# Stored data for newform 175.10.a.a, downloaded from the LMFDB on 12 April 2026.
{"Nk2": 17500, "analytic_conductor": 90.1312713286778, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[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": [175, 1, [127, 101], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [28, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 167772335, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "175.10.a.a", "level": 175, "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": false, "level_primes": [5, 7], "level_radical": 35, "minimal_twist": "35.10.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-28q^{2}+116q^{3}+272q^{4}-3248q^{6}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "175.10.a", "trace_display": [-28, 116, 0, -2401], "trace_hash": 9501995058624127, "trace_moments": [{"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "1.899", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.624", "prec": 17}], "trace_zratio": 0, "traces": [0, 1, -28, 116, 272, 0, -3248, -2401, 6720, -6227, 0, -25548, 31552, 42306, 67228, 0, -327424, 526342, 174356, -350060, 0, -278516, 715344, 621976, 779520, 0, -1184568, -3005560, -653072, 6720430, 0, -6412208, 5727232, -2963568, -14737576, 0, -1693744, 2317682, 9801680, 4907496, 0, -10224678, 7798448, -30114004, -6949056, 0, -17415328, 23644912, -37981184, 5764801, 0, 61055672, 11507232, -57292654, 84155680, 0, -16134720, -40606960, -188172040, 84934780, 0, 14677822, 179541824, 14951027, 7278592, 0, 82979904, 244557812, 143165024, 72149216, 0, 61901952, -41845440, 283763726, -64895096, 0, -95216320, 61340748, -137409888, 276107480, 0, -226078919, 286290984, 72995956, -75756352, 0, 843192112, 779569880, -171682560, -896368470, 0, -101576706, 169177472, -743816128, -662057536, 0, 664358912, -1205809578, -161414428, 159087396, 0, -1460213338, -1709558816, -1080085304, 284296320, 0, 1604194312, -335949108, -817512320, -1425208050, 0, 268851112, 786145024, 2841779886, 1136994880, 0, 1827956960, -263439462, -2378173840, -1263747142, 0, -1705247387, -410979016, -1186062648, -1744120576, 0, -418628756, -3493393328, -3136143360, -3493224464, 0, -1846965388, -806090496, 840494060, -6847618736, 0, 3537018240, -1172376458, -2020178048, -4890013380, 0, 2742809792, -1733254656, -1080833688, 2038869248, 0, -7945384328, 668716916, 630409504, -8614877290, 0, 5489051312, -2352403200, -3277531634, -1717540944, 0, 1334838912, 1331104082, -7731009440, -6645947864, 0, -1493364376, 6330209732, -1410967884, -2781112416, 0, -2043886768, -248554568, -1871627520, -8814701737, 0, 2179823620, -8191009088, -16652203614, -21827956640, 0, 8365028352, 9852434480, 25098317160, 20295598140, 0, -13615912778, 2844147768, 1702627352, 4179678720, 0, 20826851584, -13446985416, 6431416064, 7216349560, 0, 1823569192, 844316672, -12374728434, 33762668184, 0, 1568025872, -19313746158, -4454447088, 15214537640, 0, 28368706192, 40885973464, -16135752430, 16607142784, 0, 30242388512, -3873044552, -13851999744, 8943332880, 0, -38962621508, -15583601888, 7180626432, 9406575024, 0, -20197363200, 15395711408, 39905825400, 32916592216, 0, 22267424652, -7527831136, -1083241584, -13751084032, 0, -79569836808, 49461826612, -11045093120, -43277649050, 0, 7115526768, 45161289600, 7553668326, 7376304936, 0, 23102260160, 32028467680, 35384919976, -27651590680, 0, -82600559358, 47746926836, 32933282876, 3992367584, 0, 33209754144, -14809638360, -43090037760, 8467530896, 0, 20181708732, 4066679344, -15890242848, 97815013184, 0, 84085374976, -28278089178, 97810284992, -5564754482, 0, -41848117610, 51715030864, -139139381944, -19915176960, 0, -23533833680, -103978742520, 66519724864, 5788827950, 0, -74690992848, -172337003008, -11782897896, 32826540824, 0, 19624586752, -22235508878, 136920374640, 39928819216, 0, -136057812678, -76798674176, 171083794396, 16837330944, 0, 30263343264, 24549451878, -35663473664, 158448024467, 0, -139873911048, 77183733472, -105732398534, -18724073648, 0, 15574823040, 76786046880, 241216564120, 26313316656, 0, 72303723604, -153693436736, -169384747208, 114618045440, 0, 91770885752, -174144032268, 16684683456, -125289895264, 0, -105907175208, 32978373120, 243557842126, -37270914296, 0, 75101234560, -183775651478, 186086540192, -171693545640, 0, -38970096528, 41814202528, -184251280520, -61493465968, 0, 39507100752, -165324133800, -68709836160, -56771433712, 0, -58176035148, 19854900032, -14432205814, 6959527904, 0, 91192822784, 340266945662, 246811648636, 329646466776, 0, 163819089984, -61035061360, -13841287201, -202366106880, 0, 466261701192, 502625456972, 212043007360, 71470985630, 0, -127153221360, -146319323136, 25509568326, -275868165440, 0, -243812223840, -146594668472, -568276747920, 149816052000, 0, -200145694179, 381245557784, -197808696892, -27628864032, 0, -47673565856, 459514446032, -203649869824, 63669069906, 0, 137559662254, -202317986816, 504229547746, 376515591648, 0, 158893808640, 284314511580, -202057787680, -96313556620, 0, -405233626048, -51059937376, -610834959424, -363792629760, 0, 346492396152, 187519902908, -327980205216, -649908405690, 0, 327372091792, 38739462720, -214247985008, 540784892424, 0, 43271771712, 367168169122, -426007053920, 97497310960, 0, -973984668078, -794323773376, -271274871648, -397178027936, 0, 451801068040, -59212139736, 410294115840, 358195592090, 0, -135995669128, -293783202688, -203928406780, 108445247456, 0, 242296276992, -567241552080, -250413320640, 484712362020, 0, 718297757782, 1090953402224, -147236867024, -385006634880, 0, -201057540096, -35241450622, -91378157376, -125376707808, 0, 827296769992, 984092477440, -873032109514, -431079919424, 0, -387656589600, -217728918560, -921664582048, 715060551160, 0, -35897415827, -623487890256, -589690593204, 73127502464, 0, 30330764352, -999325765640, -17475899392, -1064765335230, 0, 261220073544, 772964128992, 636729952192, -1384931145136, 0, -272878771200, -1542960483738, 1211774173400, -1581952461520, 0, -838679673458, -199234749504, 861818936016, -2200430072320, 0, -211502713128, -1469860542988, -71655533664, -587183306612, 0, 154408073512, 570761721600, 769352574192, -896797095040, 0, -343739222624, 356761356458, 774244539040, 2202271407680, 0, 98051854692, 2312815662024, -173230267616, -463827289264, 0, -922131920528, -1300725498728, 98634963840, -163672274544, 0, 688947010452, -322609040256, 3537244567060, 414669874080, 0, 2099510792192, -148626586752, -237090865088, 1767101084540, 0, -28832329888, -565087844496, -2635266922744, 100470901440, 0, 444926799744, -1022505401492, -950202985216, 2221506410590, 0, -681316706126, -748685099008, 1052126333600, 791786496984, 0, -950157054208, -604080211776, 155813125496, -1931655619224, 0, -1874409104918, 1171747293080, 1584119979916, -502374585536, 0, 3895902694432, -3375014383136, 970343288832, -1414298516887, 0, -528888875060, 228614384320, -432565227468, 2911404790560, 0, 1643428496640, 2354289384240, -162087182600, -147279135948, 0, 2798877271422, 2091347799744, -1579445882248, 3014482745344, 0, 329921141088, -1166061114828, -318886396576, -91398797594, 0, -2352553725800, 484842731520, -662934059480, 622594248584, 0, -1330083639360, -3290329718678, -1118006938048, -1274003053224, 0, -1559850308256, 3809618754984, 3638714903156, 746044263424, 0, -4790346243088, 542815484519, 415981117440, 4350091689210, 0, -4911356982828, -293986763136, 211534026272, -687384652584, 0, -45323792384, 1687577613302, -4436544685076, -1435468498344, 0, -175263290356, 3916469509344, 1463712724392, 1906892238720, 0, 2960507158952, 4827385512492, 181891001152, 2244657532480, 0, -2240394554328, -758864711168, 1120763350566, -2150009312640, 0, -2343246622880, 1764886366240, -736772866368, 1359444695600, 0, 950420630442, -2024504260912, -1522861495324, 1493021956864, 0, 4742772921824, -3359388479648, -2004874833920, -1871747281880, 0, 1000321647072, -891488604448, 2622572206386, 4876032903504, 0, 412209826560, 33528485382, 3508117067392, 5515873057500, 0, -1869386186560, 2965400905824, 2152180696470, -1606831970304, 0, -6819619579528, 1037426614080, 362060310304, 1219893379244, 0, 2724556984752, 1855442265600, -4519664094928, 5145718241384, 0, -1807697819008, 243885671106, 4807419277920, -385463455104, 0, 379136232642, 1091162702784, 5154462237476, -406195110272, 0, 5159035854560, 2680590842232, -1519250335680, -2169913759440, 0, 1785902523328, -383783264448, 6449857621786, 4629075746400, 0, 3347804969472, -1766996721802, 1589600143936, -2795492681220, 0, -493690839658, 1628928984144, 2583021259632, 490532824320, 0, 404101762792, 4179946169680, -67606842496, -125656023744, 0, -374988996456, -1595125747712, -2838053902754, -9527474478536, 0, -2397598872464, -7712363354998, -9230101069728, 2895148796778, 0, 5737571886992, -4586934519552, -10767675416724, 592912024640, 0, 387556041628, -5020207289800, 9860047645696, -2423823020124, 0, 2022979416612, -4529399383008, -381968837796, -14073512795216, 0, 5238709593600, -5381677467876, -2001187597640, 876225525816, 0, 866031095662, 3560290198080, -811327760920, -185953468416, 0, -714267913128, 3505972224538, 2679862178560, -3788338080170, 0, -1719321277960, -6023596118400, -3988239483008, 4104650717216, 0, 5520402694080, -3207584518880, -4194849456000, 816971982320, 0, 2593284814904, 5604079437012, -9581664885528, -3703528275616, 0, 5538643512976, -3132268610008, -682595464320, 8270172176293, 0, -15850265093368, 463114639744, 13319696835586, -12866404488896, 0, 3562200850432, -6247962980976, -1782733957368, -15670167623380, 0, -1717918049760, -3851670543112, -7911082812264, -4998444380160, 0, -14118427336888, -454545818012, -3657580033152, 806613808308, 0, -4015142763208, -7741911666688, 2341078212912, -7960806324240, 0, 1962847080320, -2840747650718, 2696779585360, -1843268170368, 0, -7104389630118, 11346541529344, 3421924528050, 496010820224, 0, 17103378863872, 3593250802680, 9753903497216, -4970519652910, 0, -3280258344648, -3365926134048, -11156469169734, -5250557281424, 0, -8103040364160, -645511519912, 18197435359320, 3579250780680, 0, -1581471069696, -9166418570176, -20198655590800, -1887534202624, 0, 5998943580224, 6237630464372, -5253338954976, -16140168305504, 0, -6823113506286, 1069067301120, 620959937532, -10280708735416, 0, 4138354238080, 1837992379602, -2729924706880, 12445310271904, 0, 5581686462690, 27271570706184, -7249595671848, 