# Trace form for 13.8.a.c, downloaded from the LMFDB on 09 December 2025.
[0, 4, 15, 80, 253, 258, 1579, 1692, 1893, 3494, -4495, 1836, -3655, -8788, -18285, -29736, -36159, 11814, -2738, 27660, -30369, 69930, 59930, 172920, 26553, 219414, -32955, 174800, -170903, 133344, -624695, -231748, -459291, -33868, -480249, 322296, -157930, 248026, -85326, -175760, 379895, 588108, 132275, 309304, 1270806, -1773144, 574948, 557916, 837429, -767378, 5737920, -1816496, -555841, 2022348, -479, -3770208, 1391625, -5609844, -3027194, 1162668, -8100077, -1340572, 2715564, 4213476, -6734935, -566826, 8124226, -598484, 4515993, -108848, -4329415, 697860, 1607430, -13725816, 14884053, 16604592, 12055070, -5326932, -3469063, 20079576, 3710667, -8368396, 857160, -2024724, -13603483, -16146514, -22922499, 22170952, -2100618, 17646240, -42372890, -3717324, 14504892, -17910680, -3729785, 12508152, -37637751, -6329096, -22166262, 6200852, 36589308, -7144140, 49035855, -5371792, -4158921, 22772678, 1347788, 43243440, 18243659, -253206, -45603690, 6220424, 11064261, 1428672, 27713194, 33181272, -47590494, -7676318, 51218850, -3646800, 4989235, -30022300, -14735184, -6021752, 5086140, -104479638, -3545758, 36574536, -12569955, -27574258, 9875515, -48001488, 74870270, -43474028, -49794582, -3190680, 397601, -22508460, 48880580, -24813104, -57251613, -71742270, 104226961, -4033692, 1796910, -49894596, -104241270, 58468112, 81708635, 85001664, 182783460, 662508, 6069342, 53924296, 8262034, 182556168, 8030035, -27887464, 1268244, 11338568, 22377815, 49936656, 127893535, 17231548, 57720720, -275825844, -262716296, -53095836, 60593069, 19307236, -295951035, -162427572, -2565937, 82336884, 55511102, -79347252, -162219042, 288052660, -153074102, 105122472, -403432238, 60235316, 40172145, -121946024, 85106268, 161651202, -385690316, 230986064, 227473509, 48264606, 245394190, -56066928, -192154403, -146526060, 348439170, 65329992, -414693446, 430180374, 271690564, -21846320, 6498780, -134263588, 220204116, 423668352, 165771461, 92056688, -371972856, -7864928, 79441323, 196970832, -12007295, -104717616, 65469564, 86802238, 397708172, -371684568, 75429579, -302864224, -77010195, -633626232, -229621006, -25955358, -213683187, -597482620, -3076647, 357290358, -59778226, -261465996, 10342054, -35911466, 196422060, -487724760, 139053330, 293655966, 6015386, -272297480, -51550866, 153884232, -92327585, 103876068, 968135751, -368701272, -3654513, -624112000, 399466872, 416297328, 240263616, -60769020, -101465988, -192481264, -704948665, 639694440, -266225506, 30985184, 538553088, -1076433032, 815688161, 707435238, 1101249669, -490284184, 66720693, 1176690316, 290642465, 151818432, -257634546, 634073544, -331984230, 185371296, -359232826, -125820948, -412524485, 100176124, -916476243, -153636210, 474003628, 907181676, -361239284, 212261068, -2335324407, -1510787204, 297977955, -414637008, 1284534983, 577011816, 121426659, -736221164, -131666210, 145684272, -428320218, 409347670, -2129043270, 1321766408, -857931362, -754165470, -1536031850, -742507312, -29908461, 378310748, -288002630, -379905240, 2242487724, 696049574, -627919491, 1281594880, -1639079706, -2143587168, 1265775402, 831172588, 866009118, 823033360, 4058535180, -690039120, -58336941, 516389370, -242345358, 1174168712, 769294796, 1475984496, 61424692, -639442456, -254639421, 1498179960, -961571068, 1496039352, 375009293, -482052558, -306794388, -983248680, 282496112, -641717310, -2607217610, 826914780, -1974646560, -1524612280, 1757005616, 1577480184, 1760499657, -1817457782, 72402135, 721917120, -1226928333, -1102179000, -1531363580, 430964784, 251478159, -751687344, -262617356, -185294256, -1113452486, -2041160894, 83328540, -384035600, -156642090, -2980627716, 288092586, 2698703832, 298179342, -2883107998, 400703921, 526085556, 22849570, 903204772, -596869272, 1343325616, 375473891, 1610976324, 3823036216, -3430518360, -1963130580, -17176844, 4310383375, 1167568224, -1095624564, -2002138964, 186236154, -5504453064, -4207739, -292956768, -910928071, 