# Stored data for newform 294.6.a.e, downloaded from the LMFDB on 03 November 2024. {"Nk2": 10584, "analytic_conductor": 47.1528430250163, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -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": [294, 1, [197, 199], [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, [86, 1]], [11, [-34, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014398610145574, "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": "294.6.a.e", "level": 294, "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, 7], "level_radical": 42, "minimal_twist": "42.6.e.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-4q^{2}+9q^{3}+2^{4}q^{4}-86q^{5}-6^{2}q^{6}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "294.6.a", "trace_display": [-4, 9, -86, 0], "trace_hash": 2124746991060259022, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.975", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.023", "prec": 17}, {"__RealLiteral__": 0, "data": "4.815", "prec": 17}], "trace_zratio": 0, "traces": [0, 1, -4, 9, 16, -86, -36, 0, -64, 81, 344, 34, 144, 3, 0, -774, 256, 1904, -324, 1489, -1376, 0, -136, -224, -576, 4271, -12, 729, 0, -6508, 3096, -1731, -1024, 306, -7616, 0, 1296, -7633, -5956, 27, 5504, -15414, 0, 18491, 544, -6966, 896, -18462, 2304, 0, -17084, 17136, 48, -19956, -2916, -2924, 0, 13401, 26032, 31828, -12384, 57654, 6924, 0, 4096, -258, -1224, -60563, 30464, -2016, 0, -44834, -5184, -20821, 30532, 38439, 23824, 0, -108, -30531, -22016, 6561, 61656, -110602, 0, -163744, -73964, -58572, -2176, 58992, 27864, 0, -3584, -15579, 73848, -128054, -9216, 119846, 0, 2754, 68336, -100010, -68544, -121691, -192, 0, 79824, -48648, 11664, -152075, 11696, -68697, 0, -60886, -53604, 19264, -104128, 243, -127312, 0, 49536, -159895, -230616, -138726, -27696, -98556, 0, -151965, -16384, 166419, 1032, -235502, 4896, 0, 242252, -62694, -121856, 325508, 8064, -3211, 0, -166158, 179336, 102, 20736, 559688, 83284, 0, -122128, -151884, -153756, 76648, -95296, 154224, 0, 148866, 432, 389710, 122124, -179604, 88064, 0, -26244, -112372, -246624, -26316, 442408, -52550, 0, -371284, 654976, 120609, 295856, 135256, 234288, 0, 8704, 286452, -235968, 250638, -111456, -199233, 0, 518886, 14336, 656438, 62316, 64736, -295392, 0, 512216, -238770, 36864, 85691, -479384, -2322, 0, -71408, -11016, 711352, -273344, -545067, 400040, 0, 274176, 1325604, 486764, -18144, 768, 50626, 0, -260260, -319296, -403506, 194592, -1590226, -46656, 0, 608300, -187389, -46784, 5712, 274788, -105656, 0, 345951, 243544, -654750, 214416, -557713, -77056, 0, 416512, -1247594, -972, 1587732, 509248, -274779, 0, -496926, -198144, 277618, 639580, 59049, 922464, 0, 554904, 4467, 110784, -995418, 394224, 308328, 0, -7616, 607860, -1473696, 65536, -408762, -665676, 0, -4128, -527148, 942008, 1088124, -19584, 1716216, 0, 530928, -969008, 668290, 250776, 830664, 487424, 0, -1302032, 145214, -32256, 925073, 12844, -140211, 0, 1336348, 664632, 992957, -717344, -1152486, -408, 0, -82944, 2205359, -2238752, 1078614, -333136, -563544, 0, -2737208, 488512, 24786, 607536, -672, 615024, 0, -306592, -900090, 381184, -4958244, -616896, -2827033, 0, -1095219, -595464, 1127314, -1728, 2360129, -1558840, 0, -488496, -2224200, 718416, -221272, -352256, -437832, 0, 2835056, 104976, 12813, 449488, -1368675, 986496, 0, 105264, -3703039, -1769632, -618273, 210200, 5208418, 0, 1214325, 1485136, -547974, -2619904, -58854, -482436, 0, -1183424, 173376, -541024, -977904, -937152, -511282, 0, 2187, -34816, -3027522, -1145808, 3855724, 943872, 0, -1002552, 4594556, 445824, -258978, 796932, -1439055, 0, 1790606, -2075544, 1112731, -57344, -1248534, -2625752, 0, -249264, -2458949, -258944, -887004, 1181568, -19524, 0, -4101299, -2048864, -1367685, 955080, 2594132, -147456, 0, -342764, 1497771, 1917536, 2234066, 9288, -426496, 0, -2119518, 285632, 2625666, 44064, 2063997, -2845408, 0, 1093376, 1152828, 2180268, -5193, -1600160, -564246, 0, -259522, -1096704, -5934125, -5302416, 2929572, -1947056, 0, 72576, 9511772, -3072, -28899, -202504, -771666, 0, -2875419, 1041040, -1495422, 1277184, 8131984, 1614024, 0, -778368, 918, 6360904, -137862, 186624, -1565255, 0, 5037192, -2433200, -333536, 749556, -4881576, 187136, 0, -22848, -1301516, -1099152, -5073312, 422624, -1366956, 0, -3131410, -1383804, -524076, -974176, 689832, 2619000, 0, -857664, 6492685, 2230852, 1388016, 308224, -5347172, 0, 3372853, -1666048, 1339794, 4990376, -2234522, 3888, 0, -6350928, 3507390, -2036992, 628694, 1099116, 6359519, 0, -1616436, 1987704, 2521364, 792576, -22899, -1110472, 0, -2558320, -10306756, -236196, 1916717, -3689856, -1011348, 0, 5828748, -2219616, -12391232, -17868, -236844, -443136, 0, 3981672, -10004861, -1576896, -472950, -1233312, -1136658, 0, 8600860, 30464, -3341556, -2431440, -4019370, 5894784, 0, -262144, 1085481, 1635048, 10465426, 2662704, -627708, 0, 1217304, 16512, 5520276, 2108592, -8944721, -3768032, 0, -4352496, -3295824, 78336, -6386167, -6864864, 2578068, 0, -46242, -2123712, 4183728, 3876032, 2255742, -2673160, 0, -1003104, 849057, -3322656, -1793097, -1949696, 13078450, 0, 8613396, 5208128, 4669974, -580856, -9690412, 129024, 0, -3700292, 5907942, -51376, 7798790, 560844, 55473, 0, 582624, -5345392, -1072714, -2658528, 5236196, -3971828, 0, 2869376, -1015242, 4609944, -6780933, 1632, -2148930, 0, -956704, 331776, 3305369, -8821436, 771219, 8955008, 0, -4314456, -678504, 1332544, -20898, 2254176, 11983328, 0, -2577459, 10948832, -642672, -1954048, 5310198, -99144, 0, -2430144, 6402168, 2688, 2422356, -2460096, 7106593, 0, -4905603, 1226368, 13750970, 3600360, -17919405, -1524736, 0, 19832976, -55386, 2467584, 13979010, 11308132, 11930436, 0, -5255942, 4380876, -1443013, 2381856, -163296, -4509256, 0, 6912, -4871059, -9440516, 455634, 6235360, -14533232, 0, 15172304, 1953984, -2342340, 8896800, 13068990, -2873664, 0, 885088, -3631554, 1409024, -144848, 1751328, 27469, 0, -14312034, -11340224, -8557830, -419904, 1082152, -51252, 0, -1797952, 12503034, 5474700, 20253172, -3945984, -1686501, 0, 18047068, -421056, -3341443, 14812156, 51408, 7078528, 0, 2473092, 1457792, -840800, -950904, -20833672, 1960236, 0, -8470657, -4857300, 3113559, -5940544, -14655276, 2191896, 0, 10479616, -5892750, 235416, 19761612, 1929744, -27993688, 0, -5019417, 4733696, -59868, -693504, -13583237, 2164096, 0, 3911616, 276146, 3748608, -29348256, 2045128, -11228346, 0, -12991504, -8748, -11365537, 139264, 14289588, 12110088, 0, 4583232, 1908734, -15422896, -2473011, -3775488, 387744, 0, -8772, 4010208, -4472334, -18378224, 11119974, -1783296, 0, 1035912, 2498562, -3187728, -27795668, 5756220, -8374057, 0, 531441, -7162424, 35206864, 8302176, -4644477, -4450924, 0, 229376, -2059142, 4994136, -11062329, 10503008, 40203, 0, 1972446, 997056, 13062024, 9835796, -8958762, 1035776, 0, 3548016, 15024639, -4726272, 