# Stored data for newform 1058.4.a.u, downloaded from the LMFDB on 13 January 2026. {"Nk2": 16928, "analytic_conductor": 62.42402078607357, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [23, 1]], "atkin_lehner_string": "++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1058, 1, [5], [1]], "cm_discs": [], "conrey_index": 1, "dim": 15, "field_disc": 10527026022887223988250030564227432609, "field_disc_factorization": [[11, 12], [22986877, 1], [145919557046864677, 1]], "field_poly": [-23850793, -193980531, -265419860, 239879120, 286025276, -180363581, -29345287, 20608820, 1237405, -966502, -27616, 22092, 347, -242, -2, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-162084473, -247452712, 949126773, 1033068034, -159369149, -273016854, 3536498, 25222847, 293470, -1094609, -13876, 23850, 204, -250, -1, 1]], [5, [4211163795341207, -1405710925113204, -189895571531722, 82796841924731, 3242761670971, -1975054941490, -26653609037, 24478973761, 109390731, -168820824, -193100, 646049, 80, -1273, 0, 1]]], "hecke_orbit": 21, "hecke_orbit_code": 90071992614519842, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 279841, "hecke_ring_index_factorization": [[23, 4]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1058.4.a.u", "level": 1058, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 23], "level_radical": 46, "minimal_twist": "46.4.c.b", "prim_orbit_index": 1, "qexp_display": "q-2q^{2}+\\beta _{4}q^{3}+4q^{4}+\\beta _{7}q^{5}-2\\beta _{4}q^{6}+\\cdots", "related_objects": [], "relative_dim": 15, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1058.4.a", "trace_display": [-30, 1, 0, 80], "trace_hash": 981426782632892957, "trace_moments": [{"__RealLiteral__": 0, "data": "0.216", "prec": 17}, {"__RealLiteral__": 0, "data": "12.155", "prec": 20}, {"__RealLiteral__": 0, "data": "2.249", "prec": 17}, {"__RealLiteral__": 0, "data": "457.008", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "31612.671", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 15, -30, 1, 60, 0, -2, 80, -120, 96, 0, -15, 4, 52, -160, 224, 240, -72, -192, 145, 0, 57, 30, 0, -8, 671, -104, 85, 320, -202, -448, -320, -480, 114, 144, 500, 384, 768, -290, 653, 0, -247, -114, 1210, -60, -24, 0, -754, 16, 1553, -1342, 779, 208, -277, -170, -1238, -640, 1239, 404, -660, 896, 592, 640, 1665, 960, -546, -228, 1958, -288, 0, -1000, 3626, -768, -2459, -1536, -4597, 580, -2198, -1306, 1038, 0, 139, 494, 1192, 228, 3324, -2420, 547, 120, -70, 48, 2067, 0, 2465, 1508, -4756, -32, 3856, -3106, -1569, 2684, 391, -1558, 6246, -416, 2450, 554, 314, 340, 2598, 2476, 1552, 1280, -140, -2478, 0, -808, 11794, 1320, -5629, -1792, -6266, -1184, 1724, -1280, -240, -3330, -521, -1920, 149, 1092, 4515, 456, 4447, -3916, 13495, 576, 4374, 0, 2786, 2000, -5977, -7252, 11684, 1536, 10728, 4918, -1692, 3072, 1275, 9194, -3850, -1160, 11235, 4396, 8047, 2612, 20388, -2076, 13861, 0, 0, -278, 3611, -988, -6267, -2384, -4090, -456, 7053, -6648, 19618, 4840, -2503, -1094, 28712, -240, -1116, 140, -6988, -96, 20936, -4134, 14709, 0, 13750, -4930, -8138, -3016, 21751, 9512, 12575, 64, -7083, -7712, 27569, 6212, -6520, 3138, 14650, -5368, 21920, -782, 12507, 3116, 15499, -12492, 0, 832, 12282, -4900, 8147, -1108, -15862, -628, -5801, -680, 30093, -5196, 4268, -4952, 10339, -3104, 8824, -2560, -8796, 280, 10764, 4956, 25743, 0, 11952, 1616, -10037, -23588, 28375, -2640, 32398, 11258, -1430, 3584, 14456, 12532, -4964, 2368, 18968, -3448, 42783, 2560, 12970, 480, 11801, 6660, 0, 1042, -226, 3840, 25292, -298, -1492, -2184, -15836, -9030, 25113, -912, 12004, -8894, 25307, 7832, 2603, -26990, 8219, -1152, 17265, -8748, 3008, 0, 467, -5572, -15761, -4000, -10845, 11954, 24412, 14504, 30791, -23368, -2784, -3072, -945, -21456, 