Properties

Level $11$
Weight $0$
Character 11.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 6.839443143 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.503882201\) \(a_{3}=+1.639122322\) \(a_{4}=-0.746102728\) \(a_{5}=+0.668602056\)
\(a_{6}=-0.825924563\) \(a_{7}=-0.478258721\) \(a_{8}=+0.879830085\) \(a_{9}=+1.686721986\) \(a_{10}=-0.336896675\)
\(a_{11}=+0.301511345\) \(a_{12}=-1.222953635\) \(a_{13}=+1.805073371\) \(a_{14}=+0.240986057\) \(a_{15}=+1.095920554\)
\(a_{16}=+0.302772008\) \(a_{17}=-0.284246590\) \(a_{18}=-0.849909186\) \(a_{19}=+1.405286086\) \(a_{20}=-0.498845818\)
\(a_{21}=-0.783924545\) \(a_{22}=-0.151926200\) \(a_{23}=-0.133777448\) \(a_{24}=+1.442149132\) \(a_{25}=-0.552971291\)
\(a_{26}=-0.909544343\) \(a_{27}=+1.125621336\) \(a_{28}=+0.356830136\) \(a_{29}=+0.672946514\) \(a_{30}=-0.552214861\)
\(a_{31}=+0.551139242\) \(a_{32}=-1.032391511\) \(a_{33}=+0.494213975\) \(a_{34}=+0.143226797\) \(a_{35}=-0.319764764\)
\(a_{36}=-1.258467874\) \(a_{37}=-1.596096963\) \(a_{38}=-0.708098646\) \(a_{39}=+2.958736055\) \(a_{40}=+0.588256204\)
\(a_{41}=-0.280024874\) \(a_{42}=+0.395005625\) \(a_{43}=-0.005975732\) \(a_{44}=-0.224958434\) \(a_{45}=+1.127745779\)
\(a_{46}=+0.067408083\) \(a_{47}=-1.078425946\) \(a_{48}=+0.496280357\) \(a_{49}=-0.771268596\) \(a_{50}=+0.278632391\)
\(a_{51}=-0.465914931\) \(a_{52}=-1.346770166\) \(a_{53}=+1.321259638\) \(a_{54}=-0.567180556\) \(a_{55}=+0.201591105\)
\(a_{56}=-0.420786411\) \(a_{57}=+2.303435792\) \(a_{58}=-0.339085770\) \(a_{59}=-0.933038294\) \(a_{60}=-0.817669315\)
\(a_{61}=-0.099325145\) \(a_{62}=-0.277709254\) \(a_{63}=-0.806689499\) \(a_{64}=+0.217431698\) \(a_{65}=+1.206875767\)
\(a_{66}=-0.249025625\) \(a_{67}=+1.569643751\) \(a_{68}=+0.212077156\) \(a_{69}=-0.219277602\) \(a_{70}=+0.161123773\)
\(a_{71}=-0.642853190\) \(a_{72}=+1.484028748\) \(a_{73}=+0.130720011\) \(a_{74}=+0.804244851\) \(a_{75}=-0.906387587\)
\(a_{76}=-1.048487781\) \(a_{77}=-0.144200431\) \(a_{78}=-1.490854436\) \(a_{79}=-1.514153932\) \(a_{80}=+0.202433987\)
\(a_{81}=+0.158309072\) \(a_{82}=+0.141099545\) \(a_{83}=+0.088862488\) \(a_{84}=+0.584888251\) \(a_{85}=-0.190047866\)
\(a_{86}=+0.003011040\) \(a_{87}=+1.103041662\) \(a_{88}=+0.265278748\) \(a_{89}=+1.145893159\) \(a_{90}=-0.568251029\)
\(a_{91}=-0.863292081\) \(a_{92}=+0.099811719\) \(a_{93}=+0.903384634\) \(a_{94}=+0.543399639\) \(a_{95}=+0.939577167\)
\(a_{96}=-1.692215970\) \(a_{97}=-1.573163194\) \(a_{98}=+0.388628517\) \(a_{99}=+0.508565813\) \(a_{100}=+0.412573389\)

Showing 100 of 1000 available coefficients

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