# Stored data for newform 176.10.a.e, downloaded from the LMFDB on 24 April 2024.
{"label": "176.10.a.e", "space_label": "176.10.a", "level": 176, "weight": 10, "hecke_orbit": 5, "hecke_orbit_code": 18014398677254320, "dim": 2, "is_polredabs": true, "nf_label": "2.2.889.1", "trace_hash": 994835833042584486, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-17892, -21, 1]]], "qexp_display": "q+(6+9\\beta )q^{3}+(-212-97\\beta )q^{5}+(3580+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 17600, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 90.64630716484167, "hecke_ring_index": 1, "level_radical": 22, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [176, 1, [111, 133, 145], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 11], "conrey_indexes": [1], "field_disc": 889, "field_disc_factorization": [[7, 1], [127, 1]], "field_poly": [-222, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "1.923", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.430", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "67.266", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [11, 1]], "trace_display": [0, 21, -521, 7490], "traces": [0, 2, 0, 21, 0, -521, 0, 7490, 0, -3141, 0, -29282, 0, 150314, 0, -393519, 0, 690472, 0, -511212, 0, 1398810, 0, -874751, 0, 411771, 0, 309771, 0, -2951058, 0, 5818705, 0, -307461, 0, -16179590, 0, 2658905, 0, -381948, 0, 13427994, 0, 17820762, 0, -7330788, 0, -56044104, 0, -4251114, 0, -18401250, 0, 96842752, 0, 7627961, 0, 141898680, 0, 119136183, 0, -90424326, 0, 15960420, 0, -18029712, 0, 295944891, 0, -187843215, 0, 322953267, 0, -255975514, 0, 206496864, 0, -109661090, 0, 889658, 0, -692205750, 0, 277699042, 0, 96595042, 0, -1040096232, 0, 1363672217, 0, 491050280, 0, 1530132009, 0, -1454033872, 0, 1398434043, 0, 45987381, 0, 2842139296, 0, 3412121560, 0, -1967030310, 0, -2051401718, 0, 1439141816, 0, 1642428291, 0, 881954635, 0, 2153412409, 0, -277233282, 0, 1645273420, 0, 428717762, 0, 1056492360, 0, -1268666781, 0, 3404709712, 0, 4675014918, 0, 68029126, 0, 3485279280, 0, 8081128755, 0, 3130214419, 0, 8654357426, 0, -8874202680, 0, -2200747274, 0, 11644715268, 0, 9843399153, 0, 8569236916, 0, -5767695690, 0, -1623061602, 0, -17348711967, 0, 455683879, 0, 11334954498, 0, -9826747910, 0, 9705808344, 0, 5761511679, 0, -10151428116, 0, -9805124998, 0, 3895452972, 0, 31497395656, 0, 8955102240, 0, 34185938283, 0, 37801842083, 0, 18769944957, 0, 43949108196, 0, -18093472473, 0, -10109200552, 0, -26606938050, 0, 6417898071, 0, -14768441562, 0, -28843229268, 0, 16140342308, 0, -32138409448, 0, -18338495049, 0, -48052416720, 0, -13365030996, 0, -2378028474, 0, 7484654892, 0, -44054677408, 0, 4966722243, 0, -53011864162, 0, 75655689130, 0, -9077237484, 0, 53290369764, 0, 38596169845, 0, 3598952283, 0, 25288101042, 0, -100814786507, 0, -20479977210, 0, -715662478, 0, 103901349096, 0, -79468936134, 0, 54105900542, 0, 2866579386, 0, -30622483836, 0, -105463637853, 0, -46438997944, 0, -158075921514, 0, 33136946195, 0, 12807229391, 0, -126271924842, 0, -92336860016, 0, 69156291470, 0, -16556675994, 0, 19169273202, 0, -136433786162, 0, -44237812353, 0, -56608933064, 0, -204852253132, 0, 97034551320, 0, -6028739211, 0, 308345778724, 0, 21711471534, 0, -180977796008, 0, -124678666800, 0, 45557270472, 0, 83856113040, 0, 19475097606, 0, -144270857367, 0, -81293942650, 0, -386001176901, 0, -4535357211, 0, -56016707412, 0, 231294973980, 0, 20328329490, 0, -460351204304, 0, -320580033204, 0, -32237006592, 0, 35527359628, 0, 411023952265, 0, -12329990820, 0, 88046535387, 0, 43206440178, 0, -133727715786, 0, -281407918840, 0, 19940261762, 0, 516159388290, 0, -513695621040, 0, 34949260565, 0, 29728895256, 0, 154045677143, 0, 192612228500, 0, 195768486249, 0, -85191659905, 0, 44392376140, 0, 238874231841, 0, 468543017408, 0, -792218599564, 0, 64511292132, 0, -430223443587, 0, -101112009957, 0, 376980088380, 0, 238229427060, 0, 87645785322, 0, 4501536501, 0, 135546174168, 0, -671541162535, 