7716288084224, 0, 7595696406144, 671504042200, -9812633631360, 19220546703690, 0, -17031631065108, -4388924660960, -8664155170368, 1657939912608, 0, -19991092348928, 10541708240240, -10029476578520, 632518148262, 0, 13348486863462, 3807878735584, 17285784001096, -7258173242880, 0, 5709995389840, -16465102143348, -1053468118144, -5917861780770, 0, -2579319029848, 307928113152, 3034256887942, 15882763458240, 0, 2432586543360, 19272275876480, -13571946136560, 24038043287160, 0, 30657033409031, -20112337217896, -15782706270648, -10597833050176, 0, 4122632276672, 4094298976187, 18758989943296, 19845720149936, 0, 1441542579632, 1953130389504, -22644616125414, 986760617416, 0, -2257578005760, 12022330618542, 3510547818624, -9442583753140, 0, 2847736417848, -23164309559776, -8803796943024, -17213539409920, 0, 24444899066392, 18379970838172, 4187633502976, -7053993899040, 0, 10346262794472, -9577398096000, 7508576242206, 6096409719680, 0, 8953313082752, -6735131900198, -20021695432480, -12264958229944, 0, -7584736297278, 1005127643156, 17823441166196, 6056739505344, 0, 16511336609712, 24517675485752, 1806679472640, 8387637380528, 0, 5775864222612, -294641710848, -8277137894720, 27981121437920, 0, 7529880207360, 3052344732096, 29813429386440, -43092795009440, 0, -30155530091668, -7314162059232, 8387231938064, 19096760833920, 0, -17828438661376, 8142312182012, 13453616838464, 9092748455726, 0, -12696510319608, 13295693271040, -1864900683888, 43202893544664, 0, -11771520541600, 4434563896588, 44294668922560, -25357535942640, 0, -20200707743088, 23483030856824, 2618823981312, 1935423280896, 0, -24130930208448, 6725691188008, 38489461749760, 18961075181410, 0, -2018026238060, 2054597784672, -12285232324128, 41156095203664, 0, -1770313184640, -8655585863458, 16441132585136, 28252709686616, 0, 34233579327822, -4323426058336, -6359504323728, -27809685406720, 0, -21541872077376, -23859731716268, 8711743208960, 12004908192156, 0, -21317975571448, -8492380794240, 48348073880246, -9989317980824, 0, -7521232664960, -19916451294240, -61663599415040, 2814875875658, 0, 14676789274593, -2745451931376, 2091955095516, -22467352145376, 0, 4850447493248, 22802506810952, -11459262440640, -21373148540320, 0, 7623848664332, 8957852942272, 11740922125380, 36420313964384, 0, -4805871190528, -29701755754418, 4582823687232, 22900421671560, 0, 8874770527350, -19290516292656, 10829164339336, -7970340994560, 0, -99042847877680, -6585486310592, -4028221633920, -18730187751904, 0, 5295137796312, -36724202848256, -6748420077168, 4161544429056, 0, 2303168403712, -16421422524998, -49478830367120, -6965932311920, 0, 2595081684888, 807305236864, 44704741974760, 5489424775104, 0, 73787473836832, 20055866459240, -4895325064448, -24200727627630, 0, 39470965696792, -4322146054656, 12765420090586, 28630151241776, 0, -23475603164160, -17695763350122, -62202179496520, -23571523443820, 0, -38808329847778, 19076867771528, 19003014438144, -22088529215488, 0, -29459537340800, 11681003048880, -7691640256416, -1605589315316, 0, -6167973184928, -23474468398080, -24667929022714, 16914245929728, 0, -1513613219104, 7725554187124, 54086357338272, -43810773950640, 0, 58304553008752, 52483454937704, 20684320373290, -11382687989920, 0, -44355359437648, 8290634333080, -12411607407360, -26713049358550, 0, 12879276660692, -37845911888768, -9564494747214, 94500402727808, 0, -16973041483776, -13179212200112, 39600358472836, 2959109925816, 0, 5845268078502, 14808888501680, 41954010720136, 5648120083200, 0, 12111826369104, 30806023098744, -28282217965440, 18211542880270, 0, 7869353453234, -80074097036288, 15575819643260, -65920102758720, 0, 1574561202400, 17378662032000, 4123815806544, 3088166914536, 0, 14706567786112, -78368563599816, -23216900524764, -20315950054656, 0, 44224484702944, -11138863500128, 3831028670464, 10618575478849, 0, -28562749982828, -3204948227712, -48170814267534, 32649711215184, 0, -7878369797760, -26445638368018, 2559166332632, -3195980900882, 0, 53303675739712, 65871504322400, 18218428546336, -23623384899584, 0, 18562153665440, 30730883209680, -6048058414816, -77042260728650, 0, 37305530359224, -32860889913600, 15956920821464, 92129232122984, 0, 10860638826752, 99193216295482, 35672085490272, 58490627538536, 0, -29732269086800, 43675808631168, -69651988738124, -37007725048416, 0, -101884017288368, 3585567866776, 18431681802240, 44122448932010, 0, 32980483343280, 46534792075712, 27594019346592, -15198833566532, 0, -20268184731648, -11172372567920, -121802567297880, 128721047883704, 0, 3387733889484, 137517995519184, 21753360253456, -7263202383360, 0, -5922952735616, -14861459061856, 6677450910816, -70856855293184, 0, -97689925305248, 19528764702720, 65441976532006, -47252173172456, 0, 43097862655024, -37921764491820, 40193117953632, -5138118369320, 0, 90509445862240, 4907372129968, 32254719535036, -38045703805056, 0, -40983956282976, -75389375060040, -92911054221824, 596779517768, 0, 81031850232332, -28759212401248, 37975162647872, -135166794349776, 0, 4493777675520, 8582827811184, -62850410909440, 11501053471076, 0, -8541331114498, 62731047521184, 21164098870537, 13273902516224, 0, -31381373815848, 14058073231092, 20885804751360, -68714232771540, 0, 42591507618152, -57891975388800, -91380944847954, -49416818254720, 0, 7157222130432, -5233756511620, -38064451476800, 36411215261400, 0, -5342158290798, -26611777652376, -112982221497048, 19666612820288, 0, 42640121869072, 32581597219584, 36886424816640, -31467885111168, 0, 39981940877214, -46072651240576, -75289367230774, 94062877430144, 0, -2547943915520, -28762262507738, 52408923892640, -35634655764304, 0, -6868608209376, -28009006118016, -28400887759544, -22025012580480, 0, -73432021778808, 41550688682440, -47367176776896, 111278595821790, 0, 68911845329392, -20084433073152, 7300388203966, -938797590696, 0, -34078851511808, 72865682770442, -154444445610000, -23655695186480, 0, 149356767070292, 52342813223680, -72601792527528, -28806751656576, 0, -60261059501160, -202379055901720, 28106368131072, 20784221871730, 0, 30450113317260, 66247733058272, -48729731134140, -29047945194240, 0, 8945019431040, 56226633994320, -34157014618832, 94072820392700, 0, -51012980006868, -76287595573056, 83322539902712, -90404215531520, 0, 126550594657984, 32691806579978, -49986977202016, -71066201710720, 0, 65562762069024, -44660769646080, -85609907668720, -6828798790968, 0, -46700644414080, -11448900555038, 10792976742912, 5648409172080, 0, -4088008272152, -10615814513976, 148846008186436, -10599866255616, 0, -144324942649328, 6730351375176, -10035408606720, -118010541071990, 0, -9607990479348, -50116348301440, 95966425319072, -75056543582496, 0, 74023663974656, 188925113924462, 60757585264320, -101271724703624, 0, -84910686741578, -50005270653184, -44003502375784, -9481704180480, 0, -180596013410008, -51018768053188, -44968164393600, 32286211983816, 0, -25256554552960, -58559103031296, -61775785477428, 49475908210456, 0, -15441829969664, 82947023934560, 78273795074160, 96176342181960, 0, -188262868606918, 13823343510424, -17326455293560, -15823881560256, 0, -72324595269696, 104225243901712, -23900627897344, -68404108811664, 0, 103806507852744, -3925559981408, 193097257360832, -117038492751040, 0, -1670286696960, -4378389629992, 3518368664832, -45694088871024, 0, 53644840884830, 10499691900768, 145326963238160, -2027204329472, 0, 79465509277112, -123512778886680, 92552609220064, -21669397317120, 0, 29711722970034, -59234795672640, 30301528531104, 215946173939944, 0, 89663838963072, 52827394725280, -81064166309784, -34180322519824, 0, 72504445092882, -160652012835776, 158903975952160, 44558792475648, 0, 301494911668272, 135694826030792, 14648414726400, -124590089941953, 0, -178983416113608, -3764830118672, 32874972312106, 140565804114400, 0, -172469887356928, -118994830384298, 67867044563472, 46372304525358, 0, -186897546635018, -56643423665136, -97286842121128, -111902808286080, 0, 10695127458288, -99334329923560, 136714124296384, 99970996577856, 0, -14212662963048, -255249888389120, -36530104873640, 150686969100528, 0, 19440108091360, 89249212743744, -24534314722848, -241625098818760, 0, -170503822986608, -24248870678536, 9129253016272, -34585676209920, 0, 22717177305760, -68113263566992, 80122190561280, 50033906527650, 0, 38420837472952, 6938602584672, -8288785118614, -98167222287064, 0, 66208359705600, -60294851763300, 106073466244760, 89244898606272, 0, 38741941584430, 48140995782880, 127613519692256, 293492549921280, 0, 111670705524224, -154254755716668, -39873749824384, -145190520508330, 0, 172196509156240, 136386419500800, -248469088936114, 89812366528640, 0, 40749966144000, 255463483290880, -22875215504960, 192742087007560, 0, 47186271732624, -72611974817312, 11374015144272, -54439628816688, 0, 268286616794784, -90823663565288, -91498933868160, 9299179969352, 0, -277752312059388, -53803965554624, -162675873667334, 87703521080224, 0, 33258651385344, -151616093885696, -231564820936204, 163870002241220, 0, -150884157852448, 443807422614304, -21472942244880, 11441655805440, 0, -372951511396408, 8786097013668, 124987929320704, 120224339857116, 0, 174654067740952, 4527109537792, 79917853212432, 174942963467328, 0, 17317987014432, 93549254240708, 438764693454640, 410320369778960, 0, -81813869341238, 48101705393280, 21576751225836, 37416228133088, 0, 221510318743392, 100554812709472, 243543251894272, 350753923826130, 0, -17240684063232, 137150436986912, 241315206355186, 12727282904336, 0, -90363741995520, 204983725806640, -22585186632624, -112688560533660, 0, -96654184448800, 112423997369824, 1547749294936, 135419896643584, 0, -65550189961536, 29951873748984, 77333547149760, -305690963038304, 0, 114346366578792, 48493869043200, -471796373236740, 79540934220104, 0, -26197287400640, -23697552156396, 51611508770304, -36965103090608, 0, 54889147716299, 198922909643304, -17571749119244, -110223546285056, 0, -95813886785400, 257694743628440, 12254384970240, 124930061832240, 0, -400125378629508, -166147108963328, -79032737910616, -100611022475040, 0, -86847471484928, -385031270721220, 139174550281480, 79141186385140, 0, 152109089676512, 91847233650144, 116254836848936, -83158175076480, 0, 312381136752552, -53464086589452, 51005413590976, -310044358053410, 0, -70073304566016, 394810995267072, -258166744832474, 18074322557536, 0, -176775086347680, 103693271904378, -100219021859040, 98274696540920, 0, 