Database - mf_hecke_cc (Hecke eignvalues of embedded newforms)

Formats: - HTML - YAML - JSON - 2026-04-28T15:42:01.961025

Query: /api/mf_hecke_cc/?_offset=0

Column	Type
an_normalized	double precision[]
angles	double precision[]
char_orbit_index	smallint
conrey_index	integer
dual_conrey_index	integer
dual_embedding_index	integer
dual_embedding_m	integer
embedding_index	integer
embedding_m	integer
embedding_root_imag	double precision
embedding_root_real	double precision
hecke_orbit	integer
hecke_orbit_code	bigint
label	text
level	integer
weight	smallint

{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [-0.7685486592688923, -0.1355158646164226], [0.0, 0.0], [-1.1085628326803256, 1.321133738463192], [0.0, 0.0], [0.019092241577925512, 0.03306873244334598], [0.0, 0.0], [-0.3673901286846331, -0.13371907120443616], [0.0, 0.0], [-1.4923513684212777, -0.861609464283531], [0.0, 0.0], [0.9976002254025047, -0.17590383569930776], [0.0, 0.0], [1.0310190596135558, -0.8651277126584808], [0.0, 0.0], [1.4170941229840202, -0.5157800799197524], [0.0, 0.0], [0.9846678391760029, -0.17443980764854486], [0.0, 0.0], [-0.010191978798323278, -0.02800223160795346], [0.0, 0.0], [0.11165048839042459, -0.09368588362916846], [0.0, 0.0], [-0.34283462323857217, -1.9443117659084015], [0.0, 0.0], [0.9400864836700972, 0.5427591844084593], [0.0, 0.0], [-0.0647999605851294, 0.1780364284891926], [0.0, 0.0], [-0.018640140916138172, -0.03228567112699479], [0.0, 0.0], [1.0301828918441942, 0.8644260845916071], [0.0, 0.0], [-0.06485316752495893, -0.011435363219056279], [0.0, 0.0], [0.0, -0.7300807392682033], [0.0, 0.0], [-0.7905420761035765, 0.0], [0.0, 0.0], [-0.047631765366836096, 0.270133164961234], [0.0, 0.0], [0.2830187201308911, -0.3372885764874047], [0.0, 0.0], [0.5839358181975688, -0.3371355018258307], [0.0, 0.0], [-1.108017150374856, -0.40328526179290625], [0.0, 0.0], [0.49927097262306025, -0.8647626913274704], [0.0, 0.0], [-1.1590021717594483, 0.20436335358089724], [0.0, 0.0], [-0.8201636355208337, -0.9774329591470817], [0.0, 0.0], [2.792666592975621, -1.016447514072734], [0.0, 0.0], [-0.7804045089809293, 0.000627366705492042], [0.0, 0.0], [-0.16875520480809567, -0.4636511146256829], [0.0, 0.0], [-0.4835212725813417, -0.5762382136945382], [0.0, 0.0], [-0.0025923809019599282, -0.014702122678809501], [0.0, 0.0], [-0.8735100396872905, 1.5129637696598934], [0.0, 0.0], [0.037374087179493934, -0.10268446059838808], [0.0, 0.0], [-0.09850475668153816, 0.05687174778654464], [0.0, 0.0], [0.020822235055879438, 0.01747192975567507], [0.0, 0.0], [-0.13555170959279902, 0.7687519462317405], [0.0, 0.0], [0.0, 1.5407577312782548], [0.0, 0.0], [0.0, -0.06580022415171263], [0.0, 0.0], [-0.2025955240794245, 1.148976312447562], [0.0, 0.0], [-0.34945054949202536, -0.2932238271934563], [0.0, 0.0], [0.40386177142647983, -0.23316970244847723], [0.0, 0.0], [-0.8895234099405807, 2.4439454828880227], [0.0, 0.0], [0.0739286833683111, -0.12804823573058705], [0.0, 0.0], [-0.2107008578745021, -1.1949439446415187], [0.0, 0.0], [0.024863341380076266, 0.029630976413602173], [0.0, 0.0], [0.009950634672185044, 0.027339144071070652], [0.0, 0.0], [-0.8611078538306428, 1.494255390814148], [0.0, 0.0], [-0.6966573059396037, 0.253562522846099], [0.0, 0.0], [0.43306154398203595, 0.5161026508549867], [0.0, 0.0], [0.5765382513678529, -0.10165924912663152], [0.0, 0.0], [0.3163970993159274, -0.5480158513826023], [0.0, 0.0], [0.048293141816814794, 0.017577266140517016], [0.0, 0.0], [0.5466003962298694, -0.3155798859024712], [0.0, 0.0], [0.7653366066480471, -0.9120926505166719], [0.0, 0.0], [-0.09893752262172754, 0.5611025733226193], [0.0, 0.0], [0.21323160880070935, 0.0], [0.0, 0.0], [0.0, 0.2513619156665932], [0.0, 0.0], [-0.3900301727174544, -0.06877284274046984], [0.0, 0.0], [0.0441116967971433, 0.03701410851308695], [0.0, 0.0], [0.9847417378859065, 1.7056227223520641], [0.0, 0.0], [0.07321465882258467, -0.20115562188812552], [0.0, 0.0], [1.4551869289819979, 