0, -1863197694, 0, 741006644980, 0, 644286088116, 0, 612026529471, 0, -166852226076, 0, -680070346207, 0, 458695433616, 0, -629624741719, 0, 236885377190, 0, 66258328536, 0, 1250132983767, 0, -174711401930, 0, -494267919222, 0, 856367457610, 0, -190178086884, 0, 250666027920, 0, 721358360228, 0, 357335584220, 0, 366312796119, 0, -38929028105, 0, -1125992841732, 0, -1243992356103, 0, 1653781978590, 0, 1662792828574, 0, -847426223490, 0, 1530011693016, 0, 665617639180, 0, -85983266016, 0, -1879049002, 0, 1307641565160, 0, 5592100668, 0, -771105404358, 0, 506984987911, 0, 957719512512, 0, -507160665400, 0, 205148287920, 0, 214325127387, 0, -969060694361, 0, 275870937611, 0, 1312058080662, 0, 928260618133, 0, -196599260154, 0, 2338029469566, 0, -1118164905480, 0, -424998410706, 0, 646465916754, 0, 1546679634730, 0, -1025364343277, 0, -1693815124743, 0, -2125934050017, 0, 321963348630, 0, -918873166071, 0, -260913776442, 0, 721682457332, 0, 64588675626, 0, 1859323835940, 0, 111934234600, 0, -1349664123990, 0, 1348883291509, 0, 1781143851689, 0, -2100680973972, 0, -1178423326084, 0, -299876558724, 0, 107330067108, 0, 1267236126030, 0, 4078728732056, 0, -1782358048044, 0, -2253056977630, 0, -637836074114, 0, -397606079409, 0, -1208343510131, 0, -1192909768120, 0, -3176633643624, 0, -155275949904, 0, 820541726664, 0, -565701464622, 0, -2826011735481, 0, -217467145828, 0, 1122970295160, 0, 962220182838, 0, -2333188185021, 0, 504531800190, 0, 959363942028, 0, 1743527456590, 0, 116203804815, 0, 62240560074, 0, 3227998722174, 0, 4918464972855, 0, -5775084745794, 0, -1943098956124, 0, 1084881239982, 0, -3373176518616, 0, -2910871740700, 0, -1126453309317, 0, 1683469347252, 0, 1095013955264, 0, 269412701250, 0, -2192244398120, 0, -2239890556907, 0, -3225070898910, 0, 1070227000490, 0, -1640194572672, 0, 4270053721311, 0, -1183304769004, 0, 273954060787, 0, -2568209817348, 0, -4863048341060, 0, -1417874732032, 0, -573416600436, 0, -2766137383800, 0, 4521386172712, 0, -8473333885674, 0, -475862167938, 0, -4305411236420, 0, 3993379475232, 0, 5323483391424, 0, -2521218028476, 0, -915145695810, 0, -111680977001, 0, -5406186355914, 0, -6231609528480, 0, -3760994235648, 0, 3599483026358, 0, -2984176629504, 0, 26411503516, 0, 1420954890149, 0, 3622234398363, 0, 2959885529510, 0, -7213609257384, 0, -2077538573880, 0, -232298802738, 0, 2474086934745, 0, -3526063657116, 0, -5445344682096, 0, -857849593398, 0, -474108134094, 0, -10423536468831, 0, 9892488219911, 0, -5183381702058, 0, 2015410307399, 0, -1744272855303, 0, 10136748425370, 0, -752004031899, 0, 5317086838162, 0, 267830158410, 0, 6833098312578, 0, 1688352758747, 0, -2045065949640, 0, -3215120559280, 0, 6298037021952, 0, -82977362643, 0, 1323902556966, 0, -14791807970576, 0, -4188532999140, 0, 9262471589348, 0, -591193052310, 0, 2227445862390, 0, 3205415327988, 0, 12946288246933, 0, -7543562242881, 0, 6716647184844, 0, -9077064614525, 0, -233676509220, 0, 7858296192406, 0, 3983585171220, 0, -12908270632992, 0, 13522921584120, 0, 5924071743488, 0, 14123314573704, 0, 10294960115860, 0, -9152427153235, 0, -1670441036292, 0, -9834476914359, 0, 263973013392, 0, 734204162622, 0, -16882089963255, 0, 10282704866560, 0, 13705488413568, 0, -6273957639198, 0, 4626682043245, 0, 15566283545346, 0, 2954991364076, 0, 9189550906666, 0, -2858382330867, 0, -4332929149131, 0, 9029298930938, 0, 11081542180800, 0, 3415196187700, 0, -15403604663870, 0, -3816953336016, 0, -11796059351300, 0, -8918040831265, 0, -18739244084505, 0, -24348988229218, 0, 19561319853568, 0, 2750212510815, 0, 302632395342, 0, 23761360739060, 0, -2824712141904, 0, 7160789872716, 0, 27927980117070, 0, 16035603370710, 0, 5054670433056, 0, 9446948371132, 0, 8527576878030, 0, 312316159800, 0, -4728358782147, 0, 20767537123200, 0, 9836273365037, 0, 1892013699420, 0, 3869703072522, 0, 10141545402730, 0, -9240498421772, 0, -22910263588758, 0, -1448838959757, 0, -13445313150960, 0, -3371331000060, 0, 3747737500474, 0, 15994187528410, 0, 