# Trace form for 825.6.a.r, downloaded from the LMFDB on 12 June 2024.
[0, 9, -1, 81, 171, 0, -9, 57, 177, 729, 0, -1089, 1539, -723, 720, 0, 4147, 2804, -81, -1601, 0, 513, 121, 2392, 1593, 0, -1987, 6561, -4436, 5966, 0, 21575, 25493, -9801, -3098, 0, 13851, 10228, -12765, -6507, 0, 13304, 6480, 13829, -20691, 0, 81283, 13998, 37323, -19468, 0, 25236, -37131, 44166, -729, 0, 79160, -14409, 7635, 11626, 0, 49481, 94479, 4617, 109367, 0, 1089, -26567, 119506, 21528, 0, 78454, 14337, 100086, 162360, 0, 194115, -6897, -17883, -8478, 0, 59049, 52700, 157476, -39924, 0, 251663, 53694, -21417, -65548, 0, -106849, 350115, 194175, -35742, 0, 229437, -116757, 14949, -88209, 0, 68454, -27882, -74156, -204193, 0, 99828, -157140, 124659, 250339, 0, 92052, -123536, 493106, -114885, 0, 271371, -58563, 486560, 118592, 0, 131769, -392462, 119736, 815175, 0, 58320, -200526, 1017305, 124461, 0, 377572, -186219, 227967, 272234, 0, -604294, -345166, 731547, 1411926, 0, 125982, -1301483, 87483, 335907, 0, 485134, -175212, 365344, 832120, 0, -113325, -1252723, 227124, -87120, 0, -334179, -1303231, 892158, 397494, 0, 391976, -6561, -127265, 1124256, 0, -798535, 11068, 712440, 939862, 0, -129681, -1973021, 1608066, 68715, 0, -501787, 104634, -1396847, 1273072, 0, -1637529, -3569846, 445329, 3835185, 0, 850311, -339284, 1527754, 41553, 0, -755290, 984303, 168527, 2216555, 0, -458631, 433254, 9801, 2274213, 0, -239103, -3811843, 820518, 1075554, 0, -553923, 193752, -1388711, 193721, 0, 1379699, -3467252, 706086, 1496583, 0, 129033, -569363, -231229, 900774, 0, -313142, 1461240, -1396335, 5837100, 0, 2547846, 1281422, 1747035, 2590859, 0, -62073, -6562095, 295198, -160947, 0, 2717216, -76302, -82898, 4412062, 0, 2762119, -14641, 531441, 6109066, 0, 474300, -1401801, 4021557, 1417284, 0, 2640342, -359316, -289432, 7969958, 0, 6341411, 1110162, 2264967, 4752032, 0, 483246, -8220349, 1270782, -192753, 0, 5165632, -589932, 51882, 1530462, 0, 3960482, -4027242, -961641, 3845939, 0, 3151035, 1717857, 4281167, 1747575, 0, 3255154, -321678, 782699, 4235565, 0, 240427, 3284704, 2064933, 3158373, 0, -1050813, -3755786, 457908, 134541, 0, 8861304, -793881, 1124520, 6461872, 0, -197691, -532972, 616086, 5001363, 0, -250938, -494147, 536756, -667404, 0, 1141170, -1837737, 5144587, 1744124, 0, -116270, 1138338, 898452, -721886, 0, -1414260, -5406280, 10134416, 1121931, 0, -3307628, 2253051, 11662756, 1801334, 0, 2415760, -3504211, 828468, -2418018, 0, -1111824, 1718473, 5569190, 4437954, 0, -2610575, -1033965, 354483, 1381321, 0, 10931001, 8552472, 2442339, -4726602, 0, -527067, -3084653, -1752328, 4379040, 0, -9317875, 1067328, 9882834, 9063656, 0, -854854, -6088558, 1185921, -8549726, 0, -3532158, -8577105, 17210755, 1077624, 0, -1000522, 7336575, 5804539, 374858, 0, 16674854, 2566888, 524880, 1433307, 0, -1804734, -19230235, 8009270, 9155745, 0, -3140586, 1120149, -387121, -685158, 0, 6852410, -4211949, 3398148, -13317709, 0, -1675971, -1835927, 1027993, 2051703, 0, -6010864, 2450106, -3544839, -13636615, 0, 13565838, -1237588, -5438646, -3993773, 0, -3106494, -23310627, 8106490, 6583923, 0, -11646889, 12707334, 1544565, 12920694, 0, 2136784, 4033896, 1133838, -29340060, 0, -11713347, -3276113, -16106661, 787347, 0, 10731434, 3023163, -5744541, 2296798, 0, 2297043, 5302216, 4366206, -4589365, 0, -1576908, -14010340, -11918336, 3288096, 0, -13454960, 7489080, 19506228, -2427942, 0, -1609784, 12424126, -1019925, -28611467, 