2102, -9836, -6793, 3384, 11194, -6144, 3189, -2550, 0, -18388, -23148, 7700, 10104, 2320, 10230, -22470, 1977, -8792, -23951, -16094, -3542, -5224, 12352, -40776, 9291, 4152, -11122, -27722, 14241, 0, -8673, 0, 16820, 556, 8193, -7222, 77, 1976, -52529, 12534, 5320, 4768, 10500, 8180, 14222, 912, 3593, -14106, -14128, 13296, -48323, -39236, 17275, -9680, 0, 5006, 5463, 2188, 5250, -57424, -4139, 480, -16248, 2232, 714, -280, -28921, 13976, -42163, 192, 11442, -41872, -33278, 8268, -43857, -29418, 35071, 0, 2050, -27500, 9225, 9860, 2474, 16276, -17690, 6032, 9989, -43502, -1591, -19024, 23274, -25150, -16100, -128, 1816, 14166, 1468, 15424, -50479, -55138, 0, -12424, -5463, 13040, 34906, -6276, -4971, -29300, -33980, 10736, -22236, -43840, -70578, 1564, -43398, -25014, -20218, -6232, -3989, -30998, -62111, 24984, -58942, 0, -26857, -1664, 50063, -24564, -49245, 9800, 5016, -16294, 1375, 2216, -71984, 31724, 21146, 1256, -53159, 11602, -18157, 1360, 25194, -60186, -59621, 10392, 0, -8536, -22676, 9904, 32521, -20678, 2017, 6208, -58749, -17648, -28099, 5120, -29357, 17592, -25850, -560, -66580, -21528, 38302, -9912, -2195, -51486, -28844, 0, -29579, -23904, 10961, -3232, -41955, 20074, -25310, 47176, 45000, -56750, -45585, 5280, 1325, -64796, 15147, -22516, -64546, 2860, -24587, -7168, -10610, -28912, 0, -25064, 30557, 9928, 23059, -4736, 3953, -37936, 5872, 6896, 7507, -85566, 4154, -5120, -59393, -25940, 45076, -960, -60791, -23602, -7910, -13320, -20077, 0, -79043, -2084, 9413, 452, 8141, -7680, -28132, -50584, -42630, 596, 32207, 2984, 47956, 4368, -63198, 31672, 15645, 18060, -83027, -50226, -41953, 1824, 0, -24008, -50452, 17788, 20665, -50614, 32620, -15664, 46596, -5206, -61705, 53980, -14046, -16438, 11105, 2304, -60660, -34530, 36390, 17496, -87496, -6016, 1166, 0, 18750, -934, 54242, 11144, -44412, 31522, 26463, 8000, 50958, 21690, -10189, -23908, -51760, -48824, 20520, -29008, -72108, -61582, 36928, 46736, 16194, 5568, 0, 6144, -40380, 1890, 49886, 42912, 50564, -4204, -28145, 19672, -49559, 13586, 2108, -6768, -66566, -22388, 46939, 12288, 4840, -6378, 54675, 5100, -27799, 0, -23347, 36776, 59373, 46296, 43930, -15400, -37356, -20208, 44547, -4640, -71748, -20460, 23467, 44940, 47834, -3954, 34999, 17584, -39511, 47902, 100156, 32188, 0, 7084, 16224, 10448, -63513, -24704, 38038, 81552, -6353, -18582, 48658, -8304, 45961, 22244, -4852, 55444, 4683, -28482, 29139, 0, -73221, 17346, 128941, 0, 44527, -33640, -64906, -1112, -15043, -16386, -2357, 14444, -12579, -154, 109348, -3952, -32034, 105058, -62976, -25068, 30445, -10640, 70597, -9536, -75268, -21000, 0, -16360, 6272, -28444, 49880, -1824, -34849, -7186, 53775, 28212, -33486, 28256, -40735, -26592, 16047, 96646, -24471, 78472, -71987, -34550, 30360, 19360, -75126, 0, 6043, -10012, -104754, -10926, 50875, -4376, 32413, -10500, -24766, 114848, -102038, 8278, -56721, -960, -60420, 32496, 25044, -4464, 62553, -1428, 43482, 560, 0, 57842, -63411, -27952, -48197, 84326, -13533, -384, 17610, -22884, 143211, 83744, 94335, 66556, 122134, -16536, -66411, 87714, 26385, 58836, 60953, -70142, 75049, 0, 110571, -4100, -12372, 55000, -89361, -18450, 54645, -19720, 8852, -4948, 401, -32552, 41463, 35380, 73294, -12064, -19938, -19978, -52670, 87004, 39074, 3182, 0, 38048, 27392, -46548, -106292, 50300, -116941, 32200, 6256, 256, -28994, -3632, 37490, -28332, 45354, -2936, 73392, -30848, 28742, 100958, 27548, 110276, -49737, 0, 59448, 24848, -15070, 10926, 71365, -26080, -96422, -69812, -155617, 12552, 113267, 9942, -46764, 58600, -58725, 67960, 88020, -21472, -57524, 44472, 48855, 87680, 0, 141156, -78554, -3128, -76128, 86796, 124715, 50028, 100160, 40436, 46390, 12464, 52192, 7978, 58743, 