# Stored data for newform 1100.6.a.c, downloaded from the LMFDB on 14 December 2024.
{"Nk2": 39600, "analytic_conductor": 176.4222017942787, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, 1], [11, 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": [1100, 1, [551, 177, 101], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 1761, "field_disc_factorization": [[3, 1], [587, 1]], "field_poly": [-440, -1, 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": [[3, [-350, -19, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199355405388, "hecke_ring_generator_nbound": 3, "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": "1100.6.a.c", "level": 1100, "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, 5, 11], "level_radical": 110, "minimal_twist": "220.6.a.a", "nf_label": "2.2.1761.1", "prim_orbit_index": 1, "qexp_display": "q+(10-\\beta )q^{3}+(68-5\\beta )q^{7}+(297-19\\beta )q^{9}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1100.6.a", "trace_display": [0, 19, 0, 131], "trace_hash": 469353311842378770, "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "1.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.142", "prec": 17}, {"__RealLiteral__": 0, "data": "9.543", "prec": 17}, {"__RealLiteral__": 0, "data": "0.645", "prec": 17}, {"__RealLiteral__": 0, "data": "64.408", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 2, 0, 19, 0, 0, 0, 131, 0, 575, 0, -242, 0, 1610, 0, 0, 0, 321, 0, 3439, 0, 5647, 0, -4536, 0, 0, 0, 17575, 0, -5031, 0, -4463, 0, -2299, 0, 0, 0, 2423, 0, -554, 0, 19668, 0, 14900, 0, 0, 0, 23052, 0, -3021, 0, -82359, 0, 7203, 0, 0, 0, 26507, 0, 50838, 0, -44177, 0, 121310, 0, 0, 0, 10610, 0, -124098, 0, -1089, 0, 92654, 0, 0, 0, -15851, 0, -16334, 0, 225350, 0, -88410, 0, 0, 0, 74595, 0, -80817, 0, 26210, 0, -141895, 0, 0, 0, -102694, 0, -69575, 0, -165996, 0, 261890, 0, 0, 0, 125136, 0, -162080, 0, 323269, 0, -141822, 0, 0, 0, 161744, 0, -406017, 0, 29282, 0, 405210, 0, 0, 0, -77872, 0, 405700, 0, 306555, 0, 194437, 0, 0, 0, -288282, 0, 442312, 0, 845910, 0, -194810, 0, 0, 0, 548028, 0, -395517, 0, -4550, 0, -1530474, 0, 0, 0, -151741, 0, 456729, 0, -702138, 0, 844847, 0, 0, 0, -1107177, 0, 838746, 0, 871606, 0, 253374, 0, 0, 0, 977802, 0, -107292, 0, 938512, 0, 91889, 0, 0, 0, -38841, 0, 2141725, 0, 23484, 0, 1359221, 0, 0, 0, 331992, 0, -682757, 0, -94676, 0, 282417, 0, 0, 0, -2843214, 0, -416119, 0, -497645, 0, 800595, 0, 0, 0, -789809, 0, 656566, 0, 1795758, 0, -541492, 0, 0, 0, 95622, 0, -394124, 0, -683287, 0, 307341, 0, 0, 0, -2636422, 0, -1631754, 0, 