0, -11274507, 1513914, -9468718, 2044116, 0, 6397758, -784080, -16574716, 3849687, 0, 2896362, 5500542, -3007611, -3505369, 0, -11729079, 15426736, -1673309, 8029422, 0, -26947442, 3577446, -1691464, 7616404, 0, 6413642, -12527538, 3527784, 2503611, 0, -59049, -3494729, -10753066, -1145385, 0, -3690400, 10118304, -1192216, -12551155, 0, 9795507, 10095698, -7186815, -5191731, 0, 99612, -14862888, -16709890, 6411960, 0, -9835243, 8458758, -8354438, 4063316, 0, 16409986, 44670597, -1167129, -39862853, 0, -17757189, -1693758, -35196230, 14472594, 0, 13550632, 618435, -18324743, -20453681, 0, -30275204, 36114246, -4516083, -6854619, 0, 941706, -37386568, 2400206, -12571623, 0, -52762274, 11457648, -24557296, 2355628, 0, 4340143, 28540294, -14737761, -54854346, 0, -32128614, -6799000, 8191215, 4007961, 0, -2142806, 34516665, -28083334, 2523862, 0, 50842499, -7447488, 7652799, -29923793, 0, -3053556, -12311358, -41156234, 13749786, 0, -41556386, 373977, -77490201, -213320, 0, 44397137, 4492851, -6797610, -37719306, 0, 8858727, 16508527, -246405, 1516743, 0, -24438830, 19948995, -5344086, 25441194, 0, -30853428, 41597720, -4127679, -25105563, 0, 3899286, -32544716, -20746838, 88209, 0, 13427804, 20467917, -17685735, -9388494, 0, 17084325, 14470850, -2151927, -51165276, 0, -34306587, -201980, -25699935, 7384662, 0, 22070288, 9679986, -3923250, -55771528, 0, -9578360, 35912286, -4985307, -28735179, 0, 1743768, -24715937, -48973550, -12498399, 0, -16729232, 1743489, -86221332, -32830394, 0, 49975191, 32181442, 12417291, -28951952, 0, -31205268, 21226062, -923835, 6354774, 0, -685196, 13469247, -26763652, 9917196, 0, -11248130, 27993274, 1161297, -1406746, 0, -5124267, -18643532, -13838780, -2081061, 0, -35016444, 8106966, 9165494, -1093262, 0, 47630924, 33527762, -2818278, -65597217, 0, 13151160, -40046646, 68372150, -12567015, 0, -5987201, 52533900, -55051702, -8382804, 0, -28982602, 57999894, 22930614, -47762945, 0, 11532798, -11431959, -40926432, 15723315, 0, -45068526, 23317731, -16355505, 34237658, 0, -12390844, 112998381, -558657, 10339492, 0, -59058855, -12793766, 104062621, 2656782, 0, 10866978, -1448523, -49056132, -13233407, 0, -20507053, 13636990, 24454944, -60222633, 0, -686718, -102031001, 20518008, -746082, 0, -80458030, 39708558, 3928586, -2246450, 0, 74957808, -45993418, 24859071, -119688806, 0, -131769, -42341931, 44308222, 4782969, 0, 7191362, 54981594, -7390614, -38257655, 0, 92627941, 3214607, 4268700, -25142882, 0, -12616209, -43324612, 20510178, 36194013, 0, -125584258, 12755556, -14460226, -31373674, 0, 5660804, 120017014, 23763078, -110862817, 0, -3233844, -49650337, 84672676, -2604888, 0, 40395054, 71729622, -98917407, -74662259, 0, -54847041, 4309708, 57072699, -55044851, 0, 9991458, -99282770, -26249258, 20384703, 0, 52940005, 42768288, 68489478, -53859692, 0, -9492934, -25525002, 4349214, -83808347, 0, -73983141, -25089721, 46370551, 11437038, 0, 43892506, -1734777, -116146087, -25445376, 0, 1446385, 50094676, 46490688, 56998458, 0, -5309388, -40619939, -12110406, 466938, 0, -102991293, 13774158, 9227951, -4930170, 0, 38914597, -32035930, 35644338, -19645560, 0, -36245178, -19702861, 56365242, -8654769, 0, -21197068, 34613451, -25814431, -63120049, 0, -19847882, 25967980, 28359315, 10325306, 0, 15460713, -136330327, 95188192, 38530503, 0, -23487915, 15728175, 19237448, 25379158, 0, 118921849, 80016530, 29296386, -25543880, 0, -2895102, 834537, -160029772, 