0.8401525651689813], [0.0, 0.0], [-0.12439310407463311, -0.7054683496242804], [0.0, 0.0], [-0.2632216109725272, 0.22086915668493706], [0.0, 0.0], [-0.2567448570956923, -0.7054006974315183], [0.0, 0.0], [0.024568019586160623, 0.029231270370845993], [0.0, 0.0], [-1.7592024056845905, 0.6402973117186872], [0.0, 0.0], [-0.034406780172193514, 0.028870716552485333], [0.0, 0.0], [0.15965102092091019, -0.028150782486008066], [0.0, 0.0], [0.7969135444286081, 0.4600982493967156], [0.0, 0.0], [-1.6403304711591018, -0.5970314658617684], [0.0, 0.0], [-0.16337510448873727, -0.28297398166636706], [0.0, 0.0], [-0.5009031004245955, 0.59695306947259], [0.0, 0.0], [-0.3218735533040346, -0.056754991824005584], [0.0, 0.0], [0.6781595638401935, 0.0], [0.0, 0.0], [-0.5895960254339556, 0.0], [0.0, 0.0], [0.06331745681035435, 0.011164575985508414], [0.0, 0.0], [0.46053219044766164, -0.5488408924712816], [0.0, 0.0], [0.4978779898972319, 0.8623499744722698], [0.0, 0.0], [0.005229731516094773, 0.0019034666050623563], [0.0, 0.0], [0.11016453102585637, 0.06360352164292706], [0.0, 0.0], [-2.284044929523219, 0.40273874622530786], [0.0, 0.0], [-1.1525205145850725, 0.9670795387125835], [0.0, 0.0], [0.02457142952349085, -0.008943268959920446], [0.0, 0.0], [-0.3850831732063352, -0.06758140551977267], [0.0, 0.0], [0.4243125325041623, 1.1657891018467914], [0.0, 0.0], [0.057750444125126574, -0.04845837636571783], [0.0, 0.0], [0.06686450472104176, 0.37920745000218664], [0.0, 0.0], [0.5334709228385187, 0.3079995809056568], [0.0, 0.0], [0.5600989304106588, -1.538859163963971], [0.0, 0.0], [0.29352020601654055, 0.5083919098687323], [0.0, 0.0], [0.9645342964493724, 0.8093403724085056], [0.0, 0.0], [-2.5592033519647277, -0.4512566000709234], [0.0, 0.0], [0.0, 0.04144995786945651], [0.0, 0.0], [1.7168103900786091, 0.0], [0.0, 0.0], [0.23136263741176855, -1.3121227192921672], [0.0, 0.0], [0.8763655632383665, -1.0444118084151714], [0.0, 0.0], [-0.8208362234674004, 0.4739100145794994], [0.0, 0.0], [-1.0171560571797922, -0.3702145284170157], [0.0, 0.0], [-0.0426391780538603, 0.07385322278226188], [0.0, 0.0], [-0.0071246155206093524, 0.0012562619434577154], [0.0, 0.0], [-0.3040792333675048, -0.36238751879901704], [0.0, 0.0], [-0.053546876641319525, 0.019489469235364505], [0.0, 0.0], [-1.6197693864525153, -0.5880736437582075], [0.0, 0.0], [0.2074453264119276, 0.5699513500881647], [0.0, 0.0], [-0.013635177167820162, -0.016249771375408225], [0.0, 0.0], [0.13185928390587237, 0.7478111595631841], [0.0, 0.0], [0.0007117641468349676, -0.0012328116653240785], [0.0, 0.0], [0.20835616933830384, -0.5724538704610533], [0.0, 0.0], [1.3229657220702435, -0.7638146157659027], [0.0, 0.0], [-0.7725956060078739, -0.6482846880503942], [0.0, 0.0], [-0.1340375071199618, 0.7601644772763185], [0.0, 0.0], [0.0, -1.3650993004708503], [0.0, 0.0], [0.0, 0.9026234776788882], [0.0, 0.0], [-0.008916974267873749, 0.050570674051391325], [0.0, 0.0], [0.11399352851695724, 0.09565192773517557], [0.0, 0.0], [1.761100396457502, -1.0167717879646954], [0.0, 0.0], [0.31140903681024057, -0.8555892968502492], [0.0, 0.0], [0.5248335864137019, -0.9090384371871226], [0.0, 0.0], [-0.1092109056395506, -0.6193658236575685], [0.0, 0.0], [-0.46892448673804227, -0.5588424417254578], [0.0, 0.0], [0.5889939235908713, 1.6182475052619003], [0.0, 0.0], [0.9516202270445493, -0.34722804123016593], [0.0, 0.0], [-0.3419856167894403, 0.12447258505852428], [0.0, 0.0], [0.7597019037171404, 0.9053774730555627], [0.0, 0.0], [-0.24734240313901118, 0.04361313914667779], [0.0, 0.0], [1.0148354092870973, -1.7577464902052091], [0.0, 0.0], [-0.7045595132594357, -0.2564386910955183], [0.0, 0.0], [0.024142844628900453, -0.013938877845498986], [0.0, 0.0], [0.0476137317162597, -0.056743835829669374], [0.0, 0.0], [0.1457812826733427, -0.8267667380658786], [0.0, 0.0], [2.2005225824694943, 0.0], [0.0, 0.0], [0.0, 0.9469258754860057], [0.0, 0.0], [-0.6572647985948967, -0.11589351746219546], [0.0, 