14572516789698, 0, 13090286486114, 0, -4486303962790, 0, -11484147145884, 0, 21210683623460, 0, 13801402009184, 0, 1158254526240, 0, 20755107256748, 0, -5717888394967, 0, -3023320585824, 0, -9464732406736, 0, 10274606758887, 0, 11617785489030, 0, -8512313800704, 0, 20705502704676, 0, -29996992878237, 0, -21031964618619, 0, 3622745495306, 0, 8407503196134, 0, 5729931716669, 0, 1605548018690, 0, -12433787162244, 0, -9174316864341, 0, 10216814738180, 0, 3560877344664, 0, -324404020478, 0, -8002251701829, 0, 13172614630560, 0, -4723047492760, 0, 1456388380942, 0, -17506950984369, 0, -13025482778, 0, 23409941177132, 0, -5534283375720, 0, 18178252363110, 0, -48284929025494, 0, -12796720759032, 0, 26109013234391, 0, 3626120105496, 0, -35747890590069, 0, -36554883571746, 0, 28258657198240, 0, 10134584385750, 0, -19565306943360, 0, -6821890185457, 0, -13158236361060, 0, -49758818591856, 0, 26082527316136, 0, 30998944313820, 0, -55775561042213, 0, 37096722237888, 0, -4663376559846, 0, -1090435158828, 0, -4065791673922, 0, 1014748565964, 0, -17894579174780, 0, -18136700860354, 0, -35341383128688, 0, 24186409872324, 0, 9613261227758, 0, -6788086852392, 0, 23400333328500, 0, 41530874212884, 0, -68826361471644, 0, -1414248009922, 0, 15403907035818, 0, -24839518050417, 0, -7362302515992, 0, -10415880486720, 0, 35293358800350, 0, -24372877981905, 0, -18890479222628, 0, -56540930830083, 0, -13092931403916, 0, -46967260423257, 0, 15228048932712, 0, -35095532609270, 0, 23988194302691, 0, 865778445432, 0, 29855478421552, 0, 1567668669192, 0, 54443483954832, 0, -35119352627091, 0, -1993653909940, 0, 15000523067208, 0, -40329261484313, 0, -19965524929097, 0, 8261844161634, 0, 3561820535529, 0, 88945699223330, 0, -73417631056560, 0, -30063807847498, 0, -37990399365880, 0, -10905251883351, 0, -38304697574384, 0, -40421733831756, 0, -33546158551143, 0, -7189467149480, 0, 17665735539306, 0, -50216344684233, 0, 17449756356824, 0, 29531337516696, 0, 2059790828970, 0, -4978240003811, 0, 74242625425920, 0, 2531557459944, 0, 35249581137374, 0, -64204385037836, 0, -22402662743769, 0, 7905356347926, 0, 4394014692536, 0, -18582691334340, 0, -40025347662576, 0, -20581094518958, 0, 1159597244142, 0, -63205464824828, 0, -16510147356797, 0, -30421898089044, 0, 76901432328700, 0, 21288509919952, 0, 1382122577262, 0, -39374474907229, 0, 51284671662554, 0, -51084554283270, 0, 44493852998140, 0, 66348289699020, 0, 36477891098523, 0, -21058408351671, 0, 29284943061676, 0, -64132914740013, 0, -20474472823563, 0, 61734488341402, 0, 4969897160760, 0, -49173695447964, 0, 28869574994132, 0, 720582200604, 0, 29636133912144, 0, 65627078482440, 0, -74364073198191, 0, -120398226783030, 0, -32899557005352, 0, -673301245221, 0, -35264837826714, 0, -20058204441661, 0, 52753155290892, 0, 11639867451024, 0, -32160918255830, 0, 42279355263873, 0, 79637308032219, 0, 14189818534224, 0, -17175876766272, 0, -125956839440696, 0, -41611761432736, 0, 110346081098820, 0, -4792190782011, 0, 115690313681542, 0, -31633837025994, 0, 104259579897384, 0, 22589055328468, 0, 15124739323662, 0, -47206199447043, 0, 72361837246820, 0, -74701239543504, 0, -49956871759960, 0, -27732696737058, 0, 22043877005829, 0, 117449854387682, 0, -44413453009800, 0, 3534769011744, 0, 96156216051971, 0, 73610023349507, 0, -17105498448927, 0, -23625268380530, 0, 179380996371955, 0, 28799290768710, 0, 105677581880784, 0, 206758102931848, 0, -91633758222510, 0, -45308702602854, 0, 139227913316228, 0, -41775918790095, 0, -99461926898040, 0, -65634580262969, 0, -52294547713674, 0, -58064937436176, 0, 30034572553238, 0, -10501466468328, 0, 73531615352940, 0, -47524109571610, 0, 29523334378650, 0, 136125873183248, 0, -45472374026388, 0, -68611018360122, 0, 131489212022533, 0, -15884691988114, 0, -978148604160, 0, -21070475328056, 0, 80632652723276, 0, 49226289499002, 0, -148137051153548, 0, 110372486156226, 0, 108457289020668, 0, 85088862368020, 0, -114705452689739, 0, -16414396659864, 0, 66820228924776, 0, -93556233530678, 