# Trace form for 363.8.a.r, downloaded from the LMFDB on 20 September 2025.
[0, 14, 23, 378, 845, 69, 621, 3278, 4602, 10206, 5320, 0, 22815, 32188, -7794, 1863, 86137, 42917, 16767, 50419, 54475, 88506, 0, -83492, 124254, 336991, 234897, 275562, 697184, 227028, 143640, -36481, 151749, 0, -614562, -258783, 616005, 634524, -662891, 869076, 1585604, 1286544, -210438, 2632644, 0, 50301, 1290627, -1692245, 2325699, 842030, 7870914, 1158759, 6419781, 1211317, 452709, 0, -9100953, 1361313, -6265711, 2551943, 1470825, 10221163, 5723657, 2389662, 6349332, 7684087, 0, -3570631, 13112925, -2254284, 3559265, 4528437, 3354858, 13052276, 4896205, 9098757, 9845214, 0, 6342219, 14911090, -9395382, 7440174, 17478001, 7068900, 18823968, 24423120, 12792479, 6129756, 0, 4800832, 3878280, -15295476, -3195753, -984987, -43320002, 7614177, 4097223, -11578773, -70266089, 0, 49888093, 15754860, -16593174, -11029752, 117465032, -6987141, 22870417, -14425844, 16632135, 25399484, 0, 17132148, 61373072, -17670774, -17898057, 51668625, -19724915, 23465052, 73551568, -78333495, 42811308, 0, -50829105, 34736688, -63948254, 13783062, -5681826, 3283662, 22934255, 71081388, -186988213, -28450731, 0, 61124459, 62582569, 1358127, -18653667, 129825912, 34846929, 202409843, -76632192, -45690615, 192128379, 0, 62793873, 204425524, 48951163, 22734810, 260694373, 89187384, 212514678, 137249684, -379747833, 31286493, 0, -189643068, 173334087, 38160110, 97204228, 32705559, 352631799, 224886780, 12223143, -241191005, 200579593, 0, 64300842, 309045669, -245725731, 220158316, 709308597, 36755451, 953919795, 264056307, -169174197, 370546833, 0, 68902461, 86124749, -98634324, 39712275, 215950894, 241096623, 275971401, 527051708, -272798723, 154538739, 0, 251549175, 64520874, -984167588, -67312104, 171431964, 166296527, 655306794, 207470349, -132879609, 818544027, 0, -198998584, 520152042, -96407037, -70172386, 670795368, 354048975, 974936907, 89531025, -60865668, 571794999, 0, 96100155, 621151667, -692174260, 122267799, 419199668, 471150869, 90581166, 906707325, 154689348, 352411452, 0, -582926551, 132197535, -150422888, -651905430, 245666439, 558394187, 667806506, 265820778, -232285260, -678774903, 0, -525828779, 895353507, 171239913, -925758612, 1315290499, 402599430, 225527654, 331342821, -253675314, 875296076, 0, 200884698, 1482727252, -504603702, 471906027, 332214337, -548489112, 190860300, 274257413, 285511701, 508247136, 0, 1927256802, 659424240, -389366703, -681472695, 345396933, 351112820, 866773632, 165503412, -1052303489, -474318223, 0, -602812160, -1276823853, 129622464, 401418664, 171473032, 104713560, 1552417065, 303837006, -412977852, -613886621, 0, -86285331, 757167523, -1289705930, -26594649, 415326527, 579949470, -1169640054, 18791122, -138373770, 205582779, 0, 287161644, 110625021, 715603149, -386927627, -312626871, -1797326431, 479835600, -1897184403, -23078037, -2157344338, 0, -166421184, -353124878, 1346978511, 2873651992, 198146123, 425381220, -3470880785, -110921565, -448015698, 592784079, 0, -297803304, -4280613833, 548990696, 3171555864, -2589355372, -5032459314, -188652807, -1273918946, 149961912, 617501259, 0, 1531238144, -389497788, 3250894309, -3036929180, 449067645, 1474165387, -2091542262, 685786068, -218648092, -1125567345, 0, -727061736, -2753149776, 462567996, 2389204555, -506976309, 1657072944, -133826282, -3380835006, -477110898, -266534951, 0, -483247539, 1517466610, 2439475816, 1395052875, -5963098044, -299823330, -532572705, 85284416, 3685360083, 633556404, 0, -1873288920, 1985892336, 1110282733, -2041375795, -2115004365, -1430617458, -2577504210, 1155905316, 3012772813, -6725013603, 0, -1219026969, -2871596864, -1372385835, -829112377, -3491648631, 937890576, -7248588157, -5267676453, -1726602858, 1231647718, 0, 372142674, -6306611653, 530831908, -153409302, -800217602, -12675243625, 88658874, 569542987, 10223058312, 619224885, 0, 3093956987, 1919197476, 3672493693, -3445666887, -5048681751, 1772627115, -17387009553, -768169737, -3176959597, -13911704741, 0, -950345136, -9993085142, 1650360393, 1665738564, -1058910983, 1689729363, -3969057637, -9935988342, 36669429, -254218274, 0, -503649009, -3047339666, 4296373843, 3505299624, -12068265827, -256359747, 940867083, -1279469483, 15655055657, 5465065761, 0, -3214326143, -2069069184, -6611093521, -14846207284, -1233646605, 1073240198, -10381419576, 5187466233, 10807546639, -16345202974, 0, 3442063681, -7896521341, 1695434571, 2307587010, 4600497423, 5519489148, -2999679804, -4601860249, 1321681401, 3356435832, 0, 613839870, 3631267220, -1367403600, 7038748071, -12108814549, -15905642028, 2408059368, 3535617139, 7587729296, 5737896306, 0, -4336777323, 3705741468, 13098676972, -9632859045, -10253191491, 3193347597, -9679256458, 844735311, -4377297524, -3968581949, 0, 4784432813, -13861462719, -5120362836, -156123975, 