# Stored data for newform 1008.6.a.bd, downloaded from the LMFDB on 11 November 2025.
{"Nk2": 36288, "analytic_conductor": 161.66689037148447, "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": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1008, 1, [127, 757, 785, 577], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 345, "field_disc_factorization": [[3, 1], [5, 1], [23, 1]], "field_poly": [-86, -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": [[5, [-1424, 82, 1]], [11, [16480, -340, 1]]], "hecke_orbit": 30, "hecke_orbit_code": 130604389294408688, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 6, "hecke_ring_index_factorization": [[2, 1], [3, 1]], "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": "1008.6.a.bd", "level": 1008, "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": "56.6.a.e", "nf_label": "2.2.345.1", "prim_orbit_index": 1, "qexp_display": "q+(-41-\\beta )q^{5}+7^{2}q^{7}+(170+2\\beta )q^{11}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1008.6.a", "trace_display": [0, 0, -82, 98], "trace_hash": 197697958404883351, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.907", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.380", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "66.820", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 2, 0, 0, 0, -82, 0, 98, 0, 0, 0, 340, 0, 910, 0, 0, 0, -3216, 0, 674, 0, 0, 0, -1104, 0, 3322, 0, 0, 0, -8064, 0, 6212, 0, 0, 0, -4018, 0, -8512, 0, 0, 0, 1304, 0, 10004, 0, 0, 0, -12748, 0, 4802, 0, 0, 0, 11220, 0, -26360, 0, 0, 0, -12018, 0, 102738, 0, 0, 0, 43420, 0, -24136, 0, 0, 0, 89720, 0, -55588, 0, 0, 0, 16660, 0, -48824, 0, 0, 0, 35782, 0, 144276, 0, 0, 0, 18300, 0, 44590, 0, 0, 0, -120784, 0, -69984, 0, 0, 0, 237326, 0, -252196, 0, 0, 0, -300864, 0, 72760, 0, 0, 0, -65512, 0, -103776, 0, 0, 0, -157584, 0, -239462, 0, 0, 0, -389172, 0, -177896, 0, 0, 0, 298318, 0, 33026, 0, 0, 0, 335796, 0, -362546, 0, 0, 0, -6760, 0, 566604, 0, 0, 0, -521556, 0, 67128, 0, 0, 0, -689392, 0, 269310, 0, 0, 0, -54096, 0, -662412, 0, 0, 0, -383956, 0, 720954, 0, 0, 0, -407766, 0, 162778, 0, 0, 0, -1047728, 0, 318446, 0, 0, 0, 1156292, 0, -571560, 0, 0, 0, 353224, 0, -106816, 0, 0, 0, -365844, 0, -1741212, 0, 0, 0, -395136, 0, -1456924, 0, 0, 0, 300880, 0, 273480, 0, 0, 0, -2062024, 0, 304388, 0, 0, 0, -1301820, 0, 335688, 0, 0, 0, 320318, 0, -1283242, 0, 0, 0, -811972, 0, -955312, 0, 0, 0, 486448, 0, 121616, 0, 0, 0, -196882, 0, -904280, 0, 0, 0, -587118, 0, 110400, 0, 0, 0, 1099724, 0, -417088, 0, 0, 0, 3960, 0, 1129740, 0, 0, 0, 498058, 0, 133296, 0, 0, 0, 1583180, 0, 73964, 0, 0, 0, -2861268, 0, -1637870, 0, 0, 0, 63896, 0, 2356454, 0, 0, 0, -2380026, 