0.0], [0.9964959071217553, 0.8361593481355339], [0.0, 0.0], [-0.01509322029448426, -0.02614222439987643], [0.0, 0.0], [-1.1636076998922276, 3.196985880557426], [0.0, 0.0], [-1.71642739467902, -0.9909798183623802], [0.0, 0.0], [0.002530993813566073, 0.014353979200442166], [0.0, 0.0], [-0.4242526718711544, 0.35599026049306126], [0.0, 0.0], [0.42471548158932454, 1.1668961953594645], [0.0, 0.0], [0.8642985977913835, -1.0317142018756764], [0.0, 0.0], [-0.009842358527343992, 0.0035823255389293472], [0.0, 0.0], [0.9760822194348453, -0.8190302303264796], [0.0, 0.0], [0.5697767829675714, -0.1004670198184542], [0.0, 0.0], [0.5777955181989826, 0.3335903979687419], [0.0, 0.0], [0.7996208782796655, 0.29103819839159634], [0.0, 0.0], [-0.9352929002262776, -1.6199748231503617], [0.0, 0.0], [0.0949028461033376, -0.113100807791068], [0.0, 0.0], [0.016557167467873286, 0.0029194753486945168], [0.0, 0.0], [-0.45687414114764663, 0.0], [0.0, 0.0], [1.2973014570975852, 0.0], [0.0, 0.0], [-1.8243715353298757, -0.32168592451518363], [0.0, 0.0], [-0.31743140839944084, 0.3783000213622735], [0.0, 0.0], [-0.4844393416655091, -0.8390735529498804], [0.0, 0.0], [1.1247593503433653, 0.40937892423757627], [0.0, 0.0], [0.02229728741406315, 0.012873344890707815], [0.0, 0.0], [-0.6411178020312174, 0.11304636631061193], [0.0, 0.0], [0.25010218162638914, -0.2098606483593362], [0.0, 0.0], [-0.4628550827719368, 0.1684654729078043], [0.0, 0.0], [1.3053944300575353, -0.7550696830178246], [0.0, 0.0], [-0.6840237948371648, -1.8793399306847716], [0.0, 0.0], [-0.7118014470738115, 0.5972723317110894], [0.0, 0.0], [-0.007818398686867012, -0.04434034233135186], [0.0, 0.0], [-0.3314938116853539, -0.1913880414112342], [0.0, 0.0], [-0.09762571835919226, 0.2682244567499173], [0.0, 0.0], [0.09422838135988355, 0.16320834403029444], [0.0, 0.0], [-0.4127120813759487, -0.3463065552649662], [0.0, 0.0], [-0.1638788670575341, -0.028896265830178913], [0.0, 0.0], [0.0, 0.06424208731569335], [0.0, 0.0], [0.07631329124451224, 0.0], [0.0, 0.0], [0.03406352733319867, -0.19318386327682058], [0.0, 0.0], [-0.3980568735098014, 0.4743857090621248], [0.0, 0.0], [0.7196338589929039, -0.41548080220752226], [0.0, 0.0], [1.033303910405613, 0.37609186633851394], [0.0, 0.0], [-0.7227308982498093, 1.2518066359685622], [0.0, 0.0], [-0.04616551175256258, 0.008140225300190516], [0.0, 0.0], [-0.02888598651336331, -0.03442497820292862], [0.0, 0.0], [0.2567880645885829, -0.09346321202507123], [0.0, 0.0], [0.9391415070150774, -0.34353053692714053], [0.0, 0.0], [-0.5256830044493759, -1.444302184515724], [0.0, 0.0], [-0.8653565455151401, -1.0312917719925832], [0.0, 0.0], [-0.09202377525018313, -0.5218927635489498], [0.0, 0.0], [0.05362139632772911, -0.09287498281241403], [0.0, 0.0], [0.01666370674454936, -0.045783158005063065], [0.0, 0.0], [-1.139489164929304, 0.6578843761105956], [0.0, 0.0], [-1.0045279619761514, -0.8428990424014534], [0.0, 0.0], [-0.03332716462034403, 0.18900774281076366], [0.0, 0.0], [0.0, 1.6523001770565597], [0.0, 0.0], [0.0, 0.5590439933113733], [0.0, 0.0], [0.27577432253258927, -1.5639939016964641], [0.0, 0.0], [0.08693089612526814, 0.07294368287662294], [0.0, 0.0], [-0.1490801991848104, 0.08607149313019333], [0.0, 0.0], [-0.37723504564453963, 1.0364447697353065], [0.0, 0.0], [0.10989793838076115, -0.19034881292255204], [0.0, 0.0], [0.10172793028161792, 0.5769277615534776], [0.0, 0.0], [-1.2933615030076584, -1.541368217732424], [0.0, 0.0], [0.2965897221101643, 0.8148735643399978], [0.0, 0.0], [-0.014920417635694022, -0.025795010068371944], [0.0, 0.0], [1.8255912379166233, -0.6644608705388397], [0.0, 0.0], [-0.024274582168838668, -0.028929320508436832], [0.0, 0.0], [0.7747757820531519, -0.13661387437547198], [0.0, 0.0], [-0.6290444746446009, 1.089536990304921], [0.0, 0.0], [0.0801365950005345, 0.02916733525564032], [0.0, 0.0], [0.030355724886804547, -0.017525885934842826], [0.0, 0.0], [0.012110439518887389, -0.01443265980452894], [0.0, 0.0], [-0.13965778865172582, 