# Trace form for 966.6.a.b, downloaded from the LMFDB on 25 April 2024. [0, 1, 4, 9, 16, 28, 36, 49, 64, 81, 112, -15, 144, -1066, 196, 252, 256, -80, 324, -1319, 448, 441, -60, 529, 576, -2341, -4264, 729, 784, -3586, 1008, -7850, 1024, -135, -320, 1372, 1296, 5074, -5276, -9594, 1792, -17627, 1764, 10392, -240, 2268, 2116, -11805, 2304, 2401, -9364, -720, -17056, -345, 2916, -420, 3136, -11871, -14344, -31347, 4032, -5019, -31400, 3969, 4096, -29848, -540, -26552, -1280, 4761, 5488, -23492, 5184, -5356, 20296, -21069, -21104, -735, -38376, 99870, 7168, 6561, -70508, 47482, 7056, -2240, 41568, -32274, -960, -58182, 9072, -52234, 8464, -70650, -47220, -36932, 9216, 72722, 9604, -1215, -37456, -7315, -2880, 26791, -68224, 12348, -1380, 180228, 11664, 170440, -1680, 45666, 12544, 31666, -47484, 14812, -57376, -86346, -125388, -3920, 16128, -160826, -20076, -158643, -125600, -153048, 15876, -58147, 16384, 93528, -119392, -95801, -2160, -64631, -106208, 20412, -5120, 153687, 19044, 316100, 21952, -106245, -93968, 15990, 20736, -100408, -21424, 21609, 81184, -378667, -84276, -97703, -84416, -6480, -2940, -219800, -153504, -582567, 399480, -3105, 28672, 25921, 26244, -347407, -282032, -3780, 189928, 170559, 28224, 765063, -8960, -106839, 166272, 125346, -129096, -114709, -3840, -282123, -232728, 341736, 36288, -26378, -208936, -45171, 33856, 142072, -282600, 1200, -188880, 35721, -147728, 509995, 36864, -265715, 290888, -268632, 38416, -384814, -4860, -423655, -149824, -238968, -29260, -175714, -11520, -493556, 107164, 42849, -272896, 19785, 49392, 387057, -5520, -211428, 720912, 290976, 46656, -384650, 681760, -48204, -6720, 85280, 182664, -299642, 50176, -189621, 126664, -1296486, -189936, 449749, 59248, -6615, -229504, -529188, -345384, -330540, -501552, 898830, -15680, 413400, 64512, 1263519, -643304, 59049, -80304, 67228, -634572, 1406054, -502400, 427338, -612192, 1160178, 63504, -7935, -232588, -20160, 65536, -1278151, 374112, 248626, -477568, -290466, -383204, -622739, -8640, -9660, -258524, -523638, -424832, -1544394, 81648, 1026948, -20480, -470106, 614748, 35115, 76176, -896465, 1264400, -635850, 87808, 793958, -424980, -220788, -375872, -332388, 63960, -863723, 82944, -1413457, -401632, 654498, -85696, -541868, 86436, -877716, 324736, -10935, -1514668, -563914, -337104, 509208, -390812, -65835, -337664, -140532, -25920, -2871224, -11760, 241119, -879200, 2389045, -614016, 850937, -2330268, 111132, 1597920, -24742, -12420, 53790, 114688, 1622052, 103684, 105520, 104976, 2495506, -1389628, 1533960, -1128128, -578445, -15120, -2498135, 759712, 410994, 682236, -743456, 112896, -3782646, 3060252, 284994, -35840, 117750, -427356, 117649, 665088, 133308, 501384, -1250946, -516384, 4068634, -458836, -777114, -15360, 2478994, -1128492, -657776, -930912, -35280, 1366944, 4149360, 145152, -736338, -105512, -1447434, -835744, -149968, -180684, 3704545, 135424, -1427787, 568288, -16905, -1130400, -57154, 4800, -1377432, -755520, 3822676, 142884, -3854266, -590912, -523323, 2039980, -4729594, 147456, -20580, -1062860, 841752, 1163552, -3230518, -1074528, -42320, 153664, -862209, -1539256, 2796360, -19440, 414238, -1694620, -581679, -599296, 1527517, -955872, 8368100, -117040, 183708, -702856, -76110, -46080, -2836742, -1974224, 1383183, 428656, -1536003, 171396, 1329496, -1091584, 2844900, 79140, -78114, 197568, -1585536, 1548228, -956205, -22080, 187280, -845712, -245931, 2883648, 143910, 1163904, -1021599, 186624, 246539, -1538600, -903672, 2727040, -697751, -192816, -619792, -26880, 194481, 341120, -5744504, 730656, -1629096, -1198568, -3408003, 200704, 4806354, -758484, 264405, 506656, -879327, -5185944, -1462552, -759744, -2654474, 1798996, -58320, 