# Stored data for newform 315.10.a.a, downloaded from the LMFDB on 06 November 2024. {"Nk2": 31500, "analytic_conductor": 162.23628839162004, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, -1]], "atkin_lehner_string": "-+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [315, 1, [281, 127, 136], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [28, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 167772475, "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": "315.10.a.a", "level": 315, "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": [3, 5, 7], "level_radical": 105, "minimal_twist": "35.10.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-28q^{2}+272q^{4}-5^{4}q^{5}+7^{4}q^{7}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "315.10.a", "trace_display": [-28, 0, -625, 2401], "trace_hash": 1858504215663033391, "trace_moments": [{"__RealLiteral__": 0, "data": "0.003", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.898", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.623", "prec": 17}], "trace_zratio": 0, "traces": [0, 1, -28, 0, 272, -625, 0, 2401, 6720, 0, 17500, 25548, 0, -42306, -67228, 0, -327424, 526342, 0, -350060, -170000, 0, -715344, 621976, 0, 390625, 1184568, 0, 653072, -6720430, 0, -6412208, 5727232, 0, -14737576, -1500625, 0, -2317682, 9801680, 0, -4200000, 10224678, 0, 30114004, 6949056, 0, -17415328, 23644912, 0, 5764801, -10937500, 0, -11507232, -57292654, 0, -15967500, 16134720, 0, 188172040, -84934780, 0, 14677822, 179541824, 0, 7278592, 26441250, 0, -244557812, 143165024, 0, 42017500, -61901952, 0, -283763726, 64895096, 0, -95216320, 61340748, 0, 276107480, 204640000, 0, -286290984, 72995956, 0, -328963750, -843192112, 0, 171682560, 896368470, 0, -101576706, 169177472, 0, -662057536, 218787500, 0, 1205809578, -161414428, 0, 106250000, 1460213338, 0, 1080085304, -284296320, 0, 1604194312, -335949108, 0, -1425208050, 447090000, 0, -786145024, 2841779886, 0, -388735000, -1827956960, 0, 2378173840, 1263747142, 0, -1705247387, -410979016, 0, -1744120576, -244140625, 0, 3493393328, -3136143360, 0, -740355000, 1846965388, 0, -840494060, 6847618736, 0, 3537018240, -1172376458, 0, -4890013380, -408170000, 0, 1733254656, -1080833688, 0, 4200268750, 7945384328, 0, -630409504, 8614877290, 0, 5489051312, -2352403200, 0, -1717540944, 4007630000, 0, -1331104082, -7731009440, 0, -3579520000, 1493364376, 0, 1410967884, 2781112416, 0, -2043886768, -248554568, 0, -8814701737, 9210985000, 0, 8191009088, -16652203614, 0, 937890625, -8365028352, 0, -25098317160, -20295598140, 0, -13615912778, 2844147768, 0, 4179678720, 1448551250, 0, 13446985416, 6431416064, 0, -6126050000, -1823569192, 0, 12374728434, -33762668184, 0, 1568025872, -19313746158, 0, 15214537640, 2625000000, 0, -40885973464, -16135752430, 0, -6390423750, -30242388512, 0, 13851999744, -8943332880, 0, -38962621508, -15583601888, 0, 9406575024, -18821252500, 0, -15395711408, 39905825400, 0, -4343160000, -22267424652, 0, 1083241584, 13751084032, 0, -79569836808, 49461826612, 0, -43277649050, 10884580000, 0, -45161289600, 7553668326, 0, -14778070000, -23102260160, 0, -35384919976, 27651590680, 0, -82600559358, 47746926836, 0, 3992367584, -3603000625, 0, 14809638360, -43090037760, 0, 6835937500, -20181708732, 0, 15890242848, -97815013184, 0, 84085374976, -28278089178, 0, -5564754482, 7192020000, 0, -51715030864, -139139381944, 0, 35807908750, 23533833680, 0, -66519724864, -5788827950, 0, -74690992848, -172337003008, 0, 32826540824, 9979687500, 0, 22235508878, 136920374640, 0, -10084200000, 136057812678, 0, -171083794396, -16837330944, 0, 30263343264, 24549451878, 0, 158448024467, -117607525000, 0, -77183733472, -105732398534, 0, 53084237500, -15574823040, 0, -241216564120, -26313316656, 0, 72303723604, -153693436736, 0, 114618045440, -9173638750, 0, 174144032268, 16684683456, 0, -112213640000, 105907175208, 0, -243557842126, 37270914296, 0, 75101234560, -183775651478, 0, -171693545640, -4549120000, 0, -41814202528, -184251280520, 0, -16525781250, -39507100752, 0, 68709836160, 56771433712, 0, -58176035148, 19854900032, 0, 6959527904, 152848632500, 0, -340266945662, 246811648636, 0, -89478140000, -163819089984, 0, 13841287201, 202366106880, 0, 466261701192, 502625456972, 0, 71470985630, -26260937500, 0, 146319323136, 25509568326, 0, 38688720000, 243812223840, 0, 568276747920, -149816052000, 0, -200145694179, 381245557784, 0, -27628864032, 177352328750, 0, -459514446032, -203649869824, 0, -40559435000, -137559662254, 0, -504229547746, -376515591648, 0, 158893808640, 284314511580, 0, -96313556620, 59510200000, 0, 51059937376, -610834959424, 0, -38337967500, -346492396152, 0, 327980205216, 649908405690, 0, 327372091792, 38739462720, 0, 540784892424, -172567175000, 0, -367168169122, -426007053920, 0, -127900000000, 973984668078, 0, 271274871648, 397178027936, 0, 451801068040, -59212139736, 0, 358195592090, 178931865000, 0, 293783202688, -203928406780, 0, -45622472500, -242296276992, 0, 250413320640, -484712362020, 0, 718297757782, 1090953402224, 0, -385006634880, 205602343750, 0, 35241450622, -91378157376, 0, 526995070000, -827296769992, 0, 873032109514, 431079919424, 0, -387656589600, -217728918560, 0, 715060551160, -107301600000, 0, 623487890256, -589690593204, 0, -560230293750, -30330764352, 0, 17475899392, 1064765335230, 0, 261220073544, 772964128992, 0, -1384931145136, 63485441250, 0, 1542960483738, 1211774173400, 0, -105735920000, 838679673458, 0, -861818936016, 2200430072320, 0, -211502713128, -1469860542988, 0, -587183306612, 413785960000, 0, -570761721600, 769352574192, 0, -136742187500, 343739222624, 0, -774244539040, -2202271407680, 0, 98051854692, 2312815662024, 0, -463827289264, -753630986250, 0, 1300725498728, 98634963840, 0, 100884017500, -688947010452, 0, -3537244567060, -414669874080, 0, 2099510792192, -148626586752, 0, 1767101084540, -66406250000, 0, 565087844496, -2635266922744, 0, -912633336250, -444926799744, 0, 950202985216, -2221506410590, 0, -681316706126, -748685099008, 0, 791786496984, -675053315000, 0, 604080211776, 155813125496, 0, 177685200000, 1874409104918, 0, -1584119979916, 502374585536, 0, 3895902694432, -3375014383136, 0, -1414298516887, -1002621445000, 0, -228614384320, -432565227468, 0, 209968192500, -1643428496640, 0, 162087182600, 147279135948, 0, 2798877271422, 2091347799744, 0, 3014482745344, 890755031250, 0, 1166061114828, -318886396576, 0, -279431250000, 2352553725800, 0, 662934059480, -622594248584, 0, -1330083639360, -3290329718678, 0, -1274003053224, 491340640000, 0, -3809618754984, 3638714903156, 0, -1776112428750, 4790346243088, 0, -415981117440, -4350091689210, 0, -4911356982828, -293986763136, 0, -687384652584, 242959375000, 0, -1687577613302, -4436544685076, 0, 1142473100000, 175263290356, 0, -1463712724392, -1906892238720, 0, 2960507158952, 4827385512492, 0, 2244657532480, -1486358650000, 0, 758864711168, 1120763350566, 0, -789841963750, 2343246622880, 0, 736772866368, -1359444695600, 0, 950420630442, -2024504260912, 0, 1493021956864, 1065779616875, 0, 3359388479648, -2004874833920, 0, 256861885000, -1000321647072, 0, -2622572206386, -4876032903504, 0, 412209826560, 33528485382, 0, 5515873057500, 1090075360000, 0, -2965400905824, 2152180696470, 0, 152587890625, 6819619579528, 0, -362060310304, -1219893379244, 0, 2724556984752, 1855442265600, 0, 5145718241384, -2183370830000, 0, -243885671106, 4807419277920, 0, 1960089600000, -379136232642, 0, -5154462237476, 406195110272, 0, 5159035854560, 2680590842232, 0, -2169913759440, 462721875000, 0, 383783264448, 6449857621786, 0, -1154353367500, -3347804969472, 0, -1589600143936, 2795492681220, 0, -493690839658, 1628928984144, 0, 490532824320, 525308787500, 0, -4179946169680, -67606842496, 0, -4279761710000, 374988996456, 0, 2838053902754, 9527474478536, 0, -2397598872464, -7712363354998, 0, 2895148796778, -2210636400000, 0, 4586934519552, -10767675416724, 0, 732735286250, -387556041628, 0, -9860047645696, 2423823020124, 0, 2022979416612, -4529399383008, 0, -14073512795216, 3056258362500, 0, 5381677467876, -2001187597640, 0, 255106250000, -866031095662, 0, 811327760920, 185953468416, 0, -714267913128, 3505972224538, 0, -3788338080170, -1083284160000, 0, 6023596118400, -3988239483008, 0, 675521055000, -5520402694080, 0, 4194849456000, -816971982320, 0, 2593284814904, 5604079437012, 0, -3703528275616, -2625167968750, 0, 3132268610008, -682595464320, 0, -4965865205000, 15850265093368, 0, -13319696835586, 12866404488896, 0, 3562200850432, -6247962980976, 0, -15670167623380, 394005940000, 0, 3851670543112, -7911082812264, 0, -5384298306250, 14118427336888, 0, 3657580033152, -806613808308, 0, -4015142763208, -7741911666688, 0, -7960806324240, -3430657070000, 0, 2840747650718, 2696779585360, 0, 1470252000000, 7104389630118, 0, -3421924528050, -496010820224, 0, 17103378863872, 3593250802680, 0, -4970519652910, 1073463090000, 0, 3365926134048, -11156469169734, 0, -2504768750000, 8103040364160, 0, -18197435359320, -3579250780680, 0, -1581471069696, -9166418570176, 0, -1887534202624, 