2774952, 78096, -6591728, 0, -4724262, 16405196, -68544, 8195456, 8578352, 5470740, 0, -3820320, -13263264, -10376528, 95484, 589824, -17616751, 0, -3678858, 1371056, 1254202, -5991084, -7393101, -7670144, 0, -8936264, -22951446, -37152, -1524356, 1705984, -4744332, 0, -33515060, 8478072, -7091208, -1142528, 9793116, -10502664, 0, -176256, 172962, -8255988, 15445944, 11381632, 2716296, 0, -35151648, -4373504, 4778352, -4611312, -707914, -8721072, 0, 20772, 6014610, 6400640, -21873922, 2256984, 17235248, 0, 7475976, 1038088, 9663992, 4386816, 27533099, 23736500, 0, 21209664, -22619126, -11718288, 1626328, 7788224, 1306926, 0, -22830450, -290304, -25859317, -38047088, 8325657, 12288, 0, 115596, 4519300, 810016, -1261899, 3086664, 12306116, 0, 21842915, 11501676, 12027132, -4164160, 31930424, 5981688, 0, -5108736, 8936613, -32527936, 1709792, -6456096, 19141609, 0, -10372374, 3113472, 4755072, -3672, 9198760, -25443616, 0, 551448, -17353186, -746496, -11632016, 6261020, 19848231, 0, -1038054, -20148768, -181689, 9732800, 9707526, 1334144, 0, -2998224, -35562182, 19526304, -5071896, -748544, 26305560, 0, 12039437, 91392, -24634872, 5206064, 133590, 4396608, 0, 20293248, 223074, -1690496, -27489918, 5467824, -21554868, 0, -6048, 12525640, 11265348, 5535216, -37996224, 2096304, 0, 3896704, 17134038, -2759328, -12747579, -10476000, -8100810, 0, 24325272, 3430656, -3760468, -25970740, -44624196, -8923408, 0, -5552064, -38480459, -1232896, -25443297, 21388688, -134502, 0, -32600543, -13491412, -9856971, 6664192, -39667806, -5359176, 0, -19961504, 10145826, 8938088, -5567296, -15552, -14842751, 0, 21241161, 25403712, -46706300, -14029560, 3452736, 8147968, 0, -2514776, 40237946, -4396464, -62463, -25438076, -20017800, 0, 24557884, 6465744, 20534220, -7950816, -1991448, -10085456, 0, -3170304, -25632790, 91596, -3940488, 4441888, -7369426, 0, 53431265, 10233280, 25515504, 41227024, 2814852, 944784, 0, -7666868, 115317, 14759424, 25471278, 4045392, 2005728, 0, -12318075, -23314992, 2901348, 8878464, 6141088, 49564928, 0, 71472, -4141984, 947376, 2737835, 1772544, -33327351, 0, -61176272, -15926688, 27407905, 40019444, -5564457, 6307584, 0, 1891800, 60600512, 4933248, 46875762, 4546632, -29714484, 0, -53371339, -34403440, 10928925, -121856, 21443136, 13366224, 0, 9725760, -4931766, 16077480, 50365520, -23579136, 13135778, 0, -529686, 1048576, -65833194, -4341924, -91593, -6540192, 0, -41861704, 18990228, -10650816, 36235461, 2510832, 1560384, 0, 109773216, -4869216, 14870721, -66048, -8801136, -22081104, 0, -8434368, -4353836, 35778884, -4601538, 15072128, -33001760, 0, -6839523, 17409984, 19683, 13183296, 22382360, -313344, 0, 25544668, -27247698, 27459456, -10379150, -10312272, 61834960, 0, 34701516, 184968, 4074764, 8494848, 46402957, -16734912, 0, -15504128, 49675564, -9022968, 78975061, 10692640, 41351004, 0, -331806, 4012416, 4135488, -3396228, -2330802, 13290624, 0, 7172388, 49084623, 7798784, -12951495, -52313800, 42891824, 0, -34827827, -34453584, 16115454, -20832512, -29296388, -18679896, 0, 2323424, 10014579, 38761648, 15035486, -516096, -491232, 0, -11236806, 14801168, 17690868, -23631768, -3400340, 205504, 0, -31195160, 9086416, -2243376, -76338162, -221892, -22130541, 0, 47391892, -2330496, 8609431, 21381568, -7983036, 4290856, 0, 10634112, 40488249, -20944784, -175716, 15887312, -4137494, 0, 56308500, -11477504, -36911691, 4060968, -115311952, -18439776, 0, 27123732, -12309165, -6528, 47963318, 8595720, 13212723, 0, 23347188, 3826816, -42793230, -1327104, 7974143, -13221476, 0, 35285744, 176976, -3084876, 85846806, -35820032, 13479939, 0, 74601462, 17257824, 107293084, 2714016, 20106594, -5330176, 0, 83592, -59833400, -9016704, -3838464, -47933312, -78851202, 0, -1654032, 10309836, -19075662, -43795328, -28437916, 2570688, 0, 7816192, 23630994, -21240792, -47433732, 396576, 100314312, 0, 18575973, 9720576, -52740376, -25608672, 42735636, -10752, 0, -9689424, -5170550, 9840384, 36842555, -28426372, 10375452, 0, -23875148, 19622412, -85363936, -4905472, -46737, -55003880, 0, -14401440, 72437326, 71677620, -5078214, 6098944, 51595518, 0, 4470144, -79331904, -2335698, 221544, 35241948, -9870336, 0, -55916040, -53407125, -45232528, -87231690, -47721744, 50375907, 0, 26366148, 21023768, -384162, -17523504, 104537482, 5772052, 0, -9527424, -39643184, 653184, -2070124, 18037024, 85605948, 0, -120339428, -27648, 70710510, 19484236, -260091, 37762064, 0, -1822536, -26516208, -24941440, -6944994, 58132928, 42717030, 0, 359538, -60689216, -25878771, -7815936, 654976, 9369360, 0, -35587200, -13458798, -52275960, 26681634, 11494656, -90178307, 0, 73187856, -3540352, 42778158, 14526216, -12371024, -5636096, 0, 579392, 31401066, -7005312, 35153532, -109876, 8262, 0, -96117060, 57248136, -37952828, 45360896, -1240758, 34231320, 0, 1679616, -36629497, -4328608, -14087295, 205008, -99056456, 0, 59721780, 7191808, 45334728, -50012136, -20358860, -21898800, 0, -81012688, -3001824, 15783936, -300030, 6746004, -93578664, 0, -43934184, -72188272, -873924, 1684224, 83338081, 13365772, 0, -59248624, -85232076, -205632, -41717792, -28314112, -11713644, 0, -10912164, -9892368, -32007921, -5831168, -45659808, 3363200, 0, 3803616, -365073, 83334688, -12302604, -7840944, -58131024, 0, -57472940, 33882628, -28182690, 19429200, -66757826, -12454236, 0, 23762176, -4716684, 58621104, -71437104, -8767584, -7129472, 0, 6208488, -41918464, -37065532, 23571000, 120150696, -941664, 0, -79046448, 23704900, -7718976, -11081268, 111974752, 58434165, 0, 105756394, 20077668, -3350904, -18934784, 12492144, 239472, 0, 2774016, 46171441, 54332948, -48124548, -8656384, -79556278, 0, -31002469, -15646464, 30355677, -1104584, -145944, -14994432, 0, 117393024, 12058146, -8180512, -5166810, 44913384, -18774679, 0, -20110698, 51966016, -12914496, 34992, -114925928, 45462148, 0, -557056, 91851234, -57158352, -210586208, -48440352, 31566510, 0, -85394302, -18332928, -456225, -7634936, 5658246, 61691584, 0, 9892044, 35635336, 15101952, 57235671, -1550976, 44291442, 0, -67179526, 35088, -14547924, -16040832, -14642824, 17889336, 0, 73512896, 22692276, -44479896, -107896714, 7133184, -8007068, 0, -206091, -4143648, -189660874, -9994248, 9876843, 12750912, 0, 111182672, -120414522, -23024880, 64297689, 33496228, -92760804, 0, 31957722, -2125764, -27612652, 28649696, 17250453, -140827456, 0, -33208704, 48464784, 18577908, -9102132, 17803696, -182658, 0, -5208203, -917504, 52458732, 8236568, 135937388, -19976544, 0, 44249316, -111521088, -42012032, 111720894, -160812, -94368815, 0, -2131596, -7889784, -96863766, -3988224, -150116533, -52248096, 0, -39343184, 26379630, 35835048, 57792, -4143104, -90043749, 0, -38626836, -14192064, -45460659, -60098556, -4256550, 18905088, 0, -11099808, 11067272, -312384, -10229922, 26366912, 95918338, 0, 112320768, 18897048, 77407740, -65620784, 