# Stored data for newform 38.10.c.a, downloaded from the LMFDB on 24 April 2024.
{"label": "38.10.c.a", "space_label": "38.10.c", "level": 38, "weight": 10, "hecke_orbit": 1, "hecke_orbit_code": 137606725670, "dim": 14, "is_polredabs": true, "trace_hash": 472891206649106352, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [1338841927676617047982130625, -190231190902992675937834125, 19551694147529267382943950, -956952477016983113215905, 34723055897572182405831, -421156221751589041170, 5059196462369139471, -16216679100196737, 249179222409831, -742632812562, 7242607471, -11474337, 108646, -165, 1]]], "qexp_display": "q+(2^{4}-2^{4}\\beta _{2})q^{2}+(24-\\beta _{1}-24\\beta _{2}+\\cdots)q^{3}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 19, "char_orbit_label": "c", "char_is_real": false, "Nk2": 3800, "analytic_conductor": 19.571361774227178, "hecke_ring_index": 18662400, "level_radical": 38, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [38, 3, [21], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2, 19], "conrey_indexes": [7, 11], "field_disc": -18243557603695397792876972300516367352176544226482448884119512132153412372431132012497200, "field_disc_factorization": [[-1, 1], [2, 4], [3, 7], [5, 2], [17, 2], [991, 2], [188157245237929273, 2], [45557182490495487193, 2]], "field_poly": [37683939484136051622500625, -9649457865335314261798875, 2044710563339570147369550, -135327799885026117969495, 8185019559882294055671, 142122715974381300066, 4530154246073222607, 9216645483921129, 198778066371639, 244392759522, 6525212431, 3763497, 93094, -3, 1], "hecke_ring_index_factorization": [[2, 10], [3, 6], [5, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.358", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "693.313", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "75717.906", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "9.2.3.c3", "trace_display": [112, 165, 909, 3692], "traces": [0, 14, 112, 165, -1792, 909, -2640, 3692, -57344, -52286, -14544, 15656, -84480, 6423, 29536, -227715, -458752, 313667, -1673152, 1134224, -465408, -1227046, 125248, 3449345, -675840, -2398648, 205536, -1873854, -472576, -7002615, -7286880, -18666588, 7340032, -13827668, -5018672, 2584932, -13385216, -6866080, 22760176, 4568410, -3723264, 3564107, 19632736, 19837521, -2003968, -77788260, 110379040, 60353825, 10813440, -79579650, -76756736, -161350373, 1644288, 54744235, -14990832, 143199990, -15122432, 330686241, -224083680, 164456585, -58295040, 49328881, -149332704, 138012360, 234881024, 788015550, 221242688, -171522309, -160597504, 630323350, -41358912, -74596055, 214163456, 58695287, -54928640, -1115757144, 73801472, -965186644, 36547280, 121854617, 59572224, -368486747, -57025712, -732607256, 628247552, 634697565, -317400336, -2979036210, -64126976, -1652463181, -622306080, -1141270092, 883032320, -1839612746, 1931322400, 2397253503, 346030080, 248805607, -636637200, 520684712, -614053888, 1960775485, -5163211936, -3011767248, -26308608, 6333064272, 1751815520, -169931168, 239853312, 907696627, -2291199840, 3177059924, -120979456, 11541985340, -947162160, 5721607542, -1792669440, -1431302846, -2631305360, 108982544, 932720640, -9843774842, 1578524192, -1511968157, 2389323264, -9081940818, 4416395520, -2070571081, 1879048192, -2944459451, 6304124400, -744780855, 7079766016, -5419091194, -5488713888, 1998152907, -1284780032, -8839390389, 5042586800, 12444561787, -1323485184, -20113430618, 1193536880, 