Properties

Level $5$
Weight $0$
Character 5.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 4.13240421506 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.789325989\) \(a_{3}=+0.742052562\) \(a_{4}=-0.376964482\) \(a_{5}=-0.447213595\)
\(a_{6}=+0.585721373\) \(a_{7}=+1.067552988\) \(a_{8}=-1.086873852\) \(a_{9}=-0.449357996\) \(a_{10}=-0.352997313\)
\(a_{11}=+1.287377226\) \(a_{12}=-0.279727466\) \(a_{13}=-0.363506606\) \(a_{14}=+0.842647318\) \(a_{15}=-0.331855994\)
\(a_{16}=-0.480933296\) \(a_{17}=+0.156877708\) \(a_{18}=-0.354689944\) \(a_{19}=-0.504805835\) \(a_{20}=+0.168583642\)
\(a_{21}=+0.792180430\) \(a_{22}=+1.016160302\) \(a_{23}=-0.093003070\) \(a_{24}=-0.806517527\) \(a_{25}=+0.199951172\)
\(a_{26}=-0.286925212\) \(a_{27}=-1.075499814\) \(a_{28}=-0.402429560\) \(a_{29}=+1.208370199\) \(a_{30}=-0.261942561\)
\(a_{31}=-0.150522730\) \(a_{32}=+0.707260702\) \(a_{33}=+0.955301568\) \(a_{34}=+0.123827652\) \(a_{35}=-0.477424210\)
\(a_{36}=+0.169392004\) \(a_{37}=-1.317900635\) \(a_{38}=-0.398456365\) \(a_{39}=-0.269741009\) \(a_{40}=+0.486064763\)
\(a_{41}=+0.195247206\) \(a_{42}=+0.625288602\) \(a_{43}=-0.174869041\) \(a_{44}=-0.485295490\) \(a_{45}=+0.200959002\)
\(a_{46}=-0.073409740\) \(a_{47}=+0.970583098\) \(a_{48}=-0.356877783\) \(a_{49}=+0.139669400\) \(a_{50}=+0.157865191\)
\(a_{51}=+0.116411697\) \(a_{52}=+0.137028954\) \(a_{53}=-0.062863736\) \(a_{54}=-0.848920692\) \(a_{55}=-0.575732385\)
\(a_{56}=-1.160295568\) \(a_{57}=-0.374592463\) \(a_{58}=+0.953798003\) \(a_{59}=+0.856040231\) \(a_{60}=+0.125097923\)
\(a_{61}=+0.947835840\) \(a_{62}=-0.118811502\) \(a_{63}=-0.479713471\) \(a_{64}=+1.039192550\) \(a_{65}=+0.162565096\)
\(a_{66}=+0.754044355\) \(a_{67}=-1.932984240\) \(a_{68}=-0.059137324\) \(a_{69}=-0.069013166\) \(a_{70}=-0.376843337\)
\(a_{71}=-0.755174251\) \(a_{72}=+0.488395456\) \(a_{73}=+0.243417888\) \(a_{74}=-1.040253224\) \(a_{75}=+0.148410510\)
\(a_{76}=+0.190293870\) \(a_{77}=+1.374343402\) \(a_{78}=-0.212913588\) \(a_{79}=+0.249224450\) \(a_{80}=+0.215079929\)
\(a_{81}=-0.348719351\) \(a_{82}=+0.154113665\) \(a_{83}=+0.693530786\) \(a_{84}=-0.298623876\) \(a_{85}=-0.070157995\)
\(a_{86}=-0.138028613\) \(a_{87}=+0.896674241\) \(a_{88}=-1.399216467\) \(a_{89}=-0.604450089\) \(a_{90}=+0.158621924\)
\(a_{91}=-0.388061292\) \(a_{92}=+0.035058578\) \(a_{93}=-0.111696058\) \(a_{94}=+0.766099970\) \(a_{95}=+0.225756672\)
\(a_{96}=+0.524817264\) \(a_{97}=-1.588569380\) \(a_{98}=+0.110244673\) \(a_{99}=-0.578493248\) \(a_{100}=-0.075392897\)

Showing 100 of 5000 available coefficients

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