2600863043184, 44281189951488, -217431456170488, 89045208967424, 0, 565562356542400, -275447979190048, 33016352760832, 183757917670256, 0, -204101215652028, -58275451922176, -72142195954422, -174653653002416, 0, -129788374181760, -25552964357360, 451924712554112, 457422935457780, 0, -391501668443776, 191047178176008, -373680584964704, -52089031547904, 0, -17386878250896, -164058627958892, 99869742001184, -118757845695412, 0, -69794685018728, 102241692940800, -255276577376800, -51463786628856, 0, 26519268581120, -67665785016278, -348468687613312, -50177566386288, 0, -114496466381598, -156287220955320, 103909635369050, -264923829717216, 0, 202988678811744, 179727039997992, 190637705610240, -242268232342550, 0, -126380689617780, -73786765088256, -274912148836014, -18802113181600, 0, 478108891981312, -17084379769968, -538175307703320, -373758226899380, 0, 400501454689782, 476885669823024, 324669763484952, -108432256329600, 0, 242596344770304, -111915173671588, -16105702008192, 84786288868606, 0, -18136357650726, 349679998459904, 38501528497152, -295167830726720, 0, 97429201048480, -362152831111238, -17710508151336, 220092885004920, 0, -135263089320048, -373757632176936, 367372414320032, -36990822002816, 0, -484001952030688, -44115074690320, 353645850576896, -634668224903676, 0, -147791498134368, -55468526644160, -272896232192800, 461022860013744, 0, -26026859389440, -291952321759378, 165700129861560, -76900350899680, 0, -140234282918976, 72220932835744, 353779395299216, -132677680988160, 0, -84959192862376, -239086251250748, -154289702165760, -261929368896410, 0, -381678247366648, 60099196953600, 66391469222680, -539623724541440, 0, 131841762469440, -147784354173984, -673065212040480, 176494227242576, 0, -222837894190277, -858396935452868, 83734378185432, 195376990116704, 0, 441915775578144, 198323943018558, -261828816533760, 422090928766096, 0, 313782746608200, -40048427830528, 463527062441506, -114640371333236, 0, -328128321353728, -362595107998618, -555680164198208, -44387626799900, 0, -79072812185276, -40363192229696, -78137717704728, 48253809623040, 0, 634049251511592, 504610635948360, -9585674569184, -329853803211330, 0, 570798243555400, 109997800737792, -569717410008048, -336625257319176, 0, -34102464523776, -768571608749596, 264392345087920, -11355365358584, 0, 65424609340922, -79736619699744, 90004723523516, 225024721437824, 0, 246506314404672, -34007047086936, -21876244971520, 35557941702360, 0, 195759003143032, -237464733787808, 104490862465666, -514639183468816, 0, 103459180661760, 77057433958518, 197511829173120, 54801386933984, 0, 361323880182702, -289695358245216, -20330541681296, 466647320563200, 0, -210240134781768, -307648411038908, -59222265848320, 169790676029472, 0, -568494259077968, 221199499691520, -22501669675474, 188583693205544, 0, 194496469915520, -48456282665532, 343418830438432, -501471931811320, 0, 559976719449072, 212372616323784, 307905994190712, -9764097104944, 0, -499056352653488, 260380273767680, 149637093661440, 98641275303460, 0, 38152473078048, -160395841351488, 120266697325866, -686494913601056, 0, -88028306495488, -71034324154698, -234853846654784, 130008548665656, 0, -49598558432148, -161724198233136, 101001738282536, -7279383444480, 0, 231759861052160, 291522059196092, -271816608254080, -496794969195730, 0, -94740925884280, -201888985317376, 36047407500432, -85465652498688, 0, -289616171182560, 157695584689600, 1206598260264320, 67895692116378, 0, -3982076765558, 844354842566704, 110248793131272, 71051860003968, 0, -234842494265792, -206876906054280, -930466937393664, -735033177434720, 0, -353865633222508, 173190546996224, 13360975511282, -227984741096336, 0, 332383474832640, 171732225980480, -254596956760328, -176824125402936, 0, -389689063639168, 355502288949024, -769726667729904, -232565480734720, 0, 52217219148864, 100477330381610, -419685251576736, -544619475794240, 0, 374422753395712, -290825801616000, 116037311060352, -124167789104464, 0, -430291069533440, 6350072103264, 710011006393920, 304218375940776, 0, 334073656047544, 565619816806464, 422105700874680, -228120871180576, 0, -73327071476736, 62380897325592, 47816339880960, 404260624975173, 0, 3889304304312, 234414750596352, -750146855453100, -188319353264224, 0, 48915268034560, 639841274670000, -530910105079480, 225197999976876, 0, 290774287343942, 56504734665680, -140615661723944, 50760651150720, 0, 343986505075584, -75280713188548, -399802067692736, 249652960790520, 0, -766592835445768, 86256402405888, -299126148392034, 242356404176824, 0, -159713859398464, 865893657252162, -791075871225248, 681477273273160, 0, -55690133843760, -958540221179016, -13898975907950, 41998995995264, 0, 178066121064384, 141507631992304, 486441189928960, 924284878414850, 0, -94117247650976, 209263900180224, 316048610231232, 668072488055504, 0, 215231302809600, 179333073828048, -336137429380368, 242620244130316, 0, -374107686059778, 596903316000544, 425430497930472, 413781144222208, 0, -1353746068646888, -213803166276348, 97039088956576, 45401732729056, 0, 28290737848296, -185818689369600, -1008838901320874, 557660636238720, 0, 599017822888960, -186050030853120, -78816524518424, 511162281100280, 0, 1495748108757012, -410950099688604, 43979802986472, 26670104476224, 0, -58574742674448, -241761611538336, -555075758885760, 597917619547216, 0, 78095468036892, -47118632791552, 396689395148986, -638470190706656, 0, 558338920441088, -364460998630740, 598448159128960, 53387456816078, 0, 310948537698912, -213467762601296, 1643533656499160, 221311660926720, 0, -328745819510640, -251709996095040, -353797335654016, 102931080764190, 0, -904399163602448, 84063291848704, -95869094937616, 831649161123704, 0, -44518858675968, 378094661518240, -641211806803680, 748183484127176, 0, -132786152908028, -248493574765800, 232219804805472, 187393586842944, 0, -303216601501408, 326674808239878, 388345376458752, -518511941280720, 0, -852868904316560, 962130522240320, 245486009763386, 184393616696576, 0, -99520769779200, -324277151021520, 524445257053312, -360293319307860, 0, -410772190344796, -148263858296736, -57268137400328, -46671845851136, 0, 188955762160704, 732635727648532, -40426431596544, -138659253308004, 0, 347859339652344, 56901807621120, 601896996080686, 459799830699944, 0, 480651494994880, 386726171452122, 195046104733760, 850987039416760, 0, 484873755682880, -72662287176864, 930032904828516, -7842393729536, 0, -1251732775293280, 6745345343568, 135621082679040, -58943233959078, 0, 1017151984784772, -716792602986368, -43498723588896, -561564260858720, 0, 85628000267264, -1254936624956898, 677620373573640, -329214252719464, 0, -712042974547648, -1105187039510176, -380433706745267, -106782431938560, 0, -357431762536408, 867492564260732, -278121469205824, 517027417275470, 0, -894634149179768, 1143820817027072, 117602344746480, 495481373803416, 0, 604249743680480, 335837260426248, 660002656426960, 198922675353680, 0, 56313689293092, 1086633235737784, -307998794312924, -185318144066272, 0, -532084404268032, -557519675496720, 1001805588725760, -1249050348339984, 0, 253863488880134, 286178362739200, -362047309438734, -327068085368640, 0, -190028759276160, -897543320168354, 44956500828848, 416007735279360, 0, 269489920634350, 172703249177984, 314795958285456, 1143765526900736, 0, 690702012635992, -281163470334384, -164309817603072, 58767219958470, 0, 498908329983000, -37395150119040, 234665612326992, -216315517239472, 0, -525410328428928, -1568155558568896, 1226701670617920, -184363298558880, 0, 968547670780962, -1632527484245056, 658597508741556, -509839276537696, 0, -579160970452120, 863857298819752, -281219350339200, -1553405893042790, 0, -624274586273616, 430880634537152, -63178273291056, -232137761326240, 0, 604740795200512, -47036692666002, 747965382039400, -550962741196780, 0, -46588545717216, -360619746499376, 100459607096792, -935016646663680, 0, 267805852921992, -173601240373204, -918003912212992, -94114020266720, 0, 1421103345651672, -21570602336256, -459849124410874, 369017941603136, 0, -384689196593264, 1907014257122180, -82855077922848, -59692407300504, 0, 406692778046408, -163667506198056, 316149562031832, -143857774016320, 0, -1174712300163808, -439447217299720, -275197927101440, 1236580552931730, 0, -655541187026188, -117657741871296, -829857597588800, -862568646764832, 0, -698737149734400, -418629035696698, -509923200647560, -462635780028928, 0, 1029269490416382, -220341896690552, -492772429475584, 1400639326736384, 0, -436122950011280, -994793466893160, 640366712513280, 418119821475468, 0, 172186455164360, 38900923824000, 1264431273252166, -486602536896000, 0, -40059924977856, 94768749949120, -86468673607008, -1838719631046176, 0, 1133255558413442, -411783898011136, 300821038528864, 761294617826784, 0, 650073214693392, 493427586844584, -501923471938560, 514353683122266, 0, -10515349553808, -429609279971456, 585798938915412, 311888178003584, 0, -1650683968389120, 254283127674408, -297320113407772, 427309583336460, 0, -363343158760928, 799756999519184, 196851810779960, -79181073861120, 0, 1348782799490952, 311114165601680, -317168623233216, -388701007626720, 0, -584782378944526, 383864189384192, -1838630750830688, 740477874304504, 0, -24860472945568, -821548722159660, 89487465224696, 1545084832927976, 0, -396928191830016, -1492502920711936, 673474214939516, -639894613417600, 0, -510115999297408, 1315663079959392, 413215298650112, -560048609615023, 0, -724763705793216, -180318064178560, 727133655588306, -860464729871040, 0, -149422619660160, -1817739444312080, 2157183300402200, 441245339198678, 0, 256641213753982, -1044554850058272, 92219618067720, 1601107740933120, 0, -446793783000992, -972135456250696, -894969683480416, -917685606222624, 0, -749984618086128, 268321665131520, 412236203081640, -2777410056273496, 0, -346528830476928, 376395446378122, -1637737571079008, 1173345644208400, 0, -219393725515360, 832503534430400, -1321414143847644, -424279283845632, 0, 1950255684667472, 93567201763728, -914308501196160, -704488126093884, 0, 498644688221732, 989730453658432, -465756560532128, -100395900269728, 0, -898061753335808, 34018523848604, -1235428570096280, -125671500274164, 0, 442387324528520, -923453533611840, -1819552033967008, 1149683098341120, 0, -772632541704576, 865640994071532, 147645811789168, -1633858261181410, 0, -329526727483288, 354526840356864, -1868544512659434, 312826431901760, 0, 