117655062, 274176, 0, -32781824, -30074004, -34313408, 124319170, -21882960, 246240234, 0, -36174330, 15281280, -109174, 53053056, -24370367, 41506112, 0, -381936, 243124838, -2359296, 129873648, 70467004, 9769329, 0, 13566112, 14715432, 166643809, -5484224, 94188834, -5016808, 0, 23964336, -130676322, 29572404, -5649372, 30680576, -111929176, 0, -96949004, 35745056, 10955736, 91805784, 140415756, 148608, 0, 6097424, 49682484, -6823936, -202971094, 18977328, 17786751, 0, -80502489, 134060240, -37083934, -33912288, -479685, 28364832, 0, 4570112, -164686378, -39172464, -80252248, 42010656, -29662416, 0, -21618216, 705024, 191281200, -691848, -57475503, 33023952, 0, -61783776, -141141803, -45526528, 23202612, -10865184, 19029392, 0, -12605255, 140606592, -416178, 17494016, -51264072, -19113408, 0, 18445248, 37653552, 2831656, -87681954, 34884288, -135199573, 0, 20301678, -83088, 199064192, -24058440, -243814816, -25602560, 0, 87495688, 177051736, -9027936, 23460197, -68940992, 7641513, 0, -295668, -29903904, 178418031, -4152352, -16137873, -38655968, 0, -17547264, 10042816, -110132396, 117706050, -94946000, 167431702, 0, -5164056, -84838656, 77520564, 90476504, 34543836, 46873152, 0, -6505312, 42029766, -31152896, 228186784, -5227704, -455895, 0, -87213708, 91321800, 318461354, 1161216, -33600878, 103437268, 0, 152188352, 2606032, -33302628, -75997079, -49152, 53171478, 0, 7816184, -462384, -205856569, -18077200, 70189110, -3240064, 0, 5047596, -258664573, -12346656, 499257, -49224464, 4663904, 0, 121735195, -87371660, 5243616, -46006704, -104431950, -48108528, 0, 16656640, -9654426, -127721696, 87839088, -23926752, -99482479, 0, 47125764, 20434944, -106239726, -35746452, 66180065, 130111744, 0, -6839168, -706506, 25824384, 5061444, -76566436, -9137178, 0, 37403250, 41489496, -207136624, -12453888, -61028397, -19020288, 0, 14688, -190419040, -36795040, -19340370, 101774464, 85276438, 0, -11602532, -2205792, -8610336, 69412744, 13250140, 2985984, 0, 46528064, 29748321, -25044080, 81545262, -79392924, 84099744, 0, 6940971, 4152216, 140920446, 80595072, -104587575, 726756, 0, -38931200, 43970252, -38830104, -35399068, -5336576, -6106536, 0, -231699664, 11992896, -62132709, 142248728, -188082, -78105216, 0, 20287584, -106135843, 2994176, 107849952, -105222240, -285020274, 0, 260366892, -48157748, -23197131, -365568, -375212232, 98539488, 0, -20824256, -5784048, -534360, -191486014, -17586432, 91239062, 0, 47791782, -81172992, 976524, -892296, -164761668, 6761984, 0, 109959672, -156157370, -21871296, 95720859, 86219472, 57619512, 0, -3820648, 24192, -395131816, -50102560, 21801204, -45061392, 0, -22140864, 207110083, 151984896, 63959337, -8385216, 22272108, 0, -9633, -15586816, -44150427, -68536152, 230958696, 11037312, 0, 50990316, 123758730, 41904000, 6838944, 32403240, -92625792, 0, -161274645, -97301088, -61696680, -13722624, -88926491, 15041872, 0, 103882960, -55094268, 178496784, 46642389, 35693632, -498474, 0, -95694866, 22208256, -1786700, 153921836, 125811090, 4931584, 0, 101773188, 178450694, -85554752, 107373924, 538008, 240224346, 0, 194908638, 130402172, -47303478, 53965648, -289550800, 39427884, 0, -26656768, -12987117, 158671224, -12623656, 21436704, 167778253, 0, -1469664, 79846016, 211469614, -40583304, 71730180, -35752352, 0, 22269184, -26117726, 62208, 112860201, 59371004, -43839531, 0, 496270, -84964644, 274790425, -101614848, 4100706, 186825200, 0, 56118240, 1679064, -13810944, -130799088, -32591872, 31468446, 0, -99799074, 10059104, 136550736, -160951784, 352711714, 17585856, 0, 249852, -21081060, 101752304, -139152060, 80071200, 4598704, 0, 117620910, -98231536, 159961500, -25862976, 24774848, -82136880, 0, 31803264, 283926534, 7965792, -223095352, 40341824, -32683986, 0, -148914890, 12681216, -115926944, 102531160, -1303632, -366384, 0, 15761952, 284573268, -17767552, 247221, 29477704, -31056932, 0, -67872361, -213725060, -128808306, -40933120, -455652, -102062016, 0, -164908096, -77020470, -11259408, 394144004, -3779136, -192129676, 0, 9739368, 30667472, -36782358, -461268, -271337243, -59037696, 0, -101885112, 36678656, -16181568, -181197899, -8022912, 112527306, 0, 152324148, 49272300, 229944, 93259968, 182278548, -11605392, 0, -35513856, 8521692, -24564352, -15178509, -198259712, 4416300, 0, -130397901, -285888, 162423612, 16567936, 267429726, -3789504, 0, -10951340, -30072987, -7090176, -177503742, 133309404, -45809649, 0, 462672, 244705088, -6773922, 63706752, 167559986, -109631620, 0, -160077776, -292625982, 22257828, 295625932, -25230336, 13120128, 0, 20915412, -7567200, -99143208, -242402048, -8558136, -19732992, 0, -187503048, -238106749, -18186528, 17642124, 118857936, 446598, 0, -153718459, 213485356, -76235913, 137613760, -341380842, -43715700, 0, 487424, 28022031, -85772544, 65402870, -53464896, 42905707, 0, -131897484, -38903040, -72436872, 19727064, 22318892, -64309920, 0, -201462080, -260516288, 94316544, 1169130, -52543112, -53034750, 0, 510334750, 2118744, -13214208, -4194304, 177854508, 263332776, 0, 17367696, 357215159, 366372, -251943192, 26160768, -304440080, 0, 291779672, 167446816, -45174753, -75960912, 224136804, 42603264, 0, -144941844, -538812, -10043328, 148969202, -6241536, -226439675, 0, -122249133, -439092864, -472381142, 19476864, 104834553, -59482884, 0, 264192, 75442586, 35204544, -376240192, 88324416, 2485314, 0, 352821272, 33737472, 201992167, 17415344, -264134304, -143115536, 0, 18406152, 66363276, -60288512, -101055114, 132007040, -107731638, 0, -8118180, 27358092, -116923536, -69639936, 247286034, -78732, 0, -52733184, -102289833, -89529440, -215211712, 1253376, 58193839, 0, 128606292, -102178672, 135503068, 108990792, -337116, -109837824, 0, 41516600, 2913494, 41249088, -187650624, -247339840, 17178606, 0, -267916134, -138806064, -126195995, -739872, -22257099, -16299056, 0, -33979392, 86581927, -185611828, 3489696, 66939648, 311362434, 0, 31886461, 62016512, -78948, -198702256, -90659254, 36091872, 0, -315900244, -40251006, -42770560, -79219114, -165404016, 11856132, 0, 100079766, 1327224, -289341360, -16049664, 272569639, -16541952, 0, 13584912, 134611930, 9323208, -2427872, -53162496, 22487058, 0, -157650, -28689552, 307601784, -196338492, -250161012, -31195136, 0, 51805980, -154810471, 209255200, -75366513, -171567296, -242943124, 0, 28684096, 139311308, 4782969, 137814336, 24185968, -64461816, 0, 83330048, 316861776, 117185552, 419815536, 74719584, -2227731, 0, -41800293, -9293696, 77607654, -40058316, 209332469, -155046592, 0, -60141944, -301998380, 2064384, 111500437, 1964928, -18532278, 0, -386985482, 44947224, 111930376, -59204672, -99560961, -70763472, 0, 94527072, -285816859, 13601360, 361827, -822016, 251954832, 0, -448395808, 124780640, 17752014, -36345664, -26845504, 8973504, 0, 305352648, 117558216, 887568, 144575206, 88522164, -353073171, 0, -80628858, -189567568, 