23983705476, 6853230592, 15256053702, -939124592, 6187958505, 878858240, -9269611655, -8926057152, 45142570796, -4645781504, 6034039964, -7721493152, -21361511052, -584756480, 10784633535, -1949673872, -54718526350, 1906311168, -6211598932, 5895787952, -21670150400, -1824822784, -47150843706, -5860858048, 7595950995, 5025980416, -10709695424, 20310322080, 18199768450, -10156810752, 14880941895, -23832289680, 13103399138, -513015808, 6250142989, -52878821792, -6878760208, 9956897280, 12390192861, -36520642944, 29737833630, -14128517120, -82322270430, 29433803936, 30379579916, 15450579200, 61397892908, 1358308176, 67451955536, 2768240640, -38043081881, -3980889712, 45229221837, 10186195200, -58715399968, 16661910784, 19202852995, 9824862208, -70480589054, 62744815520, -65266219044, -41305695488, 42032602599, -24094137984, 144334662602, -841875456, -30882275404, 202658056704, -38287065127, 14014524160, -40223937307, -1359449344, -25616871153, 7675305984, 96437788920, -14523146032, -26721783793, -73318394880, 131082734454, -50832958784, -169699015473, 1935671296, -70032445916, 92335882720, 34619790136, -99810272256, 236861275964, 45772860336, -141802646498, 28682711040, -51697010733, 22900845536, 12647663670, -84201771520, -41422745203, -1743720704, 249247723800, 29847060480, -81058521265, -78750198736, 93667419936, 12628193536, 282552791265, -48382981024, -211870770819, 76458344448, -199068141160, -72655526544, -138524760141, 35331164160, 173853998126, -66258274592, -490750695042, -30064771072, -98171691561, -94222702432, 551746687376, -100865990400, -449691554286, 11916493680, -100853189265, 56638128128, 216265020486, -213549679808, 912930964090, -43909711104, -148735843685, -31970446512, -98887668557, 20556480512, -861057397000, -282860492448, -327895213444, -80681388800, 230865699896, 398225977184, -10600986560, -10587881472, 78903035207, -160907444944, 760289364629, 38193180160, -880739770041, 767478575232, -38144733994, 54825844736, 205909404724, 122048429616, 229575485067, -30051986944, -445109671328, -99007336080, -156112357815, 28123463680, 462404531296, 148313786480, -833394197823, 142816914432, -526162859304, 361140566368, 409149409190, -93225680896, 1180593476286, 48272319712, -7748239299, 123543890432, 296352686584, 341784176832, -764198374372, -18712207360, -113503814901, -172554136560, 1436918948256, -62389563904, -231453199905, -437748210800, 275201807538, 15250489344, 1292085775856, -198771165824, -723579147133, 188665214464, 567936929748, -173361203200, -64698270801, -14598582272, -88800901552, -1508826998592, -500362194816, 93773728768, 139420347324, 243070431840, 571640746386, -80415686656, -587933997209, 171355126784, -331282336862, 162482576640, -814171305492, -993086669056, 731371234816, -81254486016, -60014670651, -238095070320, 339847463933, 381316634880, -3370093198612, 419308772416, 978588443281, 8208252928, 843705286164, 200004575648, -730043414577, -423030574336, -36639197456, -55030081664, 319317751851, 318620712960, -168525408346, 396486171552, 1764610889797, -292165143552, 587998009887, 237902669040, 1312052769361, -452112547840, -1502058177532, 1317156326880, 208128929332, 941881725952, 1979829379396, -486073278656, -1967543689875, -247209267200, -551506064319, 491183143264, -694564378040, -591963965952, 500621576570, 539615644288, -748470347873, -44291850240, -592270913016, 608689310096, -5105972597804, -127388470784, 2143083140203, -723667549392, 1807096491638, 