 11988, 9884, -106557, -37200, 18880, 73436, 22470, 51568, -82288, -4284, 7194, -5880, -17706, -93228, 105336, 0, 2052, 27048, -37530, -55348, -1128, 17598, -26552, 46120, 7266, 9090, -40432, 3564, -54390, 22384, -47703, 16576, 41085, 49824, 0, 1628, 25200, -26656, -73575, -17640, -74178, 24320, 91287, -70964, -72072, 24732, -17850, 17792, 67452, 1084, 98049, -7896, 101232, 0, -11988, -46776, 23744, 4746, -122051, 67060, -62370, -22638, -30837, -2016, -38133, 78106, 1047, 26640, 24054, -60996, 156757, -9688, 0, 66796, -97290, 29688, 27244, 118400, -15840, 384, -2210, -5670, -39386, -14308, -89655, -108168, 40362, -13344, 4620, 756, -7128, 0, 98586, 38448, -12642, 7920, 13986, 60968, -37929, -6120, 40848, -37226, -4956, 22584, 83106, 81732, 59374, -3296, -25704, -17490, 0, 2688, 44022, -41910, 12114, 8960, -55860, -3924, -69200, 49120, -59979, 51072, 153400, -26640, -101780, 27168, -4599, 17120, -4914, 0, -44655, 3640, 51231, -87784, -123432, -1944, 13881, 44010, 1764, 2672, 113054, -6384, 45436, 13408, 12690, -61084, -34188, -28320, 0, 135828, -52893, 6608, 27200, 39312, -43400, 60320, -6363, 5736, 68550, 19200, -184338, -6916, 729, -36696, -113983, 15570, -42256, 0, 36042, -21608, 18098, 12348, -96435, 47392, 32556, -6016, 31885, 15456, 160023, -57120, 4158, 51506, 34594, 6624, 119641, -93622, 0, 43660, 32122, 8640, 11929, 22512, 123432, -20580, 96874, -13320, -81368, -792, 41724, -24824, 47200, -18648, -12777, -66912, 61593, 0, -9212, -4320, -92438, -6560, -5124, 6664, 12629, -47532, 57360, 58016, -6156, -97074, 9120, 24012, -130214, 58380, 53706, 10656, 0, -24012, -54880, -71016, -5850, -76344, 111555, -5544, 34636, -31372, 58014, 1620, -87122, -27636, 205128, 2048, 8814, 60800, 85860, 0, 153506, -15568, 12243, -18688, -35310, -41490, 264656, -38472, 51885, 58512, 74599, -3504, 1260, 90364, -7140, -33908, 38094, 18648, 0, 19200, -1557, -27654, 20976, -3096, 41736, 76644, -19845, 3136, 108344, -13830, 57600, 10336, -30807, -10530, -61416, 20016, 160614, 0, -39600, 8632, -31080, 27714, 3276, -4848, -52623, -44598, -41559, -13680, -130291, 91336, 14826, -21912, -55258, -2268, -8614, 12408, 0, 11088, 117602, 9408, 98699, -93000, -10899, 38948, -7506, -74196, -33040, 9520, -10710, -73458, 178752, 432, -46431, -59192, -57906, 0, 14587, 39984, 4808, 22400, -15012, 12740, 43995, 33264, 125421, -9794, -41736, 6104, 53262, 8910, 62266, -14208, 14406, -88960, 0, -45144, 124560, -11096, 25407, 51888, 112350, 74502, -64638, 23128, 68919, 7728, -21978, 3024, -179616, -51208, 61830, -56548, 68894, 0, -24206, -2464, 55260, -19740, -15540, 8472, 68000, 128222, 63384, -4224, 11865, 19260, 50654, -61152, 97287, -48548, -1920, -5040, 0, -12356, -2187, -40888, 180271, -1134, -152490, 9328, 7227, 52792, -76762, 15084, 58772, 74220, -8046, 29792, -89488, -34656, 115532, 0, 7434, 30606, 126656, 14208, -73894, -6468, -65268, -33360, 35891, 21600, 61565, 23816, 47505, -18402, 96120, -13440, 128191, 23324, 0, -23472, 105336, -15300, 9999, 41548, -50628, -64904, 19240, -6768, 204330, 20732, 7371, -4088, 59634, 20352, 127136, 6720, 7452, 0, 65407, -19404, 17332, -85760, -9810, -36560, -3612, 25326, 