0.7920386777485451], [0.0, 0.0], [-0.1265144557078956, 0.0], [0.0, 0.0], [0.0, -1.3090028964480114], [0.0, 0.0], [-0.5388606637023051, -0.09501567385318699], [0.0, 0.0], [0.3531476328236135, 0.2963260484534236], [0.0, 0.0], [-1.4886662077559718, -2.5784455073442287], [0.0, 0.0], [0.009823962368107364, -0.026991114775946942], [0.0, 0.0], [1.1797665490677702, 0.681138534685193], [0.0, 0.0], [0.34025169163460106, 1.9296632328614842], [0.0, 0.0], [-0.2513233347618246, 0.2108853175048911], [0.0, 0.0], [0.08721425372326476, 0.23961919275925614], [0.0, 0.0], [0.09359609762668868, -0.11172576631311953], [0.0, 0.0], [0.9639290444005925, -0.35084148010648025], [0.0, 0.0], [-0.2990624907770459, 0.2509432257099779], [0.0, 0.0], [1.2209904570779582, -0.21529356077040496], [0.0, 0.0], [1.812255900691736, 1.0463064321048614], [0.0, 0.0], [0.23968428605760203, 0.08723794574631287], [0.0, 0.0], [0.458014510256738, 0.7933044023684469], [0.0, 0.0], [0.3038326217729826, -0.3620936185452698], [0.0, 0.0], [-0.5211986235597574, -0.09190137964169985], [0.0, 0.0], [-0.06670905879381221, 0.0], [0.0, 0.0], [-0.80567310845966, 0.0], [0.0, 0.0], [1.6121354066169826, 0.28426296874198603], [0.0, 0.0], [0.7443424378971031, -0.8870727744842053], [0.0, 0.0], [-0.5162332552831874, -0.894142226707155], [0.0, 0.0], [-0.0471495693721619, -0.017161039809936326], [0.0, 0.0], [0.4143975518083729, 0.23925253808808597], [0.0, 0.0], [0.004109200054802745, -0.0007245628387904269], [0.0, 0.0], [-0.42831804559881126, 0.35940151408853593], [0.0, 0.0], [-0.7129744039724414, 0.25950146083965553], [0.0, 0.0], [-0.6767435981129081, -1.854697259488506], [0.0, 0.0], [0.17061859613470426, 0.46877074021914766], [0.0, 0.0], [-0.8482232895238919, 0.7117438493954769], [0.0, 0.0], [-0.12842400240746318, -0.7283287100559869], [0.0, 0.0], [-0.0037613532222773977, -0.002171618295399122], [0.0, 0.0], [0.437298392738026, -1.2014674596115256], [0.0, 0.0], [-0.7467557579851669, -1.2934189136749175], [0.0, 0.0], [-0.07604751639081758, -0.06381144295548319], [0.0, 0.0], [-0.34184623949083864, -0.06027671527596241], [0.0, 0.0], [0.0, 0.2857169053384945], [0.0, 0.0], [-1.1619165564764535, 0.0], [0.0, 0.0], [-0.00018023142848015453, 0.00102214322366323], [0.0, 0.0], [0.5717700111761779, -0.6814089649568416], [0.0, 0.0], [1.0168227161057382, -0.5870628688617744], [0.0, 0.0], [0.8212369308708161, 0.298905798117108], [0.0, 0.0], [-0.5048234132368808, 0.8743798005766166], [0.0, 0.0], [-0.020096294042199803, 0.0035435188518906043], [0.0, 0.0], [-0.820587929137677, -0.9779386125892696], [0.0, 0.0], [-0.028009638411085447, 0.010194674654194389], [0.0, 0.0], [1.020351734241694, 0.37044900791999863], [0.0, 0.0], [0.3732561658046837, 1.025512887220579], [0.0, 0.0], [1.3060765122293312, 1.556521375652221], [0.0, 0.0], [-0.16812190986989153, -0.953466730924523], [0.0, 0.0], [-0.22639240611632688, 0.3921231498412452], [0.0, 0.0], [-0.03407874236448238, 0.09363057512982695], [0.0, 0.0], [-0.050950905175657375, 0.029416518818620882], [0.0, 0.0], [-0.04306714017799759, -0.036137621439218], [0.0, 0.0], [-0.16995939090048812, 0.9638876036872378], [0.0, 0.0], [0.0, 0.19290663191495616], [0.0, 0.0], [0.0, 0.277863516483175], [0.0, 0.0], [-0.189017649142653, 1.071972357169607], [0.0, 0.0], [-0.36825953299855635, -0.309006438316606], [0.0, 0.0], [-1.4901754384140924, 0.8603531905081448], [0.0, 0.0], [-0.34137738025555164, 0.9379266437647024], [0.0, 0.0], [-0.6390031121525351, 1.1067858564428243], [0.0, 0.0], [0.35657265658218523, 2.022224024647336], [0.0, 0.0], [0.12456510733458115, 0.14845091417787046], [0.0, 0.0], [0.10058690382767964, 0.27636024695940353], [0.0, 0.0], [-0.032749796827960864, 0.1866104379951695], [0.0, 0.0], [-0.041863192948401524, 0.015236956144560932], [0.0, 0.0], [-0.6316130800191133, -0.7527271572422726], [0.0, 0.0], [-0.5952553525447248, 0.1049595790647642], [0.0, 0.0], [0.2230091846540115, -0.3862632383752575], [0.0, 0.0], [1.905719876626468, 