236992, 6457970, -26460, -3395351, -918016, -1978200, -2116752, -3629894, -1381536, -1301048, -1322160, -5243103, -2006208, -155880, 3595320, 3087779, -62720, -27945, 1653600, -600524, 258048, -5408884, 5054076, 233289, -2573216, 2036216, 236196, -2406876, -321216, -3126663, 268912, -2774930, -2538288, 286880, 5624216, -34020, -2009600, -1151108, 1709352, 3688716, -2448768, 1535031, 4640712, 6329456, 254016, -204820, -31740, 6885567, -930352, 2867189, -80640, -262444, 262144, -961551, -5112604, 750148, 1496448, 177075, 994504, 1128114, -1910272, -7274742, -1161864, 11733393, -1532816, -1032381, -2490956, 628000, -34560, 279841, -38640, -2539107, -1034096, 18790382, -2094552, 5046384, -1699328, 3075624, -6177576, -36015, 326592, 3986635, 4107792, -237402, -81920, 4772320, -1880424, 8478448, 2458992, -406539, 140460, 4729934, 304704, 4893630, -3585860, 1278648, 5057600, 11166618, -2543400, -11077872, 351232, 10800, 3175832, -3617052, -1699920, 886648, -883152, 321489, -1503488, -5539479, -1329552, 5991944, 255840, 4589955, -3454892, -1238389, 331776, -2121210, -5653828, -2391435, -1606528, 2326618, 2617992, 5175, -342784, -2417688, -2167472, -5734029, 345744, 10354150, -3510864, -3463326, 1298944, -11927658, -43740, -109760, -6058672, -3812895, -2255656, -10837914, -1348416, 6618164, 2036832, -2150712, -1563248, -4503128, -263340, -5316444, -1350656, -1581426, -562128, 12584130, -103680, -4597866, -11484896, -4442004, -47040, 15191262, 964476, 7601444, -3516800, 385641, 9556180, -2850918, -2456064, 3030281, 3403748, 178065, -9321072, -405920, 444528, 4708426, 6391680, 3483513, -98968, -1628116, -49680, -2559466, 215160, -1902852, 458752, 345153, 6488208, 10549099, 414736, 2618784, 422080, -14990212, 419904, 470205, 9982024, -3461850, -5558512, 658304, 6135840, -2682428, -4512512, -433836, -2313780, 20991904, -60480, 668861, -9992540, 767520, 3038848, -1809668, 1643976, -1896994, 2728944, -2696778, -2973824, 75285, 451584, 2601769, -15130584, -1706589, 12241008, 8724400, 1139976, 3563378, -143360, -11668374, 471000, 20882248, -1709424, 4303236, 470596, 4047741, 2660352, 367770, 533232, 8868128, 2005536, -59535, -5003784, 8850800, -2065536, 1410160, 16274536, -4762692, -1835344, -10305433, -3108456, -6692606, -61440, -2974860, 9915976, -358435, -4513968, -6853270, -2631104, 8089470, -3723648, -4152650, -141120, 447720, 5467776, 3720600, 16597440, -12525528, 580608, 1312759, -2945352, 11371671, -422048, 8394826, -5789736, 10650491, -3342976, 531441, -599872, -831360, -722736, -18078154, 14818180, 605052, 541696, 398280, -5711148, -6391220, 2273152, 12654486, -67620, 7485237, -4521600, -10602676, -228616, 3846042, 19200, 8831172, -5509728, -9450328, -3022080, 10441602, 15290704, -2735684, 571536, -13256812, -15417064, -71415, -2363648, 14578035, -2093292, 8351560, 8159920, -181440, -18918376, 33415902, 589824, -3476934, -82320, -11503359, -4251440, 12095344, 3367008, 18376850, 4654208, 2237634, -12922072, 23250013, -4298112, 352380, -169280, -2614194, 614656, -16311876, -3448836, -5549333, -6157024, -5604651, 11185440, 1551634, -77760, 5350254, 1656952, -86940, -6778480, 32930478, -2326716, 944400, -2397184, -4712742, 6110068, 80340, -3823488, 725788, 33472400, -13899546, -468160, 7095638, 734832, 15621118, -2811424, 9242532, -304440, -9727396, -184320, -13707048, -11346968, -4230954, -7896896, 22688216, 5532732, 16171231, 1714624, 316035, -6144012, 2971505, 685584, -34226522, 5317984, -8068185, -4366336, -192080, 11379600, 4775652, 316560, -5722650, -312456, 35852638, 790272, -7651753, -6342144, 7145622, 6192912, 21421764, -3824820, -7880474, -88320, -1987092, 749120, 2684146, -3382848, -21470172, -983724, -2991492, 11534592, -19067927, 