511005540, 4680020349, 852710093, -19328606229, 1030322970, 11627138844, 0, 2624514156, 3358793677, 11637744429, 883050093, -6111731398, 2330733243, 9521058573, 9961891282, -9312620457, 6071943060, 0, -16545513227, 330024861, -11457739760, -18061078893, -6512157135, 2421438152, -3666257081, 5415649011, -1792031222, -24585042981, 0, -4337294295, -16529970243, 1736122734, 11436441753, 10298787415, 8344233063, 409958733, -4142231866, -6634594737, 6130781557, 0, 5944274532, 7154821564, -2446143837, 19151332119, -6896122990, -24212221278, 992397177, -16274784843, 6103533318, 25755834465, 0, -3987897363, 7129520289, 14294968595, -9594619380, -4567703319, 10935682313, -25914865740, 10004764491, -20695275015, -18513691123, 0, 2419537112, -21367998181, 1860366447, 24284603384, 14328423982, 2325368223, 17594560309, -13324329489, -2663126748, 21018734902, 0, 1072231425, 5818292185, 7599618807, 5830674138, -454687577, -11548289676, 6509608821, 13855813699, 436245767, 7451227827, 0, 8899549206, 14230396116, -24354853558, -18576979418, -7365565521, 16633873239, 6112326103, 4172545953, -815281126, -47850356133, 0, 9914316214, 1171502172, 6791827725, 15984903031, 38855516016, 1742063598, 28918238443, -8753287474, -26572524876, 31276741795, 0, -1817426808, 8605110583, -23835352731, 4628663028, 5754357224, -35764463034, 4490006229, 6438576171, 3438690618, 17693283438, 0, 7165585043, 5601699423, 27292032972, -25885217786, -3587749443, 26236587116, -2023177328, 22100688729, -28870767929, -22342820009, 0, 4531890800, 22739182272, -5372961768, 3728586263, 26640207882, 14044105134, 18821807724, -32332408467, -2602989999, 1994092471, 0, -1894654422, 33732955249, -20056607640, 18111474936, 38260506384, 7972248775, 9559322325, 30515998838, -13713016940, 26323296489, 0, -19372256412, 2417337675, -10940348404, -64607251613, -1643373036, -16301176495, 36393479004, 15438464973, 18124520844, -12466626224, 0, 25352258620, -8190186069, 2594704185, 25205550191, 36334035725, 16771095009, 20214560537, 38992800606, -18688705020, 11117840904, 0, 3301230573, 48545477904, -6811626127, 11318391036, 11960323959, -51377855547, 12721073463, -5140102325, 36501841213, 2445691482, 0, 25598954439, 24481097775, -31259825557, -11038554857, 4176612396, 53212345024, 26222393463, 9515109204, -46513767690, 16138095128, 0, -26830987715, 6942042527, -15739016877, 20628603923, 42411822129, 3569333445, 27308689508, 45141364990, -4061417976, -5358065862, 0, -17601446610, 26837854020, -28765809538, 6632993853, 29041019034, -1525803204, 15076643049, 60012421457, 21081138998, 18030775662, 0, -1156176630, 7177161006, -19064633255, -47096596515, -6271702020, 62739033389, 23797021869, -18326922381, 21643089874, -25305557983, 0, 24867946403, 12453377022, -14197377033, 36112969069, 20251069567, 24174544689, 20603869286, 19367215209, 4623477651, 70069268735, 0, -24995482524, 37888254026, -31591501032, 35512843473, 62016038939, -37467458622, 10870184610, -2549302736, 68204247805, 6089246658, 0, 37160886020, 8946256167, -16134836342, -9077357436, -6849233478, 44028325198, 10577402589, 23632994052, -71929049729, 18434002182, 0, -16277062901, 31941981366, 5423886846, 29757896583, 37318413411, 40033635804, 55871650930, -34342332402, -13624299954, 50077154371, 0, 12741462729, 49679416974, -11284192762, 8969787099, -12449967647, 92320753398, -14809206024, -6416248627, -68759034639, 5153228100, 0, -67269068166, 7404950151, -23570850885, -5594077122, 7708815927, -63617958824, 66789489168, 13722672672, 14417196242, -16559504757, 0, -52794320825, -49012060708, 52035933654, -14143777076, 3635517331, 17804454480, -16808925933, 34689976851, -10512900981, 52388803161, 0, -18399762765, -61031179662, -24369547860, 9325717191, -28040108948, -64550472244, 9480046140, 5332368250, 41868719025, 23402888064, 0, 69932354780, 4468592124, 49887484131, 23926226094, -28412194203, 92811736658, 56623826048, -12806592021, -104757737432, 14390985966, 0, -25891966395, -62707224565, -16275928320, -21257561786, 15152638754, -34474244031, 20543640873, -53105746443, 3499806528, -29253864822, 0, 10838303928, 43145025961, 28793209128, 4629771864, -88995567249, 26941697653, 2827266120, 81451688687, -30078481710, 41915260755, 0, -7357510284, 8203599162, 54444534183, -15932163139, -11150402004, -88375525348, -59969814204, -16574938767, 35556050798, -150838361175, 0, 110290095588, 1044635112, -2329703937, -1888252717, -21077187036, 20443523121, -133396165218, -9925059998, -34822060110, 3617090691, 0, -718055523, -149902037230, 46917293862, 11213816229, -39781947104, -160165677011, 15658635690, -127586980407, 88360791064, -31580281458, 0, 23698560093, 507360294, 34803927581, -48351651030, -3736091790, -23514787498, -191553902865, 5550735033, -6989349943, -16888468680, 0, -70821597534, -115838511680, 7753364388, -30733469828, -105369200520, 