0.6936253099414937], [0.0, 0.0], [-0.14555363069564656, 0.08403542786365892], [0.0, 0.0], [-0.23638063626909742, 0.28170747249340206], [0.0, 0.0], [0.0030247459770337604, -0.01715418686851337], [0.0, 0.0], [-1.5068317564829656, 0.0], [0.0, 0.0], [0.0, 1.0274548476740428], [0.0, 0.0], [-1.319452323513819, -0.23265504439396043], [0.0, 0.0], [-0.22043221896145132, -0.18496459363014323], [0.0, 0.0], [-0.4596347851852354, -0.7961108008668343], [0.0, 0.0], [-0.3556268895754591, 0.9770768488594563], [0.0, 0.0], [0.015421253008326577, 0.008903464575598674], [0.0, 0.0], [0.3818068354951026, 2.1653341647491446], [0.0, 0.0], [0.5232310759329161, -0.4390430028358012], [0.0, 0.0], [0.4125323998444068, 1.1334234533659333], [0.0, 0.0], [-0.023986253539027124, -0.028539079429012116], [0.0, 0.0], [0.6950749044013337, -0.2529865757875116], [0.0, 0.0], [-0.1490632848406797, 0.12507894733188818], [0.0, 0.0], [-0.09780117511155366, 0.017244985917160126], [0.0, 0.0], [0.7315639821007689, 0.4223686619953135], [0.0, 0.0], [-1.4282787601572793, -0.519850954931886], [0.0, 0.0], [0.026653825324806858, 0.04616577967863151], [0.0, 0.0], [-0.027461741396689946, 0.032727628968398384], [0.0, 0.0], [-3.3450038139980967, -0.5898144229805842], [0.0, 0.0], [-0.9470389750459319, 0.0], [0.0, 0.0], [0.005645857129623038, 0.0], [0.0, 0.0], [-1.176297583394169, -0.2074130012945576], [0.0, 0.0], [-0.5130590145954995, 0.6114399238570318], [0.0, 0.0], [0.18459042917985954, 0.31972000193046135], [0.0, 0.0], [-0.5944890597861573, -0.21637632235906207], [0.0, 0.0], [0.08263349277862525, 0.047708469299818285], [0.0, 0.0], [0.15580998882015656, -0.02747350489287789], [0.0, 0.0], [0.035492529910930666, -0.029781768757810502], [0.0, 0.0], [-0.8678793495998599, 0.31588225018866034], [0.0, 0.0], [1.1651782819908534, 0.6714676593460674], [0.0, 0.0], [-0.37656110204762583, -1.0345931249207996], [0.0, 0.0], [-0.5421600611862893, 0.45492630738046697], [0.0, 0.0], [-0.08219437748898968, -0.4661474787281023], [0.0, 0.0], [1.0699156099254576, 0.6177160654006456], [0.0, 0.0], [0.34595776045153415, -0.9505111349256814], [0.0, 0.0], [-0.005313553397603205, -0.009203344453378982], [0.0, 0.0], [-0.09359499482892358, -0.07853552564098921], [0.0, 0.0], [0.5423552122904094, 0.09563185705466645], [0.0, 0.0], [0.0, -0.5925982889348074], [0.0, 0.0], [1.6698661195531488, 0.0], [0.0, 0.0], [-0.14764412766352217, 0.8373314569914494], [0.0, 0.0], [-0.0007140909195012856, 0.0008510204187545599], [0.0, 0.0], [0.25174077939545725, -0.14534260674997343], [0.0, 0.0], [1.216546466570351, 0.44278670243333135], [0.0, 0.0], [0.15259715626743142, -0.26430602774571876], [0.0, 0.0], [-1.6755431115605197, 0.2954434579083331], [0.0, 0.0], [-0.41791564067676146, -0.4980524661778414], [0.0, 0.0], [-1.1202725300179643, 0.40774585519262974], [0.0, 0.0], [-0.06585361089084404, 5.293967735180435e-05], [0.0, 0.0], [0.009444552874181307, 0.025948695758658394], [0.0, 0.0], [0.5059244571356518, 0.6029372893726885], [0.0, 0.0], [0.22509133419651292, 1.2765563913821778], [0.0, 0.0], [0.34769161659374714, -0.6022195453061282], [0.0, 0.0], [0.7329988728595034, -2.013897851667175], [0.0, 0.0], [1.5489314994343861, -0.8942760181547336], [0.0, 0.0], [-0.021685740807683127, -0.018196497113533], [0.0, 0.0], [-0.18499261199058092, 1.0491452371457748], [0.0, 0.0], [0.0, 1.5364448094701693], [0.0, 0.0], [0.0, -0.07746096144030516], [0.0, 0.0], [0.12231980100073674, -0.6937100635947343], [0.0, 0.0], [-0.9901296343154179, -0.8308174109717623], [0.0, 0.0], [-0.38152235104862126, 0.2202720320797804], [0.0, 0.0], [-0.008798744858610721, 0.02417435281857541], [0.0, 0.0], [-0.13979223948598613, 0.24212726129356416], [0.0, 0.0], [0.07183061064398372, 0.4073716362372632], [0.0, 0.0], [-0.07464721981777783, -0.08896109239500644], [0.0, 0.0], [0.13479495805108782, 0.37034610350169683], [0.0, 0.0], [-0.12735514372585283, -0.7188870239592404], [0.0, 0.0], [-1.4912800564989492, 0.542781551520438], [0.0, 