# Stored data for newform 666.6.a.b, downloaded from the LMFDB on 12 March 2025.
{"Nk2": 23976, "analytic_conductor": 106.81562399544511, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [37, -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": [666, 1, [371, 631], [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": [[5, [-84, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599728034458, "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": "666.6.a.b", "level": 666, "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": [2, 3, 37], "level_radical": 222, "minimal_twist": "74.6.a.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-4q^{2}+2^{4}q^{4}+84q^{5}-139q^{7}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "666.6.a", "trace_display": [-4, 0, 84, -139], "trace_hash": 2206785780705073083, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.018", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.019", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.926", "prec": 17}], "trace_zratio": 0, "traces": [0, 1, -4, 0, 16, 84, 0, -139, -64, 0, -336, 147, 0, -280, 556, 0, 256, -978, 0, 1154, 1344, 0, -588, 1158, 0, 3931, 1120, 0, -2224, 3198, 0, -5932, -1024, 0, 3912, -11676, 0, 1369, -4616, 0, -5376, -10023, 0, -4036, 2352, 0, -4632, 11631, 0, 2514, -15724, 0, -4480, -11193, 0, 12348, 8896, 0, -12792, -24660, 0, -13360, 23728, 0, 4096, -23520, 0, -32860, -15648, 0, 46704, -60123, 0, 41915, -5476, 0, 18464, -20433, 0, -60898, 21504, 0, 40092, 80169, 0, -82152, 16144, 0, -9408, 131358, 0, 38920, 18528, 0, -46524, 96936, 0, -122872, -10056, 0, 62896, 188265, 0, 165248, 17920, 0, 44772, -100812, 0, -66058, -49392, 0, -35584, 122742, 0, 97272, 51168, 0, 98640, 135942, 0, -139442, 53440, 0, -94912, 67704, 0, -159469, -16384, 0, 94080, -1818, 0, -160406, 131440, 0, 62592, -368178, 0, 138788, -186816, 0, 240492, -41160, 0, 268632, -167660, 0, 21904, -495363, 0, -129784, -73856, 0, 81732, -498288, 0, -277993, 243592, 0, -86016, -160962, 0, 255620, -160368, 0, -320676, 308478, 0, -292893, 328608, 0, -64576, 314691, 0, -546409, 37632, 0, -525432, -717894, 0, -493603, -155680, 0, -74112, 114996, 0, -143766, 186096, 0, -387744, -890376, 0, 643760, 491488, 0, 40224, 767253, 0, -652642, -251584, 0, -753060, -444522, 0, -841932, -660992, 0, -71680, 169638, 0, -554923, -179088, 0, 403248, -339024, 0, 824548, 264232, 0, 197568, 273840, 0, -1222627, 142336, 0, -490968, -385128, 0, 834299, -389088, 0, -204672, 1324746, 0, 977004, -394560, 0, -543768, -1640214, 0, -1031746, 557768, 0, -213760, 211176, 0, -323120, 379648, 0, -270816, -1501236, 0, 170226, 637876, 0, 65536, -126288, 0, -190291, -376320, 0, 7272, -1069749, 0, -940212, 641624, 0, -525760, 680130, 0, 984575, -250368, 0, 1472712, 577857, 0, 1760000, -555152, 0, 747264, 102264, 0, -188740, -961968, 0, 164640, 1393197, 0, -463373, -1074528, 0, 670640, -252798, 0, -2071440, -87616, 0, 1981452, -324240, 0, 561004, 519136, 0, 295424, -1122240, 0, -1728151, -326928, 0, 1993152, 1097550, 0, 1453136, 1111972, 0, -974368, -42726, 0, 470106, 344064, 0, 643848, -1128612, 0, -1100680, -1022480, 0, 641472, -1616709, 0, -2398630, 1282704, 0, -1233912, -2760240, 0, -787393, 1171572, 0, -1314432, -872004, 0, 1986727, 258304, 0, -1258764, 275118, 0, -952402, 2185636, 0, -150528, -3272394, 0, -5050332, 2101728, 0, 2871576, -747351, 0, -1144383, 1974412, 0, 622720, 3520860, 0, -4083592, 296448, 0, -459984, 1555827, 0, 1578977, 575064, 0, -744384, -895440, 0, 2698661, 1550976, 0, 3561504, -2396508, 0, -1716372, -2575040, 0, -1965952, -2497140, 0, -1132524, -160896, 0, -3069012, -5115432, 0, 4785743, 2610568, 0, 1006336, 1462236, 0, 1660960, 3012240, 0, 1778088, 201243, 0, -76780, 3367728, 0, 2643968, 3427740, 0, 6734196, 286720, 0, -678552, -286677, 0, -3455806, 2219692, 0, 716352, -3844518, 0, 1857040, -1612992, 0, 1356096, 5924976, 0, 889733, -3298192, 0, -1056928, 1336332, 0, -2887708, -790272, 0, -1095360, 1208289, 0, 11034072, 4890508, 0, -569344, -4584270, 0, -1473381, 1963872, 0, 1540512, 3269280, 0, 2168384, -3337196, 0, 1556352, 2197536, 0, 1599002, 818688, 0, -5298984, -2986758, 0, 4567540, -3908016, 0, 1578240, -593292, 0, 4536374, 2175072, 0, 6560856, 2177898, 0, -383320, 4126984, 0, -2231072, -10321248, 0, -7870606, 855040, 0, -844704, -2033940, 0, -3127644, 1292480, 0, -1518592, 8357097, 0, 2502728, 1083264, 0, 6004944, 3533214, 0, 15814260, -680904, 0, -2551504, 8398359, 0, -5826185, -262144, 0, 505152, 13880832, 0, 1709757, 761164, 0, 1505280, 10075893, 0, 6176396, -29088, 0, 4278996, 5801496, 0, -5095379, 3760848, 0, -2566496, 2806440, 0, -8468208, 2103040, 0, -2720520, 369558, 0, -7890892, -3938300, 0, 1001472, -5548872, 0, -30892, -5890848, 0, -2311428, 3690492, 0, 8464822, -7040000, 0, 2220608, -1668210, 0, 1130080, -2989056, 0, -409056, -3533304, 0, 10310328, 754960, 0, 3847872, -2923260, 0, 3163409, -658560, 0, -5572788, 4552098, 0, -8927710, 1853492, 0, 4298112, -11143491, 0, -1645371, -2682560, 0, 1011192, -4594950, 0, -6845528, 8285760, 0, 350464, 14115933, 0, 11419128, -7925808, 0, 1296960, -2445855, 0, -14397034, -2244016, 0, -2076544, -11713128, 0, -9280378, -1181696, 0, 4488960, -3256680, 0, 6786011, 6912604, 0, 1307712, -13168881, 0, 5842013, -7972608, 0, -4390200, -18258762, 0, -6597239, -5812544, 0, -4447888, -1338882, 0, -9406186, 3897472, 0, 170904, -13395396, 0, -703920, -1880424, 0, -1376256, 13609833, 0, 20364506, -2575392, 0, 4514448, 8698470, 0, -3625020, 4402720, 0, 4089920, -10878540, 0, -152712, -2565888, 0, 6466836, 10472589, 0, 14392862, 9594520, 0, -5130816, -13474104, 0, 3703284, 4935648, 0, 11040960, -1963920, 0, 2284511, 3149572, 0, -4686288, -3914529, 0, 17079208, 5257728, 0, 3488016, -22230204, 0, -30926952, -7946908, 0, -1033216, 3134040, 0, 8014100, 5035056, 0, -1100472, 11658192, 0, 9802494, 3809608, 0, -8742544, 17231232, 0, 1579826, 602112, 0, 13089576, -26168835, 0, 3377606, 20201328, 0, -8406912, -6869256, 0, -3457440, -11486304, 0, 2989404, 7432923, 0, -22969472, 4577532, 0, -7897648, 12571338, 0, 