# Stored data for newform 630.6.a.j, downloaded from the LMFDB on 03 December 2024. {"Nk2": 22680, "analytic_conductor": 101.0418064821778, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1], [7, -1]], "atkin_lehner_string": "--+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [630, 1, [281, 127, 451], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[11, [555, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396746998390, "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": "630.6.a.j", "level": 630, "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, 5, 7], "level_radical": 210, "minimal_twist": "70.6.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+4q^{2}+2^{4}q^{4}-5^{2}q^{5}+7^{2}q^{7}+2^{6}q^{8}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "630.6.a", "trace_display": [4, 0, -25, 49], "trace_hash": 1923467599300784572, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.986", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.105", "prec": 17}], "trace_zratio": 0, "traces": [0, 1, 4, 0, 16, -25, 0, 49, 64, 0, -100, -555, 0, -241, 196, 0, 256, 1491, 0, -2038, -400, 0, -2220, 1230, 0, 625, -964, 0, 784, 5001, 0, 5696, 1024, 0, 5964, -1225, 0, -5602, -8152, 0, -1600, 2424, 0, 602, -8880, 0, 4920, 23163, 0, 2401, 2500, 0, -3856, 25296, 0, 13875, 3136, 0, 20004, -5724, 0, -36112, 22784, 0, 4096, 6025, 0, 66104, 23856, 0, -4900, -16080, 0, -80482, -22408, 0, -32608, -27195, 0, -64147, -6400, 0, 9696, 106284, 0, -37275, 2408, 0, -35520, 71676, 0, -11809, 19680, 0, 92652, 50950, 0, 151025, 9604, 0, 10000, 57150, 0, 115889, -15424, 0, 101184, 137862, 0, 88397, 55500, 0, 12544, -205554, 0, -30750, 80016, 0, -22896, 73059, 0, 146974, -144448, 0, 91136, -15625, 0, 250916, 16384, 0, 24100, 52122, 0, -99862, 264416, 0, 95424, 135468, 0, -349486, -19600, 0, -64320, 133755, 0, -125025, -321928, 0, -89632, -176082, 0, 383333, -130432, 0, -108780, -142400, 0, 345914, -256588, 0, -25600, 60270, 0, 91586, 38784, 0, 425136, -38097, 0, -313212, -149100, 0, 9632, 541443, 0, 30625, -142080, 0, 286704, -166188, 0, -197320, -47236, 0, 78720, 140050, 0, -827505, 370608, 0, 203800, 337221, 0, 260516, 604100, 0, 38416, 409212, 0, 300980, 40000, 0, 228600, 245049, 0, -60600, 463556, 0, -61696, 1131090, 0, -1226179, 404736, 0, 551448, -15050, 0, 279104, 353588, 0, 222000, -359331, 0, 621257, 50176, 0, -822216, -1297677, 0, -124264, -123000, 0, 320064, -1087416, 0, -579075, -91584, 0, 292236, 545631, 0, 811310, 587896, 0, -577792, -60025, 0, 491158, 364544, 0, -62500, 897738, 0, -682650, 1003664, 0, 65536, 594678, 0, -274498, 96400, 0, 208488, -1028370, 0, -632400, -399448, 0, 1057664, 1243902, 0, 737624, 381696, 0, 541872, -346875, 0, -2200630, -1397944, 0, -78400, -173979, 0, -551053, -257280, 0, 535020, 118776, 0, 803224, -500100, 0, -1287712, 1675119, 0, 143100, -358528, 0, -704328, -296430, 0, 29498, 1533332, 0, -521728, 902800, 0, 2330603, -435120, 0, -569600, -706266, 0, -183565, 1383656, 0, -1026352, -2706654, 0, -2775555, -102400, 0, 241080, -3038658, 0, -150625, 366344, 0, 155136, 1134987, 0, -2143372, 1700544, 0, -152388, -1652600, 0, 655346, -1252848, 0, -596400, -3161280, 0, 117649, 38528, 0, 2165772, 4222746, 0, 3017102, 122500, 0, -568320, -2252577, 0, 402000, 1146816, 0, -664752, 1839504, 0, 1677345, -789280, 0, -188944, 2012050, 0, -1688323, 314880, 0, 560200, 1239504, 0, 1812116, -3310020, 0, 1482432, -1205241, 0, -4767076, 815200, 0, 1348884, 69996, 0, 679875, 1042064, 0, 2416400, -3988953, 0, 1833930, 153664, 0, 1636848, 1603675, 0, -3059035, 1203920, 0, 160000, -4307937, 0, -1372736, 914400, 0, 980196, 3109110, 0, -239206, -242400, 0, 1854224, -280476, 0, -2657100, -246784, 0, 4524360, -4634616, 0, -2101075, -4904716, 0, 1618944, 931875, 0, -1769488, 2205792, 0, -60200, -1654839, 0, -1840306, 1116416, 0, 1414352, -2506740, 0, 5836838, 888000, 0, -1437324, -1197042, 0, -1791900, 2485028, 0, 200704, 3425697, 0, -1345320, -3288864, 0, -5190708, 295225, 0, 5297420, -497056, 0, -492000, -8877312, 0, -2174752, 1280256, 0, -4349664, 378969, 0, 3239096, -2316300, 0, -366336, -334110, 0, -1273750, 1168944, 0, 2182524, -1884894, 0, 1350082, 3245240, 0, 2351584, -3775625, 0, 3676886, -2311168, 0, -240100, -9540153, 0, 7456491, 1964632, 0, 1458176, -787920, 0, 4782431, -250000, 0, 3590952, 10839465, 0, -1428750, -2730600, 0, 4014656, 7641774, 0, -3943618, 262144, 0, 2378712, -2897225, 0, -12855465, -1097992, 0, 385600, -6440106, 0, -4779292, 833952, 0, -4113480, 8492736, 0, -4923443, -2529600, 0, -1597792, -584184, 0, -3446550, 4230656, 0, 4975608, -1332555, 0, -2056777, 2950496, 0, 1526784, -2209925, 0, -12018928, 2167488, 0, -1387500, -10192038, 0, -3143203, -8802520, 0, -5591776, -8699424, 0, -145082, -313600, 0, -695916, 7359420, 0, 5138850, -2204212, 0, -1029120, 7500294, 0, -2228788, 2140080, 0, 475104, 768750, 0, -5109457, 3212896, 0, -2000400, 5207916, 0, -14039280, -5150848, 0, 6700476, -11064552, 0, -11608448, 572400, 0, -1434112, -9100431, 0, -1826475, -2817312, 0, -1185720, 12861489, 0, 1581626, 117992, 0, 6133328, -3674350, 0, -688297, -2086912, 0, 3611200, -5582283, 0, -6021502, 9322412, 0, -1740480, -3361374, 0, 13176926, -2278400, 0, -2825064, 3512124, 0, 390625, -734260, 0, 5534624, -8352582, 0, 1262639, -4105408, 0, -10826616, -6272900, 0, -578641, -11102220, 0, -409600, 15885918, 0, 1808801, 964320, 0, -12154632, -95712, 0, 3176820, -602500, 0, 1465376, -3067362, 0, -1303050, 620544, 0, 4539948, 1329609, 0, -7371880, -8573488, 0, 6802176, 2496550, 0, 6151230, -609552, 0, -6610400, 20042160, 0, 8484764, 2621384, 0, -5011392, 4358913, 0, 7400225, -2385600, 0, -12645120, 15873168, 0, -3386700, 470596, 0, 154112, -6096336, 0, -554956, 8663088, 0, 16890984, 8737150, 0, 3614184, 12068408, 0, 490000, 7747197, 0, 11416876, -2273280, 0, -9010308, 2800350, 0, -18905521, 1608000, 0, 4587264, 7006080, 0, -3343875, -2659008, 0, 7358016, 18392778, 0, 5678561, 6709380, 0, -3157120, 3125625, 