# Stored data for newform 70.10.a.h, downloaded from the LMFDB on 13 September 2025.
{"Nk2": 7000, "analytic_conductor": 36.05250853147112, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -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": [70, 1, [57, 31], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 2997373, "field_disc_factorization": [[2997373, 1]], "field_poly": [-2632, -373, -1, 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": [[3, [-2570400, -52911, 66, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197559365702, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 1080, "hecke_ring_index_factorization": [[2, 3], [3, 3], [5, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "70.10.a.h", "level": 70, "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": [2, 5, 7], "level_radical": 70, "minimal_twist": "70.10.a.h", "nf_label": "3.3.2997373.1", "prim_orbit_index": 1, "qexp_display": "q+2^{4}q^{2}+(-22-\\beta _{2})q^{3}+2^{8}q^{4}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "70.10.a", "trace_display": [48, -66, -1875, -7203], "trace_hash": 1244666624511831742, "trace_moments": [{"__RealLiteral__": 0, "data": "0.061", "prec": 17}, {"__RealLiteral__": 0, "data": "2.898", "prec": 17}, {"__RealLiteral__": 0, "data": "0.687", "prec": 17}, {"__RealLiteral__": 0, "data": "21.647", "prec": 20}, {"__RealLiteral__": 0, "data": "9.015", "prec": 17}, {"__RealLiteral__": 0, "data": "233.332", "prec": 24}], "trace_zratio": 0, "traces": [0, 3, 48, -66, 768, -1875, -1056, -7203, 12288, 51129, -30000, -69126, -16896, -9108, -115248, 41250, 196608, 547080, 818064, 1725444, -480000, 158466, -1106016, 2484900, -270336, 1171875, -145728, -454518, -1843968, 6733764, 660000, 785400, 3145728, 10002570, 8753280, 4501875, 13089024, -2520174, 27607104, 84343086, -7680000, -27087006, 2535456, 8479488, -17696256, -31955625, 39758400, 28175262, -4325376, 17294403, 18750000, 135821946, -2331648, 15980646, -7272288, 43203750, -29503488, 73164348, 107740224, -140258040, 10560000, -7735398, 12566400, -122760729, 50331648, 5692500, 160041120, -89929044, 140052480, 194845500, 72030000, 222733824, 209424384, 69633078, -40322784, -25781250, 441713664, 165971526, 1349489376, 577354818, -122880000, 517818987, -433392096, 1128158160, 40567296, -341925000, 135671808, -2285264574, -283140096, -156069222, -511290000, 21868308, 636134400, -1266539856, 450804192, -1078402500, -69206016, -842532528, 276710448, -4989354552, 300000000, -768938706, 2173151136, -3280610706, -37306368, -99041250, 255690336, -584199792, -116356608, -4100443200, 691260000, -3765781788, -472055808, -1326406170, 1170629568, -1553062500, 1723843584, -3428629074, -2244128640, -1313539080, 168960000, 2994409473, -123766368, 2115105024, 201062400, -732421875, -1964171664, -229540056, 805306368, -12101128572, 91080000, 1807568340, 2560657920, -4142791044, -1438864704, 284073750, 2240839680, 14567831658, 3117528000, -12516122796, 1152480000, -2368763862, 3563741184, 12561888366, 3350790144, -4208602500, 1114129248, -380476866, -645164544, -7870513590, -412500000, 19066909074, 7067418624, 665768142, 2655544416, -490875000, 21591830016, 5677634118, 9237677088, 12756974136, -1966080000, -5966244900, 8285103792, 9717046728, -6934273536, -6251606250, 18050530560, 10457339454, 649076736, 37619329119, -5470800000, 47853747864, 2170748928, -5082188448, -36564233184, -2813671875, -4530241536, -4143231984, -2497107552, 17047167804, -8180640000, 16496397066, 349892928, -20267946408, 10178150400, 1575108750, -20264637696, 15135032778, 7212867072, 1091297718, -17254440000, -22417580898, -1107296256, 29000067234, -13480520448, -52714428750, 4427367168, -27252662970, -79829672832, 23706414384, 4800000000, 42492629736, -12303019296, -16167767364, 34770418176, 16929378750, -52489771296, 82291318200, -596901888, -70736500980, -1584660000, 20386552926, 4091045376, -155059319760, -9347196672, -5299680000, -1861705728, -1885745400, -65607091200, 8159008332, 11060160000, 124770389130, -60252508608, -40419329010, -7552892928, 19972265625, -21222498720, 16435803822, 18730073088, 57030190338, -24849000000, -24016170570, 27581497344, -120721029174, -54858065184, -17609538750, -35906058240, -150363001578, -21016625280, 145175568114, 2703360000, 128642054430, 47910551568, -101540874240, -1980261888, -10809001875, 33841680384, 51391491876, 3216998400, 114308586264, -11718750000, 88325264124, -31426746624, -123743920500, -3672640896, -84888716250, 12884901888, -22442859498, -193618057152, 6050937774, 1457280000, 138408998130, 28921093440, -171360688692, 40970526720, -9987903750, -66284656704, 211723490256, -23021835264, -179908831890, 4545180000, -89348847912, 35853434880, -202507749486, 233085306528, -27002343750, 49880448000, -61156272438, -200257964736, 57256517448, 18439680000, 359677091904, -37900221792, 106538986266, 57019858944, -45727717500, 200990213856, 65035901406, 53612642304, -21311582205, -67337640000, 169653627570, 17826067968, -181924316808, -6087629856, 87661275000, -10322632704, 376900806510, -125928217440, 121885568100, -6600000000, -20359250688, 305070545184, -596512854900, 113078697984, 4834623750, 10652290272, -7170462942, 42488710656, 183713541666, -7854000000, 547047071388, 345469280256, -537253128732, 90842145888, 76725455625, 147802833408, 174186269490, 204111586176, -345319224606, -31457280000, -389214824868, -95459918400, 383538637836, 132561660672, -3557812500, 155472747648, -400803390522, -110948376576, -67648804062, -100025700000, 301273085820, 288808488960, -791266292154, 167317431264, 56205652500, 10385227776, 232362986718, 601909265904, 1097466403836, -87532800000, -191664995088, 765659965824, -41523861603, 34731982848, -121778437500, -81315015168, 236335481472, -585027730944, -237011814186, -45018750000, 1357137417978, -72483864576, 211545364248, -66291711744, -139208640000, -39953720832, -326108492346, 272754684864, -348673137240, -130890240000, 339073050831, 263942353056, -1317067248444, 5598286848, -43520673750, -324287142528, 33598784550, 162850406400, -2059048927494, 25201740000, -38369531046, -324234203136, -814327122594, 242160524448, 16113281250, 115405873152, -1691719486614, 17460763488, 509224890636, -276071040000, 50025915024, -358681294368, 869639371632, -17716740096, -103732203750, 464001075744, -1618211846628, -215688327168, 879525053520, -843430860000, 614192359500, 70837874688, 1041762880092, -436042607520, -360846761250, -1277274765312, -1241494859040, 379302630144, -175667599548, 76800000000, -646236720060, 679882075776, -1025562944160, -196848308736, -323636866875, -258684277824, 1360061581740, 556326690816, -1615503673602, 