831940051250, 0, -6237630464372, -5253338954976, 0, 4831880900000, 6823113506286, 0, -620959937532, 10280708735416, 0, 4138354238080, 1837992379602, 0, 12445310271904, 2237200000000, 0, -27271570706184, -7249595671848, 0, -933352735000, -7595696406144, 0, 9812633631360, -19220546703690, 0, -17031631065108, -4388924660960, 0, 1657939912608, -881854927500, 0, -10541708240240, -10029476578520, 0, -1738195260000, -13348486863462, 0, -17285784001096, 7258173242880, 0, 5709995389840, -16465102143348, 0, -5917861780770, 1277429230000, 0, -307928113152, 3034256887942, 0, 155346605000, -2432586543360, 0, 13571946136560, -24038043287160, 0, 30657033409031, -20112337217896, 0, -10597833050176, 5509188585625, 0, -4094298976187, 18758989943296, 0, -5756865625000, -1441542579632, 0, 22644616125414, -986760617416, 0, -2257578005760, 12022330618542, 0, -9442583753140, -5119380680000, 0, 23164309559776, -8803796943024, 0, 10407627258750, -24444899066392, 0, -4187633502976, 7053993899040, 0, 10346262794472, -9577398096000, 0, 6096409719680, -586181640625, 0, 6735131900198, -20021695432480, 0, 5228142720000, 7584736297278, 0, -17823441166196, -6056739505344, 0, 16511336609712, 24517675485752, 0, 8387637380528, 15686448225000, 0, 294641710848, -8277137894720, 0, 12684748837500, -7529880207360, 0, -29813429386440, 43092795009440, 0, -30155530091668, -7314162059232, 0, 19096760833920, 8509945486250, 0, -8142312182012, 13453616838464, 0, -1777592355000, 12696510319608, 0, 1864900683888, -43202893544664, 0, -11771520541600, 4434563896588, 0, -25357535942640, -2612299200000, 0, -23483030856824, 2618823981312, 0, -905344531250, 24130930208448, 0, -38489461749760, -18961075181410, 0, -2018026238060, 2054597784672, 0, 41156095203664, -8404365885000, 0, 8655585863458, 16441132585136, 0, -4019635040000, -34233579327822, 0, 6359504323728, 27809685406720, 0, -21541872077376, -23859731716268, 0, 12004908192156, 3828781250000, 0, 8492380794240, 48348073880246, 0, 1139730745000, 7521232664960, 0, 61663599415040, -2814875875658, 0, 14676789274593, -2745451931376, 0, -22467352145376, -7734205271250, 0, -22802506810952, -11459262440640, 0, 21101667615000, -7623848664332, 0, -11740922125380, -36420313964384, 0, -4805871190528, -29701755754418, 0, 22900421671560, -980016170000, 0, 19290516292656, 10829164339336, 0, 12071091348750, 99042847877680, 0, 4028221633920, 18730187751904, 0, 5295137796312, -36724202848256, 0, 4161544429056, -9509086025000, 0, 16421422524998, -49478830367120, 0, -1640625000000, -2595081684888, 0, -44704741974760, -5489424775104, 0, 73787473836832, 20055866459240, 0, -24200727627630, 25553733415000, 0, 4322146054656, 12765420090586, 0, 10084845268750, 23475603164160, 0, 62202179496520, 23571523443820, 0, -38808329847778, 19076867771528, 0, -22088529215488, 3994014843750, 0, -11681003048880, -7691640256416, 0, 18901492820000, 6167973184928, 0, 24667929022714, -16914245929728, 0, -1513613219104, 7725554187124, 0, -43810773950640, -8657499840000, 0, -52483454937704, 20684320373290, 0, 5589583050000, 44355359437648, 0, 12411607407360, 26713049358550, 0, 12879276660692, -37845911888768, 0, 94500402727808, 24351638442500, 0, 13179212200112, 39600358472836, 0, 9739751180000, -5845268078502, 0, -41954010720136, -5648120083200, 0, 12111826369104, 30806023098744, 0, 18211542880270, -5879109390000, 0, 80074097036288, 15575819643260, 0, 11763282812500, -1574561202400, 0, -4123815806544, -3088166914536, 0, 14706567786112, -78368563599816, 0, -20315950054656, 9622319630000, 0, 11138863500128, 3831028670464, 0, -24941140875000, 28562749982828, 0, 48170814267534, -32649711215184, 0, -7878369797760, -26445638368018, 0, -3195980900882, 2714475000000, 0, -65871504322400, 18218428546336, 0, 13917140407500, -18562153665440, 0, 6048058414816, 77042260728650, 0, 37305530359224, -32860889913600, 0, 92129232122984, -677025990000, 0, -99193216295482, 35672085490272, 0, -8594427520000, 29732269086800, 0, 69651988738124, 37007725048416, 0, -101884017288368, 3585567866776, 0, 44122448932010, 49731148005000, 0, -46534792075712, 27594019346592, 0, -30913641632500, 20268184731648, 0, 121802567297880, -128721047883704, 0, 3387733889484, 137517995519184, 0, -7263202383360, 27048530656250, 0, 14861459061856, 6677450910816, 0, -6802862500000, 97689925305248, 0, -65441976532006, 47252173172456, 0, 43097862655024, -37921764491820, 0, -5138118369320, 28225806000000, 0, -4907372129968, 32254719535036, 0, -4721042703750, 40983956282976, 0, 92911054221824, -596779517768, 0, 81031850232332, -28759212401248, 0, -135166794349776, 9236293750000, 0, -8582827811184, -62850410909440, 0, 14438912600000, 8541331114498, 0, -21164098870537, -13273902516224, 0, -31381373815848, 14058073231092, 0, -68714232771540, 22115574985000, 0, 57891975388800, -91380944847954, 0, -17282244175000, -7157222130432, 0, 38064451476800, -36411215261400, 0, -5342158290798, -26611777652376, 0, 19666612820288, 51625349598750, 0, -32581597219584, 36886424816640, 0, -29841829272500, -39981940877214, 0, 75289367230774, -94062877430144, 0, -2547943915520, -28762262507738, 0, -35634655764304, -2495229740000, 0, 28009006118016, -28400887759544, 0, 2251875390625, 73432021778808, 0, 47367176776896, -111278595821790, 0, 68911845329392, -20084433073152, 0, -938797590696, -9256023975000, 0, -72865682770442, -154444445610000, 0, 26931273600000, -149356767070292, 0, 72601792527528, 28806751656576, 0, -60261059501160, -202379055901720, 0, 20784221871730, -4272460937500, 0, -66247733058272, -48729731134140, 0, 12613567957500, -8945019431040, 0, 34157014618832, -94072820392700, 0, -51012980006868, -76287595573056, 0, -90404215531520, -9931401780000, 0, -32691806579978, -49986977202016, 0, 61134383240000, -65562762069024, 0, 85609907668720, 6828798790968, 0, -46700644414080, -11448900555038, 0, 5648409172080, -52553359360000, 0, 10615814513976, 148846008186436, 0, 17673805736250, 144324942649328, 0, 10035408606720, 118010541071990, 0, -9607990479348, -50116348301440, 0, -75056543582496, 3477971551250, 0, -188925113924462, 60757585264320, 0, -4495012500000, 84910686741578, 0, 44003502375784, 9481704180480, 0, -180596013410008, -51018768053188, 0, 32286211983816, 32321894290000, 0, 58559103031296, -61775785477428, 0, 86962113715000, 15441829969664, 0, -78273795074160, -96176342181960, 0, -188262868606918, 13823343510424, 0, -15823881560256, -22379942968750, 0, -104225243901712, -23900627897344, 0, -14708646050000, -103806507852744, 0, -193097257360832, 117038492751040, 0, -1670286696960, -4378389629992, 0, -45694088871024, 41574828040000, 0, -10499691900768, 145326963238160, 0, 3618017468750, -79465509277112, 0, -92552609220064, 21669397317120, 0, 29711722970034, -59234795672640, 0, 215946173939944, 46681870530000, 0, -52827394725280, -81064166309784, 0, 107710626880000, -72504445092882, 0, -158903975952160, -44558792475648, 0, 301494911668272, 135694826030792, 0, -124590089941953, -20516588015000, 0, 3764830118672, 32874972312106, 0, -6237304687500, 172469887356928, 0, -67867044563472, -46372304525358, 0, -186897546635018, -56643423665136, 0, -111902808286080, -13897193048750, 0, 99334329923560, 136714124296384, 0, -85575234150000, 14212662963048, 0, 36530104873640, -150686969100528, 0, 19440108091360, 89249212743744, 0, -241625098818760, 6302625000000, 0, 24248870678536, 9129253016272, 0, -85036132923750, -22717177305760, 0, -80122190561280, -50033906527650, 0, 38420837472952, 6938602584672, 0, -98167222287064, 106927371497500, 0, 60294851763300, 106073466244760, 0, 10523331840000, -38741941584430, 0, -127613519692256, -293492549921280, 0, 111670705524224, -154254755716668, 0, -145190520508330, -18914589540000, 0, -136386419500800, -248469088936114, 0, -15343407423750, -40749966144000, 0, 22875215504960, -192742087007560, 0, 47186271732624, -72611974817312, 0, -54439628816688, -99030015291875, 0, 90823663565288, -91498933868160, 0, 73504703125000, 277752312059388, 0, 162675873667334, -87703521080224, 0, 33258651385344, -151616093885696, 0, 163870002241220, 48239833420000, 0, -443807422614304, -21472942244880, 0, 66082749083750, 372951511396408, 0, -124987929320704, -120224339857116, 0, 174654067740952, 4527109537792, 0, 174942963467328, -33177648437500, 0, -93549254240708, 438764693454640, 0, 9734264400000, 81813869341238, 0, -21576751225836, -37416228133088, 0, 221510318743392, 100554812709472, 0, 350753923826130, 150760352575000, 0, -137150436986912, 241315206355186, 0, 16445822910000, 90363741995520, 0, 22585186632624, 112688560533660, 0, -96654184448800, 112423997369824, 0, 135419896643584, -45189827252500, 0, -29951873748984, 77333547149760, 0, 96058397960000, -114346366578792, 0, 471796373236740, -79540934220104, 0, -26197287400640, -23697552156396, 0, -36965103090608, -71636278400000, 0, -198922909643304, -17571749119244, 0, 5733524218750, 95813886785400, 0, -12254384970240, -124930061832240, 0, -400125378629508, -166147108963328, 0, -100611022475040, -108840020167500, 0, 385031270721220, 139174550281480, 0, -10427927160000, -152109089676512, 