575640, -38148464, 4655616, -7773507, -4086396, 37820406, 746496, 3509688, 986156, -12721113, -6154400, -1498050, -3614688, 28304432, 10908160, 5890482, -2791004, -7499352, -771264, 13988735, -2479168, -4876812, -107520, 12858738, 777924, 28413368, 1364480, -7899444, -22978016, -15964560, 2922624, -2849203, -6516384, -98415, -4794272, 15570795, -13632012, 9568608, 802816, -5075226, 19225416, 28150100, -3033936, 27600, 1057620, 4582872, 2026624, -738584, -3517308, -17740472, -20743776, -592515, -5850208, 771952, -3038976, -712230, -10617896, -1264788, 7195984, -4694249, -233280, -5431870, 947968, -25841016, 25831880, 25042472, -105840, -11878234, -13581404, 2170071, -3672064, 8300882, -7912800, -3166919, -8467008, 21501405, -14519576, 33600, -5526144, -8199469, -5204192, 7658433, -5288640, -10127544, -20972412, -9324683, -8024832, 1000188, -623520, 14600640, 14381280, 5709496, 12351116, -222678, -250880, -21595505, -111780, 14279860, 6614400, 484110, -2402096, 7530663, 1032192, 32993349, -21635536, 14598468, 20216304, -7440020, 933156, -14592412, -10292864, 949680, 8144864, 40760878, 944784, 15488900, -9627504, 22459554, -1284864, 34098555, -12506652, 872730, 1075648, 13805640, -11099720, 40137298, -10153152, -10774792, 1147520, -5206005, 22496864, 5497368, -136080, -29724495, -8038400, -22483215, -4604432, -11862340, 6837408, 486768, 14754864, 3698946, -9795072, 783510, 6140124, 2507760, 18562848, -6691104, 25317824, 455055, 1016064, -5934862, -819280, -34043814, -126960, 25428185, 27542268, -4919992, -3721408, 2564946, 11468756, 12511049, -322560, -22951838, -1049776, 1059750, 1048576, 41264807, -3846204, -106461420, -20450416, 1058841, 3000592, -7189755, 5985792, 26791744, 708300, 1199772, 3978016, 401520, 4512456, 8858810, -7641088, -11258514, -29098968, -18554683, -4647456, 553980, 46933572, 36617706, -6131264, -7770950, -4129524, -66188673, -9963824, -6994026, 2512000, 10837596, -138240, -4787447, 1119364, 22310946, -154560, 68746298, -10156428, -46472255, -4136384, -5919984, 75161528, -1090830, -8378208, 20221538, 20185536, -317520, -6797312, -18195364, 12302496, -24327672, -24710304, 37344240, -144060, -50615812, 1306368, -6244845, 15946540, -6627042, 16431168, -10770200, -949608, 28424323, -327680, -13026906, 19089280, -67308306, -7521696, 41630321, 33913792, -1349712, 9835968, 34670097, -1626156, -28545783, 561840, 33340905, 18919736, -21043455, 1218816, 2387840, 19574520, -12850083, -14343440, -51283310, 5114592, 109725, 20230400, -152145, 44666472, -8389976, -10173600, -45439903, -44311488, -514386, 1404928, 41346693, 43200, -58846492, 12703328, -12396888, -14468208, 1270129, -6799680, -46780775, 3546592, 34404084, -3532608, -401865, 1285956, -36301608, -6013952, -34688394, -22157916, 2124160, -5318208, -17022943, 23967776, -4709907, 1023360, 12592972, 18359820, -39830900, -13819568, -42566346, -4953556, -74512312, 1327104, -63216294, -8484840, -185220, -22615312, 62022012, -9565740, 6620061, -6426112, 7575768, 9306472, -21258304, 10471968, -14817264, 20700, -29074662, -1371136, 8357391, -9670752, 46167000, -8669888, -380880, -22936116, 27635505, 1382976, -2703420, 41416600, -7759881, -14043456, -68155699, -13853304, 37488087, 5195776, 25167240, -47710632, -58873007, -174960, 63210422, -439040, 3728142, -24234688, 29438176, -15251580, 11575200, -9022624, -5235111, -43351656, -2556600, -5393664, 36890486, 26472656, 13747653, 8147328, 35378532, -8602848, 1879360, -6252992, 75312900, -18012512, 6141954, -1053360, -75618574, -21265776, 1653372, -5402624, -22927348, -6325704, -182505, -2248512, -684990, 50336520, -21041241, -414720, -5620741, -18391464, -25530678, -45939584, 7945691, -17768016, -97611036, -188160, 12448647, 60765048, 