334053266, 9321984, 269301260, -34437724, 0, -85526272, 405768, 31932144, -29020067, -17163424, 135221751, 0, 45070536, -42536448, -440072982, -161952996, 24974568, 83779136, 0, 702864, 36041151, -63549248, -59325552, 16549976, 331147210, 0, 42534330, -225234000, -42518358, 45910016, 110943748, 147646764, 0, -16243872, -616896, 461247808, -369006396, 73759104, 246402043, 0, 77205168, -108494928, -558370910, 49236660, 251859329, 26112, 0, -191853272, 198695748, -34382880, 196868795, -52850892, -119369376, 0, 133561728, -93388752, -238083655, -15307264, 859356, 171172920, 0, 5308416, 459856792, -31896572, -158550759, 52885904, 214196784, 0, 252942207, -141142976, -33109722, -707904, -290065358, 12339504, 0, -343387224, 11287818, 143280128, -8848840, -53919756, 22402240, 0, -66537909, -298405848, 751914, -69031296, 619767232, -429172336, 0, -10856064, -420377082, -80426376, 192168892, 21320704, -206563014, 0, -166642950, -334368, 52376395, 239333600, -13719204, 36066816, 0, 15353856, 225656156, 191733248, -42698988, 315404808, 76421094, 0, -597699, 6616128, -301635540, -41239344, -203400978, 76302648, 0, 175181312, -63820872, 113751664, -6113744, -10282752, -54067684, 0, 88138044, -31264768, 27258784, -94523976, -428799716, 84963168, 0, 189734928, -146749884, -1586304, 356889002, -401257248, 1556658, 0, -176217846, -74303892, -90034152, -38882304, 139013496, 210961504, 0, 102434688, 26509387, -170942544, 24446664, 43008, -206999842, 0, -216837304, 38757696, -316364832, 20682200, 101749990, -39361536, 0, -147370220, 43005168, 113705488, 1969314, -41501808, 719797816, 0, -6371226, 95500592, 442533876, -78489648, -226275885, 341455744, 0, 19621888, 126171184, 186948, -490596792, 220015520, 54131490, 0, 55869442, 57605760, 511862266, -289749304, -196865298, -286710480, 0, 20312856, 194208, -24395776, 155117232, -206382072, -164837662, 0, -353950790, -17880576, 67283784, 317327616, -95070502, 9342792, 0, -886176, 86975928, -140967792, -21417862, 39481344, 52849161, 0, 247797891, 223664160, -3592304, 213628500, -501272328, 180930112, 0, 348926760, 205601038, 190886976, 10897152, -201503628, -203572134, 0, 1065645952, -105464592, -276872911, -84095072, 14636952, 1536648, 0, 70094016, 252835814, -418149928, 11762334, -23088208, -399450744, 0, 462277379, 38109696, -205474050, 158572736, -716310, -2612736, 0, 8280496, -232733853, -72148096, -350662478, -342423792, 368427672, 0, 74930913, 481357712, 860418046, 110592, -22261500, -282842040, 0, -77936944, -888678756, 1040364, 348429291, -151048256, 40673700, 0, 34064800, 7290144, 257073, 106064832, -11357091, 99765760, 0, 27779976, 97752588, -232531712, 110755044, -170868120, -18962242, 0, -375313778, -1438152, 196586235, 242756864, -427142710, 103515084, 0, 31263744, 108244188, -2619904, -17502020, -37477440, -289187136, 0, 287373816, 142348800, 588531548, 53835192, 176470997, 209103840, 0, -106726536, 541303422, -45978624, 345665820, 360713228, 80429517, 0, 204239870, -292751424, 305691539, 14161408, 15388128, -171112632, 0, -58104864, -408602531, 49484096, 172274481, 22544384, -214224, 0, -42418196, -2317568, -93351366, -125604264, 145937792, 28021248, 0, -140614128, 42795648, 439504, 191452062, -33048, -519742261, 0, 82788840, 384468240, -476624856, -228992544, -383919936, 151811312, 0, -181443584, 53982888, 4963032, 2134056, -136925280, -156178674, 0, -167641448, -6718464, 442599746, 146517988, -104688144, 17314432, 0, 56349180, 13638464, -820032, 178634079, 396225824, 484681412, 0, -474743736, -238887120, -9342486, -28767232, -245570068, -181338912, 0, 200048544, -1635201, 81435440, 769246006, 87595200, 272254135, 0, 87367734, 324050752, -445786080, 12007296, 1066080114, -63135744, 0, 1200120, 342217922, -26984016, -16895484, 374314656, -320059638, 0, 517389980, 175736736, 283440864, 288753088, -45647064, 3495696, 0, -6736896, -4781179, -333352324, 236750040, -53463088, 549210362, 0, 31174288, 236994496, 108354933, 340928304, 9439012, 822528, 0, 166871168, -221713848, 113256448, -63924084, 46854576, -406363348, 0, 1202310, 43648656, 350587636, 39569472, 3976812, 128031684, 0, 23324672, 742007840, 182639232, 148022645, -13452800, 2007666, 0, -207775608, -15214464, -448361614, 1460292, -247409262, -333338752, 0, 49210416, -87859571, 31363776, -193993812, 232524096, 343390238, 0, -470373175, 229891760, -54432, -135530512, 630415314, 112730760, 0, -77716800, 101388132, 267031304, 264613660, 49816944, 158926693, 0, -341966016, -95048704, -73018902, 18866736, -609818441, -234484416, 0, 285748416, -618523762, 35070336, -125972262, 28517888, 154206342, 0, 151878, -24833952, -425195236, 167673856, -114728211, 148262128, 0, -94284000, -649512325, -480602784, -72907290, 3766656, 147703262, 0, 398118465, 316185792, 218927448, -94819600, -740752056, 30875904, 0, 44325072, -33844212, -447899008, -365622050, -233736660, -780780, 0, -401617764, -423025576, 933518082, -80310672, -184320062, 13403616, 0, 75739136, -41343684, -49968576, 833375432, -957888, -346324131, 0, -102115152, -11096064, 10483152, -184685764, -228989673, -217331792, 0, 192498192, 97828120, 34625536, -1210518, 318225112, -213956288, 0, -587608536, 124009876, -293404887, 62585856, 528082342, -121422708, 0, 4418336, -88712739, 583776, 35816480, 59977728, -670695940, 0, -357010254, -469572096, -487384842, -48232584, 133598245, 32722048, 0, 20667240, -4770678, -179653536, -458559026, 75098716, 91312434, 0, 481730388, 80442792, 88624693, -207864064, -50105664, 51657984, 0, -139968, -19953557, 459703712, -133584759, -181848592, -779957768, 0, 92253404, 2228224, 191170449, -367404936, -142250740, 228633408, 0, 842344832, -420356700, 193761408, -260044106, -126266040, -13897908, 0, 31074624, 341577208, -226155276, 73331712, -263752402, 1824900, 0, 30539744, -546201572, -22632984, -100055200, -246766336, 362141514, 0, -475485008, -39568176, 87310812, -142541344, -562167, -60407808, 0, -228942684, 443337180, 6203904, -180160200, -177165768, 583160238, 0, 179091353, 268718104, 221020956, -140352, -770435602, 58191696, 0, 64163328, 184807980, 58571296, -1064408148, -71557344, 114128872, 0, -17923032, -294051584, -706924736, -90769104, 22076544, 177919584, 0, 431586856, 495899782, -28532736, -1119870433, 32028272, -230695110, 0, -284261734, 824364, -176713915, 16574592, -35464392, 758643496, 0, 39976992, 36996216, -39507372, -66324834, -51003648, -573547308, 0, -316968, -444730688, 480881385, 481658088, 473310352, 92099520, 0, -257190756, 229639536, -133984912, -762436664, 371043216, 691071276, 0, 25333668, -127830888, 58351344, 8503056, -35263883, 110450608, 0, -114598784, 34040160, -69001812, 233043123, 563309824, 1037853, 0, -689013368, 132834816, 650865080, -193859136, 229241502, -74311632, 0, 36408528, -1030566208, -71214784, 18051552, 730632, 401880306, 0, 257527424, 20832812, -110862675, 3670016, 221661474, -209834928, 0, -32946272, 