0, 5156448, 0, 0, 0, -2439840, 0, 490196, 0, 0, 0, -4367508, 0, 4550194, 0, 0, 0, 157312, 0, -3143992, 0, 0, 0, -576132, 0, -1842840, 0, 0, 0, -1270092, 0, -5108350, 0, 0, 0, -624652, 0, 3690164, 0, 0, 0, -3034504, 0, -1901072, 0, 0, 0, 1925440, 0, 235298, 0, 0, 0, -5320068, 0, -2842794, 0, 0, 0, -3698180, 0, -76720, 0, 0, 0, 309480, 0, -3327810, 0, 0, 0, -1273012, 0, -1343336, 0, 0, 0, 549780, 0, -1997548, 0, 0, 0, -601380, 0, -5405380, 0, 0, 0, 1509684, 0, -1291640, 0, 0, 0, -5264720, 0, 1477152, 0, 0, 0, -2047136, 0, -6801706, 0, 0, 0, -782880, 0, -2824640, 0, 0, 0, -3061640, 0, 4751072, 0, 0, 0, -588882, 0, -8602352, 0, 0, 0, 10690882, 0, -4000516, 0, 0, 0, -6360216, 0, 5034162, 0, 0, 0, 2717120, 0, 784568, 0, 0, 0, 1863552, 0, -4938768, 0, 0, 0, -8521848, 0, -10537260, 0, 0, 0, 2171788, 0, 3028600, 0, 0, 0, 2127580, 0, -8649616, 0, 0, 0, -2484990, 0, 4781312, 0, 0, 0, 5867702, 0, -1182664, 0, 0, 0, 5004400, 0, 8757814, 0, 0, 0, -1696932, 0, 6621940, 0, 0, 0, 1913004, 0, 11542736, 0, 0, 0, 2439768, 0, 13438872, 0, 0, 0, 4396280, 0, 1391672, 0, 0, 0, -5512504, 0, -4656796, 0, 0, 0, -14246102, 0, -2723812, 0, 0, 0, 6055136, 0, 788800, 0, 0, 0, -2549784, 0, -4351622, 0, 0, 0, -10858296, 0, -8686318, 0, 0, 0, -17651660, 0, 8435544, 0, 0, 0, 816340, 0, 16251604, 0, 0, 0, 14144020, 0, -13200804, 0, 0, 0, -6257268, 0, -2392376, 0, 0, 0, 7751372, 0, -16922360, 0, 0, 0, -331142, 0, 19266692, 0, 0, 0, 8999744, 0, 7474732, 0, 0, 0, 10387536, 0, 17391956, 0, 0, 0, 1753318, 0, -1272120, 0, 0, 0, -510630, 0, 8613944, 0, 0, 0, 10084516, 0, 7069524, 0, 0, 0, 20194560, 0, 4749700, 0, 0, 0, 5595142, 0, 2827424, 0, 0, 0, -25014080, 0, -2253840, 0, 0, 0, 20417728, 0, -6163502, 0, 0, 0, 896700, 0, 17361382, 0, 0, 0, 15301896, 0, 17517336, 0, 0, 0, 9206416, 0, 2184910, 0, 0, 0, 12826704, 0, -9892922, 0, 0, 0, -11089732, 0, -11370480, 0, 0, 0, -6056696, 0, -29078768, 0, 0, 0, 21013140, 0, 21144010, 0, 0, 0, -5918416, 0, -1212192, 0, 0, 0, 17775960, 0, -17813140, 0, 0, 0, 10382178, 0, -3429216, 0, 0, 0, -21666936, 0, -5297196, 0, 0, 0, 25771980, 0, -22973918, 0, 0, 0, 11728336, 0, -4903752, 0, 0, 0, 15475800, 0, -14978044, 0, 0, 0, 11628974, 0, 9907440, 0, 0, 0, 7003776, 0, 8350160, 0, 0, 0, -31154228, 0, -12357604, 0, 0, 0, -32744664, 0, 21781900, 0, 0, 0, -19390152, 0, -2531966, 0, 0, 0, 3945040, 0, -2605772, 0, 0, 0, -4737032, 0, 47888076, 0, 0, 0, -14742336, 0, -34538144, 0, 0, 0, 24348192, 0, -4832320, 0, 0, 0, -1222896, 0, 3565240, 0, 0, 0, 55160040, 0, -6652472, 0, 0, 0, 7768262, 0, 45963532, 0, 0, 0, 21491348, 0, 8048800, 0, 0, 0, 4787580, 0, -36506374, 0, 0, 0, -3210088, 0, 44727540, 0, 0, 0, -20671782, 0, 17542824, 0, 0, 0, -2345720, 0, -5085024, 