1183224939465120, 98948542214496, -3604189340743712, 1725311211726616, 0, 1520290370031482, -94856548905552, -824109197093688, -1335889099329216, 0, -609094087096768, 849738202931072, 353890889459712, 396943245253800, 0, 1855560991816400, 57537255145984, 865540836658786, 416120853731968, 0, 164972316620160, 2127969408294822, 1983991948209152, 596938900293220, 0, 416817093110880, 2735317908546944, 136308212342512, -523599629975552, 0, -1832375342896168, -576580279737560, 459021110818144, -2421805305400250, 0, -449248372416848, 1064770724418240, 176087661311406, 1061809405770960, 0, -390447431549568, 139680660390348, 143867314340960, -1294150423689144, 0, 995417054286384, -2534264484142720, -908217651115888, -47671614976832, 0, -903132146981008, 858625574910840, -939952682242560, -617070969656636, 0, 34651726159414, 398129861034624, -138820397116134, 2110902501681120, 0, 1625180691986432, 415193090558880, -16709826497504, 682631548875340, 0, -329501332833818, -2268891806505296, -183450644084736, -710521718148480, 0, -1063304554140416, -660559232957908, 1313048859397824, -1519347549615170, 0, -365237096596928, -218953967504384, -576034805986068, -240319178713152, 0, 610546848834560, -51296430234198, -322029497190128, -816980936534462, 0, 723565133867152, 239157271205944, -2573819422455960, -609387318777216, 0, -592594768375036, 866420931365288, 16869461663744, -671787137040704, 0, -2381545620817868, 304847631353952, -791481166729176, -393626050470576, 0, 516002235033600, 2114756364933542, 1923998517603120, 72031352753712, 0, 205844760074622, -1192562213308256, 814104434455696, 2820717581800960, 0, 2558666455742712, -393329635051584, 480049091617280, -1389788119816730, 0, 213207116033832, 176825487928320, 957913626181326, 146545182325360, 0, 369768957203200, 1443655991540864, -1019514027319200, 1862878188879120, 0, 33232930569601, 149580432142344, 2694089218693200, 258514411480224, 0, 3163502201917344, 490564212581080, 485881022618880, -840953097934368, 0, 590404504606812, -414218326728128, 1222897268399680, -912284722148352, 0, -1797247136780288, 1941188952677182, 881100783112704, -868430776500840, 0, -36047031644650, -1119494344561992, 202624788958136, -1138265501237760, 0, 2108102282461672, 2229583417628040, -913753666464256, -1206803722189772, 0, -568888165009296, 1097838344601600, -1975669203552528, 805343350216664, 0, -509115260671360, 2359003965808722, 997770361400512, 465100812464496, 0, 597436167424362, 192321029862528, -171601836497630, 272087488003584, 0, 795224857267232, -1164597925322688, 1073142517730816, -1770458592115840, 0, 1222838155867840, 713339640136992, 27674655988032, -1163419283108320, 0, -1170247896840960, 305294884485360, -3115800683010120, 1263716410301940, 0, -208952282397408, -1929531669222976, 1548424476161592, 351312694849536, 0, -204410869711048, -3159619041930188, 9119748023904, 2005150944127136, 0, -61248473550726, -841948096174080, 388219341958406, -2040239117572376, 0, 1500317471640000, -1214556006780798, 662359465221440, 566807238831784, 0, -1909951848628368, -4181989477968176, 77147918236752, -508473042744320, 0, 2032850190770784, -686471966569320, -711696217397760, 646548703723280, 0, -1354679762076448, 585393149439840, 138460513783306, 5666613565248160, 0, 35719661125632, -1263650746283376, -581958212408440, 351973799001272, 0, -150076003691316, -852603172883280, -2167291984831624, 1636708699086720, 0, 1364432471755920, -886445202106800, 282180039029760, -523525261128804, 0, 1449665053043152, -435835422944768, -359708340852000, -1574345751840960, 0, 331810999154368, 2788413021310560, -2634038970995600, 1105657377929400, 0, -2344535401285958, 1428363440192304, 3556215875447596, 741079499852544, 0, -2333031117275936, 480549811723779, 1581331594895360, 847231999545906, 0, 1060098104438652, -1229348633820416, -4534371742573180, -915370584239384, 0, -1234972377932160, -2557726304659120, 1989853647900160, -778263583885700, 0, 474938681237692, -1835757337932672, 86995109423616, 2176042833422336, 0, 2397077414724160, -1065338787703892, 66336902540832, -2093751973635850, 0, -911393972426568, -1153780626700800, 167218939237312, 320569215541064, 0, -104846059788288, -3514767047570678, -158155456818240, -2626775470548024, 0, -817087344960348, 114464231620256, -192981118392648, 103125055278624, 0, -4167688229220208, 2889118245660704, -261879048668160, -1103294184922832, 0, 1394590351750872, 1402013728593472, -468065253030848, -188449838504928, 0, 488963337447424, -1095339715364240, 3304295150015720, -60829431296220, 0, -6023981556842100, 269023733421744, -152869436844306, -1238168605094400, 0, -2687059908934016, 643666229397840, 729120709087104, -1021240445390784, 0, 638559476424312, -1294806419422208, 2571990055350806, -5289903189884936, 0, -590216542567680, -330280749071854, 2835608291701472, 1767518886374736, 0, -986655848356009, 2377499228764184, 410402102887480, 485765486345216, 0, 1232098066521952, -818263292288640, 461984748450816, -453489853480270, 0, -1210655144138146, 1754361273125792, 1200166484158752, 1428525505489264, 0, -1110978179136000, 1946020635903502, -904013935546848, 3624133035253680, 0, 369995547108702, 707183527482880, -442007990419288, -74421259493376, 0, 1729721993367984, 143469039915264, -480623108330144, 706442838692640, 0, -781275300422968, -381504034544640, 290421848074406, -2322516670167680, 0, -760374009291840, 658395645671218, -2692937581094880, -682639142303580, 0, 1711798083802800, 5271360320993704, -879829410484248, -134283908386976, 0, 485140748219680, -3211554736792168, -390942956194560, 2067519175278736, 0, 2110279090478184, 702581782619904, 231248849444620, -2918306829247936, 0, 418064775073792, 78183360766782, 1915315046726592, 1129393407627700, 0, 2844050356347232, -2906582219876832, 3810487255684536, -96984423070080, 0, -5406723206103296, 972965936141248, 1136945358152960, 700615984728044, 0, -1466662316065288, 81382730872832, -841379510916048, 122594909639776, 0, -34178438458368, 1902970107207722, 1279434488388672, -960147995787520, 0, 1466614737577024, -1502055544775240, -271223302687524, -101997007036032, 0, -4069154970668480, 2378794070600592, 873466104053760, 1998689465184770, 0, -163853022816912, -771950661549088, 589473126469946, 3458357808827040, 0, 2286593874848640, -4998764221095040, 606743124879360, 2249948009421300, 0, 657674080003132, -831928243160952, -3498041490633488, 2886144901535488, 0, -848442798870912, -3207984597771628, -2097762832559456, -450235286882108, 0, -4221046095215248, 2215224256734720, 2522798834222246, -1479167052307840, 0, 787480472723616, 378356640821280, 957049030555072, 5503230333683520, 0, 944508213113392, -2030124462600696, 1560430082061690, 1560619553261824, 0, -4449311326660480, 4388758800159280, 1100864284692480, -2009609924556070, 0, 4187512278118452, -2928807713348928, -1472795197074528, -3799455128862176, 0, -713726568954880, -786020392392592, 3488522518374684, -216328479331008, 0, 5056343048161862, 5011535651181024, -1648352665517448, -93013449990720, 0, -920499224738968, -2500524880084536, -1365496382825600, 1316236612519550, 0, 514409412004208, -219187548602368, -1770495600845874, 3331855250760344, 0, -659279861473728, -2941474169346240, -1298424526710024, 5747701074281760, 0, -515602294685136, 5233131305780504, 1084394888932836, 550250401318464, 0, 2724031579391584, 2931014076994352, 5452331116110336, 303783581832192, 0, -742651658000328, -103895523880512, 2008275398839360, 2781361237859680, 0, 3377643070851840, 3601200642060382, -2799187904179968, -881570774061922, 0, 3246261186290240, 397954562965344, -1060622948776712, 4464777562972160, 0, 1022842936461920, 2199484721043560, -1463816271262272, -75350961463770, 0, -57816147432008, 480285023433600, -234091043614960, -2498977956824832, 0, 238333343021952, -2249283142425318, 6765502766925280, 659483980020216, 0, 991667894842802, 4774107043625024, 1788245600934916, 235560458020064, 0, -255619084455616, 2338537188055278, -854469647539200, -17315389438417, 0, -1004047960161128, -220681150970240, -8103558862278540, 1907171379875776, 0, -2148213159886848, -1516634682918602, -1400949382774200, -4180704223297740, 0, 651330966826848, -1075783449242656, 3971095202027352, 171424299150720, 0, 232085983321192, 722448622319544, 953624445074336, -737702501552448, 0, 3015723944137400, -3225923507179520, -391698786551434, 1688255849372400, 0, -1030427957806240, 2090369147668642, -2498857160975616, -130824708430256, 0, -2767728879087088, -1084774364364040, 3939079329933276, -467655387605120, 0, -3573178551383168, 1392569350290096, -5133710185175040, 142168347506136, 0, -845211659460308, -1084801139378176, 1144370981753506, 4319133160066704, 0, -985116172131840, 97480147728742, 4065334574233240, 5608376570108536, 0, 6274766628571022, -4821502256374720, -860027616608090, -6645265925391360, 0, 6957134490211192, 347055809541664, -872462989135360, -1921497302278720, 0, 1069135708700280, 1006763869440000, -4639547741656054, -7152977532144640, 0, 222216379191040, 326525601576328, -5396778436211680, 242439402057640, 0, -7364614928799248, -1321215608513472, 1702507555852788, 705373469653888, 0, -318472424039616, 109164490482152, -1344979064882880, 1009715201040480, 0, 489632104678780, -2606212848863616, 3554732929905312, 2543062579828064, 0, 4458176625423872, 3934944763557782, -260377039141856, -45827618452704, 0, 2645090790070432, 7777064737662864, -446565060024024, -1329274443114240, 0, 4554924462685352, 1147332723798040, -851977061922176, 2394585379818750, 0, -632927526771456, -581753361057792, 884366445062512, 4245250628799488, 0, 2249486831951696, -2626318564771238, -4588360062754160, 1361946966544080, 0, -2172806808576128, 4224756419868544, 639929336461360, -4311272105396096, 0, 601242382856640, -5283453064163168, -557481058101248, -9813261523095340, 0, -3445403667512488, 3622957539279392, -1163794381210020, -246010716382704, 0, 3087937077335040, 2656448913900960, -3366281515999248, -3496555972127780, 0, -8764754154599988, -4890313896746656, 4283548306758000, -1950605902479360, 0, -2237699889948096, -1724632916434582, -1699445930825472, 1256183063362976, 0, 2092532036647272, 427856149768320, 1076413196031326, -2619379118739824, 0, -4262285593559360, -5861969182006638, -11488970353810880, -147892976466600, 0, 353515717724624, 2290788341554664, 6994155526504996, -467273709534720, 0, -604149034323408, -2172701779220864, 