270870060000, -994041272592, -839836340736, 336759554040, 1316661091200, -705098850000, -9550430208, -420454659684, -1131784015680, 681015302496, -25354560000, -267646340640, 326184846816, 3682314265500, 65456726016, 213703125000, -2480949116160, 18572690598, -149555146752, -5340218398470, -84794880000, 1112107530078, -29787291648, -1403655006810, -30171926400, 1428290358750, -1049713459200, 2120326626600, 130544133312, -2955669996012, 176962560000, 294748510329, 1996326226080, 1678793268504, -964040137728, 97543263750, -646709264160, 1096296079068, -120846286848, 2394347940576, 319556250000, 4042092873768, -339559979520, 2194553326422, 262972861152, -13667692500, 299681169408, -327559681950, 912483045408, 2491282400958, -397584000000, 1600194470394, -384258729120, 2419256208840, 441303957504, 791587410000, -1931536466784, 1218932292282, -877729042944, 215919634644, -281752620000, 2922155736036, -574496931840, 2679303332676, -2405808025248, 674001562500, -336266004480, 474396668694, 2322809089824, 1946366265852, 43253760000, -1764332553096, 2058272870880, -467824045500, 766568825088, 526582830000, -1624653987840, -921350229996, -31684190208, 1874001752724, -172944030000, 947672336718, 541466886144, -1726945713306, 822263870016, 3118346595000, 51471974400, -534783911424, 1828937380224, -3642947550, -187500000000, 685927911618, 1413204225984, 1093132995066, -502827945984, 480586691250, -1979902728000, -3327185826888, -58762254336, 2308861614702, -1358219460000, -167189020278, 206158430208, 26258651604, -359085751968, 2050381691250, -3097888914432, -7415206046958, 96815004384, -1006548383382, 23316480000, 659799687174, 2214543970080, 924396698712, 462737495040, 61900781250, -2741771019072, -1713520499136, 655528427520, -1827144477789, -159806460000, -5045128314408, -1060554507264, 3701963466036, 3387575844096, 365124870000, -368349364224, -5224896748008, -2878541310240, -398497633926, 72722880000, -5169597564852, -1429581566592, 1276998675720, 573654958080, 2562777000000, -3240123991776, -5016748236444, 3729364904448, -4542621900102, -432037500000, 1807594777116, 798087168000, -1386228918018, -978500359008, 2353613617500, -3204127435776, 2403182455590, 916104279168, -6428508437628, 295034880000, -8096679611970, 5754833470464, 5950486599864, -606403548672, 829003856250, 1704623780256, -1243283387787, 912317743104, 1165574913246, -731643480000, 968355983052, 3215843421696, -4116896953254, 1040574422496, 970664062500, 857802276864, -7401143935284, -340985315280, 2099105727744, -1077402240000, -2708707742160, 2714458041120, 77319683472, 285217087488, 2142893171250, -2910789068928, -909122811528, -97402077696, -438896215296, 1402580400000, 4153885253832, -165162123264, 3493845655596, 6030412904160, 820961925000, -2014851479040, -17557900699200, 1950169089600, 5282149000302, -105600000000, -4629695482746, -325748011008, -3579492256236, 4881128722944, -1871505920625, -9544205678400, 960203210034, 1809259167744, 5486920242174, 77353980000, -6349798290762, 170436644352, -6074919998118, -114727407072, -1321940640000, 679819370496, -5558550645954, 2939416666656, -8975571006180, -125664000000, 367063334100, 8752753142208, 374722202022, 5527508484096, 457763671875, -8596050059712, 3364512478740, 1453474334208, -2337404502336, 1227607290000, -4426623078258, 2364845334528, 3098067918054, 2786980311840, 143462535000, 3265785378816, -52505807508, -5525107593696, -2274733976112, -503316480000, 11017352558886, -6227437197888, -3069698025570, -1527358694400, 7563205357500, 6136618205376, 1468329412080, 2120986570752, 8268347353008, -56925000000, 3040962194256, 2487563962368, 5073432056538, -6412854248352, -1129730212500, -1775174025216, 2547248559570, -1082380864992, 2364263721930, -1600411200000, 9009135637482, 4820369373120, 6236106703434, 4620935823360, 2589244402500, -12660260674464, 930989972700, 2677078900224, -10815134762622, 899290440000, 7990189150944, 166163644416, -7745313364926, 3717807787488, -177546093750, 9630548254464, 10412182443492, 17559462461376, 2022920599728, -1400524800000, -9339904524102, -3066639921408, -124099847580, 12250559453184, -9104894786250, -664381785648, -31603106140176, 555711725568, 9668693754324, -1948455000000, 15472049001096, -1301040242688, 11979440279352, 3781367703552, 7822576747500, -9360443695104, 3969663020292, -3792189026976, -8528194712016, -720300000000, -6143871065892, 21714198687648, -13473948872808, -1159741833216, 1480477413750, 3384725827968, 1846221833106, -1060667387904, -4193956045284, -2227338240000, 20637381625380, -639259533312, -1379127398400, -5217735877536, -7851180228750, 4364074957824, 4058944993086, -5578770195840, 3069633705228, -2094243840000, 7876746305106, 5425168813296, 1971629416140, 4223077648896, 2630376562500, -21073075975104, 13827450962592, 89572589568, -23830360438401, -696330780000, -6766355834436, -5188594280448, 24212285625036, 537580552800, 237798041250, 2605606502400, 8997193322712, -32944782839904, -9713738045454, 403227840000, 63260652796092, -613912496736, -11185508194200, -5187747250176, 4919070993750, -13029233961504, 29982584177208, 3874568391168, 1402663700592, 257812500000, -8694718451526, 1846493970432, -14490266430492, -27067511785824, -11916818171250, 279372215808, 3217121721318, 8147598250176, 2621876404500, -4417136640000, 12954993594822, 800414640384, 9845164123200, -5738900709888, -416105088750, 13914229946112, -1020121812000, -283467841536, 16143248623638, -1659715260000, -10272270442092, 7424017211904, -3520797230916, -25891389546048, 306796875000, -3451013234688, 9041642072988, 14072400856320, -30767945632416, -13494893760000, -2434181707344, 9827077752000, -31528120215402, 1133405995008, -3548521323750, 16668206081472, 31107227507886, -6976681720320, 17993474854140, -5773548180000, 3184701214170, -20436396244992, -8825854140612, -19863917744640, -7973108835000, 6068842082304, 15959152204848, -2810681592768, -10990513333518, 1228800000000, 24786609381378, -10339787520960, -3790520858172, 10878113212416, 3728903062500, -16409007106560, -18164158499988, -3149572939776, -23796700699284, -5178189870000, 12184096695252, -4138948445184, -17753079557304, 21760985307840, -6073154205000, 8901227053056, -26602968106152, -25848058777632, 8232138406674, 4333920960000, 18896058343368, -15904660361472, -43653043296888, -13437381451776, 3907253906250, 5388152864640, -50453796567504, 21066577459200, 2811152618466, -11281581600000, -11369820512700, -152806883328, 3153807331080, -6727274554944, -6535837158750, -18108544250880, -19935716202288, 10896244839936, 19442235042348, -405672960000, 13670746384431, -4282341450240, 1460409345786, 5218957549056, -23512080699375, 