0, -13425904, -755776, 0, 8048200, 897582, 0, 10847315, -6753292, 0, 1259520, -36687720, 0, 26432339, 2240800, 0, 4958016, -20312016, 0, 4402050, 7248464, 0, -13240080, 6755238, 0, -3953875, 5929728, 0, -4820964, -9583325, 0, -26216512, -19068304, 0, 3260800, -11432862, 0, 4331453, 5395536, 0, 279984, 1379484, 0, 23707634, 2719500, 0, 4168256, 12417969, 0, 3560000, 9665600, 0, -15955812, -4940112, 0, 8924400, 7335720, 0, 614656, -8647850, 0, 30655277, 6547392, 0, 6414700, -10072146, 0, 8702992, -12236140, 0, 4815680, 15186963, 0, 34536033, 640000, 0, -17231748, 44667510, 0, -1506750, -5490944, 0, 3657600, -539721, 0, 13977182, 3920784, 0, 12436440, -2289650, 0, -1226876, -956824, 0, -969600, 17813679, 0, 19100960, 7416896, 0, -1121904, -3192246, 0, 8568416, -10628400, 0, -987136, 3579891, 0, 952425, 18097440, 0, -18538464, -35675082, 0, 4498852, -8404300, 0, -19618864, 7830300, 0, 7201726, 6475776, 0, 3727500, -6890460, 0, 30635546, -7077952, 0, 8823168, 4461882, 0, 26397404, -240800, 0, -6619356, 21753036, 0, -13536075, -7361224, 0, 4465664, 35601585, 0, -15931064, 5657408, 0, -10026960, -765625, 0, -15838318, 23347352, 0, 3552000, -19742736, 0, -17289940, -5749296, 0, -4788168, 44469264, 0, 12294884, -7167600, 0, 9940112, -47206194, 0, 4154700, 802816, 0, 13702788, 28485696, 0, 37716336, -5381280, 0, -13155456, 4933000, 0, 2568866, -20762832, 0, 1180900, -11269248, 0, -58987620, 21189680, 0, -1988224, 2553978, 0, 31837841, -1968000, 0, -35509248, 3875280, 0, -3501250, -8699008, 0, 5121024, -18855816, 0, -4893238, -17398656, 0, 1515876, 20687625, 0, 11294633, 12956384, 0, -9265200, 29194104, 0, 2981520, -1465344, 0, -1336440, -10589196, 0, 19396162, -5095000, 0, 4675776, 39031716, 0, -8430525, 8730096, 0, -7539576, 6637932, 0, 3815265, 5400328, 0, 12980960, -6512900, 0, -34339522, 9406336, 0, -15102500, 18146436, 0, -17124814, 14707544, 0, -9244672, 10522314, 0, -39780180, -960400, 0, -38160612, 7913529, 0, -10230300, 29825964, 0, 7858528, 740460, 0, 40155584, 5832704, 0, -3151680, -7524500, 0, -49347823, 19129724, 0, -1000000, 6553995, 0, -8534484, 14363808, 0, 43357860, -51553248, 0, 17772701, -5715000, 0, -10922400, 22147434, 0, -6126225, 16058624, 0, 30567096, -2285016, 0, 45943406, -15774472, 0, 1048576, 1515000, 0, 15459427, 9514848, 0, -11588900, 4642125, 0, 8485214, -51421860, 0, -4391968, -53842992, 0, 40077866, 1542400, 0, -25760424, -8628018, 0, -28277250, -19117168, 0, 3335808, 25447620, 0, -42574081, -16453920, 0, 33970944, 30654475, 0, 18783317, -19693772, 0, -10118400, 48071895, 0, 11174276, -6391168, 0, -2336736, -83818875, 0, -5554072, -13786200, 0, 16922624, -28015602, 0, 376250, 19902432, 0, -5330220, -25614444, 0, 28490490, -8227108, 0, 11801984, -6977600, 0, -47535868, 6107136, 0, -8839700, -11901300, 0, -17451058, -48075712, 0, 8669952, 14504694, 0, 16949786, -5550000, 0, -40768152, -36638772, 0, 8983275, -12572812, 0, -35210080, 55179774, 0, -31718250, -22367104, 0, -34797696, -15531425, 0, 2123444, -580328, 0, -1254400, 11665512, 0, -1617319, -2783664, 0, 29437680, 2953230, 0, -31836415, 20555400, 0, -8816848, -64318395, 0, 32441925, -4116480, 0, 30001176, 98561064, 0, 4487714, -8915152, 0, 8560320, 3106600, 0, -31908992, 1900416, 0, 3075000, 76858272, 0, 29282558, -20437828, 0, 12851584, -17273916, 0, 73596256, -8001600, 0, 20831664, -8529090, 0, 27185400, -56157120, 0, -20603392, -1866753, 0, 53625665, 26801904, 0, -44258208, 14476875, 0, -76513410, -46433792, 0, 2289600, -32317500, 0, -15347388, -5736448, 0, -36401724, 29584428, 0, 12122424, -7305900, 0, -11269248, 32952201, 0, -13640775, -4742880, 0, 51445956, -49060335, 0, -58606561, 6326504, 0, 471968, -20282750, 0, -23975280, 24533312, 0, -14697400, 26530707, 0, -31585576, -2753188, 0, -8347648, -2728701, 0, 31114080, 14444800, 0, -22329132, -25821609, 0, 1500625, -24086008, 0, 37289648, 17445930, 0, 6548522, -6961920, 0, -13445496, -12278950, 0, -14949010, 52707704, 0, -9113600, -119998662, 0, 114082470, -11300256, 0, 14048496, 3010602, 0, -12176914, 1562500, 0, -2937040, -8143212, 0, -22443450, 22138496, 0, -33410328, -7848678, 0, -36397025, 5050556, 0, -16421632, 17066250, 0, -9668680, -43306464, 0, -25091600, 13807104, 0, -134719952, -2314564, 0, -44408880, -42064281, 0, -52698130, -1638400, 0, 63543672, -43797540, 0, -14866950, 7235204, 0, 3857280, -113762550, 0, -43959808, -48618528, 0, -382848, 6862450, 0, 5609384, 12707280, 0, -2410000, -88279602, 0, 89305592, 5861504, 0, -12269448, -38272413, 0, -40547745, -5212200, 0, 2482176, -13773150, 0, 25709250, 18159792, 0, 5318436, 35856894, 0, -68673508, -29487520, 0, -34293952, 15810000, 0, -102709342, 27208704, 0, 9986200, 7812735, 0, 3428992, 24604920, 0, -2438208, 16523829, 0, -27929249, -26441600, 0, 80168640, -95643177, 0, -31097550, 33939056, 0, 10485536, 32771040, 0, 12765284, -20045568, 0, 17435652, -18440600, 0, -7040520, 29600900, 0, -9542400, 71196528, 0, 115838163, -50580480, 0, 63492672, -20482494, 0, -37961553, -13546800, 0, 1882384, -121754490, 0, 8671875, 616448, 0, -24385344, 20051388, 0, -122460502, -2219824, 0, 34652352, 55015750, 0, 164022316, 67563936, 0, 34948600, -33224742, 0, 14748020, 14456736, 0, 48273632, -139258380, 0, 114409730, 1960000, 0, 30988788, -44417760, 0, 4349475, 45667504, 0, -9093120, 44782707, 0, 158469444, -36041232, 0, 11201400, 13776325, 0, -21303677, -75622084, 0, 6432000, 12007401, 0, 12531134, 18349056, 0, 28024320, 3715995, 0, -30624394, -13375500, 0, -10636032, -27523353, 0, -2969400, 29432064, 0, 73571112, 108731601, 0, -28927710, 22714244, 0, 26837520, -20080600, 0, -96743071, -12628480, 0, 12502500, -46566732, 0, -73116100, -53703616, 0, -3023104, 131936448, 0, 16909238, 32192800, 0, 3590328, 55423410, 0, -41877975, 43389260, 0, -27013168, 49538514, 0, -20740408, 5038080, 0, -146750880, -3577500, 0, -60082771, 105729356, 0, 8963200, 69075351, 0, 6073901, 19832064, 0, -81248064, 155207535, 0, -11833228, 17608200, 0, 28993856, -61752840, 0, 7410750, -52960320, 