# Stored data for newform 105.8.a.b, downloaded from the LMFDB on 10 March 2026.
{"Nk2": 6720, "analytic_conductor": 32.800427675832786, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, 1], [7, -1]], "atkin_lehner_string": "++-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [105, 1, [71, 22, 31], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-18, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599761588329, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "105.8.a.b", "level": 105, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [3, 5, 7], "level_radical": 105, "minimal_twist": "105.8.a.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+18q^{2}-3^{3}q^{3}+14^{2}q^{4}-5^{3}q^{5}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "105.8.a", "trace_display": [18, -27, -125, 343], "trace_hash": 1294541833143010198, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.926", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.849", "prec": 17}], "trace_zratio": 0, "traces": [0, 1, 18, -27, 196, -125, -486, 343, 1224, 729, -2250, -8016, -5292, -1786, 6174, 3375, -3056, 8358, 13122, -5884, -24500, -9261, -144288, -77700, -33048, 15625, -32148, -19683, 67228, 155742, 60750, -310000, -211680, 216432, 150444, -42875, 142884, -433618, -105912, 48222, -153000, 357942, -166698, -724492, -1571136, -91125, -1398600, 175320, 82512, 117649, 281250, -225666, -350056, 132198, -354294, 1002000, 419832, 158868, 2803356, 2648628, 661500, 835478, -5580000, 250047, -3419072, 223250, 3895776, 3486308, 1638168, 2097900, -771750, -2872260, 892296, 5951882, -7805124, -421875, -1153264, -2749488, 867996, -1680904, 382000, 531441, 6442956, 3577524, -1815156, -1044750, -13040856, -4205034, -9811584, -6254826, -1640250, -612598, -15229200, 8370000, 3155760, 735500, 5715360, -5257054, 2117682, -5843664, 3062500, 15024954, -4061988, -16006576, -2186064, 1157625, 2379564, 5301048, -3857868, -6463402, 18036000, 11707686, -1048208, -14833302, 2859624, 9712500, 30525432, -1301994, 47675304, 2866794, 4131000, 44769085, 15038604, -9664434, -60760000, -1953125, 4500846, 13502360, -34448256, 19561284, 4018500, 12247044, 42420672, -2018212, 62753544, 2460375, 10230192, 12399978, 37762200, -5954332, -8403500, -4733640, -51700680, 14316576, -2227824, -19467750, 107133876, -3176523, -84989128, -31099026, -7593750, -14327272, -7202016, 6092982, -49490784, 38750000, 9451512, -58107154, -30256272, -3569346, 26460000, -26651100, 9565938, -23600428, 70156632, -27054000, 64395432, 26580144, -11335464, -59558721, -18805500, -4289436, -142000432, -70967070, -75690612, 5359375, 24496896, -71512956, -112586868, 115061424, -17860500, -2260906, -11026764, -22557906, -95104800, 54202250, 150660000, -66997728, 34362720, -6751269, 13239000, -80713548, 92314944, 70793906, -94626972, -6027750, 23059204, 75347334, -105185952, -157565104, 19125000, -94130316, 270449172, 53419506, -44230536, -44742750, -288118368, -56643300, 5458016, 47166144, 20837250, -222118276, 25910808, 77551020, 95418864, 90561500, -24091992, -106330000, -116341236, -160700814, 196392000, -14927388, 210738348, 140214608, -72606240, 11390625, -266999436, -113463204, 31138128, -100120090, 174825000, 74236176, 190628208, -372064038, -23435892, -21915000, 519131088, 45384408, 51602292, -95095284, -10314000, -286367158, 805843530, -14348907, 163753688, -14706125, -173959812, 10508824, -379440000, -96593148, -35156250, 55342260, 49009212, 622843200, 243042480, 28208250, -182427392, -59774898, 352103112, -148730974, 43757000, 113535918, 220446792, -123562212, 264912768, -16524750, -36327816, 168880302, 683316368, 429280314, 44286750, -548961424, -25542048, 16540146, 223199604, -125250000, 411188400, 332835614, -107177976, -225990000, -52479000, -454456542, -85205520, 82184900, -562962960, -19858500, 257698368, 122774106, -154314720, -340482509, -350419500, 141940458, 1166568872, 371449002, -57177414, -331078500, -530748432, 157778928, -559782468, 138772200, -82687500, -248500756, -257890896, -405673758, 17981504, -104434750, 109673676, -459953332, -538899648, 432177552, 697500000, -494972784, 59023728, 359666018, -1045928772, -31255875, -329457184, 184941774, -64248228, -1248427872, 427384000, -143128296, -479719800, -49178472, 104162436, -27906250, -424807704, 174511854, 438121008, 60134760, -486972000, 1025183636, 701194704, -316107522, 478442592, -435788500, 28301616, 1130727362, -1072056978, 400499154, -204771000, 2484960000, -77209848, 40353607, -886778208, -262237500, -1277407260, 628828704, -824186664, 905466662, 96468750, 35153838, 1696826880, -113857530, -1287233208, 359032500, -1225945896, -77403438, 2071105632, 271653708, -111537000, -859250283, -40696308, -1208765295, -120069208, -743985250, -406042308, 1350926720, 237451200, 260939718, 975640500, 45343914, 1640520000, -1097673970, -1205959104, 52734375, 214591680, -278155212, -121522842, -431536012, 144158000, -364563720, -1452843864, 529317600, 930102912, 343686000, 1274290308, -528154668, -1030382584, -12700986, -108499500, -649416600, 144002376, -330670188, 1356252012, 210113000, -1145358144, -1940867026, -2836171872, 54491724, -47750000, 1293349290, -1694345688, 553660000, 2944890984, -66430125, 961551108, 3475881888, -276215184, -827345038, -805369500, -334799406, -3137288896, 908479404, -1019579400, -447190500, 378060480, 160766964, 848990592, -1688082468, 226894500, 1246730318, -3998128968, 127808280, 161810352, 130593750, 1395918360, 286568954, 1039005408, -386547552, 1630107000, 1418066916, 60151248, 2110644218, -1913940000, 525629250, -1266826792, 457186800, -2892614652, -2436378256, 1226448000, 85766121, -268692984, 2175989328, 2294706456, 781853250, 2523862944, 839673702, -1172741696, -388947870, 205031250, -2869263072, -2907327192, 386836344, -2042337672, 76574750, 194454432, -3976212790, -1802161620, -164510514, 1903650000, 3617197890, 1336251168, 2410215368, -475947552, -1046250000, -6697152684, 1759775052, -255190824, 1195803644, -394470000, 1568893158, 3241920672, 5807527872, 816919344, -91937500, 561891624, 96372342, -1711715112, -4187974344, -714420000, 774441748, -5154608844, 719579700, 8774740660, 657131750, -258280326, -3659818696, 1022625072, 637211556, -264710250, -3636136680, -1894229064, 1301691636, 189158832, 730458000, 947360000, -985185180, -1738676664, 651843356, -382812500, -717663888, 996160680, -787013928, 306057528, -1878119250, 11211177600, 1608085467, 2646462560, -608920950, 507748500, 2041495526, 1125683712, 115814772, -1075948164, 2000822000, 3834011664, -1405365120, -2677157532, 1916110890, 273258000, -1123963122, 2043646524, 4131649100, 2400420624, -144703125, -2224119816, -2590980000, -661416192, 2632464553, -297445500, 1930849812, -395569552, -639284412, 3039845436, -662631000, 4267240992, -3106658448, 7727045652, -943074384, 482233500, -5152568074, -9881305632, 61044462, -1769221440, 807925250, 297722628, -696991132, 2430395688, 609063462, -2254500000, -916385928, 2567829600, -576550072, 5991041052, -1463460750, -1167049072, 2889084606, -4067820000, 1293942712, 131026000, 1808938656, -8180217756, -5014877508, -927793440, 1854162750, 1479328200, 182284263, -3515646240, 1911221730, -357453000, 373937756, 2806048896, 2179265796, 2209933908, -1214062500, -2492503488, 1915387418, -6128685162, -1911435462, -3815679000, 1227090732, 2554928244, -1059699168, 7285103568, 162749250, 6686082036, -4104485724, -622598508, 1824040000, -5959413000, -2034378018, 1325136608, -3091173738, 2840020704, -358349250, -6095409096, 4254257808, 2497899600, -9696119508, -516375000, 2122385354, -4473013608, 2541518532, -2808145312, -5596135625, -7302127644, 2112116288, 1245525120, -1442326662, -1879825500, -313121520, 1194224472, -2419374418, -8279159976, 1208054250, -3365373312, -3533701542, 7779195936, -171721180, 7595000000, 1529369100, -8909510112, -2145405318, -147366432, 244140625, 6473988324, -1273485888, -11389002184, -3624179244, -562605750, -10289307040, -2057426496, 5997193452, 3328951932, -1687795000, -699591816, -210121114, -22471701696, -2093877540, 4306032000, 11060578218, -2576309328, -1751548180, -5223615600, -2445160500, -885212496, 304738080, 650483784, -21231402048, -502312500, 2870910000, -4625683888, 1910915286, 3141213372, -1530880500, -1093870752, 4338921978, 1082425680, 2669173368, -5302584000, -1208890498, 18453305448, 403039476, 4378889376, 252276500, -5689935396, -12101153400, 5209708224, -3785794416, -7844193000, -6697191648, 1960368480, 2653296002, 20353092516, -307546875, -11673509316, 9292624074, 7208984772, -1803169522, -1278774000, 3063506508, 44729280000, 15201816144, -840729456, -1549997250, 726364926, 2703242430, 2214047552, -236105628, -4720275000, 3495199580, -13909545720, -2004376752, 11318916672, 744291500, -5146961616, 2991679236, 16298399916, 10045729026, 1050437500, -13475557890, 632769084, 2551408312, 27407281152, 591705000, -2049435540, 5153559222, -14016539376, -13716393346, 6462585000, -1225379016, -7655907024, 24087000000, -1393261884, -1789572000, 22552039104, 2567572668, 4889766744, 15236651568, 278478000, -5490255568, -15466505094, 7731913266, -443137576, 2433468750, -21757775310, 8496613520, -749819952, 387420489, -13391734500, -6055304136, -4421349576, 10298261606, 24316680960, 397065375, 16447536000, -27946244928, 4696914924, 20192221604, 10623641000, -283738248, 816190452, 12096632100, 10244880000, 3887378250, -19758131460, 2608014996, -13131554688, 1818259464, 949218750, -3495656992, -535777920, -1494241020, -5006793816, 1790909000, -1323248724, 12741999230, -7767648216, -16816766400, 900252000, 5660769318, -6562146960, -2216946886, -15819855408, -761622750, 9527716800, -4730449608, 4925539584, 13974723698, 6186348000, 1613922246, 13875605576, -12624621798, -9506784024, -4843750000, -6434634096, 4015736298, -228617748, -2106130728, -1181439000, 23024036160, -11689498800, -3065469786, -359535344, 7263394250, -5952063384, -22978617628, 14768077464, 3336179724, 3782034000, -5087822586, -7152644736, -1492163708, -34935606468, 446168250, -30882760384, 578645778, 980851032, 1465324560, -3307500000, -4559768154, 