# Trace form for 114.6.a.c, downloaded from the LMFDB on 13 June 2024.
[0, 1, 4, -9, 16, 21, -36, -143, 64, 81, 84, -205, -144, -78, -572, -189, 256, -2125, 324, 361, 336, 1287, -820, 20, -576, -2684, -312, -729, -2288, -4866, -756, -1098, 1024, 1845, -8500, -3003, 1296, -15128, 1444, 702, 1344, -9400, 5148, 20073, -3280, 1701, 80, 14105, -2304, 3642, -10736, 19125, -1248, 26386, -2916, -4305, -9152, -3249, -19464, -13216, -3024, -2293, -4392, -11583, 4096, -1638, 7380, 35976, -34000, -180, -12012, 10180, 5184, 33109, -60512, 24156, 5776, 29315, 2808, -53888, 5376, 6561, -37600, 75196, 20592, -44625, 80292, 43794, -13120, 20618, 6804, 11154, 320, 9882, 56420, 7581, -9216, -84130, 14568, -16605, -42944, 163714, 76500, -139062, -4992, 27027, 105544, 124690, -11664, -11836, -17220, 136152, -36608, 57674, -12996, 420, -77856, -6318, -52864, 303875, -12096, -119026, -9172, 84600, -17568, -121989, -46332, 134314, 16384, -180657, -6552, -365955, 29520, -51623, 143904, -15309, -136000, 44763, -720, -422179, -48048, -126945, 40720, 15990, 20736, -102186, 132436, -32778, -242048, -41741, 96624, -41240, 23104, -172125, 117260, -23058, 11232, -345954, -215552, -237474, 21504, -2860, 26244, -298144, -150400, 38745, 300784, -73290, 82368, -365209, -178500, 29241, 321168, 282102, 175176, 383812, -52480, 118944, 82472, 193946, 27216, -283446, 44616, 20637, 1280, -317688, 39528, 435625, 225680, 104247, 30324, 50495, -36864, 231092, -336520, 14742, 58272, -452482, -66420, -207199, -171776, -323784, 654856, 695838, 306000, -197400, -556248, 1620, -19968, -74005, 108108, 985948, 422176, -91620, 498760, 421533, -46656, 157014, -47344, -297981, -68880, 165750, 544608, 177756, -146432, -217404, 230696, 276382, -51984, 986125, 1680, -263835, -311424, -116691, -25272, 296205, -211456, 484992, 1215500, -1258701, -48384, -143492, -476104, -59049, -36688, 76482, 338400, -28158, -70272, -676764, -487956, -884163, -185328, -4100, 537256, 401625, 65536, 1042296, -722628, 2163304, -26208, -394146, -1463820, 998121, 118080, 554106, -206492, -185562, 575616, 1735498, -61236, -1016740, -544000, -100386, 179052, 550220, -2880, -1378703, -1688716, -88938, -192192, -2097886, -507780, -215963, 162880, -68229, 63960, 1344200, 82944, 3095768, -408744, 757170, 529744, -2478716, -131112, -277536, -968192, 149445, -166964, -1560, 386496, -2870439, -164960, -1473426, 92416, -48153, -688500, 495420, 469040, 1251558, -92232, 2159645, 44928, -1347570, -1383816, -243243, -862208, -1011660, -949896, 997530, 86016, -1122210, -11440, -767125, 104976, 209352, -1192576, 106524, -601600, -2017015, 154980, -1570620, 1203136, -1225368, -293160, 755496, 329472, 2162282, -1460836, -519066, -714000, 225090, 116964, 1882595, 1284672, -3780, 1128408, 4168733, 700704, 722845, 1535248, 56862, -209920, 1451022, 475776, 213780, 329888, -2734875, 775784, 517179, 108864, 130321, -1133784, 1071234, 178464, 695289, 82548, -3593920, 5120, -761400, -1270752, -3773198, 158112, -1775776, 1742500, 1097901, 902720, 379548, 416988, 2484638, 121296, -1208826, 201980, 1709866, -147456, 615615, 924368, 1625913, -1346080, -244715, 58968, -42500, 233088, 3293595, -1809928, -1131648, -265680, -4111947, -828796, 464607, -687104, -1879548, -1295136, 85644, 2619424, 137781, 2783352, 3101240, 1224000, -2682582, -789600, -402867, -2224992, 1889888, 6480, 1579116, -79872, 3799611, -296020, -5705988, 432432, -4245782, 3943792, 1142505, 1688704, 5703500, -366480, 327899, 1995040, -143910, 1686132, -1283414, -186624, -6391818, 628056, 919674, -189376, 7220, -1191924, 1274638, -275520, 295002, 663000, 2355465, 2178432, 432978, 711024, 375669, -585728, 7994124, -869616, 1927000, 922784, 371160, 1105528, 234234, -207936, -3038437, 3944500, 1549125, 