0, -116254836848936, 83158175076480, 0, 312381136752552, -53464086589452, 0, -310044358053410, 70133525000000, 0, -394810995267072, -258166744832474, 0, -66191984505000, 176775086347680, 0, 100219021859040, -98274696540920, 0, 2600863043184, 44281189951488, 0, 89045208967424, 152223651328750, 0, 275447979190048, 33016352760832, 0, -23294321435000, 204101215652028, 0, 72142195954422, 174653653002416, 0, -129788374181760, -25552964357360, 0, 457422935457780, -46938271600000, 0, -191047178176008, -373680584964704, 0, 114859782173750, 17386878250896, 0, -99869742001184, 118757845695412, 0, -69794685018728, 102241692940800, 0, -51463786628856, 107308466025000, 0, 67665785016278, -348468687613312, 0, 2843200000000, 114496466381598, 0, -103909635369050, 264923829717216, 0, 202988678811744, 179727039997992, 0, -242268232342550, 26133876580000, 0, 73786765088256, -274912148836014, 0, 115157050325000, -478108891981312, 0, 538175307703320, 373758226899380, 0, 400501454689782, 476885669823024, 0, -108432256329600, 10328613281250, 0, 111915173671588, -16105702008192, 0, 24691937970000, 18136357650726, 0, -38501528497152, 295167830726720, 0, 97429201048480, -362152831111238, 0, 220092885004920, -42943647600000, 0, 373757632176936, 367372414320032, 0, -35482146070000, 484001952030688, 0, -353645850576896, 634668224903676, 0, -147791498134368, -55468526644160, 0, 461022860013744, 36360021967500, 0, 291952321759378, 165700129861560, 0, -12409312520000, 140234282918976, 0, -353779395299216, 132677680988160, 0, -84959192862376, -239086251250748, 0, -261929368896410, -4349704940000, 0, -60099196953600, 66391469222680, 0, -95530395312500, -131841762469440, 0, 673065212040480, -176494227242576, 0, -222837894190277, -858396935452868, 0, 195376990116704, 212666841038750, 0, -198323943018558, -261828816533760, 0, -154257280397500, -313782746608200, 0, -463527062441506, 114640371333236, 0, -328128321353728, -362595107998618, 0, -44387626799900, 55923837500000, 0, 40363192229696, -78137717704728, 0, 102386931240000, -634049251511592, 0, 9585674569184, 329853803211330, 0, 570798243555400, 109997800737792, 0, -336625257319176, -8650804500625, 0, 768571608749596, 264392345087920, 0, -126478816800000, -65424609340922, 0, -90004723523516, -225024721437824, 0, 246506314404672, -34007047086936, 0, 35557941702360, -291413563245000, 0, 237464733787808, 104490862465666, 0, -314140910607500, -103459180661760, 0, -197511829173120, -54801386933984, 0, 361323880182702, -289695358245216, 0, 466647320563200, -44669366018750, 0, 307648411038908, -59222265848320, 0, 16413085937500, 568494259077968, 0, 22501669675474, -188583693205544, 0, 194496469915520, -48456282665532, 0, -501471931811320, -91449576960000, 0, -212372616323784, 307905994190712, 0, -15943480203750, 499056352653488, 0, -149637093661440, -98641275303460, 0, 38152473078048, -160395841351488, 0, -686494913601056, -24180450000000, 0, 71034324154698, -234853846654784, 0, -152382639900000, 49598558432148, 0, -101001738282536, 7279383444480, 0, 231759861052160, 291522059196092, 0, -496794969195730, -355172967450000, 0, 201888985317376, 36047407500432, 0, 93635032500000, 289616171182560, 0, -1206598260264320, -67895692116378, 0, -3982076765558, 844354842566704, 0, 71051860003968, 125091058861875, 0, 206876906054280, -930466937393664, 0, -238278473615000, 353865633222508, 0, -13360975511282, 227984741096336, 0, 332383474832640, 171732225980480, 0, -176824125402936, 17268040020000, 0, -355502288949024, -769726667729904, 0, -110845205468750, -52217219148864, 0, 419685251576736, 544619475794240, 0, 374422753395712, -290825801616000, 0, -124167789104464, 287196528770000, 0, -6350072103264, 710011006393920, 0, 127281168640000, -334073656047544, 0, -422105700874680, 228120871180576, 0, -73327071476736, 62380897325592, 0, 404260624975173, 25349646875000, 0, -234414750596352, -750146855453100, 0, 85974788908750, -48915268034560, 0, 530910105079480, -225197999976876, 0, 290774287343942, 56504734665680, 0, 50760651150720, 315143467341250, 0, 75280713188548, -399802067692736, 0, 235322244780000, 766592835445768, 0, 299126148392034, -242356404176824, 0, -159713859398464, 865893657252162, 0, 681477273273160, -99308630400000, 0, 958540221179016, -13898975907950, 0, -177696569737500, -178066121064384, 0, -486441189928960, -924284878414850, 0, -94117247650976, 209263900180224, 0, 668072488055504, 60195972887500, 0, -179333073828048, -336137429380368, 0, -37193875000000, 374107686059778, 0, -425430497930472, -413781144222208, 0, -1353746068646888, -213803166276348, 0, 45401732729056, -31912460860000, 0, 185818689369600, -1008838901320874, 0, 381771849640000, -599017822888960, 0, 78816524518424, -511162281100280, 0, 1495748108757012, -410950099688604, 0, 26670104476224, 23961229687500, 0, 241761611538336, -555075758885760, 0, 216557747595000, -78095468036892, 0, -396689395148986, 638470190706656, 0, 558338920441088, -364460998630740, 0, 53387456816078, -204987628260000, 0, 213467762601296, 1643533656499160, 0, -406192753556250, 328745819510640, 0, 353797335654016, -102931080764190, 0, -904399163602448, 84063291848704, 0, 831649161123704, -204607557370000, 0, -378094661518240, -641211806803680, 0, -24212164200000, 132786152908028, 0, -232219804805472, -187393586842944, 0, -303216601501408, 326674808239878, 0, -518511941280720, -337990557765000, 0, -962130522240320, 245486009763386, 0, 107854484375000, 99520769779200, 0, -524445257053312, 360293319307860, 0, -410772190344796, -148263858296736, 0, -46671845851136, 229480105701250, 0, -732635727648532, -40426431596544, 0, 266254408700000, -347859339652344, 0, -601896996080686, -459799830699944, 0, 480651494994880, 386726171452122, 0, 850987039416760, 79937500000000, 0, 72662287176864, 930032904828516, 0, -608740417548750, 1251732775293280, 0, -135621082679040, 58943233959078, 0, 1017151984784772, -716792602986368, 0, -561564260858720, -169546794780000, 0, 1254936624956898, 677620373573640, 0, -248236267460000, 712042974547648, 0, 380433706745267, 106782431938560, 0, -357431762536408, 867492564260732, 0, 517027417275470, -282375667525000, 0, -1143820817027072, 117602344746480, 0, 37007587335000, -604249743680480, 0, -660002656426960, -198922675353680, 0, 56313689293092, 1086633235737784, 0, -185318144066272, -223872245056250, 0, 557519675496720, 1001805588725760, 0, -111832415625000, -253863488880134, 0, 362047309438734, 327068085368640, 0, -190028759276160, -897543320168354, 0, 416007735279360, -183614501680000, 0, -172703249177984, 314795958285456, 0, 127455254237500, -690702012635992, 0, 164309817603072, -58767219958470, 0, 498908329983000, -37395150119040, 0, -216315517239472, 28514045312500, 0, 1568155558568896, 1226701670617920, 0, 151435173120000, -968547670780962, 0, -658597508741556, 509839276537696, 0, -579160970452120, 863857298819752, 0, -1553405893042790, -156508325400000, 0, -430880634537152, -63178273291056, 0, 302945226262500, -604740795200512, 0, -747965382039400, 550962741196780, 0, -46588545717216, -360619746499376, 0, -935016646663680, -448936098613750, 0, 173601240373204, -918003912212992, 0, -681845876390000, -1421103345651672, 0, 459849124410874, -369017941603136, 0, -384689196593264, 1907014257122180, 0, -59692407300504, 240629146800000, 0, 163667506198056, 316149562031832, 0, -128501464843750, 1174712300163808, 0, 275197927101440, -1236580552931730, 0, -655541187026188, -117657741871296, 0, -862568646764832, -22025906638750, 0, 418629035696698, -509923200647560, 0, 57111348360000, -1029269490416382, 0, 492772429475584, -1400639326736384, 0, -436122950011280, -994793466893160, 0, 418119821475468, -329371918750000, 0, -38900923824000, 1264431273252166, 0, 517060481245000, 40059924977856, 0, 86468673607008, 1838719631046176, 0, 1133255558413442, -411783898011136, 0, 761294617826784, -545645068446250, 0, -493427586844584, -501923471938560, 0, -269424949640000, 10515349553808, 0, -585798938915412, -311888178003584, 0, -1650683968389120, 254283127674408, 0, 427309583336460, 242285368500000, 0, -799756999519184, 196851810779960, 0, 136080574100000, -1348782799490952, 0, 317168623233216, 388701007626720, 0, -584782378944526, 383864189384192, 0, 740477874304504, -446912844475000, 0, 821548722159660, 89487465224696, 0, 67063500000000, 396928191830016, 0, -673474214939516, 639894613417600, 0, -510115999297408, 1315663079959392, 0, -560048609615023, -389679931410000, 0, 180318064178560, 727133655588306, 0, 368556620752500, 149422619660160, 0, -2157183300402200, -441245339198678, 0, 256641213753982, -1044554850058272, 0, 1601107740933120, 350143933593750, 0, 972135456250696, -894969683480416, 0, 18956727720000, 749984618086128, 0, -412236203081640, 2777410056273496, 0, -346528830476928, 376395446378122, 0, 1173345644208400, -10922437120000, 0, -832503534430400, -1321414143847644, 0, -665478334518750, -1950255684667472, 0, 914308501196160, 704488126093884, 0, 498644688221732, 989730453658432, 0, -100395900269728, -163262545965000, 0, -34018523848604, -1235428570096280, 0, -483102580620000, -442387324528520, 0, 