0, 27020952, -109724433, 0, 130731586, -15815500, 0, 23718912, -737450, 0, -75184740, -19283856, 0, -38333300, -83712270, 0, 106868916, -104866048, 0, -76273216, -13579248, 0, 13676096, 13043200, 0, -45731448, -41232672, 0, -22570000, 17325812, 0, 21582144, 193964730, 0, 117940592, 1119936, 0, 5517936, -58265075, 0, 126505296, 94830536, 0, 10878000, 81307920, 0, -33755107, 16673024, 0, 49671876, -17607219, 0, -2601394, 14240000, 0, 38662400, 17914857, 0, 17656650, -63823248, 0, -19760448, 82415802, 0, 30441593, 35697600, 0, 29342880, 4589125, 0, -146027224, 2458624, 0, -34591400, -30693306, 0, -35420734, 122621108, 0, 26189568, -216606792, 0, -185382235, 25658800, 0, -40288584, 2172270, 0, 67666350, 34811968, 0, -48944560, -63586173, 0, -3372404, 19262720, 0, 60747852, 69388875, 0, -162449182, 138144132, 0, 2560000, 132747114, 0, -6088936, -68926992, 0, 178670040, 84091248, 0, -148993024, -6027000, 0, -21963776, 45852318, 0, 75966450, 14630400, 0, -2158884, 92422065, 0, 44470814, 55908728, 0, 15683136, 3765625, 0, 106559540, 49745760, 0, -9158600, -53283384, 0, -19778400, -4907504, 0, -3827296, -114416895, 0, 97725510, -3878400, 0, 71254716, 144086016, 0, -28374675, 76403840, 0, 29667584, 225178275, 0, -60470756, -4487616, 0, -12768984, 53584300, 0, 165751679, 34273664, 0, -42513600, -212749815, 0, 799442, -3948544, 0, 14319564, 106340598, 0, 10034672, 3809700, 0, 72389760, 26735919, 0, 41315000, -74153856, 0, -142700328, -98992860, 0, -109980425, 17995408, 0, -33617200, -16383650, 0, 39754190, -78475456, 0, 31321200, -146075688, 0, -40286581, 28806904, 0, 25903104, 75550098, 0, 21637070, 14910000, 0, -27561840, -12561402, 0, 79032000, 122542184, 0, -28311808, 171702831, 0, -28625724, 35292672, 0, 17847528, -2941225, 0, 85210650, 105589616, 0, -963200, 48517506, 0, 234838664, -26477424, 0, 87012144, -191982270, 0, 24066742, -54144300, 0, -29444896, 10994934, 0, -105568650, 17862656, 0, 142406340, -129759126, 0, -217526356, -63724256, 0, 22629632, -75427550, 0, -190096, -40107840, 0, -3062500, 172790499, 0, 106621361, -63353272, 0, 93389408, 43989162, 0, -6692068, 14208000, 0, -78970944, 1459248, 0, 56314425, -69159760, 0, -22997184, -180596112, 0, -33449850, -19152672, 0, 177877056, -10050000, 0, -91650790, 49179536, 0, -28670400, -32647788, 0, -5791579, 39760448, 0, -188824776, 15718212, 0, 140185490, 16618800, 0, 3211264, -50830230, 0, -45987600, 54811152, 0, 113942784, 29139222, 0, -137964319, 150865344, 0, -21525120, -41933625, 0, 84226126, -52621824, 0, 19732000, -61115082, 0, -13450402, 10275464, 0, -83051328, -78900810, 0, 205552242, 4723600, 0, -45076992, -220394889, 0, -50301250, -235950480, 0, 84758720, -32603904, 0, 119153765, -7952896, 0, 10215912, 42208075, 0, 21143835, 127351364, 0, -7872000, -50390130, 0, -307788950, -142036992, 0, 15501120, -75115248, 0, -146646039, -14005000, 0, -34796032, 131799927, 0, -30987600, 20484096, 0, -75423264, 173832660, 0, -24121642, -19572952, 0, -69594624, -45302900, 0, 248332085, 6063504, 0, 82750500, 144352497, 0, 4112438, 45178532, 0, 51825536, 246663798, 0, -40291216, -37060800, 0, 116776416, 60951198, 0, 30131025, 11926080, 0, -5861376, -78421008, 0, -205693952, -5345760, 0, -42356784, 119176900, 0, 36143576, 77584648, 0, -20380000, 85165863, 0, -300500865, 18703104, 0, 156126864, 18361497, 0, 130729320, -33722100, 0, 34920384, -137238276, 0, -1749900, -30158304, 0, 26551728, -116471700, 0, -306481014, 15261060, 0, 21601312, -16996875, 0, 56147112, 51923840, 0, -26051600, 55679640, 0, -180668062, -137358088, 0, 37625344, 42435762, 0, -107830870, -60410000, 0, 72585744, 330586104, 0, 99723825, -68499256, 0, 58830176, -163923444, 0, 152133086, -36978688, 0, 42089256, -45848250, 0, -236181782, -159120720, 0, -3841600, -141708192, 0, -92383253, -152642448, 0, 31654116, -8524971, 0, 92234340, -40921200, 0, 119303856, -73253175, 0, -40091875, 31434112, 0, 2961840, -55068180, 0, -27001597, 160622336, 0, 23330816, 76475875, 0, -217124023, -12606720, 0, -30098000, 109512600, 0, -60479299, -197391292, 0, 76518896, 310817862, 0, 215271659, -4000000, 0, 26215980, -204232488, 0, 107698425, -34137936, 0, 57455232, 5820024, 0, 342404345, 173431440, 0, -206212992, 34318400, 0, 89417150, 71090804, 0, -22860000, 13944126, 0, 39357976, -43689600, 0, 88589736, 357453318, 0, -292346248, -24504900, 0, 64234496, -280962756, 0, -77727750, 122268384, 0, -9140064, 122408520, 0, -83365274, 183773624, 0, -63097888, 5980150, 0, 88161480, 4194304, 0, 6060000, 82080831, 0, 213987332, 61837708, 0, 38059392, 219138234, 0, -80416080, -46355600, 0, 18568500, -133838736, 0, 7011900, 33940856, 0, -205687440, -90920475, 0, -180153086, -17567872, 0, -215371968, 66427500, 0, 376528384, 160311464, 0, 6169600, -93018222, 0, 313780418, -103041696, 0, -34512072, 189670950, 0, 7326500, -113109000, 0, -76468672, -14525070, 0, 115865400, 13343232, 0, 101790480, 146508870, 0, -187157655, -170296324, 0, -65815680, 52526875, 0, 1445402, 135883776, 0, 122617900, -186354063, 0, -265996651, 75133268, 0, -78775088, -402490482, 0, -22072226, -40473600, 0, 192287580, -144586380, 0, -23296875, 44697104, 0, -25564672, 91819515, 0, 151781750, -9346944, 0, -335275500, 44237200, 0, -29238700, -22216288, 0, -55144800, -321299778, 0, -10700656, 67690496, 0, -112062408, 418919052, 0, 114199547, 1505000, 0, 79609728, 1804914, 0, 41370975, -21320880, 0, -102457776, 374115756, 0, -216488344, 113961960, 0, -32908432, 46007650, 0, -227112660, 47207936, 0, -27910400, 9181377, 0, 61317504, -190143472, 0, 24428544, -34607034, 0, 334882097, -35358800, 0, -47605200, 32065848, 0, 62668500, -69804232, 0, -192302848, -167043900, 0, -8994685, 34679808, 0, 58018776, -145920950, 0, 164965705, 67799144, 0, -22200000, -91591680, 0, -374405644, -163072608, 0, -146555088, 3552732, 0, 307179562, 35933100, 0, -50291248, -430925664, 0, 29926050, -140840320, 0, 220719096, -132626046, 0, -111360370, -126873000, 0, -89468416, 44797500, 0, 77713902, -139190784, 