1294240, 0, 3424294, 0, 0, 0, 2879338, 0, -3056994, 0, 996774, 0, 548856, 0, 0, 0, 490140, 0, 1659959, 0, 878988, 0, 2278389, 0, 0, 0, -1207131, 0, -217266, 0, -762656, 0, 2754898, 0, 0, 0, -2082772, 0, -3173546, 0, -2120400, 0, 528854, 0, 0, 0, 2380074, 0, 5496431, 0, -1079492, 0, 3780894, 0, 0, 0, -2126575, 0, -2193372, 0, 2296700, 0, -3119598, 0, 0, 0, 2460626, 0, 1419028, 0, -3415395, 0, -236884, 0, 0, 0, 494877, 0, 608751, 0, -2255724, 0, 1149819, 0, 0, 0, -4290442, 0, 4644486, 0, -365072, 0, 6401372, 0, 0, 0, 1371215, 0, -4008180, 0, 540023, 0, 484045, 0, 0, 0, 3720222, 0, -3185420, 0, 10581850, 0, -2125416, 0, 0, 0, -8744817, 0, -3888672, 0, 1004307, 0, 278179, 0, 0, 0, -6494098, 0, 9803466, 0, 2413299, 0, 3368162, 0, 0, 0, -6252966, 0, -2543582, 0, 9488104, 0, 2038560, 0, 0, 0, 9302600, 0, -1477704, 0, 7129554, 0, 3120951, 0, 0, 0, 9493604, 0, 9013541, 0, 6214737, 0, -1801778, 0, 0, 0, -293183, 0, -2562686, 0, -4811376, 0, 5804094, 0, 0, 0, -2433484, 0, 7529724, 0, 7940482, 0, 18538854, 0, 0, 0, -335741, 0, 67034, 0, -4476744, 0, -5282818, 0, 0, 0, -7232610, 0, 4649776, 0, 10089285, 0, -59202, 0, 0, 0, 2477409, 0, -11748, 0, -2379828, 0, 2624690, 0, 0, 0, -3520057, 0, -16396125, 0, -630729, 0, -1816744, 0, 0, 0, -5531613, 0, -282400, 0, 10787725, 0, -1802900, 0, 0, 0, 9448572, 0, 925692, 0, -3453994, 0, -21961074, 0, 0, 0, -17296546, 0, 5550961, 0, -1121769, 0, -12679257, 0, 0, 0, 3983373, 0, -8873108, 0, -8537937, 0, 11314548, 0, 0, 0, -17548803, 0, -16387026, 0, 4950602, 0, 28833425, 0, 0, 0, -2789292, 0, 24569238, 0, -14175876, 0, 702896, 0, 0, 0, 8934849, 0, 4867514, 0, 24017904, 0, 11902188, 0, 0, 0, -26240316, 0, 365541, 0, 7951945, 0, 3199658, 0, 0, 0, 12614348, 0, -2981048, 0, -9507531, 0, -13476122, 0, 0, 0, 13448094, 0, 7239800, 0, 9965439, 0, 487926, 0, 0, 0, 42531395, 0, -3577770, 0, 22146385, 0, -1365324, 0, 0, 0, 7584320, 0, 3694645, 0, -16876350, 0, -871563, 0, 0, 0, 16230765, 0, -6977653, 0, -1614864, 0, -20870682, 0, 0, 0, 13692227, 0, -7420011, 0, -10164500, 0, -663574, 0, 0, 0, 5627525, 0, -375015, 0, 7272372, 0, 13818122, 0, 0, 0, 6617814, 0, -13097240, 0, -58086450, 0, -7490361, 0, 0, 0, -3207347, 0, -28735407, 0, 9206815, 0, 7251575, 0, 0, 0, -12813000, 0, 15094782, 0, 13415049, 0, -22053937, 0, 0, 0, 2652828, 0, -6151398, 0, -23844385, 0, 24067281, 0, 0, 0, 22388732, 0, -2264787, 0, -16555508, 0, -54237906, 0, 0, 0, 150474, 0, -17583878, 0, 5345417, 0, 27060725, 0, 0, 0, -9955812, 0, -7245952, 0, -18890514, 0, -3209715, 0, 0, 0, -35801422, 0, -1190994, 0, 10547362, 0, -14678510, 0, 0, 0, -18024594, 