23280287220, -47710286112, -18449541936, 3331387500, 9965880000, -11590568478, 18390543696, -9578792262, -1195742250, -22564822156, 10470223176, 14821958448, 62565873984, 2950053500, 689635296, 4262910928, -14892210684, -446583942, -8769579000, -23352377202, -6026389308, -14843339248, -19592049024, 3381750000, 16352629272, -21866854824, -11102086800, -16022502754, -8049429000, -8986561578, 6106462592, 983310342, 2893805352, -3322518000, 9244564224, 6101730000, -30385484424, -7374745632, 1416933000, 7005694255, 22441145724, 12270326634, -43535182096, 7444840125, 2300549040, 15355796155, -403997088, -2218992300, 2350687500, 33692118600, 15199999920, 29986078310, 5158241172, 536179500, 6488482752, 30759425382, -6957855936, -16650808564, 17750054000, -3314900862, 25525204488, 19856184708, 4166497440, 8870883750, 37991595924, 9193027743, -20840680000, 13474126464, 9461326500, -6226546088, -7911204048, -3832392366, 8229362400, -669921875, -31497359544, -6359218618, -43854808608, -10029123054, -3062112000, -13725063306, 1543790178, 2434646396, -2925768048, 8939119500, 39167807904, -33217132944, 14330207664, 4631309480, 14073358500, -4260031056, 27482063168, -1031582880, 15114126636, -14382678000, -11815751808, -3746849400, -7001061660, -48280020000, 2232562500, 1104910884, -51646735296, 6709520412, -18155961648, 282613250, 6963054192, -17127742348, -22238787984, 10953191466, 1378345500, 30859203156, -485500608, -28677432384, -71571830220, 2819738250, -19623537640, 4200736092, -2961189252, 12306110312, 11888100000, 12418739964, 65109562020, 5129856360, 14550290496, -6775281250, 43383876624, -11668793904, -32967466560, -28445789106, -18832500000, -692246716, -72924551448, 13364265168, 31675950936, 8374716000, -1593640656, -40862617486, 21524465592, -9710982486, -4295340000, 15262192458, 28240076844, -27812093400, -8094207168, 843908625, 104535501696, -23285888352, 8895343968, -10630061252, -1654875000, -4993427898, 3508955856, 29808517698, 1734702156, 10089193500, -18638675664, 33707552544, -75383538192, 4253192454, -11539368000, 68587385889, 13939951464, 3864463992, -56127962968, -8849238250, 12952434600, -7130760160, 54797360040, 1327818744, 11828371500, -43296924948, -2812385772, -2042335876, -65876736528, 753468750, -2553220768, 27744175170, 11469808008, 50138685216, -2882400500, -4711820058, -65450460240, -3012766008, -11829267216, -9418416750, 23430449448, -1623638520, 2059729504, 56293028400, 13148244000, -26784547936, 65620800000, -27679958172, -17733333240, 19695638000, -18932257008, -24678396442, 11733180408, 8534903094, -2390625000, 4910585568, -12917949984, 22137232824, 10847082960, 11766289500, -14166250704, -777853032, -764143632, 797592674, -33806146500, -30529638774, 122077267200, 21667795818, 28945538406, -6677438250, 16526888640, -10813477158, -10960577100, -14121930768, 5528817000, -13379568970, 36746919468, -67093920000, 43613012992, 5592843750, 2084665896, 3002094544, -11715880008, -1089547389, 36014796000, -26476697460, 23943011616, -31649097286, -25296572160, 7080412500, -29151270904, 6982925124, 34489996020, 6044161208, -682252000, -16978375008, -20231336196, -10666965918, 22253039928, -5895768000, 74369683800, -24447599874, 14990381856, -18134023362, -2604656250, 37352266028, -24218193552, -949153626, -46637640000, 27764784500, -45814325760, -4914254296, 47384361954, 3074153310, -3238851000, -17704518906, 34755296616, -28924439632, -2470291488, -9693877500, -11507119416, 42140544864, 33100539192, 12463503254, -11927358000, 2089892826, -10654157248, -67532534556, -55919852064, -11320187500, 84138941544, -7334650116, -16975338912, -6389457864, 3011499000, -13622364000, -92746225332, 23199757641, -107596439104, 13291250000, 1098800316, -30330314776, -28576603776, 32636662965, 14542654500, 15748086660, 3241868616, 63568573934, -12545840376, 20087601750, 15177573072, 68657889198, 10963142316, -19930753822, -24549000000, -36475021440, -16494946704, 80915475492, -6411182400, 1865923500, -10377901296, -7045372386, 65235780344, 62555082474, -26342293500, -120440031264, -7288102368, -1224285678, 52003522908, -17526826000, -44294040000, 11016431606, 23290968816, 29637197190, 9075780000, -15584527152, 32560895808, -12817705708, -89073482232, -1423828125, -90267795144, -9141327300, -5793975360, 56823510650, 33374929500, 7510190724, 16108240400, 128308713216, 3281116734, 14182900500, 8777626560, 11651472324, 34401991140, 29138562264, -3892266000, -8094946804, 6730879608, 9843220440, 17523489024, 12515011250, 39226784328, 134421580000, 24063724776, -14291575200, -21853125000, 74708960928, -25112778624, 78757582178, 34476973524, -9279522000, -66734571764, 11171119236, -34405838316, -4915952552, -23828526000, 14260176036, 22087633176, -72764154840, 27820329768, 46508004750, -19074585024, 342926622, -18188951392, 9116989392, 2929486500, -60856199908, 72804004392, 17534248200, -73880743032, 2739375000, -3888064152, -42493200768, 32832720000, 8928095076, -64891386000, -91560445614, -36618804324, -20428641303, 91788258240, -5673051000, -55641127284, -54390087984, 30924669888, 55746602964, -6450286500, 52403409702, -38065207824, -55520554626, 76576640544, 11886910500, 27199351200, -1471276548, -174530151144, 51810630432, 1289250000, 8412057410, 38202936372, -34920430830, -48706148176, 35795894750, 45747333576, -24006349080, -17536580928, -14948820000, -100730441250, -24341705010, -79512056568, 31523063030, 38018093184, 1793613375, 20117819648, 79628170398, -25961879916, -10271784600, -20469211000, -93848810976, -5636187360, 78846198672, 7457809968, 1838265625, -43548739524, 22338316026, -90150853072, -20797957386, 21744976500, 69360894872, 8402435328, 9039583962, -63606627756, -1313603000, 84706800192, -45037782418, -3090981240, -24528943908, 47430000000, 49745829756, 27528643800, 118903748832, -97014665664, 12074143500, -38617295724, -112833833064, -10207632960, -4908245446, 4394531250, -4340708028, 70494539528, 39466068432, -22922745984, -6917782500, -71123156496, 45578226636, -65235226392, 131870360556, -6126151500, 9389098444, -185207526720, -33661718586, 5136842624, -77855400000, 107949482136, -775490758, 36248587704, -3450823560, -30380310000, -110962020000, -4368879504, -20513436272, -3782180052, -3526031250, -244691862912, 3259560354, -37689795720, 101200962008, 22803424000, -7737361758, 199090407924, -147709075008, -28053146016, 7471862250, -31527867240, 10436783904, -32620946400, 50804662938, -44012889000, -92888041252, -9638980512, -38287806732, 5485285440, 18591371750, -1624083696, -139632516574, -382165236864, -56987393886, -5469625000, 33271588722, 51676380000, -8611610248, -28886923872, -14191989750, 34396475148, 158083421436, 34204323384, -22980220704, -27555849000, -12344043600, -75769162560, -26834567844, 78100595604, 15445276500, 11786412960, 65782212912, 48045120624, -29800510560, -33114096000, -12912503590, -21760028964, -2315685267, 200935992656, 2065593750, 7254710568, 118224681152, -10932913344, -58751711856, 4540977000, -202659822624, -61957074312, 224592520000, -217820761200, -21110037750, 32534096256, -27684746964, -68144299488, 28587744736, -85414546000, -22671189954, -120549449664, -14048995632, 31664025792, -53660039250, 47759328036, 10501592490, 221622562952, 16900377840, -5535843750, 24282309758, -72899874504, 77470102944, 167267233332, 68620178000, 78497834184, -205798395600, -32457051396, -10444581288, 3192756000, 83848724742, 55143117144, 27304687440, 487052160000, -2067518250, 273632690592, -6571279284, -5250269664, 93092692791, -27899950500, 107357745330, 7909306972, 90880641750, 48658363740, 15656250000, 153360466560, 4441783878, -4249901304, 25844135562, -51398550000, -43557916162, 62913592440, -97664343030, -86863693680, -41604451750, -36078781536, -35020873688, 123250425984, -65075814936, 13397247000, -9467671728, 12850583904, -54044830672, 53850226248, 28248750000, 177471465752, -108234917760, 180823122468, 160062416168, 6559875000, -47513926404, -242560042020, -64916640600, 6890152248, 56807067750, 45925349616, -32286698388, 276137220096, -145913895102, 10650690000, 29900945592, -22316075880, -42360115266, 92764065996, -10273112500, -87531858144, 11543635972, -246895080228, -156803252544, 70370370000, 18322890558, -22056822288, 40504401056, 19114748256, 2482312500, 433566000000, -42622376460, -15171073848, -30384711010, -32212296000, -2602053234, 140835182976, -198471123882, 46216308024, -15346763250, 53244126768, 113075307288, 274259728224, -91679234628, 19289340000, -98172304704, -98824600224, -20909927196, -168413055468, 42560313625, 139174438788, -20164418704, -2767348944, -19428651900, 43802437500, -44543664792, -236917997820, 76872205958, 152939043360, -17742557250, 1872099488, -54349200000, 6973568802, -32674140844, -145821109000, 98815104792, -108995474448, 16177987392, -27610876944, -46431125250, 185368708908, -17204712012, 264781637120, 26492277372, 7147176750, -202968546736, 265661894400, 98175690360, -503032408704, 41384812500, 51144184728, -76186568668, 363459988872, -35145674172, 66343554000, -164617785270, -5107288464, 74901076532, 8887407144, -19722366000, 217739377800, 47511520896, -25578720000, 109203853802, 69972808500, 26599999860, -215144098120, -169514402586, 46944269928, -17346525000, -82005219072, -17599770612, 32728670352, 35238384264, 10335937500, 9890439136, -62921825856, 19376924976, -37111737600, 31062594500, -26896338360, -99398223648, -54518421552, 21249376056, 32236362000, 35017775928, -8263553256, -52277835708, 229355986140, 50709219750, -84581058352, -155210094156, -302701795200, -36471190000, -2247688000, -43418307609, 101893847724, 55140264840, -71454489120, 13054343750, -39905043948, 16440865650, -98793382752, 47729925312, -13709209500, -59813644156, 103746249600, -55120379202, -85148092944, 57494166500, -30393460224, 20588780916, 251545026564, -3126998844, 67362456000, -270886131600, 29050600428, 83047400024, 86651740944, -54022194000, -227243192364, -5120094084, -103518314928, -237008951386, -87187500000, 37944858240, 16065557024, -44015701362, 72283253364, 61871598000, -2489393256, -51734994030, -37910353104, -168246617760, -7377966000, 