7044291, 0, 35679686, 38120085, -941721, 122045168, 0, -90515647, 52418876, 2163843, 69010676, 0, 29562336, -67801086, 18235736, 18584397, 0, -123460503, 28425357, 42451542, 1025838, 0, 54193017, -63033615, -9457317, 7754791, 0, -33802074, -82979969, 129843148, 4121172, 0, 109202076, 1210869, -107647435, 146621036, 0, 84649946, 30658222, 79751736, 14671378, 0, -7144929, -90616360, 24108538, 10120680, 0, 43610280, 58156848, -8746093, 111966136, 0, 109186576, -6376700, -1779219, 143776666, 0, -4796748, -43374480, 85977881, 5544774, 0, 80699908, 45012267, -19054596, 152990652, 0, 5422634, -28007554, -2258442, 58928785, 0, -4447323, -203899386, -51273862, 4830804, 0, -31697481, -6006636, 6129801, -5202058, 0, 31588928, 35898902, 10270530, -73037152, 0, -16539633, -9783973, -73484696, 46301283, 0, 140717686, 15697116, 39186926, 95030908, 0, -30451223, -7898284, -1046430, 25593686, 0, 10245042, 8564490, -80464608, 8086068, 0, 95111008, -6496974, -38991396, 155513984, 0, 123630316, -34406430, -12728340, 78005590, 0, -48656520, -15018332, 2591457, 91209744, 0, -68722952, 10097379, -49596604, 19130101, 0, 110753146, 75035342, -29768652, 7931308, 0, 20277459, -123926693, 23689694, 104964804, 0, -128755700, 16212006, 4742533, -39605078, 0, 17623747, -1567715, 21741840, 93859652, 0, -31537899, -79450834, 35793036, 7456212, 0, 12928729, -21762162, -137521442, 54353024, 0, -75973116, 31628314, -10006416, 74157567, 0, 15466257, -42363915, -17892834, 50122710, 0, 11201114, 39941586, 185883434, 236197372, 0, 139214359, 33817152, -23495175, 111060055, 0, -9305685, -114634576, 253539423, 3190347, 0, 44787340, 12431889, -37411403, 4324782, 0, 187703910, 41937826, 98379009, 20732925, 0, 76972248, -59583223, -66272368, 21981051, 0, -188707009, -42539418, -223138427, 19510220, 0, 144521183, -74025004, -4743603, -135932476, 0, -27761877, -81762115, 223782102, -15770952, 0, 180784736, 39411360, -36148619, 93118616, 0, -15687322, 14127597, -83860875, 141489549, 0, 9605952, -305135398, 2560248, 88945506, 0, -198155328, 81572904, -1808829, 248103086, 0, 187870830, -332203965, -7693686, -50896630, 0, -54797022, -35565027, 10982466, 10673289, 0, 79541932, -76947534, 26080585, 172112451, 0, 30805013, -114971428, -31789422, 45859631, 0, -77193945, -209138045, -74533184, 154896795, 0, -139144098, 9698616, 316426718, 70997646, 0, -8282934, -24547127, -9004698, -287254307, 0, 66029175, 65810077, 24368983, 52240851, 0, 72237574, 3373722, -201974009, 272486894, 0, -15756364, 50371472, 150073686, 131368239, 0, 23101992, -128284638, 8972876, 4723920, 0, -180638635, 12899763, 437480664, 119650506, 0, 128946005, -67056043, -16242606, 24707353, 0, -173072115, -54017770, 196140286, 72083430, 0, -46060408, 82401705, -10549651, -151497592, 0, -70897785, 191401042, -28265274, 251033219, 0, 10081341, -229568950, 27851298, -3484089, 0, -12079188, -6166422, 195396806, -40251132, 0, 18868871, -355922888, 61671690, 9854570, 0, -37907541, 19013940, -33774913, 30583332, 0, 220342160, -119859381, 117089190, 470160340, 0, 89163024, -10845786, -15083739, -75592136, 0, -16523343, -80767656, 249691566, 9251937, 0, -47830739, 18465327, 251521334, -30291019, 0, 121102214, 132327344, -54097776, 59018610, 0, 22050954, 47328926, 53069196, -31903551, 0, -13440878, -122729535, -19815546, 122157006, 0, 18944751, 11287974, 122092542, -41398676, 0, -11138292, -240935012, 103783830, -48947814, 0, 104591178, -35943957, 184165832, 39270304, 0, -46273844, 