# Trace form for 150.6.a.c, downloaded from the LMFDB on 20 April 2024. [0, 1, -4, -9, 16, 0, 36, 233, -64, 81, 0, -498, -144, 809, -932, 0, 256, -1002, -324, -1705, 0, -2097, 1992, 1554, 576, 0, -3236, -729, 3728, 7830, 0, 977, -1024, 4482, 4008, 0, 1296, -4822, 6820, -7281, 0, -8148, 8388, 19469, -7968, 0, -6216, 8418, -2304, 37482, 0, 9018, 12944, 17664, 2916, 0, -14912, 15345, -31320, 35910, 0, 3527, -3908, 18873, 4096, 0, -17928, 57473, -16032, -13986, 0, -7548, -5184, -646, 19288, 0, -27280, -116034, 29124, -22720, 0, 6561, 32592, 11574, -33552, 0, -77876, -70470, 31872, -78960, 0, 188497, 24864, -8793, -33672, 0, 9216, 54593, -149928, -40338, 0, 105552, -36072, -177436, -51776, 0, -70656, -183792, -11664, 169685, 0, 43398, 59648, 263484, -61380, 0, 125280, 65529, -143640, -233466, 0, 86953, -14108, 73332, 15632, 0, -75492, -256912, -16384, -175221, 0, -219048, 71712, -397265, -229892, 0, 64128, 228678, 55944, 339740, 0, -75762, 30192, -402882, 20736, 0, 2584, -337338, -77152, 306450, 0, 198827, 109120, -81162, 464136, 0, -116496, 361283, 90880, -158976, 0, 362082, -26244, 338159, -130368, 0, -46296, 430248, 134208, 283188, 0, -138105, 311504, 603354, 281880, 0, -127488, -323190, 315840, -374370, 0, -232423, -753988, -31743, -99456, 0, 35172, 498996, 134688, -169857, 0, -846198, -36864, -155581, -218372, 0, 599712, -103482, 161352, -140425, 0, -517257, -422208, 1824390, 144288, 0, 709744, 125874, 207104, 849090, 0, -462673, 282624, 67932, 735168, 0, 46656, 227641, -678740, 5814, 0, -810618, -173592, -735271, -238592, 0, -1053936, 967188, 245520, -83695, 0, 1044306, -501120, -873876, -262116, 0, 574560, 204480, 933864, -1060560, 0, -756823, -347812, -59049, 56432, 0, -293328, -1379345, -62528, -104166, 0, -635148, 301968, -773892, 1027648, 0, 65536, 30708, 700884, -1123526, 0, 634230, 876192, -189516, -286848, 0, 1589060, 710640, 919568, 1109970, 0, 211952, -256512, -1696473, -914712, 0, -223776, 1047413, -1358960, 79137, 0, 34002, 303048, -281101, -120768, 0, 1611528, -1898484, -82944, -415853, 0, -491337, -10336, -1558506, 1349352, 0, 308608, 363042, -1225800, 1257186, 0, 4536277, -795308, -949968, -436480, 0, 324648, -839917, -1856544, 1596924, 0, -292698, 465984, 127859, -1445132, 0, -363520, 648048, 635904, -3899340, 0, 1654128, -1448328, 1708410, 104976, 0, -1352636, -1527165, 521472, 1961394, 0, -3393148, 185184, -390582, -1720992, 0, -536832, -1620847, -1132752, -2371356, 0, -486546, 552420, 4817275, -1246016, 0, -2413416, -1286382, -1127520, -2730550, 0, -589761, 509952, -2136486, 1292760, 0, -1263360, 2101194, 1497480, 3264060, 0, 430926, 929692, -782577, 3015952, 0, 126972, -4150777, 397824, -659988, 0, 4115712, -140688, -2142421, -1995984, 0, -538752, 6334470, 679428, -1946995, 0, 2312208, 3384792, 2650524, 147456, 0, 622324, 1576989, 873488, 282540, 0, -1557108, -2398848, 1971432, 413928, 0, -645408, -2620657, 561700, 3575385, 0, -286248, 2069028, 790393, 1688832, 0, -7297560, 2401356, -577152, 4120685, 0, -2058102, -2838976, 8367030, -503496, 0, -828416, -3057660, -3396360, -2379480, 0, -741298, 1850692, 681858, -1130496, 0, -271728, 821791, -2940672, 3625938, 0, -187398, -186624, 6551099, -910564, 0, 2714960, -2649570, -23256, 270065, 0, 3036042, 3242472, 2779344, 694368, 0, 2941084, -2758050, 954368, 7866300, 