26112132, -543749552, -1964250, 79906176, -439196534, 0, 55269792, -176997264, -851833274, 446084352, 22721860, 168048128, 0, -446883576, -491550202, 643248, -456677028, 377475260, -37277856, 0, -235816008, 8526384, 84951684, 31559136, 24640515, 387455064, 0, 15952896, -1673139, 600466132, -299946159, 208992384, 28242576, 0, 580278190, 157372736, -550586448, -105518520, 791965028, -143340192, 0, -231168, 246671145, 16572416, 320934894, 360174996, -208322616, 0, -50080113, 154507344, -38174776, 56768256], "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, 9, 16, -86, -36, 0, -64, 81, 344, 34, 144, 3, 0, -774, 256, 1904, -324, 1489, -1376, 0, -136, -224, -576, 4271, -12, 729, 0, -6508, 3096, -1731, -1024, 306, -7616, 0, 1296, -7633, -5956, 27, 5504, -15414, 0, 18491, 544, -6966, 896, -18462, 2304, 0, -17084, 17136, 48, -19956, -2916, -2924, 0, 13401, 26032, 31828, -12384, 57654, 6924, 0, 4096, -258, -1224, -60563, 30464, -2016, 0, -44834, -5184, -20821, 30532, 38439, 23824, 0, -108, -30531, -22016, 6561, 61656, -110602, 0, -163744, -73964, -58572, -2176, 58992, 27864, 0, -3584, -15579, 73848, -128054, -9216, 119846, 0, 2754, 68336, -100010, -68544, -121691, -192, 0, 79824, -48648, 11664, -152075, 11696, -68697, 0, -60886, -53604, 19264, -104128, 243, -127312, 0, 49536, -159895, -230616, -138726, -27696, -98556, 0, -151965, -16384, 166419, 1032, -235502, 4896, 0, 242252, -62694, -121856, 325508, 8064, -3211, 0, -166158, 179336, 102, 20736, 559688, 83284, 0, -122128, -151884, -153756, 76648, -95296, 154224, 0, 148866, 432, 389710, 122124, -179604, 88064, 0, -26244, -112372, -246624, -26316, 442408, -52550, 0, -371284, 654976, 120609, 295856, 135256, 234288, 0, 8704, 286452, -235968, 250638, -111456, -199233, 0, 518886, 14336, 656438, 62316, 64736, -295392, 0, 512216, -238770, 36864, 85691, -479384, -2322, 0, -71408, -11016, 711352, -273344, -545067, 400040, 0, 274176, 1325604, 486764, -18144, 768, 50626, 0, -260260, -319296, -403506, 194592, -1590226, -46656, 0, 608300, -187389, -46784, 5712, 274788, -105656, 0, 345951, 243544, -654750, 214416, -557713, -77056, 0, 416512, -1247594, -972, 1587732, 509248, -274779, 0, -496926, -198144, 277618, 639580, 59049, 922464, 0, 554904, 4467, 110784, -995418, 394224, 308328, 0, -7616, 607860, -1473696, 65536, -408762, -665676, 0, -4128, -527148, 942008, 1088124, -19584, 1716216, 0, 530928, -969008, 668290, 250776, 830664, 487424, 0, -1302032, 145214, -32256, 925073, 12844, -140211, 0, 1336348, 664632, 992957, -717344, -1152486, -408, 0, -82944, 2205359, -2238752, 1078614, -333136, -563544, 0, -2737208, 488512, 24786, 607536, -672, 615024, 0, -306592, -900090, 381184, -4958244, -616896, -2827033, 0, -1095219, -595464, 1127314, -1728, 2360129, -1558840, 0, -488496, -2224200, 718416, -221272, -352256, -437832, 0, 2835056, 104976, 12813, 449488, -1368675, 986496, 0, 105264, -3703039, -1769632, -618273, 210200, 5208418, 0, 1214325, 1485136, -547974, -2619904, -58854, -482436, 0, -1183424, 173376, -541024, -977904, -937152, -511282, 0, 2187, -34816, -3027522, -1145808, 3855724, 943872, 0, -1002552, 4594556, 445824, -258978, 796932, -1439055, 0, 1790606, -2075544, 1112731, -57344, -1248534, -2625752, 0, -249264, -2458949, -258944, -887004, 1181568, -19524, 0, -4101299, -2048864, -1367685, 955080, 2594132, -147456, 0, -342764, 1497771, 1917536, 2234066, 9288, -426496, 0, -2119518, 285632, 2625666, 44064, 2063997, -2845408, 0, 1093376, 1152828, 2180268, -5193, -1600160, -564246, 0, -259522, -1096704, -5934125, -5302416, 2929572, -1947056, 0, 72576, 9511772, -3072, -28899, -202504, -771666, 0, -2875419, 1041040, -1495422, 1277184, 8131984, 1614024, 0, -778368, 918, 6360904, -137862, 186624, -1565255, 0, 5037192, -2433200, -333536, 749556, -4881576, 187136, 0, -22848, -1301516, -1099152, -5073312, 422624, -1366956, 0, -3131410, -1383804, -524076, -974176, 689832, 2619000, 0, -857664, 6492685, 2230852, 1388016, 308224, -5347172, 0, 3372853, -1666048, 1339794, 4990376, -2234522, 3888, 0, -6350928, 3507390, -2036992, 628694, 1099116, 6359519, 0, -1616436, 1987704, 2521364, 792576, -22899, -1110472, 0, -2558320, -10306756, -236196, 1916717, -3689856, -1011348, 0, 5828748, -2219616, -12391232, -17868, -236844, -443136, 0, 3981672, -10004861, -1576896, -472950, -1233312, -1136658, 0, 8600860, 30464, -3341556, -2431440, -4019370, 5894784, 0, -262144, 1085481, 1635048, 10465426, 2662704, -627708, 0, 1217304, 16512, 5520276, 2108592, -8944721, -3768032, 0, -4352496, -3295824, 78336, -6386167, -6864864, 2578068, 0, -46242, -2123712, 4183728, 3876032, 2255742, -2673160, 0, -1003104, 849057, -3322656, -1793097, -1949696, 13078450, 0, 8613396, 5208128, 4669974, -580856, -9690412, 129024, 0, -3700292, 5907942, -51376, 7798790, 560844, 55473, 0, 582624, -5345392, -1072714, -2658528, 5236196, -3971828, 0, 2869376, -1015242, 4609944, -6780933, 1632, -2148930, 0, -956704, 331776, 3305369, -8821436, 771219, 8955008, 0, -4314456, -678504, 1332544, -20898, 2254176, 11983328, 0, -2577459, 10948832, -642672, -1954048, 5310198, -99144, 0, -2430144, 6402168, 2688, 2422356, -2460096, 7106593, 0, -4905603, 1226368, 13750970, 3600360, -17919405, -1524736, 0, 19832976, -55386, 2467584, 13979010, 11308132, 11930436, 0, -5255942, 4380876, -1443013, 2381856, -163296, -4509256, 0, 6912, -4871059, -9440516, 455634, 6235360, -14533232, 0, 15172304, 1953984, -2342340, 8896800, 13068990, -2873664, 0, 885088, -3631554, 1409024, -144848, 1751328, 27469, 0, -14312034, -11340224, -8557830, -419904, 1082152, -51252, 0, -1797952, 12503034, 5474700, 20253172, -3945984, -1686501, 0, 18047068, -421056, -3341443, 14812156, 51408, 7078528, 0, 2473092, 1457792, -840800, -950904, -20833672, 1960236, 0, -8470657, -4857300, 3113559, -5940544, -14655276, 2191896, 0, 10479616, -5892750, 235416, 19761612, 1929744, -27993688, 0, -5019417, 4733696, -59868, -693504, -13583237, 2164096, 0, 3911616, 276146, 3748608, -29348256, 2045128, -11228346, 0, -12991504, -8748, -11365537, 139264, 14289588, 12110088, 0, 4583232, 1908734, -15422896, -2473011, -3775488, 387744, 0, -8772, 4010208, -4472334, -18378224, 11119974, -1783296, 0, 1035912, 2498562, -3187728, -27795668, 5756220, -8374057, 0, 531441, -7162424, 35206864, 8302176, -4644477, -4450924, 0, 229376, -2059142, 4994136, -11062329, 10503008, 40203, 0, 1972446, 997056, 13062024, 9835796, -8958762, 1035776, 0, 3548016, 15024639, -4726272, 2774952, 78096, -6591728, 0, -4724262, 16405196, -68544, 8195456, 8578352, 5470740, 0, -3820320, -13263264, -10376528, 95484, 589824, -17616751, 0, -3678858, 1371056, 1254202, -5991084, -7393101, -7670144, 0, -8936264, -22951446, -37152, -1524356, 1705984, -4744332, 0, -33515060, 8478072, -7091208, -1142528, 9793116, -10502664, 0, -176256, 172962, -8255988, 15445944, 11381632, 2716296, 0, -35151648, -4373504, 4778352, -4611312, -707914, -8721072, 0, 20772, 6014610, 6400640, -21873922, 