130929, 41616, -105888, 34928, -137200, -8304, -67040, -18820, -27927, 37352, 0, 23352, 2538, 51432, 65100, -134652, -67279, -4860, 200430, -90244, -54777, 30464, -158454, 34596, -15960, -17032, 65268, 29304, -12410, 0, -202225, -70800, -40365, 25760, 96859, 11988, 2800, 10976, 98280, -80710, 154568, -31908, 10580, 30080, -6237, 48000, -163641, 50892, 0, 44992, 504, 133440, -20414, 2304, -2849, 60196, 48183, -59476, 10734, 30870, -60668, -30592, -21024, 38808, 124187, 43776, 38640, 0, 14040, -31136, 38808, -3942, 35224, 16560, -21432, -105170, -52668, 3120, -19239, 81858, 21600, 33320, -138872, 11898, -117355, -864, 0, -33300, 54470, 3528, -78390, -1172, 139944, -45792, -46620, -29304, -34722, 4164, 22518, -26296, -22298, 5664, 9884, 21364, -51954, 0, -22965, -5454, -118830, -672, -113280, -107664, 48411, -5928, 25039, 60030, -24651, -10240, -203352, 23352, 180986, -62648, -60030, 90152, 0, 10584, 184804, -222400, 17598, -13860, -15991, 27330, -14022, 5616, 10710, 33324, -69090, 44148, -87764, -39522, 66024, 16576, -13534, 0, 5768, -75600, 17127, -214032, 28472, 7296, -63251, 141994, 37422, -24400, -15680, -69744, -76728, -8760, -3969, -85960, -139380, -15984, 0, -62832, 46620, 49600, 221071, -7896, -4800, -29960, 58374, -7740, -8682, 5712, 9880, 2052, 37845, 23608, -34575, 3402, -22638, 0, 136206, -32108, -4676, 50040, 114961, 50320, -2772, -23464, -26614, -47040, 69285, -9688, 49560, -77094, -80916, -4752, -52264, 17936, 0, 63604, -227164, -74676, -105560, -66432, -5670, 120480, 66160, -33600, 32264, 8944, -4005, 23520, 64218, 10494, -45853, -121716, 1677, 0, -185490, -32976, -155198, 53848, 33516, -89936, -49878, 1080, 71040, 10528, 41568, 1782, -37226, 15984, 99960, 130732, 54684, -6328, 0, -11592, -29410, 83160, 26793, 40588, -76405, 2688, -315854, 82124, -11682, -1396, -167600, -26406, 81006, 81328, 23310, -112860, -323232, 0, 51072, 43442, -7614, -39584, 186255, 2808, 117096, 21120, -40242, 53272, -282485, 7560, -38698, 3640, -158685, 119540, 18088, -47364, 0, 17792, -41130, -101528, -66468, 9504, -11583, 21180, -42021, -51264, 876, -9342, 53514, -18648, 48150, 75200, 201413, 8160, 124278, 0, 57861, 6608, 66392, -15048, -10255, -108976, -71040, 69406, -2835, 34272, -182251, 43198, 134154, -3584, -6916, 37710, 286503, -16152, 0, 93504, -102300, 5232, -86640, 32704, -101772, 79972, 25944, 12348, -104424, 35520, 49281, -164538, -48962, 6132, -385308, 6836, 54000, 0, 59339, -55404, 51506, -68308, 69876, -33600, 50432, 2592, -106465, 129580, 5418, -2352, 20060, 59052, 197432, 8512, -34416, -159236, 0, -16920, -18088, 149058, 81732, 37760, 183165, -35028, 50880, 70524, -18648, -20232, -15106, -52416, -191328, -48510, 3510, 8484, -23850, 0, 30587, -25600, 63315, 6664, -152320, -972, -138327, 38346, -130794, -20760, -58879, -65796, -21714, -48056, -51516, -33084, 58380, -16464, 0, 18000, -117369, -43408, -68159, 6372, 787, -20608, 12345, 25840, -300860, -5544, 86490, 132000, -756, -8832, -105555, 52770, -142974, 0, 40152, 25578, 153466, -11520, -39200, -13724, 29970, -164576, 81642, -58212, -169952, 17760, 11907, -79770, 16568, -55632, -200270, -38472, 0, 24864, 127230, 