0, 4057704, 4215744, -1789443, -3868752, 0, -982080, 6233558, 334780, 730458, 0, -4683048, -4177224, -382816, 2004480, 0, 3495504, -1935402, 1048464, 13391209, 0, -3251547, -2298240, -9695562, -817920, 0, -3735456, 1430784, 4242240, -5569170, 0, -3900998, 3027292, -3258738, 1391248, 0, 236196, 4224503, -225728, -3043431, 0, 6962952, 1173312, -7845660, 5517380, 0, 250112, -1758684, 416664, -9295825, 0, -3872232, 2540592, 6341364, -1207872, 0, 3095568, -2548692, -4110592, -7383090, 0, -150518, -262144, 1242945, -122832, 0, -2803536, -4192164, 4494104, -5430186, 0, 4196202, -2536920, -3579421, -3504768, 0, 758064, -978954, 1147392, -4021427, 0, 2908710, -6356240, -6591732, -2842560, 0, -3678272, 3369330, -4439880, -18666036, 0, 4955477, -847808, 2091807, 1026048, 0, 6785892, -5318032, 3658848, 285687, 0, -13350150, 895104, -5293760, -4189652, 0, 5435840, -4257942, -316548, 15750421, 0, -4490964, -136008, -4376166, -1212192, 0, 1124404, 1528713, 483072, 3577170, 0, 1946927, -6446112, 7615782, 7593936, 0, 331776, 6955763, 1663412, 1400229, 0, 2696742, 1965348, -8796672, 41344, 0, 6234024, 2418528, -5397408, -1665785, 0, 931338, -1234432, -9583956, -1452168, 0, 4903200, 1263825, -5028744, -1520700, 0, 3882827, -18145108, 4655313, 3181232, 0, 3799872, -107992, 1745920, -16419510, 0, 6810162, -1298592, 7499234, 3359668, 0, 7426176, -1226952, -6387696, 9513395, 0, -1132866, 1170792, -18397680, -1863936, 0, -511436, -7641810, 5780528, 4831644, 0, -15644923, 1454080, 4164057, -2592192, 0, -2543616, 30322938, 15597360, -611388, 0, -9603948, -6616512, -8243956, 5793312, 0, -6833640, -4073532, -419904, -17883180, 0, -2048769, 5410544, 16819314, 6108660, 0, -2085888, -52326, -7845576, 2878260, 0, 13338602, 13572592, 7295562, -740736, 0, 1562328, 12167820, 6883968, 6617439, 0, -1756446, 2147328, 6373454, 6483388, 0, 4531008, -22720962, 9485424, 12720169, 0, -8704692, 1946184, -15361176, -2209680, 0, -19269100, 753255, 4984064, 14290176, 0, 8050352, 9653664, -9398754, 5145528, 0, 4510080, 8164296, 10922200, 7864884, 0, 7278402, 2359044, 8221510, -2039808, 0, 8545944, 24593616, -5171040, 13749785, 0, -1840320, 5053440, 1518258, -8404776, 0, -5989920, 9545040, -13056240, -9055830, 0, -41342588, -1723704, 6811407, -3718768, 0, 3130308, -22097887, -12063808, 531441, 0, -19507938, -507888, 2073374, 16603108, 0, -1591296, -28621554, 2639952, 14884940, 0, 12414105, -16462848, 25885644, 562752, 0, 8569684, 937494, 7983936, -42823536, 0, -7986448, 2155008, 5716332, -25337880, 0, -2717712, -11556967, 7787980, 6965028, 0, 3167052, -9248832, 39536605, -13539168, 0, -10602096, 29051190, -589824, 8215595, 0, -276372, -2489296, 11970804, -6307956, 0, -3493952, 10111734, -1130160, 13892340, 0, 3758904, 6228432, -5708070, 9595392, 0, -7885728, -17115397, -1655712, 1705644, 0, 61391772, 2581632, 2853343, 10482628, 0, -2246800, -28075332, -14301540, -8434836, 0, -6395760, 1144992, 321708, -8276112, 0, -3161572, -9989730, -6755328, 9908160, 0, 5725727, 29190240, -1907568, -9605424, 0, 2308608, -33194645, -16482740, 15268257, 0, -5965698, 8232408, -19777771, 11355904, 0, -33468120, 20404488, 2013984, -27718270, 0, -9426717, 3313664, -37556964, 12230640, 0, 13585440, -712233, 9517920, -7798410, 0, 40797751, 2965192, -306018, -7402768, 0, -2727432, 20260049, 4521984, 2529909, 