# Trace form for 38.8.a.d, downloaded from the LMFDB on 25 April 2024.
[0, 2, 16, -69, 128, 155, -552, -2238, 1024, 855, 1240, -3295, -4416, -13427, -17904, -34782, 8192, -32256, 6840, -13718, 9920, 103797, -26360, -82525, -35328, 159919, -107416, -75141, -143232, -12749, -278256, 258944, 65536, 257052, -258048, -448167, 54720, -149260, -109744, 889557, 79360, 339130, 830376, -83869, -210880, 2097243, -660200, 1471025, -282624, 1105372, 1279352, 913437, -859328, -945643, -601128, -1736899, -1145856, 473271, -101992, -969009, -2226048, -1506755, 2071552, -2791179, 524288, -5445956, 2056416, -1848219, -2064384, 6834063, -3585336, -3417184, 437760, -2499822, -1194080, -10079553, -877952, 5025267, 7116456, 2636926, 634880, 2491398, 2713040, -10059354, 6643008, -439425, -670952, -2572923, -1687040, -3506160, 16777944, 19003851, -5281600, -15169884, 11768200, -1063145, -2260992, 5893526, 8842976, -11301453, 10234816, 3148952, 7307496, 12387900, -6874624, 50459382, -7565144, 7950473, -4809024, -5159913, -13895192, -3023826, -9166848, 1754444, 3786168, -47594176, -815936, -35156502, -7752072, 34233444, -17808384, -26329313, -12054040, 37368276, 16572416, 47428605, -22329432, -64279596, 4194304, 42097386, -43567648, -7861995, 16451328, 15350442, -14785752, -24102252, -16515072, -11045588, 54672504, 5579139, -28682688, -31347330, -27337472, 43579366, 3502080, 30143842, -19998576, -97634802, -9552640, 33205941, -80636424, -43543724, -7023616, -31185, 40202136, 84510092, 56931648, -1075696, 21095408, 3965925, 5079040, 129557013, 19931184, -85855976, 21704320, 119527878, -80474832, -192004446, 53144064, 28451847, -3515400, -5864445, -5367616, 239303052, -20583384, -221531271, -13496320, -75223323, -28049280, -255858, 134223552, 86718620, 152030808, 124664424, -42252800, 72889742, -121359072, 43105545, 94145600, 100592685, -8505160, -41490566, -18087936, -92992926, 47148208, 418534224, 70743808, 45751826, -90411624, -134846270, 81878528, -41933835, 25191616, -13852995, 58459968, -480756122, 99103200, -310379022, -54996992, 22600405, 403675056, -186714009, -60521152, -158643330, 63603784, -411606871, -38472192, -347963952, -41279304, -99903717, -111161536, 186707871, -24190608, -202015208, -73334784, 383167350, 14035552, 238458361, 30289344, -207893921, -380753408, -377608212, -6527488, 118877877, -281252016, -86493565, -62016576, -289254234, 273867552, -277410906, -142467072, 157541774, -210634504, 340180074, -96432320, 700494166, 298946208, 92095793, 132579328, 234799722, 379428840, 415202471, -178635456, 336636446, -514236768, 474426666, 33554432, 21397172, 336779088, 90737844, -348541184, 202430484, -62895960, 917588085, 131610624, 222853172, 122803536, 554884020, -118286016, 331207458, -192818016, 603707459, -132120576, -1311176205, -88364704, -493104710, 437380032, -694949275, 44633112, 541004364, -229461504, -720018410, -250778640, 107959233, -218699776, 238569738, 348634928, 78483966, 28016640, -286494928, 241150736, -946840218, -159988608, -226472037, -781078416, 1047661182, -76421120, 212830362, 265647528, 1150745179, -645091392, 459752529, -348349792, -14923194, -56188928, -867814403, -249480, 756024672, 321617088, -301425678, 676080736, -757521308, 455453184, 227832619, -8605568, -2606427207, 168763264, 610255041, 31727400, -130638452, 40632320, -528171477, 1036456104, 221243904, 159449472, -1756447549, -686847808, 767659347, 173634560, -1464982005, 956223024, -866269625, -643798656, 500148774, -1536035568, 948969396, 425152512, -1680454924, 227614776, -397350150, -28123200, -740504812, -46915560, 50849598, -42940928, 3165528792, 1914424416, -659967341, -164667072, 650310863, -1772250168, 769207239, -107970560, -991494261, -601786584, 2592708746, -224394240, -1386709821, -2046864, -667401216, 1073788416, 94091762, 693748960, 435942321, 1216246464, 1729788747, 997315392, -1930125580, -338022400, -3240731934, 583117936, 790692771, -970872576, 260103439, 344844360, -2043866394, 