48093610544, 414432650880, 30347004294, -127285653600, -44958252250, -55178456148, -64947199624, -24903940320, -111554525700, 130741096500, 205327909980, -64811356848, -79957585810, -413615117304, 3906984375, 92225136816, -21050151216, 60051235032, 36864880700, 41182148000, 69956460000, -91580806548, -208942523388, 17858237184, -23117721750, -26858946744, -71076542931, -380409937096, -38917878972, 8031028500, 314152772056, -192859687296, -52132944924, 10415624004, 156053484000, 10680377904, -215921660458, 26375842080, 17260679124, -53423000000, 270101919702, -82075826772, -34341190870, 253496460840, 17891037000, -858785150016, 179137809108, -115215506784, -32242809358, 59964975000, 83879778096, 108517360000, 103294879986, -208630232604, 6147309000, -45916259424, 25463008368, -172418260716, 40153087416, -13020304500, 229410197390, -406166798808, 139119337998, 65385475344, 3488281250, 266795252064, 98091965204, 681272850048, -1648200474, 53100963000, -127617965034, 47768978880, 223174602000, 76732396704, -21813981750, -162159627448, -162470638566, -8038510956, 249289792416, -54765126000, 18818760564, -420342789636, -40981380000, -65620683576, -7516845000, -267180106464, -16444713474, 48916096256, -43938457332, 60871500000, -24115214960, 178061963184, 24742420056, -393603386832, -128147954500, -69331399200, -79630531198, -288405049572, 15566851944, -87649338000, 114847412352, -161758108404, -177048672184, 61524585216, 39513440250, 17699586156, 62550597336, 31510324944, 250608511670, -59805324000, -78005284362, 57731360256, -32617682412, 109831140000, 54473562500, -330864163728, -34936453224, -132745421376, -462461231400, -3537702000, -66631798517, 126102496590, -48841343712, 244359142328, -141340920250, 220865879412, -98223935194, -271872769824, 135401692716, 134007122250, 36803396184, 25050422880, -75346668322, 276404330790, -50062394250, -27983672640, 253917144486, -39941861400, -122136633172, 25596375000, -4921675101, 606458134800, -21873220584, 94922448480, -310620000000, 539749409580, -51602986710, 56167514984, -203964935274, 9651231000, 412502621976, -16200002688, -10096319412, 553669656876, -5044200875, -75763320192, 125578565532, -299714554152, -58840176492, 110847276000, 71034393678, -59668215516, 401929257884, 277941115536, 32779687500, 357411324744, 465786946464, 67297594176, 3604526632, 159675907500, -51715460286, 413686266728, 178808902830, 165474499374, -78603588000, -130147920000, 51608757474, 242534276352, -76021907760, 103023333000, -163145546410, -112077829584, -33131449764, 19752156512, -113183332750, -68983062588, -132739880164, 89608612800, 28611877536, -12058593750, -133782962208, -196697796336, -198487697590, -114465935124, -4394229750, -477530138176, 18982395180, -180524214972, 217107067136, -212103360000, 110821114548, -247051139508, -259326115464, 16810159716, 14232191250, 43823635128, -49249080000, -18271122912, 130119014676, 160904151000, 213635217600, 426493908288, 54928206486, -597908392992, -44879062500, -35778688416, 403382030306, 83363570640, 83461690926, 153243237000, -22146360708, -76680559008, 330418215488, 171622680192, 9675429750, -18568491840, 273370054344, 164576045592, 126577330550, -258888204000, -114864960816, -62572595456, 189181030848, -67443289200, -33956713500, -76233782520, 261795226716, -869040360000, -20502790014, 13942125000, -8672829910, 19888395912, -57304404558, -562375562112, 107406285375, 120771367416, 10634436952, 45330570912, -68621000364, 5087038500, 411336301788, 75819923424, -51014724082, -308299362264, 151095661875, -138878961696, 130606240800, 197157446388, 44306159184, 15008651000, -57027139776, 555465656808, -3564754992, -33629178240, 92998156250, -516193782912, 38942819874, -779337706840, -821074680000, 50755288500, -193068781744, -122546990160, 8454281040, 75613249656, -168865840000, -32244060744, -213066434304, 221509985616, 65323109286, -29681400000, -42381838716, 223537319352, 30932505736, 708970786440, -32617464750, 92337414480, -273449468280, 90865079424, 253070046957, -121955062500, 95409941634, 472402212128, -54021113916, -210038290272, -5667989250, -532493111424, 4636471860, -512024203908, 477422707536, -205065000000, 144603926270, -12460440888, -41292965700, -455406382512, 137209246250, 240556773024, -220096860052, 344915910192, 57925943586, 150744888000, -538703160684, 3978893664, -257748875134, -735527114748, -6591796875, 234377514224, 264929462022, -174797684748, 447302804264, -26823960000, 34384118976, 274719464244, 147243147702, 307503058968, 34769401500, -500617681200, 97852839588, -560661575040, -111638022354, 15190355250, -258998180000, 1138275462912, 277811290080, -419145990336, 53942001500, 55550515392, -188293768432, -191341102536, -161924223204, -18019750000, -183763139082, -89881702164, 568872033120, -8760922464, 45570465000, 536553318564, -305897016396, 18888979032, -277973614800, 181605483000, 5673270078, -116396627616, -29582685462, 606735945792, -66164700000, -820842971424, 56534693580, 76557464172, -88406829336, -116262864000, -123976738116, 1234572946002, -298635611886, 151790582608, -42960750000, 69560351856, 62754391440, -350513401392, 47291800860, -159286288500, 100670499300, 141037621200, -212309896330, -128353682880, 66019333500, -136814323760, 55542860436, 23900737392, 114162615602, 128797823000, -8227928160, -779344649064, 542964580536, -17563062168, 1587623250, -36762045768, 573247855296, -717324464416, 560333767266, 13562437500, 338843187800, -176853983040, -77514570000, 499395153060, 81177075000, 124893464976, 94182693184, 902496333888, -51594712722, -18000297000, -57323432364, -84812761044, 25588507792, -712682789280, 41333773500, -54229788144, -155878593906, 29534510304, -922332374784, -169531501500, -117150893406, 255131560656, 51085085442, -29225493360, -26264125000, 12862800576, -72067680936, 1013274511200, 13649393892, 143169768000, 28189420700, -482121862848, 32640043446, 1059912320000, 242608378250, -498239247096, 542747079476, -193096295280, -10882065852, 354521484000, 18123422496, -118230013152, -121980426862, -444211135956, -6811465500, 127761297776, 84647651574, 153628255692, -274868752120, 5968750000, 326731141800, 88390540224, 294260831760, -140662122048, -161668661250, 398470190832, 102216449232, 67738926240, 42111518358, 211793211000, 650993854460, -154254729888, 180824174496, -14001354576, -69207500000, -52929948960, -633737362318, 14356668132, -71638992054, -368111373000, -127017937440, -549533497932, -116785500587, 762360076800, 8303765625, 390020324724, -174007868064, 315184751532, -441982391890, -120193888500, -250900849998, -41263212160, -31191366432, -194642588844, -434485236000, -119348506200, 48685577094, -254194753824, 47393573100, 34526898000, 103779377044, -240832241460, -82714675716, 400133123096, 103418129750, -1207690560000, 485999980200, 640946718720, -410449035888, 100671187500, 127407007686, 22699695312, 106561148222, 54037701792, 41849925750, -73164475152, 374180012430, -19611853002, -447331516920, 392161112000, -72987545610, -476580554280, 150204161376, -59779283904, -113559925500, -569683751148, 6374851956, -275451563520, 62033982630, 127447425000, 38030657368, -182046712176, -94370388660, 125692652232, 55898812500, 375557734440, -1080755480000, 108794901744, 54118172304, -47257560000, -402603765462, -305610750144, 600619123004, -220296771912, -20095870500, -192005386524, -722615522292, 138967963632, -673896187006, -106123824000, -80775339372, 809803223600, 47598864600, -440056797732, 211010308500, -37426966464, -271234683702, -326412420516, 781538205012, -28361812500, 646999800768, 672340788504, 363840063030, -151240147488, -155841289750, -17084765268, -85235759308, -507832080000, -68888024424, 499766121000, 239906738556, -739996591104, 395865089378, -88456577328, -15976035000, 515963052388, 926958006444, 55334759580, 42150364408, -20226294000, -139146098994, -318681340308, -567483950496, 378446563152, -16324218750, -520639913376, 370342620342, 6167655872, -663032676246, -174489795000, -376965663148, -125299744752, 33085233432, 758529807552, -35821119250, 206709489648, 503599301834, 224343058572, -650349000000, -129875676000, 50023380546, 37618070868, -819515805568, -737981677440, 48318444000, -1215585622008, 87279148968, -608905055808, -157763992876, -203763375000, -69324462036, 525439104336, 336328150386, -132023702088, -177258364500, -184842579264, -411389592336, -115010241552, 112852724880, -7518906000, -182307570406, -245202552000, 148236900336, -1009903342504, -263830527250, 417595637538, -603984229344, -671928782976, -208761658182, 239242500000, -47472137184, 11964714552, 47319216516, -545945665968, -65703656250, -287918523648, -169775664912, 587459933370, 361385030036, 158353349000, -229408565040, 283465559880, -1148492776104, 20245138704, -57148350000, 1144234330812, -10460353203, -136610261872, 1263041873664, 361576831500, 123365444174, -37894332768, 163493211672, 1235842005564, 304547282000, 119376438552, 218440727068, -358753568796, -278053063362, -153306000000, 890400600000, -656550385920, 754508111732, -179611641888, -10720765125, 1456478558856, 191411066412, -444083472000, -475886018063, 33586623000, 754548613056, -113003814112, -15728650002, -126816702948, -271998666000, 407390791536, -545189983308, 1125991484532, 63435028482, -286838307000, 324624736070, -2167920562752, 7660932696, 18196438592, -97731656250, -22037142204, 102360793752, 566260582776, -326609066700, -315482868000, 408473095800, -276611760000, -428210760096, 198295768908, -104959212750, 253612771552, -1008552361050, 533469549420, 383175691568, 146592712000, -70416404892, -280521488736, 56990930124, 354551976576, 48618483750, -230718702744, -49093005528, -556254807408, 126747187020, -25628906250, 874299706220, -982915991568, 94382738784, -164543891400, 358657884000, 14466003840, -362278299404, 1022823191700, 40344507540, 363415899000, -16868215896, 135183433032, -1845083420000, 100594317600, -48354543000, 2309556837888, 424205144100, 35727715548, -316791400426, 255292209000, -344033979210, 607999996800, -396952920498, 209726501832, -9571843750, 