0, 0, 0, 33455168, 0, 45194890, 0, 0, 0, 33505512, 0, 28149248, 0, 0, 0, -9301852, 0, 32191104, 0, 0, 0, -3284768, 0, -11091710, 0, 0, 0, -7721616, 0, 13096736, 0, 0, 0, -9908748, 0, 458990, 0, 0, 0, 43905186, 0, -11733638, 0, 0, 0, -14676576, 0, -20355434, 0, 0, 0, 26006208, 0, -48488722, 0, 0, 0, 630296, 0, 29827716, 0, 0, 0, -202240, 0, -63294920, 0, 0, 0, -19069428, 0, -18986256, 0, 0, 0, 26917380, 0, 75596800, 0, 0, 0, -6719228, 0, -8716904, 0, 0, 0, 17873624, 0, 52768648, 0, 0, 0, -41565384, 0, -14862240, 0, 0, 0, -24451636, 0, 61468496, 0, 0, 0, -20765496, 0, 20353520, 0, 0, 0, 14617582, 0, -21816640, 0, 0, 0, 87646000, 0, -80337032, 0, 0, 0, 47172544, 0, 1618274, 0, 0, 0, 45516720, 0, 49979516, 0, 0, 0, 19713054, 0, 32963232, 0, 0, 0, 14730980, 0, -71470100, 0, 0, 0, -42718980, 0, -73179104, 0, 0, 0, 16454004, 0, -7534830, 0, 0, 0, -59124004, 0, 16483808, 0, 0, 0, 58870398, 0, -17764754, 0, 0, 0, -41638492, 0, 22684920, 0, 0, 0, 30119316, 0, 10503564, 0, 0, 0, 34122432, 0, 72176816, 0, 0, 0, 84120192, 0, -23213686, 0, 0, 0, -331240, 0, 28652364, 0, 0, 0, -20065260, 0, -20669600, 0, 0, 0, -75616902, 0, 27763596, 0, 0, 0, 11869560, 0, -16630306, 0, 0, 0, 117249664, 0, -74850880, 0, 0, 0, 16177080, 0, -7517276, 0, 0, 0, -165513204, 0, -43756316, 0, 0, 0, -25556244, 0, -32357120, 0, 0, 0, 35223396, 0, -2610800, 0, 0, 0, -23036520, 0, 3289272, 0, 0, 0, -39009104, 0, 40886184, 0, 0, 0, -9984600, 0, 6291682, 0, 0, 0, 64997784, 0, 152069164, 0, 0, 0, -76477960, 0, 42508416, 0, 0, 0, -33780208, 0, -80072672, 0, 0, 0, -15784086, 0, -46711688, 0, 0, 0, 29147676, 0, 13196190, 0, 0, 0, -20062232, 0, -70788120, 0, 0, 0, -3335262, 0, 30198280, 0, 0, 0, -83886528, 0, 4895148, 0, 0, 0, -74005716, 0, 37475362, 0, 0, 0, -2650704, 0, -65243380, 0, 0, 0, -34303520, 0, 7626992, 0, 0, 0, 30762528, 0, -32458188, 0, 0, 0, 65983052, 0, -82949272, 0, 0, 0, -145031756, 0, 95393908, 0, 0, 0, -118903980, 0, 36951456, 0, 0, 0, -25570312, 0, 61360052, 0, 0, 0, -18813844, 0, 44171104, 0, 0, 0, 100019932, 0, -43347120, 0, 0, 0, -97119870, 0, 35326746, 0, 0, 0, -34596240, 0, -58589208, 0, 0, 0, 50480820, 0, -100425968, 0, 0, 0, -21885160, 0, 40076272, 0, 0, 0, -2117236, 0, -137066160, 0, 0, 0, -19980534, 0, 68176224, 0, 0, 0, -3415036, 0, -44347680, 0, 0, 0, -57752256, 0, 7976122, 0, 0, 0, -76227068, 0, -46482100, 0, 0, 0, 21898240, 0, 26007114, 0, 0, 0, 82281264, 0, -44298440, 0, 0, 0, -103106808, 0, -33062244, 0, 0, 0, -51338672, 0, -155316432, 0, 0, 0, -46175306, 0, -44275140, 0, 0, 0, -23007360, 0, 15603854, 0, 0, 0, 102292424, 0, 52227368, 0, 0, 0, -20431682, 0, 43714764, 0, 0, 0, -137653844, 0, -42853084, 0, 0, 0, -89112, 0, -95111994, 0, 0, 0, 56658308, 0, 