1958955988, 4207062474, 2574356040, -1605620898, 513293652, 2287549537, -1476271796, 4073206440, 2811700952, 1009080102, -195964128, 1372454915, 341307016, 362891658, -331609450, 36366095, 4558551072, 3352258868, -2521017064, 3838442130, -4972840192, -3201519924, -2100528564, -2358887454, 509150356, -3315257820, 1373311458, -244416562, -177738432, -1942626107, -2198119836, 318105840, 3020208008, -5385146952, 661952652, -2239440616, 2719786856, 1009062327, -5095400026, -2618561524, 2730816912, -3105405769, 2105122298, 4258864521, -350118588, 1235897532, -350979492, -5285510863, -2556504976, 4186950372, 74407996, -9438700865, -1684580748, -2886791745, 7367305058, 365474916, 2095789032, 3195691267, 3384402624, -7759273822, -6424179192, -1134959790, 1850859578, 1055107053, 4380098496, 1766184799, -545850020, -5193857439, 5812673376, -1063456147, -1305721608, 7052342340, 499254392, -1774457670, -1093433082, 3566005232, -708084312, -3596399210, 2144039992, 5982077439, 3152954128, 2720104084, -1222366566, 2122066466, 1598422868, 4288934250, 7452679064, -5468455073, 6571145736, 346972210, 1806680804, -3920064075, -1566282536, 53739662, 3627083964, 3585851812, -1087153404, 5730862197, 39247340, -1447790477, -11934361572, 6946640995, -544913122, 32592270, 1305909864, -3632950723, -12806196300, -6800081168, 1812440172, -1745493672, -4686008128, 2017930970, -3588794808, -1020313648, 56186836, 187461222, -9765797256, 2031976908, -2234057826, -4458040192, 2002831956, -7331926911, 1551721888, -4243780920, -6565379928, 3047097950, 8081124560, -164090472, 386144720, 1194977168, -7472648760, -4308638315, -5657788864, 2660655093, 4099006692, 9663608499, 3756561024, -351658253, 6971610204, -356852547, -5263516272, -834629315, 387654282, 8247019820, 7554905888, 2166005643, 877534344, 6042775428, -10831235112, -7344646410, -4408876156, 4470871500, 6384019972, 7229760070, -1292073276, 11615301602, -4732849072, 979878150, 13653484806, -4689155184, -10398338508, -1137214055, -3651798938, 14548930263, 564481264, 10632372353, -9612598686, -290608175, 3629116176, -3842542356, 3268574572, 17292440880, -16044235992, -281245620, 11530216312, 8419799868, -2929988944, -9088701501, 12342880230, -18261090416, -679540888, 4928992119, 7868945956, -9680433334, -2769228072, 5693823473, -337821292, -14212311420, -11203042788, 213460995, -10749171774, 9672682670, -11402068040, -2791960782, 9566888828, -3434869616, 6181243056, -3605110178, 2750729504, -14951161932, 10733821872, -24119706122, 12196878408, 10790039642, -3201413144, -5301060114, 3895597368, 2913874337, 3097328484, -15034510702, 7807552024, -11137649970, -4712377720, -3940309065, 7895259120, 1603507846, -2618199808, -841881570, -6435601540, -1263160756, 3331709664, 2743218540, -6417471386, -3037727835, -4230426772, 261393687, -12444063390, -27448444356, 4154840240, 8264966526, 23179176540, -26958233160, -1225741452, 18100881854, 15804682152, 27061948554, -4100823656, -4492086674, -3288392892, -14132285144, -5127588596, 33589627476, 8074916848, 6121297366, 15495420408, -1839831513, 12328066496, -7640032179, 4945867056, -1595337418, -17480981418, 1481535790, 15949972860, 11699582988, 19395605046, 25070306634, 1167924936, -10008990388, 1685929466, 10458658788, -15066392468, 282697535, -16440137304, 26538338860, 9276080012, -5558522292, -14462137054, -35039335102, 17701854552, -5738348427, -407728048, -12606210240, -5058734480, -4218942532, 3311316420, 23402107973, -23652236760, -8369937744, -24467584020, -4026424553, 18084282672, -17043994838, 11497981920, 15477844092, 3990841712, 4169000480, -16095618636, -16901577858, -4753915184, 8507145720, -4724415266, 18008757430, 23858301960, -20451344371, -21108618186, -13076545971, 7457626320, 1221182677, -21881069964, -2518561706, -12901903040, -4951949205, -30114206040, -18646254616, 9847917204, -1414035164, -9716991688, 17008594665, 7108882712, -12568232973, -4443098556, -11013462100, -1706484260, 19135072260, -14639083200, 18267896361, 13612973448, 