# Stored data for newform 49.26.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "49.26.a.b", "space_label": "49.26.a", "level": 49, "weight": 26, "hecke_orbit": 2, "hecke_orbit_code": 4503600063578161, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2237467892944981286, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-4411, 1]], [3, [0, 1]]], "qexp_display": "q+4411q^{2}-14097511q^{4}-210192720573q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33124, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 194.0384221765992, "hecke_ring_index": 1, "level_radical": 7, "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": 1, "is_self_dual": true, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.506", "prec": 17}, "analytic_rank_proved": true, "char_values": [49, 1, [3], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 2, "level_primes": [7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.043", "prec": 17}, {"__RealLiteral__": 0, "data": "1.001", "prec": 17}, {"__RealLiteral__": 0, "data": "0.073", "prec": 17}, {"__RealLiteral__": 0, "data": "3.012", "prec": 17}, {"__RealLiteral__": 0, "data": "0.111", "prec": 17}, {"__RealLiteral__": 0, "data": "10.032", "prec": 20}], "related_objects": [], "self_twist_discs": [-7], "cm_discs": [-7], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "25.2.1.d1", "atkin_lehner_eigenvals": [[7, -1]], "trace_display": [4411, 0, 0, 0], "traces": [0, 1, 4411, 0, -14097511, 0, 0, 0, -210192720573, -847288609443, 0, -9505269254876, 0, 0, 0, 0, -454126116228751, 0, -3737390056253073, 0, 0, 0, -41927742683258036, -95604060075370552, 0, -298023223876953125, 0, 0, 0, -3807195347450164318, 0, 0, 5049747050676708875, 0, 0, 0, 11944660491797396373, -25773142737840533286, 0, 0, 0, 0, 0, 301435695530660748948, 134000637878576213636, 0, -421709508992459504872, 0, 0, 0, -1314580440521240234375, 0, 0, -553594896014275110250, 0, 0, 0, 0, -16793538677602674806698, 0, 0, 0, 0, 0, 37512378126956684722057, 0, 0, -15003619703277941363036, 0, 0, 0, -36099127417258839104624, 178093897929338228170839, 0, -113685332616614592324546, 0, 0, 0, 0, -820380440578818957445432, 0, 717897987691852588770249, 0, 0, 0, 0, 1329632852985744563609628, 0, 1997938404461278985763948, 0, 0, 0, 1347779288557197185896072, 0, 0, 0, 0, 0, 0, 8053706369345186787394068, 4201385676860809326171875, 0, 0, 0, 0, 0, -2441907086318967511312750, -45815415861921465499800500, 0, 44101984072745099515744818, 0, 0, 0, 65221421331115501081660802, 0, 0, 53671978289827513424812498, 0, 0, 0, 0, -17996915826192773792054875, 0, 0, 0, 0, 0, 306797255388583764165083536, -3974294111126245620990573, 0, 0, 0, 0, 0, -66180966511158999352351796, 0, 0, 1022614802343903577411229750, 0, 0, 0, 0, -159233251037528739290496464, 0, 384775885531208630086695693, 0, 0, 0, 363337163251277034245251146, 619839294776198026188896182, 0, -2258330835765071994686625624, 0, 0, 0, 0, 0, 0, -3618698123393170421291800552, 0, 0, 0, 3166648023708761769065568339, 4354841176505578384626359500, 0, 0, 0, 0, 0, -7056410014866816666030739693, 0, 0, -4249493033536140745562668428, 0, 0, 0, 4316591010425391788938139876, 0, 0, -16577741285611882096938668636, 0, 0, 0, 0, 20095277485066667755968766296, 0, 0, 0, 0, 0, 0, 56761400982995560780905090248, 0, -69975020960427188675689240302, 0, 0, 0, 93177757882872786723901086214, 35524898795181618919195233948, 0, 62642312220633029937744140625, 0, 0, 0, 0, 0, 0, 81004231118365748777031322536, 0, 0, 0, 212490943745372955396042089748, 7804310136105099523775587750, 0, -202091799366935584319620005500, 0, 0, 0, 194533851744878633963950392198, 0, 0, 0, 0, 0, 0, 252511682940423488616943359375, 287691689491550475271205797622, 0, 0, 0, 0, 0, 800244747833418036536309114214, 746114411468607759914623721302, 0, 0, 0, 0, 0, 921359368896860674487985909136, 0, 0, -79384395709336325196754053625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 908742332875737787208632811552, 1353282693519042983732183477296, 0, -1276237152343433313885889924127, 0, 0, 0, 0, 3225793251818908960740076454874, 0, -2050755103469741845675976628448, 0, 0, 0, 0, 211513693806777514422755003396, 0, 0, 0, 0, 0, 4510753893138958679960934427250, 2832790987156629562377929687500, 0, -6620287611090010191291757830250, 0, 0, 0, 1591309866885743792301382814374, 0, 0, 508907845855208074124666990864, 0, 0, 0, -4278593156606759114846486906625, -5770627412348402378939569991057, 0, 0, 0, 0, 0, 0, 5417326989782959406417503492878, 0, 2734111129257809493519221058802, 0, 0, 0, -9961497316559732568562705627464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11565322285244746619595509519752, -11185505102138265193802708587714, 0, 36188416883424997313499622714568, 0, 0, 0, 0, -10120574778363756480567061750239, 0, 19209204429566106254586871754500, 0, 0, 0, 0, -55018486801173934301697218504124, 0, 