82225264, 0, 0, 0, 2264046, 0, 5837048, 0, 0, 0, 42223758, 0, -28006440, 0, 0, 0, 173939740, 0, 144331920, 0, 0, 0, 52310880, 0, -110568368, 0, 0, 0, -111723900, 0, -25019616, 0, 0, 0, -87020280, 0, 146702624, 0, 0, 0, 17307976, 0, -170452880, 0, 0, 0, 70411152, 0, -42186428, 0, 0, 0, -23791360, 0, -5233984, 0, 0, 0, 71588544, 0, -105295104, 0, 0, 0, 32008104, 0, -4763304, 0, 0, 0, -181607808, 0, 2488158, 0, 0, 0, -115814264, 0, -89732400, 0, 0, 0, -17926356, 0, -11664920, 0, 0, 0, 224203796, 0, 34548644, 0, 0, 0, -187591560, 0, -85319388, 0, 0, 0, -34067680, 0, 45232672, 0, 0, 0, -52985376, 0, -14340012, 0, 0, 0, -117547028, 0, -71808036, 0, 0, 0, 47783680, 0, 255759140, 0, 0, 0, -19361664, 0, -8518416, 0, 0, 0, 58102526, 0, -74459640, 0, 0, 0, 92844972, 0, -71389276, 0, 0, 0, 2172928, 0, 84409520, 0, 0, 0, -136557334, 0, -34525496, 0, 0, 0, -102369916, 0, 1363480, 0, 0, 0, 63863312, 0, -51632850, 0, 0, 0, 14743120, 0, 188774916, 0, 0, 0, 185741140, 0, -10359472, 0, 0, 0, -402386118, 0, 13400520, 0, 0, 0, -265863236, 0, -60940742, 0, 0, 0, -57968384, 0, 17822704, 0, 0, 0, 15241436, 0, -12342720, 0, 0, 0, 170225736, 0, 44280112, 0, 0, 0, -101039176, 0, 40144440, 0, 0, 0, -6389816, 0, -49000320, 0, 0, 0, -187999624, 0, 14915012, 0, 0, 0, 159569332, 0, 183378318, 0, 0, 0, -55360720, 0, -215858134, 0, 0, 0, -123706544, 0, 15171840, 0, 0, 0, 109900992, 0, 105903368, 0, 0, 0, -63789180, 0, 249432412, 0, 0, 0, -14327004, 0, 69411568, 0, 0, 0, 96540876, 0, 16448712, 0, 0, 0, 103281212, 0, 141452048, 0, 0, 0, -77881666, 0, -163851610, 0, 0, 0, 119087884, 0, 240655156, 0, 0, 0, -76290576, 0, 104972412, 0, 0, 0, 15695582, 0, -257318824, 0, 0, 0, 165750480, 0, -144636940, 0, 0, 0, 74991660, 0, -62878858, 0, 0, 0, 83724728, 0, 55420372, 0, 0, 0, -75060882, 0, 206044512, 0, 0, 0, 46461504, 0, -172611496, 0, 0, 0, -23847720, 0, 43091894, 0, 0, 0, -39786628, 0, -135968640, 0, 0, 0, 186019502, 0, -141673080, 0, 0, 0, -76433880, 0, -46810288, 0, 0, 0, 110621592, 0, -56077840, 0, 0, 0, -5001544, 0, -66555504, 0, 0, 0, -42789120, 0, -210112304, 0, 0, 0, -181777860, 0, 185973938, 0, 0, 0, 23835952, 0, 289884664, 0, 0, 0, 115935456, 0, 86319766, 0, 0, 0, -1804868, 0, 5959184, 0, 0, 0, 152971500, 0, -81850046, 0, 0, 0, 58287520, 0, -60907586, 0, 0, 0, -83285800, 0, -191418560, 0, 0, 0, -62927860, 0, 225677556, 0, 0, 0, -9647218, 0, -371473068, 0, 0, 0, 19027580, 0, -114462432, 0, 0, 0, 14124120, 0, -44309720, 0, 0, 0, 87055160, 0, 133480488, 0, 0, 0, -137881912, 0, -19807210, 0, 0, 0, -79873956, 0, -147583284, 0, 0, 0, 396961368, 0, -216848372, 0, 0, 0, -28768782, 0, -103329848, 0, 0, 0, 379842968, 0, 20569540, 0, 0, 0, -420139116, 0, 5409600, 0, 0, 0, -146322680, 