39369512, 3857904, 37981958, 30405776, -13824027, -14067200, 428480, 1542564, -474990, 38224720, 11965464, -11403672, -37265712, -9824256, -22871175, 12121124, 25604100, 13614992, 16745064, 712260, 32484984, -37284288, -703026, -1623680, 28480426, 1778112, -77521652, 18833704, -14269824, 25566720, -222180, 13934052, -1292522, -395872, -8605845, -6512464, 138371950, -198720, 35022088, -10237864, 1685520, 860640, -12220909, -7611408, 50385448, 1835008, -2213379, 1380612, -75946290, 25952832, -35788228, 42196396, 1295190, 1658944, 4045456, 10475136, -88899890, 1688320, -9194391, -59960848, 6961528, 1679616, 16984653, 1880820, 2218851, 39928096, -52463385, -13847400, -92585918, -22234048, -8133048, 2633216, 14194342, 24543360, 58800, -10729712, -6279759, -18050048, 7797790, -1735344, -17436692, -9255120, -5578128, 83967616, -29433152, -241920, -55101582, 2675444, 1750329, -39970160, 807645, 3070080, -124630205, 12155392, -51700536, -7238672, 4828155, 6575904, -81577200, -7587976, -14661864, 10915776, 24989755, -10787112, -28559206, -11895296, -30672027, 301140, -7989600, 1806336, -43243032, 10407076, 43257186, -60522336, 30985948, -6826356, -13020035, 48964032, 2379645, 34897600, 28754544, 4559904, -16582563, 14253512, -7913943, -573440, -49621710, -46673496, 42332730, 1884000, -13162968, 83528992, 76321792, -6837696, -43598481, 17212944, -23890266, 1882384, -21331266, 16190964, 2295720, 10641408, -524880, 1471080, -18855886, 2132928, 48617675, 35472512, 58121730, 8022144, -25101020, -238140, 7064564, -20015136, -30558159, 35403200, -192123048, -8262144, -20759095, 5640640, -17803800, 65098144, 872205, -19050768, 97303237, -7341376, -32669046, -41221732, -2655051, -12433824, 22230824, -26770424, -11709432, -245760, -13157264, -11899440, -3798560, 39663904, -47187927, -1433740, -6182064, -18055872, -181689040, -27413080, -1402920, -10524416, -8609986, 32357880, 106172948, -14894592, 27790011, -16610600, 30360943, -564480, -65124775, 1790880, -251505, 21871104, 35111710, 14882400, -24184244, 66389760, -5404716, -50102112, 72338536, 2322432, 1437015, 5251036, -48679956, -11781408, -39576796, 45486684, -52504912, -1688192, 2099601, 33579304, -73689040, -23158944, 135577781, 42601964, 18325944, -13371904, 92669250, 2125764, 48267220, -2399488, -21661884, -3325440, 969465, -2890944, -15172304, -72312616, -28139967, 59272720, -33755956, 2420208, -139523024, 2166784, -24974370, 1593120, 73383327, -22844592, 18965793, -25564880, 2581920, 9092608, -2745932, 50617944, -63305241, -270480, -306180, 29940948, -11441448, -18086400, -56195857, -42410704, -10359972, -914464, -85902630, 15384168, -15789592, 76800, 33198444, 35324688, -153272416, -22038912, -131728530, -37801312, 13815279, -12088320, 14257824, 41766408, -2305305, 61162816, 56965104, -10942736, -85880400, 2286144, 4654560, -53027248, -1843380, -61668256, -89439398, -285660, -18847850, -9454592, 61970103, 58312140, -96925717, -8373168, 11749479, 33406240, 25804701, 32639680, -4741500, -725760, 32821528, -75673504, -2361996, 133663608, -80394272, 2359296, 1237170, -13907736, -8653959, -329280, -14046008, -46013436, -151244432, -17005760, 6751332, 48381376, 4178720, 13468032, 152190979, 73507400, 1593675, 18616832, -138914583, 8950536, 66893260, -51688288, 10153026, 93000052, 86796433, -17192448, -14682458, 1409520, -65472678, -677120, 23826236, -10456776, -45103658, 2458624, 105600537, -65247504, -78919758, -13795344, 171440516, -22197332, -9291429, -24628096, -62628758, -22418604, 70744906, 44741760, 5652000, 6206536, 36782923, -311040, -692776, 21401016, 2518569, 6627808, -63527814, -347760, 52729008, -27113920, -22851963, 131721912, 1506120, -9306864, -109473788, 3777600, 169113438, -9588736, -159817492, -18850968, 