325958246400, -1769922705375, -469723199744, -1986840853533, 133295286272, 1476164612217, 614491295840, -1712874253804, 314395590656, 2201494001619, -563844712432, 401923246560, 501958524160, 973622097585, -2088519009408, -3175482501940, 660891127808, 1170169581867, 1345043283168, 1295116061010, 385506207744, -1122142283374, -2309354601632, 879843888510, -6735003648, -666601680846, -1280164144256, 420293184312, 1621264453632, -1209245022139, 612593042032, 742692327170, -224232386560, -5081157367072, -1287165993824, 3103935862636, 21751189504, 10580802163224, -819739876896, 537183819319, 61402447872, -3215796888765, 771502311360, 1421429635389, -464740673024, -3667410737269, -855097081376, 5336173048511, -586547159040, 2492850343026, 1048661875632, 2644742790939, -1626654681088, -2909199028074, 2715184247568, 3549009770729, 61941481472, 1459674085644, 1120519134656, -1261902843856, -1477374123520, 1483118133914, 276958321088, -6809800944144, -1354490843136, -4076396466764, 1894890207712, -983547598055, -732365765376, 2771530258827, 2268842343968, -7025200392504, 917846753280, 7610615487624, 827152171728, 6131926333864, 732827057152, 2755913295918, 101181309360, -7484352694997, -673614172160, 1877163501840, -1325527846496, -5774198824624, -55799062528, 7854057496330, 1993981790400, 3412667633907, 238776483840, -1129909793454, -2593872680480, -10924827140672, 1260003179776, 3823932398259, 2997357437952, 220429842004, -202051096576, 1251102967536, -4520844660240, -1389228058803, -387063848192, -7208772366282, -4653001287552, -14745262892736, 611666755584, -2787566733164, 3185090258560, 4438326234973, 1162488424704, -14187317513982, -4432792324512, 6409615079453, -565298626560, 18127226009430, 5563327940032, 8148258068432, -530066196736, -10797414187505, -3926005560336, 2266568910362, -962072674304, -10927770497160, -3141494129952, 9324750974172, -753781619456, 7458523683650, 4413973499008, 1556170842627, -3227711692800, -1100715426052, 7195064868576, -5188830568273, 381327797760, 9859175532908, 1613651028240, -3897229887300, -906210050048, -3684794988578, 1730120163888, -30299254819564, -2029507531264, -14630462773098, 7303447712720, -1119222222540, 702555377664, 5195734134868, 2379773498960, 3405466846464, -1023054288384, 8543784137047, 1582202696912, 33829861098790, 657807376384, 7789526616969, -6888459176000, -8585230696445, -2262883939584, 6243949078250, -10492646830208, -5529445686705, -2581804441600, 12930315865208, 1846925599168, 15202652163918, 3185807817472, -2788149553381, -339231569920, -3083612261310, 169406103552, -4718031418712, 2524897126624, 4245386919672, 2574519119104, -590684049420, -12164629834064, -4192038613362, 305545441280, -25507220958660, -13597317757152, -8242902402752, 6139828601856, 1796836523968, 610315743904, 7195309676510, -877213515776, -7132240132708, 6589100951168, 17380972307751, -1952774873856, 25209682692964, 7346415522144, 5082884325196, -240415895552, -24022282438146, -3560877370624, 7191289530893, -3168234754560, -20584728106626, -4995595450080, 23757418216060, 224987709440, 14776812058163, 3699236250368, 4806452393376, 4746041167360, 5446252294434, 13334307165168, 7211220425845, 4570141261824, -8875413318444, 8418605748864, -8965713510614, -5778249061888, -4156458819117, 3273195273520, -41358860033612, -302290829312, -4215111782688, 9444747810288, -12360754040307, -772357115392, 3130547609323, 123971828784, -12542330478702, 3953404493824, 10129454032479, -4741642985344, 36536235710000, 10937093658624, 