0, -1127919, 0, -23854065, 0, 2064595, 0, 0, 0, -18585918, 0, 10670464, 0, -51839756, 0, 19275762, 0, 0, 0, 4709334, 0, -8059647, 0, 11809160, 0, 15010742, 0, 0, 0, -3275584, 0, 81604586, 0, -23231100, 0, -5579992, 0, 0, 0, -1283810, 0, 5533708, 0, -4860262, 0, -16023729, 0, 0, 0, -67542756, 0, -9026172, 0, 8210881, 0, -43464546, 0, 0, 0, -35264788, 0, 15015858, 0, 6829164, 0, -24369650, 0, 0, 0, 32017452, 0, 7065664, 0, -7684758, 0, 10085079, 0, 0, 0, 40769647, 0, 32290578, 0, 131769, 0, -16672275, 0, 0, 0, 4603964, 0, -23018667, 0, -22593696, 0, -44770754, 0, 0, 0, 29939208, 0, -57111006, 0, -31582908, 0, -11211134, 0, 0, 0, 24074496, 0, -33125136, 0, -666923, 0, -41986240, 0, 0, 0, 23771500, 0, 55147532, 0, -21572796, 0, -47478370, 0, 0, 0, 5047992, 0, -19466438, 0, 4047040, 0, -56427438, 0, 0, 0, -61605325, 0, 14209848, 0, -11354677, 0, -29515842, 0, 0, 0, 1917971, 0, -44190554, 0, -33118410, 0, -10750726, 0, 0, 0, 831753, 0, 60088570, 0, 80207730, 0, 10394832, 0, 0, 0, 24799966, 0, 1976414, 0, 12059528, 0, -31498606, 0, 0, 0, 21250334, 0, 74232570, 0, 33288960, 0, 33530969, 0, 0, 0, 10296912, 0, 46038824, 0, -27267350, 0, 35249502, 0, 0, 0, -50101332, 0, -2603337, 0, -36509067, 0, 71919100, 0, 0, 0, 70194731, 0, -77033934, 0, 28727127, 0, 10697610, 0, 0, 0, 21122745, 0, -1377464, 0, 85199374, 0, -15473574, 0, 0, 0, 54983762, 0, -32692935, 0, -9231702, 0, -23068047, 0, 0, 0, -17669206, 0, -50515886, 0, -37603671, 0, -64696512, 0, 0, 0, 32174325, 0, 78612116, 0, -71001417, 0, 9618075, 0, 0, 0, -9025995, 0, -29245956, 0, -36056013, 0, -29469204, 0, 0, 0, -15668863, 0, -136925877, 0, 12604920, 0, -4205804, 0, 0, 0, -4745646, 0, 9778857, 0, -98860958, 0, -27517776, 0, 0, 0, 135928830, 0, -58095000, 0, -46322552, 0, -77718988, 0, 0, 0, -12029512, 0, 88848475, 0, -3171410, 0, -39840078, 0, 0, 0, 9667455, 0, -14233304, 0, 139720807, 0, -39672657, 0, 0, 0, -91330374, 0, -32266041, 0, 7876732, 0, 17169295, 0, 0, 0, 31513612, 0, -38268715, 0, -40034790, 0, 22950089, 0, 0, 0, -56712747, 0, 44182684, 0, 105241482, 0, 5267739, 0, 0, 0, -65875954, 0, 43851669, 0, -38867096, 0, 81431258, 0, 0, 0, 13041550, 0, -75581946, 0, 74796270, 0, 57739169, 0, 0, 0, 12425974, 0, -67566689, 0, -209595342, 0, 35639763, 0, 0, 0, -74557344, 0, -31262268, 0, -109958208, 0, -11655360, 0, 0, 0, 92193116, 0, 8418575, 0, -71472573, 0, 105587729, 0, 0, 0, 29801985, 0, 51207287, 0, -91865144, 0, -57708888, 0, 0, 0, 221964450, 0, -54979104, 0, 20085516, 0, 64215627, 0, 0, 0, 16211324, 0, 85938730, 0, 83952054, 0, -28595446, 0, 0, 0, -46207302, 0, 