6720, -5987445, -1055340, 8053851, -1245696, 207522, -466764, -8293319, -101088, -5144568, 1184820, 3113586, -845824, -4114965, 1939968, -968924, 4862000, 2137266, -5034804, -4584720, -193536, 1179984, -573968, 25740, -1904416, -1766730, -236196, 55304, -146752, 2683296, 305928, -6889320, 1353600, 10340250, -112632, -348705, -281088, -1455740, -2707056, 5616755, -1951824, 659610, -3536652, -5161312, -741312, 3437994, -16400, 3286881, 2149024, -1818386, 1606500, -4734587, 262144, -263169, 4169184, -2920302, -2890512, -2891525, 8653216, -2538918, -104832, 11095652, -1576584, -7512974, -5855280, -3454308, 3992484, 2333250, 472320, -6435943, 2216424, -1070496, -825968, 733200, -742248, 2618490, 2302464, -1745514, 6941992, -746610, -244944, 3156215, -4066960, 2551014, -2176000, -248556, -401544, -11706334, 716208, -185733, 2200880, -1756626, -11520, 7705984, -5514812, 2859192, -6754864, 5561111, -355752, -1565694, -768768, -3920625, -8391544, -11766924, -2031120, 1211154, -863852, -938223, 651520, 6496494, -272916, -7154320, 255840, -454455, 5376800, -53680, 331776, -8507813, 12383072, -2079828, -1634976, -10753028, 3028680, -5409130, 2118976, -132678, -9914864, -854707, -524448, -396378, -1110144, 4072338, -3872768, -5552134, 597780, 6381375, -667856, 1864791, -6240, -1306688, 1545984, -7948584, -11481756, 2914056, -659840, -2499546, -5893704, 2837462, 369664, -6262542, -192612, -1100190, -2754000, 14967389, 1981680, 1776600, 1876160, -3597513, 5006232, 6747580, -368928, -14580, 8638580, -2948374, 179712, 5825731, -5390280, 666045, -5535264, 32147000, -972972, 13604357, -3448832, -8873532, -4046640, 2820594, -3799584, -284076, 3990120, 824580, 344064, 19122146, -4488840, 8387377, -45760, -3793797, -3068500, 7902207, 419904, 2709280, 837408, -1413126, -4770304, -279213, 426096, -7685055, -2406400, 2681829, -8068060, -6826714, 619920, 18505852, -6282480, -1491750, 4812544, -1084083, -4901472, -97320, -1172640, -1599804, 3021984, 470065, 1317888, 12505904, 8649128, 1956636, -5843344, 5470290, -2076264, 12030590, -2856000, -2487438, 900360, 10241478, 467856, 940023, 7530380, -8875125, 5138688, -2058108, -15120, 1849447, 4513632, 2374515, 16674932, -8865759, 2802816, 19975000, 2891380, 1050219, 6140992, 16581290, 227448, -5461208, -839680, -2665845, 5804088, -23411102, 1903104, 11050070, 855120, -4364928, 1319552, -21960, -10939500, 335790, 3103136, 11328309, 2068716, 10225487, 435456, 19885866, 521284, 1291428, -4535136, 13060344, 4284936, 26198531, 713856, 531441, 2781156, -42655125, 330192, -25602878, -14375680, -688338, 20480, -7375080, -3045600, -21084731, -5083008, 253422, -15092792, 8718072, 632448, -876561, -7103104, 6090876, 6970000, -17830670, 4391604, -12650072, 3610880, 7957467, 1518192, -866040, 1667952, -5696533, 9938552, 36900, 485184, -25165829, -4835304, 1692548, 807920, -3614625, 6839464, 1030848, -589824, -23567349, 2462460, -9380664, 3697472, 16107132, 6503652, 2947032, -5384320, -19469736, -978860, -3393400, 235872, -2086900, -170000, 3547314, 932352, -7265034, 13174380, -8096216, -7239712, -8983089, -4526592, -8247382, -1062720, 178854, -16447788, -4986954, -3315184, 22372852, 1858428, -29973125, -2748416, 1670058, -7518192, -6787345, -5180544, -60060, 342576, -15619482, 10477696, 915669, 551124, -30049586, 11133408, 9150660, 12404960, -6261024, 4896000, 7246353, -10730328, 903474, -3158400, 3259587, -1611468, 26351353, -8899968, -4951980, 7559552, 3888948, 25920, -24990892, 6316464, 12408327, -319488, -7739250, 15198444, -1539090, -1184080, 800442, -22823952, -2777334, 1729728, 3166807, -16983128, 18880974, 15775168, -7669389, 4570020, 17020718, 6754816, 1943667, 22814000, -302560, -1465920, 1633794, 1311596, 614061, 7980160, 24503712, -575640, 14557621, 