1819552033967008, -1149683098341120, 0, -772632541704576, 865640994071532, 0, -1633858261181410, 865581965710000, 0, -354526840356864, -1868544512659434, 0, -39678400781250, -1183224939465120, 0, 3604189340743712, -1725311211726616, 0, 1520290370031482, -94856548905552, 0, -1335889099329216, -964350302336250, 0, -849738202931072, 353890889459712, 0, -757358858375000, -1855560991816400, 0, -865540836658786, -416120853731968, 0, 164972316620160, 2127969408294822, 0, 596938900293220, 66084950000000, 0, -2735317908546944, 136308212342512, 0, -524174795911250, 1832375342896168, 0, -459021110818144, 2421805305400250, 0, -449248372416848, 1064770724418240, 0, 1061809405770960, 538636835010000, 0, -139680660390348, 143867314340960, 0, -1375268795200000, -995417054286384, 0, 908217651115888, 47671614976832, 0, -903132146981008, 858625574910840, 0, -617070969656636, 132189195705000, 0, -398129861034624, -138820397116134, 0, 918662839367500, -1625180691986432, 0, 16709826497504, -682631548875340, 0, -329501332833818, -2268891806505296, 0, -710521718148480, 366989566632500, 0, 660559232957908, 1313048859397824, 0, -258616225000000, 365237096596928, 0, 576034805986068, 240319178713152, 0, 610546848834560, -51296430234198, 0, -816980936534462, 356726076000000, 0, -239157271205944, -2573819422455960, 0, -480845358870000, 592594768375036, 0, -16869461663744, 671787137040704, 0, -2381545620817868, 304847631353952, 0, -393626050470576, 85463867187500, 0, -2114756364933542, 1923998517603120, 0, -214837014140000, -205844760074622, 0, -814104434455696, -2820717581800960, 0, 2558666455742712, -393329635051584, 0, -1389788119816730, 483902836900000, 0, -176825487928320, 957913626181326, 0, 1376419629800000, -369768957203200, 0, 1019514027319200, -1862878188879120, 0, 33232930569601, 149580432142344, 0, 258514411480224, -61282409182500, 0, -490564212581080, 485881022618880, 0, -1445509788765000, -590404504606812, 0, -1222897268399680, 912284722148352, 0, -1797247136780288, 1941188952677182, 0, -868430776500840, 289892055790000, 0, 1119494344561992, 202624788958136, 0, 471019366406250, -2108102282461672, 0, 913753666464256, 1206803722189772, 0, -568888165009296, 1097838344601600, 0, 805343350216664, -812953436705000, 0, -2359003965808722, 997770361400512, 0, -61646852400000, -597436167424362, 0, 171601836497630, -272087488003584, 0, 795224857267232, -1164597925322688, 0, -1770458592115840, -63052510937500, 0, -713339640136992, 27674655988032, 0, 430591881532500, 1170247896840960, 0, 3115800683010120, -1263716410301940, 0, -208952282397408, -1929531669222976, 0, 351312694849536, 2210777854412500, 0, 3159619041930188, 9119748023904, 0, 259168671300000, 61248473550726, 0, -388219341958406, 2040239117572376, 0, 1500317471640000, -1214556006780798, 0, 566807238831784, -1312194245120000, 0, 4181989477968176, 77147918236752, 0, 92891616720000, -2032850190770784, 0, 711696217397760, -646548703723280, 0, -1354679762076448, 585393149439840, 0, 5666613565248160, -1104438177837500, 0, 1263650746283376, -581958212408440, 0, 41503906250000, 150076003691316, 0, 2167291984831624, -1636708699086720, 0, 1364432471755920, -886445202106800, 0, -523525261128804, -353179902810000, 0, 435835422944768, -359708340852000, 0, 1647041826715000, -331810999154368, 0, 2634038970995600, -1105657377929400, 0, -2344535401285958, 1428363440192304, 0, 741079499852544, 570395835156250, 0, -480549811723779, 1581331594895360, 0, 278079249840000, -1060098104438652, 0, 4534371742573180, 915370584239384, 0, -1234972377932160, -2557726304659120, 0, -778263583885700, -593876865760000, 0, 1835757337932672, 86995109423616, 0, 1388441506618750, -2397077414724160, 0, -66336902540832, 2093751973635850, 0, -911393972426568, -1153780626700800, 0, 320569215541064, 425822941328750, 0, 3514767047570678, -158155456818240, 0, 467928186880000, 817087344960348, 0, 192981118392648, -103125055278624, 0, -4167688229220208, 2889118245660704, 0, -1103294184922832, -494866560615000, 0, -1402013728593472, -468065253030848, 0, 421908321875000, -488963337447424, 0, -3304295150015720, 60829431296220, 0, -6023981556842100, 269023733421744, 0, -1238168605094400, -377550132360000, 0, -643666229397840, 729120709087104, 0, -97383203435000, -638559476424312, 0, -2571990055350806, 5289903189884936, 0, -590216542567680, -330280749071854, 0, 1767518886374736, -111053250000000, 0, -2377499228764184, 410402102887480, 0, -1171505690573750, -1232098066521952, 0, -461984748450816, 453489853480270, 0, -1210655144138146, 1754361273125792, 0, 1428525505489264, 990074987447500, 0, -1946020635903502, -904013935546848, 0, -313984115960000, -369995547108702, 0, 442007990419288, 74421259493376, 0, 1729721993367984, 143469039915264, 0, 706442838692640, -2434939184020000, 0, 381504034544640, 290421848074406, 0, 2109383989460000, 760374009291840, 0, 2692937581094880, 682639142303580, 0, 1711798083802800, 5271360320993704, 0, -134283908386976, 883936573054375, 0, 3211554736792168, -390942956194560, 0, 626638403125000, -2110279090478184, 0, -231248849444620, 2918306829247936, 0, 418064775073792, 78183360766782, 0, 1129393407627700, 142883990200000, 0, 2906582219876832, 3810487255684536, 0, 270353267167500, 5406723206103296, 0, -1136945358152960, -700615984728044, 0, -1466662316065288, 81382730872832, 0, 122594909639776, -131230120312500, 0, -1902970107207722, 1279434488388672, 0, 1027142810400000, -1466614737577024, 0, 271223302687524, 101997007036032, 0, -4069154970668480, 2378794070600592, 0, 1998689465184770, -101304489125000, 0, 771950661549088, 589473126469946, 0, -92049459967500, -2286593874848640, 0, -606743124879360, -2249948009421300, 0, 657674080003132, -831928243160952, 0, 2886144901535488, -1749298294638750, 0, 3207984597771628, -2097762832559456, 0, -1307092374840000, 4221046095215248, 0, -2522798834222246, 1479167052307840, 0, 787480472723616, 378356640821280, 0, 5503230333683520, -1884051715840000, 0, 2030124462600696, 1560430082061690, 0, -556721894531250, 4449311326660480, 0, -1100864284692480, 2009609924556070, 0, 4187512278118452, -2928807713348928, 0, -3799455128862176, -728788196767500, 0, 786020392392592, 3488522518374684, 0, 199303997860000, -5056343048161862, 0, 1648352665517448, 93013449990720, 0, -920499224738968, -2500524880084536, 0, 1316236612519550, 174644531250000, 0, 219187548602368, -1770495600845874, 0, -1470346078625000, 659279861473728, 0, 1298424526710024, -5747701074281760, 0, -515602294685136, 5233131305780504, 0, 550250401318464, -414333787175000, 0, -2931014076994352, 5452331116110336, 0, 389121405365000, 742651658000328, 0, -2008275398839360, -2781361237859680, 0, 3377643070851840, 3601200642060382, 0, -881570774061922, 831302274600000, 0, -397954562965344, -1060622948776712, 0, 2056456074173750, -1022842936461920, 0, 1463816271262272, 75350961463770, 0, -57816147432008, 480285023433600, 0, -2498977956824832, 796251908265000, 0, 2249283142425318, 6765502766925280, 0, -307087900000000, -991667894842802, 0, -1788245600934916, -235560458020064, 0, -255619084455616, 2338537188055278, 0, -17315389438417, 2381011721865000, 0, 220681150970240, -8103558862278540, 0, -2274196814472500, 2148213159886848, 0, 1400949382774200, 4180704223297740, 0, 651330966826848, -1075783449242656, 0, 171424299150720, 1110070267968750, 0, -722448622319544, 953624445074336, 0, -2993966401930000, -3015723944137400, 0, 391698786551434, -1688255849372400, 0, -1030427957806240, 2090369147668642, 0, -130824708430256, 259988198400000, 0, 1084774364364040, 3939079329933276, 0, 2718807305756250, 3573178551383168, 0, 5133710185175040, -142168347506136, 0, -845211659460308, -1084801139378176, 0, 4319133160066704, 3069598114267500, 0, -97480147728742, 4065334574233240, 0, 183741726960000, -6274766628571022, 0, 860027616608090, 6645265925391360, 0, 6957134490211192, 347055809541664, 0, -1921497302278720, 429615407865000, 0, -1006763869440000, -4639547741656054, 0, -151849609375000, -222216379191040, 0, 5396778436211680, -242439402057640, 0, -7364614928799248, -1321215608513472, 0, 705373469653888, 1054736008313750, 0, -109164490482152, -1344979064882880, 0, 2772840428172500, -489632104678780, 0, -3554732929905312, -2543062579828064, 0, 4458176625423872, 3934944763557782, 0, -45827618452704, -714045687500000, 0, -7777064737662864, -446565060024024, 0, -109539556472500, -4554924462685352, 0, 851977061922176, -2394585379818750, 0, -632927526771456, -581753361057792, 0, 4245250628799488, 914820452745000, 0, 2626318564771238, -4588360062754160, 0, 1191807649200000, 2172806808576128, 0, -639929336461360, 4311272105396096, 0, 601242382856640, -5283453064163168, 0, -9813261523095340, -1850316974345000, 0, -3622957539279392, -1163794381210020, 0, -3017115945307500, -3087937077335040, 0, 3366281515999248, 3496555972127780, 0, -8764754154599988, -4890313896746656, 0, -1950605902479360, -1402910957800000, 0, 1724632916434582, -1699445930825472, 0, 928974156250000, -2092532036647272, 0, -1076413196031326, 2619379118739824, 0, -4262285593559360, -5861969182006638, 0, -147892976466600, -474290444480000, 