0, -7493388, 1086912, 6225539, -3287164, 0, 11762688, 33975708, -14503752, -14728240, 0, 17086356, 749592, -18859416, 746496, 0, -26204396, 3742677, 3642256, 11314560, 0, 46495657, -10859840, 4422033, 10598280, 0, 93024, -18211237, -1080260, 14026554, 0, -7654248, -12144168, -597451, -12969888, 0, -11117376, 2068878, -2777472, -59860496, 0, -3267378, -11764336, -14352690, 11032200, 0, -3817472, -11314674, -31465200, 7649910, 0, -17699328, -16230816, -40826493, -16862976, 0, 7157772, 7833308, 15475008, 8549712, 0, 40813302, 3928320, -5763852, -24934232, 0, -1339120, -51038184, -2921832, 6215795, 0, 7559253, 18732192, -6106332, 16708896, 0, 1531264, -14372316, -8017920, -4648470, 0, -63906810, -13982016, 2634282, 7741608, 0, -4193856, -13360297, -53564836, -1150731, 0, 33256902, 13006188, -12661992, 9192960, 0, 38782248, 42153018, 3271680, -522614, 0, -5832432, 14941824, 22469064, -5723136, 0, -16968960, 35094060, 22276680, 53281974, 0, -27674622, 15603992, -14887152, -12109168, 0, 13034952, -17499952, -5564992, -15375690, 0, 54292002, -944784, 79159420, -16898012, 0, 902912, 25592538, 12173724, 39322080, 0, 13744485, -27851808, -4824876, -4693248, 0, 31382640, -17652546, -22069520, 30254826, 0, 1184477, -1000448, 30538332, 7034736, 0, -1666656, -25817782, 37183300, 3515238, 0, -93871506, 15488928, -35981820, -10162368, 0, -25365456, -30117120, 4831488, -57251515, 0, 14587623, -12382272, -14744166, 10194768, 0, 16442368, 21342204, 29532360, -5420730, 0, 19884227, 602072, 4378914, 1048576, 0, -4971780, -18380480, 491328, -43355475, 0, -21903498, 11214144, 6799949, 16768656, 0, -17976416, -3534054, 21720744, -62929585, 0, 11577438, -16784808, 71402850, 10147680, 0, 14317684, 24574950, 14019072, -59651400, 0, -19926673, -3032256, 5307849, 3915816, 0, -4589568, 46326691, 16085708, 19228374, 0, -58026798, -11634840, -50892991, 25424960, 0, 26366928, -27187314, 11370240, 38881595, 0, -18910746, 14713088, -37756260, -13477320, 0, 17759520, -29376540, 74664144, 9363366, 0, 13081572, -19821908, -3878334, 3391232, 0, -8367228, 40306253, -4104192, 7043193, 0, -74530248, -27143568, 38521769, 21272128, 0, -14635392, 12649818, -1142748, 84178939, 0, 37356993, 53400600, 38710314, -3580416, 0, 21175040, 5939892, 16758608, 66183510, 0, -52564896, -21743360, -37041408, 17031768, 0, 1266192, 58992473, -63001684, 19281789, 0, -61226550, 17963856, -13950121, 544032, 0, 17504664, 58247028, 4848768, 38995805, 0, -57010230, -4497616, 88363128, -6114852, 0, -1932288, 17522955, -14308680, -57587946, 0, 78791047, -7787708, -20809872, 25784448, 0, -30463128, -4711094, -30375744, -23854716, 0, 6659502, -1327104, -77955511, -27823052, 0, -6653648, -63878640, -5600916, -6013535, 0, -14192901, -10786968, -17975316, -7861392, 0, 35186688, -2542860, -165376, 100247784, 0, 67902377, -24936096, 14013972, -9674112, 0, 21589632, 91528416, 6663140, -17742888, 0, -79934598, -3725352, 65982804, 4937728, 0, 38335824, 5713278, 5808672, -63798840, 0, 23585913, -19612800, 20123694, -5055300, 0, 20114976, -32178465, 6082800, -84503130, 0, -54430498, -15531308, 2576232, 72580432, 0, -18621252, 7563096, -12724928, -7113537, 0, 140581482, -15199488, -13864666, 431968, 0, -6983680, -8554302, 65678040, 27449856, 0, -21612204, -27240648, 34611954, 5194368, 0, -29996936, -37086165, -13438672, -10520220, 