36431848, 0, 78988530, 0, -31688690, 0, 0, 0, -75805354, 0, 20663592, 0, 42962051, 0, 171941672, 0, 0, 0, -39335231, 0, -44420622, 0, 105232908, 0, -19720270, 0, 0, 0, -57149034, 0, -79543345, 0, 190367500, 0, 22499940, 0, 0, 0, 122738682, 0, -62618871, 0, -13224710, 0, 248435778, 0, 0, 0, -15141456, 0, 92099454, 0, -2403090, 0, -72646587, 0, 0, 0, -16808112, 0, -19122258, 0, 77524126, 0, -17891436, 0, 0, 0, 192062038, 0, 19611680, 0, 7135822, 0, -8502273, 0, 0, 0, -78836013, 0, -61844530, 0, 127406922, 0, 4006868, 0, 0, 0, -178496850, 0, -52060050, 0, -39115549, 0, 21789957, 0, 0, 0, -28175692, 0, -9824391, 0, 1057282, 0, -122262318, 0, 0, 0, 10615421, 0, 199458126, 0, 36564726, 0, 17160462, 0, 0, 0, -764100, 0, 4395010, 0, 1091188, 0, -133132836, 0, 0, 0, -58059612, 0, -11483544, 0, -80798488, 0, -36105400, 0, 0, 0, 32891506, 0, 343625550, 0, -68564274, 0, 19612192, 0, 0, 0, -115537989, 0, -26425952, 0, -66926293, 0, 28153596, 0, 0, 0, -19571024, 0, 188042472, 0, 131134504, 0, -92576688, 0, 0, 0, 50763047, 0, -121833056, 0, 40946058, 0, -29718982, 0, 0, 0, -95147595, 0, 49128057, 0, -194020794, 0, -105859332, 0, 0, 0, 5360432, 0, -112735188, 0, 124351777, 0, 103216650, 0, 0, 0, 92165225, 0, 129052464, 0, -3543122, 0, -63098300, 0, 0, 0, -6403908, 0, 230062136, 0, 4750452, 0, 238059546, 0, 0, 0, -141435378, 0, -7549119, 0, 42939203, 0, -49030410, 0, 0, 0, -160825956, 0, 49382260, 0, 24152520, 0, 29154018, 0, 0, 0, -90119466, 0, -33367029, 0, 60118747, 0, -37773675, 0, 0, 0, -502588143, 0, -2098464, 0, -115031756, 0, 187680213, 0, 0, 0, 160884082, 0, -333066242, 0, 162735768, 0, 56171509, 0, 0, 0, 9422512, 0, 114195382, 0, -9059787, 0, 53128950, 0, 0, 0, 7869112, 0, 142955655, 0, 200868798, 0, 188730488, 0, 0, 0, -80962124, 0, -49089700, 0, 87764448, 0, -125422042, 0, 0, 0, 66686364, 0, -30974549, 0, 150663975, 0, -2402064, 0, 0, 0, -79787748, 0, -76387377, 0, -37093155, 0, 189687646, 0, 0, 0, 62921408, 0, -492389172, 0, -110566464, 0, 5607224, 0, 0, 0, -122282046, 0, -148260827, 0, -112665296, 0, -23526877, 0, 0, 0, 195866888, 0, -66271032, 0, 173666458, 0, 362633811, 0, 0, 0, 27300265, 0, 114035655, 0, 53318988, 0, 175232450, 0, 0, 0, 63630273, 0, -302374187, 0, 88561485, 0, -15712794, 0, 0, 0, -201453856, 0, 211059252, 0, -10717570, 0, -280688742, 0, 0, 0, 34882122, 0, -92149320, 0, -62064339, 0, 29647713, 0, 0, 0, 98289906, 0, -58428846, 0, -243681435, 0, -77603859, 0, 0, 0, -161060124, 0, -53519752, 0, 272256064, 0, 236336458, 0, 0, 0, 35854623, 0, 348609967, 0, -6080148, 0, 286352402, 0, 0, 0, -238865886, 0, -20938064, 