61996, -124542, 124222, 88898, -49968, -7515, 117884, -49505, 0, 29055, 53714, -25192, 3328, -23529, -100126, 106862, 49128, 3493, 98490, 45826, -19600, -129195, -10032, 123376, 32588, -105502, -2750, 131244, -4432, -77929, 143968, 0, -63448, 93150, -42292, -135647, -2512, 33869, 106318, 113171, -23204, -69132, 36314, 110858, -2720, 12009, -50388, 151271, 120372, 28403, 119242, 175502, -20784, -56, 0, -32519, 17072, 10273, 45352, 85822, -19808, -73597, -65042, -29731, 41356, 26718, -4034, 136161, -12416, 62806, 117498, 30764, 35296, -88674, 56198, 90954, -10240, 0, 58714, 51621, -35184, -160619, 51700, -14951, 1120, -12256, 133160, 71178, 43056, 40829, -76604, 62946, 19824, 22560, 4390, -142656, 102972, 2319, 57688, 93954, 0, -86410, 59158, -187559, 47808, 59432, -21922, 129024, 6464, -117721, 83910, 85113, -40148, -41335, 50620, 36601, -94352, -3779, -90000, 516, 113500, -94569, 91170, 0, -10560, 262371, -2650, 69340, 129592, -2819, -30294, 190746, 45032, -42433, 129092, 20968, -5720, 41030, 49174, 61770, 14336, 160881, 21220, 187677, 57824, -125066, 0, -8636, 50128, 84297, -61114, -34671, -19856, 56501, -46118, -180481, 9472, -97518, -7906, -88081, 75872, -4175, -11744, 109660, -13792, 43870, -15014, 63987, 171132, 0, -8308, -90145, 10240, -142994, 118786, -123777, 51880, -139387, -90152, 53431, 1920, 111419, 121582, 120842, 47204, 26773, 15820, -64395, 26640, -29335, 40154, 25329, 0, 72577, 158086, 84457, 4168, -30698, -18826, 2844, -904, 86998, -16282, 138635, 15360, -19808, 56264, 165833, 101168, -93138, 85260, 74997, -1192, 90554, -64414, 0, -5968, 122143, -95912, -137148, -8736, -88777, 126396, 103586, -63344, 29850, -31290, 30282, -36120, -90261, 166054, 43254, 100452, 56167, 83906, 96175, -3648, -16623, 0, -258330, 48016, 36188, 100904, 179683, -35576, -137398, -41330, -103898, 101228, -8580, -65240, 20166, 31328, -13374, -93192, -11656, 10412, -231471, 123410, 54240, -107960, 0, 28092, 12525, 32876, 7365, -22210, -32021, -4608, -19925, 121320, -203991, 69060, 35216, -72780, -70007, -34992, -61500, 174992, 239889, 12032, -356828, -2332, 24966, 0, 820, -37500, -79542, 1868, -130460, -108484, 46343, -22288, 46217, 88824, -96973, -63044, -149032, -52926, -129432, -16000, -354148, -101916, 257629, -43380, -146050, 20378, 0, 47816, 147765, 103520, 97944, 97648, 8437, -41040, -78524, 58016, -62404, 144216, -65512, 123164, -160218, -73856, 118365, -93472, 52515, -32388, -54647, -11136, -297710, 0, -297175, -12288, 147456, 80760, -286564, -3780, -225754, -99772, 33293, -85824, -434464, -101128, 152151, 8408, -108654, 56290, 53953, -39344, -313507, 99118, -36673, -27172, 0, -4216, -159866, 13536, -164602, 133132, -94575, 44776, -35332, -93878, -24073, -24576, 116989, -9680, -163658, 12756, 26218, -109350, -36345, -10200, -185327, 55598, 22089, 0, 199755, 46694, -18669, -73552, -231090, -118746, -181420, -92592, 6884, -87860, 211164, 30800, 150758, 74712, -258612, 40416, 47559, -89094, -120793, 9280, -209976, 143496, 0, 40920, -139067, -46934, -80284, -89880, 256819, -95668, 124060, 7908, -259539, -69998, -130302, -35168, -64971, 79022, -73183, -95804, -31601, -200312, 87382, -64376, -73249, 0, 43564, -14168, 40041, -32448, -73907, -20896, -20139, 127026, -260396, 49408, 16402, -76076, 29177, -163104, -316815, 12706, -11080, 37164, -116367, -97316, 163751, 16608, 0, -91922, -98634, -44488, 59596, 9704, 170959, -110888, -34394, -9366, -165576, 56964, -65377, -58278, 209088, 0, -207791, 146442, -22205, -34692, -150614, -257882, -13871, 0, -33901, -89054, -50206, 67280, 6646, 129812, 142375, 2224, 261699, 30086, -186070, 32772, -3451, 4714, 148169, -28888, -154071, 25158, 228647, 308, -109241, -218696, 0, 7904, 77465, 64068, 66471, -210116, 22530, 125952, 57120, 