5483176889491, -6113586994976, -18365700128176, -149697658880, 12425355636827, -3632122076832, -12453212461124, -5521732369920, 9667702838030, 11495351586048, 8071595780137, -499116511232, 10267444535417, -7406502396960, -20944812816546, 7003971372800, 382511488287, 8806457841216, 1976855397316, -244007829504, -9814026204409, -20673372413696, 217541833889, -1590169326592, -60143685005382, -16917658557392, -5922518343168, 1509321715712, -13531359163888, -9086990875968, 6648631169576, 2773779251200, -15288480006948, -2070344665632, 15950535707301, 233577316352, 61063857187140, -2841628849664, 2454740804771, -12070615988736, -11268815095711, -4002897558528, 21538093180185, 3000759320576, -28241987248272, 4461451114368, 19649967841125, 1944563454720, 20914413343363, 4573125971088, -2878466717810, -2573301972992, -41421566262236, 9406943955344, 6559269286932, 5483364057088, 30648994853916, 5300517389792, 7016756318626, -2599721226240, -7534883996728, -6513370443936, -39539264900304, -20548527428096, 31796711389386, 5850969878528, -11673222511702, 1300071776256, 2046860974929, 960234730416, -29791251952408, -7619042250240, 21577570764440, -5437559422928, 49895230489266, 12202132316160, -3365244116911, -26960745588896, -12491520052797, 3354470179328, 7249298660753, 31314830184992, -25171994874082, 262664093696, 30766325043141, 6749642289312, 22415180618380, 1600036605184, 18185513363677, -23361389266464, -36907023244668, 6768489189376, 13816793606820, -1172454318592, 3823744193568, 880481306624, 7484480779980, -5109084029616, 3571661452109, 2548965703680, -2928155167224, -12531366967568, -7782954264862, 3171889372416, -13104455842482, -28233774236752, 20394196427413, 4674642296832, -92343209386082, 18815936316384, -9753396193857, -3806442704640, 28771404559208, 41985688619552, -21408492903711, -3616900382720, -5442676472196, -12016465420256, 20334584189669, 42149002460160, 4061418428920, 6660125738624, 25558832678643, 7535053807616, 20699721586437, 15838635035168, 23554120451008, -15554344916992, -37617946476416, 31480699038000, 7580996272103, -7910696550400, -46563993219030, 8824097029104, -1256050614096, -7858930292224, 6885730887559, -5556515024320, 37017840593308, -9819150348288, -32309877749180, 4004972612560, -18128754888416, -8633850308608, -10258688771634, 11975525565968, -71216803003854, -1417339207680, 3629230439211, 9476334608256, 25324397443554, 19478057923072, -20367315276867, -40847780782432, 36988355077434, -1019107766272, 41157010547796, 68578660486496, 7373507529635, -23157361580544, 12887403641884, 14456771933104, 22975036202919, 2607665971200, 3841774499181, -56637526572000, 3655660820864, 7515571195904, 27699413695803, -63578907313056, 16131719739860, -2132724580352, 9727038035493, -23618633795472, 20244723446865, 4915930366720, 13580257678576, -20153864369312, 76697531757998, 2515164725248, -32141105679214, -35223904025904, -7360166100280, 9021515398912, -113580508120152, 12861543889920, -7706473259473, -8031336386560, 17338022793828, 31155907122720, -14312627783593, -16708152075264, 85364032571511, -25403860015520, 30199686212106, 21148516089856, 41344923915489, 37445426619744, -31701921567472, 10760346265344, 862198621959, 10360928488080, 23552352135059, 12336198647808, -115921349137136, 17954276533984, -606002761161, -73899347252224, -20994405632972, -14077502216160, -20465066482360, 107760058368, 1617231863883, -5332813446768, -20941559730978, -12576763804672, 80560583463700, 