# Trace form for 150.6.a.o, downloaded from the LMFDB on 24 April 2024. [0, 2, 8, 18, 32, 0, 72, 114, 128, 162, 0, 174, 288, 642, 456, 0, 512, 1514, 648, -120, 0, 1026, 696, 4352, 1152, 0, 2568, 1458, 1824, -2430, 0, 11684, 2048, 1566, 6056, 0, 2592, -17586, -480, 5778, 0, 24984, 4104, -24168, 2784, 0, 17408, -13316, 4608, 35334, 0, 13626, 10272, -13698, 5832, 0, 7296, -1080, -9720, -23730, 0, 57124, 46736, 9234, 8192, 0, 6264, -38316, 24224, 39168, 0, -11076, 10368, -88548, -70344, 0, -1920, -52532, 23112, 14220, 0, 13122, 99936, 50792, 16416, 0, -96672, -21870, 11136, -60420, 0, -150756, 69632, 105156, -53264, 0, 18432, -171216, 141336, 14094, 0, -101826, 54504, -177558, 41088, 0, -54792, -95856, 23328, -71080, 0, -158274, 29184, 118542, -4320, 0, -38880, 52002, -94920, -101052, 0, -244514, 228496, 224856, 186944, 0, 36936, -255486, 32768, -217512, 0, -177846, 25056, -756240, -153264, 0, 96896, 122454, 156672, -316300, 0, -119844, -44304, 243204, 41472, 0, -354192, 318006, -281376, 353490, 0, -207076, -7680, 122634, -210128, 0, 92448, -477126, 56880, -123282, 0, 997464, 52488, -574428, 399744, 0, 203168, 292344, 65664, 25546, 0, -9720, -386688, 81322, -87480, 0, 44544, -213570, -241680, 1197150, 0, 592264, -603024, 514116, 278528, 0, 420624, 319068, -213056, 83106, 0, 1489764, 73728, -409068, -684864, 0, 565344, 529174, 56376, 98700, 0, -344844, -407304, 1547640, 218016, 0, -710232, 352512, 164352, 738960, 0, 240804, -219168, -99684, -383424, 0, 93312, 1040688, -284320, -796932, 0, 1048044, -633096, 1887042, 116736, 0, 474168, 762824, -17280, 130240, 0, -472788, -155520, -765638, 208008, 0, -379680, 127980, -404208, -572580, 0, -938956, -978056, 118098, 913984, 0, 899424, 2209680, 747776, 457128, 0, 577794, 147744, -370776, -1021944, 0, 131072, -173946, -870048, 184148, 0, -196830, -711384, -1183888, 100224, 0, -3024960, -543780, -613056, -1775970, 0, -747436, 387584, -1356804, 489816, 0, 626688, -1310586, -1265200, 946404, 0, -2217996, -479376, 2810052, -177216, 0, 972816, -699212, 165888, -1131566, 0, -1540944, -1416768, -2844138, 1272024, 0, -1125504, 126846, 1413960, -851208, 0, -4874776, -828304, -916434, -30720, 0, 490536, 27744, -840512, -1598022, 0, 279204, 369792, -967788, -1908504, 0, 227520, -2051086, -493128, -1897560, 0, -862704, 3989856, 2157360, 209952, 0, -2297712, -639720, 1598976, -1133712, 0, -1468216, 812672, -1424466, 1169376, 0, 262656, -728076, 102184, 1066878, 0, 641808, -38880, 7217340, -1546752, 0, 325288, 3523344, -349920, 619580, 0, 468018, 178176, -4385558, -854280, 0, -966720, -909468, 4788600, 3161640, 0, 4047802, 2369056, -2200626, -2412096, 0, 2056464, 1450914, 1114112, 2023704, 0, 6151164, 1682496, 2541882, 1276272, 0, -852224, -5838480, 332424, 5282980, 0, -2299374, 5959056, 5551852, 294912, 0, -1636272, -1957608, -2739456, 1667370, 0, 1046264, 2261376, -1600614, 2116696, 0, 225504, 1658814, 394800, -6806160, 0, 5882664, -1379376, 2626464, -1629216, 0, 6190560, -2716532, 872064, 706960, 0, 1102086, -2840928, -12905860, 1410048, 0, 657408, -2846700, 2955840, 8828250, 0, 4103504, 963216, -1078596, -876672, 0, -398736, -2739132, -1533696, 2188836, 0, 286104, 373248, -5036508, 4162752, 0, -1137280, -9253920, -3187728, -10222740, 0, 2862054, 4192176, 214752, -2532384, 0, 7548168, 3181410, 466944, -435360, 0, 4296908, 