50136, 62887, -60890, 147936, 21280, -33238, -141194, 315135, 19072, -246041, 150536, -65874, 42000, 93895, 0, 99453, 32720, -8615, -12544, 180186, 56888, -378613, -99760, -1703, 3648, -64640, 69698, 404149, 14372, 133182, -107550, -112902, -56424, -38815, 66972, -116450, -56512, 0, 81470, -173341, 53184, -25680, -32094, 55212, -193292, 60297, 48942, 140978, -156944, -299205, 143974, -428083, 69100, -36328, -60720, 335884, -38720, -208153, 150252, 246957, 0, 26198, -12086, 7607, 20024, -220001, 209508, 193054, 21852, 244677, -101750, -75518, 8752, -255608, -64826, 41654, 21000, -100349, 49532, 170451, -229696, -373862, 204076, 0, -16556, -122725, 113442, 621802, 1920, -159628, 120840, -101983, -64992, 17551, -50088, -171689, 8928, -22943, -125106, -246280, 2856, -167380, -86964, 368033, -1120, -511291, 0, -77996, -115684, 425283, 126822, -9140, 55904, 134249, 96394, 47712, -168652, -182607, 27066, 14258, 768, -230492, -35220, 111980, 45768, -120948, -286422, 171260, -167488, 0, -188670, -180946, -133112, -41019, -244268, 198450, 33072, -322359, 132822, 147345, -175428, -67475, -52770, 235450, -117672, -270684, -121906, -238526, 140284, -154151, -150098, 150253, 0, 198554, -221142, -307578, 8200, 141173, 24744, 197169, -110000, 245224, 178722, 228638, 36900, -207525, -109290, 315727, 39440, 205203, -17704, -528195, 9896, 328508, -802, 0, 65104, -354577, -82926, 288754, -70760, 275998, -146588, -29439, 24128, 58081, 39876, -262066, 39956, -267649, 105340, -332200, -174008, -131970, -78148, -54326, -6364, 26725, 0, 204108, -76096, 197989, -54784, 126171, 93096, -34098, 212584, -153730, -100600, 229492, 233882, -88762, -64400, -164959, -12512, 285252, -512, -73023, 57988, -54506, 7264, 0, -74980, -90028, 56664, 130014, -90708, -105328, 5872, -279037, -146784, -368567, 61696, 260060, -57484, 264789, -201916, -211661, -55096, -266093, -220552, -309178, 99474, 287425, 0, -290734, -118896, 5356, -49696, 74820, 30140, -270947, -21852, 13943, -142730, -1911, 52160, 130641, 192844, -78600, 139624, -619824, 311234, 384200, -25104, 170139, -226534, 0, -19884, 143345, 93528, -9331, -117200, -303179, 117450, 290362, -135920, 1154, -176040, -58960, 42944, -144659, 115048, 256614, -88944, 42516, -97710, 52401, -175360, 26421, 0, -141205, -282312, -234191, 157108, 170523, 6256, -150184, 152256, 353493, -173592, -91469, -249430, -348404, -100056, 77942, -200320, 190815, -80872, 441844, -92780, 88707, -24928, 0, -104384, 55856, -15956, 218414, -117486, 261411, -123992, 73858, 249084, 744233, -248444, 52431, -177796, 134576, 99936, -202585, 15030, 42637, -235768, -38046, 99010, 379105, 0, 177761, -58110, 208019, -107428, -305737, 50384, 219582, -6656, 54685, 47058, 8857, 200252, -286485, -213724, -190871, -98256, 456765, -6986, 101435, -196980, -646081, -91652, 0, 39200, -433596, 258390, 285973, 20064, 313734, -246752, -283696, -65176, -112701, 211004, 160451, 5500, -32971, -262488, 195340, 8864, -51207, 155858, 309023, -287936, -464262, 0, -181918, 126896, -59606, -186300, -343525, 84584, 503083, 271294, -20205, 5024, -208611, -67738, 511613, -212636, 208485, -226342, -33238, 46408, -284945, 138264, 139205, -72628, 0, -221716, -60590, 5440, 246722, -24018, 161148, 100776, 165764, -302542, 135941, -240744, -386267, -56806, 229768, -238484, -92885, -351004, 185569, 41568, 303523, 112, 30067, 0, 16143, 65038, 310671, -34144, 287530, -20546, 62674, -90704, 475198, -171644, 360873, 39616, 38504, 147194, 307349, 130084, -58089, 59462, 21918, -82712, 282097, -53436, 0, 8068, 400617, -272322, -100293, 24832, 128997, -125612, -39114, -234996, -298384, -61528, -125943, -70592, -404063, 177348, 112916, -112396, 67119, -181908, -464464, 20480, 144698, 0, 68230, -117428, 97356, -103242, 