2256984, 17235248, 0, 7475976, 1038088, 9663992, 4386816, 27533099, 23736500, 0, 21209664, -22619126, -11718288, 1626328, 7788224, 1306926, 0, -22830450, -290304, -25859317, -38047088, 8325657, 12288, 0, 115596, 4519300, 810016, -1261899, 3086664, 12306116, 0, 21842915, 11501676, 12027132, -4164160, 31930424, 5981688, 0, -5108736, 8936613, -32527936, 1709792, -6456096, 19141609, 0, -10372374, 3113472, 4755072, -3672, 9198760, -25443616, 0, 551448, -17353186, -746496, -11632016, 6261020, 19848231, 0, -1038054, -20148768, -181689, 9732800, 9707526, 1334144, 0, -2998224, -35562182, 19526304, -5071896, -748544, 26305560, 0, 12039437, 91392, -24634872, 5206064, 133590, 4396608, 0, 20293248, 223074, -1690496, -27489918, 5467824, -21554868, 0, -6048, 12525640, 11265348, 5535216, -37996224, 2096304, 0, 3896704, 17134038, -2759328, -12747579, -10476000, -8100810, 0, 24325272, 3430656, -3760468, -25970740, -44624196, -8923408, 0, -5552064, -38480459, -1232896, -25443297, 21388688, -134502, 0, -32600543, -13491412, -9856971, 6664192, -39667806, -5359176, 0, -19961504, 10145826, 8938088, -5567296, -15552, -14842751, 0, 21241161, 25403712, -46706300, -14029560, 3452736, 8147968, 0, -2514776, 40237946, -4396464, -62463, -25438076, -20017800, 0, 24557884, 6465744, 20534220, -7950816, -1991448, -10085456, 0, -3170304, -25632790, 91596, -3940488, 4441888, -7369426, 0, 53431265, 10233280, 25515504, 41227024, 2814852, 944784, 0, -7666868, 115317, 14759424, 25471278, 4045392, 2005728, 0, -12318075, -23314992, 2901348, 8878464, 6141088, 49564928, 0, 71472, -4141984, 947376, 2737835, 1772544, -33327351, 0, -61176272, -15926688, 27407905, 40019444, -5564457, 6307584, 0, 1891800, 60600512, 4933248, 46875762, 4546632, -29714484, 0, -53371339, -34403440, 10928925, -121856, 21443136, 13366224, 0, 9725760, -4931766, 16077480, 50365520, -23579136, 13135778, 0, -529686, 1048576, -65833194, -4341924, -91593, -6540192, 0, -41861704, 18990228, -10650816, 36235461, 2510832, 1560384, 0, 109773216, -4869216, 14870721, -66048, -8801136, -22081104, 0, -8434368, -4353836, 35778884, -4601538, 15072128, -33001760, 0, -6839523, 17409984, 19683, 13183296, 22382360, -313344, 0, 25544668, -27247698, 27459456, -10379150, -10312272, 61834960, 0, 34701516, 184968, 4074764, 8494848, 46402957, -16734912, 0, -15504128, 49675564, -9022968, 78975061, 10692640, 41351004, 0, -331806, 4012416, 4135488, -3396228, -2330802, 13290624, 0, 7172388, 49084623, 7798784, -12951495, -52313800, 42891824, 0, -34827827, -34453584, 16115454, -20832512, -29296388, -18679896, 0, 2323424, 10014579, 38761648, 15035486, -516096, -491232, 0, -11236806, 14801168, 17690868, -23631768, -3400340, 205504, 0, -31195160, 9086416, -2243376, -76338162, -221892, -22130541, 0, 47391892, -2330496, 8609431, 21381568, -7983036, 4290856, 0, 10634112, 40488249, -20944784, -175716, 15887312, -4137494, 0, 56308500, -11477504, -36911691, 4060968, -115311952, -18439776, 0, 27123732, -12309165, -6528, 47963318, 8595720, 13212723, 0, 23347188, 3826816, -42793230, -1327104, 7974143, -13221476, 0, 35285744, 176976, -3084876, 85846806, -35820032, 13479939, 0, 74601462, 17257824, 107293084, 2714016, 20106594, -5330176, 0, 83592, -59833400, -9016704, -3838464, -47933312, -78851202, 0, -1654032, 10309836, -19075662, -43795328, -28437916, 2570688, 0, 7816192, 23630994, -21240792, -47433732, 396576, 100314312, 0, 18575973, 9720576, -52740376, -25608672, 42735636, -10752, 0, -9689424, -5170550, 9840384, 36842555, -28426372, 10375452, 0, -23875148, 19622412, -85363936, -4905472, -46737, -55003880, 0, -14401440, 72437326, 71677620, -5078214, 6098944, 51595518, 0, 4470144, -79331904, -2335698, 221544, 35241948, -9870336, 0, -55916040, -53407125, -45232528, -87231690, -47721744, 50375907, 0, 26366148, 21023768, -384162, -17523504, 104537482, 5772052, 0, -9527424, -39643184, 653184, -2070124, 18037024, 85605948, 0, -120339428, -27648, 70710510, 19484236, -260091, 37762064, 0, -1822536, -26516208, -24941440, -6944994, 58132928, 42717030, 0, 359538, -60689216, -25878771, -7815936, 654976, 9369360, 0, -35587200, -13458798, -52275960, 26681634, 11494656, -90178307, 0, 73187856, -3540352, 42778158, 14526216, -12371024, -5636096, 0, 579392, 31401066, -7005312, 35153532, -109876, 8262, 0, -96117060, 57248136, -37952828, 45360896, -1240758, 34231320, 0, 1679616, -36629497, -4328608, -14087295, 205008, -99056456, 0, 59721780, 7191808, 45334728, -50012136, -20358860, -21898800, 0, -81012688, -3001824, 15783936, -300030, 6746004, -93578664, 0, -43934184, -72188272, -873924, 1684224, 83338081, 13365772, 0, -59248624, -85232076, -205632, -41717792, -28314112, -11713644, 0, -10912164, -9892368, -32007921, -5831168, -45659808, 3363200, 0, 3803616, -365073, 83334688, -12302604, -7840944, -58131024, 0, -57472940, 33882628, -28182690, 19429200, -66757826, -12454236, 0, 23762176, -4716684, 58621104, -71437104, -8767584, -7129472, 0, 6208488, -41918464, -37065532, 23571000, 120150696, -941664, 0, -79046448, 23704900, -7718976, -11081268, 111974752, 58434165, 0, 105756394, 20077668, -3350904, -18934784, 12492144, 239472, 0, 2774016, 46171441, 54332948, -48124548, -8656384, -79556278, 0, -31002469, -15646464, 30355677, -1104584, -145944, -14994432, 0, 117393024, 12058146, -8180512, -5166810, 44913384, -18774679, 0, -20110698, 51966016, -12914496, 34992, -114925928, 45462148, 0, -557056, 91851234, -57158352, -210586208, -48440352, 31566510, 0, -85394302, -18332928, -456225, -7634936, 5658246, 61691584, 0, 9892044, 35635336, 15101952, 57235671, -1550976, 44291442, 0, -67179526, 35088, -14547924, -16040832, -14642824, 17889336, 0, 73512896, 22692276, -44479896, -107896714, 7133184, -8007068, 0, -206091, -4143648, -189660874, -9994248, 9876843, 12750912, 0, 111182672, -120414522, -23024880, 64297689, 33496228, -92760804, 0, 31957722, -2125764, -27612652, 28649696, 17250453, -140827456, 0, -33208704, 48464784, 18577908, -9102132, 17803696, -182658, 0, -5208203, -917504, 52458732, 8236568, 135937388, -19976544, 0, 44249316, -111521088, -42012032, 111720894, -160812, -94368815, 0, -2131596, -7889784, -96863766, -3988224, -150116533, -52248096, 0, -39343184, 26379630, 35835048, 57792, -4143104, -90043749, 0, -38626836, -14192064, -45460659, -60098556, -4256550, 18905088, 0, -11099808, 11067272, -312384, -10229922, 26366912, 95918338, 0, 112320768, 18897048, 77407740, -65620784, 117655062, 274176, 0, -32781824, -30074004, -34313408, 124319170, -21882960, 246240234, 0, -36174330, 15281280, -109174, 53053056, -24370367, 41506112, 0, -381936, 243124838, -2359296, 129873648, 70467004, 9769329, 0, 13566112, 14715432, 166643809, -5484224, 94188834, -5016808, 0, 23964336, -130676322, 29572404, -5649372, 30680576, -111929176, 0, -96949004, 35745056, 10955736, 91805784, 140415756, 148608, 0, 6097424, 49682484, -6823936, -202971094, 18977328, 17786751, 0, -80502489, 