6744528, -12097800, -5133656, 17670580, -746496, 5924142, -25567272, -27861912, 2512224, 11047040, 3678696, -2806128, -757504, -6814530, 28880, 17444427, -4767696, -44646382, 5098552, 22308444, -1102080, -19731585, 1180008, -21268611, 2652000, 2497824, 9421860, -34062348, 8713728, -19206902, 1731912, -1345005, 2844096, 5091905, 1502676, 4072866, -2342912, 14040, 31976496, 5342868, -3478464, -56070250, 7708000, 25833951, 3691136, -5952366, 1484640, -15988046, 4422112, 13260834, 936936, 27004470, -831744, -15415180, -12153748, 433377, 15778000, 52331565, 6196500, -6718400, 26880, -4458780, -23949780, -794040, -4221360, 40603552, 32215404, -11264022, -4982784, -12992946, 830088, 1314762, -1867056, -19436805, -33173276, 9148125, -404352, 2878301, -20578272, 12128130, 4739280, -11118934, 12454344, -188000, -3383296, 2189187, -16459860, -15996748, 7759872, -2582502, -3875696, 9104940, 19448000, 38024400, 8549064, 1060395, -20139216, -8977770, -18338880, -6401109, -774144, -27423547, 4719936, 10099890, -2295872, 4852932, 102960, 2609496, -7617664, 6904125, -7066920, 14061828, -944784, 60371597, 221216, -1884168, -587008, 46634598, 10733184, -4226690, 1223712, -958716, -27557280, -2969796, 5414400, -9502122, 41361000, 18153135, -450528, 401460, -1394820, 38868952, -1124352, 14135580, -5822960, -4351179, -10828224, -49211491, 22467020, 11028312, -7807296, -2286570, 2638440, 28084000, -14146608, -6799464, -20645248, 9525346, -2965248, 15036652, 13751976, -19460538, -65600, 57048987, 13147524, 14612598, 8596096, 4671594, -7273544, 22407396, 6426000, -58959026, -18938348, -2025810, 1048576, 25229600, -1052676, 4203264, 16676736, -16943355, -11681208, -34469808, -11562048, 22362214, -11566100, 34020, 34612864, 4872625, -10155672, 19585762, -419328, -37518597, 44382608, 5968963, -6306336, -1554105, -30051896, -6505605, -23421120, -54427959, -13817232, -56430804, 15969936, -511758, 9333000, 20704908, 1889280, 5897320, -25743772, -13059198, 8865696, -40107629, -4281984, 69237492, -3303872, -1924020, 2932800, 17246650, -2968992, -4435625, 10473960, 24613875, 9209856, 73612848, -6982056, -53875932, 27767968, -4654611, -2986440, -5865288, -979776, 282100, 12624860, -1172889, -16267840, 3297294, 10204056, -35057921, -8704000, -9641106, -994224, 993830, -1606176, -43978454, -46825336, -6257601, 2864832, 23370160, -742932, 49471422, 8803520, 32345280, -7026504, 44855611, -46080, 3480750, 30823936, 6852600, -22059248, -65789445, 11436768, -33561370, -27019456, 33958782, 22244444, 3732876, -1423008, 47479658, -6262776, 15981984, -3075072, -4770976, -15682500, 35591620, -33566176, -9881109, -47067696, 72840, -8124480, -21235130, 4844616, -3415932, -3455408, 28507710, -3752892, 5804022, 2606080, -22361742, 25985976, -76449000, -1091664, 42634592, -28617280, 10879434, 1023360, 20708625, -1817820, 16610544, 21507200, -15388794, -214720, -22763144, 1327104, -57915774, -34031252, -5540535, 49532288, -1608204, -8319312, -827773, -6539904, -14633217, -43012112, -73884021, 12114720, -2450511, -21636520, 2202435, 8475904, 10480470, -530712, 36769738, -39659456, 382500, -3418828, -37857820, -2097792, -25561450, -1585512, -29642355, -4440576, 43995576, 16289352, 52224887, -15491072, 10184832, -22208536, 31078284, 2391120, 45740400, 25525500, 37007523, -2671424, -38522586, 7459164, -26432721, -24960, -4181463, -5226752, 2426380, 6183936, -54283403, -31794336, 16915932, -45927024, -3013332, 11656224, -21632500, -2639360, -770796, -9998184, -40340586, -23574816, -12334814, 11349848, -1240029, 1478656, 45934642, -25050168, 527720, -770448, -27911160, -4400760, 22263537, -11016000, -9775128, 59869556, 24143238, 7926720, -26237400, 7106400, 86963920, 7504640, 3625803, -14390052, -591318, 20024928, 74529936, 