14947856, -27958446, 41887057, 0, -209795643, 49291136, 33813722, 72958410, 0, 94274800, 59255307, -59665826, -105087649, 0, -207914418, -101332942, -104822001, -10325902, 0, 114366006, 260863280, -32906760, 13901085, 0, 82020068, 116286246, 316130346, -56905260, 0, 131874027, -297256176, 19231056, -362108538, 0, 36305064, 64280569, -298074304, 10204542, 0, 83244770, -264060540, 66390763, -110505231, 0, -32835891, 71766244, -105420123, 1003929, 0, -29485017, 187190127, 3727960, -144959949, 0, -129181778, 7086123, 256395400, -157022900, 0, -100484193, 31782446, 96582906, 5518914, 0, 27208467, 331566435, -58873760, -51700869, 0, -69600574, 20671182, -171704431, -252269180, 0, 184279338, 163287514, 20673387, -14349632, 0, 47719944, 413937272, 162525886, 39295854, 0, 85101442, -41304285, 36317497, 30095404, 0, -66296846, -295003350, -14192172, 105105690, 0, -126093060, 36086157, -178689719, -107265024, 0, -15944049, 29592864, 39804581, -316948313, 0, 126761674, 58076530, -121094640, 117302146, 0, 67401720, 47487902, -35548766, 175556052, 0, -137472616, -21851478, 457424828, 183641594, 0, 65329069, 10614978, -14488056, -68462221, 0, 111817134, 171031894, 89521804, -9179325, 0, 376333422, -257503203, -122366544, -98636175, 0, 166763396, 93989072, -101470563, 44430549, 0, 13625226, -46719138, -132026566, -85218462, 0, -167075015, 18397044, 93841128, -156625450, 0, -141665725, -235083908, 57579822, 11086115, 0, -7056720, -3284406, 447114988, -149172444, 0, -38678770, 34647183, 172827375, 228368622, 0, -312478987, 24263646, 26067258, 324526155, 0, 49504878, 223244951, -126515906, -27068499, 0, 393082028, -31548321, -123093905, -198535880, 0, -133003736, -334769281, -105561711, -528681516, 0, 138840624, 392322401, -91087892, -15059781, 0, 50449768, 72264798, -65542744, -497873247, 0, 100026243, 111801572, -242526978, -245035531, 0, 32197014, -147972482, -232241106, -15223176, 0, -205447758, 68547636, 255664668, 113794782, 0, -45686212, -347189350, 57722778, -394788346, 0, -112747842, -219797897, -483663858, 31750056, 0, -22618726, 22532499, -167718471, -215067647, 0, -25332630, 373299256, -531441, 500403148, 0, -31452561, 333136920, -27584007, -96777594, 0, -320451435, -10308465, -232337127, -468704422, 0, 128936577, 577669447, -33213600, -32940314, 0, 91064736, 690920621, -61568750, -10729944, 0, 182834084, -112960395, -384376356, -489430092, 0, -116102956, -95611626, 88159563, -122313306, 0, 90861282, -153550082, -119640968, -64681335, 0, 73119574, -46725579, -337401382, -24763168, 0, -364027902, -172791719, 896508, 307028354, 0, -133765992, 41765086, -177751437, -150389010, 0, 263955268, 57707640, 14110900, 238852288, 0, 148511708, 597273666, -88517187, 271213402, 0, 76128822, 160685060, -18384, -75189942, 0, -224066598, 36569844, -709665609, -170843046, 0, -348877937, 402517087, 147689874, 193577438, 0, 402035373, 229769848, -265614768, -10504161, 0, -155205074, -358765677, -377016857, 151195370, 0, -426640466, -88243822, -159814701, -27412635, 0, -15243822, 864434847, -24113390, -316766070, 0, 472714086, 130253346, 389966668, 529484098, 0, -488358089, 157479443, 121955688, -112653150, 0, 5565915, 269178715, -520458805, -164922687, 0, -156803930, -184083129, -10585443, -611771410, 0, -552960207, -87610688, -272476836, 398489135, 0, 325028214, 532261640, 6278380, -40644747, 0, 265057998, -61691571, -54838304, -361354720, 0, -144562274, -17290653, 8475354, -734034994, 