0, -62125700, 185760750, 0, -136002195, 8493776, 0, -2321312, 63797352, 0, -193071358, -5017600, 0, 46662048, 255218469, 0, -85642425, -6469276, 0, -11134656, -130487763, 0, -23918428, 117750720, 0, 11812920, 33633000, 0, 202299424, -127345660, 0, 82221600, -148894242, 0, -458425472, -35267392, 0, -257273580, -4057257, 0, -841003, 129767700, 0, -16465920, -26691342, 0, -7380625, 120004704, 0, 394244256, 15228192, 0, 59971898, 17950856, 0, -35660608, -132435500, 0, -108369475, 34241280, 0, 12426400, -320799147, 0, 98414822, -127635968, 0, 7601664, -497283972, 0, -299533012, 12300000, 0, 307433088, 55614363, 0, 221932800, 117130232, 0, -81751312, -95580498, 0, -247198549, 51406336, 0, -69095664, 54368800, 0, -105025228, 294385024, 0, -32006400, 680529345, 0, 70294500, 83326656, 0, -34116360, 40051308, 0, 201982788, 108741600, 0, -224628480, 450411390, 0, -9474225, -82413568, 0, -7467012, -80027388, 0, 126457790, 214502660, 0, 107207616, -80977400, 0, 259254140, -177032832, 0, 57907500, 337292394, 0, 47554120, -306053640, 0, -185735168, 39567651, 0, 32111954, 9158400, 0, -129270000, -521083626, 0, 8352750, -61389552, 0, -22945792, 142543470, 0, -87590476, -145606896, 0, 118337712, 31843750, 0, 508549520, 48489696, 0, -29223600, -429111729, 0, 139436933, -45076992, 0, 131808804, -154902720, 0, 43882289, -54563100, 0, -18971520, 365248398, 0, 47122350, 205783824, 0, -196241340, -191563854, 0, 5764801, -234426244, 0, 25306016, -33752050, 0, 531526284, 1887872, 0, -81131000, -114830442, 0, -511366808, -95901120, 0, 98133248, -482968122, 0, -13874976, -58789600, 0, 106122828, -385764882, 0, 94390625, -126342304, 0, -11012752, 206914554, 0, 199428705, -33390592, 0, -10914804, -91922150, 0, 84215768, 124456320, 0, 57779200, -477259020, 0, 147837998, -89316528, 0, -103286436, 26988492, 0, -365381312, 6002500, 0, -96344032, -344797635, 0, 238503825, 149158592, 0, 69783720, 163384065, 0, 169570260, 26194088, 0, -27847680, -186412275, 0, 66440468, -53781984, 0, -49115800, -110376273, 0, -511714390, -59796040, 0, 210830816, 139150779, 0, -370314608, -36454400, 0, -479994648, -81270261, 0, 19698000, 456329880, 0, -45201024, -106224636, 0, 585931248, 56193984, 0, 12042408, -119560775, 0, 720210735, -48707656, 0, 6250000, -87535488, 0, -22775434, -11748160, 0, -32572848, 108728310, 0, -62784356, -89773800, 0, 88553984, 90135696, 0, -270986625, -133641312, 0, -31394712, 68966520, 0, 446449493, -145588100, 0, 20202224, 35718750, 0, 82189905, -65686528, 0, 68265000, -462331191, 0, -262538262, -38674720, 0, -173225856, -3445848, 0, 441877376, -100366400, 0, 55228416, 116307180, 0, -191044350, -538879808, 0, -9258256, 309985965, 0, -584445250, -177635520, 0, -168257124, 98590450, 0, -46971838, -210792520, 0, -6553600, -98620092, 0, 603515880, 254174688, 0, -175190160, 571549503, 0, -82727827, -59467800, 0, 28940816, 605393664, 0, 72430625, 15429120, 0, -455050200, 205094208, 0, 358451676, -175839232, 0, -194474112, 321386625, 0, -72536180, -1531392, 0, 27449800, -329997747, 0, -461882905, 22437536, 0, 50829120, 60735696, 0, -252831420, -9640000, 0, -353118408, -276083784, 0, 161002650, 357222368, 0, 23446016, 12266922, 0, 88793684, -49077792, 0, -153089652, 119482300, 0, -134095813, -162190980, 0, -20848800, -117579186, 0, -21739424, 9928704, 0, -55092600, 90080160, 0, -302825205, 102837000, 0, 72639168, 409015206, 0, -212318400, 21273744, 0, 143427576, -59056809, 0, 712252468, -274694032, 0, -117950080, 123086075, 0, 93112544, -137175808, 0, 63240000, -450277050, 0, -233586724, -410837368, 0, 108834816, 168055878, 0, 120333644, 39944800, 0, 31250940, -158976321, 0, 14604600, 13715968, 0, 98419680, 515757774, 0, -187342777, -9752832, 0, 66095316, 86163750, 0, -591464737, -111716996, 0, -105766400, 3429804, 0, 279429860, 320674560, 0, -382572708, -30624987, 0, -405705343, -124390200, 0, 135756224, -160331313, 0, 33313875, 41942144, 0, 131084160, -468541005, 0, 450860164, 51061136, 0, -80182272, 51419425, 0, 111223820, 69742608, 0, -73762400, -260748639, 0, 180161864, -28162080, 0, 118403600, -272592690, 0, 314128028, -38169600, 0, 284786112, -195458697, 0, 55248125, 463352652, 0, -202321920, -641166468, 0, -649190749, 253970688, 0, -81929976, 300473200, 0, 89862570, -151846212, 0, -54187200, 752747454, 0, 295509139, 7529536, 0, -487017960, 160236096, 0, -376205140, 34687500, 0, 2465792, 321282072, 0, 254800950, -97541376, 0, 80205552, 408266496, 0, -498244590, -489842008, 0, -8879296, 78580075, 0, 228078818, 138609408, 0, 220063000, 136554726, 0, -132585012, 656089264, 0, 270255744, -211998393, 0, -149892715, 139794400, 0, -132898968, 180778020, 0, 217485600, 58992080, 0, 57826944, -159120660, 0, 204563402, 193094528, 0, -557033520, 3627050, 0, 501695078, 457638920, 0, 7840000, 374057625, 0, -47118916, 123955152, 0, -177671040, -211088913, 0, 221692123, 17397900, 0, 182670016, 755276025, 0, -183985500, -36372480, 0, 179130828, -622178484, 0, -67264064, 633877776, 0, -144164928, -128471250, 0, -330046290, 44805600, 0, 55105300, 358855116, 0, 270701969, -85214708, 0, -302488336, -83411358, 0, -56802627, 25728000, 0, 48029604, -587346270, 0, -187507350, 50124536, 0, 73396224, 152346390, 0, -175320796, 112097280, 0, 14863980, 55719700, 0, -307750078, -122497576, 0, -53502000, 536544168, 0, -11721094, -42544128, 0, -110093412, -836462256, 0, -781232654, -11877600, 0, 117728256, -466999092, 0, -19218750, 294284448, 0, 434926404, 503184609, 0, 39794608, -115710840, 0, 90856976, 127736425, 0, -555192244, 107350080, 0, -80322400, -13743324, 0, 570745350, -386972284, 0, -50513920, 262062354, 0, -149722937, 50010000, 0, -186266928, -543442185, 0, -130197900, -292464400, 0, -214814464, -107070813, 0, -38977920, -12092416, 0, 527745792, 350982000, 0, 282373754, 67636952, 0, 128771200, 308626680, 0, 359351494, 14361312, 0, 221693640, 742626834, 0, 285807150, -167511900, 0, 173557040, -227096184, 0, 276613800, -108052672, 0, 198154056, -489294636, 0, 