21837290271320859344576495419698, 0, 0, 0, -74076822975020292968719743089250, -31125824575577528313861592785823, 0, 0, 0, 0, 0, -63359588921404079757685867707204, 0, 0, 49617703771176069589081024956964, 0, 0, 0, 0, -47999205385698079179839226224500, 0, 0, 0, 0, 0, -73124416810834011929596467353396, -142797708564502715128229240485432, 0, -93076495688256089536609610280499, 0, 0, 0, 0, 0, 0, 43416300497728220386837121140552, 0, 0, 0, 0, 148515045818156914242260994821302, 0, 0, 0, 0, 0, -341916308785515978147814220365932, 0, 0, 250374539735993418604572353083928, 0, 0, 0, -308659817456444329248465238972122, -255403031302657075947131845115964, 0, -413955315119120438842583294645318, 0, 0, 0, 0, 411007090021351862239127691289954, 0, -113537214132613833532342534964748, 0, 0, 0, 135340129205212295055389404296875, -148825230915633773294924443635874, 0, 0, 0, 0, 0, 244980661267526276436727695802536, 0, 0, 0, 0, 0, 0, 357309663463111317855485163706296, 0, 0, 0, 0, 0, 0, 1262367023568230092101729381914374, 937297552860840106251941657878428, 0, 116361617288567519667927018173250, 0, 0, 0, 645883329083012341019558046555500, 0, 0, -12022022595662004008078983169248, 0, 0, 0, 0, -621728205587348840619307244947998, 0, 0, 0, 0, 0, 0, 451854209005826199666690707399500, 0, 0, 0, 0, 0, 2630950711244645566260692514055682, 1113829033450208008289337158203125, 0, -919459704651035418769225054463822, 0, 0, 0, 0, 1310676439392508676915390733846714, 0, 0, 0, 0, 0, 4175455160898321332457925273919000, 1728946836861713368219701425906818, 0, 3291110668988028828983405234663122, 0, 0, 0, 0, 0, 0, -2865227449049752500564896060870448, 0, 0, 0, 469054649638677341241368016090750, 4064116176204052435166505845198896, 0, 0, 0, 0, 0, 253711718825826716654005312916125, 0, 0, -7637267851262003174098262335237464, 0, 0, 0, -8603634366383727790285577468053876, 0, 0, 0, 0, 0, 0, 0, -10549107105853714561762480017410364, 0, 0, 0, 0, 0, 0, 4008462430314879379377279331755872, 0, -4325077682610368889738670964678896, 0, 0, 0, -5496126897487098295445834500954661, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14228974033773207425824477242449214, 0, 0, 0, -9045880761405031281276732908084128, 0, 0, -1905631269024483909210852300905239, 0, 0, 0, 0, 0, 0, 3153651643874657501075304698939628, 0, 0, 0, 0, -29169285752037392669806534626855874, 0, 0, 0, 0, 0, -24130026261396638573339212422562036, -14416323424806006465494162924152250, 0, 12495441044347892999649047851562500, 0, 0, 0, -29202088652518034953787943789232750, 0, 0, 34014964096193592665486632552374286, 0, 0, 0, 0, 7019267822833015867841399594203714, 0, 0, 0, 0, 0, 7587773802145010345532597944229552, -30307508360721828051515114917803818, 0, 49703722883688268152209223696345124, 0, 0, 0, 28492230199387834072113037109375000, -31783810700089138311645038480584251, 0, -25454237515868802893502443230552427, 0, 0, 0, 0, 5262068544740765479465290250079000, 0, 0, 0, 0, 0, 0, 0, 0, 11704257214544759782963657005705786, 0, 0, 0, -8738191276339694212376252003603002, 0, 0, -89887415894272686193464798844473568, 0, 0, 0, 12712396075001963206422464480748948, 31836843798837295860886646287221864, 0, 0, 0, 0, 0, 0, 0, 0, -16915258842830142724845642259280198, 0, 0, 0, -141122123591711359660998239356493786, 0, 0, 0, 0, 0, 0, 0, 88817841970012523233890533447265625, 0, 0, 0, 0, 0, 193994510047761344132292567259455376, 172437996710138323504682866271272536, 0, -49339263005531887769863747580406454, 0, 0, 0, 159627106872787663149846835793959448, 30586379471474917823757340151364432, 0, -51840287021701040404204245909553874, 0, 0, 0, 0, 0, 0, -150896931126832564420091625752632677, 0, 0, 0, -61392421389040332838632333941204500, 147867430500570998282659901672551250, 0, 0, 0, 0, 0, 195235334479294410307144398725092364, 0, 0, -242686545279978224204786430821690964, 0, 0, 0, 96324287386796310568926921296287878, 363983332716296771377081757138363536, 0, 0, 0, 0, 0, 130110668833789934910330577366590750, -326752866142814512285022786766681750, 0, 99477817805095111484351679160204123, 0, 0, 0, 0, 0, 0, 442615332385927281126692810968667948, 0, 0, 0, 0, -136889821704051241621740502950603948, 0, 0, 0, 0, 0, 218863691334657642957436401085168204, 0, 0, 0, 0, 0, 0, 604070350724041067807664436796580002, 0, 0, -356565254487444327117553993551999932, 0, 0, 0, 0, -269399078824319520325600051860878886, 0, 695099002712263204493187070832414376, 0, 0, 0, 0, 233704890129067649592295947421364996, 0, -629880692478021476430619179781240552, 0, 0, 0, -410560422480897610945984990947281089, 0, 0, 1134632631376434659361839294433593750, 0, 0, 0, -608266787713357709119683992618861307, 0, 0, 0, 0, 0, 0, -482776320398321338557908021452049000, 142613445077419589914552419529163536, 0, -623053036888389800179384761241166932, 0, 0, 0, -1519653301656671944730237177172001000, 0, 0, 655099867103890148722613248156763122, 0, 0, 0, 