753164800, -365319859, 804741480, 1633776051, -68041280, 2383193286, -331924528, 1658546398, -144703488, 2499902031, -743943408, -2740923477, 377185664, -708276135, 3348273792, 1051876665, 565950464, -44406306, 366014608, 2253258064, -723292992, 2090180221, -1078770160, -711943623, 655028224, -771298268, -335470680, -2671789172, 201532928, -2512182681, -110823960, -165483382, 467679744, 1441630772, -3846048976, 1886001801, 792825600, 70215825, -2483032176, 380295972, -439975936, -3251935458, 180803240, 2404465584, 3229400448, 5201417077, -1493712072, -709946055, -484169216, -2259809307, -1269146640, 2364418359, 508830272, -3168404094, -3292854968, 3171922974, -307777536, 1446060916, -2783711616, -1085821500, -330234432, 566038975, -799229736, 239226730, -889292288, 4578009822, 1493662968, -4767363785, -193524864, -4755582900, -1616121664, 3116281806, -586678272, -2435833202, 3065338800, 1911052462, 112284416, 20332050, 1907666888, 8246746356, 242314752, -7047680492, -1663151368, 1088049753, -3046027264, -200703691, -3020865696, -7514963095, -52219904, -7209856248, 951023016, -1753419653, -2250016128, 1081648083, -691948520, 2296363206, -496132608, 2111437421, -2314033872, -1096884421, 2190940416, 1573191954, -2219287248, 3867646720, -1139736576, -221212958, 1260334192, -10028119383, -1685076032, 8139721832, 2721440592, -5495848828, -771458560, 6884438460, 5603953328, 2447625944, 2391569664, 416509317, 736766344, -4855259835, 1060634624, 1242824568, 1878397776, 7811919125, 3035430720, 7705715544, 3321619768, 685523607, -1429083648, -724351270, 2693091568, -6705861210, -4113894144, -3635900154, 3795413328, 1059923442, 268435456, 515392119, 171177376, -341492094, 2694232704, -1446894385, 725902752, -7234035030, -2788329472, 3453937964, 1619443872, -1418164955, -503167680, 14873898969, 7340704680, -3739706712, 1052884992, 2175938635, 1782825376, 7082883864, 982428288, 5067133808, 4439072160, 3239589962, -946288128, -3686830092, 2649659664, -4815906926, -1542544128, 3345818233, 4829659672, -135795138, -1056964608, -6492864192, -10489409640, -11619716704, -706917632, -5659152741, -3944837680, 87445391, 3499040256, -4801336206, -5559594200, -951429804, 357064896, -1035609131, 4328034912, 6430572388, -1835692032, -3470981976, -5760147280, -2371216662, -2006229120, 3616461674, 863673864, -344408274, -1749598208, -1226048120, 1908557904, -1567671536, 2789079424, 8588037705, 627871728, -12984423455, 224133120, -10177537826, -2291959424, -604615122, 1929205888, 10208769210, -7574721744, 115455998, -1279908864, -18242909388, -1811776296, -8599477971, -6248627328, -1776096896, 8381289456, -6586657404, -611368960, 942614632, 1702642896, 4778203941, 2125180224, 12682220361, 9205961432, -9665943252, -5160731136, 4017914078, 3678020232, 6503006322, -2786798336, 2841141010, -119385552, -6907981886, -449511424, 3679738227, -6942515224, -6971739140, -1995840, 610465103, 6048197376, 15397815444, 2572936704, -640921749, -2411405424, -4879507894, 5408645888, 5576401773, -6060170464, 7973327040, 3643625472, -4606299932, 1822660952, -1763119668, -68844544, 2979396000, -20851417656, 2223532351, 1350106112, 10580161041, 4882040328, -6692323338, 253819200, -16326001966, -1045107616, 17620150122, 325058560, 9969203262, -4225371816, 17982932369, 8291648832, 18473060766, 1769951232, -3413242942, 1275595776, -3872482392, -14051580392, 22425336540, -5494782464, -6488103807, 6141274776, 2652361767, 1389076480, 11775508839, -11719856040, -12499663903, 7649784192, 575928479, -6930157000, -11978560881, -5150389248, 3073977453, 4001190192, -3690809033, -12288284544, -758983746, 7591755168, 6140674813, 3401220096, 3784196458, -13443639392, -8841454587, 1820918208, 9097667737, -3178801200, -13534315590, -224985600, -247643679, -5924038496, -3532365848, -375324480, -16406966225, 406796784, -3012360384, -343527424, 2059313425, 25324230336, -5317369677, 15315395328, 16240620177, -5279738728, 32046753285, -1317336576, -8904266910, 