Properties

Level $577$
Weight $0$
Character 577.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 577 \)
Weight: \( 0 \)
Character: 577.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.2680177194 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.774961792\) \(a_{3}=+0.394577392\) \(a_{4}=-0.399434224\) \(a_{5}=-0.049743061\)
\(a_{6}=+0.305782405\) \(a_{7}=+0.469753504\) \(a_{8}=-1.084507996\) \(a_{9}=-0.844308690\) \(a_{10}=-0.038548998\)
\(a_{11}=-0.721584500\) \(a_{12}=-0.157607743\) \(a_{13}=-1.497364828\) \(a_{14}=+0.364041056\) \(a_{15}=-0.019627483\)
\(a_{16}=-0.441018098\) \(a_{17}=+1.357715202\) \(a_{18}=-0.654306953\) \(a_{19}=-0.345604603\) \(a_{20}=+0.019869060\)
\(a_{21}=+0.185354076\) \(a_{22}=-0.559200475\) \(a_{23}=+0.940082904\) \(a_{24}=-0.427922291\) \(a_{25}=-0.997525628\)
\(a_{26}=-1.160400601\) \(a_{27}=-0.727722481\) \(a_{28}=-0.187635640\) \(a_{29}=+0.399121709\) \(a_{30}=-0.015210563\)
\(a_{31}=+1.865295336\) \(a_{32}=+0.742735832\) \(a_{33}=-0.284720878\) \(a_{34}=+1.052177363\) \(a_{35}=-0.023366964\)
\(a_{36}=+0.337245736\) \(a_{37}=+0.303454396\) \(a_{38}=-0.267830292\) \(a_{39}=-0.590826269\) \(a_{40}=+0.053946786\)
\(a_{41}=-0.852697215\) \(a_{42}=+0.143642411\) \(a_{43}=-0.967130115\) \(a_{44}=+0.288225568\) \(a_{45}=+0.041998476\)
\(a_{46}=+0.728528429\) \(a_{47}=-0.865618684\) \(a_{48}=-0.174015766\) \(a_{49}=-0.779331579\) \(a_{50}=-0.773044232\)
\(a_{51}=+0.535723708\) \(a_{52}=+0.598098703\) \(a_{53}=-0.217306723\) \(a_{54}=-0.563957075\) \(a_{55}=+0.035893837\)
\(a_{56}=-0.509451556\) \(a_{57}=-0.136367756\) \(a_{58}=+0.309303950\) \(a_{59}=-0.915322725\) \(a_{60}=+0.007839818\)
\(a_{61}=-0.136001929\) \(a_{62}=+1.445532712\) \(a_{63}=-0.396617034\) \(a_{64}=+1.016610097\) \(a_{65}=+0.074483478\)
\(a_{66}=-0.220647905\) \(a_{67}=+1.623742526\) \(a_{68}=-0.542317795\) \(a_{69}=+0.370935431\) \(a_{70}=-0.018108497\)
\(a_{71}=+1.290230014\) \(a_{72}=+0.915659472\) \(a_{73}=+1.394661413\) \(a_{74}=+0.235165552\) \(a_{75}=-0.393601044\)
\(a_{76}=+0.138046296\) \(a_{77}=-0.338966923\) \(a_{78}=-0.457867843\) \(a_{79}=-0.581240535\) \(a_{80}=+0.021937589\)
\(a_{81}=+0.557165862\) \(a_{82}=-0.660807765\) \(a_{83}=+1.071462897\) \(a_{84}=-0.074036777\) \(a_{85}=-0.067536869\)
\(a_{86}=-0.749488872\) \(a_{87}=+0.157484394\) \(a_{88}=+0.782564271\) \(a_{89}=-0.855286247\) \(a_{90}=+0.032547259\)
\(a_{91}=-0.703392561\) \(a_{92}=-0.375501258\) \(a_{93}=+0.736003274\) \(a_{94}=-0.670821371\) \(a_{95}=+0.017191396\)
\(a_{96}=+0.293066710\) \(a_{97}=+0.681572449\) \(a_{98}=-0.603952199\) \(a_{99}=+0.609240168\) \(a_{100}=+0.398445880\)

Showing 100 of 1600 available coefficients

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