134060240, -37083934, -33912288, -479685, 28364832, 0, 4570112, -164686378, -39172464, -80252248, 42010656, -29662416, 0, -21618216, 705024, 191281200, -691848, -57475503, 33023952, 0, -61783776, -141141803, -45526528, 23202612, -10865184, 19029392, 0, -12605255, 140606592, -416178, 17494016, -51264072, -19113408, 0, 18445248, 37653552, 2831656, -87681954, 34884288, -135199573, 0, 20301678, -83088, 199064192, -24058440, -243814816, -25602560, 0, 87495688, 177051736, -9027936, 23460197, -68940992, 7641513, 0, -295668, -29903904, 178418031, -4152352, -16137873, -38655968, 0, -17547264, 10042816, -110132396, 117706050, -94946000, 167431702, 0, -5164056, -84838656, 77520564, 90476504, 34543836, 46873152, 0, -6505312, 42029766, -31152896, 228186784, -5227704, -455895, 0, -87213708, 91321800, 318461354, 1161216, -33600878, 103437268, 0, 152188352, 2606032, -33302628, -75997079, -49152, 53171478, 0, 7816184, -462384, -205856569, -18077200, 70189110, -3240064, 0, 5047596, -258664573, -12346656, 499257, -49224464, 4663904, 0, 121735195, -87371660, 5243616, -46006704, -104431950, -48108528, 0, 16656640, -9654426, -127721696, 87839088, -23926752, -99482479, 0, 47125764, 20434944, -106239726, -35746452, 66180065, 130111744, 0, -6839168, -706506, 25824384, 5061444, -76566436, -9137178, 0, 37403250, 41489496, -207136624, -12453888, -61028397, -19020288, 0, 14688, -190419040, -36795040, -19340370, 101774464, 85276438, 0, -11602532, -2205792, -8610336, 69412744, 13250140, 2985984, 0, 46528064, 29748321, -25044080, 81545262, -79392924, 84099744, 0, 6940971, 4152216, 140920446, 80595072, -104587575, 726756, 0, -38931200, 43970252, -38830104, -35399068, -5336576, -6106536, 0, -231699664, 11992896, -62132709, 142248728, -188082, -78105216, 0, 20287584, -106135843, 2994176, 107849952, -105222240, -285020274, 0, 260366892, -48157748, -23197131, -365568, -375212232, 98539488, 0, -20824256, -5784048, -534360, -191486014, -17586432, 91239062, 0, 47791782, -81172992, 976524, -892296, -164761668, 6761984, 0, 109959672, -156157370, -21871296, 95720859, 86219472, 57619512, 0, -3820648, 24192, -395131816, -50102560, 21801204, -45061392, 0, -22140864, 207110083, 151984896, 63959337, -8385216, 22272108, 0, -9633, -15586816, -44150427, -68536152, 230958696, 11037312, 0, 50990316, 123758730, 41904000, 6838944, 32403240, -92625792, 0, -161274645, -97301088, -61696680, -13722624, -88926491, 15041872, 0, 103882960, -55094268, 178496784, 46642389, 35693632, -498474, 0, -95694866, 22208256, -1786700, 153921836, 125811090, 4931584, 0, 101773188, 178450694, -85554752, 107373924, 538008, 240224346, 0, 194908638, 130402172, -47303478, 53965648, -289550800, 39427884, 0, -26656768, -12987117, 158671224, -12623656, 21436704, 167778253, 0, -1469664, 79846016, 211469614, -40583304, 71730180, -35752352, 0, 22269184, -26117726, 62208, 112860201, 59371004, -43839531, 0, 496270, -84964644, 274790425, -101614848, 4100706, 186825200, 0, 56118240, 1679064, -13810944, -130799088, -32591872, 31468446, 0, -99799074, 10059104, 136550736, -160951784, 352711714, 17585856, 0, 249852, -21081060, 101752304, -139152060, 80071200, 4598704, 0, 117620910, -98231536, 159961500, -25862976, 24774848, -82136880, 0, 31803264, 283926534, 7965792, -223095352, 40341824, -32683986, 0, -148914890, 12681216, -115926944, 102531160, -1303632, -366384, 0, 15761952, 284573268, -17767552, 247221, 29477704, -31056932, 0, -67872361, -213725060, -128808306, -40933120, -455652, -102062016, 0, -164908096, -77020470, -11259408, 394144004, -3779136, -192129676, 0, 9739368, 30667472, -36782358, -461268, -271337243, -59037696, 0, -101885112, 36678656, -16181568, -181197899, -8022912, 112527306, 0, 152324148, 49272300, 229944, 93259968, 182278548, -11605392, 0, -35513856, 8521692, -24564352, -15178509, -198259712, 4416300, 0, -130397901, -285888, 162423612, 16567936, 267429726, -3789504, 0, -10951340, -30072987, -7090176, -177503742, 133309404, -45809649, 0, 462672, 244705088, -6773922, 63706752, 167559986, -109631620, 0, -160077776, -292625982, 22257828, 295625932, -25230336, 13120128, 0, 20915412, -7567200, -99143208, -242402048, -8558136, -19732992, 0, -187503048, -238106749, -18186528, 17642124, 118857936, 446598, 0, -153718459, 213485356, -76235913, 137613760, -341380842, -43715700, 0, 487424, 28022031, -85772544, 65402870, -53464896, 42905707, 0, -131897484, -38903040, -72436872, 19727064, 22318892, -64309920, 0, -201462080, -260516288, 94316544, 1169130, -52543112, -53034750, 0, 510334750, 2118744, -13214208, -4194304, 177854508, 263332776, 0, 17367696, 357215159, 366372, -251943192, 26160768, -304440080, 0, 291779672, 167446816, -45174753, -75960912, 224136804, 42603264, 0, -144941844, -538812, -10043328, 148969202, -6241536, -226439675, 0, -122249133, -439092864, -472381142, 19476864, 104834553, -59482884, 0, 264192, 75442586, 35204544, -376240192, 88324416, 2485314, 0, 352821272, 33737472, 201992167, 17415344, -264134304, -143115536, 0, 18406152, 66363276, -60288512, -101055114, 132007040, -107731638, 0, -8118180, 27358092, -116923536, -69639936, 247286034, -78732, 0, -52733184, -102289833, -89529440, -215211712, 1253376, 58193839, 0, 128606292, -102178672, 135503068, 108990792, -337116, -109837824, 0, 41516600, 2913494, 41249088, -187650624, -247339840, 17178606, 0, -267916134, -138806064, -126195995, -739872, -22257099, -16299056, 0, -33979392, 86581927, -185611828, 3489696, 66939648, 311362434, 0, 31886461, 62016512, -78948, -198702256, -90659254, 36091872, 0, -315900244, -40251006, -42770560, -79219114, -165404016, 11856132, 0, 100079766, 1327224, -289341360, -16049664, 272569639, -16541952, 0, 13584912, 134611930, 9323208, -2427872, -53162496, 22487058, 0, -157650, -28689552, 307601784, -196338492, -250161012, -31195136, 0, 51805980, -154810471, 209255200, -75366513, -171567296, -242943124, 0, 28684096, 139311308, 4782969, 137814336, 24185968, -64461816, 0, 83330048, 316861776, 117185552, 419815536, 74719584, -2227731, 0, -41800293, -9293696, 77607654, -40058316, 209332469, -155046592, 0, -60141944, -301998380, 2064384, 111500437, 1964928, -18532278, 0, -386985482, 44947224, 111930376, -59204672, -99560961, -70763472, 0, 94527072, -285816859, 13601360, 361827, -822016, 251954832, 0, -448395808, 124780640, 17752014, -36345664, -26845504, 8973504, 0, 305352648, 117558216, 887568, 144575206, 88522164, -353073171, 0, -80628858, -189567568, 334053266, 9321984, 269301260, -34437724, 0, -85526272, 405768, 31932144, -29020067, -17163424, 135221751, 0, 45070536, -42536448, -440072982, -161952996, 24974568, 83779136, 0, 702864, 36041151, -63549248, -59325552, 16549976, 331147210, 0, 42534330, -225234000, -42518358, 45910016, 110943748, 147646764, 0, -16243872, -616896, 461247808, -369006396, 73759104, 246402043, 0, 77205168, -108494928, -558370910, 49236660, 251859329, 26112, 0, -191853272, 198695748, -34382880, 196868795, -52850892, -119369376, 