807291513, -82961632, 0, 20152320, 290211200, 0, -102952675, -587003520, 0, -14310000, 312740157, 0, 540084107, -240331084, 0, 422917424, 98649459, 0, -690365610, 35852800, 0, 276301404, 107734404, 0, 227510775, 24295604, 0, 79328256, -231609906, 0, -751534612, -324992256, 0, 620830140, 45661875, 0, 29947624, -47332912, 0, 70432800, -409381320, 0, -704972732, 115975424, 0, -247011360, 579560889, 0, -86704912, 29643000, 0, -211841280, -195088368, 0, -321537225, 108083808, 0, -438897732, 11857344, 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, -25, 0, 49, 64, 0, -100, -555, 0, -241, 196, 0, 256, 1491, 0, -2038, -400, 0, -2220, 1230, 0, 625, -964, 0, 784, 5001, 0, 5696, 1024, 0, 5964, -1225, 0, -5602, -8152, 0, -1600, 2424, 0, 602, -8880, 0, 4920, 23163, 0, 2401, 2500, 0, -3856, 25296, 0, 13875, 3136, 0, 20004, -5724, 0, -36112, 22784, 0, 4096, 6025, 0, 66104, 23856, 0, -4900, -16080, 0, -80482, -22408, 0, -32608, -27195, 0, -64147, -6400, 0, 9696, 106284, 0, -37275, 2408, 0, -35520, 71676, 0, -11809, 19680, 0, 92652, 50950, 0, 151025, 9604, 0, 10000, 57150, 0, 115889, -15424, 0, 101184, 137862, 0, 88397, 55500, 0, 12544, -205554, 0, -30750, 80016, 0, -22896, 73059, 0, 146974, -144448, 0, 91136, -15625, 0, 250916, 16384, 0, 24100, 52122, 0, -99862, 264416, 0, 95424, 135468, 0, -349486, -19600, 0, -64320, 133755, 0, -125025, -321928, 0, -89632, -176082, 0, 383333, -130432, 0, -108780, -142400, 0, 345914, -256588, 0, -25600, 60270, 0, 91586, 38784, 0, 425136, -38097, 0, -313212, -149100, 0, 9632, 541443, 0, 30625, -142080, 0, 286704, -166188, 0, -197320, -47236, 0, 78720, 140050, 0, -827505, 370608, 0, 203800, 337221, 0, 260516, 604100, 0, 38416, 409212, 0, 300980, 40000, 0, 228600, 245049, 0, -60600, 463556, 0, -61696, 1131090, 0, -1226179, 404736, 0, 551448, -15050, 0, 279104, 353588, 0, 222000, -359331, 0, 621257, 50176, 0, -822216, -1297677, 0, -124264, -123000, 0, 320064, -1087416, 0, -579075, -91584, 0, 292236, 545631, 0, 811310, 587896, 0, -577792, -60025, 0, 491158, 364544, 0, -62500, 897738, 0, -682650, 1003664, 0, 65536, 594678, 0, -274498, 96400, 0, 208488, -1028370, 0, -632400, -399448, 0, 1057664, 1243902, 0, 737624, 381696, 0, 541872, -346875, 0, -2200630, -1397944, 0, -78400, -173979, 0, -551053, -257280, 0, 535020, 118776, 0, 803224, -500100, 0, -1287712, 1675119, 0, 143100, -358528, 0, -704328, -296430, 0, 29498, 1533332, 0, -521728, 902800, 0, 2330603, -435120, 0, -569600, -706266, 0, -183565, 1383656, 0, -1026352, -2706654, 0, -2775555, -102400, 0, 241080, -3038658, 0, -150625, 366344, 0, 155136, 1134987, 0, -2143372, 1700544, 0, -152388, -1652600, 0, 655346, -1252848, 0, -596400, -3161280, 0, 117649, 38528, 0, 2165772, 4222746, 0, 3017102, 122500, 0, -568320, -2252577, 0, 402000, 1146816, 0, -664752, 1839504, 0, 1677345, -789280, 0, -188944, 2012050, 0, -1688323, 314880, 0, 560200, 1239504, 0, 1812116, -3310020, 0, 1482432, -1205241, 0, -4767076, 815200, 0, 1348884, 69996, 0, 679875, 1042064, 0, 2416400, -3988953, 0, 1833930, 153664, 0, 1636848, 1603675, 0, -3059035, 1203920, 0, 160000, -4307937, 0, -1372736, 914400, 0, 980196, 3109110, 0, -239206, -242400, 0, 1854224, -280476, 0, -2657100, -246784, 0, 4524360, -4634616, 0, -2101075, -4904716, 0, 1618944, 931875, 0, -1769488, 2205792, 0, -60200, -1654839, 0, -1840306, 1116416, 0, 1414352, -2506740, 0, 5836838, 888000, 0, -1437324, -1197042, 0, -1791900, 2485028, 0, 200704, 3425697, 0, -1345320, -3288864, 0, -5190708, 295225, 0, 5297420, -497056, 0, -492000, -8877312, 0, -2174752, 1280256, 0, -4349664, 378969, 0, 3239096, -2316300, 0, -366336, -334110, 0, -1273750, 1168944, 0, 2182524, -1884894, 0, 1350082, 3245240, 0, 2351584, -3775625, 0, 3676886, -2311168, 0, -240100, -9540153, 0, 7456491, 1964632, 0, 1458176, -787920, 0, 4782431, -250000, 0, 3590952, 10839465, 0, -1428750, -2730600, 0, 4014656, 7641774, 0, -3943618, 262144, 0, 2378712, -2897225, 0, -12855465, -1097992, 0, 385600, -6440106, 0, -4779292, 833952, 0, -4113480, 8492736, 0, -4923443, -2529600, 0, -1597792, -584184, 0, -3446550, 4230656, 0, 4975608, -1332555, 0, -2056777, 2950496, 0, 1526784, -2209925, 0, -12018928, 2167488, 0, -1387500, -10192038, 0, -3143203, -8802520, 0, -5591776, -8699424, 0, -145082, -313600, 0, -695916, 7359420, 0, 5138850, -2204212, 0, -1029120, 7500294, 0, -2228788, 2140080, 0, 475104, 768750, 0, -5109457, 3212896, 0, -2000400, 5207916, 0, -14039280, -5150848, 0, 6700476, -11064552, 0, -11608448, 572400, 0, -1434112, -9100431, 0, -1826475, -2817312, 0, -1185720, 12861489, 0, 1581626, 117992, 0, 6133328, -3674350, 0, -688297, -2086912, 0, 3611200, -5582283, 0, -6021502, 9322412, 0, -1740480, -3361374, 0, 13176926, -2278400, 0, -2825064, 3512124, 0, 390625, -734260, 0, 5534624, -8352582, 0, 1262639, -4105408, 0, -10826616, -6272900, 0, -578641, -11102220, 0, -409600, 15885918, 0, 1808801, 964320, 0, -12154632, -95712, 0, 3176820, -602500, 0, 1465376, -3067362, 0, -1303050, 620544, 0, 4539948, 1329609, 0, -7371880, -8573488, 0, 6802176, 2496550, 0, 6151230, -609552, 0, -6610400, 20042160, 0, 8484764, 2621384, 0, -5011392, 4358913, 0, 7400225, -2385600, 0, -12645120, 15873168, 0, -3386700, 470596, 0, 154112, -6096336, 0, -554956, 8663088, 0, 16890984, 8737150, 0, 3614184, 12068408, 0, 490000, 7747197, 0, 11416876, -2273280, 0, -9010308, 2800350, 0, -18905521, 1608000, 0, 4587264, 7006080, 0, -3343875, -2659008, 0, 7358016, 18392778, 0, 5678561, 6709380, 0, -3157120, 3125625, 0, -13425904, -755776, 0, 8048200, 897582, 0, 10847315, -6753292, 0, 1259520, -36687720, 0, 26432339, 2240800, 0, 4958016, -20312016, 0, 4402050, 7248464, 0, -13240080, 6755238, 0, -3953875, 5929728, 0, -4820964, -9583325, 0, -26216512, -19068304, 0, 3260800, -11432862, 0, 4331453, 5395536, 0, 279984, 1379484, 0, 23707634, 2719500, 0, 4168256, 12417969, 0, 3560000, 9665600, 0, -15955812, -4940112, 0, 8924400, 7335720, 0, 614656, -8647850, 0, 30655277, 6547392, 0, 6414700, -10072146, 0, 8702992, -12236140, 