0, -2290788341554664, 6994155526504996, 0, -700477094103750, 604149034323408, 0, -924400930346880, 5845437244560870, 0, -3568979990094308, -2151814524935808, 0, -2815534755865216, 493651227343750, 0, 1830904220709300, -9821109867131640, 0, -1464529139300000, -1908205485280704, 0, 465966294944920, -3388422560853120, 0, -6756825777945208, -7258637679560720, 0, 84614722943422, -460483041480000, 0, -4402865752848384, -2901392726430228, 0, 849652934750000, -219398955859776, 0, -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, 0, 272, -625, 0, 2401, 6720, 0, 17500, 25548, 0, -42306, -67228, 0, -327424, 526342, 0, -350060, -170000, 0, -715344, 621976, 0, 390625, 1184568, 0, 653072, -6720430, 0, -6412208, 5727232, 0, -14737576, -1500625, 0, -2317682, 9801680, 0, -4200000, 10224678, 0, 30114004, 6949056, 0, -17415328, 23644912, 0, 5764801, -10937500, 0, -11507232, -57292654, 0, -15967500, 16134720, 0, 188172040, -84934780, 0, 14677822, 179541824, 0, 7278592, 26441250, 0, -244557812, 143165024, 0, 42017500, -61901952, 0, -283763726, 64895096, 0, -95216320, 61340748, 0, 276107480, 204640000, 0, -286290984, 72995956, 0, -328963750, -843192112, 0, 171682560, 896368470, 0, -101576706, 169177472, 0, -662057536, 218787500, 0, 1205809578, -161414428, 0, 106250000, 1460213338, 0, 1080085304, -284296320, 0, 1604194312, -335949108, 0, -1425208050, 447090000, 0, -786145024, 2841779886, 0, -388735000, -1827956960, 0, 2378173840, 1263747142, 0, -1705247387, -410979016, 0, -1744120576, -244140625, 0, 3493393328, -3136143360, 0, -740355000, 1846965388, 0, -840494060, 6847618736, 0, 3537018240, -1172376458, 0, -4890013380, -408170000, 0, 1733254656, -1080833688, 0, 4200268750, 7945384328, 0, -630409504, 8614877290, 0, 5489051312, -2352403200, 0, -1717540944, 4007630000, 0, -1331104082, -7731009440, 0, -3579520000, 1493364376, 0, 1410967884, 2781112416, 0, -2043886768, -248554568, 0, -8814701737, 9210985000, 0, 8191009088, -16652203614, 0, 937890625, -8365028352, 0, -25098317160, -20295598140, 0, -13615912778, 2844147768, 0, 4179678720, 1448551250, 0, 13446985416, 6431416064, 0, -6126050000, -1823569192, 0, 12374728434, -33762668184, 0, 1568025872, -19313746158, 0, 15214537640, 2625000000, 0, -40885973464, -16135752430, 0, -6390423750, -30242388512, 0, 13851999744, -8943332880, 0, -38962621508, -15583601888, 0, 9406575024, -18821252500, 0, -15395711408, 39905825400, 0, -4343160000, -22267424652, 0, 1083241584, 13751084032, 0, -79569836808, 49461826612, 0, -43277649050, 10884580000, 0, -45161289600, 7553668326, 0, -14778070000, -23102260160, 0, -35384919976, 27651590680, 0, -82600559358, 47746926836, 0, 3992367584, -3603000625, 0, 14809638360, -43090037760, 0, 6835937500, -20181708732, 0, 15890242848, -97815013184, 0, 84085374976, -28278089178, 0, -5564754482, 7192020000, 0, -51715030864, -139139381944, 0, 35807908750, 23533833680, 0, -66519724864, -5788827950, 0, -74690992848, -172337003008, 0, 32826540824, 9979687500, 0, 22235508878, 136920374640, 0, -10084200000, 136057812678, 0, -171083794396, -16837330944, 0, 30263343264, 24549451878, 0, 158448024467, -117607525000, 0, -77183733472, -105732398534, 0, 53084237500, -15574823040, 0, -241216564120, -26313316656, 0, 72303723604, -153693436736, 0, 114618045440, -9173638750, 0, 174144032268, 16684683456, 0, -112213640000, 105907175208, 0, -243557842126, 37270914296, 0, 75101234560, -183775651478, 0, -171693545640, -4549120000, 0, -41814202528, -184251280520, 0, -16525781250, -39507100752, 0, 68709836160, 56771433712, 0, -58176035148, 19854900032, 0, 6959527904, 152848632500, 0, -340266945662, 246811648636, 0, -89478140000, -163819089984, 0, 13841287201, 202366106880, 0, 466261701192, 502625456972, 0, 71470985630, -26260937500, 0, 146319323136, 25509568326, 0, 38688720000, 243812223840, 0, 568276747920, -149816052000, 0, -200145694179, 381245557784, 0, -27628864032, 177352328750, 0, -459514446032, -203649869824, 0, -40559435000, -137559662254, 0, -504229547746, -376515591648, 0, 158893808640, 284314511580, 0, -96313556620, 59510200000, 0, 51059937376, -610834959424, 0, -38337967500, -346492396152, 0, 327980205216, 649908405690, 0, 327372091792, 38739462720, 0, 540784892424, -172567175000, 0, -367168169122, -426007053920, 0, -127900000000, 973984668078, 0, 271274871648, 397178027936, 0, 451801068040, -59212139736, 0, 358195592090, 178931865000, 0, 293783202688, -203928406780, 0, -45622472500, -242296276992, 0, 250413320640, -484712362020, 0, 718297757782, 1090953402224, 0, -385006634880, 205602343750, 0, 35241450622, -91378157376, 0, 526995070000, -827296769992, 0, 873032109514, 431079919424, 0, -387656589600, -217728918560, 0, 715060551160, -107301600000, 0, 623487890256, -589690593204, 0, -560230293750, -30330764352, 0, 17475899392, 1064765335230, 0, 261220073544, 772964128992, 0, -1384931145136, 63485441250, 0, 1542960483738, 1211774173400, 0, -105735920000, 838679673458, 0, -861818936016, 2200430072320, 0, -211502713128, -1469860542988, 0, -587183306612, 413785960000, 0, -570761721600, 769352574192, 0, -136742187500, 343739222624, 0, -774244539040, -2202271407680, 0, 98051854692, 2312815662024, 0, -463827289264, -753630986250, 0, 1300725498728, 98634963840, 0, 100884017500, -688947010452, 0, -3537244567060, -414669874080, 0, 2099510792192, -148626586752, 0, 1767101084540, -66406250000, 0, 565087844496, -2635266922744, 0, -912633336250, -444926799744, 0, 950202985216, -2221506410590, 0, -681316706126, -748685099008, 0, 791786496984, -675053315000, 0, 604080211776, 155813125496, 0, 177685200000, 1874409104918, 0, -1584119979916, 502374585536, 0, 3895902694432, -3375014383136, 0, -1414298516887, -1002621445000, 0, -228614384320, -432565227468, 0, 209968192500, -1643428496640, 0, 162087182600, 147279135948, 0, 2798877271422, 2091347799744, 0, 3014482745344, 890755031250, 0, 1166061114828, -318886396576, 0, -279431250000, 2352553725800, 0, 662934059480, -622594248584, 0, -1330083639360, -3290329718678, 0, -1274003053224, 491340640000, 0, -3809618754984, 3638714903156, 0, -1776112428750, 4790346243088, 0, -415981117440, -4350091689210, 0, -4911356982828, -293986763136, 0, -687384652584, 242959375000, 0, -1687577613302, -4436544685076, 0, 1142473100000, 175263290356, 0, -1463712724392, -1906892238720, 0, 2960507158952, 4827385512492, 0, 2244657532480, -1486358650000, 0, 758864711168, 1120763350566, 0, -789841963750, 2343246622880, 0, 736772866368, -1359444695600, 0, 950420630442, -2024504260912, 0, 1493021956864, 1065779616875, 0, 3359388479648, -2004874833920, 0, 256861885000, -1000321647072, 0, -2622572206386, -4876032903504, 0, 412209826560, 33528485382, 0, 5515873057500, 1090075360000, 0, -2965400905824, 2152180696470, 0, 152587890625, 6819619579528, 0, -362060310304, -1219893379244, 0, 2724556984752, 1855442265600, 0, 5145718241384, -2183370830000, 0, -243885671106, 4807419277920, 0, 1960089600000, -379136232642, 0, -5154462237476, 406195110272, 0, 5159035854560, 2680590842232, 0, -2169913759440, 462721875000, 0, 383783264448, 6449857621786, 0, -1154353367500, -3347804969472, 0, -1589600143936, 2795492681220, 0, -493690839658, 1628928984144, 0, 490532824320, 525308787500, 0, -4179946169680, -67606842496, 0, -4279761710000, 374988996456, 0, 2838053902754, 9527474478536, 0, -2397598872464, -7712363354998, 0, 2895148796778, -2210636400000, 0, 4586934519552, -10767675416724, 0, 732735286250, -387556041628, 0, -9860047645696, 2423823020124, 0, 2022979416612, -4529399383008, 0, -14073512795216, 3056258362500, 0, 5381677467876, -2001187597640, 0, 255106250000, -866031095662, 0, 811327760920, 185953468416, 0, -714267913128, 3505972224538, 0, -3788338080170, -1083284160000, 0, 6023596118400, -3988239483008, 0, 675521055000, -5520402694080, 0, 4194849456000, -816971982320, 0, 2593284814904, 5604079437012, 0, -3703528275616, -2625167968750, 0, 3132268610008, -682595464320, 0, -4965865205000, 15850265093368, 0, -13319696835586, 12866404488896, 0, 3562200850432, -6247962980976, 0, -15670167623380, 394005940000, 0, 3851670543112, -7911082812264, 0, -5384298306250, 14118427336888, 0, 3657580033152, -806613808308, 0, -4015142763208, -7741911666688, 0, -7960806324240, -3430657070000, 0, 2840747650718, 2696779585360, 0, 1470252000000, 7104389630118, 0, -3421924528050, -496010820224, 0, 17103378863872, 3593250802680, 0, -4970519652910, 1073463090000, 0, 3365926134048, -11156469169734, 0, -2504768750000, 8103040364160, 0, -18197435359320, -3579250780680, 0, -1581471069696, -9166418570176, 0, -1887534202624, 831940051250, 0, -6237630464372, -5253338954976, 0, 4831880900000, 6823113506286, 0, -620959937532, 10280708735416, 0, 4138354238080, 1837992379602, 0, 12445310271904, 2237200000000, 0, -27271570706184, -7249595671848, 0, -933352735000, -7595696406144, 0, 9812633631360, -19220546703690, 0, -17031631065108, -4388924660960, 0, 1657939912608, -881854927500, 0, -10541708240240, -10029476578520, 0, -1738195260000, -13348486863462, 0, -17285784001096, 7258173242880, 0, 5709995389840, -16465102143348, 0, -5917861780770, 1277429230000, 