2986875567, -81460659389, -237517313769, 19321285023, -85064983860, 0, -10447045929, -5573188001, 90364641840, -8440925517, -6074196519, 62444034348, -48527813637, 37492888534, -127997410232, 12955561200, 0, -40396581759, -51223978881, -1088923128, -30994808917, -623106999, -179725542419, -101587668336, -58248297126, 45697735398, -111108881467, 0, 73542784360, 75871532744, -4493371968, -63304937927, -79503952092, -9534371706, -103281398714, 18645863694, 36368419797, -68905764441, 0, 77588603784, -115160422508, 70033529905, 5349945321, -58462830659, -85195818596, 11485292940, -250291119709, 64293726360, -93713781195, 0, -55169849829, -2994882255, 14109677038, -39164208201, -12096423846, 68949195468, -212115076427, 16005170133, 172599898635, 64351322259, 0, -27412751411, -104917940235, -8040689208, -9554501313, -4689716568, -115576573491, 34563737234, -38034384890, 14822748792, -95428962670, 0, 85632008328, -12993580490, 16147205625, -69912595044, -299624046369, -13737066883, -135876401478, 64663927430, -35415326238, -5093625789, 0, 51788753811, -34395811542, -9869814458, 55788964080, 4048971624, -209436838747, -80651542370, 16672533993, 203948787203, -30700825563, 0, 13605307244, 17673535032, 41343429888, -8686935969, -119093213929, -10516440276, -96753979743, -41989657446, 87774146343, 3583091389, 0, -81997087860, -229969414603, -59095421348, 12124826415, 75879365511, 72159679636, 39802465449, 113081263313, 100245350604, -56471641074, 0, -166829807626, 18516223836, 107260400938, -27878700112, -5903498484, 111768987736, -34548261780, -30390318315, -38917091918, 85700699490, 0, 27618430497, -89443402926, -19630666872, 59883084477, -217455986085, -74335043952, -46387818513, 104255097513, 12489335892, -150109575136, 0, 64508522985, 41988656572, 102448215590, -13688360343, -40801580806, 73401288320, 44740969488, -49251328735, 60080067672, -3613309614, 0, -116920113174, -91282545162, 8453772382, 386245910082, -12881994246, -72285878709, 14908072659, -7196443677, 201272867949, 125863191234, 0, -159456507371, 12492312159, -13047683553, -82336039112, -58916487448, 40971598470, -80374709738, 75473785319, 65865847032, 7099741376, 0, 37666427625, -28576054895, 41555545134, -161003647188, -10745169936, 267594876033, -8095229910, -189416659568, 97172456742, -14379463035, 0, 179334286612, 2302679232, -55678639862, 232539799788, 99504722241, -73761011898, -12023227868, 17106022908, -3639047693, 31465331016, 0, -138808417708, 121919725908, -50578800840, -133212985081, -113410767588, 53619093072, 146012213994, 51264384597, 29977633791, -52478864299, 0, -55117146465, 106622648682, 91548120011, -57105117855, -82708998353, 129343298080, -38626671366, 193441808193, -153726737338, -69592613670, 0, 47846102724, 31209443532, -94895992235, 243017720795, 81344865951, 169991295230, -41768297040, -181575367281, 21355592016, 344090360973, 0, -19115998682, -29419880142, -32913728163, 93493174106, 306218714670, -77533115328, 15129989516, -81520123389, -37054417545, -99180124950, 0, -22386034179, -115868997784, -48843159191, -94274513037, 139948950222, 281058345261, 25323045552, 18477990503, -208699022095, -195711880239, 0, -16410664371, -142227264231, 36165608354, 173600668173, -46618277166, -27634724962, 463018177831, 33254488386, 178111681730, 179904928873, 0, 179259220347, 429894592796, 10047852198, -314672993493, -264531800956, -170278514631, -103887729335, 300052967901, 14332461516, -146325107678, 0, -4142051154, -137092654257, 29794586625, -21605875254, -161078358886, 54021440680, -342231577875, -223465818629, -216264837117, 2393789598, 0, -175542611550, 15377660649, -34076893691, 322243736163, 276022574424, -319316440195, 50112840597, 16719071895, -80381689133, 400946835609, 0, -105580145359, 109119082230, 83536838649, -53611996127, 128918133231, 51818331852, -168240871737, 191366123512, 99157329711, -205712339989, 0, -93033005949, -6126407045, 77065412229, -136314407277, 361685842406, 228012893716, 47860932105, 231666476610, -239056986636, -469449257931, 0, 358086811741, -20740582899, -44848175459, 761589152, -85777909119, -142739771220, 425396083133, -375616028007, -276432814583, 180445658787, 0, -100206181704, 608056563309, -25659318672, -336329954833, -292588585419, -269813298834, 18875492764, 370636931521, 44559730611, 55203972026, 0, 44974941228, 8260723080, -66026058074, -28590596541, 738918047933, -56487243534, 45622692801, -35666265382, -185656585617, -107164556199, 0, 441462551169, -268271685234, -100464814107, -13806349674, 990074583, -177760607623, -2404775004, -6863893398, -187167302725, 627926090589, 0, -39619021448, 666943263, -13598523243, -102520278934, 15059020682, -82278170982, 289978963765, 126680894390, 116002093761, -160106648768, 0, 94643089848, 221460403973, -248924283259, -325843177329, 133111653462, 151010064927, -6921713169, -552964978050, -213445675026, 