713111, 70368, -35845, 321238, -155911, -103400, -136172, 29902, -5811, -2240, 85092, 24512, 269207, -266320, 322100, -142356, -37118, -86112, 0, -81658, 295604, 153208, -192771, -125892, -212274, -39648, -191995, -45120, -120089, -8780, -4995, 285312, -514407, -205944, 41617, -4638, -289888, -115376, 199402, -187908, 363810, 0, 66361, 172820, -131920, -118316, -396397, 375118, 108597, -95616, -32415, -118864, -354077, 43844, 370451, -258048, 166398, -12928, -15882, 235442, -16547, -167820, -413034, -170226, 0, 80296, 326798, 82670, 55683, -101240, -502855, -73202, -72965, 188704, 192721, 7558, -117074, 180000, 126369, -1032, 470154, -227000, -151932, 189138, 300634, -182340, 242608, 0, 45545, 21120, -461702, -524742, 33467, 5300, 109680, -138680, 108552, -259184, 27283, 5638, 380418, 60588, -235086, -381492, 275152, -90064, -183778, 84866, 409996, -258184, 0, -41936, -86529, 11440, 88791, -82060, -489239, -98348, -419076, -123540, 561157, -28672, -219419, -321762, 368852, -42440, -14027, -375354, 158785, -115648, -62224, 250132, -563589, 0, 381389, 17272, -389835, -100256, 282302, -168594, -75405, 122228, -355524, 69342, 404861, 39712, -409537, -113002, -246335, 92236, -53901, 360962, 480006, -18944, 171780, 195036, 0, 15812, 293577, 176162, 67645, -151744, -83111, 8350, -203650, 23488, -61800, -219320, -39380, 27584, 233815, -87740, 183245, 30028, -48979, -127974, -87582, -342264, -186079, 0, 44907, 16616, 159141, 180290, 236100, -20480, -408960, 285988, -274487, -237572, 266317, 247554, 271724, -103760, 328123, 278774, 98254, 180304, 24740, -106862, -66325, -3840, 0, -222838, 216927, -243164, -217369, -241684, -351022, -94408, 41410, -53546, -224216, -31640, -65061, 128790, 438198, -53280, 275162, 58670, -56738, -80308, -51600, -50658, 319380, 0, 240679, -145154, 15805, -316172, -59597, -168914, -291460, -8336, 123095, 61396, 345669, 37652, 166944, -5688, 503239, 1808, -331263, -173996, -418172, 32564, 469662, -277270, 0, -30720, 374552, 39616, -293585, -112528, -327102, -331666, 189808, -202336, -52430, 186276, -71534, -170520, 60320, -149994, 373538, 2384, 310509, -181108, 49954, 128828, 285593, 0, -382758, 11936, 303201, -244286, 212180, 191824, 350505, 274296, 136073, 17472, -95076, 177554, -204896, -252792, -675840, -207172, 570204, 126688, 615, -59700, -37327, 62580, 0, -60564, -355585, 72240, 292996, 180522, -210429, -332108, 171133, -86508, 98592, -200904, 286070, -112334, 198218, -167812, -123372, -192350, 238004, 7296, 469772, 33246, -173951, 0, -78710, 516660, 72828, -96032, -622345, -72376, 496250, -201808, -159903, -359366, 126239, 71152, -24228, 274796, -133398, 82660, 371075, 207796, 666033, -202456, 88561, 17160, 0, 130480, 40928, -40332, -209970, -62656, -184459, 26748, -124507, 186384, 259540, 23312, 178474, -20824, 486376, 462942, 469996, -246820, -73398, -108480, 715405, 215920, 72282, 0, -149004, -56184, -191563, -25050, 220603, -65752, -484218, -14730, -307148, 44420, 572986, 64042, -435443, 9216, 439590, 39850, 300032, -242640, -745106, 407982, 105223, -138120, 0, -70432, 285686, 145560, -380401, 140014, 82036, 69984, -273779, 123000, -27345, -349984, -390772, -479778, 221443, -24064, -162089, 713656, 84423, 4664, 279871, -49932, 621507, 0, 268699, -1640, -447254, 75000, 643371, 159084, 753953, -3736, -405356, 260920, 268261, 216968, 124528, -92686, 362079, 44576, 31062, -92434, 91872, -177648, 144458, 193946, 0, 126088, 670497, 298064, 3519, 105852, -491942, 258864, -52781, 32000, 17504, 708296, 341397, 203832, 668061, -515258, 92884, 86760, -150759, 292100, -132324, -40756, 8748, 0, 137078, -95632, -534472, -295530, 646584, -207040, -126160, -195888, -33570, -195296, -176006, -16874, 375772, 82080, 637591, 157048, -477360, -116032, 