58917028248000, -7189577144673, 1047307616256, 20754539695398, 3419250000000, -28457693548200, -39695185858560, -33202552223874, 297163049568, -29908592415000, -2392882348032, -10433899703538, -85443494375520, 10658327706360, -1356718080000, -5078367162624, 17793720481248, -8762141975784, -476596666368, 3176367780000, -22458480108960, 39572408428176, -482750822400, -44814674277042, 22852645740000, 34415352144864, -16795415347200, -455307285186, 33925226025600, 1758544921875, 2088706132992, -13450063749942, -47290719936192, 12038116927794, 2831400960000, -1158130817886, 4715976165264, 26414342137188, 31941219617280, 2589519990000, 26860692296064, 42578008205856, -15424642203648, 551125674456, 1560692220000, -12957848923014, -10347348226560, 48056331096108, 17540737265088, -10654479877500, -1933540589568, 101700841261500, 38309567049216, 26546751069696, 5112900000000, 19543822875348, 64673485980288, 29054809701372, -5432959672320, -10310248166250, 35112853222752, -4944591217920, 4207565778432, 62034526873098, -218683080000, -35933283381744, 4794898710528, -39150674574888, -5240954911200, 12667466505000, 14599728726528, -4339971584340, 39860518415328, -14041360882254, -6361344000000, 78772828743222, 25603111526304, -106208317650384, -6148139665920, -984442968750, 38708099341440, -25555475151180, 7060863320064, 70184421733890, 12665398560000, 9946841296644, -30904583468544, -2143047129876, 19502916676512, -9459395486250, -14043664687104, -3673310798784, 3454714154304, -27088022603130, -4508041920000, -46607282007366, 46754491776576, -55243653084000, -9191950909440, -682061073750, 42868853322816, -51627825922764, -38492928403968, 5109095419272, 10784025000000, 62837488926276, -5380256071680, 40736850654114, 7590346699104, 14010988061250, 37164945437184, 145233302595030, 31141860253632, -34977363810858, 692060160000, -64017859802877, -28229320849536, -35773676553420, 32932365934080, -18125042021250, -7485184728000, 3284094550332, 12265101201408, 123769834657812, 8425325280000, -52920495666576, -25994463805440, 30051210833196, -14741603679936, 32946517968750, -506947043328, 115592132024982, 29984028043584, -39660978414120, -2767104480000, -97262117295174, 15162757387488, -19205365576494, 8663470178304, 17032914356250, -27631131412896, 5687402032662, 13156221920256, -62164674959400, 49893545520000, 30719882431848, 823551590400, -88446175577688, -8556542582784, -14816508990000, 29262998083584, 2396693101272, -58287160800, -1987891686324, -3000000000000, -30161093966766, 10974846585888, -23792373341184, 22611267615744, -26557893585000, 17490127921056, 25516969607376, -8045247135744, 44952086322156, 7689387060000, -12485366957676, -31678443648000, -3204155920362, -53234973230208, 10104854602500, -940196069376, -96309114657678, 36941785835232, 48330613084380, -21731511360000, -110193655747602, -2675024324448, 80493305995920, 3298534883328, -10580861718750, 420138425664, -123675238404918, -5745372031488, 913524955266, 32806107060000, -68483679843402, -49566222630912, -62007508098, -118643296751328, -51432073875000, 1549040070144, -9695208836964, -16104774134112, -21317650266468, 373063680000, -145713087455484, 10556794994784, 18897103129590, 35432703521280, 44210313112500, 14790347179392, -11491779323532, 7403799920640, 33724411449762, 990412500000, -74523863965542, -43868336305152, -73295420613732, -27416327986176, -12741595578750, 10488454840320, -45779648686674, -29234311644624, -31960827149022, -2556903360000, -47277919190160, -80722053030528, -34749561339408, -16968872116224, 96912074850000, 59231415456576, 509931013218, 54201213505536, -85597202430150, 5841997920000, -1598509308942, -5893589827584, 64653116398344, -83598347968128, 3312300000000, -46056660963840, -87781440228576, -6375962142816, 86461136525880, 1163566080000, 92249170541100, -82713561037632, 156039562815870, -22873305065472, 1178590875000, 20431978811520, -53875496707176, 9178479329280, 134921420598393, 41004432000000, -46773957707784, -51841983868416, 56055488148906, -80267971783104, -5099380207500, 59669838471168, 146327373302622, -72681950401632, -13631999517318, -6912600000000, -80507545749462, 28921516433856, 7325659272888, 12769394688000, -77981493206250, -22179662688288, 130110020122752, -15656005744128, -50451251545890, 37657817880000, -178827525565884, -51266038972416, -30629494900536, 38450919289440, 25262080631250, 14657668466688, -139132204916010, -102856135002048, -174534388432656, 4720558080000, -116474604397344, -129546873791520, 161096706571830, 92077335527424, -12482666015625, 95207785597824, 14324954004900, -9702456778752, 77471006039148, 13264061700000, 233540052090354, 27273980484096, 19906457815434, -19892534204592, -10272377388750, 14597083889664, 217423886883336, 18649198611936, 46504104774768, -11706295680000, -23330629193928, 15493695728832, 222371901995256, 51453494747136, -35643868961250, -65870351252064, 27660029974896, 16649190759936, 35897819351976, 15530625000000, -65953050739488, 13724836429824, 162956832188670, -118418302964544, 15010106606250, -5455765044480, 117590270994612, 33585691643904, -73066402790928, -17238435840000, -46327644987156, -43339323874560, 239782071140040, 43431328657920, 75450643233750, 1237114935552, 33675252473982, 4563473399808, -25108072029054, 34286290740000, -128090399625258, -46572625102848, 212611741377300, -14545964984448, 11005961718750, -1558433243136, 40544949410748, -7022339444736, -16407296728056, 22441286400000, -221146903366734, 66462164061312, -90324009214719, -2642593972224, 93976875986250, 55901530489536, 138090402446652, 96486606466560, -100558756372500, 13135390800000, 139393146626250, -32237623664640, -35142997241484, -280926411187200, -90734730071250, 31202705433600, -114896848621464, 84514384004832, 118938092883894, -1689600000000, 154852660798752, -74075127723936, 182386363112718, -5211968176128, -80401284018750, -57271876099776, -133693678850352, 78098059567104, 73971174604176, -29944094730000, 12202334463648, -152707290854400, 15972156974334, 15363251360544, 63463046400000, 28948146683904, 8697824033904, 87790723874784, 49667019008400, 1237663680000, 50582520258060, -101596772652192, 94178755798134, 2726986309632, 6755626171875, -97198719969888, -106701216471324, -1835638513152, -64536636931350, -21151050240000, 81112833485124, 10877109927936, 374524849982322, -88936810335264, -32119682422500, 47030666666496, -211227393839346, -143609136098880, 9947899993584, -2010624000000, 19775106756768, 5873013345600, 254145715414548, 140044050275328, -71442866415000, 5995555232352, 241813863500220, 88440135745536, 6638904705150, 7324218750000, -426435655028760, -137536800955392, -40930249897404, 