6318, -122273, -82124, 79002, -36696, 21458, 5760, 100864, -90804, 18648, 6832, 2578, 14856, -40474, 63376, 78396, 0, 80112, 8208, 4320, 109440, -16830, -32016, 98959, -117600, -40013, -71608, -9855, 4312, -41052, 32016, 127522, -3552, -14826, 7800, 0, 55800, -126940, 7392, -110154, 120624, 29745, -77352, -165984, 96188, 6426, 36848, 207850, 8820, -55690, -11752, 139842, -67868, 71554, 0, -73260, -50106, -40572, -16324, -8010, 83022, 11088, 55320, -26397, -60294, 177600, -69180, 179188, -137886, -13635, 4672, -207167, -5346, 0, 9520, -33576, -14820, 130284, -24864, 152047, -129576, -74736, 2076, 58380, -2442, 71190, 4128, 39984, -41678, -77880, 26460, 2076, 0, -36480, 18440, 274754, 106446, 68325, 41076, -37098, 6104, -158360, -26688, -72709, 110370, -1626, 52800, 23472, 11844, 88307, -36952, 0, -65268, 7154, 70164, 29173, 120992, -7119, 18240, 92320, -100590, -135526, -19768, 33957, -124024, -174360, 3024, -119977, 63980, -117159, 0, -36140, -39960, -72828, -12544, 91494, 57668, -182947, 14532, -19740, 18216, -100194, 98928, 101384, -44532, 114464, 14280, -177600, -90006, 0, -576, -125362, -61152, 8505, 77208, -144675, 21462, -36630, -53312, 162252, -65608, 74438, 20016, 29806, 177334, -1134, -44352, -117600, 0, 56219, 55648, -57672, 10232, -45080, -11880, -79958, 33774, -91452, -19208, -109758, 9180, -186690, 60192, 55839, -85504, 72487, -33876, 0, -84000, -122598, -99336, 66033, 4944, -208236, -91892, 26235, -112944, 62406, -4032, -32412, 29694, 62865, -82440, 104083, -13440, 17980, 0, 5886, 53536, -1416, -73680, 134211, 170648, -76608, -11296, -124494, 39960, -64904, -84512, -40752, 10710, 76274, -25680, -28980, 24774, 0, -129716, 33300, -5460, -380800, 6720, 131676, -32524, -58310, 2916, -124634, -57364, -66015, 1512, -98568, -4008, -88960, -9636, 9576, 0, -90991, -20112, -66164, 80136, 91626, 10728, 7020, 42480, -7287, 46208, -203742, 37352, -119470, -9912, -8514, 34620, -58968, -18944, 0, -90480, -118410, 87024, -8604, -1824, -90244, -28800, -192208, 23760, 10374, -63340, -285330, 55044, -317814, 17920, -23355, 201760, -191606, 0, 109634, -146, 32412, 20400, 102145, -18522, 168473, 67504, -71088, -47970, -37620, 9024, -80710, -95862, -23184, -9828, 15092, 85680, 0, -27136, -77259, -105134, 381972, -9936, -49442, -29008, 140433, 25872, 10800, -65490, 132300, 13080, -12960, 165784, 138209, -33768], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "114.4.a.b", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [2], [-3], [4], [-7], [-6], [-15], [8], [9], [-14], [-49], [-12], [-14], [-30], [21], [16], [-33], [18], [0], [-28], [45], [-98], [-148], [-24], [-76], [-28], [-27], [-60], [278], [42], [-94], [32], [147], [-66], [105], [36], [-160], [0], [42], [-56], [-400], [90], [73], [-196], [-63], [-296], [173], [-48], [-118], [-152], [99], [-56], [-170], [-54], [343], [-120], [0], [556], [12], [84], [419], [-188], [-135], [64], [98], [294], [-444], [-132], [444], [210], [952], [72], [-27], [-320], [228], [0], [735], [84], [556], [-112], [81], [-800], [-276], [180], [231], [146], [-834], [-392], [-1386], [-126], [210], [-592], [282], [346], [0], [-96], [-130], [-236], [-441], [-304]]}