25403411241, 0, 2859963057, -34545676041, 18898442525, 291826816400, 422686502739, -162266497990, 818175319744, 147556775547, -290642635950, 274869846066, 0, 178293844522, 342276980358, -86786805861, -353389173280, -101405512, -55864867968, 166555789911, 431805757493, -178499525067, -1875181850, 0, -400847596668, -270283747854, -286570612063, -33308458335, 245027896052, 100616756331, 28977485346, 23754943621, -294261499002, -280298328552, 0, 152626940327, 140061588291, -258170037639, 267745417107, 291803759253, 153660070853, 248614365873, -441320480298, -253435245991, 815770402560, 0, 418566210046, 75690213396, 92935719387, 194755657796, -180902925861, -213206076207, -22335596066, -67084211343, 45776733417, -92256350639, 0, 62304849270, 474533694200, -201970407852, 124213430421, 357289029576, 618499984395, 149026206996, 224611075167, -76637826792, -80991354708, 0, -332441351895, -124250226723, -79868827547, 77699723214, 35685397827, -300347625343, 894543176415, 90623767464, 625023098563, 35005446862, 0, 175963280007, 395175901564, 16573676490, -142985062785, -288916594212, 98044214940, 106707223870, 767802834888, -36919897200, 47922632248, 0, 190046197917, 111085787769, -661942681824, -326937992823, 640277842673, 59685143028, -429452334756, -111247262256, -176749692493, 65017602936, 0, 154509437769, 95461662753, 287782140710, 186227705066, 204868690992, 341260284136, 182574140919, 154923200262, -495152319447, 564480249830, 0, -386711154265, -241934770671, -117092987721, 178563293201, 321914849037, 100055019636, -4353884009, -45855178395, 353664278244, -119350018818, 0, -260087194215, 222779009204, 218947473202, -276836170257, 287894772844, 1130342465051, 86220385119, 196675167939, -516109337522, -261339924366, 0, -387925819673, 22807853397, -87967502412, 394294975359, -118187033148, 287693461679, 708131131842, -107151712623, -355976973974, 88114604538, 0, -43992017992, 758176770379, 129179685951, 532713532085, -345870544356, -374259493413, 350490798008, 521972720076, -138249796572, 501563008203, 0, -4215347325, 169348335804, -38126555655, 13797149580, -100930117811, -334776784989, 126360549423, 164532713136, -53572230403, 23023172511, 0, -207468698834, -521872368183, -164854904087, 372415527586, 27818720190, 732413871419, -473023320824, 313932748788, 202098013216, 944290021076, 0, -176596044863, 248918867376, 70861882212, -22507812011, 297917538483, 90687429279, 563646218024, -163005659115, 314219099583, 279068731178, 0, 23842352511, -528100812085, 132555617241, -165016747746, 192070902139, 979461100988, 62929797561, 373249828763, 4447525080, 257068581471, 0, -286921736613, 268971064614, -96376347592, -335604291370, -251440752339, 228213402804, 520498442960, 163942462620, 1012221704753, -320962508829, 0, -142465149794, 917374950746, -446728857129, -598726971199, -386727997745, 8910671247, 129013125899, 656865292775, -309358973520, -347100685616, 0, -487649130111, 117613392267, 10017350654, -175828242645, -405198665177, -341153517852, 65378830104, -263444855278, -3544353402, -98988941187, 0, 365240926851, 146222523297, 62263478427, 132962905781, -48384842994, 320263482259, -665793820546, -663796160487, -437601818330, 175948973400, 0, 184057613973, -567504211434, -117106945965, -374431639475, 637660839393, -446309196561, -867331456785, -158560277794, 46875313818, -611271866857, 0, 308783927331, 408755747980, 583832510676, 278067260205, 19037958151, 322438742385, 225294292701, -592572091363, -103354969119, 11068885791, 0, -77593319568, -111840260382, 160438934899, 529704432059, -179134057899, -845202013363, -84700625361, 165531102039, 1337157967181, -581663946530, 0, 118803978198, -1063684292604, 160495412364, 513828113875, -127209649240, 193180182228, -115496174117, 33189885630, -66045883599, -107149956538, 0, 517085967213, -654838658915, 453281595623, -186195320730, -125535332007, -858325343988, -653729974506, -696496537838, 867296158862, 26794723779, 0, -95049982807, -439419190761, -413401380174, 870581588586, 164795399586, -780803168164, -1861173608079, 695407530555, -386027562322, -617260032351, 0, 226535848360, -780637002837, -107673228801, -113200555187, 81695836641, 192497047803, -433285977677, -1036867345005, 385964152065, -263839311016, 0, -259054723260, -353517394379, 1241215476819, -123327989613, -968195244213, -886984021683, 295263422451, 658045410902, 564789760490, -699701374980, 0, 45642932710, 270128641257, -522212106904, -811507763181, -558772425405, -798505826392, -1480341004009, -499869660321, 898819920777, -578133629140, 0, 337164235853, 64141376781, 65327502024, 11557965563, -213834779040, -576935950887, -71629106374, -863180978139, 50229894069, -638457379097, 0, 655684291368, 696878114765, -746417949745, 386867447514, -857781057822, -1034993119831, 62784942021, -496601235548, -517979509467, 475053128343, 0, 