374599459080, 454052692800, 524494120752, -95776393416, -24306804000, -385339255150, -145709042472, -152840771586, 73291800176, 497026598750, 177177967920, -335420568088, -43751456256, 59857565922, 225270202500, -261787350768, 427136096016, -153581277682, 2419588440000, 20563814250, 150275505744, 815166885066, -257248353600, -263421296140, -237956250000, 127722139416, 1344761296704, 20626222680, -132989568768, -452149736250, 1417636479204, -377317539846, 375415933928, 371858028690, -167031396000, 500494608152, -416750591016, -43575900642, 201080146248, -301276921000, -374641350552, 351637987148, -88487145936, 340864788546, 59493444000, 1780500100416, 256683168648, -1167438925800, 240509783472, 130781250000, -1309754787120, -205499703264, 173735120592, 103639016124, 837144085500, -108424880046, -207701036928, -599657705082, 6172679196, -219971881500, -1259894381760, 56865529656, 164105809056, 534124672632, 31898853000, -1215436110874, -1095411598344, -621648976320, 454653578448, -149475455500, 315616467600, 717482807396, -804479201904, 82767684222, 49308750000, -542220236112, 9707454288, 4037978116, -764877613824, -196111644750, 357511840000, 81853420602, 160705711368, 387839485166, -405240084000, 620422675956, -1648088021052, -49766306856, -398738091528, -725940984000, -367715543454, -90076852548, 1482571162496, 1243710955200, -102114918000, 787944711092, -605870052648, 137371209822, -979021583712, 11492187500, 193121407872, -4659203878, 1003438853352, 40288420116, -70236453000, 552235178838, 943261374636, -518714385472, 95038623456, -12046542750, -999369983268, 852341280000, 833834530368, 1014273576158, 213964389000, -15623436006, 169857172800, -472790962674, -26482977864, 523496793000, -1900439423568, -39563763120, 932591347776, -1342229191680, 89302500000, 13841287201, 151417033380, 123113740158, 415987529384, -96805218500, -628567754940, 557170742808, -304164925344, 1288177725024, 644326105500, -1238689313508, 498137632272, -79447886240, -432114283440, -89947462500, 43784143232, -474517990902, -269078760000, 948055203576, -1096842582500, 312945348906, -438150690180, 361931666676, -496544679792, -82141468750, 567415134540, 258627391074, 413974792448, 215688245472, 32285040750, 119657942208, 202693538304, 609250198212, 1433307067164, 457477337000, -282696025752, -1349856205858, -184892122800, -400192878096, -127828134000, -933950373642, -1689278597568, 310575065066, -61371817920, -79651444500, 1419231576096, 687693290892, -18620152992, 521080240000, 33088781250, -115098595056, -474197385928, -1123960297728, 402089688468, 454517085000, -562982878368, 12057766434, -374363232948, -883199545344, 236778633000, -411891429600, 1248496107696, 630514184454, 582011619840, -162711454500, 162712511316, -493803971836, -692605502232, 400770159696, -23644854000, -39053132790, 528985323648, -130719057958, -810680083524, -91307250000, -33657351280, -605044978806, -441520990344, -1511725902344, -118420000000, 590405080248, 895424935608, 144154396728, 299756343600, 123148147500, 2140267478976, 432607574358, -605846687616, -72061606896, 217334583000, 23176953360, -420499442328, 242637162606, -2031008995152, -81480419500, -164874489984, 909521043264, -88348418028, -26549379234, 47851562500, 299052666276, -78132744504, -176824283920, 440231206032, 89707986000, 710389231776, 502206335400, -249603234048, -126437916116, -124520085000, -164746710000, 177575462624, 93177221844, 820408079448, 98376741000, -710339131824, 199118132064, 2373666490008, 802562641440, -38257191000, 317023077530, 169003771992, -189153744885, -2016704179840, 234764906250, -605910934548, -294722847069, 355813758720, -331298819118, -1401397200000, -320638285248, 1175449916592, -259925659308, -13958833644, -201010683375, 226368731376, -1918909796976, -62114824080, -1212643596724, -330807820000, -414606496185, -1997316360000, -441696614484, 10907921376, 76115118750, -369241852896, 59912792100, -41183738344, 548638885950, -63468562500, -689050745464, -1528075715328, -909687202200, 58672086372, -255186940750, -410399997840, 67148708726, 1821617316144, -809624114370, -140710464000, -134570338524, -139272511644, 2982465328608, 2167873330728, -14476846500, -2658763350144, -119747339376, -175189034304, 463367864960, 134493520500, -830504485314, -343303443280, -1109032440000, 187862110272, -250102750000, 81445761600, 449571831228, 914483932884, -1288386359532, -479251458000, -974139110892, -1671984742536, 89502323274, -60194449728, 175670640000, -689180521176, 281411275744, 59728663680, -536116987116, 334644691500, -915940894500, -112495430880, 437130477146, -2513385298332, -239513861250, -4161354801408, 15552962502, -1025773089948, 1152547565400, -34157250000, -248211749061, 598888596996, -72961470552, 562698360000, 140495390250, -155008984464, -363801414528, 72122907968, 1107310794870, -255455815500, -376502171710, 374539396056, 168116744376, 2845501585848, -516456137500, 213602509296, -231271184278, -413643972672, 103474593882, -300052578000, -825849913902, -222192784800, -605297127176, -1223829469824, 18087890625, -483022221192, 1245463636680, 850428707688, 762283796544, 278014977000, 171698902686, 73604946240, -436403237982, 1184079832416, 323872500000, 523157980128, 270786322458, -536409190080, -95407237716, 82677024000, 35035289488, -232425064620, 370576709262, -236942537608, -329058069125, -41682334806, -385159113880, 1254824770464, -65735452692, 37180687500, 2295519138528, 78995737296, -148016852116, 2128044260736, -241356226500, -757290280320, -324184962246, -1057530813408, 269718429020, 49446194000, 896862589488, -3647876807232, 1868821908504, -386915606928, 79910551500, 4042665360000, -125045355960, -2371826066400, -485659593132, -379980679500, -139251559168, -81228920064, 115020838512, -498325445352, 82828875000, -742015705536, -818211621010, 514579405248, 27852737760, -533405124000, 181555936800, -408081419172, -1525259599972, -1312649563008, 388332306000, -252881921376, 649822540584, 319025298816, 1563693042626, -965880706500, 101164933800, 520046016392, -789708064878, 189028664820, 117884298000, 1384010291088, 1303560540000, 304206801120, 1532914466784, -60279187500, -2580843169076, 437081575644, -29832593868, 182011451376, 644071009250, 1394461852992, 1125439159004, 1821354318504, -181157051124, 1235163204000, -468670044420, 490210964496, 334869669914, -3704371120800, -7630557750, -353421226312, -84238733184, -188002463184, -1061508414616, 221152680000, 462449043396, 1509277045356, -4356438198, 600447275568, -100990656250, 491484373920, -295736169582, 3041591040000, 1248691745022, -37215328500, -984094411828, 2979555964224, -833198485212, -118283027112, 87123891500, 13108516416, -222749893800, 1675668470238, 774290674368, -303799461000, -1212107695722, 1932439415940, 396703240936, 49392814968, -76132932750, 1635851551500, 1247896058136, 529835516280, 1591253310614, 281812500000, -113419874484, 2477090311424, 2084426688378, 79952109804, 114548241000, -46276703088, -332264978424, 465194440116, 1938996060000, -320978700000, -443623556160, -784042490916, -335305979028, 685059117680, 72068759000, -1757958174540, -784877263960, 216875365920, -138506121720, -748880131500, -197252377224, -392857843392, 464357460960, -630375726384, 182932593750, 769686333696, 292833919014, -1171364668848, -665717389918, 145881134000, 315057435408, -170418091104, -3478557904500, 890121597120, -361135575750, -972806952096, 768036305862, 586369130256, -1123790317950, 508477500000, 1718491068272, 1108291194288, 18690661332, -1948228519680, -161742839000, 1968962889096, 646877777894, 2881123491024, -360835159536, -16378250000, 827972153250, -855250675272, -1414895648908, -2641209346440, -226117332000, -1168499530800, 443618806470, 43028297712, -1157234828633, 1022527219500, 1103290672122, 500076029152, -818744104068, -581160570984, 626859688500, 1462337974272, 262196527122, -2626450111836, 637081029036, 115974180000, 189905380000, 538217020656, -412079196366, -139361616720, -231770343750, -762482074788, 479155582368, 1010097607512, 750926521800, -184916025000, 182986668984, 218543593536, -968670449830, 207785447496, -22785532875, -2688413095816, -259004100978, -2822458545792, 222156843552, 439455780000, 628718985504, 329812030044, -1179986661504, -240174287136, -238902716250, 729079219008, 287011653804, 1324021567680, 1192227487584, 44681625000, 742552652492, 4721052000000, 134822553246, -767202776280, -46742219500, -94741808112, 349216017242, -546924798180, -804829977846, -350756112000, 1351956233226, -46836958212, -283779348034, -351627711744, -272408224500, -3572480229876, 146476002960, 503244242928, 84301668448, -276241738500, -910103918688, 332504138592, -497791790118, 2035355531184, 151757812500, 2986383707328, -114836196258, -1650226223304, -976894980036, 311562936000, -2525802255536, -1767101484672, -1851859419003, -1076090091328, -239423427250, -376378689528, 1975647566384, -1051722346392, -104340527784, 766085645250, 311608435572, 1515455000136, 990474691392, -362959536672, 238929432750, 6909328736, -2030296186890, -349715734200, -250423289888, 476959875000, 192530524320, -801785966256, -1977932689104, -1479528721080, -153386341500, 1383699707244, -35851106088, 1665336249920, 153350485086, -319366030500, -1028102488920, 129674744640, 1169016973596, -978285600000, 132462396000, 75934415844, -514256333290, -588134535192, 55143068652, -910637946000, -1049133372000, 1778671886256, 728870230672, -1186839610656, -20343656250, 291203773056, -2371131708564, 68936960736, 2340016385868, -835760254500, -749092729590, 2018459274776, -579012286524, -309684816216, 513060715500, 1653534305280, -1353744500832, 476860992696, -1990738105620, 77824813500, -593142771060, -3653433841248, 127219141566, 2676629491200, -228005000000, 1767162426480, 427628499074, -5477464005888, 81344682216, 744926625000, 202645282344, 319390214832, -348884295838, -1371358236024, 254297252250, 3957675434384, 669624509106, -632622135096, -3441110997024, -165642076000, 43838240040, -2963120134860, -882370860696, -55612696608, 386396717250, 1348219377576, -1519911766800, 