13829600346, 4918022928, 20588832561, -37176990800, -5530508244, 19187698548, 1052363, 10956304504, -6073270194, -33837327250, 6563587556, 6777154296, 14371347062, -9059974992, 53556415155, 7920346248, 10598143102, 2389651488, 19531633463, 8283146976, -15763637013, 12058493050, -6748329576, -1886725824, 41587854714, 29144551280, -26495226009, -9223047024, -11076368704, -5747857668, -4216469077, -7213636696, -3057400125, -28834207900, 50391119750, 50884240368, 32698204824, 21558931726, -42004949982, 58913273664, -15854084004, -14505256272, -6251638776, -24620890180, 33823869129, 12324827268, -12281767772, 10921189668, -3224382292, -34942647812, 10008419676, 9916492748, 6617546014, 8731610904, -86870908745, -20657341448, -34329624879, -1467056016, 6650745218, -12103482264, 1910754767, -19543433988, -38911528008, -6890287472, 411208650, -25310164680, 4801097344, -14063029864, -19080565782, -17443820948, 40857215617, -2554381596, 2816553973, -3187312572, 4964053590, -506331248, 5252891968, 23838156282, 35722889094, -16839755916, -11528131146, -491261618, -72106302842, 15199500360, 17795869169, -20917174012, -41902957836, 230692504, 48459348066, 4790228100, 13816824121, 38436579692, 41540588433, -8161206960, 16494245260, 11706901896, -5672759820, 2945236684, -52270390194, 10784905272, 26476900710, -51424953408, 31593273322, 50375718928, -89441421060, 36822350220, -51218950240, -17951280984, -32759836754, 5576370224, -5966094108, 6938371512, 499276484, -1845290310, 67629731905, -42808669876, -32505222630, 34175651714, 3968760366, 83506262928, 348621969, 13114989316, 1836953988, -9257006772, 9006604656, -766294350, -15465316540, 23445165272, 7464751416, 81959832528, 8251280698, 34442529876, -20934433592, 44952174864, -190642320, 42365514008, 14796652195, -41660888544, -4878534943, -30350127368, -21629043228, -18183031496, 3349058659, -8129758908, 18330577455, 33459285212, -14524537899, -33402296256, -2540486205, 1245316722, 15800319482, -2546255748, -10572536052, -13703744280, 54829682940, 24210798840, -12356795465, -2173416746, 10123489896, -36548819336, 14518486052, -7731638496, -17848924522, -28846630080, -57179823291, -2129383048, 30421182443, 5424396756, -3119706309, -11274782528, 50652592605, -52104134080, -1147262132, -17546949024, -47024908150, 1314869348, -6146453829, 36490561772, 4891354744, -44029508016, -25723901434, -36167421994, -64231316466, -69823767624, 24688738698, -9473379330, -19040722184, -57218223000, -9921636621, -31171278836, 35898679711, 65833438512, 2303899199, 15839507752, -79553999130, -5232798004, -82887985453, 67777422948, 85294997714, -8647474072, 24994756401, 239139056, 88217563946, -90169913544, 52494657576, -11559250408, -1969765488, -34026338792, 3236664842, 68615549976, 30666313389, -43032632888, 41998333464, -15692281556, 9511724755, 109914562608, 23039767710, -44284699784, -36509656218, -115203544504, 65537122785, -50523320610, -39361187571, 7493012536, 19788091380, 99878259188, -14573245323, -1533198420, 45743132870, 77739711156, 84044663952, 42827301520, -533236782, -76348342068, 126544332540, -89341802484, 32540287761, 20647243284, 85063634468, -6585847896, -3531523710, -7168209568, -10196193198, -15907299648, 9168529975, 35026016166, -16837863574, 31823331712, 23293288470, 4683160370, 1918209774, 20479639932, -78948128228, 30155617752, 58263847680, 38276907120, -8684335339, -10717436814, -41659881296, -105172074104, -45212289447, -50157326696, -78048229321, -2836266384, 79043163647, 37372030700, -32700264441, 55459664064, 26026998154, -89304215784, 16665850852, -36890721452, -16345302747, -28173890276, -137709478290, 64037325072, -9594330928, 59598340270, -27827914752, -36480288624, -65344832136, 8797731672, -113919202716, 14023844184, -30102320034, 8480282136, -31747833363, 104017270908, -5437901456, 51791950758, 84616062966, -101644044992, -26484988790, -3475170000, -110091976220, -32318114216, -19092571908, 91306779000, -1548411871, 66236239680, -111101680224, 3520261632, 14864609784, -6408430600, -34867378135]