53605073124, -359756896203, 820592157590, -631073635863, -71904422196, -374035427759, -542415924639, 567505842354, -421262828093, -1124745091632, 0, 394403954049, -757234517196, 28950248475, -296920737188, -842270165196, 157093888995, -261249001816, -1520411897804, 205189707789, -632881187064, 0, 157428201726, -1614781919287, 555899614299, -12276564579, -277101562315, -334692969467, -311803821252, -110348465723, 334787106072, 175759438167, 0, -288324585861, 374106969873, 321678106264, -88665422501, 11778635709, -720807071284, 127386848436, 201183151329, -6887809999, -911511680110, 0, 797712468874, -692303431329, 240287828562, -229755844369, -629814830617, 384220695132, -1024157332681, -352752492502, -657581046066, -325718476765, 0, -501578444286, -50203011303, -402868027611, -198870269067, -1109015652560, -1197943768610, 449114577453, 177448390807, 754859797000, 165032804781, 0, -128888450067, 112658740731, 336874438515, -1269692463433, -22012590402, 1475015349255, -1535592849510, -1291959615591, -162142432292, -14800162248, 0, -1378383417130, -720780055818, 267686537778, 508050329098, -307166013219, 31630558644, -624714354451, -1093309160263, 183379348575, 820220816643, 0, 431592381837, -21170375888, 1287382919305, 1049098932432, 284568351598, -829241921031, 47035717146, -957431860947, 116888059959, 780792437961, 0, -1046003850779, -236338761798, 1189792147488, -852691294344, -717458171652, -609042541718, -1171994775294, 844472028465, -238086131649, -1744493384067, 0, 64133715209, 9391259515, -49070523816, 1114238816073, -474596887722, 232337985741, -674595347016, 185370383157, -643554523737, 415914560940, 0, 124973901756, 618235042833, -490062045370, 155367645048, -1432770720317, 343919145261, -965640501918, -770453297236, 688466092374, 121230168183, 0, 919791785205, 173841556617, 817296056136, -282739710819, 92844646686, 475910848820, -987010784415, 477718652826, -266841417587, -166656597054, 0, -856073648278, -1583132212590, 193470796161, -120499350304, 649913847209, 151245884421, -692777835344, -374604469437, 736884890244, 656740570991, 0, -698900880222, -744840228858, 707847561614, -96869234961, -96575512172, 954996196524, 708387852132, 1019245029581, 777846220074, -54625787856, 0, 134807633919, 596718595683, -321955916849, -57055217127, -779510734083, 291130082584, 1329057512166, -603256140243, -182707757082, -1140442002058, 0, -163963868957, -1492606750623, 122361051600, 458702865885, -1073293714014, 613957921344, 1057321844906, 1129459133636, -145069967736, 18652724704, 0, 100671829101, -625682545324, -1526530571550, 719285612814, -871936932312, -804540957831, 379190838618, 894581487553, 880139970053, 508188808548, 0, -257162531007, -872975028609, -7167214833, -940543176567, -70280729973, 493672616435, -1305318693106, 53840496717, 105297627556, -349907841363, 0, 636631160377, 190144260444, -51155669394, 544139486501, 1625274411276, 910789791723, -371417844859, -1416673280267, -541528406280, 1851846099730, 0, 489009823272, -564436289160, 1150514454656, 1033033672368, 609306834910, 66941964528, 215250716925, 626458619155, 304783988811, 258101702775, 0, -757017106506, 823931968626, -800658855997, -1312255841871, -370251457380, 899413158535, 2119009805144, 710729005203, 913976125167, -197036878188, 0, 619378583520, 1517716024455, -523050923124, 528641884888, -541362282780, 65268117225, -231868800792, -638078778805, -295389406908, 1486821908643, 0, -1744395793551, 765746959299, -631645510018, -44371071972, -583172686271, -1037620879263, -440131765365, 20888509776, -909948708368, 982623933108, 0, 342589612105, 416838554271, 201102892423, 77370689178, 489362062788, 931846637332, -237835991, -336598908048, -1123853259410, -843359859458, 0, -522896604154, -2169586823700, 684510982740, 253863797290, 2937311344335, -221135023863, 1379183232375, 33782062514, 70057012995, -1486214527362, 0, 680549855157, 522128625322, -243144660975, 981018964575, 313817701313, 125215616810, 452819565243, 461674078727, 1116327619787, 545793134499, 0, 1172528050974, 1052805616362, 537367724430, -1590337876980, -504595035540, 1307501637416, 1849237766677, 300181704408, -208665468411, -373819288182, 0, -471485899859, 1820639735857, 89133225471, 431778053535, 1025236290969, 1310727903408, 1755898524807, 1526990938839, -183913905429, 2253870430949, 0, 305596557972, 103214793315, -2443238480007, 322928746893, -2036860534325, -1976780460880, -1387202099769, 1963676747503, 1843428011556, 343468983501, 0, -670026404958, -138782762775, -1256877675117, -3490970428200, 985549712751, 572677612602, -645065992302, 66033670014, -1979330791868, -1089980316498, 0, -2368663776932, 533496125381, 691171769853, 1056098865538, 1301747705238, 660989639925, 633017170169, -1263026035778, -844015290039, 1715490430418, 0, -298040981139, 1695240310616, 51108605843, 112768534692, 1361406621172, 