0, -1763447851340310090244973700281731248, 0, 0, 0, 0, 0, -244547388641372357799684658368128214, -1508192838052910979610008526034126052, 0, 0, 0, 0, 0, -800194474733190731059978099727172728, 0, 0, 0, 0, 0, 0, 0, 986473627714852857054604497739088322, 0, -1126582771076020362002798568806517204, 0, 0, 0, -1825956894990440255734634912680497698, 0, 0, 343131925967121707918434139486146624, 0, 0, 0, 0, 0, 0, -1313574466709135822440849525813813354, 0, 0, 0, -1692830452468763179385212893961760964, 0, 0, 0, 0, 0, 0, 0, -1504941895805808566510677337646484375, 0, -656468093568860574003911720877840214, 0, 0, 0, 0, 0, 0, 2380356743533326180376298761945014682, 0, 0, 0, 0, 1080609696851058405362405866184986296, 0, 0, 0, 0, 0, 0, -2219349010119948793856172086292359498, 0, 4397409498562547426275915525481291552, 0, 0, 0, 1253169775276577221347102998358637964, -1141958039237703445407435616795807896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10864374290018918739759676353726074375, 5568300940959462936260728303624303714, 0, -2995593416850776437798212716685417228, 0, 0, 0, 251401900091022022431465734744797750, 0, 0, 2464017086639606609632573441740193872, 0, 0, 0, 0, 9630066904200650548670226283745686500, 0, 0, 0, 0, 0, -53029141669465099679636394759552928, -2703980169825556758472672278590410552, 0, 0, 0, 0, 0, 7797936979135475065785444579069926432, 0, 0, -9269916014917407207568028143846740714, 0, 0, 0, 0, -78875310712250935165543241057848750, 0, 0, 0, 0, 0, 12446003673288268784829167917822428948, 0, 0, 1993128915924699366729772710339194500, 0, 0, 0, 0, -6823813670544715475556216357386984124, 0, 0, 0, 0, 0, 0, 11605123587300131592775914679499613302, 0, -3559786227881132475435733795166015625, 0, 0, 0, -13709067989225062229246408209553079546, 0, 0, -10973186880187618810542409898167798500, 0, 0, 0, 8101546230462872548027394835663615376, 0, 0, 5781393774160355773873788526997855454, 0, 0, 0, 0, 16500834815120076010413775214063364432, 0, 0, 0, 0, 0, 7680995088172117854952812194824218750, 18417932714722495397471908383256709000, 0, -19225373477136555167313996714198922250, 0, 0, 0, -10518356122937224050081766971915879322, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12638518277758458279991756524499546128, -29233936127041769547369825576783720500, 0, 0, 0, 0, 0, -27009039232090067119206336542402919302, 2069000059556205752215674318976298250, 0, -12988873837976551224061800721889760496, 0, 0, 0, 0, -19232792489931358333837313998767870751, 0, 38818879996700203797398664638916121500, 0, 0, 0, 40856146324768477209780297115743839000, 3782820699430739136105187948357443375, 0, 0, 0, 0, 0, -33687988491916696000947435160732453704, 0, 0, 45788823484107683149994451222676314286, 0, 0, 0, -37367108758673529124488079527653116374, -37950631190118623282949682211585647036, 0, 0, 0, 0, 0, 0, -28818476344374396846719362452944179296, 0, 19495063554099393913051091886284414376, 0, 0, 0, 0, 0, 0, -46532111443920734931934299356797115604, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50109592707341011363129944245299255682, 0, 0, -12811005033881375088289360355815247072, 0, 0, 0, -64486549774455905675355934325650786128, -55261367385536870979502543315580153286, 0, 77834525282807568495732628317223233068, 0, 0, 0, 0, 18579996999365783196107173234893571193, 0, 0, 0, 0, 0, 0, -43718298534821384338094739480436093376, 0, 65619233268489478220312456132609309750, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -45475655851242839082031795963427218614, 0, 0, 0, 0, 0, 0, -23720350629227343064732840053740533876, 28910542629470823836577382955288592928, 0, 0, 0, 0, 0, -8405739527666998523529069499293009229, 0, 0, -18259060387061627094878038684914780998, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6813535545222776990415817012911848036, 98123389120675468377754456701448488948, 0, -89834837773639186903238296508789062500, 0, 0, 0, 0, 0, 0, -128665719452236939066516624239061260214, 0, 0, 0, 0, 175679126613103741052282155866017318464, 0, 15248581784637594783125229080299184625, 0, 0, 0, 192015399273042565969012771749115100698, -106437545839020572746999265995921140796, 0, -214946187402885750096853689554054646750, 0, 0, 0, -39935302102141443978548049926757812500, 0, 0, 49016126791945862139785436538571552, 0, 0, 0, 0, 93329577420505140661847660221285507750, 0, 0, 0, 0, 0, 150040006628309937247461536188522975546, 0, 0, 169571695177510496258970238971334685214, 0, 0, 0, 0, 0, 0, -22433508352830308855150459540848423114, 0, 0, 0, 0, 255086694489357244109303001239729636182, 0, 0, 0, 0, 0, 0, 16393556533246579465077191464405844624, 0, -133686419379143983535233171902432641198, 0, 0, 0, 219243121639948950819394885724578341964, -259945819899122076156560283111373430448, 0, 0, 0, 0, 0, 0, 125679227409499736092090606689453125000, 0, 3367374130933660366830370609381780839, 0, 0, 0, 81351483422483138369526756284195959127, 