1896672, -1863684, 3051296, 0, -69120, -4613496, 520960, 1103706, 0, 3461754, -1891152, -4834458, -622080, 0, -3062552, -167856, 832032, 3186688, 0, -4294134, -1518720, 1394584, 511920, 0, -1616832, -1109538, -2290320, 828180, 0, -9204756, -3755824, 8977176, -3912224, 0, 472392, -8346, 3655936, -5169852, 0, 1583274, 3597696, -6897960, 8838720, 0, 2991104, 17728968, 1828512, -6133200, 0, 2631096, 2311176, 5922612, 590976, 0, -1483104, 229914, -4087776, -1526910, 0, -11167336, 524288, -87480, -695784, 0, -3480192, -783792, 736592, 731898, 0, -9897696, -787320, 7734612, -2845536, 0, -4735552, 7720688, 400896, 5590066, 0, -1922130, -12099840, 14389764, -2175120, 0, -2452224, 10774350, -7103880, -4045242, 0, 17309864, -2989744, 5330376, 1550336, 0, -5427216, 4554024, 1959264, 4627044, 0, -20088000, 2506752, -11554560, -5242344, 0, -5060800, -7033146, 3785616, 2733672, 0, 2871612, -8871984, 1858192, -1917504, 0, 11240208, 747954, -708864, -11410800, 0, -13848136, 3891264, 13407876, -2796848, 0, 663552, -2384496, -4526264, -3681612, 0, -24083256, -6163776, -8123676, -5667072, 0, -11376552, 12718944, 5088096, -5197440, 0, 4762566, -4502016, 11896062, 507384, 0, 5655840, 888300, -3404832, -13917000, 0, -954296, -19499104, -3103596, -3313216, 0, -3665736, -2170626, -122880, 13928760, 0, -3150336, 1962144, -23543898, 110976, 0, -3362048, 8507114, -6392088, 15566140, 0, 3172608, 1116816, 9046060, 1479168, 0, -3871152, 6650640, -7634016, -16872252, 0, 14343004, 910080, 2167236, -8204344, 0, -1972512, -10015686, -7590240, -897156, 0, 4065984, -3450816, -13457028, 15959424, 0, 8629440, -9235836, 839808, 9488740, 0, 9366192, -9190848, -13847638, -2558880, 0, 6395904, -7172388, -4534848, 28023690, 0, -361076, -5872864, 9432396, 3250688, 0, -5697864, 14946120, 4677504, 16983378, 0, 10964988, 1050624, 12389772, -2912304, 0, 408736, 26687714, 4267512, -10758512, 0, 6865416, 2567232, -2135608, -155520, 0, 28869360, 1172160, -6187008, -25192908, 0, 36297104, 1301152, -4255092, 14093376, 0, -1399680, 25282788, 2478320, -6890742, 0, -6486606, 1872072, -13183440, 712704, 0, -17542232, -28973032, -3417120, 19670280, 0, 1151820, -3866880, 29920784, -3637872, 0, 19154400, -5153220, 12646560, 19106160, 0, 29160244, 16191208, -8450604, 9476224, 0, -8802504, -7664346, -9648384, 1062882, 0, -7803576, 8225856, 33032262, 5803656, 0, 4456448, -8704192, 8094816, -14677720, 0, 19887120, 24604656, -26064828, 6729984, 0, 10167528, 4114152, 5105088, -34690392, 0, -12579956, -3408896, 5200146, -23353920, 0, 1329696, -30558186, 21131920, -3336984, 0, -16151736, -9197496, -9672060, 23836224, 0, 22207408, 27042420, 1179648, 8949840, 0, -1565514, -6545088, -17136198, -7830432, 0, -10957824, 1657332, 6669480, 23980560, 0, -19323912, 4185056, -1771470, 9045504, 0, -6402456, -34313796, 8466784, -10654992, 0, 34672044, 902016, 36322404, 6635256, 0, 1579200, -36714886, -27224640, -8956112, 0, -4894020, 23530656, -1583576, -5517504, 0, 10505856, -15983730, -6516864, 21627000, 0, 12227924, 24762240, -6726924, -10866128, 0, 3488256, 43416480, 2827840, -12211236, 0, -13221486, 4408344, 294582, -11363712, 0, -51623440, -45469576, 5640192, 16390080, 0, -11795274, 2629632, 5389938, -11386800, 0, 11823360, 8517636, 35313000, 14227680, 0, 7456202, 16414016, -19961964, 3852864, 0, -4314384, -24803598, -3506688, 