3362345474496, -61411599864681, -25940231258112, -8728439381056, 19347920354224, -87058260124670, 19602977345024, -38508453103434, -11883077234720, -19596162119216, -7175436369920, -74813637984547, -40649258936576, 24728330544434, -10297327950592, 24811784460519, 99325947604352, 29590862228424, 696038064128, -33680046273801, 84646417305792, 2227905991919, -6557919015168, -28528570932530, 17189882218208, 6161077063012, -982439165952, -35720038204647, -102905500440480, 42372650624872, -12344036981760, -15403730600956, -22742874166224, 30689596990329, -3717925384192, -1745255344540, -29307834724064, 94416677509776, -6840776651008, -65456706584951, -85378768776176, -80119675996516, 9384754544640, 60794139111852, 79771210976832, -15835214938377, -16778590010112, 64436297505798, 84631769310048, -36834737831637, -13013237448704, 69953956479020, -23273592224592, 35713864861724, 86885895922176, 77985303421763, 113568312663328, -99020129507322, 495531851776, 32213343695949, 11677392685152, -12924207244188, 35856612308992, -10709435707298, 20190445501696, 47519390213888, -47275971952640, -17222960551722, -23729890142624, 59129800851785, -4431333137408, 68380768634050, -54478407553152, -40229837105748, 3879576207360, 103666825715824, -32611171734112, -29646366748671, -30318243323392, -65479245953718, 15736761568880, 38743248985520, -23435704492032, -158420990511455, -44344484141232, 54105238468698, 72602955006976, 36394092455894, -56201603140032, 107001861177280, 7342774026240, 33419043836487, 243539695603968, 60833702360892, 26468869495296, -39807183902030, 49055410670912, -9003196620228, 5862616457216, 16777451384167, 88189225469376, -6457297902662, -1618900949760, 17352786202187, -239499286239904, -111810878718358, 10777826754560, 56544732431856, -30034616029440, 44447209491821, -10604222771968, -120634275607842, -67786722775232, -39710914872678, -446392500224, -14641409839401, -125664919941280, -43824850404048, -31903708646400, 256478916895164, 109205364285024, -195228645932310, -3820423741440, -48164477533826, -36157113390528, -72445692081800, -20750981443840, 169249757167665, -87398617125376, 9079609790193, 40320101752832, 122251114397941, 122365836744288, -100502311802511, 23978859503616, 56577101685850, 1763438736032, -172186224225716, -6465635090432, 47170717452996, -20017647480576, 782464479452, -144667029127680, -182440437130564, 22227648940848, 99514242870345, 6193021571072, 34082679497370, -57670178930256, -125685383256584, -20209103271168, 77039129863266, -117962103141888, -31881460641943, -9786668089344, -45913278644372, 44601067730624, 184589324165766, 101922888273920, -153906244313243, -71013219759568, 49399834873328, 37199629590528], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], "char_orbit_index": 3, "prim_orbit_index": 3, "minimal_twist": "38.10.c.a", "char_is_minimal": true, "conrey_index": 7, "id": null, "nf_label": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [24, -1, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [130, -1, -130, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, -384, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [261, 7, 0, -7, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [-4096, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -7476, -16, -1, 0, -1, 2, 0, 1, 0, 0, -1, 0], [0, 0, -2080, -16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0], [1082, 76, 0, -76, 1, 11, -1, 0, -2, 0, -1, 0, 0, 0], [-6144, 256, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 913, 