0, 0, 0, 0, 0, 0, 151287311895474737570874743967209169052, 0, 0, 23210984350851516529921395293098469000, 0, 0, 0, 0, 436031534243556455999563100843862855876, 0, 0, 0, 0, 0, 435487863791680319672918639561652238000, 0, 0, 0, 0, 0, 0, -130147851527080070758743793509369113250, 0, 0, 535298586847929416015148726587168076964, 0, 0, 0, 0, -130285707687058770290036791298432552286, 0, 0, 0, 0, 0, -396493391509636818799373227702972908448, -419201233285695031853904214621018232568, 0, -59582987278895385716680737367898866626, 0, 0, 0, 0, 56074379086833659703529490824583609628, 0, 474684702323357332452393640485693762552, 0, 0, 0, 0, -524445188048701074756346432123192422302, 0, 0, 0, 0, 0, 52925919695967271393826129939403358000, 0, 0, 0, 0, 0, 0, -74613206755723759559294128005684953378, 0, 0, -681799013966926306394110340718487760114, 0, 0, 0, -866449873873794359173233960650092529250, -622489687163038807464663233801494090046, 0, 0, 0, 0, 0, 0, 0, 0, -619947170937965891040371343455116570552, 0, 0, 0, -1147624577579735893529776289095545637464, 0, 0, 391775500929725239984691143035888671875, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 855709783820675288967542514181457663536, 0, 372556183310090691174708731436712015432, 0, 0, 0, 157687781217950317090550816145092579854, 0, 0, 0, 0, 0, 0, 0, -510166605086669617302031379714472240248, 0, 134916519848675862520593627407668509552, 0, 0, 0, -228667506052723289222944928707042138214, -1012722676010087238681303590487043080500, 0, 0, 0, 0, 0, -1508524541140978585170463482885746514182, 0, 0, 0, 0, 0, 0, -326016224998936703565277366256667228999, 445238860660605877094906991919077352286, 0, 0, 0, 0, 0, -449934747331098267926758972044653267448, -915355914553031609975517101393743993500, 0, 652243235938018673424812826277623563750, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 861183060388167643864813942776382417604, 0, 0, 0, 0, 0, 775623722882904351731453856531291635364, 164984135632000896409153938293457031250, 0, -1865232818680259948437502421397871077464, 0, 0, 0, 1200933503578419091865714389886199374376, -307851439810138799139619934520642171678, 0, 1605530480611585058544307630737321557296, 0, 0, 0, 0, 0, 0, -525182774149054599503991142893871846626, 0, 0, 0, 0, 573918160225847402889468176764031798250, 0, 1044298826735401305349749234117875856750, 0, 0, 0, 1483206018503419571293018729319248804089, 0, 0, 0, 0, 0, 0, 1913457993497635861406813309508892167432, 0, 0, 0, 0, 0, 0, 1952376231154325237049841989182794318628, 2684409496200833975403725010017291558464, 0, -939149626529051504433244551314141753761, 0, 0, 0, 2077767685819411342960560809046639760802, 0, 0, 1522174014474636511958349566827258513500, 0, 0, 0, 0, -3221012203520421643606461055355398905126, 0, 0, 0, 0, 0, 0, -699486124708896123968835229222074516604, 0, 0, 0, 0, 0, 0, 0, 0, -2916190519125445471842354892491015321536, 0, 0, 0, 0, 2664554317043745150099607830709714388822, 0, 0, 0, 0, 0, 37776735624323043455000421724730283948, 3421506778881036591686984157245660282818, 0, 0, 0, 0, 0, 0, 0, 0, -1188319336694073404156221828758336766146, 0, 0, 0, 3066081700963792995019448169441779812536, 5197103923047713719181447413071835209552, 0, 0, 0, 0, 0, -4725104030487271786996056411035937862614, 0, 0, 3484520541778104118930450875325387048428, 0, 0, 0, 2013092267262871236050078128265022959752, 0, 0, -5944882712589518357210846497059159993568, 0, 0, 0, 0, 1312146921806642793059338883635047737989, 0, 0, 0, 0, 0, 5004864537001453282445073127746582031250, 1103146224234431557381640622723137623124, 0, -2150657738825641124829774358191899620302, 0, 0, 0, 0, -2683064800603620854926926091441797225177, 0, 0, 0, 0, 0, 0, 0, 0, -3689807324786529631442506349878412758500, 0, 0, 0, -6403524892547416579257287377080247168248, -3586335652019583149830072159011402665464, 0, 629067906236497811113090722543140357296, 0, 0, 0, -2748286945714687408591266181834787337052, 0, 0, 6655313178560438394655141544064863716874, 0, 0, 0, 0, -6703190713607579948205076188505696411000, 0, 0, 0, 0, 0, -2093692492086971098256331039364247979322, 7619900031061279685029136221033611941302, 0, 0, 0, 0, 0, -9919840486166044359142716489436075476068, 0, 0, -7778568472262107808070578991942716534928, 0, 0, 0, 0, -9720229040300604375560830590817343761000, 0, 0, 0, 0, 0, 0, -1078698531297093470254409028061813551954, 0, 4820168924183208142614570597565150395252, 0, 0, 0, 0, 5978815829156164049805202768774674720999, 0, 7073228897650059209736469551373790987948, 0, 0, 0, 0, -11930833296150793431720221308531211272104, 0, 0, 0, 0, 0, 0, 0, 0, 2107643912477705714134259080020066059500, 0, 0, 0, 1434406959460197601782310176115655715872, 0, 0, 14708240027824890160021098404980936133046, 0, 0, 0, 3600547043222552457392526604972598765604, -14625217415461302867186196007556500393682, 0, 0, 0, 0, 0, 0, 5835739608400266696908145264678611603498, 