25290468, 0, -24028536, -1594944, 20584542, -10956528, 0, -6134784, 39460434, 8755344, -25923500, 0, -6292908, 1144416, -59730168, 1492992, 0, -20146032, -10184094, 16651008, 13602240, 0, -28411536, -4549120, -13868496, -37015680, 0, -12750912, -1887126, -40890960, -25597242, 0, -56885796, 11448216, -4301268, 16768704, 0, 859008, -13475256, -10129536, -39979852, 0, 1141614, 30192672, 5295360, 12725640, 0, 1867776, -7660872, -1741440, -4079160, 0, -31165236, 17187632, -43872984, 7586688, 0, -7454736, 13233744, 12205184, -8247906, 0, 23829024, -276480, 31397304, -18453984, 0, 2083840, -89760972, 4414824, 9323580, 0, 249696, 13847016, -58636296, -7564608, 0, -19337832, -14382198, -2488320, -49914240, 0, -87551640, -12250208, 2512836, -671424, 0, 3328128, 24791784, 12746752, -8710092, 0, 11904594, -17176536, 28885584, -6074880, 0, 5578336, 43634544, 2047680, -10063608, 0, -18459774, -6467328, 16362022, -4438152, 0, -9161280, -17078040, 3312720, 76112028, 0, 13247826, -36819024, -7764336, -15023296, 0, 35908704, 21577194, -15648896, 19416240, 0, 25673634, 1889568, 34054200, -33384, 0, 14623744, 69623634, -20679408, -17746540, 0, -5757480, 6333096, 19528252, 14390784, 0, -27591840, -10203408, 35354880, -94555968, 0, 70826204, 11964416, -13213944, 70915872, 0, 7314048, -30447246, -24532800, -12820194, 0, -22483272, 10524384, 16696140, 9244704, 0, 23690448, -82361520, 2363904, 104138260, 0, -6552684, -5932416, 38319762, 919656, 0, -16351104, 9601902, -6107640, 42548790, 0, 42508284, -44669344, 5776272, 2097152, 0, -349920, 41659920, -2783136, 64956060, 0, 8841504, -13920768, 43290372, -3135168, 0, 2946368, 61228468, 2927592, -58260220, 0, 31710096, -39590784, -40864720, -3149280, 0, 30938448, 5576220, -11382144, -109437660, 0, 11439964, -18942208, 4212162, 30882752, 0, 1603584, 62761968, 22360264, -39470022, 0, 71459154, -7688520, -31113378, -48399360, 0, 57559056, -13896592, -8700480, 88466500, 0, -8185212, -9808896, 53403840, 43097400, 0, -28415520, 28454760, -16180968, 97239432, 0, -33472016, 69239456, 36430218, -11958976, 0, 21321504, 29076294, 6201344, -19805634, 0, 67927194, -21708864, -4547898, 18216096, 0, 7837056, 12681654, 18508176, -65103332, 0, 13058226, -80352000, 37471132, 10027008, 0, -46218240, 18213336, -20969376, 49928910, 0, 14310088, -20243200, 55360476, -28132584, 0, 15142464, -4818366, 10934688, 22876938, 0, 140062800, 11486448, -67957788, -35487936, 0, 7432768, 162318384, -7670016, -10607780, 0, -52546320, 44960832, -54728596, 2991816, 0, -2835456, 47546820, -45643200, -45117312, 0, 89534704, -55392544, -20694366, 15565056, 0, 53631504, -95618112, -11187392, 49966668, 0, -19424196, 2654208, 15413892, -9537984, 0, -18105056, -56864820, -14726448, 68514960, 0, -17618472, -96333024, 36295112, -24655104, 0, -32494704, 15006330, -22668288, 19661208, 0, -83571556, -45506208, 9416376, 50875776, 0, 20352384, 20887128, -20789760, -14405526, 0, -53353506, 19050264, -118822578, -18008064, 0, 47584248, 121344, 2029536, -87684660, 0, 14929326, 22623360, 12064062, 3553200, 0, -13619328, -61255440, -55668000, -563460, 0, 2594844, -3817184, 52943976, -77996416, 0, -12414384, -63465432, -13252864, 23638176, 0, 50910804, -14662944, -133765758, -8682504, 0, -491520, 93907254, 55715040, 53376552, 0, -24448788, -12601344, 12268012, 7848576, 0, -94175592, 6362640, 