251074216899, 1436733315648, -1314448829796, -118705843470, 708004623501, 0, 3140482400324, 256907948508, -1109968826274, -440327475132, -1255871727630, -1467667458643, 839494638847, 435728568456, 727334491933, -2603208310671, 0, 133237809146, 2020540444326, -724436668305, -306425927326, -430570770033, 187435148229, -97308264195, -506971288692, -424953455679, 576756744792, 0, 556972305921, 2298456303164, -1946940093639, 1145119197483, 2530498367776, -222842023440, 96372003015, 786986915599, 1231361613807, 737334616716, 0, -756248038971, 1218816854730, 1789800753726, -824192248163, -109658285352, 81544655774, 685652464644, -144667778274, 66023816680, 34654798996, 0, 716975988087, -4172322909338, -475239058470, -1069598613254, 2705173894629, 724622058540, -477005369207, 647008581405, -776676857526, 492442412109, 0, 179090834031, 302047109879, -862179841968, 784107513918, 211430566392, -991851829779, -41196686508, 1320720867942, -747395329513, 407069362323, 0, 640094014448, 1620335379339, -416260347874, 336964150195, 569190752946, 1109612386934, 2566995952380, 486830942874, -1742876699836, -563041534120, 0, 267209329142, 302551591465, -31216769010, -276253811017, 455023192770, 193783347162, 2571611886047, 2117705476301, -514745097885, -1656698920127, 0, -1271608105905, -198200654802, -1654601842836, -169335954540, -233116798433, -3036143517547, 1693953901503, 1646270137665, -1039030730385, 642519590463, 0, -1006841246862, -494826904287, -2652540255860, 705375369186, 584363426598, 274894262031, -3311880161949, -683250065541, -1066540984816, 487161667839, 0, 2150520391578, 45628914345, 671434552881, 1717446951815, 2411452014336, 336241179594, 216113578596, -2852387189924, -383329179891, 3386574132349, 0, 975050164863, 224190484871, 1751876224410, 546778878309, 335092350261, -2995596555585, 652712706603, 1505859682364, 257438860616, 556304470722, 0, 1707803439148, 522914810643, -397510200731, -1254713313375, 124833896577, -370613554584, 831978495426, 1891870255845, -2617284389277, -3762162874362, 0, -1238340527994, 1556769713142, -674878028148, 962335756984, 70557008860, 1022982858702, 1682224426723, -621075394004, -852970527864, 842946364201, 0, 958846773771, 3381114652073, 2017899797797, 1674433051353, 1154465476641, 1383862230936, -1011621382794, -918187642046, -1135627491945, 293494984470, 0, -188589833217, -68831173872, 294006289440, -3482746800608, 1841514690735, 2068450976434, -1242965330910, 164409659766, -1987212796895, -170595045990, 0, -396851684182, -1870843192215, 1003343922540, 789602864059, 5989703247933, 241548916509, 3466395955672, 490299216066, -435640581234, -2127670943428, 0, -245088650772, 3184797434333, -1444796549748, -184929303906, 3189180234950, 1490741588224, 1188764780346, 149354890470, 593864264766, 285589869903, 0, -1372216610913, 638090839404, 7574494476, 133511219647, -1942084342683, 1243301642613, 3233732745819, 497718058914, 414746439788, 2697216419616, 0, 1703296424483, 2639448959466, -439480698327, 1951582223954, 577751839993, 862433496882, 3764017608519, -908263740341, 146444944842, 335843273707, 0, 803463207741, -3148036487954, 1935370700757, 1007597162097, -1353198781986, -1458130763733, 1080908166708, 1511220652196, -3635968960884, 1508534575110, 0, 138943424478, -927242974854, -2296538757223, 1177086505934, -367856098758, -2008254861695, -1893189918581, 1352083168017, -1361779245727, 1861612370603, 0, -1479817442877, 172074636348, 344019493683, 768079990044, 1760287547901, 1341344258298, -399322073229, -1983949955316, -304673204574, 1778199922322, 0, 242184251673, 2872602983238, 2905463331435, -336149126469, 469492923477, 2224154712419, 2492660341746, 2564715200690, 1672340956321, -399848562648, 0, 161716068234, -173238712929, 3043717737929, 1227423001092, -1856493935253, 1730908008585, 861177090369, 139137158700, 787447715542, -3759613042642, 0, 283304280398, 2671060428924, -1816264840482, 633698316840, -1102950219895, 199933654077, -1470616769786, 2970183873875, -636412973895, 2650305258610, 0, -151040082294, 4513273007603, 452231964214, 208138030029, -813466522162, 895755685644, -1717684888248, -239687181078, -166493911150, 1803316207536, 0, -1178552146845, 370512162144, -970344038813, -1928942754332, 389264298534, 1055974166320, -106536436878, -447106628439, 1239756989847, -505256633496, 0, 1064756767677, -2827135199945, -1425446662275, -1379034817859, 3841242137928, -1323325639116, 2820197403792, 2633463603664, 1404970208658, 393140473482, 0, -381881981052, -4420792274524, -4794994937210, 98158967937, -1872185562285, 797910351232, 480720270960, -3021766500294, 2886239041844, -453841000191, 0, -3611147604828, 936629374977, 1338985387286, 1345326945758, -283848326487, 4123261535245, -72102911906, 1414497685347, 245112839619, 452357632268, 0, -1843318656328, -826744933577, -496793594655, 2737671395025, -2443856154184, -1647841850874, 