26990320, -17008992, -1475712, -70356625, -58320, -11823170, 34554320, -14212044, -11793496, -97675218, 718848, -24155786, 23302924, -34196499, -21561120, -27734278, 2664180, -18567423, -22141056, 51353892, 128588000, -19696620, -3891888, 6562140, 54417428, 38212038, -13795328, -86100, -35494128, 40532778, -16186560, -10282545, 11282376, 10321200, -15198336, 12987336, -1136304, -51331500, 15960480, -913725, 3298320, 107583335, 1376256, -2951091, 76488584, -94261896, -17955360, 21888216, 33549508, 1295190, -183040, -103156209, -15175188, -50109994, -12274000, 11550726, 31608828, 45429384, 1679616, -14718178, 10837120, 57526362, 3349632, -48736562, -5652504, 91612425, -19081216, -8277066, -1116852, -61183652, 1704384, -62294375, -30740220, -64980, -9625600, -12769692, 10727316, 20960541, -32272240, -11471742, -27306856, 62080298, 2479680, -43637184, 74023408, -2655018, -25129920, -70820024, -5967000, 104268368, 19250176, -21199185, -4336332, 57415785, -19605888, -22040154, -389280, -3896802, -4690560, -7220785, -6399216, 10846836, 12087936, -3381021, 1880260, 114512000, 5271552, 36445458, 50023616, -71947116, 34596512, 3674980, 7826544, -33046156, -23373376, -17343000, 21881160, -21351540, -8305056, -264320, 48122360, -3340440, -11424000, -85488528, -9949752, -68634930, 3601440, -2108106, 40965912, 42683270, 1871424, 159512427, 3760092, 27345933, 30121520, -35498615, -35500500, 25007745, 20554752, -13942125, -8232432, 64704926, -60480, 29804696, 7397788, 53887005, 18054528, -28952763, 9498060, 11952349, 66699728, -72484659, -35463036, -9725820, 11211264, 29629457, 79900000, -1867698, 11565520, -27534370, 4200876, 131986456, 24563968, 74639871, 66325160, -45860, 909792, -44055606, -21844832, 46301112, -3358720, 50219330, -10663380, -159791500, 23216352, -28022274, -93644408, -4535223, 7612416, 923208, 44200280, 37034685, 3420480, -17721972, -17459712, -64561909, 5278208, 8720316, -87840, 16331248, -43758000, 126931391, 1343160, -19235394, 12412544, -91178100, 45313236, 28228200, 8274864, 41262480, 40901948, -7453076, 1741824, 75020775, 79543464, -10619856, 2085136, 65011128, 5165712, -63673752, -18140544, -231660, 52241376, 110621919, 17139744, -7827373, 104794124, 15900570, 2855424, -15487290, 2125764, 53839954, 11124624, -497736, -170620500, 10582715, 1320768, -52053036, -102411512, -24149664, -57502720, -4498572, -2753352, -122431342, 81920, 62003880, -29500320, 35471744, -12182400, -140990564, -84338924, -93062250, -20332032, -76548900, 1013688, -111183513, -60371168, 3138345, 34872288, -107661205, 2529792, 43939301, -3506244, 13101660, -28412416, 128281029, 24363504, -32760, 27880000, -50550795, -71322680, 49309508, 17566416, -19453568, -50600288, -5936490, 14443520, -60279219, 31829868, -9176415, 6072768, 46451808, -3464160, 6810692, 6671808, -43813250, -22786132, -30941946, 39754208, 142203200, 147600, -3998916, 1940736, -29581929, -100663316, -5812714, -19341216, 6154412, 6770192, 16365474, 3231680, 86546695, -14458500, 74554483, 27357856, 42611283, 4123392, 10403820, -2359296, -128394276, -94269396, 2368521, 9849840, 719520, -37522656, -145500860, 14789888, 26282718, 64428528, -23702250, 26014608, -78336360, 11788128, 26023725, -21537280, -44221378, -77878944, 45352545, -3915440, 22850262, -13573600, -96375179, 943488, -25419108, -8347600, -99860868, -680000, -28298970, 14189256, 81040403, 3729408, 67616766, -29060136, -33799428, 52697520, 9284028, -32384864, 31088772, -28958848, 27145756, -35932356, 69946136, -18106368, -20999250, -32989528, 111104373, -4250880, -21244860, 715416, 57923487, -65791152, -39522626, -19947816, -303664344, -13260736, 9634464, 89491408, 20948130, 7433712, -28717718, -119892500, -6598800, -10993664, -65477079, 