0, -336479112, -7320382, -879889046, 21601854, 0, 85338978, -113144607, -324925407, -843863887, 0, -58701214, -79934646, -474860466, -302785869, 0, 103118832, 345763207, 201135352, -221015664, 0, -930596663, 21200652, 190458708, 6112582, 0, -336108369, 41314702, 39061287, 373749722, 0, 256862646, 308351476, -44206624, -132639849, 0, 93983858, -493689114, -565694764, 296530575, 0, 332849634, 289554028, -289157526, -100686520, 0, -61191000, 583171639, 49921518, 73720935, 0, 108297356, 36071649, -953315983, -784780260, 0, -388114084, 107938050, -19285254, 366747477, 0, 310649985, 40568578, -512878294, -252750006, 0, 13712325, 22714758, 253253937, -1199815289, 0, -9749564, -299004832, 457582491, 352625958, 0, -67027392, 151579483, -357200858, 68875191, 0, 123502480, -269314137, -78944004, 308978876, 0, -329338859, -38407530, -27482004, -155771366, 0, -110802222, -539154255, 277133128, -370406106, 0, -93781192, 123748074, -354539693, 10541520, 0, -1197568004, 402990968, -374007474, 391592320, 0, 3365793, 307184416, -416430094, -697411809, 0, -97407310, -1919880, -379460384, -131916696, 0, -332468060, -1270292457, 399574233, -588027808, 0, 40435659, 342879822, 291514854, -61178490, 0, 241607586, -339473754, 78159744, 968070114, 0, -1137655249, 157690951, 79728543, -223849803, 0, 148576743, 339997413, -77856674, -2217645, 0, 348005866, 13650687, -107951118, -373038890, 0, -546045479, 66315670, -219949470, 88988103, 0, 179540955, 18057744, -493075397, -48096774, 0, -26044300, 228970746, -257150072, -559983285, 0, 217367448, -305405314, -277680852, 204090391, 0, 374379480, -58602005, -258278646, -37149111, 0, -448627412, -225950067, 649624716, -402115810, 0, -47429096, -428471494, 35093574, -860075710, 0, -292902444, 172672677, 401787970, -186721542, 0, -713956324, 793881, 298845585, -554935888, 0, -169456586, -63067434, 120850236, 362254761, 0, 184211253, 931884000, 15399065, -159171615, 0, -584808209, -84496446, -156702731, 79835704, 0, -109365487, 499505156, 153758925, -136034976, 0, 130237650, 416151128, 934247550, -19367343, 0, 402928684, -460487484, -82671980, -909109666, 0, -704439997, -230258170, -308759283, 608379452, 0, -1817820, 572075430, -328058418, -231299415, 0, 96622735, 66461958, 695332948, -1134881124, 0, -273773212, -59003146, 198632592, 363936190, 0, 87119874, -1339228, 185304066, -35309250, 0, 412735894, -501943752, -329014467, 319846094, 0, -303842109, -427676796, -86205240, -500601472, 0, 323210574, 491203591, 221621962, -44867763, 0, 421411127, -258616611, 261543125, -113723302, 0, -535397747, 82411525, 15693912, 791593214, 0, -222443433, -19807373, -514212816, -440761950, 0, 121452730, -112485591, -268773493, 139108534, 0, -741513600, -220161530, -150563088, 518131660, 0, 15691401, 939000828, 864336798, -775991988, 0, 495433428, -295473546, 1482664980, 188448154, 0, -653433837, 238735541, 449776719, 1391691076, 0, 289632978, 144968978, -758041838, 111755619, 0, -75917952, -260567568, -194575986, -713945958, 0, 252500584, -382762348, -280847412, 62917792, 0, 191034558, 962879264, -210488916, -8314515, 0, 1046661412, 57192966, 957656490, -76744146, 0, -322040792, -355942240, -6166764, -636926958, 0, 121223223, -105397490, -1475068870, -240872868, 0, -36283966, 89254764, 379917303, 147144676, 0, 60716227, -434815674, -101233170, -1057705281, 0, 251939466, 872334978, 1026572942, 10451673, 0, 270245882, -12660714, 867448637, -6047438, 0, -28461081, 253340686, -46118403, 571107146, 