0, -307928113152, 3034256887942, 0, 155346605000, -2432586543360, 0, 13571946136560, -24038043287160, 0, 30657033409031, -20112337217896, 0, -10597833050176, 5509188585625, 0, -4094298976187, 18758989943296, 0, -5756865625000, -1441542579632, 0, 22644616125414, -986760617416, 0, -2257578005760, 12022330618542, 0, -9442583753140, -5119380680000, 0, 23164309559776, -8803796943024, 0, 10407627258750, -24444899066392, 0, -4187633502976, 7053993899040, 0, 10346262794472, -9577398096000, 0, 6096409719680, -586181640625, 0, 6735131900198, -20021695432480, 0, 5228142720000, 7584736297278, 0, -17823441166196, -6056739505344, 0, 16511336609712, 24517675485752, 0, 8387637380528, 15686448225000, 0, 294641710848, -8277137894720, 0, 12684748837500, -7529880207360, 0, -29813429386440, 43092795009440, 0, -30155530091668, -7314162059232, 0, 19096760833920, 8509945486250, 0, -8142312182012, 13453616838464, 0, -1777592355000, 12696510319608, 0, 1864900683888, -43202893544664, 0, -11771520541600, 4434563896588, 0, -25357535942640, -2612299200000, 0, -23483030856824, 2618823981312, 0, -905344531250, 24130930208448, 0, -38489461749760, -18961075181410, 0, -2018026238060, 2054597784672, 0, 41156095203664, -8404365885000, 0, 8655585863458, 16441132585136, 0, -4019635040000, -34233579327822, 0, 6359504323728, 27809685406720, 0, -21541872077376, -23859731716268, 0, 12004908192156, 3828781250000, 0, 8492380794240, 48348073880246, 0, 1139730745000, 7521232664960, 0, 61663599415040, -2814875875658, 0, 14676789274593, -2745451931376, 0, -22467352145376, -7734205271250, 0, -22802506810952, -11459262440640, 0, 21101667615000, -7623848664332, 0, -11740922125380, -36420313964384, 0, -4805871190528, -29701755754418, 0, 22900421671560, -980016170000, 0, 19290516292656, 10829164339336, 0, 12071091348750, 99042847877680, 0, 4028221633920, 18730187751904, 0, 5295137796312, -36724202848256, 0, 4161544429056, -9509086025000, 0, 16421422524998, -49478830367120, 0, -1640625000000, -2595081684888, 0, -44704741974760, -5489424775104, 0, 73787473836832, 20055866459240, 0, -24200727627630, 25553733415000, 0, 4322146054656, 12765420090586, 0, 10084845268750, 23475603164160, 0, 62202179496520, 23571523443820, 0, -38808329847778, 19076867771528, 0, -22088529215488, 3994014843750, 0, -11681003048880, -7691640256416, 0, 18901492820000, 6167973184928, 0, 24667929022714, -16914245929728, 0, -1513613219104, 7725554187124, 0, -43810773950640, -8657499840000, 0, -52483454937704, 20684320373290, 0, 5589583050000, 44355359437648, 0, 12411607407360, 26713049358550, 0, 12879276660692, -37845911888768, 0, 94500402727808, 24351638442500, 0, 13179212200112, 39600358472836, 0, 9739751180000, -5845268078502, 0, -41954010720136, -5648120083200, 0, 12111826369104, 30806023098744, 0, 18211542880270, -5879109390000, 0, 80074097036288, 15575819643260, 0, 11763282812500, -1574561202400, 0, -4123815806544, -3088166914536, 0, 14706567786112, -78368563599816, 0, -20315950054656, 9622319630000, 0, 11138863500128, 3831028670464, 0, -24941140875000, 28562749982828, 0, 48170814267534, -32649711215184, 0, -7878369797760, -26445638368018, 0, -3195980900882, 2714475000000, 0, -65871504322400, 18218428546336, 0, 13917140407500, -18562153665440, 0, 6048058414816, 77042260728650, 0, 37305530359224, -32860889913600, 0, 92129232122984, -677025990000, 0, -99193216295482, 35672085490272, 0, -8594427520000, 29732269086800, 0, 69651988738124, 37007725048416, 0, -101884017288368, 3585567866776, 0, 44122448932010, 49731148005000, 0, -46534792075712, 27594019346592, 0, -30913641632500, 20268184731648, 0, 121802567297880, -128721047883704, 0, 3387733889484, 137517995519184, 0, -7263202383360, 27048530656250, 0, 14861459061856, 6677450910816, 0, -6802862500000, 97689925305248, 0, -65441976532006, 47252173172456, 0, 43097862655024, -37921764491820, 0, -5138118369320, 28225806000000, 0, -4907372129968, 32254719535036, 0, -4721042703750, 40983956282976, 0, 92911054221824, -596779517768, 0, 81031850232332, -28759212401248, 0, -135166794349776, 9236293750000, 0, -8582827811184, -62850410909440, 0, 14438912600000, 8541331114498, 0, -21164098870537, -13273902516224, 0, -31381373815848, 14058073231092, 0, -68714232771540, 22115574985000, 0, 57891975388800, -91380944847954, 0, -17282244175000, -7157222130432, 0, 38064451476800, -36411215261400, 0, -5342158290798, -26611777652376, 0, 19666612820288, 51625349598750, 0, -32581597219584, 36886424816640, 0, -29841829272500, -39981940877214, 0, 75289367230774, -94062877430144, 0, -2547943915520, -28762262507738, 0, -35634655764304, -2495229740000, 0, 28009006118016, -28400887759544, 0, 2251875390625, 73432021778808, 0, 47367176776896, -111278595821790, 0, 68911845329392, -20084433073152, 0, -938797590696, -9256023975000, 0, -72865682770442, -154444445610000, 0, 26931273600000, -149356767070292, 0, 72601792527528, 28806751656576, 0, -60261059501160, -202379055901720, 0, 20784221871730, -4272460937500, 0, -66247733058272, -48729731134140, 0, 12613567957500, -8945019431040, 0, 34157014618832, -94072820392700, 0, -51012980006868, -76287595573056, 0, -90404215531520, -9931401780000, 0, -32691806579978, -49986977202016, 0, 61134383240000, -65562762069024, 0, 85609907668720, 6828798790968, 0, -46700644414080, -11448900555038, 0, 5648409172080, -52553359360000, 0, 10615814513976, 148846008186436, 0, 17673805736250, 144324942649328, 0, 10035408606720, 118010541071990, 0, -9607990479348, -50116348301440, 0, -75056543582496, 3477971551250, 0, -188925113924462, 60757585264320, 0, -4495012500000, 84910686741578, 0, 44003502375784, 9481704180480, 0, -180596013410008, -51018768053188, 0, 32286211983816, 32321894290000, 0, 58559103031296, -61775785477428, 0, 86962113715000, 15441829969664, 0, -78273795074160, -96176342181960, 0, -188262868606918, 13823343510424, 0, -15823881560256, -22379942968750, 0, -104225243901712, -23900627897344, 0, -14708646050000, -103806507852744, 0, -193097257360832, 117038492751040, 0, -1670286696960, -4378389629992, 0, -45694088871024, 41574828040000, 0, -10499691900768, 145326963238160, 0, 3618017468750, -79465509277112, 0, -92552609220064, 21669397317120, 0, 29711722970034, -59234795672640, 0, 215946173939944, 46681870530000, 0, -52827394725280, -81064166309784, 0, 107710626880000, -72504445092882, 0, -158903975952160, -44558792475648, 0, 301494911668272, 135694826030792, 0, -124590089941953, -20516588015000, 0, 3764830118672, 32874972312106, 0, -6237304687500, 172469887356928, 0, -67867044563472, -46372304525358, 0, -186897546635018, -56643423665136, 0, -111902808286080, -13897193048750, 0, 99334329923560, 136714124296384, 0, -85575234150000, 14212662963048, 0, 36530104873640, -150686969100528, 0, 19440108091360, 89249212743744, 0, -241625098818760, 6302625000000, 0, 24248870678536, 9129253016272, 0, -85036132923750, -22717177305760, 0, -80122190561280, -50033906527650, 0, 38420837472952, 6938602584672, 0, -98167222287064, 106927371497500, 0, 60294851763300, 106073466244760, 0, 10523331840000, -38741941584430, 0, -127613519692256, -293492549921280, 0, 111670705524224, -154254755716668, 0, -145190520508330, -18914589540000, 0, -136386419500800, -248469088936114, 0, -15343407423750, -40749966144000, 0, 22875215504960, -192742087007560, 0, 47186271732624, -72611974817312, 0, -54439628816688, -99030015291875, 0, 90823663565288, -91498933868160, 0, 73504703125000, 277752312059388, 0, 162675873667334, -87703521080224, 0, 33258651385344, -151616093885696, 0, 163870002241220, 48239833420000, 0, -443807422614304, -21472942244880, 0, 66082749083750, 372951511396408, 0, -124987929320704, -120224339857116, 0, 174654067740952, 4527109537792, 0, 174942963467328, -33177648437500, 0, -93549254240708, 438764693454640, 0, 9734264400000, 81813869341238, 0, -21576751225836, -37416228133088, 0, 221510318743392, 100554812709472, 0, 350753923826130, 150760352575000, 0, -137150436986912, 241315206355186, 0, 16445822910000, 90363741995520, 0, 22585186632624, 112688560533660, 0, -96654184448800, 112423997369824, 0, 135419896643584, -45189827252500, 0, -29951873748984, 77333547149760, 0, 96058397960000, -114346366578792, 0, 471796373236740, -79540934220104, 0, -26197287400640, -23697552156396, 0, -36965103090608, -71636278400000, 0, -198922909643304, -17571749119244, 0, 5733524218750, 95813886785400, 0, -12254384970240, -124930061832240, 0, -400125378629508, -166147108963328, 0, -100611022475040, -108840020167500, 0, 385031270721220, 139174550281480, 0, -10427927160000, -152109089676512, 0, -116254836848936, 83158175076480, 0, 312381136752552, -53464086589452, 0, -310044358053410, 70133525000000, 0, -394810995267072, -258166744832474, 0, -66191984505000, 176775086347680, 0, 100219021859040, -98274696540920, 0, 2600863043184, 44281189951488, 0, 89045208967424, 152223651328750, 0, 275447979190048, 33016352760832, 0, -23294321435000, 204101215652028, 0, 72142195954422, 174653653002416, 0, -129788374181760, -25552964357360, 0, 457422935457780, -46938271600000, 0, -191047178176008, -373680584964704, 0, 114859782173750, 