6680232, -141015875, -30072768, -23566410, -27149380, 82965612, -20722176, 102455632, -240240, 15709626, 1370304, -142524731, -62477928, -16109625, 41910784, 6719490, 3662676, -151606620, 2204496, 95890761, -120198344, -28405935, 44533632, 9515142, 36602640, 51250094, 49619840, -22959126, -25044096, 16686813, 19584000, 203600, 28985412, 2237004, -42921312, 162553092, 3613896, 8556905, -12633600, 105357006, 13038348, -28971828, -6445872, -42357315, 105405412, 1671597, -35599872, 178776250, -19807920, -10476492, 30238208, 15809634, 15555792, -32983020, 103680, 178917650, -99963568, -69353856, 25265856, 8454200, 49633308, 57166624, -1277952, -25732728, -30957000, 111004392, 60793776, 133200099, -6156360, -50049999, -4736320, 179994243, 3201768, -96559584, -91295808, 14091246, -11109336, 662180, 6918912, -27496201, 12667228, 35285625, -67932512, 45407922, 75523896, 20519356, 63100672, 105902316, -30677556, 7443098, 18280080, 30209734, 68082872, -10900386, 27019264, -196033411, 7774668, -119532802, 91256000, 8444007, -1210240, 28544490, -5863680, 4726890, 6535176, -58468446, 5246384, -217955810, 2456244, 64309056, 31920640, 64388880, 98014848, 39534495, -2302560, -347892250, 58230484, 4090095, 26978112, 173297973, -48391200, -36535536, -20534624, 483120, 70682320, 70920570, -2985984, 4026594, 23696568, 76570317, -102269088, 62107809, -111447648, 87543393, 10048896, 18718452, 44188160, -213380440, 14714784, 157135538, -11224512, 96777252, -3030016, 15179745, -27258120, 39392688, 115520, 48682170, 69777708, 295506750, -19070784, 135844765, -178585528, 1194102, 20394208, 126435309, 89233776, 246833281, -4408320, 7692363, -78926340, -188686200, 4720032, 30471462, -85074444, 3567402, 10608000, 11157738, 9991296, 586300, 37687440, -36651042, -136249392, -27323120, 34854912, -92093896, -76827608, 49969206, 6927648, -3491514, -5380020, -76131160, 11376384, -57432375, 20367620, 147297491, 6010704, 128999930, 16291464, -16783119, -9371648, 61119520, 56160, 10860759, 127905984, 11760192, 21371472, -149048328, -13913856, 83890460, -224281000, 71537256, 30832000, 2736741, 103335804, 32929962, 14764544, -26226504, -23809464, 165801047, 5938560, -55096176, -63952184, 22495914, 17688448, -1077760, 53043336, -264966250, 3747744, -25537158, 108017880, -31130508, -3326976, -88864556, -61660720, 56362878, -48614992, 14511168, 1733508, -228745600, 63112000, 9901710, 209326260, -75472320, 24786000, 15024450, -26873600, -134706501, 107520, -142731303, -17835120, -30370930, -95799120, -15989400, -3176160, 143330157, -16885440, 255916886, 162414208, 32377617, 128861616, 25151500, -45056088, -79237158, -19931136, -60728220, -51971784, 74867845, 3320352, 83994876, 5259048, 131220, -7468224, -37291296, -77747220, 92065261, -132693104, 26535366, 36592500, -65574369, -1617408, 25391243, 11513204, -52431579, -82313088, 235436566, 48512520, 73731277, 18957120, -5994405, -44475736, -248176214, 49817376, 7970508, -752000, -289323000, -13533184, 175504126, 8756748, 2517714, -65839440, -122439213, -63986992, 52177398, 31039488, 145393820, -10330008, 79861788, -15502784, -115805478, 36419760, -57830910, 77792000, -25385346, 152097600, -235089125, 34196256, 1503920, 4241580, 2556684, -80556864, -102458462, -35911080, 35907186, -73355520, -7421220, -25604436, 59100754, -3096576, -122557250, -109694188, -172099314, 18879744, -78681460, 40399560, -132587000, -9183488, -75486393, 19411728, 233554548, 411840, -250677776, 10437984, 34144173, -30470656, 3255798, 27616500, 197154529, -28267680, -71119863, 56247312, -175059216, -3779136, -5139015, 241486388, -24383520, 884864, -47901570, -7536672, -202185284, -2348032, 12718134, 186538392, -892500, 42932736, -50201382, -16906760, 2512917, 4894848, -399167408, -3834864, 3216720, -110229120, 