443904, 22294350, 0, -136227036, -13448192, 9918774, 34028456, 0, -25568352, -45837846, 62264560, -116152740, 0, -48670536, 12690432, -17601996, 4467264, 0, 36184240, -65060280, 5916672, 46341500, 0, -25620300, -15484608, 67175900, 26602560, 0, -30536064, 79454250, -67489008, 70713390, 0, -51962736, 57372016, 36931536, 3640320, 0, 8668944, -19823052, -32817376, -9707364, 0, 133216728, -7890048, -62149440, -40062744, 0, -30360960, -162290946, -3588624, -97413180, 0, -24652188, 16263936, 76986392, -13803264, 0, -53828112, 19699524, 63837696, -21718140, 0, 50045504, 34517760, 2574936, -36943344, 0, 3359232, 58229964, 37954960, -45328572, 0, -166174266, 37464768, 104365242, -36763392, 0, -55390552, 175356144, -10235520, -45387224, 0, -83285280, 25583616, 36820704, -28689552, 0, -18139392, -92004660, 112094760, 161961420, 0, -55725796, -1444304, 25758486, -23491456, 0, 37729584, 68372394, 13002752, 1932768, 0, -38429292, -22791456, -162172656, 59784480, 0, 18710016, 110021448, 67933512, -174839268, 0, 28632690, 43859952, 47859840, 4202496, 0, 49559088, -3918240, -11649216, -219659040, 0, -186061576, 1634944, 38672172, 106750856, 0, 17070048, -190275480, -43034048, -16773156, 0, 42414984, 27461664, 6062040, 10268928, 0, -8542432, -212721716, -622080, 38490234, 0, -41521464, 115477440, -35880538, 4688640, 0, -24748032, 9933354, -100771632, 54331068, 0, -137465496, 145188416, 31155786, 5204608, 0, -17020368, 78754080, 56373504, -43510122, 0, 56910024, -5598720, -18729600, 101131152, 0, 9913280, 3189868, -27562968, -120430780, 0, -1510704, -25946424, 52359424, 7488288, 0, -52733760, 28680192, 2850816, 38481600, 0, 119384744, -70168928, -38647206, -115892128, 0, -13668480, -5955180, 78681120, 12551256, 0, 149290290, 4607280, 60865902, -15467520, 0, 119683136, -59753856, -14551488, 180713460, 0, -9985842, 76617600, -166379098, -20612880, 0, 50586240, 7453620, 76424640, 159959280, 0, 64151148, 116640976, -82842804, 64764832, 0, -33802416, -46259826, 37904896, 80794584, 0, -100973946, -35210016, 26568522, -30657384, 0, -38593536, -80040272, 4251528, 38804780, 0, -75114, -31214304, -19330080, 32903424, 0, 132129048, -46528668, 23214624, -45693468, 0, 220675084, 17825792, 14249466, -34816768, 0, 32379264, -265425672, -58710880, -62081640, 0, -47600796, 79548480, -101609028, 98418624, 0, -104259312, 81914624, 26919936, -115761600, 0, 159560712, 40670112, -285527618, 16456608, 0, 20420352, -55198800, -138761568, 42263310, 0, 147528000, -50319824, 23679864, -13635584, 0, 20800584, -58478652, -93415680, 53303508, 0, 178409004, 5318784, -83207940, -122232744, 0, 84527680, -260027012, -13347936, 249137028, 0, 2069226, -64606944, 157434672, -36789984, 0, -38688240, -13742190, 95344896, -79601400, 0, -8744096, 88829632, -100506024, 108169680, 0, 4718592, 203805720, 35799360, -787320, 0, -18927216, -6262056, 89609742, -26180352, 0, -68544792, -142224792, -31321728, 21899180, 0, -7054128, -43831296, 25182962, 6629328, 0, 26677920, 6587082, 95922240, -9874980, 0, 71652644, -77295648, -89079264, 16740224, 0, -7085880, 38958234, 36182016, 69611508, 0, 98555214, -25609824, -45890094, -137255184, 0, 33867136, 320693280, -42619968, 26411800, 0, 69486192, 138688176, -142029808, 3608064, 0, 145289616, 50310594, 26541024, -128881032, 0, 146062424, 6316800, -17299170, -146859544, 