55500950736, -428627006046, -355002588000, 778645486964, 2370939891600, 723182794272, 855207376128, 44793656250, -1771761600000, 178814480740, 1965669368436, 747358870644, 761926137000, 4400474774784, 478799997480, 341902494136, -1343552939280, -531782226000, -3051259246548, -2492896159392, 511170939216, 98293151222, -312237450000, 666316703934, 204745056768, 2130428546844, -316795871016, 1212014938500, 356378854944, -230442383538, 634290916752, -20150856816, 64546875000], "weight": 8, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0], 1, 18, -27, 196, -125, -486, 343, 1224, 729, -2250, -8016, -5292, -1786, 6174, 3375, -3056, 8358, 13122, -5884, -24500, -9261, -144288, -77700, -33048, 15625, -32148, -19683, 67228, 155742, 60750, -310000, -211680, 216432, 150444, -42875, 142884, -433618, -105912, 48222, -153000, 357942, -166698, -724492, -1571136, -91125, -1398600, 175320, 82512, 117649, 281250, -225666, -350056, 132198, -354294, 1002000, 419832, 158868, 2803356, 2648628, 661500, 835478, -5580000, 250047, -3419072, 223250, 3895776, 3486308, 1638168, 2097900, -771750, -2872260, 892296, 5951882, -7805124, -421875, -1153264, -2749488, 867996, -1680904, 382000, 531441, 6442956, 3577524, -1815156, -1044750, -13040856, -4205034, -9811584, -6254826, -1640250, -612598, -15229200, 8370000, 3155760, 735500, 5715360, -5257054, 2117682, -5843664, 3062500, 15024954, -4061988, -16006576, -2186064, 1157625, 2379564, 5301048, -3857868, -6463402, 18036000, 11707686, -1048208, -14833302, 2859624, 9712500, 30525432, -1301994, 47675304, 2866794, 4131000, 44769085, 15038604, -9664434, -60760000, -1953125, 4500846, 13502360, -34448256, 19561284, 4018500, 12247044, 42420672, -2018212, 62753544, 2460375, 10230192, 12399978, 37762200, -5954332, -8403500, -4733640, -51700680, 14316576, -2227824, -19467750, 107133876, -3176523, -84989128, -31099026, -7593750, -14327272, -7202016, 6092982, -49490784, 38750000, 9451512, -58107154, -30256272, -3569346, 26460000, -26651100, 9565938, -23600428, 70156632, -27054000, 64395432, 26580144, -11335464, -59558721, -18805500, -4289436, -142000432, -70967070, -75690612, 5359375, 24496896, -71512956, -112586868, 115061424, -17860500, -2260906, -11026764, -22557906, -95104800, 54202250, 150660000, -66997728, 34362720, -6751269, 13239000, -80713548, 92314944, 70793906, -94626972, -6027750, 23059204, 75347334, -105185952, -157565104, 19125000, -94130316, 270449172, 53419506, -44230536, -44742750, -288118368, -56643300, 5458016, 47166144, 20837250, -222118276, 25910808, 77551020, 95418864, 90561500, -24091992, -106330000, -116341236, -160700814, 196392000, -14927388, 210738348, 140214608, -72606240, 11390625, -266999436, -113463204, 31138128, -100120090, 174825000, 74236176, 190628208, -372064038, -23435892, -21915000, 519131088, 45384408, 51602292, -95095284, -10314000, -286367158, 805843530, -14348907, 163753688, -14706125, -173959812, 10508824, -379440000, -96593148, -35156250, 55342260, 49009212, 622843200, 243042480, 28208250, -182427392, -59774898, 352103112, -148730974, 43757000, 113535918, 220446792, -123562212, 264912768, -16524750, -36327816, 168880302, 683316368, 429280314, 44286750, -548961424, -25542048, 16540146, 223199604, -125250000, 411188400, 332835614, -107177976, -225990000, -52479000, -454456542, -85205520, 82184900, -562962960, -19858500, 257698368, 122774106, -154314720, -340482509, -350419500, 141940458, 1166568872, 371449002, -57177414, -331078500, -530748432, 157778928, -559782468, 138772200, -82687500, -248500756, -257890896, -405673758, 17981504, -104434750, 109673676, -459953332, -538899648, 432177552, 697500000, -494972784, 59023728, 359666018, -1045928772, -31255875, -329457184, 184941774, -64248228, -1248427872, 427384000, -143128296, -479719800, -49178472, 104162436, -27906250, -424807704, 174511854, 438121008, 60134760, -486972000, 1025183636, 701194704, -316107522, 478442592, -435788500, 28301616, 1130727362, -1072056978, 400499154, -204771000, 2484960000, -77209848, 40353607, -886778208, -262237500, -1277407260, 628828704, -824186664, 905466662, 96468750, 35153838, 1696826880, -113857530, -1287233208, 359032500, -1225945896, -77403438, 2071105632, 271653708, -111537000, -859250283, -40696308, -1208765295, -120069208, -743985250, -406042308, 1350926720, 237451200, 260939718, 975640500, 45343914, 1640520000, -1097673970, -1205959104, 52734375, 214591680, -278155212, -121522842, -431536012, 144158000, -364563720, -1452843864, 529317600, 930102912, 343686000, 1274290308, -528154668, -1030382584, -12700986, -108499500, -649416600, 144002376, -330670188, 1356252012, 210113000, -1145358144, -1940867026, -2836171872, 54491724, -47750000, 1293349290, -1694345688, 553660000, 2944890984, -66430125, 961551108, 3475881888, -276215184, -827345038, -805369500, -334799406, -3137288896, 908479404, -1019579400, -447190500, 378060480, 160766964, 848990592, -1688082468, 226894500, 1246730318, -3998128968, 127808280, 161810352, 130593750, 1395918360, 286568954, 1039005408, -386547552, 1630107000, 1418066916, 60151248, 2110644218, -1913940000, 525629250, -1266826792, 457186800, -2892614652, -2436378256, 1226448000, 85766121, -268692984, 2175989328, 2294706456, 781853250, 2523862944, 839673702, -1172741696, -388947870, 205031250, -2869263072, -2907327192, 386836344, -2042337672, 76574750, 194454432, -3976212790, -1802161620, -164510514, 1903650000, 3617197890, 1336251168, 2410215368, -475947552, -1046250000, -6697152684, 1759775052, -255190824, 1195803644, -394470000, 1568893158, 3241920672, 5807527872, 816919344, -91937500, 561891624, 96372342, -1711715112, -4187974344, -714420000, 774441748, -5154608844, 719579700, 8774740660, 657131750, -258280326, -3659818696, 1022625072, 637211556, -264710250, -3636136680, -1894229064, 1301691636, 189158832, 730458000, 947360000, -985185180, -1738676664, 651843356, -382812500, -717663888, 996160680, -787013928, 306057528, -1878119250, 11211177600, 1608085467, 2646462560, -608920950, 507748500, 2041495526, 1125683712, 115814772, -1075948164, 2000822000, 3834011664, -1405365120, -2677157532, 1916110890, 273258000, -1123963122, 2043646524, 4131649100, 2400420624, -144703125, -2224119816, -2590980000, -661416192, 2632464553, -297445500, 1930849812, -395569552, -639284412, 3039845436, -662631000, 4267240992, -3106658448, 7727045652, -943074384, 482233500, -5152568074, -9881305632, 61044462, -1769221440, 807925250, 297722628, -696991132, 2430395688, 609063462, -2254500000, -916385928, 2567829600, -576550072, 5991041052, -1463460750, -1167049072, 2889084606, -4067820000, 1293942712, 131026000, 1808938656, -8180217756, -5014877508, -927793440, 1854162750, 1479328200, 182284263, -3515646240, 1911221730, -357453000, 373937756, 2806048896, 2179265796, 2209933908, -1214062500, -2492503488, 1915387418, -6128685162, -1911435462, -3815679000, 1227090732, 2554928244, -1059699168, 7285103568, 162749250, 6686082036, -4104485724, -622598508, 1824040000, -5959413000, -2034378018, 1325136608, -3091173738, 2840020704, -358349250, -6095409096, 4254257808, 2497899600, -9696119508, -516375000, 2122385354, -4473013608, 2541518532, -2808145312, -5596135625, -7302127644, 2112116288, 1245525120, -1442326662, -1879825500, -313121520, 1194224472, -2419374418, -8279159976, 1208054250, -3365373312, -3533701542, 7779195936, -171721180, 7595000000, 1529369100, -8909510112, -2145405318, -147366432, 244140625, 6473988324, -1273485888, -11389002184, -3624179244, -562605750, -10289307040, -2057426496, 5997193452, 3328951932, -1687795000, -699591816, -210121114, -22471701696, -2093877540, 4306032000, 11060578218, -2576309328, -1751548180, -5223615600, -2445160500, -885212496, 304738080, 650483784, -21231402048, -502312500, 2870910000, -4625683888, 1910915286, 3141213372, -1530880500, -1093870752, 4338921978, 1082425680, 2669173368, -5302584000, -1208890498, 18453305448, 403039476, 4378889376, 252276500, -5689935396, -12101153400, 5209708224, -3785794416, -7844193000, -6697191648, 1960368480, 2653296002, 20353092516, -307546875, -11673509316, 9292624074, 7208984772, -1803169522, -1278774000, 3063506508, 44729280000, 15201816144, -840729456, -1549997250, 726364926, 2703242430, 2214047552, -236105628, -4720275000, 3495199580, -13909545720, -2004376752, 11318916672, 744291500, -5146961616, 2991679236, 16298399916, 10045729026, 1050437500, -13475557890, 632769084, 2551408312, 27407281152, 591705000, -2049435540, 5153559222, -14016539376, -13716393346, 6462585000, -1225379016, -7655907024, 24087000000, -1393261884, -1789572000, 22552039104, 2567572668, 4889766744, 15236651568, 278478000, -5490255568, -15466505094, 7731913266, -443137576, 2433468750, -21757775310, 8496613520, -749819952, 387420489, -13391734500, -6055304136, -4421349576, 10298261606, 24316680960, 397065375, 16447536000, -27946244928, 4696914924, 20192221604, 10623641000, -283738248, 816190452, 12096632100, 10244880000, 3887378250, -19758131460, 2608014996, -13131554688, 1818259464, 949218750, -3495656992, -535777920, -1494241020, -5006793816, 1790909000, -1323248724, 12741999230, -7767648216, -16816766400, 900252000, 5660769318, -6562146960, -2216946886, -15819855408, -761622750, 9527716800, -4730449608, 4925539584, 13974723698, 6186348000, 1613922246, 13875605576, -12624621798, -9506784024, -4843750000, -6434634096, 4015736298, -228617748, -2106130728, -1181439000, 23024036160, -11689498800, -3065469786, -359535344, 7263394250, -5952063384, -22978617628, 14768077464, 3336179724, 3782034000, -5087822586, -7152644736, -1492163708, -34935606468, 446168250, -30882760384, 578645778, 980851032, 1465324560, -3307500000, -4559768154, 23280287220, -47710286112, -18449541936, 3331387500, 9965880000, -11590568478, 18390543696, -9578792262, -1195742250, -22564822156, 10470223176, 14821958448, 62565873984, 2950053500, 689635296, 4262910928, -14892210684, -446583942, -8769579000, -23352377202, -6026389308, -14843339248, -19592049024, 3381750000, 16352629272, -21866854824, -11102086800, -16022502754, -8049429000, -8986561578, 6106462592, 983310342, 2893805352, -3322518000, 9244564224, 6101730000, -30385484424, -7374745632, 