12818822, -2490880, 0, -14083440, 3947208, 0, 8751599, 16334368, 0, -1185792, -4830420, 0, 11569277, 1839936, 0, -6223308, -22107903, 0, -41610492, -6315908, 0, -2300256, 14012868, 0, -16505317, 2977536, 0, 3581760, -10901856, 0, 13536650, -10794644, 0, -6203904, 7405551, 0, 9182062, -14246016, 0, 9586032, 6904800, 0, -26162542, 6865488, 0, 10300160, 5906121, 0, -23318692, 7863808, 0, 9988560, -11566542, 0, -8838081, 4530096, 0, 643584, -23351412, 0, -14681215, 12276048, 0, 20461728, -17061138, 0, 3740800, -19142972, 0, -10442272, 28122876, 0, -11375118, -4025344, 0, -5848944, 6161505, 0, -13520808, -6643840, 0, -12048960, 24421866, 0, -5686891, -7112352, 0, -804972, 21472080, 0, -4657544, 307120, 0, -13470912, 28372527, 0, -21248776, -10575872, 0, -13710960, 32794926, 0, -35543284, -26936784, 0, -1146880, -2458692, 0, 25912152, 2714208, 0, 1146708, 4543944, 0, -10283945, 13823224, 0, -8878768, -24603012, 0, 19382438, -2865408, 0, 15378072, 1585302, 0, 1823882, -7428160, 0, 6451968, 3784242, 0, 21331214, -5424384, 0, -23699904, -4097328, 0, 26434044, -3558932, 0, 13192768, -8952006, 0, 9200800, 4227712, 0, -5345328, -9410856, 0, 18225602, 11550832, 0, 3161088, -11160066, 0, 25985684, 4381440, 0, -4833156, -8837247, 0, 22166191, -44136288, 0, -19562032, 13422174, 0, -60303096, 2277376, 0, 18337080, -18970536, 0, 10946754, 5893524, 0, -7855488, -41462652, 0, 6352808, -6162048, 0, -13077120, -17506860, 0, 11784843, -8673536, 0, 13348784, 252702, 0, 33425912, -6225408, 0, -8790144, 16834440, 0, 5381539, -6396008, 0, -3274752, 45336618, 0, 2901156, 21195936, 0, 11947032, -12076344, 0, -31211719, -18270160, 0, 15632064, 9860346, 0, -11606634, -6312960, 0, 2373168, 11157846, 0, -11736200, -18145496, 0, -8700288, -240981, 0, -74791584, -26243424, 0, -8711592, 51176742, 0, 6559473, 1533280, 0, -16507936, 54075840, 0, 43278038, 8924288, 0, 41284992, 45112116, 0, -19291532, 31482424, 0, -3420160, 20873700, 0, 19309626, 3378816, 0, 8135760, -24093543, 0, 64449252, 12510576, 0, -5169920, -4673688, 0, -51844552, 6074368, 0, -33428388, -54821928, 0, -31044442, -10010912, 0, -4333056, 5721240, 0, 24117480, -24019776, 0, -14132856, -12916722, 0, 35421941, -63257040, 0, 2723616, 14931834, 0, -37339848, 10206016, 0, -33593436, -46936884, 0, -6600052, 23304740, 0, 1048576, -39400413, 0, 17051440, -2020608, 0, -55523328, 54672888, 0, -7584349, -6839028, 0, -3044656, 13066080, 0, 20500847, -6021120, 0, -40303572, 68855457, 0, 14249592, -24705584, 0, 116352, 58325736, 0, 4149842, -17115984, 0, -23205984, -46613532, 0, 18039976, 20381516, 0, -15043392, -56986098, 0, -57844159, 10265984, 0, -11225760, -18062184, 0, 54315302, 33872832, 0, -8412160, 4378062, 0, -15865516, 10882080, 0, -1478232, -22447320, 0, 13468698, 31563568, 0, 15753200, 69262032, 0, 28754528, -4005888, 0, 22195488, -5580558, 0, -21076408, 123568, 0, 23563392, -45420672, 0, 38641027, 9245712, 0, -14761968, -19613148, 0, 23002560, -33859288, 0, 28160000, 18107247, 0, 27674955, -8882432, 0, 6672840, -102700668, 0, 76519109, -4520320, 0, 11956224, -28457640, 0, -16012174, 1636224, 0, 14133216, 2911212, 0, 48788900, -41241312, 0, -3019840, 24291456, 0, -32350752, -15391488, 0, 11693040, 32137080, 0, -35531180, -12653636, 0, 2634240, 70081116, 0, -8120908, 22291152, 0, -18208392, 21530535, 0, -37763944, 35710840, 0, -7413968, -36780240, 0, -15417440, -17192448, 0, 44573964, 42293652, 0, 111278664, 6581484, 0, 10730240, -42878442, 0, 6823514, -4044768, 0, 18379800, 45721461, 0, -14819364, 27382112, 0, -33143040, 39734703, 0, 40712127, -1401856, 0, -56463732, 17979999, 0, -32053554, -45676512, 0, 31703232, 15920199, 0, -137777976, -5187840, 0, 9783420, -9710526, 0, -3009754, 57588136, 0, 8976064, -86666664, 0, 58800294, 8306176, 0, 46852512, -43742049, 0, 17719718, 37121512, 0, 4726784, -20513943, 0, -12961494, -17955840, 0, 13026720, -29494374, 0, 9882534, -27144044, 0, -27650416, 40090614, 0, -86115865, -5230848, 0, 52675524, -27142080, 0, 55699298, -23368052, 0, 31890432, -40992870, 0, 18043074, 17560800, 0, 73035048, -12907128, 0, -26039317, 26388956, 0, 23250176, 99787266, 0, -126103824, 17791552, 0, 5355528, 78694380, 0, 34404160, 37624744, 0, -15589888, 14298984, 0, 68610817, -683616, 0, 53581584, 59456436, 0, -37920440, 2815680, 0, 7521696, 37312728, 0, -77467768, 5505024, 0, -54439332, 95377176, 0, -10608192, -81458024, 0, 10301568, -26090718, 0, 72596033, -18057792, 0, -34793880, -15984444, 0, -18861388, 14500080, 0, -17610880, 27267612, 0, 65853554, -16359680, 0, 43514160, -93613548, 0, 19983474, 610848, 0, 10263552, -52714200, 0, -89858916, -25867344, 0, -41890356, -47745258, 0, -29228557, -57571448, 0, -38378080, -43999683, 0, -79988608, 20523264, 0, 53896416, -44172471, 0, 23941552, -14813136, 0, -19742592, 123762264, 0, -46269440, -44163840, 0, 7855680, 59558244, 0, 57130920, -9138044, 0, -12598288, -69381942, 0, -89482640, 18745152, 0, 15658116, 82704300, 0, -28556280, -68316832, 0, -21030912, -129564204, 0, 37195938, -13952064, 0, 88920816, -71543958, 0, 1874161, 123707808, 0, 31787632, 64876530, 0, 9952488, 4132864, 0, -12536160, -106648167, 0, 26464607, -32056400, 0, -20140224, 147840000, 0, 48369910, 4401888, 0, -46632768, 28227360, 0, 90717238, -39209976, 0, -15238432, -23441943, 0, 34274501, 34970176, 0, -68924928, -15470880, 0, 8590176, -6319304, 0, -2408448, 70217481, 0, -78405282, -52358304, 0, 104675340, -15854160, 0, 18496240, -13510424, 0, -80805312, 8039772, 0, 51734072, 33627648, 0, 27477024, 26015841, 0, 17687318, 13829760, 0, 45945216, 115229694, 0, 117028548, -11957616, 0, -29731692, 59363979, 0, -267246, 91877888, 0, -18310128, -38923332, 0, 83362577, 31590592, 0, -50285352, 125618160, 0, 44328599, -51275288, 0, 9963520, -68995092, 0, 103723409, 56333760, 0, -15788832, -23579682, 0, -21235032, -35006396, 0, -65337472, -34367760, 0, 34531073, 4743168, 0, 19321680, -96938460, 0, 77134297, -46277108, 0, -7359744, 43992483, 0, 135732011, 24893232, 0, 88431612, -33674427, 0, 119109626, 166441968, 0, 25263632, -69534138, 0, -27236160, 9201024, 