660084, 124808, 208004, -288432, 0, 131024, 286820, -246328, -208373, 320436, -201180, 147712, 16018, -236730, 604576, 186944, 294611, -105030, -125180, 64776, 255224, 109294, 169661, 22272, 339347, 595420, 153272, 0, -156922, 594350, -243625, 24576, 850430, -294912, -351875, -161520, 534587, 573128, 363325, 7560, 57360, 451508, 628640, 199544, 254450, -66586, 572959, 171648, 20355, 868928, 0, 202256, 535288, -304302, -50719, -16816, -55210, 217308, 568241, -112580, 568431, -107906, -420900, 78688, -45816, 627014, -419374, -198236, 72107, 73346, 992348, 54344, 481168, 0, 94898, 8432, -312895, 319732, -361232, -27072, 568388, 329204, -246416, -266264, 747378, 189150, -632324, -89552, 211807, 70664, 6049, 187756, 152869, 48146, 601711, 49152, 0, -233978, -208, 19360, -110958, 327316, 76294, -25512, -74798, -52436, 180570, 218700, 820814, 72690, 446544, 20400, 358513, 370654, -855192, -111196, 139318, -44178, -547160, 0, 315283, -399510, 152626, -93388, 610700, 37338, 1118764, 147104, -427581, 462180, -47821, 237492, 262667, 362840, -40987, 185184, 828390, -13768, -174562, 175720, 873502, -422328, 0, -61600, -368713, -301516, 155527, -149424, 1009575, 517224, -181396, -80832, 16902, -95118, 244835, 178188, 529331, 241586, -234356, -18560, -183140, 419952, -260544, -286992, 662803, 0, 755831, -81840, 791721, 278134, -142720, 93868, 396627, 160568, 338739, 179760, 136929, -513638, -423141, 191336, 349470, -248120, 243046, -15816, 678449, 519078, 192062, 139996, 0, 260604, 564349, 70336, -221145, 129942, 294426, -158044, 241243, 146366, -67646, 191608, 197012, 63202, -789177, 400624, 533989, -174764, 207625, 128752, -227116, 146498, 388943, 0, -293115, -87128, 60072, 28336, -154733, -80082, -780457, 64896, -297047, 147814, 154364, 41792, -106207, 40278, -948181, -254052, -30018, 520792, 88482, -98816, -703081, -32804, 0, 152152, -367701, -58354, -597735, 326208, -623340, 633630, 116506, -25412, 129612, 22160, -193410, -74328, -612689, 232734, -402384, 194632, 220727, -327502, -57548, -33216, 206750, 0, -193283, 183844, -725088, 197268, 97120, 88976, 241613, -119192, -6649, -19408, -552792, -341918, -371711, 221776, -766676, 68788, -362470, 18732, 350014, 331152, -852958, -113928, 0, 130754, -718996, 116556, 478254, -418176, 253419, 0, 544060, 415582, -272418, -292884, 350812, 44410, 928827, 69384, -76109, 301228, 315669, 515764, 142285, 27742, -81560, 0, 172565, 67802, -275974, 178108, -278759, 100412, -23362, -134560, -431145, -13292, -1416639, -259624, -454534, -284750, 392991, -4448, 58624, -523398, -442218, -60172, 218660, 372140, 0, -65544, -477659, 6902, -595110, -9428, 59974, -296338, -494197, 57776, 732705, 308142, 687831, -50316, 38099, -457294, -75115, -616, -268533, 218482, -150070, 437392, -691642, 0, 39639, -15808, -23500, -154930, 205353, -128136, -481754, -132942, 759735, 420232, 767734, -45060, -168108, -251904, 480909, -114240, 638254, -100272, -619377, -125774, -1288025, 121780, 0, -295872, 262371, -42560, -259966, 66476, 529185, 282388, 1198864, -630270, -255624, -38144, 147926, 492082, -591660, -301072, -122147, 131748, 675020, -84000, 88886, -187790, -1066271, 0, -198863, -198906, 536588, -65440, -263393, 17230, -471473, 25088, 529864, -360372, 831375, -113776, 156904, 757226, -534880, 199520, -36139, 3406, -188334, -7296, 437640, 129280, 0, -139396, -89708, -808298, -246252, -28744, -359860, -266364, -133436, 215100, -904937, 225804, -979907, 112848, -252772, 77630, -970139, -133944, -524485, 232900, -207364, 113024, -772025, 0, 614753, -162940, -92535, 346682, -429305, -106368, 397868, 51360, -611992, 64188, -911609, -110424, -307170, 386584, 182559, -120594, -1754163, -97884, -357877, -281956, 1181937, 313888, 0, 598410, -557366, -287948, 