0, -108898560, -57410466, -35824448, 129507876, 0, -234951996, -19576080, 524884380, 94122624, 0, -6334304, 187420504, -22070016, 63864800, 0, 96969150, 42023424, -18959738, -63934920, 0, -26067456, -36407178, 86508000, -73301430, 0, -58931776, 48911696, 155788776, 99048960, 0, -26907696, 56895684, -43464512, 47973384, 0, -36334716, 13953024, 196222224, 173665920, 0, 11311360, -92981426, -48844944, 91767280, 0, 40986216, -52885944, -38432016, 17633376, 0, 1178328, 41643396, -45454848, -126612912, 0, -5759556, -206493760, -180792000, -181878304, 0, 22560768, 180558804, 65560320, -103991040, 0, -92580912, -47181096, 161712162, 10518528, 0, 21559752, -67576, -45547200, 121153040, 0, -63298314, 47293440, 82146040, 34070544, 0, 141252000, 24603048, 56910720, -266121648, 0, 152579926, 29824808, 25844508, 65656064, 0, -79847856, 312936108, 15411456, 16723728, 0, -146254800, -17257536, -109427298, -99214392, 0, -14026752, -34957146, 101161872, -18189320, 0, 6731586, -96114144, 181782684, -6379776, 0, 82338168, -102697200, -43826112, 259299510, 0, -283105800, -24539136, -124633224, 157841736, 0, 35021376, -7575432, -103694000, 120670884, 0, -79005156, -25171632, 101528772, 4577664, 0, -238920672, -3602812, 5971968, -103364640, 0, -21460464, -80584128, -109302798, -40736376, 0, 66604032, -33134508, 54408960, 109968288, 0, 81258364, -113646144, -216749304, -18196480, 0, -55473984, 271096704, -148062720, -73113084, 0, -252254556, -51003648, 363934812, -7548504, 0, -163563840, -62426892, -102388968, -458758540, 0, 114470496, -227543184, -183001856, 45792864, 0, -17205072, -46776960, 67074816, -231276060, 0, -91827632, 3436032, 42863094, -53901024, 0, -40518144, 112811124, -159919408, 107064558, 0, -168088716, 4566456, 61812762, 120770688, 0, 21181440, 123223864, 50902560, 39037900, 0, 7994700, 7471104, -172252336, -30643488, 0, -6965760, -125253000, -16316640, -281010372, 0, -217232276, -124660944, -8588664, 68750528, 0, -175491936, -257782200, 30346752, -27932364, 0, -419315286, -29818944, -175425162, 52934976, 0, 48820736, -117438480, -32991624, 15116808, 0, -19535634, 95316096, 133471272, -1105920, 0, 125589216, 125358840, -73815936, -207950160, 0, -43608596, 8335360, -28353024, -359043888, 0, 17659296, 22436328, 37294320, -211895082, 0, -125185416, 998784, 22263360, 55388064, 0, -234545184, 162635884, -30258432, 193872426, 0, 76564026, -77351328, -36946060, -57528792, 0, -9953280, 140095260, -199656960, 122501202, 0, -59542516, -350206560, 28553472, -49000832, 0, 10051344, 2562264, -2685696, 81414540, 0, 128006604, 13312512, -215842608, 99167136, 0, 50987008, 17077954, -34840368, 115399900, 0, 59855760, 47618376, 121903560, -68706144, 0, 115542336, -151850268, -24299520, 179393460, 0, 297747208, 22313344, 129087036, 174538176, 0, 8190720, 300996048, -40254432, 19505124, 0, 184101414, -73839096, -39200436, -25869312, 0, 65448088, 143290944, -17752608, -213217408, 0, -90141174, -36645120, -292755438, -68312160, 0, 13250880, -8074404, 304448112, 284136960, 0, 5990844, 52991304, 36593856, -147276096, 0, -31057344, -153603672, -60093184, -121113252, 0, -113680866, 143634816, 27923382, 86308776, 0, -62595584, 296511240, 77664960, 6668948, 0, -83122524, 102694536, 191562840, 7558272, 0, 136216800, 85398660, -133536, 302263530, 0, 55815204, 58494976, 84295728, 278494536, 