0, -24046792608531, 0, -7979008836510, 0, 54648275907603, 0, 13572966723498, 0, -229403157399550, 0, 247940399115426, 0, -31730053502592, 0, -112592386695984, 0, -105741258093240, 0, 219346026604110, 0, -83819802629988, 0, -12912697811035, 0, 5517330209286, 0, -152078833991496, 0, 26299032049946, 0, -33295904843256, 0, 131274995575430, 0, 197085231726935, 0, 119521665516204, 0, 38886632486901, 0, 113756292176536, 0, -149337564236994, 0, -31528111080169, 0, 243410730726870, 0, 165593541684312, 0, 76420425958896, 0, -163363853662552, 0, 64496549136432, 0, 121915631270143, 0, 200989254336935, 0, 122187842020440, 0, -135048540312752, 0, -159223872286406, 0, 4058972481762, 0, 31954112912346, 0, 48407542095500, 0, 20061335285082, 0, -102097355517570, 0, 127986309855746, 0, 225559389362181, 0, 251249130215649, 0, 40616090729241, 0, -743575282236, 0, -240235958267784, 0, -24088448142220, 0, -24069763973976, 0, 214124654761452, 0, -44531072700054, 0, -279099750412728, 0, -30043189041954, 0, -234072522584423, 0, -208633493950497, 0, 77876974284482, 0, -214875863282076, 0, -259454073347301, 0, -6276856753442, 0, 234959555207974, 0, -246434899754841, 0, 178132773966630, 0, 260150542157840, 0, 12205716377346, 0, 56930999258812, 0, -148718964817538, 0, -27756127625709, 0, -76103776683816, 0, -143789656951080, 0, -15468104642760, 0, 153955151200420, 0, -215534418542853, 0, 59428561841676, 0, -192103650005842, 0, 314921886077088, 0, -130950749137320, 0, -315512400760256, 0, -183990923144701, 0, 13709755493532, 0, -111340680786619, 0, 18574550340621, 0, -226679618666376, 0, -256457358986500, 0, 341263096429962, 0, -112363165310844, 0, -170643521669326, 0, 39294424482968, 0, -108925841342325, 0, -148069185709056, 0, 38438858346560, 0, -4498574486706, 0, -49848354893392, 0, 398376049134420, 0, 93426165285579, 0, -183242276610356, 0, -63950139168710, 0, 118413701739270, 0, 75430037672435, 0, 210569392513852, 0, -20112466314780, 0, 152377918546052, 0, 80882279729692, 0, -68446893414438, 0, -270862634790594, 0, -160785381852549, 0, -13779017033712, 0, -253179449384512, 0, 97065570548384, 0, -202021177061970, 0, 246849202693424, 0, -154326313895040, 0, 226592703023652, 0, -383038716762192, 0, -996014433766, 0, 119910969021732, 0, 185816696228693, 0, 159807577977588, 0, -10743241096980, 0, -242680705602648, 0, 510497075396695, 0, -215759216746479, 0, -501122197563576, 0, -292327126545192, 0, -278727934513623, 0, -51027973938480, 0, 149897520175556, 0, -61497403197516, 0, 56130742095480, 0, -161180262500758, 0, 79935200198616, 0, 209465803445616, 0, -277312716851800, 0, -313680747952656, 0, -222791768165830, 0, -339434029232917, 0, -118315806101955, 0, 42275165636646, 0, -81228789625997, 0, 232382824146270, 0, -104109738927510, 0, 150069675672348, 0, 70811174082684, 0, -121497565070811, 0, -325311218913072, 0, -19248311253168, 0, -368177192659780, 0, -45829469308579, 0, 77992979886570, 0, 171745291988059, 0, 512506902451454, 0, -555662792402886, 0, 58904558755404, 0, 391078156254765, 0, 9211251203829, 0, 36074500045629, 0, 233498354608594, 0, 246187554690399, 0, -126708447074066, 0, -93184210959100, 0, -205419167013480, 0, 428133698612360, 0, -432083274091596, 0, 106346565473076, 0, -23022024594841, 0, 34867321936140, 0, -645933978347616, 0, 104069890920240, 0, 339110960830255, 0, 129927201437880, 0, 25072261281754, 0, 736560864875860, 0, -68291566376958, 0, -264907978834156, 0, 126640627382290, 0, -184477740601203, 0, 207157276687451, 0, 319284274910500, 0, -311560410785064, 0, 280211674843384, 0, 32221140838634, 0, 7543788086520, 0, -729473621627392, 0, -524764145450110, 0, 442638888261318, 0, -11065148301970, 0, 596413398288321, 0, 131783076445734, 0, 166641034455420, 0, 224937631489706, 0, -674269563595383, 0, -170490276238788, 0, 194128776695262, 0, 65718357319440, 0, -476690127293940, 0, -615334964902490, 0, 445553691490950, 0, 43693488543919, 0, -558154400687632, 0, -65262819269538, 0, -32591930164688, 0, -545319004804096, 