0, 4815680, 15186963, 0, 34536033, 640000, 0, -17231748, 44667510, 0, -1506750, -5490944, 0, 3657600, -539721, 0, 13977182, 3920784, 0, 12436440, -2289650, 0, -1226876, -956824, 0, -969600, 17813679, 0, 19100960, 7416896, 0, -1121904, -3192246, 0, 8568416, -10628400, 0, -987136, 3579891, 0, 952425, 18097440, 0, -18538464, -35675082, 0, 4498852, -8404300, 0, -19618864, 7830300, 0, 7201726, 6475776, 0, 3727500, -6890460, 0, 30635546, -7077952, 0, 8823168, 4461882, 0, 26397404, -240800, 0, -6619356, 21753036, 0, -13536075, -7361224, 0, 4465664, 35601585, 0, -15931064, 5657408, 0, -10026960, -765625, 0, -15838318, 23347352, 0, 3552000, -19742736, 0, -17289940, -5749296, 0, -4788168, 44469264, 0, 12294884, -7167600, 0, 9940112, -47206194, 0, 4154700, 802816, 0, 13702788, 28485696, 0, 37716336, -5381280, 0, -13155456, 4933000, 0, 2568866, -20762832, 0, 1180900, -11269248, 0, -58987620, 21189680, 0, -1988224, 2553978, 0, 31837841, -1968000, 0, -35509248, 3875280, 0, -3501250, -8699008, 0, 5121024, -18855816, 0, -4893238, -17398656, 0, 1515876, 20687625, 0, 11294633, 12956384, 0, -9265200, 29194104, 0, 2981520, -1465344, 0, -1336440, -10589196, 0, 19396162, -5095000, 0, 4675776, 39031716, 0, -8430525, 8730096, 0, -7539576, 6637932, 0, 3815265, 5400328, 0, 12980960, -6512900, 0, -34339522, 9406336, 0, -15102500, 18146436, 0, -17124814, 14707544, 0, -9244672, 10522314, 0, -39780180, -960400, 0, -38160612, 7913529, 0, -10230300, 29825964, 0, 7858528, 740460, 0, 40155584, 5832704, 0, -3151680, -7524500, 0, -49347823, 19129724, 0, -1000000, 6553995, 0, -8534484, 14363808, 0, 43357860, -51553248, 0, 17772701, -5715000, 0, -10922400, 22147434, 0, -6126225, 16058624, 0, 30567096, -2285016, 0, 45943406, -15774472, 0, 1048576, 1515000, 0, 15459427, 9514848, 0, -11588900, 4642125, 0, 8485214, -51421860, 0, -4391968, -53842992, 0, 40077866, 1542400, 0, -25760424, -8628018, 0, -28277250, -19117168, 0, 3335808, 25447620, 0, -42574081, -16453920, 0, 33970944, 30654475, 0, 18783317, -19693772, 0, -10118400, 48071895, 0, 11174276, -6391168, 0, -2336736, -83818875, 0, -5554072, -13786200, 0, 16922624, -28015602, 0, 376250, 19902432, 0, -5330220, -25614444, 0, 28490490, -8227108, 0, 11801984, -6977600, 0, -47535868, 6107136, 0, -8839700, -11901300, 0, -17451058, -48075712, 0, 8669952, 14504694, 0, 16949786, -5550000, 0, -40768152, -36638772, 0, 8983275, -12572812, 0, -35210080, 55179774, 0, -31718250, -22367104, 0, -34797696, -15531425, 0, 2123444, -580328, 0, -1254400, 11665512, 0, -1617319, -2783664, 0, 29437680, 2953230, 0, -31836415, 20555400, 0, -8816848, -64318395, 0, 32441925, -4116480, 0, 30001176, 98561064, 0, 4487714, -8915152, 0, 8560320, 3106600, 0, -31908992, 1900416, 0, 3075000, 76858272, 0, 29282558, -20437828, 0, 12851584, -17273916, 0, 73596256, -8001600, 0, 20831664, -8529090, 0, 27185400, -56157120, 0, -20603392, -1866753, 0, 53625665, 26801904, 0, -44258208, 14476875, 0, -76513410, -46433792, 0, 2289600, -32317500, 0, -15347388, -5736448, 0, -36401724, 29584428, 0, 12122424, -7305900, 0, -11269248, 32952201, 0, -13640775, -4742880, 0, 51445956, -49060335, 0, -58606561, 6326504, 0, 471968, -20282750, 0, -23975280, 24533312, 0, -14697400, 26530707, 0, -31585576, -2753188, 0, -8347648, -2728701, 0, 31114080, 14444800, 0, -22329132, -25821609, 0, 1500625, -24086008, 0, 37289648, 17445930, 0, 6548522, -6961920, 0, -13445496, -12278950, 0, -14949010, 52707704, 0, -9113600, -119998662, 0, 114082470, -11300256, 0, 14048496, 3010602, 0, -12176914, 1562500, 0, -2937040, -8143212, 0, -22443450, 22138496, 0, -33410328, -7848678, 0, -36397025, 5050556, 0, -16421632, 17066250, 0, -9668680, -43306464, 0, -25091600, 13807104, 0, -134719952, -2314564, 0, -44408880, -42064281, 0, -52698130, -1638400, 0, 63543672, -43797540, 0, -14866950, 7235204, 0, 3857280, -113762550, 0, -43959808, -48618528, 0, -382848, 6862450, 0, 5609384, 12707280, 0, -2410000, -88279602, 0, 89305592, 5861504, 0, -12269448, -38272413, 0, -40547745, -5212200, 0, 2482176, -13773150, 0, 25709250, 18159792, 0, 5318436, 35856894, 0, -68673508, -29487520, 0, -34293952, 15810000, 0, -102709342, 27208704, 0, 9986200, 7812735, 0, 3428992, 24604920, 0, -2438208, 16523829, 0, -27929249, -26441600, 0, 80168640, -95643177, 0, -31097550, 33939056, 0, 10485536, 32771040, 0, 12765284, -20045568, 0, 17435652, -18440600, 0, -7040520, 29600900, 0, -9542400, 71196528, 0, 115838163, -50580480, 0, 63492672, -20482494, 0, -37961553, -13546800, 0, 1882384, -121754490, 0, 8671875, 616448, 0, -24385344, 20051388, 0, -122460502, -2219824, 0, 34652352, 55015750, 0, 164022316, 67563936, 0, 34948600, -33224742, 0, 14748020, 14456736, 0, 48273632, -139258380, 0, 114409730, 1960000, 0, 30988788, -44417760, 0, 4349475, 45667504, 0, -9093120, 44782707, 0, 158469444, -36041232, 0, 11201400, 13776325, 0, -21303677, -75622084, 0, 6432000, 12007401, 0, 12531134, 18349056, 0, 28024320, 3715995, 0, -30624394, -13375500, 0, -10636032, -27523353, 0, -2969400, 29432064, 0, 73571112, 108731601, 0, -28927710, 22714244, 0, 26837520, -20080600, 0, -96743071, -12628480, 0, 12502500, -46566732, 0, -73116100, -53703616, 0, -3023104, 131936448, 0, 16909238, 32192800, 0, 3590328, 55423410, 0, -41877975, 43389260, 0, -27013168, 49538514, 0, -20740408, 5038080, 0, -146750880, -3577500, 0, -60082771, 105729356, 0, 8963200, 69075351, 0, 6073901, 19832064, 0, -81248064, 155207535, 0, -11833228, 17608200, 0, 28993856, -61752840, 0, 7410750, -52960320, 0, 27020952, -109724433, 0, 130731586, -15815500, 0, 23718912, -737450, 0, -75184740, -19283856, 0, -38333300, -83712270, 0, 106868916, -104866048, 0, -76273216, -13579248, 0, 13676096, 13043200, 0, -45731448, -41232672, 0, -22570000, 17325812, 0, 21582144, 193964730, 0, 117940592, 1119936, 0, 5517936, -58265075, 0, 126505296, 94830536, 0, 10878000, 81307920, 0, -33755107, 16673024, 0, 49671876, -17607219, 0, -2601394, 14240000, 0, 38662400, 17914857, 0, 17656650, -63823248, 0, -19760448, 