1416933000, 7005694255, 22441145724, 12270326634, -43535182096, 7444840125, 2300549040, 15355796155, -403997088, -2218992300, 2350687500, 33692118600, 15199999920, 29986078310, 5158241172, 536179500, 6488482752, 30759425382, -6957855936, -16650808564, 17750054000, -3314900862, 25525204488, 19856184708, 4166497440, 8870883750, 37991595924, 9193027743, -20840680000, 13474126464, 9461326500, -6226546088, -7911204048, -3832392366, 8229362400, -669921875, -31497359544, -6359218618, -43854808608, -10029123054, -3062112000, -13725063306, 1543790178, 2434646396, -2925768048, 8939119500, 39167807904, -33217132944, 14330207664, 4631309480, 14073358500, -4260031056, 27482063168, -1031582880, 15114126636, -14382678000, -11815751808, -3746849400, -7001061660, -48280020000, 2232562500, 1104910884, -51646735296, 6709520412, -18155961648, 282613250, 6963054192, -17127742348, -22238787984, 10953191466, 1378345500, 30859203156, -485500608, -28677432384, -71571830220, 2819738250, -19623537640, 4200736092, -2961189252, 12306110312, 11888100000, 12418739964, 65109562020, 5129856360, 14550290496, -6775281250, 43383876624, -11668793904, -32967466560, -28445789106, -18832500000, -692246716, -72924551448, 13364265168, 31675950936, 8374716000, -1593640656, -40862617486, 21524465592, -9710982486, -4295340000, 15262192458, 28240076844, -27812093400, -8094207168, 843908625, 104535501696, -23285888352, 8895343968, -10630061252, -1654875000, -4993427898, 3508955856, 29808517698, 1734702156, 10089193500, -18638675664, 33707552544, -75383538192, 4253192454, -11539368000, 68587385889, 13939951464, 3864463992, -56127962968, -8849238250, 12952434600, -7130760160, 54797360040, 1327818744, 11828371500, -43296924948, -2812385772, -2042335876, -65876736528, 753468750, -2553220768, 27744175170, 11469808008, 50138685216, -2882400500, -4711820058, -65450460240, -3012766008, -11829267216, -9418416750, 23430449448, -1623638520, 2059729504, 56293028400, 13148244000, -26784547936, 65620800000, -27679958172, -17733333240, 19695638000, -18932257008, -24678396442, 11733180408, 8534903094, -2390625000, 4910585568, -12917949984, 22137232824, 10847082960, 11766289500, -14166250704, -777853032, -764143632, 797592674, -33806146500, -30529638774, 122077267200, 21667795818, 28945538406, -6677438250, 16526888640, -10813477158, -10960577100, -14121930768, 5528817000, -13379568970, 36746919468, -67093920000, 43613012992, 5592843750, 2084665896, 3002094544, -11715880008, -1089547389, 36014796000, -26476697460, 23943011616, -31649097286, -25296572160, 7080412500, -29151270904, 6982925124, 34489996020, 6044161208, -682252000, -16978375008, -20231336196, -10666965918, 22253039928, -5895768000, 74369683800, -24447599874, 14990381856, -18134023362, -2604656250, 37352266028, -24218193552, -949153626, -46637640000, 27764784500, -45814325760, -4914254296, 47384361954, 3074153310, -3238851000, -17704518906, 34755296616, -28924439632, -2470291488, -9693877500, -11507119416, 42140544864, 33100539192, 12463503254, -11927358000, 2089892826, -10654157248, -67532534556, -55919852064, -11320187500, 84138941544, -7334650116, -16975338912, -6389457864, 3011499000, -13622364000, -92746225332, 23199757641, -107596439104, 13291250000, 1098800316, -30330314776, -28576603776, 32636662965, 14542654500, 15748086660, 3241868616, 63568573934, -12545840376, 20087601750, 15177573072, 68657889198, 10963142316, -19930753822, -24549000000, -36475021440, -16494946704, 80915475492, -6411182400, 1865923500, -10377901296, -7045372386, 65235780344, 62555082474, -26342293500, -120440031264, -7288102368, -1224285678, 52003522908, -17526826000, -44294040000, 11016431606, 23290968816, 29637197190, 9075780000, -15584527152, 32560895808, -12817705708, -89073482232, -1423828125, -90267795144, -9141327300, -5793975360, 56823510650, 33374929500, 7510190724, 16108240400, 128308713216, 3281116734, 14182900500, 8777626560, 11651472324, 34401991140, 29138562264, -3892266000, -8094946804, 6730879608, 9843220440, 17523489024, 12515011250, 39226784328, 134421580000, 24063724776, -14291575200, -21853125000, 74708960928, -25112778624, 78757582178, 34476973524, -9279522000, -66734571764, 11171119236, -34405838316, -4915952552, -23828526000, 14260176036, 22087633176, -72764154840, 27820329768, 46508004750, -19074585024, 342926622, -18188951392, 9116989392, 2929486500, -60856199908, 72804004392, 17534248200, -73880743032, 2739375000, -3888064152, -42493200768, 32832720000, 8928095076, -64891386000, -91560445614, -36618804324, -20428641303, 91788258240, -5673051000, -55641127284, -54390087984, 30924669888, 55746602964, -6450286500, 52403409702, -38065207824, -55520554626, 76576640544, 11886910500, 27199351200, -1471276548, -174530151144, 51810630432, 1289250000, 8412057410, 38202936372, -34920430830, -48706148176, 35795894750, 45747333576, -24006349080, -17536580928, -14948820000, -100730441250, -24341705010, -79512056568, 31523063030, 38018093184, 1793613375, 20117819648, 79628170398, -25961879916, -10271784600, -20469211000, -93848810976, -5636187360, 78846198672, 7457809968, 1838265625, -43548739524, 22338316026, -90150853072, -20797957386, 21744976500, 69360894872, 8402435328, 9039583962, -63606627756, -1313603000, 84706800192, -45037782418, -3090981240, -24528943908, 47430000000, 49745829756, 27528643800, 118903748832, -97014665664, 12074143500, -38617295724, -112833833064, -10207632960, -4908245446, 4394531250, -4340708028, 70494539528, 39466068432, -22922745984, -6917782500, -71123156496, 45578226636, -65235226392, 131870360556, -6126151500, 9389098444, -185207526720, -33661718586, 5136842624, -77855400000, 107949482136, -775490758, 36248587704, -3450823560, -30380310000, -110962020000, -4368879504, -20513436272, -3782180052, -3526031250, -244691862912, 3259560354, -37689795720, 101200962008, 22803424000, -7737361758, 199090407924, -147709075008, -28053146016, 7471862250, -31527867240, 10436783904, -32620946400, 50804662938, -44012889000, -92888041252, -9638980512, -38287806732, 5485285440, 18591371750, -1624083696, -139632516574, -382165236864, -56987393886, -5469625000, 33271588722, 51676380000, -8611610248, -28886923872, -14191989750, 34396475148, 158083421436, 34204323384, -22980220704, -27555849000, -12344043600, -75769162560, -26834567844, 78100595604, 15445276500, 11786412960, 65782212912, 48045120624, -29800510560, -33114096000, -12912503590, -21760028964, -2315685267, 200935992656, 2065593750, 7254710568, 118224681152, -10932913344, -58751711856, 4540977000, -202659822624, -61957074312, 224592520000, -217820761200, -21110037750, 32534096256, -27684746964, -68144299488, 28587744736, -85414546000, -22671189954, -120549449664, -14048995632, 31664025792, -53660039250, 47759328036, 10501592490, 221622562952, 16900377840, -5535843750, 24282309758, -72899874504, 77470102944, 167267233332, 68620178000, 78497834184, -205798395600, -32457051396, -10444581288, 3192756000, 83848724742, 55143117144, 27304687440, 487052160000, -2067518250, 273632690592, -6571279284, -5250269664, 93092692791, -27899950500, 107357745330, 7909306972, 90880641750, 48658363740, 15656250000, 153360466560, 4441783878, -4249901304, 25844135562, -51398550000, -43557916162, 62913592440, -97664343030, -86863693680, -41604451750, -36078781536, -35020873688, 123250425984, -65075814936, 13397247000, -9467671728, 12850583904, -54044830672, 53850226248, 28248750000, 177471465752, -108234917760, 180823122468, 160062416168, 6559875000, -47513926404, -242560042020, -64916640600, 6890152248, 56807067750, 45925349616, -32286698388, 276137220096, -145913895102, 10650690000, 29900945592, -22316075880, -42360115266, 92764065996, -10273112500, -87531858144, 11543635972, -246895080228, -156803252544, 70370370000, 18322890558, -22056822288, 40504401056, 19114748256, 2482312500, 433566000000, -42622376460, -15171073848, -30384711010, -32212296000, -2602053234, 140835182976, -198471123882, 46216308024, -15346763250, 53244126768, 113075307288, 274259728224, -91679234628, 19289340000, -98172304704, -98824600224, -20909927196, -168413055468, 42560313625, 139174438788, -20164418704, -2767348944, -19428651900, 43802437500, -44543664792, -236917997820, 76872205958, 152939043360, -17742557250, 1872099488, -54349200000, 6973568802, -32674140844, -145821109000, 98815104792, -108995474448, 16177987392, -27610876944, -46431125250, 185368708908, -17204712012, 264781637120, 26492277372, 7147176750, -202968546736, 265661894400, 98175690360, -503032408704, 41384812500, 51144184728, -76186568668, 363459988872, -35145674172, 66343554000, -164617785270, -5107288464, 74901076532, 8887407144, -19722366000, 217739377800, 47511520896, -25578720000, 109203853802, 69972808500, 26599999860, -215144098120, -169514402586, 46944269928, -17346525000, -82005219072, -17599770612, 32728670352, 35238384264, 10335937500, 9890439136, -62921825856, 19376924976, -37111737600, 31062594500, -26896338360, -99398223648, -54518421552, 21249376056, 32236362000, 35017775928, -8263553256, -52277835708, 229355986140, 50709219750, -84581058352, -155210094156, -302701795200, -36471190000, -2247688000, -43418307609, 101893847724, 55140264840, -71454489120, 13054343750, -39905043948, 16440865650, -98793382752, 47729925312, -13709209500, -59813644156, 103746249600, -55120379202, -85148092944, 57494166500, -30393460224, 20588780916, 251545026564, -3126998844, 67362456000, -270886131600, 29050600428, 83047400024, 86651740944, -54022194000, -227243192364, -5120094084, -103518314928, -237008951386, -87187500000, 37944858240, 16065557024, -44015701362, 72283253364, 61871598000, -2489393256, -51734994030, -37910353104, -168246617760, -7377966000, 48093610544, 414432650880, 30347004294, -127285653600, -44958252250, -55178456148, -64947199624, -24903940320, -111554525700, 130741096500, 205327909980, -64811356848, -79957585810, -413615117304, 3906984375, 92225136816, -21050151216, 60051235032, 36864880700, 41182148000, 69956460000, -91580806548, -208942523388, 17858237184, -23117721750, -26858946744, -71076542931, -380409937096, -38917878972, 8031028500, 314152772056, -192859687296, -52132944924, 