0, 0, 0, 0, 0, 1513554925440973853628212989273392758464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19585286426293327722362765115070484480622, 0, 0, 18168512309702658449404074400811500611364, 0, 0, 0, -11141051894687640637446481050145296961000, -3657398394757484524747866685083068449068, 0, 0, 0, 0, 0, 0, -7768945207191959178242208383740483483128, 0, 0, 0, 0, 0, -4254220514836548047392177560902724869250, 0, 0, -11179559864686931586878597736358642578125, 0, 0, 0, 2098065329910687190996703588325613709614, 0, 0, 1909761388413118825455929780767588798000, 0, 0, 0, 14046131361591902685313231475852197529748, 0, 0, 0, 0, 0, 0, 10499753595725501781639853838939459762302, 12992933960107823852738442798955702129364, 0, -20144290432246957052309495465589812983126, 0, 0, 0, 0, 0, 0, -3453617567006225624855809495580905087896, 0, 0, 0, 0, 3451223146268070249445952203634696632448, 0, 0, 0, 0, 0, -5891739391600217131572751145904061283432, 0, 0, -9789548483639094129699575072635597745678, 0, 0, 0, 19396973298159396697303063382897977035872, 0, 0, 0, 0, 0, 0, 0, 5527731878744982123362071325759952059204, 0, -17026499716693363121104461258278085733128, 0, 0, 0, 0, 21466042660536160210321436976161248542624, 0, -6704485649242474794510226158522562562000, 0, 0, 0, 37453924318790272024885987658765418397964, 0, 0, 0, 0, 0, 0, 0, 4471427113794666934918165206909179687500, 0, 0, 0, 0, 0, -20873554875923477449109855954682643681001, 47922754993273450561079932396285714068125, 0, -17796233000790382973935143080561088523114, 0, 0, 0, -44664049562964239675231467520548351985604, 0, 0, 0, 0, 0, 0, 0, -2795514193417765075160924356297778468750, 0, 0, 0, 0, 0, 10868779369167304755089281451515995169392, 0, 0, 0, 0, 0, 0, 51206437400860221123013057480241105042318, 0, 0, 20805976868779509618282796994402864175500, 0, 0, 0, 0, 0, 0, -48093288508918841982695061103188340011864, 0, 0, 0, 51563262563583479314261696720614261489052, 169480595784593653785937554097288541728, 0, -11927256529100530861622957420862300944872, 0, 0, 0, 0, 0, 0, 40170228877659830133598157006542715919802, 0, 0, 0, 59289038205305131024274533115078653371786, 34396700014966580515179596038277445491552, 0, 0, 0, 0, 0, -20027862744937966459743189304793030862318, 0, 0, 62064984442288883824143287110217379961500, 0, 0, 0, 0, 0, 0, -347918995551738875015211236306170836250, 0, 0, 0, 0, -33795018604599350721468574537863275195568, 0, 0, 0, 0, 0, 0, 54899322202874553609881459685514734089628, 0, 0, 0, 0, 0, -6370019681855933913889368581162232644500, -78948452907595815129360462910537317518802, 0, 10758378332036387653536796569824218750000, 0, 0, 0, 0, 0, 0, -30099842100772739962678470352433986970964, 0, 0, 0, 0, -30055783838564765751468969660067172965036, 0, 34035509705735037838505138095761253219614, 0, 0, 0, -41393937944906502249494807898233503922000, 0, 0, -37089856592229214561461341584517631607502, 0, 0, 0, -53076117613714405349147021770477294921875, -96913900228077166289025195809811025485126, 0, 0, 0, 0, 0, 0, -29618750764018497804522420829636022118302, 0, 0, 0, 0, 0, -48402727328507586573302570060818159183500, 0, 0, 78431700925756368993179311984646719718464, 0, 0, 0, 0, 35735920422571730809348838620112207423536, 0, 0, 0, 0, 0, -18477275521776724390410166939702122928854, 0, 0, -18874441575602952496750821711559815809248, 0, 0, 0, 0, 0, 0, 72785182369494655281935162469233500509552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22202278521551170624895671642956712256261, 33880869333927211858196854591369628906250, 0, -58863525060770854865860258586251115609000, 0, 0, 0, -142816951476740799460440972062224808962126, 0, 0, 67073077164112650533500107622193226993068, 0, 0, 0, -68633962343279504019970347129182668307448, -156827818005309417441073974188068713746046, 0, 0, 0, 0, 0, 0, 146704426552642655259450439065535823746624, 0, -139634216207886723611468175906787346440302, 0, 0, 0, -165167180798262758184502197551011177864714, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40392575480480825423991128431977810254928, 0, -128950892256381245473448300619192991125500, 0, 0, 0, 0, -180041156245247789642931765568482726290364, 0, 188412461566261317569314773730496552986126, 0, 0, 0, 0, -119136872052749286062819150488539277041122, 0, -6612503082882399843600939261887525123250, 0, 0, 0, -193663032373853463009565532044584615854928, 15223900223145539959279420384416198041302, 0, 0, 0, 0, 0, 0, 0, 0, -84835847673087221610556392048565077882661, 0, 0, 0, 171230079665444598950325509722259011936500, 0, 0, 0, 0, 0, 0, 235005647906357824180289827099493209517198, 180216461438553752972340890577546073829000, 0, 8172869488244667921609895240321844711125, 0, 0, 0, 0, 0, 0, 57121711129231393236346973831627091349448, 0, 0, 0, 0, 107666467543112453628885168351895836352104, 0, 0, 0, 0, 0, 201974500388398990374625524343225222315546, 0, 0, 0, 0, 0, 0, 