0, 15967652, -29704704, 18522918, 4907808, 0, 25550784, -57940822, -38053580, -75303270, 0, 647292, 4531464, -131215032, -4683168, 0, 73590720, 152442270, 7455744, 15375650, 0, 27518940, 2045744, -87228210, 30567240, 0, -23122112, 21415320, -19326576, 24255660, 0, 44165737, 62579692, 6671682, -5816320, 0, -16656228, -54154559, 10368768, -6136722, 0, -7960596, 10174464, -97991465, -121291752, 0, -62389440, -66523962, 2445552, 91841855, 0, -7396119, 38415792, -30394026, 26466048, 0, 32975824, -32633442, -23173248, -98866860, 0, 28179377, 27334560, 1686582, 16294128, 0, 1679616, -20312557, 71532720, -58959891, 0, 105575802, 8195076, -30789211, -21642176, 0, -67277256, 13960308, -24434640, 116266068, 0, 23846130, 8343552, 85391568, 209304, 0, 31382304, -2430585, -11513040, -55098030, 0, -62128498, -53354408, -27324378, -54290368, 0, -29182248, -97313287, 2962944, -25014096, 0, 36900804, -6249312, 19021213, -48671280, 0, -27535872, -197164134, -26469756, -143545724, 0, 24822450, 7025784, 22765440, -8589312, 0, -25493816, -70796700, -25933552, 12869340, 0, -36250373, -18124032, -36519336, 90883848, 0, -37941696, 55804140, -50880676, 16104987, 0, -77074698, 34818768, 65912940, -7784736, 0, 61444704, 78717348, 8838720, -46092273, 0, -56102022, 77076400, 27486354, -3013020, 0, -19936256, -6574122, -57160704, -24111306, 0, 79555277, -32201408, 42147432, -38614656, 0, 37595016, 1101430, -20582112, 3445344, 0, -148687728, -18040320, -32719025, -32657184, 0, -43688800, 127942176, -31459536, 53323475, 0, 17418618, -29113608, 5480958, -9436176, 0, -32886040, -120520881, 8159232, 85010610, 0, -11597148, -34183776, 29263923, -98374464, 0, 20684160, 137275165, -54999140, 87260058, 0, 293484060, 7361280, 20907704, -20213760, 0, -6073032, -53297412, 33619104, -57429445, 0, -12877056, 23959680, -96427026, -38180160, 0, 52224960, 50122530, 36223320, 18955890, 0, 109085904, 165370352, 35108982, 6894816, 0, -27245628, -11090857, 14875072, 29328642, 0, -125778498, -12521232, -39018211, 88391548, 0, 48255232, 8224386, -2125764, 16223060, 0, -38020527, 78031752, 197837970, 2031552, 0, -8293496, 27390879, -66412432, 213158556, 0, 55585427, 6365184, -62666568, 114486216, 0, -10559808, -107802809, -59539760, 70610940, 0, -89881098, -49656420, 89859524, 65851392, 0, -103542576, 10843128, -2251008, 132430490, 0, 15828156, -34278736, 12829944, -3749976, 0, -31935744, 83662425, 171294144, -41388750, 0, 38737600, 31945792, 34850088, -8620032, 0, -22865328, -113881644, 101351520, -57072276, 0, 89699952, 10870848, 79117920, 46227868, 0, -31151920, 39289656, -27860112, 36619914, 0, 22938228, -12668208, -37054146, 36995328, 0, -158146420, 66447810, 54156672, -169190520, 0, -29639023, 42408384, 1354662, -116204760, 0, 2359296, 138309120, -32862380, -11186505, 0, 89313042, 1105488, 147317519, 9957184, 0, -47883216, -188873994, 25231824, -17285425, 0, 37729476, 13975808, -19431786, -40446936, 0, 4520640, 48871674, -55569360, -49978890, 0, -171318143, -15035616, -37765818, -24913728, 0, 22832280, -24761677, -38381568, 32214789, 0, 56973702, 31542912, 70344977, 68461588, 0, 6622848, -19733670, -6822576, -79190095, 0, 8810586, -245567088, -23461026, -10326528, 0, -11413372, 36192843, -41930512, 225354804, 0, -93879518, 8987200, -26178390, 112301328, 0, 