17386878250896, 0, -99869742001184, 118757845695412, 0, -69794685018728, 102241692940800, 0, -51463786628856, 107308466025000, 0, 67665785016278, -348468687613312, 0, 2843200000000, 114496466381598, 0, -103909635369050, 264923829717216, 0, 202988678811744, 179727039997992, 0, -242268232342550, 26133876580000, 0, 73786765088256, -274912148836014, 0, 115157050325000, -478108891981312, 0, 538175307703320, 373758226899380, 0, 400501454689782, 476885669823024, 0, -108432256329600, 10328613281250, 0, 111915173671588, -16105702008192, 0, 24691937970000, 18136357650726, 0, -38501528497152, 295167830726720, 0, 97429201048480, -362152831111238, 0, 220092885004920, -42943647600000, 0, 373757632176936, 367372414320032, 0, -35482146070000, 484001952030688, 0, -353645850576896, 634668224903676, 0, -147791498134368, -55468526644160, 0, 461022860013744, 36360021967500, 0, 291952321759378, 165700129861560, 0, -12409312520000, 140234282918976, 0, -353779395299216, 132677680988160, 0, -84959192862376, -239086251250748, 0, -261929368896410, -4349704940000, 0, -60099196953600, 66391469222680, 0, -95530395312500, -131841762469440, 0, 673065212040480, -176494227242576, 0, -222837894190277, -858396935452868, 0, 195376990116704, 212666841038750, 0, -198323943018558, -261828816533760, 0, -154257280397500, -313782746608200, 0, -463527062441506, 114640371333236, 0, -328128321353728, -362595107998618, 0, -44387626799900, 55923837500000, 0, 40363192229696, -78137717704728, 0, 102386931240000, -634049251511592, 0, 9585674569184, 329853803211330, 0, 570798243555400, 109997800737792, 0, -336625257319176, -8650804500625, 0, 768571608749596, 264392345087920, 0, -126478816800000, -65424609340922, 0, -90004723523516, -225024721437824, 0, 246506314404672, -34007047086936, 0, 35557941702360, -291413563245000, 0, 237464733787808, 104490862465666, 0, -314140910607500, -103459180661760, 0, -197511829173120, -54801386933984, 0, 361323880182702, -289695358245216, 0, 466647320563200, -44669366018750, 0, 307648411038908, -59222265848320, 0, 16413085937500, 568494259077968, 0, 22501669675474, -188583693205544, 0, 194496469915520, -48456282665532, 0, -501471931811320, -91449576960000, 0, -212372616323784, 307905994190712, 0, -15943480203750, 499056352653488, 0, -149637093661440, -98641275303460, 0, 38152473078048, -160395841351488, 0, -686494913601056, -24180450000000, 0, 71034324154698, -234853846654784, 0, -152382639900000, 49598558432148, 0, -101001738282536, 7279383444480, 0, 231759861052160, 291522059196092, 0, -496794969195730, -355172967450000, 0, 201888985317376, 36047407500432, 0, 93635032500000, 289616171182560, 0, -1206598260264320, -67895692116378, 0, -3982076765558, 844354842566704, 0, 71051860003968, 125091058861875, 0, 206876906054280, -930466937393664, 0, -238278473615000, 353865633222508, 0, -13360975511282, 227984741096336, 0, 332383474832640, 171732225980480, 0, -176824125402936, 17268040020000, 0, -355502288949024, -769726667729904, 0, -110845205468750, -52217219148864, 0, 419685251576736, 544619475794240, 0, 374422753395712, -290825801616000, 0, -124167789104464, 287196528770000, 0, -6350072103264, 710011006393920, 0, 127281168640000, -334073656047544, 0, -422105700874680, 228120871180576, 0, -73327071476736, 62380897325592, 0, 404260624975173, 25349646875000, 0, -234414750596352, -750146855453100, 0, 85974788908750, -48915268034560, 0, 530910105079480, -225197999976876, 0, 290774287343942, 56504734665680, 0, 50760651150720, 315143467341250, 0, 75280713188548, -399802067692736, 0, 235322244780000, 766592835445768, 0, 299126148392034, -242356404176824, 0, -159713859398464, 865893657252162, 0, 681477273273160, -99308630400000, 0, 958540221179016, -13898975907950, 0, -177696569737500, -178066121064384, 0, -486441189928960, -924284878414850, 0, -94117247650976, 209263900180224, 0, 668072488055504, 60195972887500, 0, -179333073828048, -336137429380368, 0, -37193875000000, 374107686059778, 0, -425430497930472, -413781144222208, 0, -1353746068646888, -213803166276348, 0, 45401732729056, -31912460860000, 0, 185818689369600, -1008838901320874, 0, 381771849640000, -599017822888960, 0, 78816524518424, -511162281100280, 0, 1495748108757012, -410950099688604, 0, 26670104476224, 23961229687500, 0, 241761611538336, -555075758885760, 0, 216557747595000, -78095468036892, 0, -396689395148986, 638470190706656, 0, 558338920441088, -364460998630740, 0, 53387456816078, -204987628260000, 0, 213467762601296, 1643533656499160, 0, -406192753556250, 328745819510640, 0, 353797335654016, -102931080764190, 0, -904399163602448, 84063291848704, 0, 831649161123704, -204607557370000, 0, -378094661518240, -641211806803680, 0, -24212164200000, 132786152908028, 0, -232219804805472, -187393586842944, 0, -303216601501408, 326674808239878, 0, -518511941280720, -337990557765000, 0, -962130522240320, 245486009763386, 0, 107854484375000, 99520769779200, 0, -524445257053312, 360293319307860, 0, -410772190344796, -148263858296736, 0, -46671845851136, 229480105701250, 0, -732635727648532, -40426431596544, 0, 266254408700000, -347859339652344, 0, -601896996080686, -459799830699944, 0, 480651494994880, 386726171452122, 0, 850987039416760, 79937500000000, 0, 72662287176864, 930032904828516, 0, -608740417548750, 1251732775293280, 0, -135621082679040, 58943233959078, 0, 1017151984784772, -716792602986368, 0, -561564260858720, -169546794780000, 0, 1254936624956898, 677620373573640, 0, -248236267460000, 712042974547648, 0, 380433706745267, 106782431938560, 0, -357431762536408, 867492564260732, 0, 517027417275470, -282375667525000, 0, -1143820817027072, 117602344746480, 0, 37007587335000, -604249743680480, 0, -660002656426960, -198922675353680, 0, 56313689293092, 1086633235737784, 0, -185318144066272, -223872245056250, 0, 557519675496720, 1001805588725760, 0, -111832415625000, -253863488880134, 0, 362047309438734, 327068085368640, 0, -190028759276160, -897543320168354, 0, 416007735279360, -183614501680000, 0, -172703249177984, 314795958285456, 0, 127455254237500, -690702012635992, 0, 164309817603072, -58767219958470, 0, 498908329983000, -37395150119040, 0, -216315517239472, 28514045312500, 0, 1568155558568896, 1226701670617920, 0, 151435173120000, -968547670780962, 0, -658597508741556, 509839276537696, 0, -579160970452120, 863857298819752, 0, -1553405893042790, -156508325400000, 0, -430880634537152, -63178273291056, 0, 302945226262500, -604740795200512, 0, -747965382039400, 550962741196780, 0, -46588545717216, -360619746499376, 0, -935016646663680, -448936098613750, 0, 173601240373204, -918003912212992, 0, -681845876390000, -1421103345651672, 0, 459849124410874, -369017941603136, 0, -384689196593264, 1907014257122180, 0, -59692407300504, 240629146800000, 0, 163667506198056, 316149562031832, 0, -128501464843750, 1174712300163808, 0, 275197927101440, -1236580552931730, 0, -655541187026188, -117657741871296, 0, -862568646764832, -22025906638750, 0, 418629035696698, -509923200647560, 0, 57111348360000, -1029269490416382, 0, 492772429475584, -1400639326736384, 0, -436122950011280, -994793466893160, 0, 418119821475468, -329371918750000, 0, -38900923824000, 1264431273252166, 0, 517060481245000, 40059924977856, 0, 86468673607008, 1838719631046176, 0, 1133255558413442, -411783898011136, 0, 761294617826784, -545645068446250, 0, -493427586844584, -501923471938560, 0, -269424949640000, 10515349553808, 0, -585798938915412, -311888178003584, 0, -1650683968389120, 254283127674408, 0, 427309583336460, 242285368500000, 0, -799756999519184, 196851810779960, 0, 136080574100000, -1348782799490952, 0, 317168623233216, 388701007626720, 0, -584782378944526, 383864189384192, 0, 740477874304504, -446912844475000, 0, 821548722159660, 89487465224696, 0, 67063500000000, 396928191830016, 0, -673474214939516, 639894613417600, 0, -510115999297408, 1315663079959392, 0, -560048609615023, -389679931410000, 0, 180318064178560, 727133655588306, 0, 368556620752500, 149422619660160, 0, -2157183300402200, -441245339198678, 0, 256641213753982, -1044554850058272, 0, 1601107740933120, 350143933593750, 0, 972135456250696, -894969683480416, 0, 18956727720000, 749984618086128, 0, -412236203081640, 2777410056273496, 0, -346528830476928, 376395446378122, 0, 1173345644208400, -10922437120000, 0, -832503534430400, -1321414143847644, 0, -665478334518750, -1950255684667472, 0, 914308501196160, 704488126093884, 0, 498644688221732, 989730453658432, 0, -100395900269728, -163262545965000, 0, -34018523848604, -1235428570096280, 0, -483102580620000, -442387324528520, 0, 1819552033967008, -1149683098341120, 0, -772632541704576, 865640994071532, 0, -1633858261181410, 865581965710000, 0, -354526840356864, -1868544512659434, 0, -39678400781250, -1183224939465120, 0, 3604189340743712, -1725311211726616, 0, 1520290370031482, -94856548905552, 0, -1335889099329216, -964350302336250, 0, -849738202931072, 353890889459712, 0, -757358858375000, -1855560991816400, 0, -865540836658786, -416120853731968, 0, 164972316620160, 2127969408294822, 0, 596938900293220, 66084950000000, 0, -2735317908546944, 136308212342512, 