722233253280, -4855240699476, -657977792220, 383521314497, 0, 251794364157, -4290867242474, -577666447035, -757082941596, -595751325031, 366460714220, -1742862750588, 4192747688887, -3919386924956, 255961245780, 0, -943435278960, 143973942750, -3580768649613, -1333150531969, 1130455413675, -1323885768535, -3684859199820, 631877977728, 1655819162199, 1057179059505, 0, 1529677496957, 628834064391, 1888173579060, 208695437383, -1448954669614, 120651987348, -2645431105781, -3316692223845, 1346962071537, 1965867906600, 0, 646008104538, 1864374124021, 3439214847654, -767129243481, -96363151250, -3236435070139, 2505916889766, -3577980220337, 4110208904959, 1528843303296, 0, -983740191813, -345777984567, -531085506868, -191874429276, -2828458910664, -19249252704, -1493946404850, 388556621082, 1258699015122, -3217117404417, 0, -292469693916, -1548284385704, -699083092665, -2417917996083, -2169878868471, -1693095063255, 121471112910, 2028626720958, -439450064640, -4814923230464, 0, -573954168222, 4015471836429, -3376578000393, 409121246358, -3367573494092, 1501698839244, -930804588837, -2846335238324, -3367831392048, 554678303571, 0, 1928026296674, -1433855153961, 1550047367974, -364053265555, 94494776256, -1600879143384, -594218192025, -789854350194, -1014620101056, -5048960006802, 0, -2408508327344, -5171903383211, 292634206056, -2498556143518, -169558468707, 1164915700947, -6746818578749, 3124882304868, 777416646456, 1444303751175, 0, 125003840328, -5865406040696, -4089294631545, -2402880315723, 622886028071, -1690332094910, 727425836631, 1064325151905, 6801039812148, 76336185240, 0, -173633793437, 2199195594549, -353744878182, 184283869849, -812119006170, 3780586825719, 513313426444, 1131712040385, 8390501657911, 1930713115566, 0, 3338105407752, -2837471668151, -198652777668, -3816118738635, -5677510483097, 221497177374, 4035669730119, -836756749806, 1470002422941, -292877351872, 0, -430168404753, 814454141876, 2419290049113, -301060854108, 133422723469, -642041624166, -2386139184396, 373962429972, -4615506724235, -1619184983508, 0, -1608497672792, -447523346709, -2847731006260, 1948844142537, 960013371546, -10117109488296, -4933091624436, -4072635751725, 3050193514446, 897123600168, 0, 6540115044539, 3751155751185, 2977832580876, 1878899482289, -5924717617167, 28205148024, -4219047997962, -2248867135766, -62902006299, -767119950023, 0, -50982823359, -6739915460446, 3051908753760, -569084049972, 2870112379389, 68771521281, 551975124267, -3606345388452, 1767161315943, -3601696460886, 0, -2289476481822, -267976619946, 7529317415636, -3496845607923, -940195622970, -448166576041, -16112665497, 97661448657, -3436700188425, -2420407779240, 0, -345189181291, 1330771536524, -19387499121, 4639216891242, -3160872862758, -4047355005210, -1686142373362, -1396611917659, 1266766934274, -5171068755278, 0, 302773038183, -54913807740, 3887906165981, -1074112571808, -276044897094, 4601242658607, -4324473279297, 34104943677, -1773085959412, 422783163630, 0, -1860345727255, -3444848470989, 4194147214567, 1231177570287, 2385741358728, -956540769434, 1519925615285, -852667599366, 3945143587478, 6961926596550, 0, 3144974097880, -1413612313757, 639861122511, -5257631719426, 1367706537086, 13698727938, -13209397973138, 217078215396, 939706044687, -605812201462, 0, -1305494577810, -245559074785, -1438098258930, -100874478330, -4083024966423, -590136047078, -634899262446, -6097174276888, 3222992585483, -5171955377355, 0, 5142293087272, 149869845891, 4681651256933, 4369900556366, -188712448461, 1788939168255, 511786059008, -455988654360, -1009020327355, 3134346075087, 0, -1771800476154, -5404306131153, -1912183133418, -3890948908677, -6298172368346, -3127639815360, 1843715023288, -748170039102, 209340838476, -8216772343182, 0, -829803685356, -4515227611946, 5776461894209, -2844968414040, -5147088572201, -2598557912142, 80645640309, 658137169114, -800297688081, -2199437803503, 0, -1808092017646, -6412967471763, -457317582896, 5165001841563, 521674695621, -3632652318876, -7993390381737, -2296754564220, 664796751800, -134462400455, 0, -7985765046778, 4612800120998, -282070240083, 1039897268178, -1761736684032, -150476076027, -5334355382625, 689914621260, 2439845329680, 4444622376300, 0, -227904988959, -5124113544183, 5703433453884, -164003306013, 1292065927171, 1403663978954, 1685988927396, -7897391379309, 749721280053, -1310250968199, 0, 3612388556680, 1012307990418, -3287171574293, 526151189094, -3455930076264, 544535904157, -39825790131, 349800152400, -7276670080531, 2389584435816, 0, -2291805832342, 4461241899111, -1090707707493, -1422313387329, -3986940023842, -1383047429787, -4090472851240, 4136549792218, -29400924456, -9078533566271, 0, -836859840759, 6017340486358, -3031223063427, -16823888973, 489966574706, 7813512382821, -4852589645313, -2314889020249, -4927157819109, -2742867045072, 