57206160, -47482282, 33739344, 59325588, 0, -59253498, 25583040, -19500935, -4579968, 0, -1286832, -5358492, 33104448, 104222885, 0, -30323970, 12646288, 22952334, 39958920, 0, 27021312, 167994324, -39632640, -106617180, 0, 16792277, -22902908, -44599293, -116760960, 0, 7630272, 168619388, 38421696, -18826263, 0, -203613108, -9234432, -11729592, 132778580, 0, 65930960, -41640072, -61073028, -152612100, 0, 47862288, 23862792, 17257728, -32929632, 0, 79111084, -2571183, -45423616, -54702186, 0, -207841808, 133872480, 120151350, -81617952, 0, -8055936, -69247042, 110873080, 47643840, 0, -99015846, 37706868, 98371709, -13254656, 0, 150227856, 217025298, -48922560, -69541930, 0, 38321478, -54341760, -247110480, 2848932, 0, -38071680, -141753789, 31193640, -1003884, 0, -49466297, -163191004, 40418676, -11860768, 0, 1224072, -176339759, 29611072, 39385494, 0, 134626800, 10909728, 69736019, -81040196, 0, -18087936, 157857018, -10119636, -183884800, 0, -13758417, 29973552, -177209832, -4347648, 0, -24902156, -32194530, 13148656, 183377010, 0, 281175300, -47050752, -17522343, -135902832, 0, 58015008, -105763104, 58912960, -68542038, 0, -43332048, -68345424, 198304604, -2998368, 0, 75437664, -179918934, -2985984, -321387385, 0, -62601867, 104817584, -82170126, -14970708, 0, -14569024, -12602061, -45258240, -40591596, 0, -14451973, -185982628, -24270678, 43439360, 0, -17688132, 34338368, -42393120, 79170048, 0, 177790872, -372096, -127178086, 72844948, 0, 4321040, -147989484, -56106216, -153204715, 0, -21766752, 30616992, -158633412, 48576672, 0, 2389804, 14992065, 51879552, 27616410, 0, -180316836, 44469504, -8382042, -8275512, 0, 11109888, 140142713, 239441984, 86255604, 0, 185000502, 13069512, -179432851, 47057344, 0, 57410760, -3323922, -44128800, -19133485, 0, -11374425, 15269888, -168403182, 45258696, 0, 125860800, 13686300, -30599640, 7154964, 0, -17143273, 70797312, -34945443, 64923264, 0, 163305972, 274849660, 67451904, -41897817, 0, 70184952, -28631088, -180738204, -31333232, 0, -61900032, -35306880, -34198848, 184159584, 0, 971928, -163253208, -190771596, -15713280, 0, 23055408, 147775590, 99736928, 35084070, 0, -129009448, 5356480, -61291458, 204152736, 0, 11687328, -214263504, -24863180, -67493106, 0, -44157228, -30237012, -93081065, -74928768, 0, 24425328, -157601682, -66835584, 232033518, 0, 11042568, -6125056, -170024370, 57489264, 0, 32071680, -85620555, 18593880, -141027624, 0, 147121727, 255627240, 10195794, 55928064, 0, -10537128, -224738677, -30966432, 165579120, 0, 32945202, 16775424, 122350529, 53441188, 0, 214259344, 177454788, 4602924, -110873920, 0, 68776290, -133027608, 258623010, -52024752, 0, 50647968, -43484796, -36771840, -131654460, 0, 3445879, -155128992, 140804307, -168612072, 0, -13086720, 49384816, 2090456, -37476513, 0, -171008598, 23329728, -300470292, -59767296, 0, -89876256, 312218508, 22892544, 17985996, 0, -272906442, 67875840, -10400316, -140376240, 0, -89106720, 5502492, -213127896, -179966160, 0, -264010968, 110698488, 86435532, -62415968, 0, 59548608, -68589864, 48436672, 74195604, 0, 152975952, -52139808, 243326999, 69999808, 0, 22259968, 247918050, 61502760, 244047229, 0, 36661788, -217168008, 450013590, 3779136, 0, -316637680, 160948620, 67592048, -275657100, 0, 21321377, -3611648, 18438921, -102370152, 