0, -82717632, -460719120, -70986160, -124628742, 0, 252153564, -23029920, -290167296, 25332384, 0, 78113008, -70220772, 57563136, 105213700, 0, -64551492, -110367360, 425094402, -40813632, 0, 141419520, 252213210, -378223872, -160623330, 0, 414344464, 283304816, -3249684, 47857664, 0, -52855776, 67796544, 283663488, 84891564, 0, 105109068, 29256192, 149258772, -121788984, 0, -98131200, -172360566, -51280776, 246706780, 0, 134515080, -89933088, -54179808, 42097536, 0, 66784560, 152850402, 36978816, 199336128, 0, -69420536, 94761792, 98684892, -329446080, 0, 9455616, 106885704, 416553040, 111507948, 0, 181893744, -26210736, -348147162, -23729664, 0, 153279048, -27423296, 3678624, -453836360, 0, 240189426, -65404416, 356470560, 38407608, 0, -24430560, -96826608, 170195160, 284862300, 0, -39435996, 170033136, 61788744, -178677376, 0, 23105088, 18406080, 8388608, -19220472, 0, -74998116, -1399680, 148197402, 166639680, 0, -11132544, -152498198, 259824240, 509185440, 0, 10549440, 35366016, -183940968, -55683072, 0, 173161488, -226736172, -12540672, 74916330, 0, 71710800, 11785472, 326673936, 244913872, 0, 11710368, -191617872, -233040880, -38295828, 0, 383715504, 126840384, -128600688, -158363136, 0, -163458880, -78384796, -12597120, 37121980, 0, 227545092, 123753792, -215635056, 22304880, 0, -45528576, -62016678, -437750640, -436613970, 0, 104504568, 45759856, -58379454, -75768832, 0, 16848648, -825656856, 123531008, -118650960, 0, 434626764, 6414336, -423631188, 251047872, 0, 89441056, -57656880, -157880088, -551222688, 0, -260757288, 285836616, 127155784, -30754080, 0, -124453512, 177032520, -193597440, 307550580, 0, 398570344, 230236224, 10366380, -55586368, 0, -34801920, -71139996, 353866000, 269287056, 0, -378288006, -32740848, -290060298, -39235584, 0, 213615360, -342094320, 172389600, 204668808, 0, -46378980, -113662080, 223415922, 113819040, 0, -64723872, 171955440, 388957728, -117151452, 0, 37401844, -133888064, 262442196, 276957824, 0, 145720872, 21869988, -47835904, -76055436, 0, 84849624, 85286016, -406801716, 116305176, 0, 24805376, 538621128, -79222536, 174965100, 0, -68979114, 271708776, -10853860, -86835456, 0, -18191592, 9565938, 72864384, 32942400, 0, -445726216, 31348224, -70232184, 50726616, 0, 74032704, 130666260, -260413328, 297290358, 0, 45455808, 52232904, -380740608, -321408000, 0, 149884528, -426006796, 40108032, -367783886, 0, -78337728, -184872960, -70867198, 72853344, 0, -83877504, -132099480, 199715640, -585474252, 0, -188116696, 57240352, 178984080, -80972800, 0, 221441904, 104241828, -112530336, -234583452, 0, -384556416, 60569856, 114410880, -19273464, 0, 43738752, -99414106, 91507752, 60476140, 0, 37027368, 560251200, -342280688, 45945792, 0, -271831152, -312213528, -141951744, -112721988, 0, 239127684, 29731072, -113219604, 649273536, 0, -30680064, -616200132, -42431120, 46801314, 0, -433085280, -210185280, -554018016, 179843328, 0, -218914384, 203448144, 11967264, 499748780, 0, -275023674, -11341824, 690342762, 190187280, 0, -182572800, -30032856, -180469248, -222662568, 0, -347991856, 358138816, -145365624, -221570176, 0, -82777464, 64135314, 62260224, -87048540, 0, -351135000, 214526016, 252971562, -382472448, 0, -44749568, -253302206, 199866672, 145066440, 0, 243381780, -77696784, -277969572, 10616832, 0, 61655568, 