22037701, 24440272, 45417456, 321360, 70215755, -15293952, -67844831, 2903152, 27680616, 133889600, -76071042, -55598184, 2954560, -1872640, -324135, 28382552, 679158, 2939328, 107601188, 62484472, 35879715, -11245696, 163149168, 36970128, 30986611, -1217760, -2136618, -38909584, -25930212, -737280, -12427268, -54828192, 42950880, -45387872, 96732583, -16923816, 5680005, -31587584, 76306032, 90752864, 2708250, 22130928, -16196460, 64684924, -3658851, 6858496, -5817760, 1264140, 61984702, -24576048, 42569406, 11886020, -69947780, 2742336, 121011838, -136906088, 44042670, 21271936, 1465545, -32272740, -208806816, -17465344, 11507832, -768320, -72535983, 45518400, 121139078, 19102608, 100499562, 1266240, 20256600, -22890600, 62158232, -1249824, -99700848, 143410552, -2833324, 3161088, 194854928, -30607012, 97200, -25368576, -105914088, 28582488, 61912431, 24771648, -32553468, 85687056, 76742058, -15299280, -39928439, -31521896, 7979832, -353280, 30157731, -7948368, 9643561, 2996480, 2893401, 10736584, 102123866, -13531392, 3297000, -85880688, -49855311, -3934896, -5693317, -11965968, 112410342, 46138368, 53927496, -76271708, 3294172, 2302560, 585200, -152593856, 41309595, 18622464, 133575578, -31094028, -130755028, -16345584, -11145501, 151281624, 8738505, 2985984, 68896646, 14038752, -19090890, 3944624, -42423156, -50884452, -35026488, -24617600, -21522915, -5992200, -59898570, -14458752, 161482276, 113217728, 20939562, 43632640, 113921752, 23561928, -360518, -11164016, 46575, -29997408, -2143280, -3085056, 96168262, 55954940, -21759192, -9916672, 56848722, -19507248, -133434834, -430080, -51606261, 51434952, -183179784, 3111696, 69411832, 113653472, 93187350, 5457920, 17998134, -31597776, -388815, -91912064, -31169934, -63858240, 54994772, 11690496, 65804484, -11396812, -107348922, -26065536, -163830342, -393660, 78681674, -19177088, -987840, 62283180, 203184220, -54528048, -13341557, 38274432, -34316055, 3211264, 5211105, -20300904, 116182080, 76901664, -97541226, 112600400, -62629399, -12135744, 28183424, 110400, 59563476, 4230480, -20617464, 18331488, -336962600, 8106496, -19356408, -2954336, 93487032, -14069232, 12182674, -70961888, -40528152, -82975104, 52831230, -2370060, -14418240, -23400832, -47847996, 3087808, -86193485, -12155904, 12538396, -2848920, -14232834, -42471584, 246073950, -5059152, -127193808, 28783936, 113257170, -18776996, 103727260, -933120, -2558385, -21727480, -41380794, 3791872, -30514211, -103364064, -95920318, 103327520, -39978036, 100169888, -89497438, -423360, -39014779, -47512936, 136721358, -54325616, -13635200, 8680284, -473340, -14688256, 68412996, 33203528, -11475945, -31651200, -95904086, -12667676, 3470769, -33868032, -1600312, 86005620, 158486746, -58078304, -25658262, 134400, 51001430, -22104576, 173780206, -32797876, 27272529, -20816768, 3955759, 30633732, 132265052, -21154560, 1602585, -40510176, -75675306, -83889648, 107034928, -37298732, -3653280, -32099328, 168680626, 4000752, 39399150, -2494080, 42375834, 58402560, -107919448, 57525120, 50320452, 22837984, 31351617, 49404464, 269872305, -890712, -1880190, -1003520, -14653044, -86382020, -8798, -447120, 25117978, 57119440, -23035194, 26457600, 152757282, 1936440, -132428632, -9608384, -17125668, 30122652, 9648485, 4128768, -2533280, 131973396, 3106377, -86542144, 1720635, 58393872, 208086735, 80865216, 94941891, -29760080, -18583696, 3732624, 243404706, -58369648, 23569056, -41171456, 403659022, 3798720, -43926785, 32579456, -134911908, 163043512, 95215472, 3779136, -90454504, 61955600, 4231845, -38510016, 239019028, 89838216, -39265036, -5139456, -31156650, 136394220, -1184960, -50026608, -35337329, 3490920, 5924736, 4302592, -1750530, 