112756, 856166, 460732, -138200, 742913, 72656, -221463, 121440, -268197, -671768, -660703, 77440, -343600, 416306, -83237, -300504, -254555, -493914, 641560, 0, -483555, -52396, 195630, 24172, 347632, -15214, -350967, -40048, 175648, 440002, -1137294, -419016, 560220, -386108, -185967, -43704, 647486, -489354, -1031892, 203500, -420445, 151036, 0, -17504, -642539, 511216, 925093, 129652, 186523, -83308, 93759, -42000, -469435, 200698, 631629, -99064, -532958, -340902, -394051, 459392, 1085426, 747724, -854490, -408152, 192009, 0, 422775, 33112, 341732, 245450, -2363423, -226884, -294206, -1243604, -298246, -3840, 246501, 319256, 742117, -241680, -1055323, 203966, -768652, 129984, -27551, -35102, -872927, 100176, 0, 343378, -369326, -17856, 292855, 45886, -245520, 250212, -1038898, 492560, 92168, -5712, -719458, 334760, 509168, 173928, -168831, -736066, 169946, 2240, -232095, 1022582, -1841824, 0, -936228, 155992, 180003, 231368, -869740, -850566, -351077, -253644, 232666, 18280, -541290, -111808, 178085, -268498, -316538, -192788, -243899, -95424, -242398, 337304, -171049, 365214, 0, -54132, -535357, -28516, 108407, -1536, 271692, 460984, 580024, 70440, -318115, -223960, -34425, -91536, 385119, 241896, -880684, 572844, 124215, -342520, -1492272, 334976, 843648, 0, 83744, 377340, 313245, 361892, 468635, 266224, -209950, 82038, 588588, 488536, -512581, -396900, -156963, -66144, 455521, 644718, -798145, -265644, 679584, -294690, 406633, 350856, 0, 134950, 472979, 105540, -38701, -470900, 681934, 235344, 251103, 541368, -1433070, 243812, -114260, 477052, -951019, -280568, 985899, 308302, -317641, 300196, -686957, -300506, -284669, 0, -642766, -397108, 505322, 442284, 214069, 615156, -679774, -16400, -56632, -282346, -238457, -49488, -89335, -394338, -12359, 220000, -1934842, -490448, -146927, -357444, -1538679, -457276, 0, -73800, -812299, 415050, 254541, 218580, 992690, -631454, -804264, -78880, -79747, -410406, -320719, 35408, -786803, 1056390, 195198, -19792, -541378, -657016, -246148, 1604, -66505, 0, -809718, -130208, -71775, 709154, -1358309, 165852, 493258, -577508, 720168, 141520], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0], [-8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, -1, 2, -2, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, -1, 0, -1, 0, -1, 2, -1, 1, 0, -1, -1, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 1, -1, 1, -1, -1, -2, 0, 3, -1, 2, -2, -1, -2, 0], [-10, 0, -2, 0, -2, -2, 2, 0, 0, 0, 0, 0, -2, 0, 0], [16, 1, -2, 3, -1, 1, -1, -1, 0, 1, 0, -2, 1, -2, 0], [16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 1, 1, 4, -4, -1, -1, 4, -2, 0, 1, 0, -2, 3, 0], [-14, 0, 2, -4, 4, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0], [12, 0, 2, 5, 1, 1, -4, 0, 3, -1, 0, -2, -2, -3, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [2, -1, -10, -4, 2, -5, 1, -1, 3, 5, 1, 1, 1, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, -4, 2, -2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [45, 0, 3, -1, -1, 8, -3, -2, 2, -3, 0, -1, 4, -3, 0], [-8, -2, 2, -2, 2, 2, 4, 0, -6, 2, -4, 4, 2, 4, 0], [2, 1, 1, -4, 8, 0, -4, 2, 0, -3, -1, 4, 4, -1, 1], [20, 0, 4, 0, 4, 4, -4, 0, 0, 0, 0, 0, 4, 0, 0], [-15, 1, 6, -1, 3, 4, 0, 4, 2, -3, 3, 3, 0, 0, 0], [-32, -2, 4, -6, 2, -2, 2, 2, 0, -2, 0, 4, -2, 4, 0], [-24, -5, 8, -1, 11, 7, 1, 3, -4, 9, -5, -1, 9, 6, -5], [-32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, -2, 17, 7, 0, 2, -1, 3, -9, 1, -2, 7, 2, 5, 0], [8, -2, -2, -8, 8, 2, 2, -8, 4, 0, -2, 0, 4, -6, 0], [36, -3, -3, -7, -3, -8, -8, 11, 4, -7, 11, -8, -6, -1, 7], [28, 0, -4, 8, -8, 0, -4, 4, 0, 4, 0, 0, 0, 0, 0], [55, 0, -11, 7, 3, 11, 3, 5, -7, -2, -3, 2, 3, 0, 0], [-24, 0, -4, -10, -2, -2, 8, 