53832199659840, -55203290077500, 23255589347328, -262957019314536, -37398472037376, -18858356470908, 19641716640000, 96772401262098, -70825969252128, 142642934413590, 37837525352448, 77339950312500, 49569086688864, -39607849355466, 44591684989440, -239297817597426, 2295400560000, -56685869812752, 52252566061056, -29416096860624, -840092920128, 53055447656250, -88401721499136, 98959315088256, -36395743617792, 38891448794436, -8053063680000, 48663339325608, 176277640942176, 46697481553644, -99638995166208, 14026787186250, -49115168409120, 451520490610332, -24437739110400, 161666518444614, 121011285720000, 119960661447096, 98185891286016, -484723701632574, 23493270593280, -3781836108750, 33935785132032, -223248860494254, 132293557648128, -309534091957284, -910800000000, -121205313216450, 48655395108096, 142679630816688, 39801023397888, -86505623831250, 81174912904608, 269596045459878, -102605667973632, -36339213699978, -18075683400000, 268087911024600, -28402784403456, -582538381031304, 40755976953120, 107100430432500, -17318093839872, -42512801110428, 37828219550880, -177655398131052, -25606579200000, -497364736580382, 144146170199712, -2620205820918, 77125909969920, 6242439843750, 99777707254944, -27294891967068, 73934973173760, 271086992845908, 41427910440000, -162808546727574, -202564170791424, 102063107891616, 14895839563200, -132327181410000, 42833262403584, 53824611736098, -173042156201952, 48586618201806, 14388647040000, -87838077684474, 127843026415104, -125003680251762, 2658618310656, 112443019931250, -123925013838816, -32082415795998, 59484924599808, -98494224248160, -2840737500000, -69629161428834, 154088772071424, -498576267142080, 166594919095872, 55843029945000, 280951399382016, -194370221728800, 32366729595648, 1657929428532, -22408396800000, 219651525948906, -149438472385632, 117507123041274, -49066238742528, 126567343428750, -1985597561280, 302541258224892, 196008951250944, 74193173829117, -145678316580000, -52979507409720, -10630108570368, -264664623846870, -505649698242816, 16876464843750, 8891387609088, -26426058208200, 154699100069184, 65433643790970, -31175280000000, -22240779270078, 247552784017536, -614862218454672, -20816643883008, 38222670273750, 191671044469632, 64882102019112, 60501883256832, -485409895972728, 125161227960000, -266089086034308, -149767099121664, -56919100935984, 63514608324672, -35785323405000, -60675024431616, -461716884074832, -136451115392256, 95433228543300, -11524800000000, -505989140986626, -98301937054272, -156780090018000, 347427179002368, -224798182440000, -215583181964928, -102024803996136, -18555869331456, -135973195223364, 23687638620000, 345136002128904, 54155613247488, -454741461865782, 29539549329696, -66586866416250, -16970678206464, -321055701346170, -67103296724544, 328047274093740, -35637411840000, 38818809440964, 330198106006080, 125754924274884, -10228152532992, 28579823437500, -22066038374400, 203860032489870, -83483774040576, 285627147503514, -125618883660000, 161799581372328, 69825199325184, 447860355528144, 64943119889376, -40647438378750, -89260323133440, 44004025027836, 49114139283648, -20854378109298, -33507901440000, 127790139360876, 126027940881696, -676858252413852, 86802701012736, 13319738878125, 31546070658240, 62847814115910, 67569242382336, -197581454998200, 42086025000000, 583337453042364, -337169215601664, -265100215585650, 221239215401472, -106033517231250, 1433161433088, 92048032419888, -381285767014416, -174488479620660, -11141292480000, -54205853934516, -108261693350976, 169838338852980, -83017508487168, 113702698005000, 387396570000576, -222735365745516, 8601288844800, 934654851152280, 3804768660000, -231323096689944, 41689704038400, -580909273150338, 143955093163392, -54788296875000, -527116525438464, -48948113575326, -155419808727264, 39660920616294, 6451645440000, 205871745728844, 1012170444737472, -113886091916394, -9822599947776, -235563004068750, -178968131107200, 124521472607598, -83003956002816, 125590209366594, 78705135900000, 372297426743760, -208467743384064, 63748913637966, 479721346835328, -76178480062500, 61993094258688, 386321153060754, 22442619209472, -213528787849938, 4125000000000, 296766679764852, -139115495224416, 447882104354724, 29543903526912, 12724531680000, -231844262887872, -642327976098504, -433080188573184, -20233069768530, -190669090740000, 337077373769580, 4469955452928, 131375258549412, 51473947541088, 372820534312500, 130361572002816, 645014152649676, 41950022472000, 4527674705400, -70674186240000, 1850830112106027, 207279897517152, -141621734129748, 12806634246144, -3021639843750, 157522625971200, -415150554468036, -91822411358208, 685113937768524, -6657681420000, 365069922351432, 222627679137792, -19589779005132, -16321948992000, 4481539338750, -4535485464576, -220060896956820, 258291977978208, 162524003505156, -26555444160000, -22922514853200, -164356327073472, -86475590167122, 118784275390464, -114820963541250, -56332755694656, -299573704301130, -414262232736768, 184555116399738, 4908750000000, 840767490405390, -55216211755008, 561886703630172, 144666273167808, -341904419617500, 225158413701120, -815621127999210, -492287130118656, 40554379616076, -215918300160000, 97046808953010, -38946907317504, 653142311739804, 157233244032000, 335783205457500, -504449923446432, 193570010300544, 18134495920128, 229252133219352, -56776341180000, 177596661211452, 266691297303552, -1095309560712258, 497715640126176, -47953409765625, -111626907525120, 912878812183824, 287895597666240, 208959780310350, -92376770880000, -70808817990864, 50955219426720, 54206278645884, -326982339919872, -108866418431250, -141213666249792, 629234345938758, -317822683914240, -39462364976622, -127569741360000, 1190626189035072, 97101473316864, 98545259598768, 255346435277568, 215824515378750, -44970905484288, 263045507681010, -175848213336288, -2162618970374304, 19660800000000, -422316604288890, 396585750102048, -136929487001538, -165436600335360, 243259265542500, -60648333730752, -429843103892352, 174049811398656, -38613149504406, 59662449000000, -200273108139468, -262544113704960, -513655677562626, -290626535999808, -239711648647500, -50393167036416, 57662825538570, -380747211188544, -65381622808686, -82851037920000, -456220408559430, 194945547124032, 172129244037282, -66223175122944, 2223632812500, -284049272916864, -163580848453248, 348175764925440, 570834155359962, -97170467280000, 289851191046774, 142419632848896, -318640016066400, -425647489698432, 250502119076250, -413568940442112, 279115500229164, 131714214506784, 146120290656804, 69342735360000, 296679157685928, 302336933493888, -140812392587088, -254474565783552, 42280502538750, -698448692750208, 