0, -144117206999073, 0, 262475796657936, 0, -49441693675508, 0, 537174273179880, 0, -129395888151732, 0, 363509724766590, 0, 69670793011968, 0, -475707882469120, 0, -149070709315773, 0, -470389909321206, 0, -345797029937097, 0, -125462197687156, 0, 785146542634776, 0, 702743315129994, 0, 866963400665040, 0, -958356905543100, 0, 596035965026506, 0, 232860708824384, 0, 5220395875296, 0, 112385190352873, 0, 388136388016736, 0, -327623054999100, 0, 84444832597290, 0, -254701571139348, 0, 8749889703486, 0, 893706858936468, 0, 971750420874944, 0, 582593351983902, 0, 208716645117260, 0, -59492824514488, 0, 331327985317896, 0, 143662800508044, 0, -541329673788142, 0, 23763244914882, 0, -50578169489010, 0, 512166281901120, 0, 484402122214332, 0, -588071369108144, 0, 807655548719792, 0, -243224761689903, 0, 498205886897544, 0, 650246389747556, 0, -31699627525440, 0, 32061897275232, 0, 254002491908847, 0, 275143426061448, 0, -60696743992015, 0, -1098869350649688, 0, 282754283357196, 0, 193739640963260, 0, 987987093277480, 0, 78176672702370, 0, -302045739027081, 0, 426810597304498, 0, -137633493969636, 0, -6671667672439, 0, 250288180204160, 0, 454274987566785, 0, -118847737301648, 0, 258848452617140, 0, -27482127326766, 0, -446056188140424, 0, -1182177147745793, 0, -470671876339140, 0, 101823997003050, 0, -573281631826835, 0, -165955068805218, 0, 1226479219156656, 0, -173006756453940, 0, 599885301444660, 0, -575765477216650, 0, 445965452050944, 0, -404852722261596, 0, 233763793479912, 0, -329764350040041, 0, 100430126040552, 0, -1124963293419132, 0, 143873416150310, 0, -206847364672782, 0, 75339373166652, 0, 276230969647362, 0, -90466212727548, 0, 304775437052808, 0, 558810171839621, 0, -458132838243780, 0, -245049444708491, 0, -67658847079592, 0, 141420860301240, 0, -142102739964504, 0, -42865410415572, 0, 880453583777880, 0, 277720273938940, 0, -779862214187706, 0, 459408156404274, 0, 788566309876395, 0, 701520598673312, 0, 496909532150829, 0, 887187858458600, 0, 437746550779965, 0, -84354292492239, 0, 393990929475514, 0, -628290007787252, 0, -333349164746010, 0, -481165585139712, 0, -88580078681338, 0, -44801921752560, 0, 1690405065790563, 0, 452430251717547, 0, -607291682366880, 0, -356737097674919, 0, 148627059046356, 0, 584782977749880, 0, 206297870617860, 0, -1007607011806016, 0, -38730938705748, 0, -183196087238940, 0, -286987072522722, 0, -683061972764934, 0, 139874415565080, 0, -1298460519758780, 0, -1043171266306407, 0, 143556835095718, 0, -21891807213836, 0, 388385487971793, 0, 246017648742178, 0, 198726842735176, 0, 711921356222790, 0, -33798784942389, 0, 181640897010732, 0, -387363473298081, 0, -305019833825040, 0, -1331823667508189, 0, -57033326963052, 0, 344119600527220, 0, 829696254166296, 0, 520845703969122, 0, 134731680393872, 0, 1568850010227068, 0, -411975675081495, 0, -137386976721659, 0, -1109388965872600, 0, 4854590438292, 0, 22888754604715, 0, -461153369799496, 0, -827949795717744, 0, -2005700843072976, 0, 677400250968934, 0, 738314302129236, 0, -603549380066442, 0, 277123973007257, 0, 16878807979425, 0, -765382775597800, 0, 171605928583018, 0, 225347446949247, 0, -131111651895840, 0, -586964208540960, 0, 744682851375267, 0, 729585370127502, 0, -1009910092327236, 0, -13906767029076, 0, 577502612718972, 0, 1462027284443740, 0, 23824901884791, 0, 164396578635384, 0, 266065309573797, 0, -500516322401403, 0, 249685983647326, 0, -470286249616977, 0, 77372377700940, 0, 589359827465062, 0, -1150556786217056, 0, 1913286966298407, 0, 591431183701986, 0, -564072619908040, 0, 171572981274618, 0, -299810277395300, 0, -553456769937203, 0, 94743344174724, 0, -124224199336619, 0, -446105022561240, 0, -1338774786179082, 0, -1509194711292786, 0, -874825849730280, 0, -1035895707990843, 0, 767493880460002, 0, -990487122099694, 0, -138389437189764, 0, -274810764115437, 0, 396135598111456, 0, -765752854337520, 0, -705564698622178, 0, 578420434983828, 0, 771104979601488, 0, 1860014739981288, 0, -636830140785058, 0, -70868264807898, 