0, -102355110, 0, 192795462, 0, 0, 0, 493926540, 0, 296188650, 0, -97666246, 0, -126316638, 0, 0, 0, -26418838, 0, 262156348, 0, 41406714, 0, 23572010, 0, 0, 0, -136501302, 0, -13631189, 0, 259500945, 0, 104173677, 0, 0, 0, 413684599, 0, -92731374, 0, 108126500, 0, 558078150, 0, 0, 0, 126389774, 0, 132994740, 0, 201888810, 0, -186101342, 0, 0, 0, 149415480, 0, 70662721, 0, -510046248, 0, -351710028, 0, 0, 0, -66311388, 0, 102217707, 0, -67060766, 0, -5473969, 0, 0, 0, 97896290, 0, 161214286, 0, -107457, 0, -72136674, 0, 0, 0, -170942484, 0, 47857557, 0, 168513868, 0, -59951451, 0, 0, 0, -273102025, 0, -6404184, 0, -246788944, 0, 135631485, 0, 0, 0, 15276587, 0, -326500186, 0, 550550, 0, -203591152, 0, 0, 0, 11339196, 0, -169878341, 0, 19506462, 0, -5824902, 0, 0, 0, 163343800, 0, -189563748, 0, 15856982, 0, 185187354, 0, 0, 0, 98350030, 0, -407127006, 0, -135889245, 0, 218173130, 0, 0, 0, 97235346, 0, 4836832, 0, 743460472, 0, 243020562, 0, 0, 0, -148216080, 0, 9501846, 0, -59100090, 0, 223921301, 0, 0, 0, 122993334, 0, -23428368, 0, -14280333, 0, -67567492, 0, 0, 0, 18360661, 0, 27526774, 0, 214906882, 0, 43562898, 0, 0, 0, 215634902, 0, 241705854, 0, -174370928, 0, -500157822, 0, 0, 0, -194120503, 0, -55264209, 0, 145719264, 0, -170036122, 0, 0, 0, -199380798, 0, 238683742, 0, 14431383, 0, 212035800, 0, 0, 0, -223618085, 0, 182235543, 0, 84958698, 0, 4840728, 0, 0, 0, 88476557, 0, -288693546, 0, -194758464, 0, -137649664, 0, 0, 0, 48966450, 0, 55529800, 0, 187097314, 0, -102226487, 0, 0, 0, -220581015, 0, -29601270, 0, 22943284, 0, 58940594, 0, 0, 0, 475499224, 0, 49254400, 0, -72598191, 0, 193004136, 0, 0, 0, 265320420, 0, 354202380, 0, -458035931, 0, -354741369, 0, 0, 0, 23093334, 0, -169362030, 0, -84913724, 0, 391079340, 0, 0, 0, 133968417, 0, -89199758, 0, -74082333, 0, -175855040, 0, 0, 0, -13926756, 0, -103766886, 0, 318381528, 0, 240802314, 0, 0, 0, -279976432, 0, -101488266, 0, 267264643, 0, -1022079648, 0, 0, 0, 330833036, 0, -277835553, 0, -136538967, 0, -67135420, 0, 0, 0, -155101794, 0, -69134261, 0, -105464326, 0, 116461692, 0, 0, 0, -328268559, 0, 243317688, 0, 40773509, 0, -292522957, 0, 0, 0, -223659008, 0, 84531910, 0, -221034942, 0, -30658254, 0, 0, 0, 65529882, 0, 404486988, 0, 366482052, 0, -148762167, 0, 0, 0, 172892025, 0, -274631670, 0, 235342056, 0, -210800229, 0, 0, 0, 382168536, 0, -74798543, 0, 221618493, 0, -28572970, 0, 0, 0, -430617954, 0, -17254696, 0, -275661462, 0, -53859924, 0, 0, 0, -118314042, 0, 71781108, 0, -92563892, 0, -537552878, 0, 0, 0, 457802344, 0, 139204143, 0, 141136905, 