0, -56051472, 76626156, 0, -70276292, 66021268, 0, -11910144, 47124336, 0, -54122166, -14327040, 0, 43607424, -162672732, 0, -128468124, -54146600, 0, 43178576, -13721487, 0, -14913048, 24815616, 0, -29622204, 12957996, 0, -52518160, -36728248, 0, 56984064, 20401836, 0, 94285226, -38344128, 0, -27619200, -145164684, 0, -35795214, 104650168, 0, -27461952, -38051880, 0, -170380099, -41200640, 0, -23624484, -38063760, 0, 170125580, 93274768, 0, -31455232, -30823914, 0, 92194200, -39954240, 0, 46266168, -93858498, 0, 169945153, 35352324, 0, -18120384, 122063424, 0, -7177498, -2574336, 0, 93405648, 13601682, 0, 39043760, 58724860, 0, -49104192, 92515026, 0, -58776427, -81846912, 0, 68244552, -137883204, 0, -3588984, -14963200, 0, 76571888, 53532792, 0, -5525284, 41769088, 0, -112491504, 39488904, 0, -138685510, 45500472, 0, 16101376, -63263682, 0, -115967561, 23395776, 0, -24646020, 102089304, 0, 51258470, 54083232, 0, 26575360, 109865904, 0, -94803408, 48195840, 0, -97687464, 43750983, 0, 176168369, 22747564, 0, 28449408, -18957120, 0, -94556632, 3219888, 0, -85888320, -184139694, 0, -69622434, 18630176, 0, -1228480, 138724491, 0, -72818361, 53883648, 0, -113490108, 66396876, 0, -135803556, 84995104, 0, 42303488, 120168816, 0, 44651320, 54843840, 0, -131179704, -201484920, 0, 193828898, 142173136, 0, 107747136, -19078248, 0, 3032456, 4587520, 0, 9834768, -28161858, 0, -145501642, -103648608, 0, -10856832, 227989746, 0, -129172660, -4586832, 0, -18175776, 48537570, 0, -15395672, 41135780, 0, -55292896, -66141012, 0, 143412694, 35515072, 0, 98412048, 151587132, 0, 184271582, -77529752, 0, 11461632, -44785284, 0, -142392793, -61512288, 0, -6341208, 509040, 0, -73248336, -7295528, 0, 29712640, -165772245, 0, -78862680, -25807872, 0, -15136968, 166885068, 0, -184123170, -85324856, 0, 21697536, -123845922, 0, 51988229, 94799616, 0, 16389312, -40864971, 0, 44913680, -105736176, 0, 14235728, -152770224, 0, 23109912, -52771072, 0, 35808024, 15922839, 0, 72606590, -36803200, 0, -16910848, -80001768, 0, 52236362, 21381312, 0, 37643424, -161612544, 0, -211109170, -72902408, 0, -46203328, 208671804, 0, 56003120, -12644352, 0, 44640264, 40452828, 0, -274881096, -103942736, 0, -17525760, -42725280, 0, -23661414, 19332624, 0, 35348988, -236343513, 0, -45663634, -88664764, 0, 176545152, 103089840, 0, 209016056, 78248128, 0, -53688696, -89567688, 0, -242645242, 241212384, 0, -9109504, 37576140, 0, -62777484, -73348320, 0, 75882144, 17554032, 0, -132006193, -43787016, 0, -23574096, -96128172, 0, -38860640, 31421952, 0, 165850608, -97753710, 0, 3441666, -25411232, 0, 24648192, -70519884, 0, 98594136, 52308480, 0, 70027440, -180770745, 0, 164767865, -47139372, 0, 34694144, 146283120, 0, 43368002, -53395136, 0, -1010808, -343021728, 0, 45346266, -133703648, 0, 24901632, 148695111, 0, -141794288, 35160576, 0, -67337760, -240263604, 0, -130719147, -21526156, 0, 25584032, 64604724, 0, 130689468, 13099008, 0, -181346472, -43055271, 0, -8834971, -11604624, 0, -84783744, 132634068, 0, -238163986, -47788128, 0, 48305376, -61227033, 0, -127522942, 124846876, 0, 73080640, -185088882, 0, -141510100, -62528256, 0, -39441384, -94538070, 0, -75216960, 46426536, 0, 25251840, -185081892, 0, 79251520, -9492672, 0, -44631384, 226687524, 0, -136855925, 46944800, 0, 72581984, -252402432, 0, 46259577, 34801152, 0, 963924, -239232480, 0, 92835702, 299166336, 0, 104973696, -173768709, 0, -201306672, 34846368, 0, -204706968, 217257810, 0, -120041676, -26237892, 0, -6133120, -80322123, 0, -116577513, 66031744, 0, -216303360, 276593817, 0, 146853833, -173112152, 0, -35697152, 138701640, 0, -244640000, -165139968, 0, -180448464, -105086280, 0, -209759760, 77166128, 0, -125929696, 134603037, 0, 238506899, 13680640, 0, -83494800, -95132016, 0, 190696192, -77238504, 0, -13515264, -15323217, 0, 36339520, -32543040, 0, 96374172, -14214696, 0, -105530418, -257797008, 0, -50042304, -134330970, 0, -239390038, 20679680, 0, 18694752, -27898842, 0, 26234860, 207378208, 0, -24297472, 402002412, 0, -139667323, 133713552, 0, 219287712, -72559641, 0, 7285796, 124177768, 0, 40043648, 57338667, 0, -33610867, 17332224, 0, -22884960, 20413398, 0, 122827824, -96469920, 0, 96079104, -25197822, 0, -160628554, 56531424, 0, 51666888, 139520640, 0, 134643998, -141687764, 0, 253028160, -46942716, 0, 64408847, -10894464, 0, -59727336, 38394912, 0, -174984328, 149359392, 0, -40824064, -116337048, 0, 16904412, 134373744, 0, 187747536, 86818107, 0, 77838040, 26400208, 0, -93218960, -6449520, 0, 152112564, -4194304, 0, 157601652, 35138922, 0, 157178648, -68205760, 0, 8082432, 136374276, 0, -192273354, 222093312, 0, -218691552, -229215963, 0, 287930160, 30337396, 0, 27356112, -315584805, 0, -76230932, 12178624, 0, -52264320, 315144339, 0, 194925520, -82003388, 0, 24084480, -232359177, 0, -124839847, 161214288, 0, -275421828, -43007748, 0, -143137042, -56998368, 0, 98822336, 45069360, 0, -24080868, -465408, 0, -233302944, -153538323, 0, -130885272, -16599368, 0, 68463936, -290287704, 0, -10146504, 92823936, 0, 186454128, 170687448, 0, 112878185, -72159904, 0, -81526064, 134044170, 0, -71573600, 60173568, 0, 227944392, 94632720, 0, -66214512, 231376636, 0, -41063936, 273214476, 0, 97673288, 44903040, 0, 72248736, 155991360, 0, 45539891, -217261208, 0, -135491328, 31997670, 0, -277239616, 33648640, 0, -17512248, 141644268, 0, 240212989, 63462064, 0, -43528320, -335752641, 0, 497697984, 5912928, 0, 89789280, 155960682, 0, 203224610, -53874792, 0, -126254272, 74737572, 0, 112786191, -63012800, 0, -277048128, -86373840, 0, 112187439, -115018112, 0, 16023552, -152559450, 0, 211365812, -88781952, 0, 22322232, -33759540, 0, 112251888, 84305632, 0, -494272, -95938374, 0, -201985904, -94253568, 0, 181682688, -242567472, 0, 185972080, -154564108, 0, -36982848, 356649636, 0, 322333988, 59047872, 0, 78452592, 207376866, 0, -94064846, -92010240, 0, 135437152, -209987490, 0, 101496276, -112640000, 0, -72428988, 5938914, 0, -241403143, -110699820, 0, 35529728, 516368298, 0, 1778004, -26691360, 0, 410802672, -142285776, 