55222560, 104151398, -44398880, -24141852, 160549192, 38903942, -40612608, -5126040, -43099168, -3904524, 4590080, -146829389, -20824020, -233795670, 89987456, 188927136, 21989472, 8440221, -544320, -10818612, -118897980, 6019749, -32153600, 11598664, -89932860, -279592510, -18417728, 6907680, -47449360, 395670, 27349632, 170760926, 1947072, -16287012, 59019456, 200323086, 14795784, 101382358, -39180288, -17072946, 3134040, -116039436, 24560496, 42770476, 10031040, -24271002, 74251392, -42322427, -26764416, 225357246, 101271296, 677565, 1820220, 234306800, 4064256, 315874107, -23739448, 23415921, -3277120, -122677560, -136175256, -69259393, -507840, -15359301, 101712740, 259445224, 110169072, -207021669, -19679968, 78519600, -14885632, -237720732, 10259784, -2131080, 45875024, 32070402, 50044196, -19980783, -1290240, 621016422, -91807352, -105015366, -4199104, -79428776, 4239000, -30778278, 4194304, 187940232, 165059228, -26551532, -15384816, -223188790, -425845680, 38729124, -81801664, 12866080, 4235364, 84242312, 12002368, 36429669, -28759020, 159578885, 23943168, -43008084, 107166976, 3309930, 2833200, 101884134, 4799088, -224810360, 15912064, 79813152, 1606080, -111155362, 18049824, 208433200, 35435240, -535815, -30564352, 243128659, -45034056, -90340416, -116395872, 79657200, -74218732, -276381463, -18589824, -16228117, 2215920, 12691440, 187734288, -27631786, 146470824, -2187192, -24525056, -42864228, -31083800, -383192855, -16518096, -7649925, -264754692, -92748897, -39855296, -44395008, -27976104, 24951192, 10048000, -60233454, 43350384, -336220448, -552960, -18485561, -19149788, -26773740, 4477456, 19206616, 89243784, 370335862, -618240, -3225915, 274985192, 3985725, -40625712, 12243840, -185889020, -61679430, -16545536, -401417820, -23679936, -411800441, 300646112, 72805230, -4363320, -6886068, -33512832, 52917582, 80886152, -37373850, 80742144, -29690899, -1270080, 309183299, -27189248, 4029480, -72781456, -41767454, 49209984, -140689976, -97310688, 33485400, -98841216, 163857663, 149376960, -28604772, -576240, -112729752, -202463248, 4651760, 5225472, -47001881, -24979380, 11814831, 63786160, 6903092, -26508168, 5772210, 65724672, 102345039, -43080800, -181815894, -3798432, 6081315, 113697292, 75553434, -1310720, 117063205, -52107624, -312514776, 76357120, 95854419, -269233224, -159054678, -30086784, -19537028, 166521284, 4782969, 135655168, 6354825, -5398848, 41695913, 39343872, -7482240, 138680388, -17354176, -6504624, -419758820, -114183132, -162703386, 2247360, 184412200, 133363620, 411874672, 75678944, 5445468, -84173820, -251924691, 4875264, -89986982, 9551360, 3584520, 78298080, 133114473, -51400332, -160846112, -57373760, -57520980, -205133240, -1212358, 20458368, 71838338, 438900, 113890374, 80921600, 136204062, -608580, 7664080, 178665888, 67367133, -33559904, 38469938, -40694400, 2635710, -181759612, -95424084, -177245952, -6658044, -2057544, -211170996, 5619712, 34614378, 165386772, -132348369, 172800, 134577912, -235385968, 79480548, 50813312, -133618836, -49587552, -161088488, -57872832, -85052952, 5080516, 7403340, -27198720, -25466406, -187123100, 93974418, 14186368, 5170480, 137616336, 42044600, -14130432, -24621156, -1607460, -75806335, 5143824, 203417506, -145206432, -119311308, -24055808, 270863886, -138753576, 122279794, -88631664, -642735, 8496640, -3585240, -21272832, 196822166, -68091772, 131202315, 95871104, -74325272, -18839628, -427562336, 4093440, 75164040, 50371888, -358133820, 73439280, 140390890, -159323600, -1632960, -55278272, 120894789, -170265384, 212129494, -19814224, 300743118, -298049248, -28343805, 5308416, 180823160, -252865176, -31292406, -33939360, 206079951, -740880, 