10, 3, 0, -5, -29, 0, 5, 0, 5, 3, 0], [4176, 112, -4176, 0, 0, 0, 0, 0, 16, 0, 0, 16, 0, 0], [0, 0, -32624, -273, -1, 0, -2, 53, 0, 2, 0, -22, -1, -9], [-65536, 0, 65536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [45184, -831, -45184, 0, 0, -55, 0, -55, 12, -4, -10, 12, -7, -10], [-119616, 256, 0, -256, -16, -32, -16, 0, 0, 0, 0, 0, 0, 0], [40603, -760, 81624, 1178, 0, 19, 19, -57, 19, 0, -19, 38, 0, -19], [-33280, 256, 0, -256, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0], [-175320, 362, 175320, 0, 0, -412, 0, -412, 54, 7, 0, 54, 20, 0], [17312, 1216, -17312, 0, 0, 176, 0, 176, -32, -16, -16, -32, -16, -16], [0, 0, 493275, 1262, 76, 0, -24, -183, 0, 24, 0, 3, 76, -7], [-98304, 4096, 98304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -343700, -2660, -52, 0, -2, 353, 0, 2, 0, -1, -52, -62], [14608, -160, 0, 160, 48, 464, -80, 0, -80, 0, 0, 0, 0, 0], [-137078, 7423, 0, -7423, -1, 262, -107, 0, 52, 0, 36, 0, 0, 0], [0, 0, -66816, 1792, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0], [0, 0, -1003803, -7164, -165, 0, -110, -707, 0, 110, 0, 429, -165, -44], [-521984, 4368, 0, -4368, -16, -848, -32, 0, 352, 0, 144, 0, 0, 0], [-1336580, 8556, 0, -8556, 65, -1100, -78, 0, 132, 0, 154, 0, 0, 0], [0, 0, 1048576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1976749, 491, 1976749, 0, 0, 3339, 0, 3339, -622, -299, -138, -622, -48, -138], [0, 0, -722944, -13296, -112, 0, 64, -880, 0, -64, 0, 192, -112, -160], [354861, 34561, -354861, 0, 0, -568, 0, -568, 1099, 15, -28, 1099, 250, -28], [-1913856, 4096, 1913856, 0, 0, -512, 0, -512, 0, -256, 0, 0, 256, 0], [-480675, -17933, 0, 17933, 183, -5610, -149, 0, 1381, 0, 84, 0, 0, 0], [1955632, -18848, -649648, 6688, 0, 1216, 0, 304, -304, 304, 0, 304, 0, -304], [321530, 7449, 0, -7449, 158, 3421, -516, 0, -1708, 0, -603, 0, 0, 0], [-532480, 4096, 532480, 0, 0, -4096, 0, -4096, 0, 0, 0, 0, 0, 0], [513421, -7946, -513421, 0, 0, -3128, 0, -3128, 160, 657, -272, 160, 15, -272], [0, 0, 2805120, 5792, 320, 0, -112, -6592, 0, 112, 0, 864, 320, 0], [2838866, -13531, -2838866, 0, 0, 1487, 0, 1487, -1552, 942, -583, -1552, -596, -583], [0, 0, -276992, 19456, -256, 0, 256, 2816, 0, -256, 0, -512, -256, -256], [-5555829, 8007, 0, -8007, -1257, -12036, 762, 0, 2895, 0, 0, 0, 0, 0], [7892400, -20192, 0, 20192, 1216, 2928, -384, 0, -48, 0, 112, 0, 0, 0], [0, 0, 8595314, -61623, 1131, 0, -310, -1027, 0, 310, 0, -64, 1131, 1047], [0, 0, 1572864, 65536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5673684, -35761, 0, 35761, -932, 16876, -175, 0, 1661, 0, -476, 0, 0, 0], [-5499200, 42560, 0, -42560, -832, -5648, -32, 0, 16, 0, 992, 0, 0, 0], [0, 0, -23044307, 4558, -1556, 0, 537, 15349, 0, -537, 0, 35, -1556, 483], [233728, -2560, -233728, 0, 0, 7424, 0, 7424, -1280, -1280, 0, -1280, -768, 0], [0, 0, 7753074, -154369, 2610, 0, 2413, -8183, 0, -2413, 0, -1856, 2610, 1088], [-2193248, 118768, 2193248, 0, 0, 4192, 0, 4192, 832, -1712, 576, 832, 16, 576], [20552305, -233817, -20552305, 0, 0, 17892, 0, 17892, -1019, 1560, 140, -1019, -1118, 140], [-1069056, -28672, 0, 28672, 0, 0, 0, 0, -4096, 0, 0, 0, 0, 0], [34444302, -313937, -21413057, 227639, -627, 11134, 1976, 35017, -855, 798, 0, 1121, -1748, 1482], [-16060848, 114624, 0, -114624, -2640, 11312, -1760, 0, -6864, 0, 704, 0, 0, 0], [23467378, 53675, -23467378, 0, 0, 9972, 0, 9972, -5128, 5207, 2286, -5128, -857, 2286], [-8351744, 69888, 8351744, 0, 0, -13568, 0, -13568, 5632, -512, 2304, 5632, 256, 2304], [0, 