0, -524174795911250, 1832375342896168, 0, -459021110818144, 2421805305400250, 0, -449248372416848, 1064770724418240, 0, 1061809405770960, 538636835010000, 0, -139680660390348, 143867314340960, 0, -1375268795200000, -995417054286384, 0, 908217651115888, 47671614976832, 0, -903132146981008, 858625574910840, 0, -617070969656636, 132189195705000, 0, -398129861034624, -138820397116134, 0, 918662839367500, -1625180691986432, 0, 16709826497504, -682631548875340, 0, -329501332833818, -2268891806505296, 0, -710521718148480, 366989566632500, 0, 660559232957908, 1313048859397824, 0, -258616225000000, 365237096596928, 0, 576034805986068, 240319178713152, 0, 610546848834560, -51296430234198, 0, -816980936534462, 356726076000000, 0, -239157271205944, -2573819422455960, 0, -480845358870000, 592594768375036, 0, -16869461663744, 671787137040704, 0, -2381545620817868, 304847631353952, 0, -393626050470576, 85463867187500, 0, -2114756364933542, 1923998517603120, 0, -214837014140000, -205844760074622, 0, -814104434455696, -2820717581800960, 0, 2558666455742712, -393329635051584, 0, -1389788119816730, 483902836900000, 0, -176825487928320, 957913626181326, 0, 1376419629800000, -369768957203200, 0, 1019514027319200, -1862878188879120, 0, 33232930569601, 149580432142344, 0, 258514411480224, -61282409182500, 0, -490564212581080, 485881022618880, 0, -1445509788765000, -590404504606812, 0, -1222897268399680, 912284722148352, 0, -1797247136780288, 1941188952677182, 0, -868430776500840, 289892055790000, 0, 1119494344561992, 202624788958136, 0, 471019366406250, -2108102282461672, 0, 913753666464256, 1206803722189772, 0, -568888165009296, 1097838344601600, 0, 805343350216664, -812953436705000, 0, -2359003965808722, 997770361400512, 0, -61646852400000, -597436167424362, 0, 171601836497630, -272087488003584, 0, 795224857267232, -1164597925322688, 0, -1770458592115840, -63052510937500, 0, -713339640136992, 27674655988032, 0, 430591881532500, 1170247896840960, 0, 3115800683010120, -1263716410301940, 0, -208952282397408, -1929531669222976, 0, 351312694849536, 2210777854412500, 0, 3159619041930188, 9119748023904, 0, 259168671300000, 61248473550726, 0, -388219341958406, 2040239117572376, 0, 1500317471640000, -1214556006780798, 0, 566807238831784, -1312194245120000, 0, 4181989477968176, 77147918236752, 0, 92891616720000, -2032850190770784, 0, 711696217397760, -646548703723280, 0, -1354679762076448, 585393149439840, 0, 5666613565248160, -1104438177837500, 0, 1263650746283376, -581958212408440, 0, 41503906250000, 150076003691316, 0, 2167291984831624, -1636708699086720, 0, 1364432471755920, -886445202106800, 0, -523525261128804, -353179902810000, 0, 435835422944768, -359708340852000, 0, 1647041826715000, -331810999154368, 0, 2634038970995600, -1105657377929400, 0, -2344535401285958, 1428363440192304, 0, 741079499852544, 570395835156250, 0, -480549811723779, 1581331594895360, 0, 278079249840000, -1060098104438652, 0, 4534371742573180, 915370584239384, 0, -1234972377932160, -2557726304659120, 0, -778263583885700, -593876865760000, 0, 1835757337932672, 86995109423616, 0, 1388441506618750, -2397077414724160, 0, -66336902540832, 2093751973635850, 0, -911393972426568, -1153780626700800, 0, 320569215541064, 425822941328750, 0, 3514767047570678, -158155456818240, 0, 467928186880000, 817087344960348, 0, 192981118392648, -103125055278624, 0, -4167688229220208, 2889118245660704, 0, -1103294184922832, -494866560615000, 0, -1402013728593472, -468065253030848, 0, 421908321875000, -488963337447424, 0, -3304295150015720, 60829431296220, 0, -6023981556842100, 269023733421744, 0, -1238168605094400, -377550132360000, 0, -643666229397840, 729120709087104, 0, -97383203435000, -638559476424312, 0, -2571990055350806, 5289903189884936, 0, -590216542567680, -330280749071854, 0, 1767518886374736, -111053250000000, 0, -2377499228764184, 410402102887480, 0, -1171505690573750, -1232098066521952, 0, -461984748450816, 453489853480270, 0, -1210655144138146, 1754361273125792, 0, 1428525505489264, 990074987447500, 0, -1946020635903502, -904013935546848, 0, -313984115960000, -369995547108702, 0, 442007990419288, 74421259493376, 0, 1729721993367984, 143469039915264, 0, 706442838692640, -2434939184020000, 0, 381504034544640, 290421848074406, 0, 2109383989460000, 760374009291840, 0, 2692937581094880, 682639142303580, 0, 1711798083802800, 5271360320993704, 0, -134283908386976, 883936573054375, 0, 3211554736792168, -390942956194560, 0, 626638403125000, -2110279090478184, 0, -231248849444620, 2918306829247936, 0, 418064775073792, 78183360766782, 0, 1129393407627700, 142883990200000, 0, 2906582219876832, 3810487255684536, 0, 270353267167500, 5406723206103296, 0, -1136945358152960, -700615984728044, 0, -1466662316065288, 81382730872832, 0, 122594909639776, -131230120312500, 0, -1902970107207722, 1279434488388672, 0, 1027142810400000, -1466614737577024, 0, 271223302687524, 101997007036032, 0, -4069154970668480, 2378794070600592, 0, 1998689465184770, -101304489125000, 0, 771950661549088, 589473126469946, 0, -92049459967500, -2286593874848640, 0, -606743124879360, -2249948009421300, 0, 657674080003132, -831928243160952, 0, 2886144901535488, -1749298294638750, 0, 3207984597771628, -2097762832559456, 0, -1307092374840000, 4221046095215248, 0, -2522798834222246, 1479167052307840, 0, 787480472723616, 378356640821280, 0, 5503230333683520, -1884051715840000, 0, 2030124462600696, 1560430082061690, 0, -556721894531250, 4449311326660480, 0, -1100864284692480, 2009609924556070, 0, 4187512278118452, -2928807713348928, 0, -3799455128862176, -728788196767500, 0, 786020392392592, 3488522518374684, 0, 199303997860000, -5056343048161862, 0, 1648352665517448, 93013449990720, 0, -920499224738968, -2500524880084536, 0, 1316236612519550, 174644531250000, 0, 219187548602368, -1770495600845874, 0, -1470346078625000, 659279861473728, 0, 1298424526710024, -5747701074281760, 0, -515602294685136, 5233131305780504, 0, 550250401318464, -414333787175000, 0, -2931014076994352, 5452331116110336, 0, 389121405365000, 742651658000328, 0, -2008275398839360, -2781361237859680, 0, 3377643070851840, 3601200642060382, 0, -881570774061922, 831302274600000, 0, -397954562965344, -1060622948776712, 0, 2056456074173750, -1022842936461920, 0, 1463816271262272, 75350961463770, 0, -57816147432008, 480285023433600, 0, -2498977956824832, 796251908265000, 0, 2249283142425318, 6765502766925280, 0, -307087900000000, -991667894842802, 0, -1788245600934916, -235560458020064, 0, -255619084455616, 2338537188055278, 0, -17315389438417, 2381011721865000, 0, 220681150970240, -8103558862278540, 0, -2274196814472500, 2148213159886848, 0, 1400949382774200, 4180704223297740, 0, 651330966826848, -1075783449242656, 0, 171424299150720, 1110070267968750, 0, -722448622319544, 953624445074336, 0, -2993966401930000, -3015723944137400, 0, 391698786551434, -1688255849372400, 0, -1030427957806240, 2090369147668642, 0, -130824708430256, 259988198400000, 0, 1084774364364040, 3939079329933276, 0, 2718807305756250, 3573178551383168, 0, 5133710185175040, -142168347506136, 0, -845211659460308, -1084801139378176, 0, 4319133160066704, 3069598114267500, 0, -97480147728742, 4065334574233240, 0, 183741726960000, -6274766628571022, 0, 860027616608090, 6645265925391360, 0, 6957134490211192, 347055809541664, 0, -1921497302278720, 429615407865000, 0, -1006763869440000, -4639547741656054, 0, -151849609375000, -222216379191040, 0, 5396778436211680, -242439402057640, 0, -7364614928799248, -1321215608513472, 0, 705373469653888, 1054736008313750, 0, -109164490482152, -1344979064882880, 0, 2772840428172500, -489632104678780, 0, -3554732929905312, -2543062579828064, 0, 4458176625423872, 3934944763557782, 0, -45827618452704, -714045687500000, 0, -7777064737662864, -446565060024024, 0, -109539556472500, -4554924462685352, 0, 851977061922176, -2394585379818750, 0, -632927526771456, -581753361057792, 0, 4245250628799488, 914820452745000, 0, 2626318564771238, -4588360062754160, 0, 1191807649200000, 2172806808576128, 0, -639929336461360, 4311272105396096, 0, 601242382856640, -5283453064163168, 0, -9813261523095340, -1850316974345000, 0, -3622957539279392, -1163794381210020, 0, -3017115945307500, -3087937077335040, 0, 3366281515999248, 3496555972127780, 0, -8764754154599988, -4890313896746656, 0, -1950605902479360, -1402910957800000, 0, 1724632916434582, -1699445930825472, 0, 928974156250000, -2092532036647272, 0, -1076413196031326, 2619379118739824, 0, -4262285593559360, -5861969182006638, 0, -147892976466600, -474290444480000, 0, -2290788341554664, 6994155526504996, 0, -700477094103750, 604149034323408, 0, -924400930346880, 5845437244560870, 0, -3568979990094308, -2151814524935808, 0, -2815534755865216, 493651227343750, 0, 1830904220709300, -9821109867131640, 0, -1464529139300000, -1908205485280704, 0, 465966294944920, -3388422560853120, 0, -6756825777945208, -7258637679560720, 0, 84614722943422, -460483041480000, 0, -4402865752848384, -2901392726430228, 0, 849652934750000, -219398955859776, 0, -3155279694942480, -2136401896473960, 0]}