205399686, -90461248, -103530231, 248088048, -95069828, -38262960, -122408615, 26480244, 108858096, -25704448, -5805855, 30303072, -3869635, 37225888, 165391650, -85033216, -364290576, 41887872, -12294960, -59269056, 20138706, 82800, -40053265, -116298648, -101637032, -5484544, 209250117, 33429564, -163736458, -38683008, -168729292, 184668000, 3171420, -34679552, -36429344, -1523520, -170848733, -91744464, -23527746, 110542020, 257730210, 5531904, 28118948, -10813680, -146806884, 165666400, -3766686, -31039524, -185349654, -56173824, -49943997, -272622796, -25288000, -55413216, -4364640, 149952348, -50441859, 20783104, 14172439, 100668960, -67740178, -190842528, 13964706, -235492028, 201870312, -699840, 381004579, 252841688, 48152286, -1756160, -141978176, 14912568, -378028741, -96938752, -782460, 117752704, 5769750, -61006320, 10869734, 46300800, 296374302, -36090496, 418487065, -20940444, -16814672, -173406624, 8499600, -10226400, -50962590, -21574656, 5764801, 147561944, -42414678, 105890624, -151448752, 54990612, -170270452, 32589312, 723060, 141514128, 89845658, -34411392, 76695893, 7517440, 6532092, -25011968, 81036026, 301251600, 552553569, -72050048, -125095914, 24567816, 67499454, -4213440, -170242202, -302474296, 63860742, -85063104, -61296354, 6613488, -1279200, -21610496, 140590062, -91709392, -67392528, -25302816, -221238028, -730020, 83182788, -8994048, -531066285, -2739960, 199363066, 201346080, -87546564, -84164964, -262460172, -1658880, -783979500, -22482964, -123363432, -73565856, 4494630, -102122712, -77698040, -183758336, -38078586, 31782764, -347917357, -71072064, 95340612, -390444144, 204193944, -752640, 8032640, 49794588, -357802892, 243060192, 145541079, 157478048, 121470706, 15431616, -92600873, 151927832, 2844315, 121623104, -525343209, -55296108, -134724848, -56268800, 26743545, 1713920, -543654670, 6170256, -32231024, -1899960, -308038698, 152898880, 126361519, 47861856, 4072725, -45614688, -72613665, -149062848, 103284048, -39297024, 19447290, -91484700, -1728720, 48484496, 88469913, 102416400, -46564326, 54459968, 42980868, 66980256, 90162760, 2849040, 283252190, 129939936, -51503850, -149137152, 203318640, -2812104, 177224768, -6494720, 322673742, 113921704, -6746235, 7112448, -333458438, -310086608, -68865777, 75334816, 17124415, -57079296, -36080562, 102266880, 64310598, -888720, 337767480, 55736208, 30293360, -5170088, 192795876, -1583488, -325758024, -34423380, -483455112, -26049856, -70924266, 553487800, -165541030, -794880, 80281292, 140088352, -17883828, -40951456, -561367191, 6742080, 197323819, 3442560, 24157314, -48883636, -7348432, -30445632, 406852038, 201541792, -193231548, 7340032, 410211724, -8853516, 7937820, 5522448, -26923428, -303785160, 7816240, 103811328, 181522705, -143152912, -171611343, 168785584, -372733700, 5180760, -62717731, 6635776, -343336176, 16181824, -436165260, 41900544, 208640652, -355599560, -69961563, 6753280, 4958100, -36777564, 451616230, -239843392, 340383654, 27846112, 460302707, 6718464, -284441673, 67938612, 31587192, 7523280, -828345, 8875404, 16751314, 159712384, -114490017, -209853540, -202713153, -55389600, -203692776, -370343672, -13482450, -88936192, -387827612, -32532192, -2800546, 10532864, 254739888, 56777368, 328535004, 98173440, -667614140, 235200, 53014338, -42918848, 680539376, -25119036, -52157448, -72200192, -67494168, 31191160, -119198408, -6941376, -6201000, -69746768, 125898615, -37020480, -79177434, -22312512, 17584000, 335870464, -43891308, -117732608, 187311124, -967680, -416935900, -220406328, 115728642, 10701776, 7835548, 7001316, -665787985, -159880640, 255720312, 3230580, -18952785, 12280320, -188859034, -498520820, -71094996, 48621568, -64585128, -206802144, 