0, -51685220, 0, 0, 0, -185746410, 0, 12982332, 0, 763876450, 0, -137827299, 0, 0, 0, -656015223, 0, -452623272, 0, -211433398, 0, 230290598, 0, 0, 0, -83345254, 0, -838374108, 0, -113559952, 0, 180732743, 0, 0, 0, -159686352, 0, 94846408, 0, -72379290, 0, -67084230, 0, 0, 0, -392033326, 0, 113319906, 0, -123141194, 0, -11118569, 0, 0, 0, 404997230, 0, 350644981, 0, 359812200, 0, 222935588, 0, 0, 0, -157329450, 0, 231742126, 0, -687505392, 0, 239282964, 0, 0, 0, -301697096, 0, 94710705, 0, -342278266, 0, -348688212, 0, 0, 0, 223714950, 0, -251787477, 0, 439218942, 0, -67954936, 0, 0, 0, 4699761, 0, 115460109, 0, -722398286, 0, -258323832, 0, 0, 0, 244187286, 0, 161061060, 0, -259441786, 0, 625694666, 0, 0, 0, -1587992, 0, -259148725, 0, -264211074, 0, -344471893, 0, 0, 0, 316313655, 0, 167255152, 0, -976093410, 0, -289987356, 0, 0, 0, 11455026, 0, 183735462, 0, -2841564, 0, -25517103, 0, 0, 0, 150511800, 0, 528427307, 0, -207261060, 0, -231767968, 0, 0, 0, -264158070, 0, 724653374, 0, -643007574, 0, -164465741, 0, 0, 0, -57131158, 0, -205015146, 0, -168083579, 0, -701816050, 0, 0, 0, 171230396, 0, 589542690, 0, 580469040, 0, -453089740, 0, 0, 0, -225236832, 0, 470288138, 0, -85120332, 0, 261255555, 0, 0, 0, 182672805, 0, -1004603592, 0, 42454525, 0, 618657664, 0, 0, 0, -40171032, 0, 423687778, 0, -926921886, 0, 167132826, 0, 0, 0, -176817345, 0, -452434202, 0, -266264378, 0, 230331018, 0, 0, 0, 1087437925, 0, 82613597, 0, -256843342, 0, -814592700, 0, 0, 0, 536712820, 0, -316842944, 0, -89206173, 0, 180933230, 0, 0, 0, 124336839, 0, 253371530, 0, 11455796, 0, -171105792, 0, 0, 0, 813036944, 0, -346099299, 0, 188620573, 0, 215744188, 0, 0, 0, 28960263, 0, 350773407, 0, 242468700, 0, -34172457, 0, 0, 0, -139297032, 0, -72983636, 0, -1275750150, 0, -198427578, 0, 0, 0, -35908812, 0, -194953260, 0, -55266401, 0, -546596035, 0, 0, 0, 120925105, 0, -719171556, 0, -663932643, 0, -181485290, 0, 0, 0, 675307215, 0, -62811164, 0, -34934042, 0, 196177245, 0, 0, 0, 344028894, 0, 170152500, 0, 417438607, 0, -893747946, 0, 0, 0, -594003601, 0, -768459946, 0, -303805434, 0, -408227224, 0, 0, 0, 322489080, 0, 50350399, 0, 299647068, 0, 375809934, 0, 0, 0, -591845914, 0, -716467479, 0, -196649261, 0, -93565422, 0, 0, 0, -395166236, 0, -7198803, 0, 60215045, 0, 518401440, 0, 0, 0, 367608696, 0, 154782348, 0, 952238906, 0, 184421187, 0, 0, 0, 621625530, 0, -803894199, 0, 471012394, 0, -96871995, 0, 0, 0, 135435377, 0, 205165041, 0, -279129276, 0, 858393868, 0, 0, 0, -576117687, 0, 723285905, 0, 763799992, 0, 714629532, 0, 0, 0, -193567050, 