0, -167791788, 227283636, 169018487, -124549020, 0, -199325888, -18729549, -187853521, 473754999, 0, 1078708107, 304025514, -315147996, -154041712, 0, 72962694, 1533906492, 560938484, 82489446, 0, 461226735, -9839358, -230510581, -771808512, 0, -70469915, -1484325852, 428678316, 1779171619, 0, 301749858, -266363692, -700174592, -25364502, 0, 198141009, -590374953, 202229922, -807914658, 0, 82468188, -498199366, 118360440, 844172875, 0, -360419814, 431951366, 546750652, 615349350, 0, 978740182, -113103135, 204627456, 44167420, 0, 101901164, -256107588, -53884809, -101661348, 0, 472805100, -394418641, 334986134, -495465318, 0, -315907348, -75445236, -276574691, -464057385, 0, 318122022, -206681792, -260843418, 274281263, 0, 521999046, 203602326, 195969576, 206375526, 0, 1220159170, -429866505, 110648971, 563553726, 0, 137549325, -446569982, 103795182, 317134336, 0, -102887631, -380826588, 907061865, -368337888, 0, 191799628, 141509835, 608233778, 1230992060, 0, -242220467, 41053364, -405616734, 1527361194, 0, 209859579, 222770688, -130299882, -147199545, 0, -132673784, 308138922, -184858234, -502970816, 0, -486121295, -197575186, -111517596, 676351092, 0, 1016985429, 158494131, -1941513985, -5027913, 0, 645100158, 93055428, 522027793, 1717884525, 0, 1907553974, -749662102, -531529695, -623042681, 0, -115143894, -271281689, 102970342, 936563589, 0, -904988093, 23911038, 446299319, -558605994, 0, 91390090, 1447712045, 97802802, -1765611172, 0, -13036707, -117761100, 1080975748, -441505188, 0, 237893034, -119100663, -153750551, 786241236, 0, 928912782, 22875392, -184563477, 1510361167, 0, 122732910, 751751696, -20391767, 220094496, 0, 305188156, -542003697, -270366772, -187504080, 0, -422085882, -321201082, -6180462, -268203155, 0, -918279009, 344592811, 788644365, 184662072, 0, -285521266, -6714738, -13367279, -1522702650, 0, 1136386422, -739599922, -724122270, -10123165, 0, 357377022, 403321304, -163730040, 35357274, 0, 55494351, -20218050, 1621190533, -706098722, 0, -176505038, 407946242, 674620272, 834035971, 0, -413940762, -52423734, 405353178, 223731639, 0, 681547772, -1077199254, -532673816, 2791066025, 0, -11592550, -420215806, -1185921, -86569371, 0, -381077379, 407067776, 1291478378, 398773998, 0, 352319538, 43046721, -38914053, -275179773, 0, -576839547, 896999899, 64722258, 1178322532, 0, 494834346, -906504501, -696123628, -66515526, 0, -316957434, -344318895, -331115621, 2008296523, 0, 787453744, -1087111486, 833651469, -150416353, 0, 28931463, 446192086, 798395488, 38418300, 0, 636782354, -226285938, 2732565208, 1433434914, 0, -1408316249, 461233003, -113545881, 2176677567, 0, -389921508, -1006536296, -1492032267, 184591602, 0, 427503976, 325746117, -99282678, 1069419343, 0, 269328023, -466703486, -1130258322, 292356307, 0, 114800004, 300767780, 88221098, -130142034, 0, 492845914, -282363066, 1537842974, 146511950, 0, 250031363, -1224455420, 50947236, -850128103, 0, 1080153126, -313578974, -2104611284, 213867702, 0, -597345064, -997765353, 575935714, -66403398, 0, 67024683, -936607070, -29104596, -1098042953, 0, -446853033, -428443141, 1451471922, 762054084, 0, -367362516, -23443992, 1168896476, 691559630, 0, -64872361, -214449424, 363555486, 2729295329, 0, 645566598, 274485726, 168034031, -890256663, 0, -1131433612, -671960331, -267503405, 1894042950, 0, 91602002, 249403314, -493623369, -23440241, 0, 38787372, 1612442984, 369752360, 513654291, 0, 1427497143, -495403659, 