0, -112414716, 0, 0, 0, 262902900, 0, -89953672, 0, 0, 0, 251479660, 0, 16661204, 0, 0, 0, -125303280, 0, -155146080, 0, 0, 0, 53886476, 0, -198131368, 0, 0, 0, 73657110, 0, -205727080, 0, 0, 0, 278610966, 0, -20437312, 0, 0, 0, 124124928, 0, 475989552, 0, 0, 0, 414110232, 0, 198942172, 0, 0, 0, -363787608, 0, 334189744, 0, 0, 0, -247996064, 0, -59981600, 0, 0, 0, 194040, 0, -9239508, 0, 0, 0, 303033908, 0, 195417882, 0, 0, 0, -82743720, 0, 55357260, 0, 0, 0, -24366420, 0, 332835370, 0, 0, 0, 342346868, 0, 214278714, 0, 0, 0, -242636312, 0, -29189228, 0, 0, 0, -257476100, 0, 316764044, 0, 0, 0, 24404842, 0, -193475880, 0, 0, 0, 320728060, 0, 329971728, 0, 0, 0, 175778360, 0, 6531504, 0, 0, 0, 68343060, 0, -95538840, 0, 0, 0, -192663498, 0, 151495296, 0, 0, 0, -15853472, 0, -183302544, 0, 0, 0, 3875312, 0, 138504696, 0, 0, 0, 77575820, 0, 325711784, 0, 0, 0, 138312726, 0, -387117748, 0, 0, 0, 107247660, 0, 3624236, 0, 0, 0, -55598688, 0, 331049020, 0, 0, 0, -2799014, 0, -343734896, 0, 0, 0, 172237248, 0, -20716552, 0, 0, 0, 158916480, 0, 382848960, 0, 0, 0, -140202132, 0, -197737360, 0, 0, 0, -204897246, 0, 250914776, 0, 0, 0, 70252642, 0, -80255630, 0, 0, 0, 411819836, 0, 395236022, 0, 0, 0, 76926520, 0, -55821744, 0, 0, 0, -84732968, 0, 287819600, 0, 0, 0, -24205620, 0, -135211740, 0, 0, 0, 3130904, 0, -5391772, 0, 0, 0, 168769120, 0, 28403276, 0, 0, 0, 329377184, 0, 115466246, 0, 0, 0, -131545252, 0, 83831690, 0, 0, 0, -42892968, 0, 315627760, 0, 0, 0, -222762144, 0, 328316820, 0, 0, 0, -332022532, 0, 224785440, 0, 0, 0, -116621274, 0, -387899924, 0, 0, 0, 376609296, 0, -224882640, 0, 0, 0, -83098440, 0, 252665952, 0, 0, 0, 167390128, 0, -232387580, 0, 0, 0, 644527682, 0, 206719184, 0, 0, 0, -325685596, 0, -15058892, 0, 0, 0, -223568472, 0, 3890420, 0, 0, 0, -119552160, 0, -457546112, 0, 0, 0, -96971974, 0, 177441920, 0, 0, 0, 229847156, 0, 24019604, 0, 0, 0, 346085568, 0, -352331524, 0, 0, 0, 89150256, 0, -218891400, 0, 0, 0, 108848200, 0, 649361736, 0, 0, 0, -355096852, 0, -581416066, 0, 0, 0, -214007892, 0, -82537636, 0, 0, 0, 600538078, 0, 129679240, 0, 0, 0, -270788044, 0, 222959506, 0, 0, 0, -234898160, 0, 424893680, 0, 0, 0, 289882128, 0, -66467944, 0, 0, 0, -32751028, 0, -53201400, 0, 0, 0, -209090960, 0, -351970320, 0, 0, 0, 7708288, 0, -493731364, 0, 0, 0, 657430908, 0, -75213312, 0, 0, 0, -321467040, 0, -154055608, 0, 0, 0, 106607088, 0, 945193340, 0, 0, 0, 26544320, 0, 232017578, 0, 0, 0, 325967736, 0, -25675022, 0, 0, 0, -90471400, 0, 663770808, 0, 0, 0, -28230468, 0, -238855964, 0, 0, 0, 832927020, 0, -513390804, 0, 0, 0, 61583328, 0, -90299160, 0, 0, 0, 59392888, 0, 139701100, 0, 0, 0, 830282530, 0, -688134428, 0, 0, 