0, -65344734, -306076436, 0, 18081280, 69494562, 0, 180925952, -47824896, 0, 113830560, -409267914, 0, -385078680, 64048696, 0, -6544896, -88113480, 0, 205789610, -56532864, 0, -11644848, -123764004, 0, -18289840, -195155600, 0, 164965248, 156877068, 0, -248639780, 12079360, 0, -97165824, 177297192, 0, -221146351, 129403008, 0, 61565952, 415771749, 0, 152994520, -46772160, 0, -128548320, 45174948, 0, -143535646, 142124720, 0, 50614544, 182144256, 0, 64128152, -10536960, 0, -280324464, -194751804, 0, -228840691, 32483632, 0, -89164608, -291782727, 0, -160916068, 72833568, 0, -86122140, 29240334, 0, 184593024, 151055776, 0, -142843360, -144204840, 0, 217052132, 29655872, 0, 147120960, 134316168, 0, 333409570, 61669760, 0, 68769792, -81573681, 0, 218010870, -178295856, 0, -169174608, 201010320, 0, 360078084, -445114656, 0, -26325936, 349127304, 0, -250887672, -42920960, 0, 171513768, 83291256, 0, -425873419, -27294056, 0, 16179072, 383673360, 0, -181861357, -73519200, 0, -182885844, -160949442, 0, 138208840, 59277456, 0, -109528448, -239541111, 0, 109447627, 132572160, 0, -158938812, -135734664, 0, -49836528, -162848508, 0, 5607424, 191357184, 0, -444516580, 225854928, 0, -71919996, 78130416, 0, -219687937, 128214216, 0, 182706048, -8544786, 0, 333584114, -126812928, 0, -63680796, 121208556, 0, 163313666, 551111904, 0, 20751360, 252889230, 0, 182943432, -39133680, 0, 38842104, 35220696, 0, -318407851, 12039016, 0, -230352544, -32198880, 0, 256380462, -35904256, 0, 346666656, -278186274, 0, -184027226, -235201176, 0, -33224704, -40037571, 0, 247167180, -187410048, 0, 174968196, -105314652, 0, -483009832, -70878872, 0, -148486048, -38241402, 0, 40254480, -18907136, 0, 82055772, -661130904, 0, 213951038, 51845976, 0, 71823360, 134054319, 0, 132383878, -52106880, 0, 117977496, 415164768, 0, 361246936, -39530136, 0, 108576176, -179726169, 0, -170850960, 110601664, 0, -160362456, 214801080, 0, -116740296, 344463460, 0, 20923392, -262722096, 0, -431276443, -210702096, 0, 108568320, 454862766, 0, 146753582, -222797192, 0, 93472208, 126967326, 0, -44985340, -127561728, 0, 163971480, 249305280, 0, 701996148, -72172296, 0, -70243200, -2097972, 0, -130185783, -292140192, 0, 51628512, 210229152, 0, -56613816, 104157268, 0, -105555824, 133907280, 0, 279980282, -93000704, 0, -399149064, -76495164, 0, -180252800, 504415296, 0, -71166208, 103881789, 0, 296789976, -21422112, 0, -314777520, 122641953, 0, -59681608, -137616640, 0, -150498976, 740069715, 0, 159069237, 62359552, 0, -57195936, 219908004, 0, 484465014, -274443268, 0, 2734464, 99527760, 0, -570611824, -214326336, 0, -237825744, 473228088, 0, 705462156, 151681760, 0, -11262720, 116528634, 0, 319921280, -30086784, 0, -149250912, -489399540, 0, -347465131, 309871072, 0, -22020096, -214830840, 0, 194737662, 217757328, 0, -381508704, 126928752, 0, 567619288, 42432768, 0, 325832096, -475562508, 0, 649589888, -41206272, 0, 104362872, 257942292, 0, 420082884, -290384132, 0, 72231168, 143619588, 0, 182739760, 139175520, 0, 63937776, 352219455, 0, 573360626, 75445552, 0, -58000320, -28139202, 0, 142135236, 70443520, 0, -109070448, -424877412, 0, 846375012, -263414216, 0, 65438720, 404010060, 0, -219477803, -174056640, 0, 374454192, 518817264, 0, 326049953, -79933896, 0, -2443392, 184650492, 0, 53920960, -41054208, 0, 210856800, -82308387, 0, -241111458, 359435664, 0, 103469376, -167792124, 0, 487325664, 167561424, 0, 190981032, 124466160, 0, 160161352, 116914228, 0, 230285792, -428011836, 0, -319713694, 153512320, 0, 175998732, -151666662, 0, -375113879, 319954432, 0, -82093056, 414013230, 0, -362108890, -215585664, 0, 176689884, -256600071, 0, 235740960, -95766208, 0, 59252544, 271877154, 0, 445963973, 78970368, 0, -495049056, -396291972, 0, -134968384, 185077760, 0, 176655360, 333114612, 0, -112468012, -31422720, 0, -238232976, 406430160, 0, -386188609, -228523680, 0, 36552176, -100350978, 0, 31042872, 50393152, 0, 277527768, 542389350, 0, 57381635, 357930560, 0, -74980608, -662834928, 0, 30052742, -62632464, 0, -330817200, -429820719, 0, -526396906, 114225120, 0, 273267328, -47498640, 0, 602646950, 84123648, 0, 518256816, 347102460, 0, -259673998, -148783752, 0, 55808256, -281855397, 0, -586755523, -355683264, 0, 286175832, -2594928, 0, 157420836, -7496644, 0, -494831232, -379734342, 0, 155378440, -127150528, 0, -259506120, 329355780, 0, -169509907, -39809952, 0, -16531456, 24252870, 0, 310001328, 50144640, 0, 426592668, -779215656, 0, -220681692, -105858428, 0, 128225600, 711045048, 0, -610314346, 80560896, 0, -591360000, -249996360, 0, -286820460, -193479640, 0, -17607552, 694649790, 0, -665218277, 186531072, 0, -112909440, -161473836, 0, -140129640, -362868952, 0, 156839904, -423962730, 0, 125728229, 60953728, 0, 93767772, 94926720, 0, -26252662, -137098004, 0, -139880704, 16269690, 0, -661515436, 275699712, 0, 61883520, -203250804, 0, -292912244, -34360704, 0, 25277216, -392944656, 0, -296797536, 9633792, 0, -280869924, -785117925, 0, -230873440, 313621128, 0, 209433216, 482498802, 0, -18564336, -418701360, 0, 63416640, -571648902, 0, -531992317, -73984960, 0, 54041696, 522927717, 0, -301691484, 323221248, 0, -32159088, 724427784, 0, -245553840, -206936288, 0, -134510592, -27972777, 0, -473189728, -109908096, 0, -104063364, 265726356, 0, -115316452, -70749272, 0, -55319040, -460231638, 0, 10672420, -183780864, 0, -460918776, -155390160, 0, -149770736, -468114192, 0, 47830464, 286449354, 0, 78401232, 118926768, 0, -237455916, 342741480, 0, 132622960, 1068984, 0, -367511552, -749927640, 0, -176400805, 73240512, 0, 155693328, -61995240, 0, -157253103, -333450308, 0, -126362368, 519977646, 0, 342335560, 201141408, 0, -502472640, -767115216, 0, -936053244, -177314396, 0, 205101152, 566324562, 0, 602612829, -39854080, 0, 275980368, -138211164, 0, 453389402, -414893636, 0, -225335040, -184665102, 0, -83369362, 63155328, 0, 94318728, 67050612, 0, 602071470, 84940128, 0, 140025584, 39848103, 0, -385975800, 261349888, 0, 137471040, -342584019, 0, -307767798, -138124292, 