80548560, -38151936, -321808530, 0, -77286836, -72420224, -14089626, -227459280, 0, -58905792, 345717888, 274059840, -154225782, 0, 300101448, -70473888, -499600776, -385332096, 0, 145180448, 387470100, -98620416, -114698772, 0, 14915988, -129978816, 311609702, 60025320, 0, -90673152, 215825040, 78644832, 414395070, 0, -774593976, -334286224, -173915208, -182024832, 0, 37665504, 173678664, 203503104, -15943230, 0, 202553244, 81409536, 350863044, 83548512, 0, -83159040, -102593166, -57622104, -259700632, 0, -308824164, -213414024, -395689000, 76201056, 0, -475290312, -95894928, -72032256, 85006392, 0, -532840796, 190336992, 312048396, 485376, 0, 8118144, -80822136, -350738640, 326901636, 0, 478449714, 59717304, 444090642, 90493440, 0, 48256248, -295650944, 14212800, -713670740, 0, -330433974, -54477312, 131255682, -245021760, 0, -222672000, -80605008, -2253840, -497031600, 0, 277036942, 10379376, -44046180, -15268736, 0, 211775904, -790129080, -311985664, -14252184, 0, 2963694, -49657536, 320334960, -253861728, 0, -53011456, 355335134, 94552704, 96375340, 0, -143853570, 203643216, -153532048, -58651776, 0, -535063032, 194643000, -34730016, 255536808, 0, 293143128, -1966080, 110051316, 375629016, 0, 222860160, 633514194, 213506208, -60542316, 0, -809334756, -97795152, 359806260, -50405376, 0, 49072048, -103125036, 31394304, 8882640, 0, 390748320, -376702368, 200081404, 25450560, 0, 1775616, -109901124, 89177400, -406373010, 0, -559301856, -544908144, -118993374, -53792768, 0, 39675096, 385207524, 136113824, 2651238, 0, 331370244, -102273408, -253302528, -183351384, 0, 249058240, 113606454, -464610960, 438955888, 0, -409226184, -194682144, 402899544, 50761728, 0, -70407984, 147510720, 17869056, 966155760, 0, 49609584, 144736960, -106157466, -260241120, 0, 23666688, 238727688, 185366000, 48509442, 0, 917429808, -102481200, 591728682, -61938432, 0, 268703600, -222116080, 106410240, 356923272, 0, 76658724, -122144256, -16878720, 317817000, 0, -269956032, 128049120, 282853560, -506129820, 0, 226941264, -207850944, 67105818, 229488064, 0, 147726144, 320652714, 14561280, -179657676, 0, 400408254, 34675776, 450632880, -79292208, 0, -131269504, 933735320, -38829456, 320808820, 0, -223232382, 532866912, -762285748, -31560192, 0, -248597760, 227614212, -160250976, 1155685350, 0, -207531636, -121443840, -216256824, -649163784, 0, -14354496, -639757626, -389652720, 185260878, 0, 97360404, -98608752, -73917156, 65055744, 0, 307945568, -380452432, -55213056, -1252666252, 0, 355143906, -215312448, 134856464, 78798096, 0, 255350784, -233311500, -86872560, 577423470, 0, 410640300, 200182016, -56636172, 138071040, 0, 10299744, 104749200, -147773376, -537571512, 0, 159336504, 13436928, 845234472, 232919856, 0, 151819840, 548239734, -181314288, 592929192, 0, -91656846, -664697064, -836933040, 149859072, 0, 417460968, 122420160, -147053568, -178109520, 0, 1001264124, -221562208, -255703824, 701424576, 0, -40942080, 939380784, -181548896, -124816464, 0, 1051033674, -333141120, -354555216, 102334464, 0, 147282816, 446236968, -114758208, -164597560, 0, -16984134, -72557568, 496971982, -368018640, 0, 448379040, -230375178, 647845680, 436091040, 0, -606021600, -222903184, -511972164, -5777216, 0, 103033944, 929283594, -93965824, -38711412, 0, -448145772, 150918336, 952733160, 273489576, 0, 