0, -48694896, 302528380, -157288320, -151373826, 0, -85175808, -54977940, 160851043, 111407232, 0, 19299504, 7922466, 18772992, 186436260, 0, 470934, -125530560, 35124204, 70610184, 0, 88278080, -25904340, -121019304, 256924230, 0, -65496533, -4737908, -120047418, 4001792, 0, -122153328, -272294572, -28138944, -65660058, 0, 115746654, 6666624, 109449494, 103271128, 0, -148733200, -63503532, -14060952, 10593125, 0, -109510380, 375486024, -171314286, -61955712, 0, 143927280, -59556951, 40649472, -305403336, 0, 61919252, 101461824, 15808014, 120468480, 0, -19325952, 262064573, 229006060, -57361086, 0, 163890042, -58350492, -96893749, 49529088, 0, 58976664, -263384412, -40779072, 293125205, 0, 204488658, -65769472, 313365360, -85368816, 0, -118129440, -114481521, 21682920, 285982440, 0, 292277947, -79536908, 78342228, -2408288, 0, -17515656, -122703840, -4194304, 138250584, 0, -363131898, 19887120, 97017014, 73521920, 0, -1965312, -87126906, 173421900, -59100840, 0, -6779295, 87613992, -204969666, -44856576, 0, -27199796, -128611584, -67074624, -230068380, 0, -289312925, 71905664, -72453168, 14136216, 0, -86882976, 56151121, 251718340, 84588786, 0, 15998652, -46309752, 188645249, 67139232, 0, -285611400, -115148022, -40590720, 87705665, 0, -73478664, -57270736, 292924338, -98299800, 0, -56076288, -70783956, 238605600, -103492650, 0, 421406604, 79706692, -65505618, 12129024, 0, -21231396, 729737058, -15663264, -73993590, 0, -60843348, 18358272, 255807209, -185306764, 0, -64342832, -5058180, -76913496, 273570631, 0, -221342544, 232107192, 77479338, 46539360, 0, 203571964, -123748065, -101699840, -142032870, 0, 367821752, -105467712, 16562880, 108749256, 0, -45480960, -390665197, -155526380, -13664322, 0, -387946248, 75642984, -166831831, -58852352, 0, 151025040, -449240220, 53909280, -195700661, 0, -85905360, -71038080, 331138314, 117506160, 0, -298656576, 81502470, -37453464, 257425824, 0, -179841598, -52326288, 372083292, 79287632, 0, 15513336, 51534036, -13564928, -61302663, 0, 348070632, 33468912, -143926272, -161225012, 0, 16416768, -68198634, -28172772, 327243455, 0, 198880983, 298120992, -173158020, 108574272, 0, -154087076, -4782969, -85088512, 69931650, 0, 29791147, 58541568, 175571442, -50599272, 0, 4570992, -71276945, -336715756, -18660366, 0, -7374396, -149427972, -94169761, -213602400, 0, -154841256, 259615158, 14321664, -158482283, 0, 257593986, -84700160, 152032284, -23759568, 0, -67034432, -133964460, -264734040, 150995184, 0, 135306077, 210259584, -111726945, 86973440, 0, 148165632, 219486096, -68127072, -232970796, 0, 84837522, -5064768, -908546220, -235969892, 0, 252006736, -15249522, -77127156, 398660765, 0, -8437446, 244906200, -227271606, -71855424, 0, 55800484, 385411824, -2176128, 488113386, 0, 172331927, -70018656, 71878032, -232988112, 0, -19395072, -17007194, -155983220, -51446988, 0, 398059530, 228040920, -631142, 17990464, 0, -353452512, 257038548, 24459408, -36968305, 0, 104012703, 7729152, -287445696, -70091820, 0, 57234720, -62685252, 230351784, 343900416, 0, -458688523, -315164188, -28503468, 31150832, 0, 83239488, 83019728, -103137792, -355829445, 0, -177897600, 121852512, -7606081, 18844376, 0, 121502976, 92905668, 95418864, -148254865, 0, -261460710, -26638008, 315523476, 5308416, 0, 