15449529654216, -214998103228416, -11795863733106, 62516062500000, -313025609261664, 86210445834240, -1471213023495228, -807260745080064, -188295678637500, 337065239347200, 967425422155020, 44978441895456, 361021566788778, -180505305600000, 404653941238542, -181917128203200, 618629746782852, -2444910133248, 494541432596250, 50460917297280, 18733088211672, -107636392879104, -285142592005134, -104573394540000, -451329545978544, -289736708014080, -348566539041714, -318971459236608, -35128532812500, 174339917438976, -1156752682926588, 311075760677568, 112278990090600, -6490767360000, 676869405170793, 218731942150896, -62475410051964, -68517463203840, -145226866698750, 23366549532576, -308869572686430, 83503320784896, 290131398286680, -376193291190000, 425058988159296, 942672451968000, -394229183323908, -115033234314768, -685916502397500, 16756921860096, -744676786186938, 332072635126368, -120317080475172, 54708000000000, 243799639050240, -455323096771200, 894518637793380, -635122973736960, 119790621930000, -531240835581984, -325983019875876, 4754608793088, -598891799881440, -478537478640000, -189531210316896, -38286117568512, -121919097132792, -166942395256608, 25952413501875, -1367095910008320, -1282830111775152, 170533243301760, -1430735391405684, -21707489280000, -760250958844386, -81253874601984, -586992349003020, 284699527699968, 76111523437500, -140194271612544, 1215716409028380, -7625546661888, -123390971994276, 50821884480000, 362057766187902, -359335681743360, 167891479619346, 633158534850816, -147709675920000, -7724013158400, 999514546170426, -717034788432672, -1319788825894428, 365642331840000, -371093147757918, 550645634317824, -274454915619864, -268726645555200, 148132383866250, -7284916562976, -989818993896660, 542803616409600, -629345540700120, 28136718750000, -580110318520806, 33419298127872, 819619984513536, -215201019999072, -848210886236250, -756651518979072, -212068959161724, 192609870844704, -74038342695768, 45302415360000, 1875583244004528, -18530093086176, 1363299256825512, 75455618644224, -132215852655000, 422629474195008, -925202373527232, 511059513876480, 356150635078500, 41432319840000, 297109153120500, 429771076737024, -816378238205946, 681248131293696, 87005400000000, -246794275258368, -1132438871695530, 8818010791296, -1877715857886066, 24971075520000, -753716434465548, -207325582768224, 384010161486558, -165557571624960, 203817807716250, 768901297537728, -473345080507956, 280651796241408, 1071699972755154, -170471678040000, 334070585782128, -30936649433088, 720451601017044, 1627213460184000, 217920710775000, 612953072787456, 2074477302146034, 424748017115136, 53885305654698, 81806400000000, 806224806097596, 312701166005568, 951911445192804, 1034775775684608, -211920656769375, 464876955221952, -166413098327004, -86927354757120, 697480386609528, -164963970660000, -224539824104772, 561805651564032, -14528301595374, -79113459486720, 823167030277500, 67321052454912, 390801156246900, 992552429969568, -532082033781372, -3498929280000, -1183137210471378, -574932534107904, -884257998793746, 76718379368448, 27200421093750, -626410793198208, -332320004510130, -83855278579200, -8212010644416, 202679464080000, 309174006304842, 233595659624448, 3586315865227002, -69439545349440, -20999240343750, 637768294645248, -740560950267030, -224661774116064, 796200535829772, -101781504000000, 411437013549492, 1260365259891552, -174393698324580, 409649784420864, 1286905579683750, -1699333082406144, 595650433690224, -98370234654720, 1673890223017815, -15751087500000, 97183583819436, 619329589463040, -1285322228551782, -408887602418880, 23980956903750, 112973813121024, 1058418617434284, 1122950747742240, -3544215958725708, 202646376960000, -504071792244522, 159149460746304, 127751410491300, -494473335496704, 508954451621250, -34288754078016, 308620866910614, 312046666824192, -508348100104656, -151350327780000, 594808503095934, -224698634993664, 1189604095284630, -58772972780544, -10070800781250, 55275426468864, -28156226530806, -433408361650080, 1807724894447832, -72128670720000, -2924684451613080, -745716512117856, 431961105367890, 748071868425216, 1057324679133750, -883898449344000, -1868502743841972, -147071214551040, 1084302229394394, -10912977180000, 141184046012784, 685901653165056, 121561541501826, -826045214764224, -318265556647500, -615886854463488, 214526583836712, 81745526708352, -1271126233952640, 172544400000000, -867355933865184, 1005399822820416, 1557380373562842, -86084097146880, -31266196890000, 651789610465824, -176931286454694, 121445547185664, 1517836392118800, 224175808980000, 486221106515886, 594639126994944, -1111194574890270, 2323732841520480, -543524607270000, 498269764058112, -1666979633130480, -559637820973728, -314742464667000, 11072962560000, 1501768267741776, -1024285756846032, 1217967339834588, -451669133592576, 64832627343750, -572378824854720, -3078223640309040, 526917854945280, 884245401379554, -290000672340000, -1156202248091160, -119762955648000, 822199909564962, 52545512805312, 1011382404142500, 196241619222528, 658871273826720, 1980317354524992, 146836210123638, 134805204480000, -2259859105536672, -846727930665216, -1009495410982560, -415911420887040, -549703158450000, 480819373331136, -607685488407120, -235865658878976, 54348325981650, 527144287500000, -1533722699491764, -8111152693248, -137472898392648, 1849474112399712, -383870224687500, 479744448697344, -1446133496296644, -634575654625920, -1972301130851532, -44273671680000, -592300166381436, -1556193876722784, 2439225933740586, 242604118199808, -651101800057500, -307285849223904, -863584697661504, 138615522852864, 306478900483272, 272526629700000, 30921426914436, -442098102606336, -651351665450796, 90998432522592, 225529225781250, 210499550724096, 844413906613074, -994634799350400, -1380633514061688, 798296728320000, -255800106024666, 491518118909568, -1353417596249520, 13176825446400, 775934286900000, -1415138809243008, 691258340847246, -136904681324544, 3672027421716888, -237064143840000, -873530963475216, 468207969337344, -240463437962976, 38347089620352, 109792249717500, -932594572800, -294712790362662, -31806266981184, -382522078079970, -48000000000000, -2215438583082300, -482577503468256, -558840559759524, 175597545374208, 403897950037500, -380677973458944, 2525031061215156, 361780281851904, -156151199275806, -424926297360000, 1999759966361862, 279842046736896, 206766256740360, 408271513718016, 640976840100000, -128723954171904, 952673443377822, 719233381154496, -706665577038384, 123030192960000, -2956323789609420, -199765871322816, 51169108874205, -506855098368000, 202273041796875, -51266494725792, -1468415587893312, -851759571683328, 