0, -18972672, -575024352, 0, 480357034, -77286720, 0, 387753840, 107835840, 0, -543810994, -308537188, 0, 185108432, 714959481, 0, 99979110, 29438976, 0, -175969932, -412620156, 0, 1185738372, -542928044, 0, -99572928, -409133193, 0, 428320568, -353726448, 0, 134697708, 534388002, 0, -233603720, -476438504, 0, -665767872, 144732525, 0, -320803922, -101054528, 0, 278136552, 528463104, 0, -33587040, 108944640, 0, -36804096, -420114045, 0, -205451820, 224205888, 0, -306504624, -475643316, 0], "weight": 6, "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, -4, 0, 16, 84, 0, -139, -64, 0, -336, 147, 0, -280, 556, 0, 256, -978, 0, 1154, 1344, 0, -588, 1158, 0, 3931, 1120, 0, -2224, 3198, 0, -5932, -1024, 0, 3912, -11676, 0, 1369, -4616, 0, -5376, -10023, 0, -4036, 2352, 0, -4632, 11631, 0, 2514, -15724, 0, -4480, -11193, 0, 12348, 8896, 0, -12792, -24660, 0, -13360, 23728, 0, 4096, -23520, 0, -32860, -15648, 0, 46704, -60123, 0, 41915, -5476, 0, 18464, -20433, 0, -60898, 21504, 0, 40092, 80169, 0, -82152, 16144, 0, -9408, 131358, 0, 38920, 18528, 0, -46524, 96936, 0, -122872, -10056, 0, 62896, 188265, 0, 165248, 17920, 0, 44772, -100812, 0, -66058, -49392, 0, -35584, 122742, 0, 97272, 51168, 0, 98640, 135942, 0, -139442, 53440, 0, -94912, 67704, 0, -159469, -16384, 0, 94080, -1818, 0, -160406, 131440, 0, 62592, -368178, 0, 138788, -186816, 0, 240492, -41160, 0, 268632, -167660, 0, 21904, -495363, 0, -129784, -73856, 0, 81732, -498288, 0, -277993, 243592, 0, -86016, -160962, 0, 255620, -160368, 0, -320676, 308478, 0, -292893, 328608, 0, -64576, 314691, 0, -546409, 37632, 0, -525432, -717894, 0, -493603, -155680, 0, -74112, 114996, 0, -143766, 186096, 0, -387744, -890376, 0, 643760, 491488, 0, 40224, 767253, 0, -652642, -251584, 0, -753060, -444522, 0, -841932, -660992, 0, -71680, 169638, 0, -554923, -179088, 0, 403248, -339024, 0, 824548, 264232, 0, 197568, 273840, 0, -1222627, 142336, 0, -490968, -385128, 0, 834299, -389088, 0, -204672, 1324746, 0, 977004, -394560, 0, -543768, -1640214, 0, -1031746, 557768, 0, -213760, 211176, 0, -323120, 379648, 0, -270816, -1501236, 0, 170226, 637876, 0, 65536, -126288, 0, -190291, -376320, 0, 7272, -1069749, 0, -940212, 641624, 0, -525760, 680130, 0, 984575, -250368, 0, 1472712, 577857, 0, 1760000, -555152, 0, 747264, 102264, 0, -188740, -961968, 0, 164640, 1393197, 0, -463373, -1074528, 0, 670640, -252798, 0, -2071440, -87616, 0, 1981452, -324240, 0, 561004, 519136, 0, 295424, -1122240, 0, -1728151, -326928, 0, 1993152, 1097550, 0, 1453136, 1111972, 0, -974368, -42726, 0, 470106, 344064, 0, 643848, -1128612, 0, -1100680, -1022480, 0, 641472, -1616709, 0, -2398630, 1282704, 0, -1233912, -2760240, 0, -787393, 1171572, 0, -1314432, -872004, 0, 1986727, 258304, 0, -1258764, 275118, 0, -952402, 2185636, 0, -150528, -3272394, 0, -5050332, 2101728, 0, 2871576, -747351, 0, -1144383, 1974412, 0, 622720, 3520860, 0, -4083592, 296448, 0, -459984, 1555827, 0, 1578977, 575064, 0, -744384, -895440, 0, 2698661, 1550976, 0, 3561504, -2396508, 0, -1716372, -2575040, 0, -1965952, -2497140, 0, -1132524, -160896, 0, -3069012, -5115432, 0, 4785743, 2610568, 0, 1006336, 1462236, 0, 1660960, 3012240, 0, 1778088, 201243, 0, -76780, 3367728, 0, 2643968, 3427740, 0, 6734196, 286720, 0, -678552, -286677, 0, -3455806, 2219692, 0, 716352, -3844518, 0, 1857040, -1612992, 0, 1356096, 5924976, 0, 889733, -3298192, 0, -1056928, 1336332, 0, -2887708, -790272, 0, -1095360, 1208289, 0, 11034072, 4890508, 0, -569344, -4584270, 0, -1473381, 1963872, 0, 1540512, 3269280, 0, 2168384, -3337196, 0, 1556352, 2197536, 0, 1599002, 818688, 0, -5298984, -2986758, 0, 4567540, -3908016, 0, 1578240, -593292, 0, 4536374, 2175072, 0, 6560856, 2177898, 0, -383320, 4126984, 0, -2231072, -10321248, 0, -7870606, 855040, 0, -844704, -2033940, 0, -3127644, 1292480, 0, -1518592, 8357097, 0, 2502728, 1083264, 0, 6004944, 3533214, 0, 15814260, -680904, 0, -2551504, 8398359, 0, -5826185, -262144, 0, 505152, 13880832, 0, 1709757, 761164, 0, 1505280, 10075893, 0, 6176396, -29088, 0, 4278996, 5801496, 0, -5095379, 3760848, 0, -2566496, 2806440, 0, -8468208, 2103040, 0, -2720520, 369558, 0, -7890892, -3938300, 0, 1001472, -5548872, 0, -30892, -5890848, 0, -2311428, 3690492, 0, 8464822, -7040000, 0, 2220608, -1668210, 0, 1130080, -2989056, 0, -409056, -3533304, 0, 10310328, 754960, 0, 3847872, -2923260, 0, 3163409, -658560, 0, -5572788, 4552098, 0, -8927710, 1853492, 0, 4298112, -11143491, 0, -1645371, -2682560, 0, 1011192, -4594950, 0, -6845528, 8285760, 0, 350464, 14115933, 0, 11419128, -7925808, 0, 1296960, -2445855, 0, -14397034, -2244016, 0, -2076544, -11713128, 0, -9280378, -1181696, 0, 4488960, -3256680, 0, 6786011, 6912604, 0, 1307712, -13168881, 0, 5842013, -7972608, 0, -4390200, -18258762, 0, -6597239, -5812544, 0, -4447888, -1338882, 0, -9406186, 3897472, 0, 170904, -13395396, 0, -703920, -1880424, 0, -1376256, 13609833, 0, 20364506, -2575392, 0, 4514448, 8698470, 0, -3625020, 4402720, 0, 4089920, -10878540, 0, -152712, -2565888, 0, 6466836, 10472589, 0, 14392862, 9594520, 0, -5130816, -13474104, 0, 3703284, 4935648, 0, 11040960, -1963920, 0, 2284511, 3149572, 0, -4686288, -3914529, 0, 17079208, 5257728, 0, 3488016, -22230204, 0, -30926952, -7946908, 0, -1033216, 3134040, 0, 8014100, 5035056, 0, -1100472, 11658192, 0, 9802494, 3809608, 0, -8742544, 17231232, 0, 1579826, 602112, 0, 13089576, -26168835, 0, 3377606, 20201328, 0, -8406912, -6869256, 0, -3457440, -11486304, 0, 2989404, 7432923, 0, -22969472, 4577532, 0, -7897648, 12571338, 0, 12818822, -2490880, 0, -14083440, 3947208, 0, 8751599, 16334368, 0, -1185792, -4830420, 0, 11569277, 1839936, 0, -6223308, -22107903, 0, -41610492, -6315908, 0, -2300256, 14012868, 0, -16505317, 2977536, 0, 3581760, -10901856, 0, 13536650, -10794644, 0, -6203904, 7405551, 0, 9182062, -14246016, 0, 9586032, 6904800, 0, -26162542, 6865488, 0, 10300160, 5906121, 0, -23318692, 7863808, 0, 9988560, -11566542, 0, -8838081, 4530096, 0, 643584, -23351412, 0, -14681215, 12276048, 0, 20461728, -17061138, 