82415802, 0, 30441593, 35697600, 0, 29342880, 4589125, 0, -146027224, 2458624, 0, -34591400, -30693306, 0, -35420734, 122621108, 0, 26189568, -216606792, 0, -185382235, 25658800, 0, -40288584, 2172270, 0, 67666350, 34811968, 0, -48944560, -63586173, 0, -3372404, 19262720, 0, 60747852, 69388875, 0, -162449182, 138144132, 0, 2560000, 132747114, 0, -6088936, -68926992, 0, 178670040, 84091248, 0, -148993024, -6027000, 0, -21963776, 45852318, 0, 75966450, 14630400, 0, -2158884, 92422065, 0, 44470814, 55908728, 0, 15683136, 3765625, 0, 106559540, 49745760, 0, -9158600, -53283384, 0, -19778400, -4907504, 0, -3827296, -114416895, 0, 97725510, -3878400, 0, 71254716, 144086016, 0, -28374675, 76403840, 0, 29667584, 225178275, 0, -60470756, -4487616, 0, -12768984, 53584300, 0, 165751679, 34273664, 0, -42513600, -212749815, 0, 799442, -3948544, 0, 14319564, 106340598, 0, 10034672, 3809700, 0, 72389760, 26735919, 0, 41315000, -74153856, 0, -142700328, -98992860, 0, -109980425, 17995408, 0, -33617200, -16383650, 0, 39754190, -78475456, 0, 31321200, -146075688, 0, -40286581, 28806904, 0, 25903104, 75550098, 0, 21637070, 14910000, 0, -27561840, -12561402, 0, 79032000, 122542184, 0, -28311808, 171702831, 0, -28625724, 35292672, 0, 17847528, -2941225, 0, 85210650, 105589616, 0, -963200, 48517506, 0, 234838664, -26477424, 0, 87012144, -191982270, 0, 24066742, -54144300, 0, -29444896, 10994934, 0, -105568650, 17862656, 0, 142406340, -129759126, 0, -217526356, -63724256, 0, 22629632, -75427550, 0, -190096, -40107840, 0, -3062500, 172790499, 0, 106621361, -63353272, 0, 93389408, 43989162, 0, -6692068, 14208000, 0, -78970944, 1459248, 0, 56314425, -69159760, 0, -22997184, -180596112, 0, -33449850, -19152672, 0, 177877056, -10050000, 0, -91650790, 49179536, 0, -28670400, -32647788, 0, -5791579, 39760448, 0, -188824776, 15718212, 0, 140185490, 16618800, 0, 3211264, -50830230, 0, -45987600, 54811152, 0, 113942784, 29139222, 0, -137964319, 150865344, 0, -21525120, -41933625, 0, 84226126, -52621824, 0, 19732000, -61115082, 0, -13450402, 10275464, 0, -83051328, -78900810, 0, 205552242, 4723600, 0, -45076992, -220394889, 0, -50301250, -235950480, 0, 84758720, -32603904, 0, 119153765, -7952896, 0, 10215912, 42208075, 0, 21143835, 127351364, 0, -7872000, -50390130, 0, -307788950, -142036992, 0, 15501120, -75115248, 0, -146646039, -14005000, 0, -34796032, 131799927, 0, -30987600, 20484096, 0, -75423264, 173832660, 0, -24121642, -19572952, 0, -69594624, -45302900, 0, 248332085, 6063504, 0, 82750500, 144352497, 0, 4112438, 45178532, 0, 51825536, 246663798, 0, -40291216, -37060800, 0, 116776416, 60951198, 0, 30131025, 11926080, 0, -5861376, -78421008, 0, -205693952, -5345760, 0, -42356784, 119176900, 0, 36143576, 77584648, 0, -20380000, 85165863, 0, -300500865, 18703104, 0, 156126864, 18361497, 0, 130729320, -33722100, 0, 34920384, -137238276, 0, -1749900, -30158304, 0, 26551728, -116471700, 0, -306481014, 15261060, 0, 21601312, -16996875, 0, 56147112, 51923840, 0, -26051600, 55679640, 0, -180668062, -137358088, 0, 37625344, 42435762, 0, -107830870, -60410000, 0, 72585744, 330586104, 0, 99723825, -68499256, 0, 58830176, -163923444, 0, 152133086, -36978688, 0, 42089256, -45848250, 0, -236181782, -159120720, 0, -3841600, -141708192, 0, -92383253, -152642448, 0, 31654116, -8524971, 0, 92234340, -40921200, 0, 119303856, -73253175, 0, -40091875, 31434112, 0, 2961840, -55068180, 0, -27001597, 160622336, 0, 23330816, 76475875, 0, -217124023, -12606720, 0, -30098000, 109512600, 0, -60479299, -197391292, 0, 76518896, 310817862, 0, 215271659, -4000000, 0, 26215980, -204232488, 0, 107698425, -34137936, 0, 57455232, 5820024, 0, 342404345, 173431440, 0, -206212992, 34318400, 0, 89417150, 71090804, 0, -22860000, 13944126, 0, 39357976, -43689600, 0, 88589736, 357453318, 0, -292346248, -24504900, 0, 64234496, -280962756, 0, -77727750, 122268384, 0, -9140064, 122408520, 0, -83365274, 183773624, 0, -63097888, 5980150, 0, 88161480, 4194304, 0, 6060000, 82080831, 0, 213987332, 61837708, 0, 38059392, 219138234, 0, -80416080, -46355600, 0, 18568500, -133838736, 0, 7011900, 33940856, 0, -205687440, -90920475, 0, -180153086, -17567872, 0, -215371968, 66427500, 0, 376528384, 160311464, 0, 6169600, -93018222, 0, 313780418, -103041696, 0, -34512072, 189670950, 0, 7326500, -113109000, 0, -76468672, -14525070, 0, 115865400, 13343232, 0, 101790480, 146508870, 0, -187157655, -170296324, 0, -65815680, 52526875, 0, 1445402, 135883776, 0, 122617900, -186354063, 0, -265996651, 75133268, 0, -78775088, -402490482, 0, -22072226, -40473600, 0, 192287580, -144586380, 0, -23296875, 44697104, 0, -25564672, 91819515, 0, 151781750, -9346944, 0, -335275500, 44237200, 0, -29238700, -22216288, 0, -55144800, -321299778, 0, -10700656, 67690496, 0, -112062408, 418919052, 0, 114199547, 1505000, 0, 79609728, 1804914, 0, 41370975, -21320880, 0, -102457776, 374115756, 0, -216488344, 113961960, 0, -32908432, 46007650, 0, -227112660, 47207936, 0, -27910400, 9181377, 0, 61317504, -190143472, 0, 24428544, -34607034, 0, 334882097, -35358800, 0, -47605200, 32065848, 0, 62668500, -69804232, 0, -192302848, -167043900, 0, -8994685, 34679808, 0, 58018776, -145920950, 0, 164965705, 67799144, 0, -22200000, -91591680, 0, -374405644, -163072608, 0, -146555088, 3552732, 0, 307179562, 35933100, 0, -50291248, -430925664, 0, 29926050, -140840320, 0, 220719096, -132626046, 0, -111360370, -126873000, 0, -89468416, 44797500, 0, 77713902, -139190784, 0, -62125700, 185760750, 0, -136002195, 8493776, 0, -2321312, 63797352, 0, -193071358, -5017600, 0, 46662048, 255218469, 0, -85642425, -6469276, 0, -11134656, -130487763, 0, -23918428, 117750720, 0, 11812920, 33633000, 0, 202299424, -127345660, 0, 82221600, -148894242, 0, -458425472, -35267392, 0, -257273580, -4057257, 0, -841003, 129767700, 0, -16465920, -26691342, 0, -7380625, 120004704, 0, 394244256, 15228192, 0, 59971898, 17950856, 0, -35660608, -132435500, 0, -108369475, 34241280, 