311822044, -73940355, 111292208, -83794290, 0, 148024727, 26614592, 2487348, 255514560, 0, 22403664, -790603484, 24054140, -107737236, 0, 230411154, 56771604, 164027808, 43147872, 0, 71901264, -302865330, 31445568, -229135356, 0, -91005606, -140746752, 115504674, 10171440, 0, 661504, -125031060, -400991136, -383967210, 0, -308664523, -271609508, -33830136, 99744384, 0, -56055888, 244916543, 38696448, 51372630, 0, -347094048, -86358528, -188030207, -366113664, 0, -26652560, -339877692, 70971552, -377657351, 0, 154038573, 319738392, -340419480, 14901408, 0, -263931216, -15350796, -19750912, -275735544, 0, 382366127, -153343296, -552525948, -22853112, 0, -23234688, -248071462, 255195360, -25680087, 0, 337593402, -94343652, 61594499, 78451200, 0, -80494776, -113365218, 20221200, 116210915, 0, 252677988, -80459904, -508037106, 128713860, 0, -24331200, 75913524, 338012520, 48474300, 0, 492465101, 217721992, 57561840, 62125232, 0, -10304928, 90624420, -290321728, -2895372, 0, -440394498, 74485008, 438034960, -30252384, 0, 50899712, 150508998, 28454148, -292594680, 0, 89907570, -562325928, 410244954, 60797952, 0, 55458664, -89173440, -1727872, -299727006, 0, 403687764, 27934720, -51531543, 34217208, 0, -262712160, 481947803, -109799424, 17168112, 0, -46724898, 86448816, -636218150, 108962592, 0, -138447816, 190160118, -20777472, -22197440, 0, 298751805, 119987744, 366164958, 148344660, 0, 53754688, -137414313, 42080880, 237393960, 0, -285612768, -63870608, 53691282, 118818816, 0, -74091672, 44209748, -19631232, 177999939, 0, -497801238, -102203136, 345412979, 231763288, 0, 152214320, -431324712, 301213080, -277134806, 0, -183640392, -2589168, -684574182, -18125856, 0, 524860128, 249464430, 18732672, 373476840, 0, 148695552, -294362880, 84840453, -609769080, 0, -29822976, -481659624, -61502600, 338012676, 0, -28737996, -110075760, 240296564, -8182976, 0, 348912840, 263690490, -122268960, -125865029, 0, 6410097, 92488448, 760525980, -85661280, 0, 77306304, 70185690, -97022640, 41680110, 0, -235860073, -176662948, -367179759, -250318768, 0, -26686728, 100405758, 23265280, 2754162, 0, -86819748, 66624912, -307062900, 216618236, 0, -41475072, 699131790, 24546888, 239991665, 0, -182340441, 31842384, 326196294, -40697856, 0, 391965860, -22769181, 485167008, -289656300, 0, -41227048, 249557760, 67440492, 266095848, 0, -9782208, 524315633, -367367420, -56029851, 0, -83716938, 29584476, 435190248, -153663168, 0, 121576104, -199224654, -105864192, -967131041, 0, -305781372, -131903296, 11307798, 130533768, 0, 92692992, 132554160, 395467440, -173296620, 0, -618256800, -112717508, -153777204, -109338240, 0, -6746328, -113603825, -65176512, 169734744, 0, -627877398, -6718464, 391845719, 81250228, 0, -286130880, 662082048, 235839564, 409454136, 0, -33684093, -422303208, -389895990, -32780304, 0, 123156844, -101831040, 86568704, -298910940, 0, -499184093, 269109024, -418460913, -55841232, 0, 97738560, -209695627, -465064272, -39798297, 0, -3082098, -95384520, 68667163, -33374208, 0, -341566272, 36396456, -837216, 528158880, 0, 163901133, -125529216, 580744674, 9722340, 0, 46052160, -126238986, 220392120, 1475931510, 0, -579256700, 248513992, 68888232, 213417632, 0, 109297512, -170658232, 217161472, 5377059, 0, 376897854, 116728992, -453649835, 389253148, 0, -11851776, 