14267880273915899743119368715576444781500, -164826316734508936968116918796477896325714, 0, 121289830120072632744556621497241665502636, 0, 0, 0, 0, 157575894557415156839300183226383191269136, 0, 0, 0, 0, 0, 244492423706894802285859584808349609375000, 0, 0, -127118299155035464490879107779936774874656, 0, 0, 0, 85992725337132426550468366310400551812536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 148716153464950905425306741432722798004004, 273722172824965597258156524283519760551250, 0, -90274622313940261011166206225137465603432, 0, 0, 0, -152247169130023729616586115424887844030948, 0, 0, 0, 0, 0, 0, 0, -55910649023966857284762083762383846216876, 0, 0, 0, 0, 0, 321855008186470524198036374179131260670750, 221033413432081201122766184066015016813302, 0, 0, 0, 0, 0, -191011023247006104237961490211908902459296, -213950272706703123083784878253936767578125, 0, 388207322485134764107519967781588454236964, 0, 0, 0, 0, -139324646059257794528343293655753199943536, 0, -243757891537603137890585718565024056144546, 0, 0, 0, 343328091022464184634676623507271681062948, 372214303144870503355796714219248231834568, 0, 0, 0, 0, 0, 0, 0, 0, 266375783009304280309881904584652650139875, 0, 0, 0, 0, 496302880046796632312879428770940502007750, 0, 0, 0, 0, 0, 137436429949998518807931565719532793606432, 0, 0, -192841414837097126315335895848203607881536, 0, 0, 0, 289446437947307088429798244000939665307250, 0, 0, -549858408393467286715417154697997921836886, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 73276299571912498931888133608316955004126, 0, -483866892407112521762771412603565147558500, 0, 0, 0, -593748903473737463042074299797361585636464, -678038259605840955182564717561987125922802, 0, 0, 0, 0, 0, 0, 0, 0, -632174242178619000345260729222553557454786, 0, 0, 0, -539532399627356067970329495870482494049248, -104630466625521810258536557477049494927036, 0, 431053794427269150528615843762249106660704, 0, 0, 0, 0, 0, 0, 377740259905770249812964753995647189892248, 0, 0, 0, 0, 26864657777016621179422991631386916760129, 0, 0, 0, 0, 0, -80540715367328837115507028639159098982178, 665131415344452225586020130381122049212552, 0, 0, 0, 0, 0, -635895944462333060299730061460239722697682, 0, 0, 0, 0, 0, 0, 0, -732480024081745705169971171533745896932250, 0, 0, 0, 0, 0, -241994722362566802669066050351086355507448, -75764484346102742338397069555896058144500, 0, 432822269411299491014274908510089284749628, 0, 0, 0, -396261469419522453430184125900268554687500, -780657298469901145775036646961619589571248, 0, 829568227156138264222661254468071826299802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 411214326751490415573916989773981579129614, 0, 0, -885679677242350548745392942897274815879464, 0, 0, 0, 0, 0, 0, 774920627490400601781616589525002391744704, 0, 0, 0, 67261494252036430588365385473199703380875, -456312696521553729618535215336959113952068, 0, 0, 0, 0, 0, 0, 846979926193390758489315336185346709178878, 0, 340173310650327987650673853858404950692396, 0, 0, 0, -464396088586468786539237388387547216542250, 0, 0, 0, 0, 0, 0, 0, -595432044405126269389375448226928710937500, 0, 0, 0, 0, 0, 216210135279273197898593560571639115872, -145133716942440595282943976577438041561536, 0, -634521655111682889954832468816559036741807, 0, 0, 0, -1015290049231816905769474627984459333059302, 0, 0, 1391536263950736208089910731531723016733250, 0, 0, 0, 0, -940279535137034277980875077614612817538002, 0, 0, 0, 0, 0, 0, -479526330510694230731217122760054573002146, 0, 0, 0, 0, 0, 747980747427998798998317724102557296478954, 0, 0, 1401014609613027729825606883300566060830786, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -334481750195372970652473906503218509916302, 0, 0, -1501665077532014965632259683023032817431252, 0, 0, 0, 0, 0, 0, 1125187409392554803766135538468447425198802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 888973225039101639526552624492884773515682, 0, 0, -182291462207305541758014569953496114338000, 0, 0, 0, 427260432497867938896342899220003420096998, -769967027564271693036692327425077546685536, 0, -166873262522286829912135783854580271517000, 0, 0, 0, 0, -700698780093747080846719205360686045386364, 0, -1146621011575027477926587408804268201706128, 0, 0, 0, 0, 3123348596510795523075343278028797918495376, 0, -1016637564374567022572692141803742712550250, 0, 0, 0, 880433193611996912534515090813319285995286, 0, 0, -401669528650402184097788333892822265625000, 0, 0, 0, 1081341202128561761294777016592130605731261, 0, 0, 0, 0, 0, 0, -430558058775143931146440271152297709057376, 1212943875214641790959413495183020109915661, 0, 0, 0, 0, 0, 0, 0, 0, -2019783634522479224410058977898505878611248, 0, 0, 0, 0, 667328332770939067425128495639359644688372, 0, 0, 0, 0, 0, -74182069192236933495182203418681453369000, 2486206412163677461642569108298147085177698, 0, 0, 0, 0, 