0, 12426400, -320799147, 0, 98414822, -127635968, 0, 7601664, -497283972, 0, -299533012, 12300000, 0, 307433088, 55614363, 0, 221932800, 117130232, 0, -81751312, -95580498, 0, -247198549, 51406336, 0, -69095664, 54368800, 0, -105025228, 294385024, 0, -32006400, 680529345, 0, 70294500, 83326656, 0, -34116360, 40051308, 0, 201982788, 108741600, 0, -224628480, 450411390, 0, -9474225, -82413568, 0, -7467012, -80027388, 0, 126457790, 214502660, 0, 107207616, -80977400, 0, 259254140, -177032832, 0, 57907500, 337292394, 0, 47554120, -306053640, 0, -185735168, 39567651, 0, 32111954, 9158400, 0, -129270000, -521083626, 0, 8352750, -61389552, 0, -22945792, 142543470, 0, -87590476, -145606896, 0, 118337712, 31843750, 0, 508549520, 48489696, 0, -29223600, -429111729, 0, 139436933, -45076992, 0, 131808804, -154902720, 0, 43882289, -54563100, 0, -18971520, 365248398, 0, 47122350, 205783824, 0, -196241340, -191563854, 0, 5764801, -234426244, 0, 25306016, -33752050, 0, 531526284, 1887872, 0, -81131000, -114830442, 0, -511366808, -95901120, 0, 98133248, -482968122, 0, -13874976, -58789600, 0, 106122828, -385764882, 0, 94390625, -126342304, 0, -11012752, 206914554, 0, 199428705, -33390592, 0, -10914804, -91922150, 0, 84215768, 124456320, 0, 57779200, -477259020, 0, 147837998, -89316528, 0, -103286436, 26988492, 0, -365381312, 6002500, 0, -96344032, -344797635, 0, 238503825, 149158592, 0, 69783720, 163384065, 0, 169570260, 26194088, 0, -27847680, -186412275, 0, 66440468, -53781984, 0, -49115800, -110376273, 0, -511714390, -59796040, 0, 210830816, 139150779, 0, -370314608, -36454400, 0, -479994648, -81270261, 0, 19698000, 456329880, 0, -45201024, -106224636, 0, 585931248, 56193984, 0, 12042408, -119560775, 0, 720210735, -48707656, 0, 6250000, -87535488, 0, -22775434, -11748160, 0, -32572848, 108728310, 0, -62784356, -89773800, 0, 88553984, 90135696, 0, -270986625, -133641312, 0, -31394712, 68966520, 0, 446449493, -145588100, 0, 20202224, 35718750, 0, 82189905, -65686528, 0, 68265000, -462331191, 0, -262538262, -38674720, 0, -173225856, -3445848, 0, 441877376, -100366400, 0, 55228416, 116307180, 0, -191044350, -538879808, 0, -9258256, 309985965, 0, -584445250, -177635520, 0, -168257124, 98590450, 0, -46971838, -210792520, 0, -6553600, -98620092, 0, 603515880, 254174688, 0, -175190160, 571549503, 0, -82727827, -59467800, 0, 28940816, 605393664, 0, 72430625, 15429120, 0, -455050200, 205094208, 0, 358451676, -175839232, 0, -194474112, 321386625, 0, -72536180, -1531392, 0, 27449800, -329997747, 0, -461882905, 22437536, 0, 50829120, 60735696, 0, -252831420, -9640000, 0, -353118408, -276083784, 0, 161002650, 357222368, 0, 23446016, 12266922, 0, 88793684, -49077792, 0, -153089652, 119482300, 0, -134095813, -162190980, 0, -20848800, -117579186, 0, -21739424, 9928704, 0, -55092600, 90080160, 0, -302825205, 102837000, 0, 72639168, 409015206, 0, -212318400, 21273744, 0, 143427576, -59056809, 0, 712252468, -274694032, 0, -117950080, 123086075, 0, 93112544, -137175808, 0, 63240000, -450277050, 0, -233586724, -410837368, 0, 108834816, 168055878, 0, 120333644, 39944800, 0, 31250940, -158976321, 0, 14604600, 13715968, 0, 98419680, 515757774, 0, -187342777, -9752832, 0, 66095316, 86163750, 0, -591464737, -111716996, 0, -105766400, 3429804, 0, 279429860, 320674560, 0, -382572708, -30624987, 0, -405705343, -124390200, 0, 135756224, -160331313, 0, 33313875, 41942144, 0, 131084160, -468541005, 0, 450860164, 51061136, 0, -80182272, 51419425, 0, 111223820, 69742608, 0, -73762400, -260748639, 0, 180161864, -28162080, 0, 118403600, -272592690, 0, 314128028, -38169600, 0, 284786112, -195458697, 0, 55248125, 463352652, 0, -202321920, -641166468, 0, -649190749, 253970688, 0, -81929976, 300473200, 0, 89862570, -151846212, 0, -54187200, 752747454, 0, 295509139, 7529536, 0, -487017960, 160236096, 0, -376205140, 34687500, 0, 2465792, 321282072, 0, 254800950, -97541376, 0, 80205552, 408266496, 0, -498244590, -489842008, 0, -8879296, 78580075, 0, 228078818, 138609408, 0, 220063000, 136554726, 0, -132585012, 656089264, 0, 270255744, -211998393, 0, -149892715, 139794400, 0, -132898968, 180778020, 0, 217485600, 58992080, 0, 57826944, -159120660, 0, 204563402, 193094528, 0, -557033520, 3627050, 0, 501695078, 457638920, 0, 7840000, 374057625, 0, -47118916, 123955152, 0, -177671040, -211088913, 0, 221692123, 17397900, 0, 182670016, 755276025, 0, -183985500, -36372480, 0, 179130828, -622178484, 0, -67264064, 633877776, 0, -144164928, -128471250, 0, -330046290, 44805600, 0, 55105300, 358855116, 0, 270701969, -85214708, 0, -302488336, -83411358, 0, -56802627, 25728000, 0, 48029604, -587346270, 0, -187507350, 50124536, 0, 73396224, 152346390, 0, -175320796, 112097280, 0, 14863980, 55719700, 0, -307750078, -122497576, 0, -53502000, 536544168, 0, -11721094, -42544128, 0, -110093412, -836462256, 0, -781232654, -11877600, 0, 117728256, -466999092, 0, -19218750, 294284448, 0, 434926404, 503184609, 0, 39794608, -115710840, 0, 90856976, 127736425, 0, -555192244, 107350080, 0, -80322400, -13743324, 0, 570745350, -386972284, 0, -50513920, 262062354, 0, -149722937, 50010000, 0, -186266928, -543442185, 0, -130197900, -292464400, 0, -214814464, -107070813, 0, -38977920, -12092416, 0, 527745792, 350982000, 0, 282373754, 67636952, 0, 128771200, 308626680, 0, 359351494, 14361312, 0, 221693640, 742626834, 0, 285807150, -167511900, 0, 173557040, -227096184, 0, 276613800, -108052672, 0, 198154056, -489294636, 0, 807291513, -82961632, 0, 20152320, 290211200, 0, -102952675, -587003520, 0, -14310000, 312740157, 0, 540084107, -240331084, 0, 422917424, 98649459, 0, -690365610, 35852800, 0, 276301404, 107734404, 0, 227510775, 24295604, 0, 79328256, -231609906, 0, -751534612, -324992256, 0, 620830140, 45661875, 0, 29947624, -47332912, 0, 70432800, -409381320, 0, -704972732, 115975424, 0, -247011360, 579560889, 0, -86704912, 29643000, 0, -211841280, -195088368, 0, -321537225, 108083808, 0, -438897732, 11857344, 0]}