0.0], [0.014369150083789823, 0.017124486234881914], [0.0, 0.0], [0.5751720022791802, -0.10141834254993018], [0.0, 0.0], [0.2280716409988565, -0.39503166997562844], [0.0, 0.0], [-0.0051058924650464015, -0.0018583928766409763], [0.0, 0.0], [2.607167806114105, -1.5052490346825045], [0.0, 0.0], [-0.5265492789625094, 0.6275169948814614], [0.0, 0.0], [0.16301957447258777, -0.9245299489482023], [0.0, 0.0], [0.02416291941877831, 0.0], [0.0, 0.0], [0.0, 0.49081258367228364], [0.0, 0.0], [0.36837399274492405, 0.06495427391223443], [0.0, 0.0], [-1.0162234004832151, -0.8527126805391873], [0.0, 0.0], [0.5127469161901277, 0.8881037102655621], [0.0, 0.0], [0.22709743605525184, -0.6239450775778445], [0.0, 0.0], [0.54902696799413, 0.316980867763775], [0.0, 0.0], [-0.2333722804543533, -1.323519971343499], [0.0, 0.0], [-0.1442491732322344, 0.12103942805679545], [0.0, 0.0], [-0.19229775335496113, -0.52833373515461], [0.0, 0.0], [-0.77842135785462, 0.1379020076935892], [0.0, 0.0], [1.6698314887438146, -0.6077689581431677], [0.0, 0.0], [0.43179799254049883, -0.36232153628382247], [0.0, 0.0], [-0.17955406421960343, 0.031660226017776495], [0.0, 0.0], [0.020871653622820948, 0.012050254837568301], [0.0, 0.0], [1.5795551991399366, 0.5749110758673607], [0.0, 0.0], [-0.4611748684804769, -0.7987783033820808], [0.0, 0.0], [-0.7517824870999391, 0.8959394798507627], [0.0, 0.0], [0.6697065661220207, 0.11808733676492987], [0.0, 0.0], [0.19600494457293127, 0.0], [0.0, 0.0], [1.136046828247797, 0.0], [0.0, 0.0], [0.044773739206032365, 0.00789481824922791], [0.0, 0.0], [0.6536042400921273, -0.7789352012646011], [0.0, 0.0], [-0.2499082398433191, -0.43285376863873753], [0.0, 0.0], [0.690409331830644, 0.25128844624597174], [0.0, 0.0], [0.5067367583457697, 0.29256460383920846], [0.0, 0.0], [0.963925410885423, -0.16996605732959316], [0.0, 0.0], [-0.05638292455436701, 0.047310891198265766], [0.0, 0.0], [-0.02044388995349411, 0.007440967415685713], [0.0, 0.0], [0.0002205098554294326, 0.2743003158207045], [0.0, 0.0], [-0.016020110942444498, -0.04401489307152417], [0.0, 0.0], [-0.15754847381022435, 0.13219886626670263], [0.0, 0.0], [0.2145633505089242, 1.216849228897524], [0.0, 0.0], [0.8059526981191285, 0.46531700721318403], [0.0, 0.0], [-0.22408001869019384, 0.6156547915022773], [0.0, 0.0], [0.004071069387272851, 0.007051299019894876], [0.0, 0.0], [-0.5837234425794391, -0.48980212537793955], [0.0, 0.0], [-1.69120868044785, -0.29820572037131654], [0.0, 0.0], [0.0, 1.7297824979559997], [0.0, 0.0], [-1.7781710965197133, 0.0], [0.0, 0.0], [-0.08237737913035312, 0.467185332609727], [0.0, 0.0], [0.864654731862309, -1.0304553830504901], [0.0, 0.0], [-0.008312219935625467, 0.004799062417396738], [0.0, 0.0], [0.48943456952241843, 0.17813961492705255], [0.0, 0.0], [0.5244006889726217, -0.9082886368247051], [0.0, 0.0], [-0.8115594165977209, 0.14309982159419943], [0.0, 0.0], [-0.6525427363656724, -0.7776701503850465], [0.0, 0.0], [-0.2061530629024677, 0.07503357859930633], [0.0, 0.0], [0.21984287719312803, -0.38148694488917273], [0.0, 0.0], [-0.005172319544248746, -0.014210831154027253], [0.0, 0.0], [-0.20765903107572908, -0.24747839631913282], [0.0, 0.0], [-0.23365774881063583, -1.3251389428425604], [0.0, 0.0], [1.3275314434373657, -2.2993519086787666], [0.0, 0.0], [0.4058320954610978, -1.115014518369319], [0.0, 0.0], [-0.01717227940803542, 0.009914420138828716], [0.0, 0.0], [1.1848644860101551, 0.9942193532061787], [0.0, 0.0], [0.2614865910361515, -1.482964149817137], [0.0, 0.0], [0.0, -2.594702168951703], [0.0, 0.0], [0.0, -0.040468430723607625], [0.0, 0.0], [-0.17635522531683762, 1.000160183133966], [0.0, 0.0], [0.7385465081416249, 0.6197141025889056], [0.0, 0.0], [0.3743011501035637, -0.216102869770279], [0.0, 0.0], [-0.015423719160464477, 0.042376320117385756], [0.0, 0.0], [-0.03760185430316786, 0.06512832211188917], [0.0, 0.0], [-0.16828156711446546, -0.9543721921530455], [0.0, 0.0], [-0.06839825917897817, -0.08151387110373713], [0.0, 