0, -495625236, 0, 29106139, 0, -701112840, 0, 0, 0, 564521132, 0, 336572726, 0, -546716166, 0, 369731441, 0, 0, 0, 95566889, 0, -69710009, 0, -301148766, 0, -250898577, 0, 0, 0, -1426352910, 0, 7825149, 0, -131856818, 0, -809037525, 0, 0, 0, -85781406, 0, -79444486, 0, -141923283, 0, -205496120, 0, 0, 0, -854247222, 0, 622661460, 0, 434167962, 0, 462762030, 0, 0, 0, -182391906, 0, 593171406, 0, -217286718, 0, 231725897, 0, 0, 0, 11575922, 0, -879342752, 0, 91204518, 0, -386717330, 0, 0, 0, 606172638, 0, 316830458, 0, 634117100, 0, 65520532, 0, 0, 0, 794148550, 0, -36200859, 0, 33087024, 0, 654341910, 0, 0, 0, -346506013, 0, -844263488, 0, -416167218, 0, -872975926, 0, 0, 0, -831649590, 0, -53801596, 0, -1162978116, 0, 47496216, 0, 0, 0, -666626296, 0, 525660573, 0, 359491734, 0, -145962844, 0, 0, 0, -11570262, 0, -314486358, 0, -307567134, 0, -414821509, 0, 0, 0, 620660184, 0, 1260096086, 0, -1130492447, 0, -442782816, 0, 0, 0, -844143576, 0, 47689004, 0, 20119138, 0, -723611006, 0, 0, 0, -40199274, 0, -787683798, 0, -520642896, 0, -668258067, 0, 0, 0, 527195400, 0, 383326672, 0, 82677727, 0, 731956200, 0, 0, 0, -783033148, 0, 729539691, 0, 379235602, 0, -1093731798, 0, 0, 0, 308459996, 0, -414119462, 0, 353091744, 0, -37188261, 0, 0, 0, -259518030, 0, -576219484, 0, 1243059129, 0, 447819102, 0, 0, 0, 92897210, 0, -575365236, 0, 142222803, 0, 1778614788, 0, 0, 0, -912830918, 0, -1134875382, 0, 14508078, 0, 568551101, 0, 0, 0, 243456696, 0, 566452428, 0, 1059317471, 0, -481192020, 0, 0, 0, 319007062, 0, 510233934, 0, 490320566, 0, -126867584, 0, 0, 0, 914269079, 0, -925800800, 0, -296558454, 0, -175647500, 0, 0, 0, 275211387, 0, 197442234, 0, 942880558, 0, -954243768, 0, 0, 0, 1814974488, 0, 282389262, 0, 807003620, 0, 465827982, 0, 0, 0, 755338604, 0, 1100860531, 0, -156603040, 0, -424811246, 0, 0, 0, -403447809, 0, 203848180, 0, 71645160, 0, 313129914, 0, 0, 0, 935879752, 0, -1210593087, 0, 262117636, 0, -414339574, 0, 0, 0, -53333047, 0, 1341811830, 0, -185409030, 0, -533983492, 0, 0, 0, -221403708, 0, 884005879, 0, -1186616112, 0, 44321553, 0, 0, 0, -47560425, 0, 43122492, 0, 35986694, 0, -592112619, 0, 0, 0, -14841550, 0, 1612209800, 0, 741576924, 0, -170974018, 0, 0, 0, -348399898, 0, -751772654, 0, 724745461, 0, 587094738, 0, 0, 0, -1805782950, 0, 13361961, 0, 371154706, 0, 920456463, 0, 0, 0, 1370510862, 0, 369896274, 0, -86299089, 0, -616229870, 0, 0, 0, 55861932, 0, 577507321, 0, 889138713, 0, 704182476, 0, 0, 0, -1400521456, 0, 229991889, 0, -120609654, 0, 1882075088, 0, 0, 0, 689924408, 0, 514437930, 0, 