10415624004, 156053484000, 10680377904, -215921660458, 26375842080, 17260679124, -53423000000, 270101919702, -82075826772, -34341190870, 253496460840, 17891037000, -858785150016, 179137809108, -115215506784, -32242809358, 59964975000, 83879778096, 108517360000, 103294879986, -208630232604, 6147309000, -45916259424, 25463008368, -172418260716, 40153087416, -13020304500, 229410197390, -406166798808, 139119337998, 65385475344, 3488281250, 266795252064, 98091965204, 681272850048, -1648200474, 53100963000, -127617965034, 47768978880, 223174602000, 76732396704, -21813981750, -162159627448, -162470638566, -8038510956, 249289792416, -54765126000, 18818760564, -420342789636, -40981380000, -65620683576, -7516845000, -267180106464, -16444713474, 48916096256, -43938457332, 60871500000, -24115214960, 178061963184, 24742420056, -393603386832, -128147954500, -69331399200, -79630531198, -288405049572, 15566851944, -87649338000, 114847412352, -161758108404, -177048672184, 61524585216, 39513440250, 17699586156, 62550597336, 31510324944, 250608511670, -59805324000, -78005284362, 57731360256, -32617682412, 109831140000, 54473562500, -330864163728, -34936453224, -132745421376, -462461231400, -3537702000, -66631798517, 126102496590, -48841343712, 244359142328, -141340920250, 220865879412, -98223935194, -271872769824, 135401692716, 134007122250, 36803396184, 25050422880, -75346668322, 276404330790, -50062394250, -27983672640, 253917144486, -39941861400, -122136633172, 25596375000, -4921675101, 606458134800, -21873220584, 94922448480, -310620000000, 539749409580, -51602986710, 56167514984, -203964935274, 9651231000, 412502621976, -16200002688, -10096319412, 553669656876, -5044200875, -75763320192, 125578565532, -299714554152, -58840176492, 110847276000, 71034393678, -59668215516, 401929257884, 277941115536, 32779687500, 357411324744, 465786946464, 67297594176, 3604526632, 159675907500, -51715460286, 413686266728, 178808902830, 165474499374, -78603588000, -130147920000, 51608757474, 242534276352, -76021907760, 103023333000, -163145546410, -112077829584, -33131449764, 19752156512, -113183332750, -68983062588, -132739880164, 89608612800, 28611877536, -12058593750, -133782962208, -196697796336, -198487697590, -114465935124, -4394229750, -477530138176, 18982395180, -180524214972, 217107067136, -212103360000, 110821114548, -247051139508, -259326115464, 16810159716, 14232191250, 43823635128, -49249080000, -18271122912, 130119014676, 160904151000, 213635217600, 426493908288, 54928206486, -597908392992, -44879062500, -35778688416, 403382030306, 83363570640, 83461690926, 153243237000, -22146360708, -76680559008, 330418215488, 171622680192, 9675429750, -18568491840, 273370054344, 164576045592, 126577330550, -258888204000, -114864960816, -62572595456, 189181030848, -67443289200, -33956713500, -76233782520, 261795226716, -869040360000, -20502790014, 13942125000, -8672829910, 19888395912, -57304404558, -562375562112, 107406285375, 120771367416, 10634436952, 45330570912, -68621000364, 5087038500, 411336301788, 75819923424, -51014724082, -308299362264, 151095661875, -138878961696, 130606240800, 197157446388, 44306159184, 15008651000, -57027139776, 555465656808, -3564754992, -33629178240, 92998156250, -516193782912, 38942819874, -779337706840, -821074680000, 50755288500, -193068781744, -122546990160, 8454281040, 75613249656, -168865840000, -32244060744, -213066434304, 221509985616, 65323109286, -29681400000, -42381838716, 223537319352, 30932505736, 708970786440, -32617464750, 92337414480, -273449468280, 90865079424, 253070046957, -121955062500, 95409941634, 472402212128, -54021113916, -210038290272, -5667989250, -532493111424, 4636471860, -512024203908, 477422707536, -205065000000, 144603926270, -12460440888, -41292965700, -455406382512, 137209246250, 240556773024, -220096860052, 344915910192, 57925943586, 150744888000, -538703160684, 3978893664, -257748875134, -735527114748, -6591796875, 234377514224, 264929462022, -174797684748, 447302804264, -26823960000, 34384118976, 274719464244, 147243147702, 307503058968, 34769401500, -500617681200, 97852839588, -560661575040, -111638022354, 15190355250, -258998180000, 1138275462912, 277811290080, -419145990336, 53942001500, 55550515392, -188293768432, -191341102536, -161924223204, -18019750000, -183763139082, -89881702164, 568872033120, -8760922464, 45570465000, 536553318564, -305897016396, 18888979032, -277973614800, 181605483000, 5673270078, -116396627616, -29582685462, 606735945792, -66164700000, -820842971424, 56534693580, 76557464172, -88406829336, -116262864000, -123976738116, 1234572946002, -298635611886, 151790582608, -42960750000, 69560351856, 62754391440, -350513401392, 47291800860, -159286288500, 100670499300, 141037621200, -212309896330, -128353682880, 66019333500, -136814323760, 55542860436, 23900737392, 114162615602, 128797823000, -8227928160, -779344649064, 542964580536, -17563062168, 1587623250, -36762045768, 573247855296, -717324464416, 560333767266, 13562437500, 338843187800, -176853983040, -77514570000, 499395153060, 81177075000, 124893464976, 94182693184, 902496333888, -51594712722, -18000297000, -57323432364, -84812761044, 25588507792, -712682789280, 41333773500, -54229788144, -155878593906, 29534510304, -922332374784, -169531501500, -117150893406, 255131560656, 51085085442, -29225493360, -26264125000, 12862800576, -72067680936, 1013274511200, 13649393892, 143169768000, 28189420700, -482121862848, 32640043446, 1059912320000, 242608378250, -498239247096, 542747079476, -193096295280, -10882065852, 354521484000, 18123422496, -118230013152, -121980426862, -444211135956, -6811465500, 127761297776, 84647651574, 153628255692, -274868752120, 5968750000, 326731141800, 88390540224, 294260831760, -140662122048, -161668661250, 398470190832, 102216449232, 67738926240, 42111518358, 211793211000, 650993854460, -154254729888, 180824174496, -14001354576, -69207500000, -52929948960, -633737362318, 14356668132, -71638992054, -368111373000, -127017937440, -549533497932, -116785500587, 762360076800, 8303765625, 390020324724, -174007868064, 315184751532, -441982391890, -120193888500, -250900849998, -41263212160, -31191366432, -194642588844, -434485236000, -119348506200, 48685577094, -254194753824, 47393573100, 34526898000, 103779377044, -240832241460, -82714675716, 400133123096, 103418129750, -1207690560000, 485999980200, 640946718720, -410449035888, 100671187500, 127407007686, 22699695312, 106561148222, 54037701792, 41849925750, -73164475152, 374180012430, -19611853002, -447331516920, 392161112000, -72987545610, -476580554280, 150204161376, -59779283904, -113559925500, -569683751148, 6374851956, -275451563520, 62033982630, 127447425000, 38030657368, -182046712176, -94370388660, 125692652232, 55898812500, 375557734440, -1080755480000, 108794901744, 54118172304, -47257560000, -402603765462, -305610750144, 600619123004, -220296771912, -20095870500, -192005386524, -722615522292, 138967963632, -673896187006, -106123824000, -80775339372, 809803223600, 47598864600, -440056797732, 211010308500, -37426966464, -271234683702, -326412420516, 781538205012, -28361812500, 646999800768, 672340788504, 363840063030, -151240147488, -155841289750, -17084765268, -85235759308, -507832080000, -68888024424, 499766121000, 239906738556, -739996591104, 395865089378, -88456577328, -15976035000, 515963052388, 926958006444, 55334759580, 42150364408, -20226294000, -139146098994, -318681340308, -567483950496, 378446563152, -16324218750, -520639913376, 370342620342, 6167655872, -663032676246, -174489795000, -376965663148, -125299744752, 33085233432, 758529807552, -35821119250, 206709489648, 503599301834, 224343058572, -650349000000, -129875676000, 50023380546, 37618070868, -819515805568, -737981677440, 48318444000, -1215585622008, 87279148968, -608905055808, -157763992876, -203763375000, -69324462036, 525439104336, 336328150386, -132023702088, -177258364500, -184842579264, -411389592336, -115010241552, 112852724880, -7518906000, -182307570406, -245202552000, 148236900336, -1009903342504, -263830527250, 417595637538, -603984229344, -671928782976, -208761658182, 239242500000, -47472137184, 11964714552, 47319216516, -545945665968, -65703656250, -287918523648, -169775664912, 587459933370, 361385030036, 158353349000, -229408565040, 283465559880, -1148492776104, 20245138704, -57148350000, 1144234330812, -10460353203, -136610261872, 1263041873664, 361576831500, 123365444174, -37894332768, 163493211672, 1235842005564, 304547282000, 119376438552, 218440727068, -358753568796, -278053063362, -153306000000, 890400600000, -656550385920, 754508111732, -179611641888, -10720765125, 1456478558856, 191411066412, -444083472000, -475886018063, 33586623000, 754548613056, -113003814112, -15728650002, -126816702948, -271998666000, 407390791536, -545189983308, 1125991484532, 63435028482, -286838307000, 324624736070, -2167920562752, 7660932696, 18196438592, -97731656250, -22037142204, 102360793752, 566260582776, -326609066700, -315482868000, 408473095800, -276611760000, -428210760096, 198295768908, -104959212750, 253612771552, -1008552361050, 533469549420, 383175691568, 146592712000, -70416404892, -280521488736, 56990930124, 354551976576, 48618483750, -230718702744, -49093005528, -556254807408, 126747187020, -25628906250, 874299706220, -982915991568, 94382738784, -164543891400, 358657884000, 14466003840, -362278299404, 1022823191700, 40344507540, 363415899000, -16868215896, 135183433032, -1845083420000, 100594317600, -48354543000, 2309556837888, 424205144100, 35727715548, -316791400426, 255292209000, -344033979210, 607999996800, -396952920498, 209726501832, -9571843750, 374599459080, 454052692800, 524494120752, -95776393416, -24306804000, -385339255150, -145709042472, -152840771586, 73291800176, 497026598750, 177177967920, -335420568088, -43751456256, 59857565922, 225270202500, -261787350768, 427136096016, -153581277682, 2419588440000, 20563814250, 150275505744, 815166885066, -257248353600, -263421296140, -237956250000, 127722139416, 1344761296704, 20626222680, -132989568768, -452149736250, 1417636479204, -377317539846, 