0.0], [0.03672221039183649, 0.10089344384403265], [0.0, 0.0], [0.5161729682320777, -0.43382813789783764], [0.0, 0.0], [0.4321541434701816, -0.15729124483795204], [0.0, 0.0], [-0.5328206504964043, -0.6349909244374737], [0.0, 0.0], [0.008049793392979477, -0.0014193957643110209], [0.0, 0.0], [-0.45318940250947637, 0.7849470705981956], [0.0, 0.0], [-2.0105404173570753, -0.731776866707123], [0.0, 0.0], [-0.8611582708925356, 0.4971899595146781], [0.0, 0.0], [1.292312572638366, -1.5401181511964384], [0.0, 0.0], [0.019221807308505114, -0.10901228632891986], [0.0, 0.0], [0.2898511623254748, 0.0], [0.0, 0.0], [0.0, 0.06416158294608], [0.0, 0.0], [0.21574533272586222, 0.03804172312149447], [0.0, 0.0], [-0.39885717963493234, -0.33468091232408187], [0.0, 0.0], [-0.25260779189753285, -0.4375295299543127], [0.0, 0.0], [-0.44751072739924985, 1.229525618493152], [0.0, 0.0], [-0.5751072608338079, -0.3320383318553073], [0.0, 0.0], [-0.228549433594737, -1.296168247629757], [0.0, 0.0], [0.020954000907353262, -0.017582494433048514], [0.0, 0.0], [0.2688585810666709, 0.7386828805072883], [0.0, 0.0], [-1.1613778567242092, -0.20381972871847098], [0.0, 0.0], [-0.9982946751414425, 0.36334954677793324], [0.0, 0.0], [-0.08826440889014453, 0.07406263294580091], [0.0, 0.0], [0.00695590597549381, -0.0012265138987507932], [0.0, 0.0], [-1.6663895175668633, -0.9620904365419992], [0.0, 0.0], [-0.012329353632619864, -0.004487517730015505], [0.0, 0.0], [1.412133903378803, 2.4458876677426464], [0.0, 0.0], [0.2893510782137888, -0.34483518698229104], [0.0, 0.0], [-0.22540824273420237, -0.03974555486812269], [0.0, 0.0], [-0.4676422500393202, 0.0], [0.0, 0.0], [-0.8036048896551312, 0.0], [0.0, 0.0], [-0.9970392955199294, -0.1758049286267241], [0.0, 0.0], [0.018424872093151613, -0.021957907510102237], [0.0, 0.0], [0.9174925873260491, 1.589143776816542], [0.0, 0.0], [1.358524751290498, 0.4944625719836369], [0.0, 0.0], [0.02384564584622138, 0.013767290048316394], [0.0, 0.0], [-1.4195045714222714, 0.2502969551807527], [0.0, 0.0], [-0.1895213416853131, 0.15902728790836948], [0.0, 0.0], [1.5652952757109764, -0.569720888196304], [0.0, 0.0], [0.34076703223924815, -0.9385967430983135], [0.0, 0.0], [0.2586074285293552, 0.7105180703876285], [0.0, 0.0], [3.4332080363168913, -2.880803597028377], [0.0, 0.0], [0.13228627605161022, 0.7502327523564267], [0.0, 0.0], [-0.8089549518327476, -0.46705035920291754], [0.0, 0.0], [-0.2730221598715332, 0.7501222192577673], [0.0, 0.0], [0.019989554390831773, 0.03462292382558217], [0.0, 0.0], [-0.05476093779921689, -0.04594988271024487], [0.0, 0.0], [0.14230941955986667, 0.02509299027736546], [0.0, 0.0], [0.0, 0.7907511804923706], [0.0, 0.0], [0.5080498032568387, 0.0], [0.0, 0.0], [0.10809100238925895, -0.6130145367144587], [0.0, 0.0], [-1.9031921892005577, 2.268136128877004], [0.0, 0.0], [-0.22065514358056482, 0.1273953065443146], [0.0, 0.0], [-0.0016116205600879138, -0.0005865819128034262], [0.0, 0.0], [0.49930509029325304, -0.8648217848656801], [0.0, 0.0], [-0.24301463914364357, 0.042850037588155816], [0.0, 0.0], [1.4770095727553691, 1.7602314646272503], [0.0, 0.0], [-0.6037813163051889, 0.21975842714115568], [0.0, 0.0], [-1.105583059977607, 0.4034061376832275], [0.0, 0.0], [-0.44721497715276903, -1.2287130513691478], [0.0, 0.0], [0.0039790065536850884, 0.00474199535531011], [0.0, 0.0], [0.2710251948152083, 1.5370602600138388], [0.0, 0.0], [0.19438391322158577, -0.3366828138738462], [0.0, 0.0], [-0.7151352984148779, 1.96481808424982], [0.0, 0.0], [-0.4031412964829682, 0.23275373604589641], [0.0, 0.0], [-0.6028890966023775, -0.5058840185998585], [0.0, 0.0], [0.2838500197970822, -1.6097934567733192], [0.0, 0.0], [0.0, 0.03513722770825087], [0.0, 0.0], [0.0, -0.06417329317238868], [0.0, 0.0], [-0.13768782794713735, 0.7808664754192512], [0.0, 0.0], [0.22883300861762632, 0.1920136931322376], [0.0, 0.0], [1.6166843039861412, -0.9333931181010414], [0.0, 0.0], [-0.2783424923041564, 0.7647397124803917], [0.0, 