375681237, 0, 938285580, 0, 0, 0, -73394406, 0, 558505502, 0, 2060849800, 0, -66411576, 0, 0, 0, 999054327, 0, -112611024, 0, -411936566, 0, 913291734, 0, 0, 0, 299044829, 0, -803740158, 0, 687751656, 0, 43268885, 0, 0, 0, 69353901, 0, -639208861, 0, -778433138, 0, 243884796, 0, 0, 0, -985148422, 0, 801120966, 0, -341654654, 0, 809479575, 0, 0, 0, -59306940, 0, -1906479420, 0, -723735225, 0, -636429538, 0, 0, 0, 88247172, 0, -369785625, 0, 1649720847, 0, -53552850, 0, 0, 0, -167457356, 0, -200855039, 0, -35387072, 0, -1296075084, 0, 0, 0, 485102750, 0, 195930207, 0, 285508350, 0, -187006808, 0, 0, 0, -144945906, 0, -26499130, 0, -106357548, 0, 2609757063, 0, 0, 0, -1048178988, 0, -484258308, 0, 20403200, 0, 101520756, 0, 0, 0, 295739510, 0, 324616500, 0, 247330056, 0, -275685069, 0, 0, 0, 505232232, 0, -211986388, 0, -1964854631, 0, -229830153, 0, 0, 0, -2478561030, 0, -692467614, 0, 190404018, 0, 2235764340, 0, 0, 0, -47886784, 0, 499062308, 0, -764352000, 0, -865894550, 0, 0, 0, 400356786, 0, 203136534, 0, -790097580, 0, -154763028, 0, 0, 0, 146062851, 0, -424281249, 0, -2109065418, 0, -2043181450, 0, 0, 0, -37598324, 0, 767290410, 0, 433356324, 0, -47209348, 0, 0, 0, -6930087, 0, 26289186, 0, 3079607772, 0, 1404322485, 0, 0, 0, -1754489400, 0, 361138998, 0, -473377304, 0, -1281012184, 0, 0, 0, 259760572, 0, -1515723476, 0, 92281376, 0, -346523501, 0, 0, 0, -807365148, 0, 401808036, 0, 162274120, 0, 855694980, 0, 0, 0, 2166991679, 0, -562600722, 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, 0], [1, 0], [0, 0], [10, -1], [0, 0], [0, 0], [0, 0], [68, -5], [0, 0], [297, -19], [0, 0], [-121, 0], [0, 0], [796, 18], [0, 0], [0, 0], [0, 0], [112, 97], [0, 0], [1716, 7], [0, 0], [2880, -113], [0, 0], [-2314, 92], [0, 0], [0, 0], [0, 0], [8900, -225], [0, 0], [-2446, -139], [0, 0], [-2288, 113], [0, 0], [-1210, 121], [0, 0], [0, 0], [0, 0], [1382, -341], [0, 0], [40, -634], [0, 0], [9958, -248], [0, 0], [7600, -300], [0, 0], [0, 0], [0, 0], [11882, -712], [0, 0], [-1183, -655], [0, 0], [-41560, 761], [0, 0], [3822, -441], [0, 0], [0, 0], [0, 0], [14080, -1653], [0, 0], [25700, -562], [0, 0], [-21798, -581], [0, 0], [61996, -2682], [0, 0], [0, 0], [0, 0], [5194, 222], [0, 0], [-63620, 3142], [0, 0], [-84, -921], [0, 0], [46200, 254], [0, 0], [0, 0], [0, 0], [-8228, 605], [0, 0], [-9576, 2818], [0, 0], [115829, -6308], [0, 0], [-45464, 2518], [0, 0], [0, 0], [0, 0], [36700, 1195], [0, 0], [-40658, 499], [0, 0], [14528, -2846], [0, 0], [-72600, 3305], [0, 0], [0, 0], [0, 0], [-51406, 118], [0, 0], [-35937, 2299], [0, 0]]}