0, 3740800, -19142972, 0, -10442272, 28122876, 0, -11375118, -4025344, 0, -5848944, 6161505, 0, -13520808, -6643840, 0, -12048960, 24421866, 0, -5686891, -7112352, 0, -804972, 21472080, 0, -4657544, 307120, 0, -13470912, 28372527, 0, -21248776, -10575872, 0, -13710960, 32794926, 0, -35543284, -26936784, 0, -1146880, -2458692, 0, 25912152, 2714208, 0, 1146708, 4543944, 0, -10283945, 13823224, 0, -8878768, -24603012, 0, 19382438, -2865408, 0, 15378072, 1585302, 0, 1823882, -7428160, 0, 6451968, 3784242, 0, 21331214, -5424384, 0, -23699904, -4097328, 0, 26434044, -3558932, 0, 13192768, -8952006, 0, 9200800, 4227712, 0, -5345328, -9410856, 0, 18225602, 11550832, 0, 3161088, -11160066, 0, 25985684, 4381440, 0, -4833156, -8837247, 0, 22166191, -44136288, 0, -19562032, 13422174, 0, -60303096, 2277376, 0, 18337080, -18970536, 0, 10946754, 5893524, 0, -7855488, -41462652, 0, 6352808, -6162048, 0, -13077120, -17506860, 0, 11784843, -8673536, 0, 13348784, 252702, 0, 33425912, -6225408, 0, -8790144, 16834440, 0, 5381539, -6396008, 0, -3274752, 45336618, 0, 2901156, 21195936, 0, 11947032, -12076344, 0, -31211719, -18270160, 0, 15632064, 9860346, 0, -11606634, -6312960, 0, 2373168, 11157846, 0, -11736200, -18145496, 0, -8700288, -240981, 0, -74791584, -26243424, 0, -8711592, 51176742, 0, 6559473, 1533280, 0, -16507936, 54075840, 0, 43278038, 8924288, 0, 41284992, 45112116, 0, -19291532, 31482424, 0, -3420160, 20873700, 0, 19309626, 3378816, 0, 8135760, -24093543, 0, 64449252, 12510576, 0, -5169920, -4673688, 0, -51844552, 6074368, 0, -33428388, -54821928, 0, -31044442, -10010912, 0, -4333056, 5721240, 0, 24117480, -24019776, 0, -14132856, -12916722, 0, 35421941, -63257040, 0, 2723616, 14931834, 0, -37339848, 10206016, 0, -33593436, -46936884, 0, -6600052, 23304740, 0, 1048576, -39400413, 0, 17051440, -2020608, 0, -55523328, 54672888, 0, -7584349, -6839028, 0, -3044656, 13066080, 0, 20500847, -6021120, 0, -40303572, 68855457, 0, 14249592, -24705584, 0, 116352, 58325736, 0, 4149842, -17115984, 0, -23205984, -46613532, 0, 18039976, 20381516, 0, -15043392, -56986098, 0, -57844159, 10265984, 0, -11225760, -18062184, 0, 54315302, 33872832, 0, -8412160, 4378062, 0, -15865516, 10882080, 0, -1478232, -22447320, 0, 13468698, 31563568, 0, 15753200, 69262032, 0, 28754528, -4005888, 0, 22195488, -5580558, 0, -21076408, 123568, 0, 23563392, -45420672, 0, 38641027, 9245712, 0, -14761968, -19613148, 0, 23002560, -33859288, 0, 28160000, 18107247, 0, 27674955, -8882432, 0, 6672840, -102700668, 0, 76519109, -4520320, 0, 11956224, -28457640, 0, -16012174, 1636224, 0, 14133216, 2911212, 0, 48788900, -41241312, 0, -3019840, 24291456, 0, -32350752, -15391488, 0, 11693040, 32137080, 0, -35531180, -12653636, 0, 2634240, 70081116, 0, -8120908, 22291152, 0, -18208392, 21530535, 0, -37763944, 35710840, 0, -7413968, -36780240, 0, -15417440, -17192448, 0, 44573964, 42293652, 0, 111278664, 6581484, 0, 10730240, -42878442, 0, 6823514, -4044768, 0, 18379800, 45721461, 0, -14819364, 27382112, 0, -33143040, 39734703, 0, 40712127, -1401856, 0, -56463732, 17979999, 0, -32053554, -45676512, 0, 31703232, 15920199, 0, -137777976, -5187840, 0, 9783420, -9710526, 0, -3009754, 57588136, 0, 8976064, -86666664, 0, 58800294, 8306176, 0, 46852512, -43742049, 0, 17719718, 37121512, 0, 4726784, -20513943, 0, -12961494, -17955840, 0, 13026720, -29494374, 0, 9882534, -27144044, 0, -27650416, 40090614, 0, -86115865, -5230848, 0, 52675524, -27142080, 0, 55699298, -23368052, 0, 31890432, -40992870, 0, 18043074, 17560800, 0, 73035048, -12907128, 0, -26039317, 26388956, 0, 23250176, 99787266, 0, -126103824, 17791552, 0, 5355528, 78694380, 0, 34404160, 37624744, 0, -15589888, 14298984, 0, 68610817, -683616, 0, 53581584, 59456436, 0, -37920440, 2815680, 0, 7521696, 37312728, 0, -77467768, 5505024, 0, -54439332, 95377176, 0, -10608192, -81458024, 0, 10301568, -26090718, 0, 72596033, -18057792, 0, -34793880, -15984444, 0, -18861388, 14500080, 0, -17610880, 27267612, 0, 65853554, -16359680, 0, 43514160, -93613548, 0, 19983474, 610848, 0, 10263552, -52714200, 0, -89858916, -25867344, 0, -41890356, -47745258, 0, -29228557, -57571448, 0, -38378080, -43999683, 0, -79988608, 20523264, 0, 53896416, -44172471, 0, 23941552, -14813136, 0, -19742592, 123762264, 0, -46269440, -44163840, 0, 7855680, 59558244, 0, 57130920, -9138044, 0, -12598288, -69381942, 0, -89482640, 18745152, 0, 15658116, 82704300, 0, -28556280, -68316832, 0, -21030912, -129564204, 0, 37195938, -13952064, 0, 88920816, -71543958, 0, 1874161, 123707808, 0, 31787632, 64876530, 0, 9952488, 4132864, 0, -12536160, -106648167, 0, 26464607, -32056400, 0, -20140224, 147840000, 0, 48369910, 4401888, 0, -46632768, 28227360, 0, 90717238, -39209976, 0, -15238432, -23441943, 0, 34274501, 34970176, 0, -68924928, -15470880, 0, 8590176, -6319304, 0, -2408448, 70217481, 0, -78405282, -52358304, 0, 104675340, -15854160, 0, 18496240, -13510424, 0, -80805312, 8039772, 0, 51734072, 33627648, 0, 27477024, 26015841, 0, 17687318, 13829760, 0, 45945216, 115229694, 0, 117028548, -11957616, 0, -29731692, 59363979, 0, -267246, 91877888, 0, -18310128, -38923332, 0, 83362577, 31590592, 0, -50285352, 125618160, 0, 44328599, -51275288, 0, 9963520, -68995092, 0, 103723409, 56333760, 0, -15788832, -23579682, 0, -21235032, -35006396, 0, -65337472, -34367760, 0, 34531073, 4743168, 0, 19321680, -96938460, 0, 77134297, -46277108, 0, -7359744, 43992483, 0, 135732011, 24893232, 0, 88431612, -33674427, 0, 119109626, 166441968, 0, 25263632, -69534138, 0, -27236160, 9201024, 0, -56051472, 76626156, 0, -70276292, 66021268, 0, -11910144, 47124336, 0, -54122166, -14327040, 0, 43607424, -162672732, 0, -128468124, -54146600, 0, 43178576, -13721487, 0, -14913048, 24815616, 0, -29622204, 12957996, 0, -52518160, -36728248, 0, 56984064, 20401836, 0, 94285226, -38344128, 0, -27619200, -145164684, 0, -35795214, 104650168, 0, -27461952, -38051880, 0, -170380099, -41200640, 0, -23624484, -38063760, 0, 170125580, 93274768, 0, -31455232, -30823914, 0, 92194200, -39954240, 0, 