1422602329878162, 161677673640000, -1183215950655282, -15043137110016, -1043513283951288, -1540945834522848, -850038488587500, 591068573363712, -407338359795570, 773289809350080, -1111032848304936, -347704181760000, 3162236238689472, -1763098491961632, 982967175850140, -42800389191168, 1009689796001250, 1287892895934720, 1003294510243200, 52776558133248, 931058558041368, -169293787500000, 436800284656008, 6722214810624, -1288735111406802, -1978803814478688, 621275795370000, -91925952503808, -1485640858739298, 14616399284256, 3408243024473424, 524897712960000, 829962627923754, -1095738877494432, -1217471097329136, -793059562094592, -210474721275000, -992120129568, 478776276037944, -1898292748021248, -21052539545868, -822913182000000, -3178653717654252, 24784641122304, 1158874852221816, -155123341391424, 440686781250000, -257676386145792, -525720292255008, -341082404263488, -904938836430510, 5969018880000, 389545996734030, -2331409399287744, 3130500457968000, 168908719916544, 262784162302500, 302353650073440, 1667323797246468, 566923256340480, 651525301481370, 707365009800000, -3597286664139744, 236645554870272, -292647249008100, -183868469176512, -425634564060000, 118460798730240, -1347357228889230, 539590583196192, 235070082907092, 15846600000000, 2390292613007586, -1192381823448672, 1226319684005562, -701893380882432, 167278962900000, -1172726729819712, 48882560901888, -438661247778816, -3291987703403736, -203865529260000, -2390405411352906, 167815277445120, -352448563524480, -732474378986784, -2301446415937500, -467748986313984, -25361682217704, -511373234384352, 2165099042062692, -40910453760000, 1432227364614900, -756446707042560, -1536969920330712, -1291552848488448, -133564453125000, -555992981430528, 3608631031954146, -271501953859584, -139272166285140, 1550593197600000, 601159953863820, 947702647305216, -2664730161719694, 8158896211488, -11607931623750, 867219416088576, -807310308477390, -1369555238882400, -1472064291921600, 93471966720000, -1343013184281594, -25576148943072, 2563150673053728, -94297437241344, 3337636499043750, 1034449862373504, -382644761563224, -1337573567490048, 17216281523742, 52996800000000, 2150556525456300, -736906575421440, 846920022143238, -1404503043657216, -695067206298750, -102015394285056, 5623660272715308, 1383378184414080, -956577563923008, 18617057280000, -2616736305537390, 1475986728657600, -441096213540066, -1323416976602112, 877284379256250, 2496633005053920, 1593433711553856, -365972881047552, 1819641446013690, 18857454000000, 254125441985166, 326911660984320, -204797876939076, -862007947314816, -892681474218750, 146855669268480, -1313460018402588, 2158742729574288, 922542309565998, 656070912000000, 359108717631264, -748383323324544, 1518736819351344, -829471741894656, -1325204141625000, 896887810382496, 1432534914307782, -1284287548529664, -1525345891679424, -81590083320000, 1289944762085532, 954717415538688, -4162487917632468, 2341237972841952, 1847293747507500, -1162911206426112, -3790842483613950, -218111992277088, -1935567934975290, -110601600000000, 1643255338075392, -1288120731991392, 2117823741781560, 462744262941696, -184217818955625, 117210548366208, 1128766302144768, 204310315008000, 2560167368831301, -1247703891300000, -2952090675690120, -354874603012608, 1006155429704262, 2081760321964032, -1049245792815000, -250496091906048, 5602719188879466, -807220024734240, -418221233045490, 602525086080000, -33676118346198, -2861240409054144, 309038492104056, -820256623558656, -60964539843750, -490071918408576, 1976851912705932, 615214708631040, 2861510304491784, 404193290100000, -13454178084900, 234522695467008, 829111458279006, -2226115278656160, -685185049417500, -1645698160032768, -2333641988399634, -2792550214922496, 524174040036588, 75528929280000, 1003711533537672, -1863593670357504, -1877253206401206, -2072749980664320, -1496467462860000, 2577547305149280, 934504794508068, 1473237368438784, 281433533537898, -199722656250000, 2999845351390020, 1523324569565184, -3753323600776170, 229199264078400, -2526308046105000, -155239308460032, 2651015737748508, 1239536096626368, 2877019405723944, 212224987200000, -920876269444236, 3736640833445664, -64461275934288, 436383687745536, -1371595829013750, 318503325046944, -1020960457682274, -318280547273472, 3423000927802656, -164358038220000, 3743513630758032, 233553342234624, -297458570335410, 3478782190133376, 8542307812500, 298387177790976, -4215319640415000, 744065676396288, -1672255637834712, -187300730880000, -1773694341702114, -373290067102848, 1425899292448428, 247899131661312, 204724801218750, 3557950431924096, 3150093854736222, 823255915954176, 962328940643322, -570301903380000, 4064113230500646, -1053925620033024, -280418912704878, 442560479598336, -1557051500598750, 266387052158976, 2238788077902282, 574365109631616, 1251236889089496, 248490000000000, -6163389834151536, -1055248811831808, 162424778552862, 219597382877184, -1000121543996250, 2607309315018720, 5306474837570676, -1894692847432704, -713464788387474, 240161705700000, -221259323382618, -87292240711680, 1498798397656170, 1881444335913792, -1512035130525000, 537371066302464, -723356679053820, -1169062444654848, -6629167843885746, -275814973440000, 3125981027819406, -741242319794496, -409055640435000, -693429181992960, -494742131250000, 3836513138240640, -3006808165656144, 694901258526720, 1213576011733284, 1207210291740000, 1899830367461754, 19793838968832, 256515741833922, 538804039583712, -761832682676250, 73015574396928, -110457436066272, -401729152464864, -1307626941340716, 548580651840000, 1409255656879950, -2049446394004128, 7799337528502800, -745162001645568, -134949771652500, 3401787862036800, 2112374475184692, -232735439751168, 3089994774629076, 176095387500000, 3336194031605172, -24934931890176, 758784426263244, 648719190571968, -1826347335022500, -112357431115776, -484427361513168, -262516747648896, -557903531109918, 359060582400000, -910222145630742, -3538350453867744, -2293275730573236, 1063394624980992, -1674564582922500, -1445184147435504, -3408259670940384, -42281503555584, -1753104778344900, 1503630015780000, 2010569933921064, 894424487832576, -2635016835610236, 2209446439146432, -421250976562500, 1543785703464960, -4231632414376206, -1608940101960000, -3812606986325832, 210166252800000, -4766875802722224, 2230290346020000, 2533274583427806, -515801978634240, -296497917933750, -562287955863744, 460187653206288, -4494822578995200, -2622081071902392, -1451755681140000, 7839385182471978, 499243286937600, -5414088211696098, -1838349577943424, -1216478916157500, 1352230144077312, 6212466716940222, 1903009486142304, -828119064749076, -27033600000000, 