5202486904, 15793369308, -14178001344, 4308034970, 6153657912, 1023774340, -863764480, -17161679670, -7931954088, -2648997888, -4814292672, 4483785168, 20741669968, 14808625668, -1795153920, -19413440428, -11093678568, 20581532524, -16374912, 16128956313, -5339209728, 16326363130, 8590307328, -12686462628, 752734096, -2630768892, 5549991680, 3806039207, 3487538568, -20953293772, 9729971712, -26537248998, 13838309976, -1391634153, 7978523136, 21404664762, -15441004640, -45046293564, -2704179200, -2275161186, -25925855472, 21430472647, 4664943488, -6101471463, 6325542168, -1720808356, -7766980608, -41466036201, 2080827512, 3444737544, 2758754880, -11266127433, -16350931152, -3951379328, 6025318400, -33041438484, -2922558872, 11938601146, 6437931840, -4195201063, 13070208408, -24098448642, -544330240, -38759594076, 19065546288, 11277271233, -2655396224, -31877242929, 13268371184, -9756460059, -1157627904, 662929412, 19999216248, 18656941620, -5951547264, 1749931257, -21927387816, 30693532228, 3017485312, 4031349426, -5666209080, -2326092670, 26786190336, -8289176986, 8415013320, -1391939829, 4527603712, -23428967278, -355250448, 11329627913, 2928116864, -27582189138, 18026064512, -5106893268, -5786343936, 20993579042, 16721441768, 4007776224, -8630161280, -16492436991, -5695548984, -25082903475, 5240225792, -31439466900, -6170386144, -5250971247, -2683765440, 67477493664, -21374313376, 19533721482, 1612263424, 45209358288, -20097461448, 8559538791, -886591680, -3997352337, -1323867056, -47185380116, 3741437952, 575257471, 11533046176, 53356637142, -30768391808, 34168698729, 15088014408, 46617305812, 6342604800, 35992733334, 561726600, -21329434039, -19864257408, 17322243615, 3042367776, 15133792350, -3519807488, -13662476856, -26015483664, -26056486854, 1446425920, -13601407788, 19235724672, 7802416610, 25835203584, -31231984589, 41611336616, 38772460644, -11949696576, 61355833857, -5679568440, 25053257457, -3873353728, 3141559044, -18078474456, -5281049218, -10153173120, -8384844444, 18915346872, -14384989737, 4070642176, -1116381210, -25347232752, 37307492801, -26342839744, -53107025796, 25375383792, -18597456912, -2462220288, 7986143802, 11568487328, 16315760136, -22269692928, -14324443364, -8686572000, -3411357855, -2641875456, 53821918764, 4528311800, -56876684529, -6393837888, 22982404613, 1913813840, -15682108365, -7114338304, 28150427835, 36624078576, -20164980559, 11949303744, -30303858420, -38138910280, 16577645344, -1548198912, 73473975348, -38044663200, 9072685341, -12928973312, -10089760475, 24930254448, 38168628666, -4693426176, -84058356801, -19486665616, 4945305028, 24522710400, 17257443399, 15288419696, -60845503122, 898275328, -22791278554, 162656400, 7579420951, 15261335104, -5120202870, 65973970848, -18685572486, 1938518016, 10922970168, -56381443936, 57747693606, -13305210944, 5851551159, 8704398024, -6445655795, -24368218112, -22345459668, -1605629528, -18446983190, -24166925568, 1156140790, -60119704760, -3395196918, -417759232, -16528163425, -57678849984, -7581746548, 7608184128, 41870626485, -14027357224, 23840366697, -18000129024, -65932084022, 8653184664, -46811629371, -5535588160, -82005708497, 18370905648, 54685857688, -3969060864, 38571380604, 16891499368, -52831316268, -18512270976, -11077532211, -8775075368, -58472818173, 17527523328, 8068502126, 12585535632, -77167188371, -17754297984, 8556613710, 30941173760, 26406017112, -9117892608, -7845856158, -1769703664, 20916558144, 10082673536, 32192715948, -80224955064, 39895808208, -13480608256, -6265264383, 65117774656, -56454514168, 21771524736, -34797971391, -43966790624, 125315534199, -6171668480, 50857660964, 55075507680, 27617114100, 44831626624, -42891184854, 19581007552, 21356957214, 19132557312, 55297367054, 3332074536, 48384221130, 5894130752, 58333044344, -38842078680, -35436537814, 8485076992, 31480933191, 9942596544, -93427501067, 15027182208, -10023849271, 62495353000, 532156014, 24283445760]