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: \( 5.26506649405 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.954674214\) \(a_{3}=-0.822683849\) \(a_{4}=-0.088597145\) \(a_{5}=-0.170838763\)
\(a_{6}=+0.785395057\) \(a_{7}=+0.523672051\) \(a_{8}=+1.039255624\) \(a_{9}=-0.323191284\) \(a_{10}=+0.163095362\)
\(a_{11}=-0.301511345\) \(a_{12}=+0.072887441\) \(a_{13}=+0.728976208\) \(a_{14}=-0.499936204\) \(a_{15}=+0.140546291\)
\(a_{16}=-0.903553400\) \(a_{17}=+1.185252246\) \(a_{18}=+0.308542385\) \(a_{19}=+0.369466904\) \(a_{20}=+0.015135827\)
\(a_{21}=-0.430816539\) \(a_{22}=+0.287845106\) \(a_{23}=-0.231370871\) \(a_{24}=-0.854978817\) \(a_{25}=-0.970814117\)
\(a_{26}=-0.695934789\) \(a_{27}=+1.088568099\) \(a_{28}=-0.046395849\) \(a_{29}=+1.275796980\) \(a_{30}=-0.134175920\)
\(a_{31}=+1.615385578\) \(a_{32}=-0.176656492\) \(a_{33}=+0.248048514\) \(a_{34}=-1.131529757\) \(a_{35}=-0.089463486\)
\(a_{36}=+0.028633826\) \(a_{37}=-0.926025827\) \(a_{38}=-0.352720526\) \(a_{39}=-0.599716955\) \(a_{40}=-0.177545140\)
\(a_{41}=+1.319026461\) \(a_{42}=+0.411289441\) \(a_{43}=-1.122270983\) \(a_{44}=+0.026713044\) \(a_{45}=+0.055213599\)
\(a_{46}=+0.220883804\) \(a_{47}=+0.700666267\) \(a_{48}=+0.743338789\) \(a_{49}=-0.725767583\) \(a_{50}=+0.926811204\)
\(a_{51}=-0.975087880\) \(a_{52}=-0.064585211\) \(a_{53}=+1.318468296\) \(a_{54}=-1.039227894\) \(a_{55}=+0.051509825\)
\(a_{56}=+0.544229125\) \(a_{57}=-0.303954454\) \(a_{58}=-1.217970478\) \(a_{59}=+1.511153060\) \(a_{60}=-0.012452000\)
\(a_{61}=-0.845645469\) \(a_{62}=-1.542166956\) \(a_{63}=-0.169246243\) \(a_{64}=+1.072202798\) \(a_{65}=-0.124537394\)
\(a_{66}=-0.236805520\) \(a_{67}=+0.819643582\) \(a_{68}=-0.105009966\) \(a_{69}=+0.190345077\) \(a_{70}=+0.085408482\)
\(a_{71}=-0.436470405\) \(a_{72}=-0.335878358\) \(a_{73}=-0.732698836\) \(a_{74}=+0.884052967\) \(a_{75}=+0.798673094\)
\(a_{76}=-0.032733711\) \(a_{77}=-0.157893054\) \(a_{78}=+0.572534265\) \(a_{79}=+1.658036846\) \(a_{80}=+0.154361932\)
\(a_{81}=-0.572356493\) \(a_{82}=-1.259240426\) \(a_{83}=+0.147704412\) \(a_{84}=+0.038169116\) \(a_{85}=-0.202487028\)
\(a_{86}=+1.071403169\) \(a_{87}=-1.049577570\) \(a_{88}=-0.313347361\) \(a_{89}=-1.186401498\) \(a_{90}=-0.052710999\)
\(a_{91}=+0.381744466\) \(a_{92}=+0.020498798\) \(a_{93}=-1.328951625\) \(a_{94}=-0.668908018\) \(a_{95}=-0.063119268\)
\(a_{96}=+0.145332443\) \(a_{97}=+0.175813581\) \(a_{98}=+0.692871597\) \(a_{99}=+0.097445838\) \(a_{100}=+0.086011358\)

Showing 100 of 1000 available coefficients

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