1388831792, -438062216, 0, -237907919, -1738749491, 89923122, 1969881449, 0, -893544930, -892007080, -525190462, -236243322, 0, -166943579, 183462327, 184159168, -1471754438, 0, -108550369, -1166227862, 476460045, 561011880, 0, 384914592, 419537492, 662940892, 616405302, 0, 682843826, -484737228, 413800528, 679918354, 0, -2048242173, -524460564, -85436406, -707007676, 0, -229725018, -1515940329, 410659938, 39142926, 0, -468654762, -754275123, -1725513891, -181086543, 0, 1448128375, 861458574, -665848269, 1754848667, 0, -225807489, 423044176, 17934392, 417334959, 0, -170320542, 102933342, 312916984, -122473078, 0, -261277433, -1956309960, 395032554, -2158575659, 0, -15612993, -650627692, 752936098, -1045314783, 0, -270984794, -229008384, 1622337843, 3992089856, 0, 633693031, 68892923, 13017465, 760732137, 0, 450852084, -1295581681, -1238943072, 418416192, 0, -386079978, 512986122, 27978709, -255996780, 0, -1254639519, 452381078, -47784492, 769643608, 0, -365579451, -227204480, -1685787154, -108993654, 0, 480219704, 4202442, -444331438, 196894550, 0, 1829321388, -857560686, -926921637, 701173082, 0, 123967422, 100928168, 86654424, 83051559, 0, -714192922, -44371530, 1470800414, -785328896, 0, 37890182, 796311109, 350231373, -1281468444, 0, -288323370, -977057345, -1599784092, 320799042, 0, -99425812, -176810040, 1299029990, 136553684, 0, 700197618, -1269644890, -326206602, 703358696, 0, -177325749, 1937358090, 168956535, 507287178, 0, -1852469960, -77892921, -318521283, 367032504, 0, -304018348, 134964438, -190773612, -706289100, 0, 311521059, 182187360, 1905587045, -232329879, 0, 230672114, -568080441, -1118867987, -1329474912, 0, 330784978, 851197764, -178630938, 535633314, 0, 233711820, -1312805332, 1681077298, 255233835, 0, -308289366, 92927754, -689606075, -1474994504, 0, -771060604, -1821930978, 139146417, 1750024561, 0, -1226972943, -155052062, -774219140, 856693728, 0, -186593402, 346774527, -221241144, 2208674312, 0, 493220158, 311917420, -211391235, -115169557, 0, 141553575, -2055359116, 864051952, 173137032, 0, -1699189706, 228412422, -1024015240, -313493939, 0, -804766995, 1397238645, 1070296641, 325167056, 0, 720148770, -1167000878, -1027821506, 263667474, 0, 821794898, -229894920, -1213751526, 1736374970, 0, 86241816, -338666124, -26055918, 175684835, 0, 7510833, 1441381778, 2133745422, -1440267948, 0, -583650558, 63398619, 1467992257, -407169176, 0, -1660009450, 794013495, 321117174, -622960090, 0, 343080765, -518389643, 466967488, -8475489, 0, -1081899838, 1098406512, -35718958, 1053588283, 0, 1957353279, -2309167074, -814640823, 23513957, 0, 471769884, -442103002, -1591566502, 19474587, 0, 2425893632, 621096084, 1603860552, 4335294, 0, -302909104, -1282309390, 266061024, -2760202606, 0, -610209774, -925388933, -1986196878, 164121624, 0, 42107782, 167259573, -732919709, -12575666, 0, -328783136, 804610968, -1111144527, -394240168, 0, 255828213, 1374517014, 2335955362, 382063878, 0, 348647264, 9232542, 677480884, 444414692, 0, -149991443, 573314490, 487737153, 327739872, 0, -567302535, 978695201, 10030658, -85115853, 0, -1555083932, 69793119, 82587759, 776676904, 0, 1579860015, 441619586, -304218666, -533859502, 0, -746819721, 2168508562, 1071616472, 1168588332, 0, 1802997693, 37090548, -1285649112, -2071122350, 0, 351187158, -268244165, 982818684, 2494946826, 0, 10897821, -1911955202, 1624343702, -968826915, 0, -334216399, 1319589324, -1016540075, -1102406288, 