46266168, -93858498, 0, 169945153, 35352324, 0, -18120384, 122063424, 0, -7177498, -2574336, 0, 93405648, 13601682, 0, 39043760, 58724860, 0, -49104192, 92515026, 0, -58776427, -81846912, 0, 68244552, -137883204, 0, -3588984, -14963200, 0, 76571888, 53532792, 0, -5525284, 41769088, 0, -112491504, 39488904, 0, -138685510, 45500472, 0, 16101376, -63263682, 0, -115967561, 23395776, 0, -24646020, 102089304, 0, 51258470, 54083232, 0, 26575360, 109865904, 0, -94803408, 48195840, 0, -97687464, 43750983, 0, 176168369, 22747564, 0, 28449408, -18957120, 0, -94556632, 3219888, 0, -85888320, -184139694, 0, -69622434, 18630176, 0, -1228480, 138724491, 0, -72818361, 53883648, 0, -113490108, 66396876, 0, -135803556, 84995104, 0, 42303488, 120168816, 0, 44651320, 54843840, 0, -131179704, -201484920, 0, 193828898, 142173136, 0, 107747136, -19078248, 0, 3032456, 4587520, 0, 9834768, -28161858, 0, -145501642, -103648608, 0, -10856832, 227989746, 0, -129172660, -4586832, 0, -18175776, 48537570, 0, -15395672, 41135780, 0, -55292896, -66141012, 0, 143412694, 35515072, 0, 98412048, 151587132, 0, 184271582, -77529752, 0, 11461632, -44785284, 0, -142392793, -61512288, 0, -6341208, 509040, 0, -73248336, -7295528, 0, 29712640, -165772245, 0, -78862680, -25807872, 0, -15136968, 166885068, 0, -184123170, -85324856, 0, 21697536, -123845922, 0, 51988229, 94799616, 0, 16389312, -40864971, 0, 44913680, -105736176, 0, 14235728, -152770224, 0, 23109912, -52771072, 0, 35808024, 15922839, 0, 72606590, -36803200, 0, -16910848, -80001768, 0, 52236362, 21381312, 0, 37643424, -161612544, 0, -211109170, -72902408, 0, -46203328, 208671804, 0, 56003120, -12644352, 0, 44640264, 40452828, 0, -274881096, -103942736, 0, -17525760, -42725280, 0, -23661414, 19332624, 0, 35348988, -236343513, 0, -45663634, -88664764, 0, 176545152, 103089840, 0, 209016056, 78248128, 0, -53688696, -89567688, 0, -242645242, 241212384, 0, -9109504, 37576140, 0, -62777484, -73348320, 0, 75882144, 17554032, 0, -132006193, -43787016, 0, -23574096, -96128172, 0, -38860640, 31421952, 0, 165850608, -97753710, 0, 3441666, -25411232, 0, 24648192, -70519884, 0, 98594136, 52308480, 0, 70027440, -180770745, 0, 164767865, -47139372, 0, 34694144, 146283120, 0, 43368002, -53395136, 0, -1010808, -343021728, 0, 45346266, -133703648, 0, 24901632, 148695111, 0, -141794288, 35160576, 0, -67337760, -240263604, 0, -130719147, -21526156, 0, 25584032, 64604724, 0, 130689468, 13099008, 0, -181346472, -43055271, 0, -8834971, -11604624, 0, -84783744, 132634068, 0, -238163986, -47788128, 0, 48305376, -61227033, 0, -127522942, 124846876, 0, 73080640, -185088882, 0, -141510100, -62528256, 0, -39441384, -94538070, 0, -75216960, 46426536, 0, 25251840, -185081892, 0, 79251520, -9492672, 0, -44631384, 226687524, 0, -136855925, 46944800, 0, 72581984, -252402432, 0, 46259577, 34801152, 0, 963924, -239232480, 0, 92835702, 299166336, 0, 104973696, -173768709, 0, -201306672, 34846368, 0, -204706968, 217257810, 0, -120041676, -26237892, 0, -6133120, -80322123, 0, -116577513, 66031744, 0, -216303360, 276593817, 0, 146853833, -173112152, 0, -35697152, 138701640, 0, -244640000, -165139968, 0, -180448464, -105086280, 0, -209759760, 77166128, 0, -125929696, 134603037, 0, 238506899, 13680640, 0, -83494800, -95132016, 0, 190696192, -77238504, 0, -13515264, -15323217, 0, 36339520, -32543040, 0, 96374172, -14214696, 0, -105530418, -257797008, 0, -50042304, -134330970, 0, -239390038, 20679680, 0, 18694752, -27898842, 0, 26234860, 207378208, 0, -24297472, 402002412, 0, -139667323, 133713552, 0, 219287712, -72559641, 0, 7285796, 124177768, 0, 40043648, 57338667, 0, -33610867, 17332224, 0, -22884960, 20413398, 0, 122827824, -96469920, 0, 96079104, -25197822, 0, -160628554, 56531424, 0, 51666888, 139520640, 0, 134643998, -141687764, 0, 253028160, -46942716, 0, 64408847, -10894464, 0, -59727336, 38394912, 0, -174984328, 149359392, 0, -40824064, -116337048, 0, 16904412, 134373744, 0, 187747536, 86818107, 0, 77838040, 26400208, 0, -93218960, -6449520, 0, 152112564, -4194304, 0, 157601652, 35138922, 0, 157178648, -68205760, 0, 8082432, 136374276, 0, -192273354, 222093312, 0, -218691552, -229215963, 0, 287930160, 30337396, 0, 27356112, -315584805, 0, -76230932, 12178624, 0, -52264320, 315144339, 0, 194925520, -82003388, 0, 24084480, -232359177, 0, -124839847, 161214288, 0, -275421828, -43007748, 0, -143137042, -56998368, 0, 98822336, 45069360, 0, -24080868, -465408, 0, -233302944, -153538323, 0, -130885272, -16599368, 0, 68463936, -290287704, 0, -10146504, 92823936, 0, 186454128, 170687448, 0, 112878185, -72159904, 0, -81526064, 134044170, 0, -71573600, 60173568, 0, 227944392, 94632720, 0, -66214512, 231376636, 0, -41063936, 273214476, 0, 97673288, 44903040, 0, 72248736, 155991360, 0, 45539891, -217261208, 0, -135491328, 31997670, 0, -277239616, 33648640, 0, -17512248, 141644268, 0, 240212989, 63462064, 0, -43528320, -335752641, 0, 497697984, 5912928, 0, 89789280, 155960682, 0, 203224610, -53874792, 0, -126254272, 74737572, 0, 112786191, -63012800, 0, -277048128, -86373840, 0, 112187439, -115018112, 0, 16023552, -152559450, 0, 211365812, -88781952, 0, 22322232, -33759540, 0, 112251888, 84305632, 0, -494272, -95938374, 0, -201985904, -94253568, 0, 181682688, -242567472, 0, 185972080, -154564108, 0, -36982848, 356649636, 0, 322333988, 59047872, 0, 78452592, 207376866, 0, -94064846, -92010240, 0, 135437152, -209987490, 0, 101496276, -112640000, 0, -72428988, 5938914, 0, -241403143, -110699820, 0, 35529728, 516368298, 0, 1778004, -26691360, 0, 410802672, -142285776, 0, -65344734, -306076436, 0, 18081280, 69494562, 0, 180925952, -47824896, 0, 113830560, -409267914, 0, -385078680, 64048696, 0, -6544896, -88113480, 0, 205789610, -56532864, 0, -11644848, -123764004, 0, -18289840, -195155600, 0, 164965248, 156877068, 0, -248639780, 12079360, 0, -97165824, 177297192, 0, -221146351, 129403008, 0, 61565952, 415771749, 0, 152994520, -46772160, 0, -128548320, 45174948, 0, -143535646, 142124720, 0, 50614544, 182144256, 0, 64128152, -10536960, 