0, 133561728, -93388752, -238083655, -15307264, 859356, 171172920, 0, 5308416, 459856792, -31896572, -158550759, 52885904, 214196784, 0, 252942207, -141142976, -33109722, -707904, -290065358, 12339504, 0, -343387224, 11287818, 143280128, -8848840, -53919756, 22402240, 0, -66537909, -298405848, 751914, -69031296, 619767232, -429172336, 0, -10856064, -420377082, -80426376, 192168892, 21320704, -206563014, 0, -166642950, -334368, 52376395, 239333600, -13719204, 36066816, 0, 15353856, 225656156, 191733248, -42698988, 315404808, 76421094, 0, -597699, 6616128, -301635540, -41239344, -203400978, 76302648, 0, 175181312, -63820872, 113751664, -6113744, -10282752, -54067684, 0, 88138044, -31264768, 27258784, -94523976, -428799716, 84963168, 0, 189734928, -146749884, -1586304, 356889002, -401257248, 1556658, 0, -176217846, -74303892, -90034152, -38882304, 139013496, 210961504, 0, 102434688, 26509387, -170942544, 24446664, 43008, -206999842, 0, -216837304, 38757696, -316364832, 20682200, 101749990, -39361536, 0, -147370220, 43005168, 113705488, 1969314, -41501808, 719797816, 0, -6371226, 95500592, 442533876, -78489648, -226275885, 341455744, 0, 19621888, 126171184, 186948, -490596792, 220015520, 54131490, 0, 55869442, 57605760, 511862266, -289749304, -196865298, -286710480, 0, 20312856, 194208, -24395776, 155117232, -206382072, -164837662, 0, -353950790, -17880576, 67283784, 317327616, -95070502, 9342792, 0, -886176, 86975928, -140967792, -21417862, 39481344, 52849161, 0, 247797891, 223664160, -3592304, 213628500, -501272328, 180930112, 0, 348926760, 205601038, 190886976, 10897152, -201503628, -203572134, 0, 1065645952, -105464592, -276872911, -84095072, 14636952, 1536648, 0, 70094016, 252835814, -418149928, 11762334, -23088208, -399450744, 0, 462277379, 38109696, -205474050, 158572736, -716310, -2612736, 0, 8280496, -232733853, -72148096, -350662478, -342423792, 368427672, 0, 74930913, 481357712, 860418046, 110592, -22261500, -282842040, 0, -77936944, -888678756, 1040364, 348429291, -151048256, 40673700, 0, 34064800, 7290144, 257073, 106064832, -11357091, 99765760, 0, 27779976, 97752588, -232531712, 110755044, -170868120, -18962242, 0, -375313778, -1438152, 196586235, 242756864, -427142710, 103515084, 0, 31263744, 108244188, -2619904, -17502020, -37477440, -289187136, 0, 287373816, 142348800, 588531548, 53835192, 176470997, 209103840, 0, -106726536, 541303422, -45978624, 345665820, 360713228, 80429517, 0, 204239870, -292751424, 305691539, 14161408, 15388128, -171112632, 0, -58104864, -408602531, 49484096, 172274481, 22544384, -214224, 0, -42418196, -2317568, -93351366, -125604264, 145937792, 28021248, 0, -140614128, 42795648, 439504, 191452062, -33048, -519742261, 0, 82788840, 384468240, -476624856, -228992544, -383919936, 151811312, 0, -181443584, 53982888, 4963032, 2134056, -136925280, -156178674, 0, -167641448, -6718464, 442599746, 146517988, -104688144, 17314432, 0, 56349180, 13638464, -820032, 178634079, 396225824, 484681412, 0, -474743736, -238887120, -9342486, -28767232, -245570068, -181338912, 0, 200048544, -1635201, 81435440, 769246006, 87595200, 272254135, 0, 87367734, 324050752, -445786080, 12007296, 1066080114, -63135744, 0, 1200120, 342217922, -26984016, -16895484, 374314656, -320059638, 0, 517389980, 175736736, 283440864, 288753088, -45647064, 3495696, 0, -6736896, -4781179, -333352324, 236750040, -53463088, 549210362, 0, 31174288, 236994496, 108354933, 340928304, 9439012, 822528, 0, 166871168, -221713848, 113256448, -63924084, 46854576, -406363348, 0, 1202310, 43648656, 350587636, 39569472, 3976812, 128031684, 0, 23324672, 742007840, 182639232, 148022645, -13452800, 2007666, 0, -207775608, -15214464, -448361614, 1460292, -247409262, -333338752, 0, 49210416, -87859571, 31363776, -193993812, 232524096, 343390238, 0, -470373175, 229891760, -54432, -135530512, 630415314, 112730760, 0, -77716800, 101388132, 267031304, 264613660, 49816944, 158926693, 0, -341966016, -95048704, -73018902, 18866736, -609818441, -234484416, 0, 285748416, -618523762, 35070336, -125972262, 28517888, 154206342, 0, 151878, -24833952, -425195236, 167673856, -114728211, 148262128, 0, -94284000, -649512325, -480602784, -72907290, 3766656, 147703262, 0, 398118465, 316185792, 218927448, -94819600, -740752056, 30875904, 0, 44325072, -33844212, -447899008, -365622050, -233736660, -780780, 0, -401617764, -423025576, 933518082, -80310672, -184320062, 13403616, 0, 75739136, -41343684, -49968576, 833375432, -957888, -346324131, 0, -102115152, -11096064, 10483152, -184685764, -228989673, -217331792, 0, 192498192, 97828120, 34625536, -1210518, 318225112, -213956288, 0, -587608536, 124009876, -293404887, 62585856, 528082342, -121422708, 0, 4418336, -88712739, 583776, 35816480, 59977728, -670695940, 0, -357010254, -469572096, -487384842, -48232584, 133598245, 32722048, 0, 20667240, -4770678, -179653536, -458559026, 75098716, 91312434, 0, 481730388, 80442792, 88624693, -207864064, -50105664, 51657984, 0, -139968, -19953557, 459703712, -133584759, -181848592, -779957768, 0, 92253404, 2228224, 191170449, -367404936, -142250740, 228633408, 0, 842344832, -420356700, 193761408, -260044106, -126266040, -13897908, 0, 31074624, 341577208, -226155276, 73331712, -263752402, 1824900, 0, 30539744, -546201572, -22632984, -100055200, -246766336, 362141514, 0, -475485008, -39568176, 87310812, -142541344, -562167, -60407808, 0, -228942684, 443337180, 6203904, -180160200, -177165768, 583160238, 0, 179091353, 268718104, 221020956, -140352, -770435602, 58191696, 0, 64163328, 184807980, 58571296, -1064408148, -71557344, 114128872, 0, -17923032, -294051584, -706924736, -90769104, 22076544, 177919584, 0, 431586856, 495899782, -28532736, -1119870433, 32028272, -230695110, 0, -284261734, 824364, -176713915, 16574592, -35464392, 758643496, 0, 39976992, 36996216, -39507372, -66324834, -51003648, -573547308, 0, -316968, -444730688, 480881385, 481658088, 473310352, 92099520, 0, -257190756, 229639536, -133984912, -762436664, 371043216, 691071276, 0, 25333668, -127830888, 58351344, 8503056, -35263883, 110450608, 0, -114598784, 34040160, -69001812, 233043123, 563309824, 1037853, 0, -689013368, 132834816, 650865080, -193859136, 229241502, -74311632, 0, 36408528, -1030566208, -71214784, 18051552, 730632, 401880306, 0, 257527424, 20832812, -110862675, 3670016, 221661474, -209834928, 0, -32946272, 26112132, -543749552, -1964250, 79906176, -439196534, 0, 55269792, -176997264, -851833274, 446084352, 22721860, 168048128, 0, -446883576, -491550202, 643248, -456677028, 377475260, -37277856, 0, -235816008, 8526384, 84951684, 31559136, 24640515, 387455064, 0, 15952896, -1673139, 600466132, -299946159, 208992384, 28242576, 0, 580278190, 157372736, -550586448, -105518520, 791965028, -143340192, 0, -231168, 246671145, 16572416, 320934894, 360174996, -208322616, 0, -50080113, 154507344, -38174776, 56768256]}