0, 4070035665231, -1572704022402, -1399486342103, 675859939436, 1233838855746, -10935849436664, 2480997525732, -2999939799609, 549607294406, 10131168408933, 0, 1322426607955, -5451785685387, 1985655177720, -1169371087351, -4562303272590, 2048531384088, -4502637336997, -520292048004, -121321043136, -6069920395490, 0, -1709233324029, -7982966573798, -170809067239, -2146606706484, -1696845832666, 1345414232996, -257428036062, -1841402044272, 2848803252984, -2788597765278, 0, -1227518144850, 503438319738, 3884543905028, 6630850938199, 981947334519, -411604187774, 4392581332917, -1860455639907, -1373641156950, 8276088484305, 0, -3807501843236, 98385959171, 2094892302168, 1791026130860, -4826359307373, -3109331407716, 4170959353572, 5148351110291, 1890905307435, -2851371292776, 0, 144448523667, -5683325626666, 247508549873, -1578496427793, 1310293165013, -3523227679251, -2300287102092, 5876898955752, -1620728053068, 310102909380, 0, -1393989731442, -6757860232143, -3071464454954, 9822293549168, 1735930611720, 2645512098583, 878993193034, -2530272092265, -1872582293373, 175452017678, 0, 9619455272418, 2621898169374, -1489585945383, 384677906055, -8637307477422, -80861820885, -6493205310419, 2561093957127, 380961280026, 3413014794614, 0, -1057433621427, 5117062851498, 2476591277469, -326603443842, 3226419158370, -1363243770761, 1861628277636, -11232481734740, -191437289669, -5727107063529, 0, 6384662799480, 432139593591, 3102382259000, -1143750965583, 4660197263145, 3970718483570, 3880260089190, 1737485700993, 4942801392557, -5401197675327, 0, -5661423404776, 4432733248652, -740144288097, -5504838713099, -350953721755, -2832784386345, 4428588696872, 1468318395707, -217098608616, -4272981449433, 0, -257971535451, 5263734459953, -5345105054043, -126622347336, 2200230600691, 4841232054256, -3120567484257, 822612327064, -7460743687248, 933220905318, 0, 954596920167, -1026928392030, 985631476795, 7018378064221, 400214217384, -8384370397455, 1234201695034, -2576581992090, 2017005429484, 4558462017540, 0, -2532615977001, 4150098281025, 2312064224856, -4329327646165, 825190238366, -350826673230, 3036542509798, 999572547670, 435974551875, -881794289469, 0, -1887640066188, -8488421833035, -6522492771816, -8089849251963, 5971946044619, 4987915955646, -370900805841, 8653217563802, 6088064743851, -3668662839906, 0, -1971224604765, 1745926040610, -919958089552, 1789400562543, -956213808426, 5254817465739, 4565582277696, -137527896303, 8122244237465, 11697025410637, 0, 1728667965864, 3041194445115, 1398296352897, 3872738272406, -5503608034407, -928686911634, -656204754142, -1393150738650, -266484990366, -3434117604079, 0, 1506302030160, 2738809095565, 7325092827159, 109322233848, -2440496517120, 2933329117779, -5654794646169, 1222934002714, -4128360918569, -2177591643990, 0, -3804847290249, 450158417811, -7139143900824, 11378669108724, 5506617254481, -7982434391223, 1808039964702, -828922290201, 2922152947274, 8442234677235, 0, 4071815728620, 6091290960788, 367343295588, -1480266145844, 10919787353163, 477185445864, -652214650879, 6039704049759, 1116272606976, -1745246051871, 0, -234547271163, -1515234997349, 5172570179042, -3215516776083, 2014441524498, 4524744867933, -283943887452, -5136783782556, -2371067808884, -2612357453061, 0, 5667013507106, -1133720751042, 2057740548783, 3356021734826, 2369901951261, -3505716323014, 13199139354459, 96743467503, 90349041868, 2819814118278, 0, -9097398401693, 681564533530, -2213921372220, -4814316266101, -2074902834262, -6209174194281, 674754843955, 10542463507023, -1595576376396, 7434786170945, 0, 327370313205, 6490793991794, -8318289753044, 2048742868797, 5528663441363, 7534471223046, 1948311350172, -1463625752552, 1195884967429, 1074666567123, 0, 4067946535842, 3053194109451, 1614065409150, 2028891880579, 2706624466308, 7667106340372, 2630990450067, -1524734308998, 2003394929743, -3916330975686, 0, 288256516245, -3349409058084, -4504404805902, -8473835745370, 12093828220803, 499938043572, -146641489037, 6628282470321, 2896030825326, -740799863833, 0, -752724903024, 7990407468738, -4460778582258, -159394459068, 6295565192012, 4038678061140, 3017762668872, -10252220049, -4215571317304, -932803068060, 0, 3309730683645, -820538594505, -6328723260606, -2440244743998, -1050761481786, 3758940058127, -2217530738442, 2313918886230, 6537650957746, 8108903488213, 0, 8538317111121, 19170904016227, 745697623419, -4415156118110, 188161669848, -2414971879002, 13819195668052, 10262159198643, -530028005544, -10206402500260, 0, 1616843280879, -4556936946930, -11417690754672, -5871311624295, 3808381184373, 2110692419868, -2007046186704, 5104589016682, -6568247470817, -1252471099851, 0, -7249186714670, 2814887632851, -6817743388746, -10555209885678, 337212069084, -3193761117477, 5737038680716, -4052958528672]