0, -280324464, -194751804, 0, -228840691, 32483632, 0, -89164608, -291782727, 0, -160916068, 72833568, 0, -86122140, 29240334, 0, 184593024, 151055776, 0, -142843360, -144204840, 0, 217052132, 29655872, 0, 147120960, 134316168, 0, 333409570, 61669760, 0, 68769792, -81573681, 0, 218010870, -178295856, 0, -169174608, 201010320, 0, 360078084, -445114656, 0, -26325936, 349127304, 0, -250887672, -42920960, 0, 171513768, 83291256, 0, -425873419, -27294056, 0, 16179072, 383673360, 0, -181861357, -73519200, 0, -182885844, -160949442, 0, 138208840, 59277456, 0, -109528448, -239541111, 0, 109447627, 132572160, 0, -158938812, -135734664, 0, -49836528, -162848508, 0, 5607424, 191357184, 0, -444516580, 225854928, 0, -71919996, 78130416, 0, -219687937, 128214216, 0, 182706048, -8544786, 0, 333584114, -126812928, 0, -63680796, 121208556, 0, 163313666, 551111904, 0, 20751360, 252889230, 0, 182943432, -39133680, 0, 38842104, 35220696, 0, -318407851, 12039016, 0, -230352544, -32198880, 0, 256380462, -35904256, 0, 346666656, -278186274, 0, -184027226, -235201176, 0, -33224704, -40037571, 0, 247167180, -187410048, 0, 174968196, -105314652, 0, -483009832, -70878872, 0, -148486048, -38241402, 0, 40254480, -18907136, 0, 82055772, -661130904, 0, 213951038, 51845976, 0, 71823360, 134054319, 0, 132383878, -52106880, 0, 117977496, 415164768, 0, 361246936, -39530136, 0, 108576176, -179726169, 0, -170850960, 110601664, 0, -160362456, 214801080, 0, -116740296, 344463460, 0, 20923392, -262722096, 0, -431276443, -210702096, 0, 108568320, 454862766, 0, 146753582, -222797192, 0, 93472208, 126967326, 0, -44985340, -127561728, 0, 163971480, 249305280, 0, 701996148, -72172296, 0, -70243200, -2097972, 0, -130185783, -292140192, 0, 51628512, 210229152, 0, -56613816, 104157268, 0, -105555824, 133907280, 0, 279980282, -93000704, 0, -399149064, -76495164, 0, -180252800, 504415296, 0, -71166208, 103881789, 0, 296789976, -21422112, 0, -314777520, 122641953, 0, -59681608, -137616640, 0, -150498976, 740069715, 0, 159069237, 62359552, 0, -57195936, 219908004, 0, 484465014, -274443268, 0, 2734464, 99527760, 0, -570611824, -214326336, 0, -237825744, 473228088, 0, 705462156, 151681760, 0, -11262720, 116528634, 0, 319921280, -30086784, 0, -149250912, -489399540, 0, -347465131, 309871072, 0, -22020096, -214830840, 0, 194737662, 217757328, 0, -381508704, 126928752, 0, 567619288, 42432768, 0, 325832096, -475562508, 0, 649589888, -41206272, 0, 104362872, 257942292, 0, 420082884, -290384132, 0, 72231168, 143619588, 0, 182739760, 139175520, 0, 63937776, 352219455, 0, 573360626, 75445552, 0, -58000320, -28139202, 0, 142135236, 70443520, 0, -109070448, -424877412, 0, 846375012, -263414216, 0, 65438720, 404010060, 0, -219477803, -174056640, 0, 374454192, 518817264, 0, 326049953, -79933896, 0, -2443392, 184650492, 0, 53920960, -41054208, 0, 210856800, -82308387, 0, -241111458, 359435664, 0, 103469376, -167792124, 0, 487325664, 167561424, 0, 190981032, 124466160, 0, 160161352, 116914228, 0, 230285792, -428011836, 0, -319713694, 153512320, 0, 175998732, -151666662, 0, -375113879, 319954432, 0, -82093056, 414013230, 0, -362108890, -215585664, 0, 176689884, -256600071, 0, 235740960, -95766208, 0, 59252544, 271877154, 0, 445963973, 78970368, 0, -495049056, -396291972, 0, -134968384, 185077760, 0, 176655360, 333114612, 0, -112468012, -31422720, 0, -238232976, 406430160, 0, -386188609, -228523680, 0, 36552176, -100350978, 0, 31042872, 50393152, 0, 277527768, 542389350, 0, 57381635, 357930560, 0, -74980608, -662834928, 0, 30052742, -62632464, 0, -330817200, -429820719, 0, -526396906, 114225120, 0, 273267328, -47498640, 0, 602646950, 84123648, 0, 518256816, 347102460, 0, -259673998, -148783752, 0, 55808256, -281855397, 0, -586755523, -355683264, 0, 286175832, -2594928, 0, 157420836, -7496644, 0, -494831232, -379734342, 0, 155378440, -127150528, 0, -259506120, 329355780, 0, -169509907, -39809952, 0, -16531456, 24252870, 0, 310001328, 50144640, 0, 426592668, -779215656, 0, -220681692, -105858428, 0, 128225600, 711045048, 0, -610314346, 80560896, 0, -591360000, -249996360, 0, -286820460, -193479640, 0, -17607552, 694649790, 0, -665218277, 186531072, 0, -112909440, -161473836, 0, -140129640, -362868952, 0, 156839904, -423962730, 0, 125728229, 60953728, 0, 93767772, 94926720, 0, -26252662, -137098004, 0, -139880704, 16269690, 0, -661515436, 275699712, 0, 61883520, -203250804, 0, -292912244, -34360704, 0, 25277216, -392944656, 0, -296797536, 9633792, 0, -280869924, -785117925, 0, -230873440, 313621128, 0, 209433216, 482498802, 0, -18564336, -418701360, 0, 63416640, -571648902, 0, -531992317, -73984960, 0, 54041696, 522927717, 0, -301691484, 323221248, 0, -32159088, 724427784, 0, -245553840, -206936288, 0, -134510592, -27972777, 0, -473189728, -109908096, 0, -104063364, 265726356, 0, -115316452, -70749272, 0, -55319040, -460231638, 0, 10672420, -183780864, 0, -460918776, -155390160, 0, -149770736, -468114192, 0, 47830464, 286449354, 0, 78401232, 118926768, 0, -237455916, 342741480, 0, 132622960, 1068984, 0, -367511552, -749927640, 0, -176400805, 73240512, 0, 155693328, -61995240, 0, -157253103, -333450308, 0, -126362368, 519977646, 0, 342335560, 201141408, 0, -502472640, -767115216, 0, -936053244, -177314396, 0, 205101152, 566324562, 0, 602612829, -39854080, 0, 275980368, -138211164, 0, 453389402, -414893636, 0, -225335040, -184665102, 0, -83369362, 63155328, 0, 94318728, 67050612, 0, 602071470, 84940128, 0, 140025584, 39848103, 0, -385975800, 261349888, 0, 137471040, -342584019, 0, -307767798, -138124292, 0, -18972672, -575024352, 0, 480357034, -77286720, 0, 387753840, 107835840, 0, -543810994, -308537188, 0, 185108432, 714959481, 0, 99979110, 29438976, 0, -175969932, -412620156, 0, 1185738372, -542928044, 0, -99572928, -409133193, 0, 428320568, -353726448, 0, 134697708, 534388002, 0, -233603720, -476438504, 0, -665767872, 144732525, 0, -320803922, -101054528, 0, 278136552, 528463104, 0, -33587040, 108944640, 0, -36804096, -420114045, 0, -205451820, 224205888, 0, -306504624, -475643316, 0]}