208001244, -28954688, -143681040, 19312620, -279018839, 26303616, 526130696, -326308800, -25642827, -30351904, 46605360, -58647456, 313788583, 43663104, -885735, 99959020, -421913748, -43148448, 645575228, -114236824, 140137155, -47581184, -231750106, -122688108, 608933004, 1204560, 86117472, -31958400, -24141684, 7225344, -599374908, -172972128, -45677034, 41628304, 143068709, 173028744, -1008420, -242089344, 253350900, 123943792, 581621186, -27305424, -27176344, -52080140, 248400, 195856128, 111625780, 9518580, 333219980, 139590400, 41245848, 115018176, -542268929, 18239616, -149792014, -66330252, -6647256, 57014048, -21090810, -31655772, -527958259, -2293760, -159664248, -198486840, -158295382, -186693984, -399000040, 169330920, -5332635, 7536000, 482582382, -52651872, -512513946, 334115968, 6947568, 305287168, 237396544, -27350784, -2073680, -174393924, -6410070, 68851776, 476858206, -95561064, -412602762, 7529536, -11383092, -85325064, 468032104, 64763856, -167648408, 9182880, -42248241, 42565632, 260636568, -2099520, 132438152, 5884320, -48886830, -75423544, 456728700, 8531712, -17402670, 194470700, -232569144, 141890048, 137021640, 232486920, -536253498, 32088576, 225382248, -100404080, 27792560, -952560, 370051335, 28258256, -106904106, -80060544, -195088002, -122232636, 20297662, 141612800, 19530639, -768492192, -85076954, -33048576, 312665304, -83036380, 74707938, 22562560, -72182713, -71215200, 408910846, 260392576, -28502271, 3488820, -310180416, -76203072, 458169980, 389212948, 193512645, -29365504, -680598178, -130676184, -406486568, -164886928, 302400, -10620204, 74848333, -49735296, -418076468, 88923296, -73795221, -107081696, -260781092, -46837728, -101277456, -983040, 68925897, -52629056, 35444652, -47597760, 410036900, -15194240, -91147896, 158655616, -74130106, -188751708, 19172265, -5734960, -83922147, -24728256, 499461773, -72223488, 88308146, -726756160, 9001692, -109652320, 156610830, -5611680, -13644720, -42097664, 131405760, -34439944, -189237531, 129431520, -155105412, 424691792, 51385464, -59578368, -3729390, 111160044, 399678432, -66442400, -2004102, 121443772, 167774432, -2257920, 392170554, -260499100, -194359545, 7163520, 547574514, -1006020, -139000358, 87484416, 128518740, 140446840, 59249295, 59529600, 128870257, -96736976, 4356990, 265559040, -61205040, -21618864, -80962392, -200408448, 67775967, 289354144, 719498686, 9289728, -275928384, 5748060, 296940141, 21004144, -59393880, -194719824, 567979520, -47125632, 131386212, -158307184, -75264147, 181946736, 9341085, -210019648, -66960180, -6752768, 571740788, 8398404, 319418372, 134317216, -131331708, -294756160, 139174704, -92635776, 65145304, 542311124, 8547120, 170407856, -149501754, 73303776, 414093484, -53487616, 366847902, 370677000, 144900, 8503056, 554680511, 193068880, 139400100, -9597952, -30759763, -86647536, 506740380, -13301760, 202135986, 3877860, 387170778, -11563776, 26231590, -60689216, 306886995, -289250464, -3827586, -112559868, -160552812, 237090880, 7854570, -135023824, -542030748, 9680832, -10027680, -558092096, 124250760, 8667136, 289916200, -99897480, -77691264, 6372480, 361235682, 293533308, 1382054076, -91378368, 65828900, 75863172, -96973128, -102259520, 269071821, 10327680, 23165910, 36370432, -46854045, -10983728, -541068765, 202471776, -333974424, -253220964, 49476312, -1081920, -476583438, -1224720, -493083618, 119763792, -267520455, -45765792, 9176720, -72345600, -479432434, -224783428, -202348935, -169642816, -15404220, -41439888, 768405873, -3657856, -106761060, -343610520, -96072526, 61536672, -12050619, -63158368, 4380912, 307200, 94410212, 132793776, -303461592, 141298752, 33290514, -613089664, -562484343, -88155648]