924400930346880, -5845437244560870, 0, -3568979990094308, -2151814524935808, 614235984372192, -2815534755865216, 0, -4260007530397696, -1830904220709300, -9821109867131640, 362262170866596, 0, 1908205485280704, 482739153770496, -465966294944920, 3388422560853120, 0, -6756825777945208, -7258637679560720, -123636462499264, 84614722943422, 0, -1904885012899768, 4402865752848384, -2901392726430228, -5739544322585920, 0, 219398955859776, -523979041145758, 3155279694942480, 2136401896473960, 0], "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], 1, -28, 116, 272, 0, -3248, -2401, 6720, -6227, 0, -25548, 31552, 42306, 67228, 0, -327424, 526342, 174356, -350060, 0, -278516, 715344, 621976, 779520, 0, -1184568, -3005560, -653072, 6720430, 0, -6412208, 5727232, -2963568, -14737576, 0, -1693744, 2317682, 9801680, 4907496, 0, -10224678, 7798448, -30114004, -6949056, 0, -17415328, 23644912, -37981184, 5764801, 0, 61055672, 11507232, -57292654, 84155680, 0, -16134720, -40606960, -188172040, 84934780, 0, 14677822, 179541824, 14951027, 7278592, 0, 82979904, 244557812, 143165024, 72149216, 0, 61901952, -41845440, 283763726, -64895096, 0, -95216320, 61340748, -137409888, 276107480, 0, -226078919, 286290984, 72995956, -75756352, 0, 843192112, 779569880, -171682560, -896368470, 0, -101576706, 169177472, -743816128, -662057536, 0, 664358912, -1205809578, -161414428, 159087396, 0, -1460213338, -1709558816, -1080085304, 284296320, 0, 1604194312, -335949108, -817512320, -1425208050, 0, 268851112, 786145024, 2841779886, 1136994880, 0, 1827956960, -263439462, -2378173840, -1263747142, 0, -1705247387, -410979016, -1186062648, -1744120576, 0, -418628756, -3493393328, -3136143360, -3493224464, 0, -1846965388, -806090496, 840494060, -6847618736, 0, 3537018240, -1172376458, -2020178048, -4890013380, 0, 2742809792, -1733254656, -1080833688, 2038869248, 0, -7945384328, 668716916, 630409504, -8614877290, 0, 5489051312, -2352403200, -3277531634, -1717540944, 0, 1334838912, 1331104082, -7731009440, -6645947864, 0, -1493364376, 6330209732, -1410967884, -2781112416, 0, -2043886768, -248554568, -1871627520, -8814701737, 0, 2179823620, -8191009088, -16652203614, -21827956640, 0, 8365028352, 9852434480, 25098317160, 20295598140, 0, -13615912778, 2844147768, 1702627352, 4179678720, 0, 20826851584, -13446985416, 6431416064, 7216349560, 0, 1823569192, 844316672, -12374728434, 33762668184, 0, 1568025872, -19313746158, -4454447088, 15214537640, 0, 28368706192, 40885973464, -16135752430, 16607142784, 0, 30242388512, -3873044552, -13851999744, 8943332880, 0, -38962621508, -15583601888, 7180626432, 9406575024, 0, -20197363200, 15395711408, 39905825400, 32916592216, 0, 22267424652, -7527831136, -1083241584, -13751084032, 0, -79569836808, 49461826612, -11045093120, -43277649050, 0, 7115526768, 45161289600, 7553668326, 7376304936, 0, 23102260160, 32028467680, 35384919976, -27651590680, 0, -82600559358, 47746926836, 32933282876, 3992367584, 0, 33209754144, -14809638360, -43090037760, 8467530896, 0, 20181708732, 4066679344, -15890242848, 97815013184, 0, 84085374976, -28278089178, 97810284992, -5564754482, 0, -41848117610, 51715030864, -139139381944, -19915176960, 0, -23533833680, -103978742520, 66519724864, 5788827950, 0, -74690992848, -172337003008, -11782897896, 32826540824, 0, 19624586752, -22235508878, 136920374640, 39928819216, 0, -136057812678, -76798674176, 171083794396, 16837330944, 0, 30263343264, 24549451878, -35663473664, 158448024467, 0, -139873911048, 77183733472, -105732398534, -18724073648, 0, 15574823040, 76786046880, 241216564120, 26313316656, 0, 72303723604, -153693436736, -169384747208, 114618045440, 0, 91770885752, -174144032268, 16684683456, -125289895264, 0, -105907175208, 32978373120, 243557842126, -37270914296, 0, 75101234560, -183775651478, 186086540192, -171693545640, 0, -38970096528, 41814202528, -184251280520, -61493465968, 0, 39507100752, -165324133800, -68709836160, -56771433712, 0, -58176035148, 19854900032, -14432205814, 6959527904, 0, 91192822784, 340266945662, 246811648636, 329646466776, 0, 163819089984, -61035061360, -13841287201, -202366106880, 0, 466261701192, 502625456972, 212043007360, 71470985630, 0, -127153221360, -146319323136, 25509568326, -275868165440, 0, -243812223840, -146594668472, -568276747920, 149816052000, 0, -200145694179, 381245557784, -197808696892, -27628864032, 0, -47673565856, 459514446032, -203649869824, 63669069906, 0, 137559662254, -202317986816, 504229547746, 376515591648, 0, 158893808640, 284314511580, -202057787680, -96313556620, 0, -405233626048, -51059937376, -610834959424, -363792629760, 0, 346492396152, 187519902908, -327980205216, -649908405690, 0, 327372091792, 38739462720, -214247985008, 540784892424, 0, 43271771712, 367168169122, -426007053920, 97497310960, 0, -973984668078, -794323773376, -271274871648, -397178027936, 0, 451801068040, -59212139736, 410294115840, 358195592090, 0, -135995669128, -293783202688, -203928406780, 108445247456, 0, 242296276992, -567241552080, -250413320640, 484712362020, 0, 718297757782, 1090953402224, -147236867024, -385006634880, 0, -201057540096, -35241450622, -91378157376, -125376707808, 0, 827296769992, 984092477440, -873032109514, -431079919424, 0, -387656589600, -217728918560, -921664582048, 715060551160, 0, -35897415827, -623487890256, -589690593204, 73127502464, 0, 30330764352, -999325765640, -17475899392, -1064765335230, 0, 261220073544, 772964128992, 636729952192, -1384931145136, 0, -272878771200, -1542960483738, 1211774173400, -1581952461520, 0, -838679673458, -199234749504, 861818936016, -2200430072320, 0, -211502713128, -1469860542988, -71655533664, -587183306612, 0, 154408073512, 570761721600, 769352574192, -896797095040, 0, -343739222624, 356761356458, 774244539040, 2202271407680, 0, 98051854692, 2312815662024, -173230267616, -463827289264, 0, -922131920528, -1300725498728, 98634963840, -163672274544, 0, 688947010452, -322609040256, 3537244567060, 414669874080, 0, 2099510792192, -148626586752, -237090865088, 1767101084540, 0, -28832329888, -565087844496, -2635266922744, 100470901440, 0, 444926799744, -1022505401492, -950202985216, 2221506410590, 0, -681316706126, -748685099008, 1052126333600, 791786496984, 0, -950157054208, -604080211776, 155813125496, -1931655619224, 0, -1874409104918, 1171747293080, 1584119979916, -502374585536, 0, 3895902694432, -3375014383136, 970343288832, -1414298516887, 0, -528888875060, 228614384320, -432565227468, 2911404790560, 0, 1643428496640, 2354289384240, -162087182600, -147279135948, 0, 2798877271422, 2091347799744, -1579445882248, 3014482745344, 0, 329921141088, -1166061114828, -318886396576, -91398797594, 0, -2352553725800, 484842731520, -662934059480, 622594248584, 0, -1330083639360, -3290329718678, -1118006938048, -1274003053224, 0, -1559850308256, 3809618754984, 3638714903156, 746044263424, 0, -4790346243088, 542815484519, 415981117440, 4350091689210, 0, -4911356982828, -293986763136, 211534026272, -687384652584, 0, -45323792384, 1687577613302, -4436544685076, -1435468498344, 0, -175263290356, 3916469509344, 1463712724392, 1906892238720, 0, 2960507158952, 4827385512492, 181891001152, 2244657532480, 0, -2240394554328, -758864711168, 1120763350566, -2150009312640, 0, -2343246622880, 1764886366240, -736772866368, 1359444695600, 0, 950420630442, -2024504260912, -1522861495324, 1493021956864, 0, 4742772921824, -3359388479648, -2004874833920, -1871747281880, 0, 1000321647072, -891488604448, 2622572206386, 4876032903504, 0, 412209826560, 33528485382, 3508117067392, 5515873057500, 0, -1869386186560, 2965400905824, 2152180696470, -1606831970304, 0, -6819619579528, 1037426614080, 362060310304, 1219893379244, 0, 2724556984752, 1855442265600, -4519664094928, 5145718241384, 0, -1807697819008, 243885671106, 4807419277920, -385463455104, 0, 379136232642, 1091162702784, 5154462237476, -406195110272, 0, 5159035854560, 2680590842232, -1519250335680, -2169913759440, 0, 1785902523328, -383783264448, 6449857621786, 4629075746400, 0, 3347804969472, -1766996721802, 1589600143936, -2795492681220, 0, -493690839658, 1628928984144, 2583021259632, 490532824320, 0, 404101762792, 4179946169680, -67606842496, -125656023744, 0, -374988996456, -1595125747712, -2838053902754, -9527474478536, 0, -2397598872464, -7712363354998, -9230101069728, 2895148796778, 0, 5737571886992, -4586934519552, -10767675416724, 592912024640, 0, 387556041628, -5020207289800, 9860047645696, -2423823020124, 0, 2022979416612, -4529399383008, -381968837796, -14073512795216, 0, 5238709593600, -5381677467876, -2001187597640, 876225525816, 0, 866031095662, 3560290198080, -811327760920, -185953468416, 0, -714267913128, 3505972224538, 2679862178560, -3788338080170, 0, -1719321277960, -6023596118400, -3988239483008, 4104650717216, 0, 5520402694080, -3207584518880, -4194849456000, 816971982320, 0, 2593284814904, 5604079437012, -9581664885528, -3703528275616, 0, 5538643512976, -3132268610008, -682595464320, 8270172176293, 0, -15850265093368, 463114639744, 13319696835586, -12866404488896, 0, 3562200850432, -6247962980976, -1782733957368, -15670167623380, 0, -1717918049760, -3851670543112, -7911082812264, -4998444380160, 0, -14118427336888, -454545818012, -3657580033152, 806613808308, 0, -4015142763208, -7741911666688, 2341078212912, -7960806324240, 0, 1962847080320, -2840747650718, 2696779585360, -1843268170368, 0, -7104389630118, 11346541529344, 3421924528050, 496010820224, 0, 17103378863872, 3593250802680, 9753903497216, -4970519652910, 0, -3280258344648, -3365926134048, -11156469169734, -5250557281424, 0, -8103040364160, -645511519912, 18197435359320, 3579250780680, 0, -1581471069696, -9166418570176, -20198655590800, -1887534202624, 0, 5998943580224, 6237630464372, -5253338954976, -16140168305504, 0, -6823113506286, 1069067301120, 620959937532, -10280708735416, 0, 4138354238080, 1837992379602, -2729924706880, 12445310271904, 0, 5581686462690, 27271570706184, -7249595671848, 7716288084224, 0, 7595696406144, 671504042200, -9812633631360, 19220546703690, 0, -17031631065108, -4388924660960, -8664155170368, 1657939912608, 0, -19991092348928, 10541708240240, -10029476578520, 632518148262, 0, 13348486863462, 3807878735584, 17285784001096, -7258173242880, 0, 5709995389840, -16465102143348, -1053468118144, -5917861780770, 0, -2579319029848, 307928113152, 3034256887942, 15882763458240, 0, 2432586543360, 19272275876480, -13571946136560, 24038043287160, 0, 