69165495, -11879184, 299997698, 21657600, -39758930, -38008488, -24136461, 165444000, -80664875, 72612540, 144635392, -1802112, 61440426, 1605840, -14321266, -5579280, 30882709, 155475808, -166552668, -4497408, -86350887, 56542320, -191791465, -23291840, 13425750, -17404716, 58106430, -43312896, 168964417, -196845964, 9756747, 89868080, 37067062, 44113248, -4971759, -31229184, 875880, -9146280, -221968186, 10553760, -39470508, 112336000, 14398236, -56586432, -34234800, -27197856, -15388769, -82580992, -4230585, 38101384, 1798524, -11860992, 319470718, 60146608, -112553136, 55007904, 283129665, -77842152, -442694824, -262400, -17609724, 228195948, 312906392, 52590096, 216997922, 58450392, -49232610, 34384384, 45013090, 18686376, 65126040, -29094176, -108275310, 89629584, -362604369, 25704000, 26984412, -235836104, 22386942, -75753392, -56334222, -8103240, 412360, 4194304, -92173302, 100918400, 354456388, -4210704, -187069022, 16813056, -8460207, 66706944, 252930250, -67773420, -49535880, -46724832, 79876125, -137879232, 132849019, -46248192, 39687648, 89448856, 18522972, -46264400, 140911894, 136080, -4272796, 138451456, -16645023, 19490500, -201826064, -40622688, -39501648, 78343048, -21370635, -1677312, 170007216, -150074388, -287260184, 177530432, 79791831, 23875852, 69657912, -25225344, -256655894, -6216420, -179775000, -120207584, 223080, -26022420, -119825748, -93684480, -9451971, -217711836, 180306541, -55268928, -10351475, -225723216, -149231610, 63879744, -89161422, -2047032, 73105866, 37332000, 49150872, 82819632, -275256786, 7557120, 308047747, 23589280, 23992605, -102975088, -161108394, -52236792, 23255232, 35462784, 210699918, -160430516, -47373860, -17127936, 259226625, 276949968, -99450630, -13215488, -168367913, -7696080, -89277040, 11731200, 39284352, 68986600, 6885879, -11875968, -181446995, -17742500, 197640, 41895840, -199336326, 98455500, 395721438, 36839424, -3022110, 294451392, 20820314, -27928224, -70845060, -215503728, -101954781, 111071872, -238386082, -18618444, -26951694, -11945760, -92029383, -23461152, -285417250, -3919104, -5619236, 1128400, -178972794, 50499440, -134228178, -4691556, 92758810, -65071360, -11622852, 13189176, 5716620, 40816224, -248028400, -140231684, -117543096, -34816000, -308829235, -38564424, 373650310, -3976896, -235786779, 3975320, 199931648, -6424704, 151620, -175913816, -4782969, -187301344, 42475795, -25030404, 192702510, 11459328, 383896125, 93480640, 26767398, -2971728, 57447156, 197885688, 230425902, 35214080, -11177640, 129381120, -10655396, -28106016, 6195042, 179422444, -164402952, -184320, -30393982, 13923000, 66375720, 123295744, 284698959, 27410400, 49464765, -88236992, 189762579, -263157780, 144667380, 45747072, -324559649, -134245480, -2280798, -108077824, -55338712, 135835128, 777654375, 88977776, -78462648, 14931504, -1682600, -5692032, -142646790, 189918632, 7889049, -25051104, 306263750, 63927936, 38768016, -12300288, -54817884, -19083904, -34367493, -62730000, 167876604, 142366480, 160476030, -134264704, -22003956, -39524436, 369962433, -188270784, 113850648, 291360, 40467000, -32497920, 34688504, -84940520, -71617203, 19378464, 109698875, -13663728, -36353682, -13821632, 7794360, 114030840, -32886291, -15011568, 356185194, 23216088, 51268797, 10424320, -339078286, -89446968, -29937336, 103943904, -332100, -305796000, 529646178, -4366656, 998295, 170538368, 226492461, -114469120, -63807177, 43517736, 9552640, 4093440, -15232932, 82834500, 262219008, -7271280, -207044840, 66442176, 32531625, 86028800, -135211973, -61555176, -42968386, -858880, -9277632, -91052576, 51370410, 5308416, -125736345, -231663096, 212106141, -136125008, 285848190, -22162140, 257280912, 198129152, 84425976, -6432816, 