0, -15112500, 0, -16472624, 0, 0, 0, -370858640, 0, -457435428, 0, 0, 0, -62234508, 0, 75992072, 0, 0, 0, 693789926, 0, 761763048, 0, 0, 0, 227376252, 0, -250309150, 0, 0, 0, -366753720, 0, 557231348, 0, 0, 0, 248306636, 0, -239804260, 0, 0, 0, 42999408, 0, 177484036, 0, 0, 0, 376172688, 0, -17356694, 0, 0, 0, -30607948, 0, 655288740, 0, 0, 0, 369498018, 0, -156349160, 0, 0, 0, -579265312, 0, 180818036, 0, 0, 0, 70139280, 0, -252769632, 0, 0, 0, -349162840, 0, -523019088, 0, 0, 0, 77816200, 0, 105861488, 0, 0, 0, -674182204, 0, 23302718, 0, 0, 0, -148690696, 0, 689226732, 0, 0, 0, 101252200, 0, -3246620, 0, 0, 0, -53814170, 0, -93152528, 0, 0, 0, 576701868, 0, -548121440, 0, 0, 0, 242049792, 0, 242280822, 0, 0, 0, -307949664, 0, 342062244, 0, 0, 0, 885724036, 0, -238032180, 0, 0, 0, 94346560, 0, 414635044, 0, 0, 0, -666576716, 0, -66412368, 0, 0, 0, 60634652, 0, 11529602, 0, 0, 0, -247764920, 0, -415414044, 0, 0, 0, 22361070, 0, -88641152, 0, 0, 0, -245920164, 0, -1061834196, 0, 0, 0, -435548992, 0, -37823544, 0, 0, 0, -260683332, 0, 27016080, 0, 0, 0, -801090496, 0, -267261804, 0, 0, 0, -663927196, 0, -139296906, 0, 0, 0, 4402232, 0, 131777056, 0, 0, 0, 197313600, 0, -731413608, 0, 0, 0, -112048784, 0, 259674048, 0, 0, 0, -980527032, 0, -412344398, 0, 0, 0, -181210820, 0, -711142800, 0, 0, 0, 238927626, 0, -420407584, 0, 0, 0, -602343040, 0, -3759280, 0, 0, 0, 353249116, 0, -449879160, 0, 0, 0, 15424568, 0, 12934000, 0, 0, 0, 102071676, 0, 421930192, 0, 0, 0, -451215840, 0, -874146260, 0, 0, 0, 15164520, 0, -11681296, 0, 0, 0, -244891400, 0, 695882160, 0, 0, 0, -21834254, 0, -163062690, 0, 0, 0, 61439424, 0, 891670608, 0, 0, 0, -1300660896, 0, 567675806, 0, 0, 0, -627545872, 0, 647376292, 0, 0, 0, 95764508, 0, 134805776, 0, 0, 0, -62377588, 0, 600906388, 0, 0, 0, -224907540, 0, -194173640, 0, 0, 0, -53740944, 0, -65823464, 0, 0, 0, 610609192, 0, -67535756, 0, 0, 0, -85852338, 0, -445690080, 0, 0, 0, -204432320, 0, -626754960, 0, 0, 0, -63516912, 0, -579639588, 0, 0, 0, 26939220, 0, -361774176, 0, 0, 0, -13893348, 0, 778537284, 0, 0, 0, -747213072, 0, -97879852, 0, 0, 0, 513191392, 0, 231638528, 0, 0, 0, 150344010, 0, 555191976, 0, 0, 0, 86385680, 0, 243659360, 0, 0, 0, 653138016, 0, 1182764256, 0, 0, 0, -29467620, 0, -75137252, 0, 0, 0, 520679198, 0, -796132128, 0, 0, 0, 14936680, 0, -264863620, 0, 0, 0, 615305484, 0, 246546150, 0, 0, 0, 190630032, 0, 137779720, 0, 0, 0, -401391900, 0, 118152520, 0, 0, 0, -179944944, 0, -172696638, 0, 0, 0, 73974516, 0, 476290648, 0, 0, 0, -338762668, 0, -663985808, 0, 0, 0, -612413410, 0, -63290360, 0, 0, 0, -739686768, 0, -225193072, 0, 0, 0, -799184924, 0, -923159554, 0, 0, 0, -904565704, 0, -414433812, 