99698791708803, 2477642572780032, 1033464220895088, -1185202043582976, 1102707845685000, 2918181809803488, -130428062862264, -83391490818048, -26533680684540, -1286420544300000, 2158880265553476, -916350017596416, 2301374277717984, -2139098861605632, 292390028437500, 1249568953073664, 480889198167534, 1183538793666816, 3530226748306992, -479105515680000, -6211488703361526, 195237351418368, -3439992826858932, -2443316653670400, -329114268750000, 255554511589344, 9694537768965294, 245812021768704, -567441491014272, 1015408742400000, -5492230686113598, 463170346942464, -6941872142395692, 139165184542464, 575843893747500, 1404651581996544, -1767034087651578, 794672304134400, -6251839077839472, 19802618880000, -594822785882502, 809320324128960, 569065365860586, -1625548362435072, -1171251095452500, 1506860092770144, 1782762842764608, 43631780954112, 1935214474134192, 108090018750000, -9644924325466584, -1555179519518208, -6516163850959446, -1707219463541184, -592295210448750, -29370216210432, -3258486940565178, -1032586190901600, -498913375805142, -338416803840000, -2049532629132600, 1297805335761984, -3599557519079106, 174033758846976, 1079341070816250, 5992397599717152, -3077255605938144, -1422988965364224, -787793071649520, -513914918760000, -507920419559448, 752490666663936, -4357925637550746, -3379638301429536, -1948966621875000, -2297746177582080, 610827361539456, 159166399897344, -577457323938936, -32169984000000, -3620858191108836, 316401708108288, -1845311879898522, 93968213529600, 334239944640000, 4066331446632768, -5598770457245136, 2240704804405248, 1713356045661672, -1143085862640000, 428834356660680, 95928883717632, -7304371245163746, 3869021816003520, 2276842218750, 1415042171928576, -2431051766601438, 106222475282400, 782986490122746, 117187500000000, 3756183819941508, -6822970480460160, 1361038461565476, -2200588815286272, -428704944761250, -654883998358464, -5213574023251500, 861315194557440, 1228509885609396, -883252641240000, 1208863382467320, 372089429557248, 837164202513240, -4207312309032576, -683208121916250, -598375552598016, 993421002176868, -301733703534528, -3022157702173416, 314267466240000, -5784254280877164, 1548358420193568, -8735662112547432, -1133215508034048, -300366682031250, 2282286950617440, -814114395045231, 605400405639168, 1786435854441030, 1237439205000000, 7543775459377602, 793105387021824, -402310791014472, -633725589687456, 2079491141805000, 713466959831040, 3122322161672064, -3828765081558816, -212573337147672, 36726408960000, 3162278463514044, -906973917004032, 2224420384192320, 836041056976896, -1443038509188750, -470657549769984, 9246833714940588, -13441486722048, 6533660763806220, 848887162500000, -405013580394852, -1414427543986176, -5633605288963800, 1583349041412096, 104493137673750, -582331897884672, -3537681529487046, 622263180710976, 1920327281877684, -128849018880000, 3343200683416740, 778613429209728, 568701220740696, 2820442255074816, -16411657252500, 747159704858304, 8359439695742190, -1594223922659328, -80670681704550, 224428594980000, 2182548344786172, -785842694545920, -1069361980903104, 7224327849765312, -1281488557031250, -391003825766400, 3355563140549496, 2586664295113824, -5357789661962352, 1936180571520000, -4265947472887188, 1919370583153536, 4943776474913094, 1570974260576256, 4634503779348750, -7755579226121184, -12997160317083744, 375892329492480, 279993509762856, -60509377740000, 699130624732614, 542972562112512, -111697473433620, -3571981767908064, 629092739613750, 2116696922370048, 92125244041446, -4952545471316544, -189767458603800, -14572800000000, 165760964386407, -1939285011463200, 8979636887440128, 778486321729536, -412374804483750, 2282874093067008, 11717324804287410, 636816374366208, 6317922320685990, -1384089981300000, 1955199421348194, 1298798606473728, -4751906570461656, 4313536727358048, -577747936695000, -1641690687578112, -892153311652044, -581427419199648, 1256878527695910, -289210934400000, 3211136440044582, 4289406576393600, 6797313911614296, -454444550455296, -38687988281250, -9320614096500864, 8041578682120320, 652095631249920, -2194211037454026, 1713606886920000, 10613297132546628, -277089501437952, 1246985761034982, -680204817766848, 1070950311960000, 605251512814080, 3308736439462662, -2842486370096832, 4061818487360214, -409705267200000, -10198177014177144, -7957835785286112, 1864138617169824, 2306338723195392, 1141965298618125, -41923293134688, -8788627366627680, 1234014559518720, 898413361638480, 99879037500000, -1872966923971260, 1596443316079104, -1222648962417036, -436718271473088, 3153205196505000, 1182959570780160, 8115490293099390, 4337391885534528, 6358723354267200, 662846567040000, 1281757070395344, -2604936747641184, -3555792173606922, -3241026732662784, -2313727166272500, 1633009726265856, -120112221972624, 238333433011200, 7478918863087272, -2117234902560000, -1590139219744746, 685332198457344, -760632933434400, 861193787777568, -228203043750000, -2768674499231232, -1533439727804676, 777385891228896, 581988179725236, 230218352640000, -2088004131288432, -1405409242951584, 6213415354092996, 2045488422641664, 3265560467505000, -2000058884028192, 3819960656464962, 42537892970496, 4709190946038468, 1799088318900000, 2337966322543800, -1982800221421056, 3672409149997464, -513318652735968, 249061021203750, 951758793596928, -3867898357945584, -1575907587970560, 1774884084836646, -45451800000000, -1001551192016892, -1114066582861344, 2912214958074984, 2465420353142784, 3230998478032500, -7977220274273280, 1666177707282408, 2665518705533952, 3885326643753828, 893488479120000, 9449656671697158, 4495222390112256, -3664762724138262, -3109923547660800, -798124172325000, 517867673530368, 4242916236965580, 26526870856512, -9548790836635896, -358534348800000, -1910724046224756, 3514424415182496, -2111739653501520, -2391015558170112, -1601735625000000, 1880113968660384, -13151614086834300, -785059819880448, -143501936734662, 2025077494860000, -525194568787086, -31769560980480, 9982484587595952, 4840660131598272, 3135467647777500, 3136143220015104, -1474675855159500, 1187090781265872, -1734900793599480, -2330853065280000, 1299695844427362, -847672118555520, 5141348307557874, -170081737125888, 2839138687563750, -4234633981549920, 2967657607704744, -8090395171885056, 2211597942848802, 270023437500000, -2501272675100892, 142262201745408, 8537892632924634, -422816931331200, -1129746735697500, 2475185601106944, 2846690656913694, 1046938300655520, -1854476971572432, -498804480000000, -5712198659155980, -355852468321248, 629317249350660, 3960844544280576, 866393073761250, -9837795495274752, -1850905027334364, -333066302128128, 2669117134710960, 