30657033409031, -20112337217896, -15782706270648, -10597833050176, 0, 4122632276672, 4094298976187, 18758989943296, 19845720149936, 0, 1441542579632, 1953130389504, -22644616125414, 986760617416, 0, -2257578005760, 12022330618542, 3510547818624, -9442583753140, 0, 2847736417848, -23164309559776, -8803796943024, -17213539409920, 0, 24444899066392, 18379970838172, 4187633502976, -7053993899040, 0, 10346262794472, -9577398096000, 7508576242206, 6096409719680, 0, 8953313082752, -6735131900198, -20021695432480, -12264958229944, 0, -7584736297278, 1005127643156, 17823441166196, 6056739505344, 0, 16511336609712, 24517675485752, 1806679472640, 8387637380528, 0, 5775864222612, -294641710848, -8277137894720, 27981121437920, 0, 7529880207360, 3052344732096, 29813429386440, -43092795009440, 0, -30155530091668, -7314162059232, 8387231938064, 19096760833920, 0, -17828438661376, 8142312182012, 13453616838464, 9092748455726, 0, -12696510319608, 13295693271040, -1864900683888, 43202893544664, 0, -11771520541600, 4434563896588, 44294668922560, -25357535942640, 0, -20200707743088, 23483030856824, 2618823981312, 1935423280896, 0, -24130930208448, 6725691188008, 38489461749760, 18961075181410, 0, -2018026238060, 2054597784672, -12285232324128, 41156095203664, 0, -1770313184640, -8655585863458, 16441132585136, 28252709686616, 0, 34233579327822, -4323426058336, -6359504323728, -27809685406720, 0, -21541872077376, -23859731716268, 8711743208960, 12004908192156, 0, -21317975571448, -8492380794240, 48348073880246, -9989317980824, 0, -7521232664960, -19916451294240, -61663599415040, 2814875875658, 0, 14676789274593, -2745451931376, 2091955095516, -22467352145376, 0, 4850447493248, 22802506810952, -11459262440640, -21373148540320, 0, 7623848664332, 8957852942272, 11740922125380, 36420313964384, 0, -4805871190528, -29701755754418, 4582823687232, 22900421671560, 0, 8874770527350, -19290516292656, 10829164339336, -7970340994560, 0, -99042847877680, -6585486310592, -4028221633920, -18730187751904, 0, 5295137796312, -36724202848256, -6748420077168, 4161544429056, 0, 2303168403712, -16421422524998, -49478830367120, -6965932311920, 0, 2595081684888, 807305236864, 44704741974760, 5489424775104, 0, 73787473836832, 20055866459240, -4895325064448, -24200727627630, 0, 39470965696792, -4322146054656, 12765420090586, 28630151241776, 0, -23475603164160, -17695763350122, -62202179496520, -23571523443820, 0, -38808329847778, 19076867771528, 19003014438144, -22088529215488, 0, -29459537340800, 11681003048880, -7691640256416, -1605589315316, 0, -6167973184928, -23474468398080, -24667929022714, 16914245929728, 0, -1513613219104, 7725554187124, 54086357338272, -43810773950640, 0, 58304553008752, 52483454937704, 20684320373290, -11382687989920, 0, -44355359437648, 8290634333080, -12411607407360, -26713049358550, 0, 12879276660692, -37845911888768, -9564494747214, 94500402727808, 0, -16973041483776, -13179212200112, 39600358472836, 2959109925816, 0, 5845268078502, 14808888501680, 41954010720136, 5648120083200, 0, 12111826369104, 30806023098744, -28282217965440, 18211542880270, 0, 7869353453234, -80074097036288, 15575819643260, -65920102758720, 0, 1574561202400, 17378662032000, 4123815806544, 3088166914536, 0, 14706567786112, -78368563599816, -23216900524764, -20315950054656, 0, 44224484702944, -11138863500128, 3831028670464, 10618575478849, 0, -28562749982828, -3204948227712, -48170814267534, 32649711215184, 0, -7878369797760, -26445638368018, 2559166332632, -3195980900882, 0, 53303675739712, 65871504322400, 18218428546336, -23623384899584, 0, 18562153665440, 30730883209680, -6048058414816, -77042260728650, 0, 37305530359224, -32860889913600, 15956920821464, 92129232122984, 0, 10860638826752, 99193216295482, 35672085490272, 58490627538536, 0, -29732269086800, 43675808631168, -69651988738124, -37007725048416, 0, -101884017288368, 3585567866776, 18431681802240, 44122448932010, 0, 32980483343280, 46534792075712, 27594019346592, -15198833566532, 0, -20268184731648, -11172372567920, -121802567297880, 128721047883704, 0, 3387733889484, 137517995519184, 21753360253456, -7263202383360, 0, -5922952735616, -14861459061856, 6677450910816, -70856855293184, 0, -97689925305248, 19528764702720, 65441976532006, -47252173172456, 0, 43097862655024, -37921764491820, 40193117953632, -5138118369320, 0, 90509445862240, 4907372129968, 32254719535036, -38045703805056, 0, -40983956282976, -75389375060040, -92911054221824, 596779517768, 0, 81031850232332, -28759212401248, 37975162647872, -135166794349776, 0, 4493777675520, 8582827811184, -62850410909440, 11501053471076, 0, -8541331114498, 62731047521184, 21164098870537, 13273902516224, 0, -31381373815848, 14058073231092, 20885804751360, -68714232771540, 0, 42591507618152, -57891975388800, -91380944847954, -49416818254720, 0, 7157222130432, -5233756511620, -38064451476800, 36411215261400, 0, -5342158290798, -26611777652376, -112982221497048, 19666612820288, 0, 42640121869072, 32581597219584, 36886424816640, -31467885111168, 0, 39981940877214, -46072651240576, -75289367230774, 94062877430144, 0, -2547943915520, -28762262507738, 52408923892640, -35634655764304, 0, -6868608209376, -28009006118016, -28400887759544, -22025012580480, 0, -73432021778808, 41550688682440, -47367176776896, 111278595821790, 0, 68911845329392, -20084433073152, 7300388203966, -938797590696, 0, -34078851511808, 72865682770442, -154444445610000, -23655695186480, 0, 149356767070292, 52342813223680, -72601792527528, -28806751656576, 0, -60261059501160, -202379055901720, 28106368131072, 20784221871730, 0, 30450113317260, 66247733058272, -48729731134140, -29047945194240, 0, 8945019431040, 56226633994320, -34157014618832, 94072820392700, 0, -51012980006868, -76287595573056, 83322539902712, -90404215531520, 0, 126550594657984, 32691806579978, -49986977202016, -71066201710720, 0, 65562762069024, -44660769646080, -85609907668720, -6828798790968, 0, -46700644414080, -11448900555038, 10792976742912, 5648409172080, 0, -4088008272152, -10615814513976, 148846008186436, -10599866255616, 0, -144324942649328, 6730351375176, -10035408606720, -118010541071990, 0, -9607990479348, -50116348301440, 95966425319072, -75056543582496, 0, 74023663974656, 188925113924462, 60757585264320, -101271724703624, 0, -84910686741578, -50005270653184, -44003502375784, -9481704180480, 0, -180596013410008, -51018768053188, -44968164393600, 32286211983816, 0, -25256554552960, -58559103031296, -61775785477428, 49475908210456, 0, -15441829969664, 82947023934560, 78273795074160, 96176342181960, 0, -188262868606918, 13823343510424, -17326455293560, -15823881560256, 0, -72324595269696, 104225243901712, -23900627897344, -68404108811664, 0, 103806507852744, -3925559981408, 193097257360832, -117038492751040, 0, -1670286696960, -4378389629992, 3518368664832, -45694088871024, 0, 53644840884830, 10499691900768, 145326963238160, -2027204329472, 0, 79465509277112, -123512778886680, 92552609220064, -21669397317120, 0, 29711722970034, -59234795672640, 30301528531104, 215946173939944, 0, 89663838963072, 52827394725280, -81064166309784, -34180322519824, 0, 72504445092882, -160652012835776, 158903975952160, 44558792475648, 0, 301494911668272, 135694826030792, 14648414726400, -124590089941953, 0, -178983416113608, -3764830118672, 32874972312106, 140565804114400, 0, -172469887356928, -118994830384298, 67867044563472, 46372304525358, 0, -186897546635018, -56643423665136, -97286842121128, -111902808286080, 0, 10695127458288, -99334329923560, 136714124296384, 99970996577856, 0, -14212662963048, -255249888389120, -36530104873640, 150686969100528, 0, 19440108091360, 89249212743744, -24534314722848, -241625098818760, 0, -170503822986608, -24248870678536, 9129253016272, -34585676209920, 0, 22717177305760, -68113263566992, 80122190561280, 50033906527650, 0, 38420837472952, 6938602584672, -8288785118614, -98167222287064, 0, 66208359705600, -60294851763300, 106073466244760, 89244898606272, 0, 38741941584430, 48140995782880, 127613519692256, 293492549921280, 0, 111670705524224, -154254755716668, -39873749824384, -145190520508330, 0, 172196509156240, 136386419500800, -248469088936114, 89812366528640, 0, 40749966144000, 255463483290880, -22875215504960, 192742087007560, 0, 47186271732624, -72611974817312, 11374015144272, -54439628816688, 0, 268286616794784, -90823663565288, -91498933868160, 9299179969352, 0, -277752312059388, -53803965554624, -162675873667334, 87703521080224, 0, 33258651385344, -151616093885696, -231564820936204, 163870002241220, 0, -150884157852448, 443807422614304, -21472942244880, 11441655805440, 0, -372951511396408, 8786097013668, 124987929320704, 120224339857116, 0, 174654067740952, 4527109537792, 79917853212432, 174942963467328, 0, 17317987014432, 93549254240708, 438764693454640, 410320369778960, 0, -81813869341238, 48101705393280, 21576751225836, 37416228133088, 0, 221510318743392, 100554812709472, 243543251894272, 350753923826130, 0, -17240684063232, 137150436986912, 241315206355186, 12727282904336, 0, -90363741995520, 204983725806640, -22585186632624, -112688560533660, 0, -96654184448800, 112423997369824, 1547749294936, 135419896643584, 0, -65550189961536, 29951873748984, 77333547149760, -305690963038304, 0, 114346366578792, 48493869043200, -471796373236740, 79540934220104, 0, -26197287400640, -23697552156396, 51611508770304, -36965103090608, 0, 54889147716299, 198922909643304, -17571749119244, -110223546285056, 0, -95813886785400, 257694743628440, 12254384970240, 124930061832240, 0, -400125378629508, -166147108963328, -79032737910616, -100611022475040, 0, -86847471484928, -385031270721220, 139174550281480, 79141186385140, 0, 152109089676512, 91847233650144, 116254836848936, -83158175076480, 0, 312381136752552, -53464086589452, 51005413590976, -310044358053410, 0, -70073304566016, 394810995267072, -258166744832474, 18074322557536, 0, -176775086347680, 103693271904378, -100219021859040, 98274696540920, 0, 2600863043184, 44281189951488, -217431456170488, 89045208967424, 0, 565562356542400, -275447979190048, 33016352760832, 183757917670256, 0, -204101215652028, -58275451922176, -72142195954422, -174653653002416, 0, -129788374181760, -25552964357360, 451924712554112, 457422935457780, 0, -391501668443776, 191047178176008, -373680584964704, -52089031547904, 0, -17386878250896, -164058627958892, 99869742001184, -118757845695412, 0, -69794685018728, 102241692940800, -255276577376800, -51463786628856, 