169130871, -33277248, 224598660, -3311092, -144964188, -26159616, -202119340, -58532868, 3274280, -172048448, -26523288, -295536084, -15127788, 48458880, -95121375, -9802044, 175227624, -86546080, -197072348, 8809740, -174159699, 33903616, 30540600, 41921880, -47374818, -2122848, -150458510, 147078952, 18782100, -158637824, -108035928, 1530000, -13275466, -13675312, -31925826, -151431280, 484673958, -8391168, 22108788, -102245800, 65385306, -6342048, -403143433, -118569420, -309206326, -17762304, 72865944, 175982304, 897130375, 65157408, -86414265, 208899548, 80847801, -61964288, -2781240, 40739328, -384937430, -88834144, 74226438, 124313136, -44038029, 9564480, 361687516, 182961600, -1609686, 102102000, 397708173, 148030092, -313249410, -10685696, 44882586, -154090344, -32187870, 29836656, 487468600, -105730884, -201355668, -99840, -241156326, -16725852, -96279120, -20907008, 269758125, 9705520, 44217768, 24735744, -330422179, -217133612, -15030522, -127177344, 24779664, 67663728, -365903736, -183708096, 61086105, -12053328, 259013628, 46624896, 48487354, -86530000, 540540, -10557440, -14745685, -3083184, 124230400, -39992736, 140575338, -161362344, -143900994, -94299264, 225804920, -49339256, -8241021, 45399392, -596128819, -4960116, -33978750, 5914624, 270446274, 183738568, 1161384, -100200672, 77802217, 2110880, -82355940, -3081792, -342726390, -111644640, -103366835, -17603040, 56349216, 89054148, 5645772, -44064000, 59169024, -39100512, -65217177, 239478224, -36439980, 96572952, -144675720, 31706880, -8131266, -104949600, -134089820, 28425600, 2493800, 347855680, -29336283, 30018560, 217145250, 14503212, -90126349, -57560208, -237162177, -2365272, -207496146, 80099712, -387307158, 298119744, 44567820, 107961280, 168982698, -68035968, -544244928, -5902848, -35000532, -281426500, -3938610, -233280, -30570540, -47292680, 224918028, 138217280, -132109755, -56848176, 372174530, -47173984, -111674943, -390700872, 117951855, 2875392, -56658310, -96623144, 69653250, 93211696, 21554200, -136785996, -242755174, -86244480, 13851810, -110937112, -236720, 10656720, -18025176, -74269692, -7203978, -88564224, -73956597, 205415568, -108387552, 514352000, 24996006, -78786480, -202155625, -15567552, -436021278, 26248560, -28501263, 217669712, -439408376, 152848152, -18635903, -55181312, -169928766, -344400, -557680252, -141976512, 88699625, 162131112, 69024501, -64746240, -265284768, -41130180, 306865706, 45129504, -153186462, 41284800, 198496601, -60793344, -38186106, 51949344, -17493003, -4545216, -322829584, -205326000, 36987489, 63841920, 2723040, -3654900, -99426327, 13193280, -189754875, 430333340, -14704146, 5505024, 35293596, -11804364, 23921655, 305954336, -5526549, -377047584, 87635000, -71821440, 513930560, 87552864, -220533408, 134198032, -82565208, 5180760, 373242408, -732160, -131018589, -412624836, 278946038, -60700752, -100327188, -200439976, 108880200, -49096000, -60722025, 46202904, 16161522, 126435312, -159035220, 181717536, -290110432, 6718464, -528300865, -58872712, -53317278, 43348480, 96097812, 230105448, 1153480, 13398528, 250757208, -194946248, 16159443, -22610016, 233008692, 366449700, -99423360, -76324864, 315307913, -33108264, 253935968, -4467408, 25255152, -244734608, -157772454, 6817536, 163941144, -249177500, 61330770, -122960880, 604522890, -259920, -46027389, -38502400, -156999843, -51078768, -154003040, 42909264, 258033705, 83842164, 401817438, -129088960, -369015403, -45886968, 48998250, -109227424, -200775996, 248321192, -54275364, 9918720, -152406619, -174548736, 177584265, 296093632, -135154803, -10620072, 228266403, -100519680, 191417499, -283280096, 29415860, -23868000, -355303234, 417073472, -22480416, 77000704, -698849567, -84796740, -615499366, -17345328, 