0, -1551195796926557373329757493827298013796068, 0, 0, 1923335097548327527414072837822279057269036, 0, 0, 0, 0, -249048549444382621597474178875046883755964, 0, -2733177878684256503798871659611696599775182, 0, 0, 0, 0, 1920936967185101890077244119106448021818000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1737581439927013152848986539868673395234464, -966811875901901745210607660639105566889302, 0, 0, 0, 0, 0, 2361202066586216654042821032975998387488204, 0, 0, 1381101800887117485751125213050872043528714, 0, 0, 0, 610365405637747027685882158801271318457998, 0, 0, -281485211622682757399379780147625302528682, 0, 0, 0, 0, -1930624921032747087519597947354039968863818, 0, 0, 0, 0, 0, 0, 1267188834331084030611918129822753414089248, 0, -1849096640023200785507571490693311423857448, 0, 0, 0, -262820556887207546396278732529801900687286, 0, 0, 0, 0, 0, 0, 0, 0, 0, -179213143503697001324135963664467582668428, 0, 0, 0, 1025567011605621470419505915629756682115624, 2720820349828924037540696517505256256451250, 0, 0, 0, 0, 0, 3467237730353269625348432664409639877279000, 0, 0, -2313327724482820440750244112095401774774122, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1602390586693422735395967745031576007713786, 233456231778911634118167059162708212138000, 0, 0, 0, 0, 0, 0, 0, 0, 4559234178524578895817299430704532213118000, 0, 0, 0, 0, 238463047604645208195081415052267443387178, 0, 0, 0, 0, 0, -3007415450608111937504420712909249509862854, -4797138208724009777609393247155563079312068, 0, 4380139770441224686553433625398919574876000, 0, 0, 0, 0, -3821910393657306918313135000427558146521750, 0, 1989470689677510401645878950308804069566646, 0, 0, 0, 0, 22208886027680712663643139130253580427750, 0, -2400191536350603934345861673355102539062500, 0, 0, 0, 386690432196859011304133716694719968016296, 0, 0, 0, 0, 0, 0, -2734586971007367545379077995980519192704872, 0, 0, 0, 0, 0, 0, 5609294284113175120488291919899629341050750, -5062172011704215026359843211200451806853704, 0, 0, 0, 0, 0, -1252110504168513216427527368068695068359375, 0, 0, 5968036900377651941195542398197648883351448, 0, 0, 0, -4216328734733757742667244830557699623799536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6606749093914368344299106298224688780496374, 0, 0, -2734839739337926074279779922158412017169136, 0, 0, 0, -4142713710245750047860242703497171162609000, -1348298724306547290739808053556964252533682, 0, 5828682157408935029639044969752519149865124, 0, 0, 0, 0, 2351111748401614200691944417467916262840122, 0, 0, 0, 0, 0, 0, 6752554946939018292115901474880760632949448, 0, 0, 0, 0, 0, 2587137998355827702603699690997683259760886, 0, 0, -7606541797956985975519701877984115360407464, 0, 0, 0, -431191821049291840244515164114601745128752, -5951710147511234037249364318955528584747714, 0, 0, 0, 0, 0, -7092018375952458550948786920756175828568552, 730819016531587655809713802956640743807614, 0, -4467119723880494809823230137638347028085500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6654101750972856539186914423009027874056802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6710326798563145300048741631901978802304624, 3625203246033676858793145427528002834259875, 0, 1963948614373932523865634741355050200933546, 0, 0, 0, 0, -6235432683141020760291914306337491723502704, 0, 4889386875822335218694341406651057475751251, 0, 0, 0, 0, -1984662170477474459824933825688965562713128, 0, -1977647110279523038110750312016366361984500, 0, 0, 0, -2084562728023535154570779073087709644938750, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 930387963636504735708152893861042908514464, 0, -8757768881867284473486004605347134160947136, 0, 0, 0, 7272179598856010473961023114492930212200698, 0, 0, -2752332275410532221543481539615375577506004, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11884327327629555124362250168760700136354464, 11564485422548441381047703328688660980143052, 0, 727745022272755954060778021812438964843750, 0, 0, 0, -8227541963198626632557823180786009322693704, 0, 0, 5170615911148227884355860874703115082650786, 0, 0, 0, 0, 5297317684284406614219666173788025440372536, 0, -4590039452071236743840803224776196074046954, 0, 0, 0, -5131259036784653613752895219157408470758896, 0, 0, 5618877706964988234149191518321658879934376, 0, 0, 0, 13654057938433130234420448541641235351562500, 0, 0, 0, 0, 0, 0, -2316581216771479838412104931304868715467286, 11691542120161514274173442304388689203253052, 0, 0, 0, 0, 0, 10693694208603124638141923337301759089542318, 0, 0, -1834236585101710779087669328061864130623250, 0, 0, 0, 15570408952524026998978705588707073050140250, 0, 0, -7942129842433951892425872704978593290206932, 0, 0, 0, 0, 3204500074569130557139408132560320123513443, 0, 0, 0, 0, 0, 0, -4848313737687193941043311074816070376547624, 0, 6492265256756375279092308309544130800363302, 0, 0, 0, 0, 8440263209318071784665453508243723350542552, 