Properties

Level $11$
Weight $0$
Character 11.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 7.26644184887 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.123233928\) \(a_{3}=+0.177808144\) \(a_{4}=+0.261654456\) \(a_{5}=-1.231450845\)
\(a_{6}=-0.199720140\) \(a_{7}=-1.522420873\) \(a_{8}=+0.829334765\) \(a_{9}=-0.968384264\) \(a_{10}=+1.383207369\)
\(a_{11}=-0.301511345\) \(a_{12}=+0.046524293\) \(a_{13}=+1.422099217\) \(a_{14}=+1.710034776\) \(a_{15}=-0.218961990\)
\(a_{16}=-1.193191402\) \(a_{17}=-0.742697759\) \(a_{18}=+1.087722060\) \(a_{19}=+0.765730390\) \(a_{20}=-0.322214601\)
\(a_{21}=-0.270698830\) \(a_{22}=+0.338667772\) \(a_{23}=+1.555882180\) \(a_{24}=+0.147462476\) \(a_{25}=+0.516471183\)
\(a_{26}=-1.597350089\) \(a_{27}=-0.349994753\) \(a_{28}=-0.398348205\) \(a_{29}=+0.028068583\) \(a_{30}=+0.245945536\)
\(a_{31}=-1.204683790\) \(a_{32}=+0.510898299\) \(a_{33}=-0.053611173\) \(a_{34}=+0.834223320\) \(a_{35}=+1.874786470\)
\(a_{36}=-0.253382058\) \(a_{37}=+0.124328311\) \(a_{38}=-0.860094354\) \(a_{39}=+0.252860823\) \(a_{40}=-1.021284997\)
\(a_{41}=+0.354923190\) \(a_{42}=+0.304058110\) \(a_{43}=-0.954960788\) \(a_{44}=-0.078891787\) \(a_{45}=+1.192517620\)
\(a_{46}=-1.747619652\) \(a_{47}=+0.288108088\) \(a_{48}=-0.212159149\) \(a_{49}=+1.317765313\) \(a_{50}=-0.580117956\)
\(a_{51}=-0.132057710\) \(a_{52}=+0.372098597\) \(a_{53}=+0.258367996\) \(a_{54}=+0.393125981\) \(a_{55}=+0.371296400\)
\(a_{56}=-1.262596557\) \(a_{57}=+0.136153100\) \(a_{58}=-0.031527585\) \(a_{59}=+0.024448953\) \(a_{60}=-0.057292380\)
\(a_{61}=-0.398313208\) \(a_{62}=+1.353141705\) \(a_{63}=+1.474288416\) \(a_{64}=+0.619333098\) \(a_{65}=-1.751245282\)
\(a_{66}=+0.060217888\) \(a_{67}=-1.464127165\) \(a_{68}=-0.194330178\) \(a_{69}=+0.276648523\) \(a_{70}=-2.105823770\)
\(a_{71}=+1.830468280\) \(a_{72}=-0.803114736\) \(a_{73}=+0.370991775\) \(a_{74}=-0.139649777\) \(a_{75}=+0.091832783\)
\(a_{76}=+0.200356769\) \(a_{77}=+0.459027164\) \(a_{78}=-0.284021855\) \(a_{79}=-0.745071751\) \(a_{80}=+1.469356560\)
\(a_{81}=+0.906152346\) \(a_{82}=-0.398661768\) \(a_{83}=-0.007640409\) \(a_{84}=-0.070829555\) \(a_{85}=+0.914595782\)
\(a_{86}=+1.072644356\) \(a_{87}=+0.004990823\) \(a_{88}=-0.250053840\) \(a_{89}=+0.628862374\) \(a_{90}=-1.339476250\)
\(a_{91}=-2.165033531\) \(a_{92}=+0.407103506\) \(a_{93}=-0.214202589\) \(a_{94}=-0.323612779\) \(a_{95}=-0.942959336\)
\(a_{96}=+0.090841879\) \(a_{97}=+0.898886082\) \(a_{98}=-1.480158708\) \(a_{99}=+0.291978841\) \(a_{100}=+0.135136987\)

Showing 100 of 546 available coefficients

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