306561132, 229663140, -326109126, -78423552, 15397200, -88160616, 172862118, -1557120, 735152250, -15587208, -584296672, -18762240, 12105045, -28883140, -334667960, -25596864, -19116006, 43387344, -45827145, 48351744, -244510838, -13524084, -127626425, 7521040, -36655794, 458048000, 531044178, 21086208, -340062444, 145781832, -126360, 200094464, 426762942, -287788464, -15678810, 138386048, -48085812, 14699920, 201510624, 31306176, -500872952, -132184624, 504632250, -93493504, 66280515, -69372000, 350465027, 87524640, -232505559, -85406160, 73063560, -33220224, 90949438, -1057280, 53571294, 192489440, 5772390, -13361760, 718260704, -45696000, 143892414, -341954112, 34994245, -39799008, 31767824, -274539720, -119347506, 14405760, 212152490, -8432424, -368107330, 163863648, -243040230, 170733080, -245833014, 7485696, 6077500, 638049708, 138736620, 15040368, 588062526, 109383732, -76903944, 120486080, -3900393, -141994460, -338174400, -142002000, -305062384, 100030980, -470984085, 82219008, -495092363, -55768500, -36889146, -32929728, 60465600, 258819704, -22638564, -241920, 181253415, 119218784, 40129020, 29591152, 161825664, 215548020, -529438514, 72218112, 7146360, -115811052, 633556000, 37992240, -186411680, 47809396, -365431968, 266798912, 471672598, -289938636, 588008421, -141852144, 101376198, -38903280, -2380520, 44845056, 116783331, 118517828, 116936514, 319600000, -91412428, -7470792, 635013803, 46262080, -11832858, -110137480, -32879574, 16803504, 531671877, 527945824, 174931245, 98255872, -584859048, 298559484, -151455094, 265300640, -82333125, -183440, 268775364, 3639168, 278025503, -176222424, -25904709, -87379328, 409376580, 185204448, -247105404, -13434880, -109153170, 200877320, 131124977, -42653520, -12247092, -639166000, 100070406, 92865408, -154797016, -112089096, -213670680, -374577632, 1692000, -18140892, -15068501, 30449664, 494185514, 3692832, -19702683, 176801120, 208999889, 148138740, 155741250, 13681920, 143970732, -70887888, 480456594, -69838848, 136426374, -258247636, 23242518, 21112832, -443477320, 34881264, 367292819, -351360, -81944460, 65324992, -150240720, -175032000, 117569346, 507725564, -342219600, 5372640, -222588502, -76941576, 383609226, 49650176, -9543555, -364712400, -32342765, 181252944, -14887640, 112912800, 80799930, 33099456, 776069125, 165049920, -2439780, 163607792, 57609981, -29812304, -485530146, 6967296, 722146248, 300083100, 246811923, 318173856, -178664073, -42479424, 654822392, 8340544, -90899010, 260044512, -48132672, 20662848, -204614805, -254695008, -43676388, -72562176, 208213762, -926640, -13864968, 208965504, -23485464, 442487676, -508000514, 68558976, -225813588, -31309492, -62137125, 419176496, -475684464, 63602280, -95692000, 11421696, -126556452, -61949160, -113591730, 8503056, -761212442, 215359816, -543344373, 44498496, 2686280, -1990944, 815217664, -682482000, 16957512, 42330860, -472886059, 5283072, -796632324, -208212144, -419711382, -409646048, 815956284, -96598656, -17948847, -230010880, 38040210, -17994288, -508009630, -11013408, -599466750, -489725368, 8628444, 327680, -8323938, 248015520, 607146826, -118001280, 26728164, 141886976, -21557796, -48729600, 532397560, -563962256, 85519098, -337355696, -525376938, -372249000, -355777090, -81328128, -163378215, -306195600, 591410754, 4054752, -116594814, -444734052, -3613140, -241484672, -458328515, 12553380, 566377081, 139489152, -349820568, -430644820, -815600500, 10119168, -76917750, 175757204, -127220220, -14024976, 208431700, 52406640, -124889394, -113649664, 39160611, 513124116, 676675692, 97454016, -8351106, -131040, 442903419, 111520000, -311224600, -202203180, -27440448, -285290720, -99254808, 197238032, -30448539, 70265664]