0, 0, 0, 0, 0, 0, -13143415472729533766432052254676818847656250, 0, 0, 0, 0, 0, 16347088478324329479769039352030038958788252, -6239774517079266090883644296251717052277428, 0, 11840930287741878665505831019186273064384704, 0, 0, 0, -4142589002619646186055041715846679275839771, 0, 0, 13132707088045992821309164802009505804136874, 0, 0, 0, 0, 9165033262149423433799033728704727984897622, 0, 0, 0, 0, 0, 11307569791708333165760541367176876835146036, 1867791930629004440334886416531165164597698, 0, 0, 0, 0, 0, 0, 0, 0, -14207884829728579869948099715172664570510786, 0, 0, 0, 0, 16931332218948150048705343197126594119960536, 0, 0, 0, 0, 0, 0, 0, 0, -10429280144248699926722110810635573402420372, 0, 0, 0, 0, 0, 0, 1720578221818720997299727211910809143041000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12863316379862339976296627430777868583295296, 0, 0, -23480323344028462862816774673028268688905714, 0, 0, 0, 11232549051097043742896011723863839950320002, 0, 0, -8515888414106026917870295282048591340575022, 0, 0, 0, 0, -12484304174717463370994112919679346574398193, 0, 0, 0, 0, 0, 0, 12130977766100534472731728343196805464793252, 0, 15092266401644252405931287117610607507510198, 0, 0, 0, 0, 0, 0, -19437498250936121070879936814308166503906250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3797856477115711505304870312709310565052746, -22985607916484878883245642459407763112764214, 0, 0, 0, 0, 0, -25248697565575333247624807719432119320997500, -9799165836825160360237954156117740822218136, 0, 22924425404563465215309364539059865109333872, 0, 0, 0, 0, 22696123868295830625988486698566183875815876, 0, 9477351063908312401977463860571149454183302, 0, 0, 0, -31034474015355697376046820044769833079684714, -20842433878479355852439604829079521911990354, 0, 0, 0, 0, 0, 7528385265879945596957696719434515165153636, 0, 0, 0, 0, 0, 0, -30662033419100749808941106061731457618465624, 30015038854763208147647708609642427253192536, 0, 0, 0, 0, 0, -26222877645232365473657043898527954731628448, -34744495744046900195168775733637549009933864, 0, -4522626540735112101608445864336311723086128, 0, 0, 0, 0, 0, 0, 19564001850115651545634252867475354458005927, 0, 0, 0, 0, 19492979434290987355660567349621511664312448, 0, 0, 0, 0, 0, 0, -15995496001788232751134782433509826660156250, 0, 4865977995098077599610416786831760055599964, 0, 0, 0, -9486551285959903001624134693984469225152122, 0, 0, -38366275145352732619613925156771445942823614, 0, 0, 0, 0, 0, 0, 8575047730723725151249545402468316082906877, 0, 0, 0, 0, -29331063235128963994987029084116325234431872, 0, 21143782194370404956612490264928087124649552, 0, 0, 0, 1782399932400359528483832180545971289279000, 0, 0, 0, 0, 0, 0, -16275740109633382204292895509313678677743500, 0, 0, 0, 0, 0, 0, 0, -28245948301026654531103894620300970259141928, 0, 379958652957304994889854474668022273806296, 0, 0, 0, -2010494610726818520435891794388997769558896, 0, 0, 0, 0, 0, 0, 0, 8783497041117480980316678644829724476706252, 0, 0, 0, 0, 0, 29356586430630093758823829350870113855131214, 1724457818050532412367323447795075780613052, 0, 0, 0, 0, 0, 13170730431733390624618125716468374301480614, 0, 0, 21423329136291250964225910637791232989511000, 0, 0, 0, 0, 0, 0, 46616537175424712014462475501180152520842932, 0, 0, 0, 0, -31216781526542148445191489312210931354046046, 0, 33611379037011304690663519870979262273083122, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18502487307990603096946011187898177091008214, -43756416384478421668178522434902528924935948, 0, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": true, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "49.26.a.b", "char_is_minimal": true, "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], [1], [4411], [0], [-14097511], [0], [0], [0], [-210192720573], [-847288609443], [0], [-9505269254876], [0], [0], [0], [0], [-454126116228751], [0], [-3737390056253073], [0], [0], [0], [-41927742683258036], [-95604060075370552], [0], [-298023223876953125], [0], [0], [0], [-3807195347450164318], [0], [0], [5049747050676708875], [0], [0], [0], [11944660491797396373], [-25773142737840533286], [0], [0], [0], [0], [0], [301435695530660748948], [134000637878576213636], [0], [-421709508992459504872], [0], [0], [0], [-1314580440521240234375], [0], [0], [-553594896014275110250], [0], [0], [0], [0], [-16793538677602674806698], [0], [0], [0], [0], [0], [37512378126956684722057], [0], [0], [-15003619703277941363036], [0], [0], [0], [-36099127417258839104624], [178093897929338228170839], [0], [-113685332616614592324546], [0], [0], [0], [0], [-820380440578818957445432], [0], [717897987691852588770249], [0], [0], [0], [0], [1329632852985744563609628], [0], [1997938404461278985763948], [0], [0], [0], [1347779288557197185896072], [0], [0], [0], [0], [0], [0], [8053706369345186787394068], [4201385676860809326171875]]}