0, 222884416927242, 0, -1927343135477463, 0, -643458893097636, 0, -1221576002186724, 0, -501453581430655, 0, -69598026903594, 0, -1532177028884112, 0, -576485208137370, 0, -239417583226749, 0, -2314522872301827, 0, -282642126685973, 0, -1113707822296650, 0, 65476746079712, 0, 264906530477193, 0, 321590028644010, 0, 662274719164188, 0, 84535871619808, 0, 1485374143968, 0, 19609859550814, 0, -305873600409577, 0, 700793241848784, 0, -742360741801840, 0, 265917558514882, 0, -138779550638463, 0, 148008805281832, 0, -520689942896256, 0, 22144475533536, 0, 128650514596104, 0, -2607719942689890, 0, 751084897973256, 0, -388787216517348, 0, 1681546013886200, 0, 454469003771055, 0, -846830310405124, 0, -14016358245329, 0, 389552179990050, 0, 850367406608976, 0, 16236745768507, 0, -1352216736422706, 0, 547639196030056, 0, 1433454154727256, 0, 185668537730256, 0, -670684803476520, 0, -1513599673334556, 0, -269791931794734, 0, -216087641491567, 0, -93964445657511, 0, 190968020100018, 0, 1511459415715082, 0, 1194647044557666, 0, -154691944069992, 0, 845290377562694, 0, -1711773045722596, 0, 110502289816848, 0, 556779788818284, 0, 849378333396248, 0, 1948513064541540, 0, 216224752909242, 0, -883514818879278, 0, -1558889292820713, 0, -1169240244011442, 0, 1421013122643544, 0, 1671804406686078, 0, -1509572599042760, 0, -1075918561019421, 0, -1265562248088159, 0, 479413349906396, 0, -941111158479165, 0, 422293719712788, 0, 537426116738432, 0, -2372999626284000, 0, -81485380455660, 0, 679847982868352, 0, -102607084052694, 0, -170724677361903, 0, 874102847212512, 0, -657827479216667, 0, 2105349390997440, 0, -2505724762455727, 0, -236310751731428, 0, 282681213004602, 0, -671714622260352, 0, 912563856910332, 0, -571950218137032, 0, -2404261325610200, 0, 987448675695505, 0, -559588829588355, 0, 1635253881830817, 0, 334140238644008, 0, 578349138726261, 0, 470538452728168, 0, 470258151095110, 0, 1351848970790724, 0, 2977849906694744, 0, -2314886319250508, 0, 661457943138804, 0, 1003876258691019, 0, -127247442502435, 0, 128859346446516, 0, -270628531650984, 0, 1239012625588706, 0, 268493906012409, 0, 2233483442238602, 0, 2939113288378987, 0, -1070767486073922, 0, -1777331104869390, 0, 1091119405826564, 0, 315884631114504, 0, -48046697389526, 0, 376133439675796, 0, -2252750849007204, 0, 177108679156897, 0, 703535433197520, 0, -2142729739407810, 0, -1060818188115972, 0, -1988229555314626, 0, 3429151273652706, 0, 1050227669939204, 0, 162385644449935, 0, -1898097049272900, 0, 2416055078464092, 0, 681962105563540, 0, -433772681690985, 0, 195677418812436, 0, 1893121554812392, 0, -452872396409850, 0, 1050730471041440, 0, -1005423610014244, 0, 238575687615678, 0, -2872625956882929, 0, -1272508116507433, 0, -1618979865718782, 0, 971152371367558, 0, 617018458651280, 0, 34816714887834, 0, 2149039337398964, 0, -223591666344319, 0, -2309034874185396, 0, -85144265586272, 0, -2823456405893598, 0, 3075872870606340, 0, 2226251461277760, 0, 1424751433358883, 0, 2692171243522530, 0, 1502893867216161, 0, -109582832273772, 0, 2433716663566356, 0, -2156415344618472, 0, 983147759944432, 0, 1298783030684580, 0, -669415237016806, 0, -1650363980768259, 0, 502122987073566, 0, 1325048858821203, 0, -282429720224470, 0, 2013254982917010, 0, 645004531930528, 0, -1195871910000230, 0, 989839392402588, 0, 2856356446893996, 0, 1990354238858554, 0, 55220196415860, 0, -140238456307863, 0, -693705498042069, 0, 758018637853344, 0, 1118624837803810, 0, -1712098618711095, 0, -72717780359763, 0, -1323672496554730, 0, 701116533118625, 0, 1505040176486142, 0, 161895687957992, 0, 1153639812033784, 0, 255480016564353, 0, -496462629912163, 0, 722702751488900, 0, 245997075429504, 0, 3656280208442620, 0, 776146703195842, 0, 46931596218180, 0, -1154635838560608, 0, -2895554830138864, 0, 1387121366953770, 0, 2882089207788648, 0, -317096790391379, 0, 3366043028944512, 0, -3687726137023140, 0, 846426093694036, 0, -236762624347776, 0, -1107674944552330, 0, -3356775573264820, 0, 2974540516735221, 