0.0], [0.396258026597535, -0.6863390349739102], [0.0, 0.0]], 'angles': [None, -0.28601970193302634, 0.27660225649460846, -0.08029452407783647, -0.33193826828539863, -0.1932482275317025, -0.16961162225091908, None, -0.34950245489599496, -0.45954402560873264, -0.08630017572428089, -0.44052759127602925, -0.49411937251257165, -0.3535616305302846, -0.29479457461414266, -0.22122476451723128, -0.09522926076960245, -0.17248085078348113, -0.43574432208333375, -0.13672578745719843, 0.0915930987947253, 0.12690708348222765, -0.29587845133047136, -0.42402645848730475, -0.3659938429309877, -0.2304982287967793, -0.3654300666081555, -0.2822338207841477, -0.28740030706558467, -0.2329992556673116, -0.4694772229217982, -0.49431924094413954, -0.3646856227374107, -0.26486299529561974, -0.24834842078557032, -0.19494216851113325, -0.3305789953971262, -0.1565370141917547, -0.49662787492783483, 0.05093970985005966, -0.11683689659378442, -0.2917615753102033, -0.08572781358128952, -0.3561858839103246, -0.4119122357960987, -0.2854626481641326, -0.006517224229495543, -0.22300917024126846, -0.3804355432777561, 0.0745218748444954, -0.12703617263331982, -0.3287304415307304, -0.4768660170430782, -0.010488979262549037, -0.2556039123413076, -0.4032792607575505, -0.2763711990202756, -0.026186076826469236, -0.43805957170648013, -0.4057665153511849, 0.0510592740550373, -0.11253654568606952, -0.41071882378215707, -0.16382151703052109, -0.09233184073283895, -0.330544763372316, -0.19731611054327544, -0.18229805007971658, -0.43899203254112235, -0.26514000406761606, 0.21189003104765966, -0.2837413300777112, -0.48509643578341216, -0.44760756162911663, 0.15473685123845377, -0.32620386469987267, 0.14852404877020772, 0.015820277763960975, -0.09372673194987195, -0.18765605272682712, -0.38643928354848717, -0.2663272503744333, 0.19011135697569115, -0.38733736311100325, -0.21984189013844793, -0.1713616973285333, -0.00761371803235113, -0.31598784823386894, -0.29061130061215834, -0.49700021343163214, -0.12821547564924166, -0.45449162366031104, -0.4491385341405443, -0.24998573101948912, -0.31553371091771043, -0.12247005297090602, -0.22129298941892586, -0.4530132504551831, -0.45237679371221734, 0.13871625627124076, -0.09566564701767717, -0.32664148346550853, -0.3467237791726995, -0.38579762378483984, 0.08586786694835707, -0.15934317602778578, 0.047474865686201725, -0.3766204908784468, -0.33183795509661546, -0.07909074283804522, -0.328508326964603, -0.4542256777465443, -0.24566828082615105, -0.1590707445792391, -0.41867832184638615, -0.1486176892804426, -0.17782353877478072, -0.09275314287783899, -0.3101191130967504, -0.43968722247043124, -0.1638068383753709, -0.3601494752460582, -0.15717892357022695, 0.13942924890664732, -0.3686805867888125, -0.023986345562773854, -0.2306136729456954, -0.3944580363713758, -0.254309667365468, -0.1153321153662705, -0.10090858763216717, -0.13142998362113978, -0.0355857647721244, -0.16700547867231774, -0.15385414692477012, -0.13457544430014456, -0.19638609561857237, -0.0896368329468071, 0.16630636007810254, -0.32881137031214874, -0.34536949570109454, -0.13693254730062518, -0.4103255071358118, -0.3433594432105333, -0.3349112881580738, 0.11254734081393877, -0.047007327641805985, -0.2686283351111302, -0.17912602998138855, -0.49152360440290677, -0.2047538515555753, -0.12397744916657248, 0.16905638636075626, -0.4134618095903724, -0.352757502076997, -0.28756150645069817, 0.10156173608900623, -0.14890183604716625, 0.03441565868349431, 0.1208997439736801, -0.21071286909051554, -0.42185080140190934, -0.3576096217580545, -0.4421456863627296, -0.38553128952144433, -0.20325819087792144, 0.09265786317682029, 0.12225233839359381], 'char_orbit_index': 32, 'conrey_index': 81, 'dual_conrey_index': 593, 'dual_embedding_index': 6, 'dual_embedding_m': 96, 'embedding_index': 6, 'embedding_m': 24, 'hecke_orbit': 1, 'hecke_orbit_code': 2130337333856, 'id': 6423929, 'label': '608.2.bf.a.81.6', 'level': 608, 'weight': 2}