0, 26519268581120, -67665785016278, -348468687613312, -50177566386288, 0, -114496466381598, -156287220955320, 103909635369050, -264923829717216, 0, 202988678811744, 179727039997992, 190637705610240, -242268232342550, 0, -126380689617780, -73786765088256, -274912148836014, -18802113181600, 0, 478108891981312, -17084379769968, -538175307703320, -373758226899380, 0, 400501454689782, 476885669823024, 324669763484952, -108432256329600, 0, 242596344770304, -111915173671588, -16105702008192, 84786288868606, 0, -18136357650726, 349679998459904, 38501528497152, -295167830726720, 0, 97429201048480, -362152831111238, -17710508151336, 220092885004920, 0, -135263089320048, -373757632176936, 367372414320032, -36990822002816, 0, -484001952030688, -44115074690320, 353645850576896, -634668224903676, 0, -147791498134368, -55468526644160, -272896232192800, 461022860013744, 0, -26026859389440, -291952321759378, 165700129861560, -76900350899680, 0, -140234282918976, 72220932835744, 353779395299216, -132677680988160, 0, -84959192862376, -239086251250748, -154289702165760, -261929368896410, 0, -381678247366648, 60099196953600, 66391469222680, -539623724541440, 0, 131841762469440, -147784354173984, -673065212040480, 176494227242576, 0, -222837894190277, -858396935452868, 83734378185432, 195376990116704, 0, 441915775578144, 198323943018558, -261828816533760, 422090928766096, 0, 313782746608200, -40048427830528, 463527062441506, -114640371333236, 0, -328128321353728, -362595107998618, -555680164198208, -44387626799900, 0, -79072812185276, -40363192229696, -78137717704728, 48253809623040, 0, 634049251511592, 504610635948360, -9585674569184, -329853803211330, 0, 570798243555400, 109997800737792, -569717410008048, -336625257319176, 0, -34102464523776, -768571608749596, 264392345087920, -11355365358584, 0, 65424609340922, -79736619699744, 90004723523516, 225024721437824, 0, 246506314404672, -34007047086936, -21876244971520, 35557941702360, 0, 195759003143032, -237464733787808, 104490862465666, -514639183468816, 0, 103459180661760, 77057433958518, 197511829173120, 54801386933984, 0, 361323880182702, -289695358245216, -20330541681296, 466647320563200, 0, -210240134781768, -307648411038908, -59222265848320, 169790676029472, 0, -568494259077968, 221199499691520, -22501669675474, 188583693205544, 0, 194496469915520, -48456282665532, 343418830438432, -501471931811320, 0, 559976719449072, 212372616323784, 307905994190712, -9764097104944, 0, -499056352653488, 260380273767680, 149637093661440, 98641275303460, 0, 38152473078048, -160395841351488, 120266697325866, -686494913601056, 0, -88028306495488, -71034324154698, -234853846654784, 130008548665656, 0, -49598558432148, -161724198233136, 101001738282536, -7279383444480, 0, 231759861052160, 291522059196092, -271816608254080, -496794969195730, 0, -94740925884280, -201888985317376, 36047407500432, -85465652498688, 0, -289616171182560, 157695584689600, 1206598260264320, 67895692116378, 0, -3982076765558, 844354842566704, 110248793131272, 71051860003968, 0, -234842494265792, -206876906054280, -930466937393664, -735033177434720, 0, -353865633222508, 173190546996224, 13360975511282, -227984741096336, 0, 332383474832640, 171732225980480, -254596956760328, -176824125402936, 0, -389689063639168, 355502288949024, -769726667729904, -232565480734720, 0, 52217219148864, 100477330381610, -419685251576736, -544619475794240, 0, 374422753395712, -290825801616000, 116037311060352, -124167789104464, 0, -430291069533440, 6350072103264, 710011006393920, 304218375940776, 0, 334073656047544, 565619816806464, 422105700874680, -228120871180576, 0, -73327071476736, 62380897325592, 47816339880960, 404260624975173, 0, 3889304304312, 234414750596352, -750146855453100, -188319353264224, 0, 48915268034560, 639841274670000, -530910105079480, 225197999976876, 0, 290774287343942, 56504734665680, -140615661723944, 50760651150720, 0, 343986505075584, -75280713188548, -399802067692736, 249652960790520, 0, -766592835445768, 86256402405888, -299126148392034, 242356404176824, 0, -159713859398464, 865893657252162, -791075871225248, 681477273273160, 0, -55690133843760, -958540221179016, -13898975907950, 41998995995264, 0, 178066121064384, 141507631992304, 486441189928960, 924284878414850, 0, -94117247650976, 209263900180224, 316048610231232, 668072488055504, 0, 215231302809600, 179333073828048, -336137429380368, 242620244130316, 0, -374107686059778, 596903316000544, 425430497930472, 413781144222208, 0, -1353746068646888, -213803166276348, 97039088956576, 45401732729056, 0, 28290737848296, -185818689369600, -1008838901320874, 557660636238720, 0, 599017822888960, -186050030853120, -78816524518424, 511162281100280, 0, 1495748108757012, -410950099688604, 43979802986472, 26670104476224, 0, -58574742674448, -241761611538336, -555075758885760, 597917619547216, 0, 78095468036892, -47118632791552, 396689395148986, -638470190706656, 0, 558338920441088, -364460998630740, 598448159128960, 53387456816078, 0, 310948537698912, -213467762601296, 1643533656499160, 221311660926720, 0, -328745819510640, -251709996095040, -353797335654016, 102931080764190, 0, -904399163602448, 84063291848704, -95869094937616, 831649161123704, 0, -44518858675968, 378094661518240, -641211806803680, 748183484127176, 0, -132786152908028, -248493574765800, 232219804805472, 187393586842944, 0, -303216601501408, 326674808239878, 388345376458752, -518511941280720, 0, -852868904316560, 962130522240320, 245486009763386, 184393616696576, 0, -99520769779200, -324277151021520, 524445257053312, -360293319307860, 0, -410772190344796, -148263858296736, -57268137400328, -46671845851136, 0, 188955762160704, 732635727648532, -40426431596544, -138659253308004, 0, 347859339652344, 56901807621120, 601896996080686, 459799830699944, 0, 480651494994880, 386726171452122, 195046104733760, 850987039416760, 0, 484873755682880, -72662287176864, 930032904828516, -7842393729536, 0, -1251732775293280, 6745345343568, 135621082679040, -58943233959078, 0, 1017151984784772, -716792602986368, -43498723588896, -561564260858720, 0, 85628000267264, -1254936624956898, 677620373573640, -329214252719464, 0, -712042974547648, -1105187039510176, -380433706745267, -106782431938560, 0, -357431762536408, 867492564260732, -278121469205824, 517027417275470, 0, -894634149179768, 1143820817027072, 117602344746480, 495481373803416, 0, 604249743680480, 335837260426248, 660002656426960, 198922675353680, 0, 56313689293092, 1086633235737784, -307998794312924, -185318144066272, 0, -532084404268032, -557519675496720, 1001805588725760, -1249050348339984, 0, 253863488880134, 286178362739200, -362047309438734, -327068085368640, 0, -190028759276160, -897543320168354, 44956500828848, 416007735279360, 0, 269489920634350, 172703249177984, 314795958285456, 1143765526900736, 0, 690702012635992, -281163470334384, -164309817603072, 58767219958470, 0, 498908329983000, -37395150119040, 234665612326992, -216315517239472, 0, -525410328428928, -1568155558568896, 1226701670617920, -184363298558880, 0, 968547670780962, -1632527484245056, 658597508741556, -509839276537696, 0, -579160970452120, 863857298819752, -281219350339200, -1553405893042790, 0, -624274586273616, 430880634537152, -63178273291056, -232137761326240, 0, 604740795200512, -47036692666002, 747965382039400, -550962741196780, 0, -46588545717216, -360619746499376, 100459607096792, -935016646663680, 0, 267805852921992, -173601240373204, -918003912212992, -94114020266720, 0, 1421103345651672, -21570602336256, -459849124410874, 369017941603136, 0, -384689196593264, 1907014257122180, -82855077922848, -59692407300504, 0, 406692778046408, -163667506198056, 316149562031832, -143857774016320, 0, -1174712300163808, -439447217299720, -275197927101440, 1236580552931730, 0, -655541187026188, -117657741871296, -829857597588800, -862568646764832, 0, -698737149734400, -418629035696698, -509923200647560, -462635780028928, 0, 1029269490416382, -220341896690552, -492772429475584, 1400639326736384, 0, -436122950011280, -994793466893160, 640366712513280, 418119821475468, 0, 172186455164360, 38900923824000, 1264431273252166, -486602536896000, 0, -40059924977856, 94768749949120, -86468673607008, -1838719631046176, 0, 1133255558413442, -411783898011136, 300821038528864, 761294617826784, 0, 650073214693392, 493427586844584, -501923471938560, 514353683122266, 0, -10515349553808, -429609279971456, 585798938915412, 311888178003584, 0, -1650683968389120, 254283127674408, -297320113407772, 427309583336460, 0, -363343158760928, 799756999519184, 196851810779960, -79181073861120, 0, 1348782799490952, 311114165601680, -317168623233216, -388701007626720, 0, -584782378944526, 383864189384192, -1838630750830688, 740477874304504, 0, -24860472945568, -821548722159660, 89487465224696, 1545084832927976, 0, -396928191830016, -1492502920711936, 673474214939516, -639894613417600, 0, -510115999297408, 1315663079959392, 413215298650112, -560048609615023, 0, -724763705793216, -180318064178560, 727133655588306, -860464729871040, 0, -149422619660160, -1817739444312080, 2157183300402200, 441245339198678, 0, 256641213753982, -1044554850058272, 92219618067720, 1601107740933120, 0, -446793783000992, -972135456250696, -894969683480416, -917685606222624, 0, -749984618086128, 268321665131520, 412236203081640, -2777410056273496, 0, -346528830476928, 376395446378122, -1637737571079008, 1173345644208400, 0, -219393725515360, 832503534430400, -1321414143847644, -424279283845632, 0, 1950255684667472, 93567201763728, -914308501196160, -704488126093884, 0, 498644688221732, 989730453658432, -465756560532128, -100395900269728, 0, -898061753335808, 34018523848604, -1235428570096280, -125671500274164, 0, 442387324528520, -923453533611840, -1819552033967008, 1149683098341120, 0, -772632541704576, 865640994071532, 147645811789168, -1633858261181410, 0, -329526727483288, 354526840356864, -1868544512659434, 312826431901760, 0, 1183224939465120, 98948542214496, -3604189340743712, 1725311211726616, 0, 1520290370031482, -94856548905552, -824109197093688, -1335889099329216, 0, -609094087096768, 849738202931072, 353890889459712, 396943245253800, 0, 1855560991816400, 57537255145984, 865540836658786, 416120853731968, 0, 164972316620160, 2127969408294822, 1983991948209152, 596938900293220, 0, 416817093110880, 2735317908546944, 136308212342512, -523599629975552, 0, -1832375342896168, -576580279737560, 