0, -164184909018784, 0, -2716106177750076, 0, -2282911952093136, 0, 796761325833491, 0, -360659181427202, 0, 1442829196658493, 0, -1308865421131956, 0, 4102416772476552, 0, 132899834003244, 0, -782308749683962, 0, 859678822258048, 0, 2399275254303690, 0, 2672780715148428, 0, 1637329411197432, 0, 407409451701282, 0, 1505521600821583, 0, -604647070249094, 0, -1640134274461872, 0, 458834941892600, 0, -780224303714724, 0, -1463161663292154, 0, 2741645877831313, 0, -2131551220598732, 0, 125723295295848, 0, 3006413646144956, 0, -2611176666702100, 0, -1086674800549380, 0, -43572166670315, 0, -3240240196984406, 0, 309981127690416, 0, -565086522700645, 0, -687902787653152, 0, -1856424414108600, 0, 772399499709806, 0, 1453922162264806, 0, -1312734587816274, 0, 3424963207586184, 0, -852770638703647, 0, 1796745465415929, 0, -108028096839810, 0, 2454577656038527, 0, -52692260375403, 0, 423391435331254, 0, -568230725328811, 0, 1849638166767804, 0, 253538161114692, 0, -2691276560589330, 0, -1878352554039255, 0, -2041975949264416, 0, -5088245153292432, 0, -308273794425054, 0, -1364119798302956, 0, -370243087355922, 0, 3378849750274950, 0, 534542089837164, 0, -205419128995574, 0, 2623568582796084, 0, -3115703200327830, 0, -978569631512564, 0, -2717985171614751, 0, 826872222277080, 0, -508640610739990, 0, 609306943000581, 0, 1476029289248987, 0, -3348258942949430, 0, 3015981329060847, 0, 531731298317234, 0, -2432192845251750, 0, 500688799769142, 0, -637460928185013, 0, 2087744190532384, 0, 2039353222453491, 0, 5166839022550722, 0, 1811684800032292, 0, 299847346331610, 0, -3040427521669818, 0, -2475325478948333, 0, -37810038168324, 0, 4140557527157034, 0, -3692412582639686, 0, -1039995115875261, 0, 2389717505870520, 0, -4172647003073813, 0, 3051781480120422, 0, 1683612558526236, 0, 10478014340398, 0, -1504533124631880, 0, -3700078504664188, 0, -706135279775590, 0, 273051030456960, 0, -5760772008929130, 0, 320310279157384, 0, 4118834170964079, 0, 2196092813263016, 0, -370958984198532, 0, 126438608787120, 0, -1521219652114536, 0, -2651216223269296, 0, -4890940920356568, 0, -2359180909410302, 0, -1309060429469072, 0, -5862448008106662, 0, 2627850945749736, 0, -1311218582896799, 0, -402525870484095, 0, -6022741128047584, 0, 2404625822173833, 0, 1163504693937894, 0, 2641947610861028, 0, 1004893898449980, 0, -1656068603282268, 0, 3389969031279904, 0, -2598263867859164, 0, 3559885362844587, 0, 3958209956425924, 0, 4790810939111488, 0, 1695373411707990, 0, 500008972750161, 0, -792164489835422, 0, -2791976010301212, 0, 652682642489409, 0, -4912430680421226, 0, -123133684653522, 0, -3299668929543840, 0, -6049948828403040, 0, 1847278883584533, 0, -1076572320210928, 0, -2370714713680678, 0, 764564499885564, 0, -41969588790426, 0, -1476760873041790, 0, -59377594561758, 0, -3503635052538176, 0, 3839570848358900, 0, 33853867197318, 0, 2369125418004873, 0, -849644138568312, 0, 4128037900294560, 0, 815373381170978, 0, -3841386467919048, 0, 448343785842876, 0, -1052314406426860, 0, -675601876356657, 0, -2214257856560064, 0, -2742740741969830, 0, 163898336251324, 0, -7332977508316593, 0, -6848836164709311, 0, 4425742421235687, 0, -175997040607368, 0, 687868297532637, 0, 1544093121805773, 0, -5625929293763184, 0, -2908037917080845, 0, -626824293352496, 0, 2593981351852044, 0, -6265136756005676, 0, -3463460589057035, 0, 236728532192040, 0, 6138370226053241, 0, -1849352809275302, 0, -5457387517251537, 0, 679913368898104, 0, 3254742396316990, 0, 2617901377771932, 0, 2668663136486970, 0, 3109796538078314, 0, 640316927801502, 0, 1145436162541400, 0, -3009177732555032, 0, -2218832661264156, 0, -8175851713305872, 0, -2504497059986180, 0, 2314389566886474, 0, -1766569715210820, 0, -3144227403650536, 0, 845798726793708, 0, 1441660645283304, 0, 2885236623638664, 0, -1996696678565820, 0, 2348890853204403, 0, 440717073753456, 0, 2474366559949830, 0, 1578218670520047, 0, -485158029240995, 0, -168010206234084, 0, 3959916918120100, 0, -4235045431746240, 0, 55849397618196, 