Properties

Level $811$
Weight $0$
Character 811.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 811 \)
Weight: \( 0 \)
Character: 811.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.3284547059 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.606421755\) \(a_{3}=-1.314753943\) \(a_{4}=+1.580591004\) \(a_{5}=+1.426659170\)
\(a_{6}=+2.112049344\) \(a_{7}=+0.406648478\) \(a_{8}=-0.932673781\) \(a_{9}=+0.728577489\) \(a_{10}=-2.291816170\)
\(a_{11}=-0.397096622\) \(a_{12}=-2.078087790\) \(a_{13}=+0.109777758\) \(a_{14}=-0.653249463\) \(a_{15}=-1.875705244\)
\(a_{16}=-0.082323721\) \(a_{17}=-1.788344511\) \(a_{18}=-1.170402879\) \(a_{19}=+1.327311163\) \(a_{20}=+2.254964110\)
\(a_{21}=-0.534642937\) \(a_{22}=+0.637904657\) \(a_{23}=+1.649456928\) \(a_{24}=+1.226236063\) \(a_{25}=+1.035355876\)
\(a_{26}=-0.176349492\) \(a_{27}=+0.356853596\) \(a_{28}=+0.642745377\) \(a_{29}=+0.084919332\) \(a_{30}=+3.013173916\)
\(a_{31}=+0.005989847\) \(a_{32}=+1.064920404\) \(a_{33}=+0.522083864\) \(a_{34}=+2.872835757\) \(a_{35}=+0.580148952\)
\(a_{36}=+1.151582903\) \(a_{37}=-0.623938381\) \(a_{38}=-2.132221880\) \(a_{39}=-0.144330388\) \(a_{40}=-1.330607430\)
\(a_{41}=-0.231766374\) \(a_{42}=+0.858861897\) \(a_{43}=+0.503695672\) \(a_{44}=-0.627647206\) \(a_{45}=+1.039431840\)
\(a_{46}=-2.649723338\) \(a_{47}=-1.597985937\) \(a_{48}=+0.108235379\) \(a_{49}=-0.834637181\) \(a_{50}=-1.663218036\)
\(a_{51}=+2.351233116\) \(a_{52}=+0.173513646\) \(a_{53}=+1.077031012\) \(a_{54}=-0.573257545\) \(a_{55}=-0.566521107\)
\(a_{56}=-0.379270613\) \(a_{57}=-1.745087862\) \(a_{58}=-0.136416005\) \(a_{59}=+1.175124994\) \(a_{60}=-2.964722826\)
\(a_{61}=+1.400078932\) \(a_{62}=-0.009621912\) \(a_{63}=+0.296275515\) \(a_{64}=-1.628387313\) \(a_{65}=+0.156615317\)
\(a_{66}=-0.838687189\) \(a_{67}=+0.762998934\) \(a_{68}=-2.826641113\) \(a_{69}=-2.168629705\) \(a_{70}=-0.931964020\)
\(a_{71}=-1.896330505\) \(a_{72}=-0.679525193\) \(a_{73}=+0.226942410\) \(a_{74}=+1.002308357\) \(a_{75}=-1.361238287\)
\(a_{76}=+2.097936554\) \(a_{77}=-0.161479125\) \(a_{78}=+0.231855922\) \(a_{79}=+0.431389702\) \(a_{80}=-0.117447485\)
\(a_{81}=-1.197752768\) \(a_{82}=+0.372314680\) \(a_{83}=-0.797894311\) \(a_{84}=-0.845051685\) \(a_{85}=-2.551357932\)
\(a_{86}=-0.809147496\) \(a_{87}=-0.111647772\) \(a_{88}=+0.370361387\) \(a_{89}=-0.215126861\) \(a_{90}=-1.669765923\)
\(a_{91}=+0.044640961\) \(a_{92}=+2.607116160\) \(a_{93}=-0.007875020\) \(a_{94}=+2.567039793\) \(a_{95}=+1.893620582\)
\(a_{96}=-1.400107631\) \(a_{97}=+1.349634987\) \(a_{98}=+1.340779051\) \(a_{99}=-0.289316068\) \(a_{100}=+1.636473812\)

Showing 100 of 2086 available coefficients

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