0, -6, 2, 0, 4, 4, 6, 0], [33, 3, 10, -1, 24, -1, 3, 12, -14, 6, -7, 17, 5, 6, 0], [0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0], [-13, 2, 6, 3, 0, -5, 0, 7, 10, 3, -1, -12, 2, -5, 0], [-4, 2, 20, 8, -4, 10, -2, 2, -6, -10, -2, -2, -2, 0, 0], [88, -2, -7, 1, -7, -2, 4, -1, 10, 6, 2, -15, -8, 0, 0], [-4, 0, -4, -4, 0, -4, 0, -4, 8, -4, 4, 0, -4, -4, 0], [-15, 3, -12, -21, 50, -1, 1, -13, -5, 0, -7, 6, 4, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-51, 6, -25, 3, -38, -4, 8, 16, 5, 5, -7, 4, -3, 4, -11], [0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [111, -5, -3, 9, 0, 16, -13, 8, -9, -1, -9, -10, 0, -6, 0], [-90, 0, -6, 2, 2, -16, 6, 4, -4, 6, 0, 2, -8, 6, 0], [47, 14, 1, 4, 10, -4, 2, 1, 4, -11, 3, 9, -4, 4, 1], [16, 4, -4, 4, -4, -4, -8, 0, 12, -4, 8, -8, -4, -8, 0], [-19, -12, 19, -13, 48, -10, 7, -4, 6, 3, -1, -15, 5, -11, -3], [-4, -2, -2, 8, -16, 0, 8, -4, 0, 6, 2, -8, -8, 2, -2], [-68, 2, 4, 20, -1, 27, 0, 4, -5, -7, 0, 6, 1, 1, 17], [-40, 0, -8, 0, -8, -8, 8, 0, 0, 0, 0, 0, -8, 0, 0], [74, -4, -5, -4, 27, -20, 6, 13, 3, 10, -14, 17, -3, 11, -8], [30, -2, -12, 2, -6, -8, 0, -8, -4, 6, -6, -6, 0, 0, 0], [-52, 2, -3, -14, -14, -21, 20, 4, -9, 0, 18, -5, -4, 9, -8], [64, 4, -8, 12, -4, 4, -4, -4, 0, 4, 0, -8, 4, -8, 0], [24, 5, 30, -23, 34, -19, -6, -3, 5, -17, 19, -11, -11, 0, -6], [48, 10, -16, 2, -22, -14, -2, -6, 8, -18, 10, 2, -18, -12, 10], [118, -8, 23, 24, 64, 17, -9, 7, -29, -4, 4, 5, 2, -18, 13], [64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-33, 4, 1, -4, 78, 26, -5, -9, -1, -5, 0, -3, 4, 9, 25], [-14, 4, -34, -14, 0, -4, 2, -6, 18, -2, 4, -14, -4, -10, 0], [121, -6, -21, -7, 30, 4, 7, 0, 13, 7, 20, 6, 10, 11, -15], [-16, 4, 4, 16, -16, -4, -4, 16, -8, 0, 4, 0, -8, 12, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-72, 6, 6, 14, 6, 16, 16, -22, -8, 14, -22, 16, 12, 2, -14], [261, -17, 18, 33, -42, 6, 11, 24, -29, 0, -10, 17, -21, 11, -1], [-56, 0, 8, -16, 16, 0, 8, -8, 0, -8, 0, 0, 0, 0, 0], [-170, -5, 47, -9, 34, -29, -8, -20, 7, -13, 9, 2, 1, -13, 6], [-110, 0, 22, -14, -6, -22, -6, -10, 14, 4, 6, -4, -6, 0, 0], [-319, -10, -36, -35, 9, -27, 24, -8, -1, 26, -7, 1, 2, 8, -8], [48, 0, 8, 20, 4, 4, -16, 0, 12, -4, 0, -8, -8, -12, 0], [-152, 7, -12, -13, 27, 6, 11, -6, 24, -18, -1, 19, -23, -20, -5], [-66, -6, -20, 2, -48, 2, -6, -24, 28, -12, 14, -34, -10, -12, 0], [79, 3, -14, 15, 57, -2, -13, 5, 32, -5, -8, -28, 15, -11, -5], [0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0], [16, 6, -14, 0, 24, 5, -8, -33, 5, -25, 11, -5, 19, -9, 18], [26, -4, -12, -6, 0, 10, 0, -14, -20, -6, 2, 24, -4, 10, 0], [68, 5, -25, -8, 30, 31, -9, -17, -6, 10, -14, 5, 0, 7, -9], [8, -4, -40, -16, 8, -20, 4, -4, 12, 20, 4, 4, 4, 0, 0], [189, 26, 27, -38, 24, -16, -14, -45, 20, -1, -16, -5, 11, 7, -9], [-176, 4, 14, -2, 14, 4, -8, 2, -20, -12, -4, 30, 16, 0, 0], [31, 7, -10, -5, -84, -46, 9, -10, 19, 22, 16, -8, -4, 21, -9], [8, 0, 8, 8, 0, 8, 0, 8, -16, 8, -8, 0, 8, 8, 0], [1, -12, 13, 43, 101, 60, 9, -21, -47, -8, -34, 22, 32, 16, -18], [30, -6, 24, 42, -100, 2, -2, 26, 10, 0, 14, -12, -8, 0, -2], [127, 3, 6, 2, 45, 23, 6, 17, -26, -18, 1, 48, -25, -41, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [174, -28, -57, -37, -59, -11, 17, -24, 45, 45, 8, -31, -18, -34, -11], [102, -12, 50, -6, 76, 8, -16, -32, -10, -10, 14, -8, 6, -8, 22], [-307, 15, -48, -16, 62, 13, -16, -13, 10, -28, -5, -17, -21, 12, 33], [0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [258, 15, -13, -17, 7, -11, 20, 4, 20, 24, -27, -13, -2, -31, 15], [-222, 10, 6, -18, 0, -32, 26, -16, 18, 2, 18, 20, 0, 12, 0], [-103, 3, -44, -13, -42, -45, 0, -1, 39, 10, 7, -15, -6, 43, -3], [180, 0, 12, -4, -4, 32, -12, -8, 8, -12, 0, -4, 16, -12, 0]]}