0, 7071348, 68047, 2006, 0, 2276, -32613, 0, -2276, 0, -14782, 2006, 968], [-21385280, 136896, 21385280, 0, 0, -17600, 0, -17600, 2112, -1248, 2464, 2112, -1040, 2464], [0, 0, 19821532, 271460, 1196, 0, -740, -39088, 0, 740, 0, -4924, 1196, 5040], [16777216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [56357365, -192398, 0, 192398, 3097, 32011, 8397, 0, -10771, 0, -2022, 0, 0, 0], [0, 0, 31627984, 7856, -768, 0, 4784, 53424, 0, -4784, 0, -9952, -768, -2208], [0, 0, -24580445, -172348, -3422, 0, 273, -17670, 0, -273, 0, -9633, -3422, 422], [-11567104, 212736, 0, -212736, -1792, 14080, 1024, 0, -3072, 0, 2560, 0, 0, 0], [45495766, -1103555, 0, 1103555, 1194, -18795, -484, 0, -14006, 0, -6972, 0, 0, 0], [0, 0, -5677776, 552976, 4000, 0, -240, -9088, 0, 240, 0, 17584, 4000, -448], [-10578540, -221949, 10578540, 0, 0, 46089, 0, 46089, -11522, -344, -943, -11522, 1232, -943], [0, 0, 30621696, 65536, 4096, 0, 4096, -8192, 0, -4096, 0, 0, 4096, 0], [8454772, -135553, -8454772, 0, 0, -46468, 0, -46468, 8289, -3371, -4172, 8289, 9856, -4172], [-7690800, -286928, 7690800, 0, 0, -89760, 0, -89760, 22096, -2384, 1344, 22096, -2928, 1344], [-79885426, 547864, 0, -547864, -7715, -149629, 3707, 0, 17426, 0, 2751, 0, 0, 0], [20895744, -107008, -31290112, -194560, 0, 14592, -4864, 19456, -9728, 4864, 4864, -4864, 0, 0], [-69234740, 699230, 0, -699230, -5294, -24416, -5421, 0, 874, 0, 3920, 0, 0, 0], [5144480, 119184, -5144480, 0, 0, 54736, 0, 54736, -27328, -8256, -9648, -27328, -2528, -9648], [17475288, -187385, -17475288, 0, 0, 110931, 0, 110931, 58606, 4180, -237, 58606, -7684, -237], [0, 0, 8519680, 65536, 0, 0, 0, -65536, 0, 0, 0, 0, 0, 0], [-52863585, 546286, 52863585, 0, 0, -48578, 0, -48578, -10710, 7049, -7992, -10710, -10379, -7992], [0, 0, -8214736, -127136, 240, 0, -10512, -50048, 0, 10512, 0, 2560, 240, -4352], [-52777144, 1036356, 0, -1036356, 9144, 71445, -18570, 0, 47434, 0, 1211, 0, 0, 0], [44881920, -92672, 0, 92672, 5120, 105472, -1792, 0, -13824, 0, 0, 0, 0, 0], [0, 0, 90138963, -1378662, 3435, 0, -9825, 183963, 0, 9825, 0, -12147, 3435, -6036], [0, 0, -45421856, -216496, -9536, 0, -15072, 23792, 0, 15072, 0, -24832, -9536, -9328], [-214119311, 2980818, 0, -2980818, -3556, 151111, -17270, 0, -28985, 0, -3657, 0, 0, 0], [-4431872, -311296, 0, 311296, -4096, -45056, 4096, 0, 8192, 0, 4096, 0, 0, 0], [0, 0, -234909380, 2682647, -3531, 0, -21130, 89927, 0, 21130, 0, 69848, -3531, -8242], [-88893264, 128112, 88893264, 0, 0, -192576, 0, -192576, 46320, 12192, 0, 46320, 20112, 0], [0, 0, -163911552, -2147360, -3398, 0, -8504, 172948, 0, 8504, 0, 11120, -3398, -7224], [126278400, -323072, -126278400, 0, 0, 46848, 0, 46848, -768, -6144, 1792, -768, -19456, 1792], [-262946619, 657849, 262946619, 0, 0, -477968, 0, -477968, 27717, 1013, -4272, 27717, 21433, -4272], [137525024, 985968, 0, -985968, 18096, 16432, -4960, 0, 1024, 0, -16752, 0, 0, 0], [224752216, -1261353, -107291974, -1715244, 17043, 157073, 2812, 203053, -45410, -26904, -9101, 21736, 190, -5643], [25165824, -1048576, 0, 1048576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [35089256, 1240489, -35089256, 0, 0, -225124, 0, -225124, 27797, -9256, 4852, 27797, -12553, 4852], [-90778944, -572176, 90778944, 0, 0, 270016, 0, 270016, 26576, -2800, -7616, 26576, 14912, -7616], [0, 0, 75721781, 2679539, -3922, 0, 29289, 540422, 0, -29289, 0, -111383, -3922, -16686], [-87987200, 680960, 87987200, 0, 0, -90368, 0, -90368, 256, -512, 15872, 256, 13312, 15872]]}