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: \( 5.98954264666 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.696745906\) \(a_{3}=-0.917879531\) \(a_{4}=+1.878946670\) \(a_{5}=+1.399979169\)
\(a_{6}=-1.557408336\) \(a_{7}=+1.457617178\) \(a_{8}=+1.491349164\) \(a_{9}=-0.157497167\) \(a_{10}=+2.375408924\)
\(a_{11}=-0.301511345\) \(a_{12}=-1.724646688\) \(a_{13}=-0.600518533\) \(a_{14}=+2.473205979\) \(a_{15}=-1.285012223\)
\(a_{16}=+0.651493919\) \(a_{17}=+0.593549477\) \(a_{18}=-0.267232673\) \(a_{19}=-0.682513417\) \(a_{20}=+2.630486198\)
\(a_{21}=-1.337916971\) \(a_{22}=-0.511588140\) \(a_{23}=-0.296350943\) \(a_{24}=-1.368878871\) \(a_{25}=+0.959941674\)
\(a_{26}=-1.018927363\) \(a_{27}=+1.062442957\) \(a_{28}=+2.738784942\) \(a_{29}=-0.456910063\) \(a_{30}=-2.180339228\)
\(a_{31}=-0.722928251\) \(a_{32}=-0.385929524\) \(a_{33}=+0.276751092\) \(a_{34}=+1.007102646\) \(a_{35}=+2.040633685\)
\(a_{36}=-0.295928778\) \(a_{37}=-0.692819585\) \(a_{38}=-1.158051847\) \(a_{39}=+0.551203667\) \(a_{40}=+2.087857765\)
\(a_{41}=-1.678175472\) \(a_{42}=-2.270105144\) \(a_{43}=+1.746906118\) \(a_{44}=-0.566523737\) \(a_{45}=-0.220492753\)
\(a_{46}=-0.502832249\) \(a_{47}=-0.343451731\) \(a_{48}=-0.597992933\) \(a_{49}=+1.124647837\) \(a_{50}=+1.628777106\)
\(a_{51}=-0.544806916\) \(a_{52}=-1.128342298\) \(a_{53}=+0.575313821\) \(a_{54}=+1.802695737\) \(a_{55}=-0.422109602\)
\(a_{56}=+2.173816160\) \(a_{57}=+0.626465095\) \(a_{58}=-0.775260278\) \(a_{59}=-0.541833988\) \(a_{60}=-2.414469438\)
\(a_{61}=+0.139585329\) \(a_{62}=-1.226625550\) \(a_{63}=-0.229570575\) \(a_{64}=-1.306318259\) \(a_{65}=-0.840713438\)
\(a_{66}=+0.469576281\) \(a_{67}=-0.147410468\) \(a_{68}=+1.115247815\) \(a_{69}=+0.272014463\) \(a_{70}=+3.462436848\)
\(a_{71}=+0.745139788\) \(a_{72}=-0.234883266\) \(a_{73}=+0.393101701\) \(a_{74}=-1.175538804\) \(a_{75}=-0.881110824\)
\(a_{76}=-1.282406297\) \(a_{77}=-0.439488102\) \(a_{78}=+0.935252568\) \(a_{79}=+1.555296778\) \(a_{80}=+0.912077931\)
\(a_{81}=-0.817697464\) \(a_{82}=-2.847437273\) \(a_{83}=+1.708574171\) \(a_{84}=-2.513874797\) \(a_{85}=+0.830956904\)
\(a_{86}=+2.964055804\) \(a_{87}=+0.419388394\) \(a_{88}=-0.449658691\) \(a_{89}=-0.666295101\) \(a_{90}=-0.374120177\)
\(a_{91}=-0.875326130\) \(a_{92}=-0.556827617\) \(a_{93}=+0.663561045\) \(a_{94}=-0.582750317\) \(a_{95}=-0.955504567\)
\(a_{96}=+0.354236808\) \(a_{97}=-0.848073329\) \(a_{98}=+1.908241613\) \(a_{99}=+0.047487187\) \(a_{100}=+1.803679214\)

Showing 100 of 1000 available coefficients

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