251415708, 100056384, 351912860, 0, -18619902, -147603216, 163214634, 24997248, 0, -76084852, 538744464, 194685120, -362005566, 0, 124799177, 110143488, 29406402, 788656536, 0, 105879024, -332576362, 574182896, 129174210, 0, 617572092, -99289800, -120667876, -28103136, 0, -91061760, 621820878, 34357248, -483117235, 0, 101832066, 101975264, 139522644, 283186800, 0, 103734208, -68849190, -51477360, 199803600, 0, 3115012, 145001492, 159293952, 72496128, 0, 146077344, -235955767, -363535392, 367438437, 0, 219589602, 151766784, -254892391, -223216560, 0, 203522704, 686913810, -64419948, -205868455, 0, -70499772, 308298792, 65831820, -139275072, 0, -263651760, -76947408, 31138944, 650155080, 0, -314475223, -245778816, -367319718, -314869392, 0, -35354880, -362806164, 184369092, 51874668, 0, -673427148, 224408088, -374302457, -308305600, 0, -109945416, -468290004, 12052080, 119413250, 0, 459343656, 79745024, -395588736, 26296488, 0, 228642816, -55942155, 96445224, -77143920, 0, 316303704, -318221108, -68033277, 128805632, 0, -168589728, -498457777, 154458624, 54956988, 0, -338835318, -150380064, 302290380, -4405720, 0, 82328448, -295414512, -13781376, -610613081, 0, 129350844, 594750912, 135124962, 72161280, 0, 130876100, 41836230, 130628736, -662479560, 0, -576815848, 174755200, 575161290, -511768704, 0, 125838144, -124269607, -213293900, -23708538, 0, 767623452, -69674472, -150086161, 116454432, 0, -21923832, -66695784, 37744704, -106178597, 0, 120242673, 131544160, 427463190, 482083524, 0, -32636928, 10356579, -340042440, -54821580, 0, 184161569, 46388592, -299312118, 136735104, 0, -117055692, -15292584, 393497856, 113957928, 0, -522497250, -82736640, 589479599, -549100660, 0, 219996560, -428591172, -349040232, -431108496, 0, -379377162, -1173936240, -376140006, -29445120, 0, -83630816, 4703526, 80855040, 559515948, 0, -162501673, 24292128, 52491888, 213189648, 0, -134476416, 765522533, 229717780, -202221576, 0, -324894948, 51508224, 960119605, -95838720, 0, 385708104, 29690286, 152720640, -339000035, 0, -315846540, -208899840, -283754376, -200490120, 0, -144893280, -479537766, -75823560, 188473530, 0, 1118941837, -436343616, 249071598, -661481408, 0, -140435928, 610758503, -27579264, 133984368, 0, 1345978620, 108982512, 94378968, 44363428, 0, -59500288, 441217668, -117314568, -594834239, 0, 157499568, 503113992, -296044536, 50084928, 0, 156072844, 138381210, -353566192, -48468240, 0, 61501104, -193020928, -488628018, -32897544, 0, 8503056, 19776023, -64892240, -712434780, 0, -399241248, 152082108, 109555840, -312127008, 0, -791351880, -162355362, -8126208, 826472160, 0, -230332842, 33173984, -554418840, -109563516, 0, 265649728, -353898720, -852634224, 315429090, 0, -604560708, -222341708, -123700365, -25460736, 0, 250666272, -172722434, -457944864, 43423884, 0, 782455092, 42239232, -13749586, 431211236, 0, 238159040, 366145908, -282443760, -552765060, 0, 158872914, 359524392, -204381516, 198625680, 0, -359438096, -272293434, -263405568, -364501680, 0, -55223623, 414170304, -10660293, -43372512, 0, 9004032, -67709255, -529721960, -274844988, 0, -105552096, -63312624, -615987515, 137114944, 0, -51319776, -1389323880, 14999904, 132199014, 0, 232360038, 127742976, 5263608, -334649700, 0, -685176576, -31637142, 165555000, -550333050, 0]