52011008, -1098584246, 7731072, -791898540, 0, -121277304, -153717168, 205771032, -91165824, 0, -648690624, -359818668, 239137920, -247462932, 0, -668881596, 74840064, 10274526, 440085792, 0, 271734048, 527579694, -699357072, 47658240, 0, 936584064, 114530760, -392356248, 175439808, 0, 191439360, 207764984, 16809984, 853522660, 0, -68947848, 198236352, -1095665538, -15672960, 0, -46596864, -36712440, -878636160, 90772710, 0, 662320664, -744246304, -280487124, 6539776, 0, 154688688, -768081516, 427003424, -394856856, 0, 914650344, 68280192, -104695368, -761101920, 0, -172136192, 421558560, -67092624, -184696940, 0, 119103696, 169659936, 767189440, 109846656, 0, 24248160, -74231154, 41075712, 357076800, 0, 448028944, -34169728, 214461216, -850886864, 0, -2488320, 219259248, 153960936, 282575736, 0, -106699386, -166085856, 914752584, 461909760, 0, -143522152, -661247272, 18754560, -468015700, 0, -807848748, -98992128, -939800218, 39733416, 0, -403086528, 83912220, 217324272, -278033640, 0, 145629228, -549861984, 2247264, 580753664, 0, 124623144, 114682794, 20818432, -527726664, 0, -801673296, -68081472, 227313840, 315016320, 0, 225494016, -81622746, -174040488, 349036148, 0, -129439782, 227640096, -662458064, -22394880, 0, -74918400, -449228160, 404524608, 1168297110, 0, -10969076, 39653120, -787964760, 12759472, 0, -110251872, 5433534, -481723120, 22615524, 0, 617520504, -6042816, 1158190932, -103785696, 0, 209437696, 872506748, 29953152, 26873066, 0, 223126056, -210935040, 181049040, 114720768, 0, 11403264, -78390828, 153926400, -1476781590, 0, -824511552, 477538976, 107141346, -280675712, 0, -154588824, 255962148, -463568512, 259970256, 0, 710954400, -54673920, 184947192, -23820720, 0, 314724480, -1051925346, 50205024, 212311608, 0, 392710896, 597161160, -105098448, 18429120, 0, 243463608, -90572472, -61870080, 497510376, 0, -292497376, 478732544, -166137966, -239015424, 0, -58205952, -535595316, 722853840, 147258198, 0, -806028786, -39943368, -921558180, 306470400, 0, -665516392, -344360392, -82451520, -882359040, 0, -153702360, 202344960, 380174422, 29814480, 0, 305698560, 685008252, 639837120, 272531400, 0, 162251344, 256604592, 119230434, 466563904, 0, -331371216, -131667726, 259059328, -69879024, 0, -1736308410, -135209664, -45294456, -185039304, 0, 151619584, -303821266, 323178336, 713466732, 0, 194194746, -403895784, 1223673192, -140840064, 0, 106274088, 174746160, -122629536, 263101770, 0, -762611592, -154374144, 231062706, -320161088, 0, 17006112, 692606874, 155219120, 306487800, 0, -860943336, -300456, -359973360, -124857216, 0, -77320320, -371263156, 131613696, -501843060, 0, 626612706, 528516192, 980140900, -186114672, 0, 92858496, -159718860, -182773872, -955372350, 0, -77265596, 882700336, -51817320, 71303168, 0, 56997864, 662931228, -139267072, 175754268, 0, 761952504, 129517056, 20550252, -1061702688, 0, -234843520, 1303546254, -248326560, -377643240, 0, -91830672, -190403184, -186159848, 318193920, 0, -406436112, -851003712, 393674496, -296602140, 0, 132561144, -417037248, 637435836, 327658496, 0, 107679744, -1510575060, -463046400, -118925496, 0, -408626832, 638242848, 483513360, 162680448, 0, -1142110472, 1276321320, 65826432, 325756908, 0, -274025214, 81681408, -898058216, -220795200, 0, -555046272, -115381746, 169053240, -13787520, 0]