0, -1614273897, -243948824, 761849514, 1265982952, 0, 275923998, 1771561, 1007356084, 717765624, 0, 681083197, 132042402, -124429773, 1193654002, 0, -617173305, 2697249734, -64304361, -1601397716, 0, -815547240, -962126444, -126878591, 216976842, 0, -613121642, 91086120, 407233368, -739196986, 0, 3161219434, 1258246140, 392492520, -1085345231, 0, 523411632, -3533651384, 1886985716, -78714837, 0, 1372406444, 1007695224, -1209697903, 1008406576, 0, -587653072, -281617108, 982679184, -3144838614, 0, -57390300, -528398807, -287708453, -16012971, 0, 1547878672, 1293989994, -540682459, 2472005272, 0, 387726824, 169617921, -43170732, 2764868743, 0, -390370320, 191561302, 27102142, 773800929, 0, -2373347604, 49902966, -486608397, -2508953028, 0, -1056547981, 1465293092, 726299172, -38736481, 0, 405110403, -768789558, -3849616529, -171491364, 0, 383679882, 1376915868, 559225783, -1730581978, 0, 3256494230, 147166158, 48803706, -892684238, 0, -252067986, -131958889, -1364971702, -20325978, 0, 2066301440, 530359065, 2250604744, -811336682, 0, -319481382, -738491854, -40025907, -5214251604, 0, -1835094474, -1353248855, 2452808885, -461464758, 0, -418399742, 43477236, -1466505918, 353180126, 0, 1676960204, 1169023112, -285277329, 594547775, 0, -54059724, 1882461207, 35021272, 55168209, 0, -467570190, -46818522, -1651959602, -1337260476, 0, 208870610, 2366366671, 284300352, -964364918, 0, 323090118, 1800629851, 599906350, 92434770, 0, -797661016, -657334368, 62585439, -2036099701, 0, 2576351850, 7883030, -148856697, -215164865, 0, -88055757, -2945328520, -374918110, -661362264, 0, -767310731, 416711547, -321968915, -1069745646, 0, -342808871, 798492948, 1266459174, -1517423307, 0, 141274044, -134329602, -359709844, 352682334, 0, 668453700, 855278172, -1595339713, 1943884867, 0, 830212732, 3168124528, -274061007, -133036988, 0, -71084556, -819957145, 469405596, -9417870, 0, 41901932, 230343174, -4906295721, -574995872, 0, -601153665, 4318700463, 92205378, -2233501588, 0, 77080410, -1873412575, -121402519, -724181472, 0, -436915302, 72774612, -2365076075, -1500052386, 0, 396267994, -1238794900, 855999072, -1603784455, 0, -58472766, 1737903470, 1653198326, -350922564, 0, -217290020, 1399625856, 1420811857, 1482845934, 0, -437154705, 994662229, 1112672844, -143714566, 0, -309657870, -822698797, -3469266118, -114555060, 0, -1351292536, 702050310, -153764622, -1975870276, 0, -2231015314, -263697470, -437908680, -328113591, 0, -135164988, 208434577, 366308970, 23323113, 0, 3265802358, 820887696, -640785967, -721784534, 0, 112232506, -86443394, -618506568, -3015008636, 0, 90876411, -150673869, -1657486299, -446369436, 0, -772273646, 172170909, 1038937282, -1027494568, 0, -625041472, 846944536, 996778314, -4206178302, 0, 675318078, 1909042365, -313857978, -267917868, 0, -220479821, 71381772, -3107390054, 548896954, 0, -110458566, 778376308, 182497131, 2714603337, 0, -1115340237, 597841968, -6277722, 213207246, 0, -252075148, 944683236, -3065310690, -422589412, 0, 1443718510, 4336937918, -1158801300, -185185902, 0, 145908054, 1720817902, 1619823156, 42682797, 0, 2399895120, -356445702, -2247541260, -1820755214, 0, -1004902205, -63259204, 158613723, -253545686, 0, -14109435, -164070851, -531091723, 195676560, 0, -479218322, 844736868, 34893459, -4759106406, 0, 1813983159, -772295546, -283841091, -1129158622, 0, -715057506, 487296282, -892215776, 322137324, 0, -1922495110, 67105908, 1093134890, 1858120676, 0]