375415933928, 371858028690, -167031396000, 500494608152, -416750591016, -43575900642, 201080146248, -301276921000, -374641350552, 351637987148, -88487145936, 340864788546, 59493444000, 1780500100416, 256683168648, -1167438925800, 240509783472, 130781250000, -1309754787120, -205499703264, 173735120592, 103639016124, 837144085500, -108424880046, -207701036928, -599657705082, 6172679196, -219971881500, -1259894381760, 56865529656, 164105809056, 534124672632, 31898853000, -1215436110874, -1095411598344, -621648976320, 454653578448, -149475455500, 315616467600, 717482807396, -804479201904, 82767684222, 49308750000, -542220236112, 9707454288, 4037978116, -764877613824, -196111644750, 357511840000, 81853420602, 160705711368, 387839485166, -405240084000, 620422675956, -1648088021052, -49766306856, -398738091528, -725940984000, -367715543454, -90076852548, 1482571162496, 1243710955200, -102114918000, 787944711092, -605870052648, 137371209822, -979021583712, 11492187500, 193121407872, -4659203878, 1003438853352, 40288420116, -70236453000, 552235178838, 943261374636, -518714385472, 95038623456, -12046542750, -999369983268, 852341280000, 833834530368, 1014273576158, 213964389000, -15623436006, 169857172800, -472790962674, -26482977864, 523496793000, -1900439423568, -39563763120, 932591347776, -1342229191680, 89302500000, 13841287201, 151417033380, 123113740158, 415987529384, -96805218500, -628567754940, 557170742808, -304164925344, 1288177725024, 644326105500, -1238689313508, 498137632272, -79447886240, -432114283440, -89947462500, 43784143232, -474517990902, -269078760000, 948055203576, -1096842582500, 312945348906, -438150690180, 361931666676, -496544679792, -82141468750, 567415134540, 258627391074, 413974792448, 215688245472, 32285040750, 119657942208, 202693538304, 609250198212, 1433307067164, 457477337000, -282696025752, -1349856205858, -184892122800, -400192878096, -127828134000, -933950373642, -1689278597568, 310575065066, -61371817920, -79651444500, 1419231576096, 687693290892, -18620152992, 521080240000, 33088781250, -115098595056, -474197385928, -1123960297728, 402089688468, 454517085000, -562982878368, 12057766434, -374363232948, -883199545344, 236778633000, -411891429600, 1248496107696, 630514184454, 582011619840, -162711454500, 162712511316, -493803971836, -692605502232, 400770159696, -23644854000, -39053132790, 528985323648, -130719057958, -810680083524, -91307250000, -33657351280, -605044978806, -441520990344, -1511725902344, -118420000000, 590405080248, 895424935608, 144154396728, 299756343600, 123148147500, 2140267478976, 432607574358, -605846687616, -72061606896, 217334583000, 23176953360, -420499442328, 242637162606, -2031008995152, -81480419500, -164874489984, 909521043264, -88348418028, -26549379234, 47851562500, 299052666276, -78132744504, -176824283920, 440231206032, 89707986000, 710389231776, 502206335400, -249603234048, -126437916116, -124520085000, -164746710000, 177575462624, 93177221844, 820408079448, 98376741000, -710339131824, 199118132064, 2373666490008, 802562641440, -38257191000, 317023077530, 169003771992, -189153744885, -2016704179840, 234764906250, -605910934548, -294722847069, 355813758720, -331298819118, -1401397200000, -320638285248, 1175449916592, -259925659308, -13958833644, -201010683375, 226368731376, -1918909796976, -62114824080, -1212643596724, -330807820000, -414606496185, -1997316360000, -441696614484, 10907921376, 76115118750, -369241852896, 59912792100, -41183738344, 548638885950, -63468562500, -689050745464, -1528075715328, -909687202200, 58672086372, -255186940750, -410399997840, 67148708726, 1821617316144, -809624114370, -140710464000, -134570338524, -139272511644, 2982465328608, 2167873330728, -14476846500, -2658763350144, -119747339376, -175189034304, 463367864960, 134493520500, -830504485314, -343303443280, -1109032440000, 187862110272, -250102750000, 81445761600, 449571831228, 914483932884, -1288386359532, -479251458000, -974139110892, -1671984742536, 89502323274, -60194449728, 175670640000, -689180521176, 281411275744, 59728663680, -536116987116, 334644691500, -915940894500, -112495430880, 437130477146, -2513385298332, -239513861250, -4161354801408, 15552962502, -1025773089948, 1152547565400, -34157250000, -248211749061, 598888596996, -72961470552, 562698360000, 140495390250, -155008984464, -363801414528, 72122907968, 1107310794870, -255455815500, -376502171710, 374539396056, 168116744376, 2845501585848, -516456137500, 213602509296, -231271184278, -413643972672, 103474593882, -300052578000, -825849913902, -222192784800, -605297127176, -1223829469824, 18087890625, -483022221192, 1245463636680, 850428707688, 762283796544, 278014977000, 171698902686, 73604946240, -436403237982, 1184079832416, 323872500000, 523157980128, 270786322458, -536409190080, -95407237716, 82677024000, 35035289488, -232425064620, 370576709262, -236942537608, -329058069125, -41682334806, -385159113880, 1254824770464, -65735452692, 37180687500, 2295519138528, 78995737296, -148016852116, 2128044260736, -241356226500, -757290280320, -324184962246, -1057530813408, 269718429020, 49446194000, 896862589488, -3647876807232, 1868821908504, -386915606928, 79910551500, 4042665360000, -125045355960, -2371826066400, -485659593132, -379980679500, -139251559168, -81228920064, 115020838512, -498325445352, 82828875000, -742015705536, -818211621010, 514579405248, 27852737760, -533405124000, 181555936800, -408081419172, -1525259599972, -1312649563008, 388332306000, -252881921376, 649822540584, 319025298816, 1563693042626, -965880706500, 101164933800, 520046016392, -789708064878, 189028664820, 117884298000, 1384010291088, 1303560540000, 304206801120, 1532914466784, -60279187500, -2580843169076, 437081575644, -29832593868, 182011451376, 644071009250, 1394461852992, 1125439159004, 1821354318504, -181157051124, 1235163204000, -468670044420, 490210964496, 334869669914, -3704371120800, -7630557750, -353421226312, -84238733184, -188002463184, -1061508414616, 221152680000, 462449043396, 1509277045356, -4356438198, 600447275568, -100990656250, 491484373920, -295736169582, 3041591040000, 1248691745022, -37215328500, -984094411828, 2979555964224, -833198485212, -118283027112, 87123891500, 13108516416, -222749893800, 1675668470238, 774290674368, -303799461000, -1212107695722, 1932439415940, 396703240936, 49392814968, -76132932750, 1635851551500, 1247896058136, 529835516280, 1591253310614, 281812500000, -113419874484, 2477090311424, 2084426688378, 79952109804, 114548241000, -46276703088, -332264978424, 465194440116, 1938996060000, -320978700000, -443623556160, -784042490916, -335305979028, 685059117680, 72068759000, -1757958174540, -784877263960, 216875365920, -138506121720, -748880131500, -197252377224, -392857843392, 464357460960, -630375726384, 182932593750, 769686333696, 292833919014, -1171364668848, -665717389918, 145881134000, 315057435408, -170418091104, -3478557904500, 890121597120, -361135575750, -972806952096, 768036305862, 586369130256, -1123790317950, 508477500000, 1718491068272, 1108291194288, 18690661332, -1948228519680, -161742839000, 1968962889096, 646877777894, 2881123491024, -360835159536, -16378250000, 827972153250, -855250675272, -1414895648908, -2641209346440, -226117332000, -1168499530800, 443618806470, 43028297712, -1157234828633, 1022527219500, 1103290672122, 500076029152, -818744104068, -581160570984, 626859688500, 1462337974272, 262196527122, -2626450111836, 637081029036, 115974180000, 189905380000, 538217020656, -412079196366, -139361616720, -231770343750, -762482074788, 479155582368, 1010097607512, 750926521800, -184916025000, 182986668984, 218543593536, -968670449830, 207785447496, -22785532875, -2688413095816, -259004100978, -2822458545792, 222156843552, 439455780000, 628718985504, 329812030044, -1179986661504, -240174287136, -238902716250, 729079219008, 287011653804, 1324021567680, 1192227487584, 44681625000, 742552652492, 4721052000000, 134822553246, -767202776280, -46742219500, -94741808112, 349216017242, -546924798180, -804829977846, -350756112000, 1351956233226, -46836958212, -283779348034, -351627711744, -272408224500, -3572480229876, 146476002960, 503244242928, 84301668448, -276241738500, -910103918688, 332504138592, -497791790118, 2035355531184, 151757812500, 2986383707328, -114836196258, -1650226223304, -976894980036, 311562936000, -2525802255536, -1767101484672, -1851859419003, -1076090091328, -239423427250, -376378689528, 1975647566384, -1051722346392, -104340527784, 766085645250, 311608435572, 1515455000136, 990474691392, -362959536672, 238929432750, 6909328736, -2030296186890, -349715734200, -250423289888, 476959875000, 192530524320, -801785966256, -1977932689104, -1479528721080, -153386341500, 1383699707244, -35851106088, 1665336249920, 153350485086, -319366030500, -1028102488920, 129674744640, 1169016973596, -978285600000, 132462396000, 75934415844, -514256333290, -588134535192, 55143068652, -910637946000, -1049133372000, 1778671886256, 728870230672, -1186839610656, -20343656250, 291203773056, -2371131708564, 68936960736, 2340016385868, -835760254500, -749092729590, 2018459274776, -579012286524, -309684816216, 513060715500, 1653534305280, -1353744500832, 476860992696, -1990738105620, 77824813500, -593142771060, -3653433841248, 127219141566, 2676629491200, -228005000000, 1767162426480, 427628499074, -5477464005888, 81344682216, 744926625000, 202645282344, 319390214832, -348884295838, -1371358236024, 254297252250, 3957675434384, 669624509106, -632622135096, -3441110997024, -165642076000, 43838240040, -2963120134860, -882370860696, -55612696608, 386396717250, 1348219377576, -1519911766800, 55500950736, -428627006046, -355002588000, 778645486964, 2370939891600, 723182794272, 855207376128, 44793656250, -1771761600000, 178814480740, 1965669368436, 747358870644, 761926137000, 4400474774784, 478799997480, 341902494136, -1343552939280, -531782226000, -3051259246548, -2492896159392, 511170939216, 98293151222, -312237450000, 666316703934, 204745056768, 2130428546844, -316795871016, 1212014938500, 356378854944, -230442383538, 634290916752, -20150856816, 64546875000]}