0, 0, 0, -123373120, 0, 1155442388, 0, 0, 0, -257971280, 0, -1283574400, 0, 0, 0, 846939256, 0, -329299856, 0, 0, 0, 1214508744, 0, 72380448, 0, 0, 0, 1075131488, 0, -29276520, 0, 0, 0, 893705408, 0, 577248770, 0, 0, 0, -762643668, 0, 711654048, 0, 0, 0, 741927000, 0, 258966480, 0, 0, 0, -100309664, 0, 285453216, 0, 0, 0, 1077851736, 0, -1033360248, 0, 0, 0, -180423872, 0, -333283594, 0, 0, 0, 233530224, 0, -314601892, 0, 0, 0, -338242870, 0, -176161220, 0, 0, 0, 346031920, 0, 22226124, 0, 0, 0, -516539136, 0, 1177166206, 0, 0, 0, -38361120, 0, -366468226, 0, 0, 0, 245834568, 0, -416322848, 0, 0, 0, -529004790, 0, -138407360, 0, 0, 0, -1468432832, 0, 182481880, 0, 0, 0, -573328572, 0, -341996372, 0, 0, 0, -63146232, 0, 612110328, 0, 0, 0, -72776652, 0, -607689484, 0, 0, 0, -150020360, 0, -446946024, 0, 0, 0, 142655608, 0, -604707116, 0, 0, 0, 402146402, 0, 232802528, 0, 0, 0, -617902512, 0, -383884464, 0, 0, 0, -1012365432, 0, -68054976, 0, 0, 0, -816414136, 0, 949677008, 0, 0, 0, -140210116, 0, -254876324, 0, 0, 0, -28855218, 0, -288315360, 0, 0, 0, 164624112, 0, -758865120, 0, 0, 0, 311862408, 0, -421515248, 0, 0, 0, 544804872, 0, -755509360, 0, 0, 0, 252739920, 0, 1090813274, 0, 0, 0, 52294272, 0, -318564656, 0, 0, 0, 235011312, 0, -764102772, 0, 0, 0, 523853218, 0, 287599440, 0, 0, 0, -243293110, 0, 681906348, 0, 0, 0, -788989504, 0, -196025284, 0, 0, 0, 415625080, 0, 895431528, 0, 0, 0, -433241194, 0, 128201960, 0, 0, 0, -1036391948, 0, 265884004, 0, 0, 0, -883444164, 0, 1200574710, 0, 0, 0, -311650584, 0, -410063420, 0, 0, 0, -131447040, 0, -146681880, 0, 0, 0, 854028072, 0, 246673938, 0, 0, 0, 766535744, 0, -726878160, 0, 0, 0, -553556244, 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], [0, 0], [0, 0], [-41, -1], [0, 0], [49, 0], [0, 0], [0, 0], [0, 0], [170, 2], [0, 0], [455, -13], [0, 0], [0, 0], [0, 0], [-1608, -2], [0, 0], [337, 15], [0, 0], [0, 0], [0, 0], [-552, 24], [0, 0], [1661, 82], [0, 0], [0, 0], [0, 0], [-4032, -38], [0, 0], [3106, 70], [0, 0], [0, 0], [0, 0], [-2009, -49], [0, 0], [-4256, -130], [0, 0], [0, 0], [0, 0], [652, 226], [0, 0], [5002, 266], [0, 0], [0, 0], [0, 0], [-6374, 238], [0, 0], [2401, 0], [0, 0], [0, 0], [0, 0], [5610, -256], [0, 0], [-13180, -252], [0, 0], [0, 0], [0, 0], [-6009, -751], [0, 0], [51369, 25], [0, 0], [0, 0], [0, 0], [21710, 78], [0, 0], [-12068, 648], [0, 0], [0, 0], [0, 0], [44860, -580], [0, 0], [-27794, 572], [0, 0], [0, 0], [0, 0], [8330, 98], [0, 0], [-24412, 652], [0, 0], [0, 0], [0, 0], [17891, 1149], [0, 0], [72138, 1690], [0, 0], [0, 0], [0, 0], [9150, 1576], [0, 0], [22295, -637], [0, 0], [0, 0], [0, 0], [-60392, -952], [0, 0], [-34992, 154], [0, 0], [0, 0], [0, 0]]}