611562724380000, 6232044767861820, 3066736711514112, -5952662976623088, 1038113632305792, -1471008510937500, 968030132109312, -3778122735767160, -7766558335563648, 2980829156555040, 2002579647360000, 4348717870518, -4257425376548928, 1360141952772600, -2396273585946624, -1501989034743750, -910705614975744, -13631625446052936, 1016233733194752, -8430150704406774, -572565174480000, 3616883849813340, -970800390905856, 421777906514748, -7387470145197312, 4017817773517500, -2183217846276096, -1183631385996102, 1526931656692800, 6437701558607904, -184396800000000, 3134759674279680, -8095826255786016, 6405304355823528, -1572830992868352, 5060424757481250, -2508481440288000, 1551614364864060, 5558834864037888, -8191114745402523, -3596770919040000, -11329535764324878, -3449330911438848, -4769439377438178, -1632396863938176, -3719054124915000, -296893909303296, -2562822207452754, -2175571123573824, -1346194132035120, 379002217920000, 2462376628928160, 5522176034062464, 3189034435400904, 866489811959808, -518127410156250, -7275863389852512, -4100727390014388, 472632789275136, -1326316321720800, -1065389862660000, -3039023222357112, -271530851303424, -3558140426249256, -5136891221538720, 777052117366875, -1073652747592704, 9990824746069026, 5248756385499840, 1968243982278426, -570198589440000, 497012637789624, 621100951055424, -2068478291376864, 5283169696097280, -728484320778750, 2012078788398144, 3028980680651628, -163650440527872, -3265507857757740, 457277175000000, -6609344197515108, -353056613990400, 7665857942133222, 3261760519837920, -605222489407500, -1335740384649216, -11815735355881410, 4570034360056224, -15243055718573304, -2009902138560000, -6597719060100486, 2588793301957248, 3878824320318402, 1117203189202944, 2573060595783750, 7165765688450304, -7724652386083320, 1039089918230016, 10390205735667252, -650359014060000, -20632704838208892, -1428165170135040, -1687598494693530, 704064400445376, -606665039062500, 785826228538368, 2386693095493392, -333670049748768, -3746630332339722, -536126423040000, -2861116034031072, 2044642229774016, 432377105472990, 2016447054107136, 4625714959552500, -10829732038621632, -1733445698282712, 1388843216203776, -3653558198276364, 213115822050000, -808559689250040, 504737130531840, 5900285474325132, 1005565025854560, -1311941079840000, 1081107878117376, 4270850273297862, -3161303279971200, -13775580295512210, 673376400000000, 8411219531845332, 9333399248677824, 1688513281714518, -5394707449626624, 1692942338850000, -4241603449370400, 7965770460411816, 3539827446423552, -6161290924570368, -1696536275700000, 1976448829639008, 22930582929408, 7795052038384056, 1472768518718208, -48324802170000, -6100572272230656, -16446574614844938, -2791815673930560, 1009511637901284, -178260679680000, 5088746812658400, -867293662952256, 99467939812668, -1732187093615616, -1339308232031250, 2717413421647680, -4993025383031076, -1328280135794688, 10777713515387784, 1819243168080000, -822701500374996, 6198345120009216, -1635117741292896, -3563765851928256, 568201757205000, 137620621516800, -6445261901280720, 14954477618436480, 5238304127003832, 60876298560000, 720537060065142, -3701169547039104, -4222565833049406, 667035264614400, 274310134560000, -9294548370405408, 642618863876640, 2303281490614272, -8245761648647586, -876612750000000, -7999621900420122, -8433864407015424, -9469701162072252, -783169817205216, -2596178283645000, -2486716939636224, 1837901555017608, 634574729860704, 9217948527154116, 103226327040000, -8841236551465500, 3293947931661504, 5789184866632860, 16194727115799552, -2183653534747500, -1822177470662304, -15980096141501400, -157161599164416, 12638255682466782, -3769008065100000, -1197366692298504, -2863490097715200, 17794752989775936, 1992343561721568, -513101203125000, -1328063296045056, -23171235742471068, 2009443349865504, -5577249415545756, 1259282174400000, 10579246060071240, 5956758827900160, 753431643473976, -3335483894145024, 10973687937000000, 1019982618207456, -9362895242477022, 7675541549365248, -44593030125798, -1218855681000000, -11994057964139982, 991889508139008, -1735609672601340, 6181138448972064, -3301343125188750, 359081907351552, 4420622290161474, -3416460605599008, -6598944903441432, 66000000000000], "weight": 10, "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, 0, 0], [1, 0, 0], [16, 0, 0], [-22, 0, -1], [256, 0, 0], [-625, 0, 0], [-352, 0, -16], [-2401, 0, 0], [4096, 0, 0], [17043, -13, 0], [-10000, 0, 0], [-23042, 27, -66], [-5632, 0, -256], [-3036, 20, -765], [-38416, 0, 0], [13750, 0, 625], [65536, 0, 0], [182360, 56, -1335], [272688, -208, 0], [575148, -137, -1083], [-160000, 0, 0], [52822, 0, 2401], [-368672, 432, -1056], [828300, -297, -2427], [-90112, 0, -4096], [390625, 0, 0], [-48576, 320, -12240], [-151506, 858, -13545], [-614656, 0, 0], [2244588, -81, 19620], [220000, 0, 10000], [261800, -263, 11373], [1048576, 0, 0], [3334190, -2640, 55205], [2917760, 896, -21360], [1500625, 0, 0], [4363008, -3328, 0], [-840058, 5529, 37605], [9202368, -2192, -17328], [28114362, -11265, 11106], [-2560000, 0, 0], [-9029002, 11401, -8901], [845152, 0, 38416], [2826496, 13145, 115431], [-5898752, 6912, -16896], [-10651875, 8125, 0], [13252800, -4752, -38832], [9391754, -22908, 5895], [-1441792, 0, -65536], [5764801, 0, 0], [6250000, 0, 0], [45273982, -21051, -142010], [-777216, 5120, -195840], [5326882, -1994, -121452], [-2424096, 13728, -216720], [14401250, -16875, 41250], [-9834496, 0, 0], [24388116, -5037, -769539], [35913408, -1296, 313920], [-46752680, 19352, 75096], [3520000, 0, 160000], [-2578466, 32503, 202437], [4188800, -4208, 181968], [-40920243, 31213, 0], [16777216, 0, 0], [1897500, -12500, 478125], [53347040, -42240, 883280], [-29976348, 13008, -366840], [46684160, 14336, -341760], [64948500, -11949, -1251459], [24010000, 0, 0], [74244608, 49800, 1403232], [69808128, -53248, 0], [23211026, -10166, -93654], [-13440928, 88464, 601680], [-8593750, 0, -390625], [147237888, -35072, -277248], [55323842, -64827, 158466], [449829792, -180240, 177696], [192451606, -71777, 1234200], [-40960000, 0, 0], [172606329, 23166, 921726], [-144464032, 182416, -142416], [376052720, -82962, -1316526], [13522432, 0, 614656], [-113975000, -35000, 834375], [45223936, 210320, 1846896], [-761754858, 260406, -1913793], [-94380032, 110592, -270336], [-52023074, -205619, -2007201], [-170430000, 130000, 0], [7289436, -48020, 1836765], [212044800, -76032, -621312], [-422179952, 165207, -339029], [150268064, -366528, 94320], [-359467500, 85625, 676875], [-23068672, 0, -1048576], [-280844176, -106056, -1437075], [92236816, 0, 0], [-1663118184, 360464, -4107402], [100000000, 0, 0]]}