0, 4920018855857696, 0, -10917795746011752, 0, 702123155192172, 0, -2122918841210560, 0, -3154735711801380, 0, 1960084217631456, 0, -187510645513631, 0, -6527092832988294, 0, -2450390706505350, 0, -423284637971422, 0, -2297560800788554, 0, -2404390252377960, 0, -3732311453390664, 0, 8606060475678820, 0, -1508983091998272, 0, 3880049217096318, 0, 6473838951033696, 0, 1848747251611722, 0, 4228728038662820, 0, 1046676483984798, 0, -8394743920511592, 0, 2391638383889292, 0, -4897787753653676, 0, -1257773777565372, 0, 639001167148813, 0, 5177414827070360, 0, 10035213858844146, 0, 1228865327113322, 0, 1351903967494256, 0, -1709294813907408, 0, 2808234872975096, 0, -2600996541789572, 0, 6461181217869210, 0, -5270309098104448, 0, -2310746797642008, 0, -1436491902839301, 0, 4422233203171584, 0, -3123114814512244, 0, -427677915792288, 0, -1012517263412270, 0, -1342246408499102, 0, -1345050892309860, 0, -2805807498031660, 0, 168708368629056, 0, -5288777497160766, 0, -7395749646514961, 0, -3285660501691260, 0, -2833178532949233, 0, -7798661212779264, 0, 11285024866531088, 0, 242406293228154, 0, -3175158763192288, 0, -2548160162577681, 0, -3084142563264630, 0, 14508996128508344, 0, -36213619933846, 0, 8799760868897838, 0, -4936437430953523, 0, 497812113693465, 0, 2041917775819362, 0, 8791820381951019, 0, -280657328950482, 0, 3807541598798868, 0, 4129463680877656, 0, 2927354137212620, 0, -1521813275453520, 0, 3624085815045906, 0, 5789286011682460, 0, 1647314745693912, 0, 8663564428083717, 0, 2208373443928512, 0, 449759632944321, 0, 1997527063197842, 0, -3647041037505586, 0, 2177734342739340, 0, -3587841567536496, 0, -3562773332611234, 0, 279297975595626, 0, -8048039304149848, 0, -3927003173011692, 0, 2838885062471493, 0, 9523300357461240, 0, 4770956914477068, 0, 647685810660273, 0, 2432500138890558, 0, 11512687270149496, 0, -10315648781094258, 0, -1748564476772184, 0, -3239235421044980, 0, 8406757171349145, 0, 1793762121934704, 0, -261085491580076, 0, 53763379308030, 0, 366805666762161, 0, 828811388990024, 0, -621741394905120, 0, -2197544581012491, 0, 1045135096584216, 0, -3870479925088602, 0, 309254826267400, 0, -92102230485135, 0, 4370603419970760, 0, 2358559863689120, 0, -7223864307014024, 0, -291604415222286, 0, 2999241838105612, 0, -3894441384289008, 0, 4705249527069504, 0, -3127023966354672, 0, 12522844247664282, 0, -3788041689009018, 0, -1881086641764636, 0, -10273659622609176, 0, -1694095664519079, 0, 394548135638040, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "22.10.a.d", "char_is_minimal": false, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 0], [6, 9], [0, 0], [-212, -97], [0, 0], [3580, 330], [0, 0], [-1665, 189], [0, 0], [-14641, 0], [0, 0], [75402, -490], [0, 0], [-195078, -3363], [0, 0], [348442, -6412], [0, 0], [-274012, 36812], [0, 0], [680820, 37170], [0, 0], [-415046, -44659], [0, 0], [180617, 50537], [0, 0], [249534, -189297], [0, 0], [-1349406, -252246], [0, 0], [2725746, 367213], [0, 0], [-87846, -131769], [0, 0], [-7865180, -449230], [0, 0], [1127664, 403577], [0, 0], [-526608, 671268], [0, 0], [6599574, 228846], [0, 0], [8349464, 1121834], [0, 0], [-3716946, 103104], [0, 0], [-26986464, -2071176], [0, 0], [-3361407, 2471700], [0, 0], [-10720524, 3039798], [0, 0], [47131774, 2579204], [0, 0], [3103892, 1420177], [0, 0], [71906304, -1913928], [0, 0], [55451730, 8232723], [0, 0], [-50823782, 11223238], [0, 0], [7885440, 189540], [0, 0], [-5433564, -7162584], [0, 0], [150652850, -5360809], [0, 0], [-91718958, -4405299], [0, 0], [161279694, 393879], [0, 0], [-127189170, -1597174], [0, 0], [102056628, 2383608], [0, 0], [-52414780, -4831530], [0, 0], [10378372, -19867086], [0, 0], [-343946007, -4313736], [0, 0], [158970976, -40242910], [0, 0], [64206304, -31817566], [0, 0], [-512083944, -15928344], [0, 0], [689154740, -14637263], [0, 0], [234041760, 22966760], [0, 0], [750046050, 30039909], [0, 0], [-734619064, 15204256], [0, 0], [719083840, -39733637], [0, 0], [24377265, -2767149], [0, 0]]}