459021110818144, -2421805305400250, 0, -449248372416848, 1064770724418240, 176087661311406, 1061809405770960, 0, -390447431549568, 139680660390348, 143867314340960, -1294150423689144, 0, 995417054286384, -2534264484142720, -908217651115888, -47671614976832, 0, -903132146981008, 858625574910840, -939952682242560, -617070969656636, 0, 34651726159414, 398129861034624, -138820397116134, 2110902501681120, 0, 1625180691986432, 415193090558880, -16709826497504, 682631548875340, 0, -329501332833818, -2268891806505296, -183450644084736, -710521718148480, 0, -1063304554140416, -660559232957908, 1313048859397824, -1519347549615170, 0, -365237096596928, -218953967504384, -576034805986068, -240319178713152, 0, 610546848834560, -51296430234198, -322029497190128, -816980936534462, 0, 723565133867152, 239157271205944, -2573819422455960, -609387318777216, 0, -592594768375036, 866420931365288, 16869461663744, -671787137040704, 0, -2381545620817868, 304847631353952, -791481166729176, -393626050470576, 0, 516002235033600, 2114756364933542, 1923998517603120, 72031352753712, 0, 205844760074622, -1192562213308256, 814104434455696, 2820717581800960, 0, 2558666455742712, -393329635051584, 480049091617280, -1389788119816730, 0, 213207116033832, 176825487928320, 957913626181326, 146545182325360, 0, 369768957203200, 1443655991540864, -1019514027319200, 1862878188879120, 0, 33232930569601, 149580432142344, 2694089218693200, 258514411480224, 0, 3163502201917344, 490564212581080, 485881022618880, -840953097934368, 0, 590404504606812, -414218326728128, 1222897268399680, -912284722148352, 0, -1797247136780288, 1941188952677182, 881100783112704, -868430776500840, 0, -36047031644650, -1119494344561992, 202624788958136, -1138265501237760, 0, 2108102282461672, 2229583417628040, -913753666464256, -1206803722189772, 0, -568888165009296, 1097838344601600, -1975669203552528, 805343350216664, 0, -509115260671360, 2359003965808722, 997770361400512, 465100812464496, 0, 597436167424362, 192321029862528, -171601836497630, 272087488003584, 0, 795224857267232, -1164597925322688, 1073142517730816, -1770458592115840, 0, 1222838155867840, 713339640136992, 27674655988032, -1163419283108320, 0, -1170247896840960, 305294884485360, -3115800683010120, 1263716410301940, 0, -208952282397408, -1929531669222976, 1548424476161592, 351312694849536, 0, -204410869711048, -3159619041930188, 9119748023904, 2005150944127136, 0, -61248473550726, -841948096174080, 388219341958406, -2040239117572376, 0, 1500317471640000, -1214556006780798, 662359465221440, 566807238831784, 0, -1909951848628368, -4181989477968176, 77147918236752, -508473042744320, 0, 2032850190770784, -686471966569320, -711696217397760, 646548703723280, 0, -1354679762076448, 585393149439840, 138460513783306, 5666613565248160, 0, 35719661125632, -1263650746283376, -581958212408440, 351973799001272, 0, -150076003691316, -852603172883280, -2167291984831624, 1636708699086720, 0, 1364432471755920, -886445202106800, 282180039029760, -523525261128804, 0, 1449665053043152, -435835422944768, -359708340852000, -1574345751840960, 0, 331810999154368, 2788413021310560, -2634038970995600, 1105657377929400, 0, -2344535401285958, 1428363440192304, 3556215875447596, 741079499852544, 0, -2333031117275936, 480549811723779, 1581331594895360, 847231999545906, 0, 1060098104438652, -1229348633820416, -4534371742573180, -915370584239384, 0, -1234972377932160, -2557726304659120, 1989853647900160, -778263583885700, 0, 474938681237692, -1835757337932672, 86995109423616, 2176042833422336, 0, 2397077414724160, -1065338787703892, 66336902540832, -2093751973635850, 0, -911393972426568, -1153780626700800, 167218939237312, 320569215541064, 0, -104846059788288, -3514767047570678, -158155456818240, -2626775470548024, 0, -817087344960348, 114464231620256, -192981118392648, 103125055278624, 0, -4167688229220208, 2889118245660704, -261879048668160, -1103294184922832, 0, 1394590351750872, 1402013728593472, -468065253030848, -188449838504928, 0, 488963337447424, -1095339715364240, 3304295150015720, -60829431296220, 0, -6023981556842100, 269023733421744, -152869436844306, -1238168605094400, 0, -2687059908934016, 643666229397840, 729120709087104, -1021240445390784, 0, 638559476424312, -1294806419422208, 2571990055350806, -5289903189884936, 0, -590216542567680, -330280749071854, 2835608291701472, 1767518886374736, 0, -986655848356009, 2377499228764184, 410402102887480, 485765486345216, 0, 1232098066521952, -818263292288640, 461984748450816, -453489853480270, 0, -1210655144138146, 1754361273125792, 1200166484158752, 1428525505489264, 0, -1110978179136000, 1946020635903502, -904013935546848, 3624133035253680, 0, 369995547108702, 707183527482880, -442007990419288, -74421259493376, 0, 1729721993367984, 143469039915264, -480623108330144, 706442838692640, 0, -781275300422968, -381504034544640, 290421848074406, -2322516670167680, 0, -760374009291840, 658395645671218, -2692937581094880, -682639142303580, 0, 1711798083802800, 5271360320993704, -879829410484248, -134283908386976, 0, 485140748219680, -3211554736792168, -390942956194560, 2067519175278736, 0, 2110279090478184, 702581782619904, 231248849444620, -2918306829247936, 0, 418064775073792, 78183360766782, 1915315046726592, 1129393407627700, 0, 2844050356347232, -2906582219876832, 3810487255684536, -96984423070080, 0, -5406723206103296, 972965936141248, 1136945358152960, 700615984728044, 0, -1466662316065288, 81382730872832, -841379510916048, 122594909639776, 0, -34178438458368, 1902970107207722, 1279434488388672, -960147995787520, 0, 1466614737577024, -1502055544775240, -271223302687524, -101997007036032, 0, -4069154970668480, 2378794070600592, 873466104053760, 1998689465184770, 0, -163853022816912, -771950661549088, 589473126469946, 3458357808827040, 0, 2286593874848640, -4998764221095040, 606743124879360, 2249948009421300, 0, 657674080003132, -831928243160952, -3498041490633488, 2886144901535488, 0, -848442798870912, -3207984597771628, -2097762832559456, -450235286882108, 0, -4221046095215248, 2215224256734720, 2522798834222246, -1479167052307840, 0, 787480472723616, 378356640821280, 957049030555072, 5503230333683520, 0, 944508213113392, -2030124462600696, 1560430082061690, 1560619553261824, 0, -4449311326660480, 4388758800159280, 1100864284692480, -2009609924556070, 0, 4187512278118452, -2928807713348928, -1472795197074528, -3799455128862176, 0, -713726568954880, -786020392392592, 3488522518374684, -216328479331008, 0, 5056343048161862, 5011535651181024, -1648352665517448, -93013449990720, 0, -920499224738968, -2500524880084536, -1365496382825600, 1316236612519550, 0, 514409412004208, -219187548602368, -1770495600845874, 3331855250760344, 0, -659279861473728, -2941474169346240, -1298424526710024, 5747701074281760, 0, -515602294685136, 5233131305780504, 1084394888932836, 550250401318464, 0, 2724031579391584, 2931014076994352, 5452331116110336, 303783581832192, 0, -742651658000328, -103895523880512, 2008275398839360, 2781361237859680, 0, 3377643070851840, 3601200642060382, -2799187904179968, -881570774061922, 0, 3246261186290240, 397954562965344, -1060622948776712, 4464777562972160, 0, 1022842936461920, 2199484721043560, -1463816271262272, -75350961463770, 0, -57816147432008, 480285023433600, -234091043614960, -2498977956824832, 0, 238333343021952, -2249283142425318, 6765502766925280, 659483980020216, 0, 991667894842802, 4774107043625024, 1788245600934916, 235560458020064, 0, -255619084455616, 2338537188055278, -854469647539200, -17315389438417, 0, -1004047960161128, -220681150970240, -8103558862278540, 1907171379875776, 0, -2148213159886848, -1516634682918602, -1400949382774200, -4180704223297740, 0, 651330966826848, -1075783449242656, 3971095202027352, 171424299150720, 0, 232085983321192, 722448622319544, 953624445074336, -737702501552448, 0, 3015723944137400, -3225923507179520, -391698786551434, 1688255849372400, 0, -1030427957806240, 2090369147668642, -2498857160975616, -130824708430256, 0, -2767728879087088, -1084774364364040, 3939079329933276, -467655387605120, 0, -3573178551383168, 1392569350290096, -5133710185175040, 142168347506136, 0, -845211659460308, -1084801139378176, 1144370981753506, 4319133160066704, 0, -985116172131840, 97480147728742, 4065334574233240, 5608376570108536, 0, 6274766628571022, -4821502256374720, -860027616608090, -6645265925391360, 0, 6957134490211192, 347055809541664, -872462989135360, -1921497302278720, 0, 1069135708700280, 1006763869440000, -4639547741656054, -7152977532144640, 0, 222216379191040, 326525601576328, -5396778436211680, 242439402057640, 0, -7364614928799248, -1321215608513472, 1702507555852788, 705373469653888, 0, -318472424039616, 109164490482152, -1344979064882880, 1009715201040480, 0, 489632104678780, -2606212848863616, 3554732929905312, 2543062579828064, 0, 4458176625423872, 3934944763557782, -260377039141856, -45827618452704, 0, 2645090790070432, 7777064737662864, -446565060024024, -1329274443114240, 0, 4554924462685352, 1147332723798040, -851977061922176, 2394585379818750, 0, -632927526771456, -581753361057792, 884366445062512, 4245250628799488, 0, 2249486831951696, -2626318564771238, -4588360062754160, 1361946966544080, 0, -2172806808576128, 4224756419868544, 639929336461360, -4311272105396096, 0, 601242382856640, -5283453064163168, -557481058101248, -9813261523095340, 0, -3445403667512488, 3622957539279392, -1163794381210020, -246010716382704, 0, 3087937077335040, 2656448913900960, -3366281515999248, -3496555972127780, 0, -8764754154599988, -4890313896746656, 4283548306758000, -1950605902479360, 0, -2237699889948096, -1724632916434582, -1699445930825472, 1256183063362976, 0, 2092532036647272, 427856149768320, 1076413196031326, -2619379118739824, 0, -4262285593559360, -5861969182006638, -11488970353810880, -147892976466600, 0, 353515717724624, 2290788341554664, 6994155526504996, -467273709534720, 0, -604149034323408, -2172701779220864, 924400930346880, -5845437244560870, 0, -3568979990094308, -2151814524935808, 614235984372192, -2815534755865216, 0, -4260007530397696, -1830904220709300, -9821109867131640, 362262170866596, 0, 1908205485280704, 482739153770496, -465966294944920, 3388422560853120, 0, -6756825777945208, -7258637679560720, -123636462499264, 84614722943422, 0, -1904885012899768, 4402865752848384, -2901392726430228, -5739544322585920, 0, 219398955859776, -523979041145758, 3155279694942480, 2136401896473960, 0]}