Properties

Level $809$
Weight $0$
Character 809.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 809 \)
Weight: \( 0 \)
Character: 809.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.83996831418 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.462111145\) \(a_{3}=+0.838560599\) \(a_{4}=+1.137769096\) \(a_{5}=-0.786465997\)
\(a_{6}=+1.226068669\) \(a_{7}=-0.196732715\) \(a_{8}=+0.201433613\) \(a_{9}=-0.296815900\) \(a_{10}=-1.149900692\)
\(a_{11}=+0.741635550\) \(a_{12}=+0.954088157\) \(a_{13}=+1.331915214\) \(a_{14}=-0.287644989\) \(a_{15}=-0.659499469\)
\(a_{16}=-0.843250668\) \(a_{17}=-1.522659158\) \(a_{18}=-0.433978035\) \(a_{19}=+1.519046461\) \(a_{20}=-0.894816546\)
\(a_{21}=-0.164972424\) \(a_{22}=+1.084353653\) \(a_{23}=-1.039535620\) \(a_{24}=+0.168914242\) \(a_{25}=-0.381471101\)
\(a_{26}=+1.947407940\) \(a_{27}=-1.087458838\) \(a_{28}=-0.223836215\) \(a_{29}=+1.437865875\) \(a_{30}=-0.964261585\)
\(a_{31}=+0.942876886\) \(a_{32}=-1.434359796\) \(a_{33}=+0.621906348\) \(a_{34}=-2.226296836\) \(a_{35}=+0.154723388\)
\(a_{36}=-0.337707979\) \(a_{37}=-1.487564814\) \(a_{38}=+2.221014771\) \(a_{39}=+1.116891662\) \(a_{40}=-0.158420811\)
\(a_{41}=+0.554971144\) \(a_{42}=-0.241207823\) \(a_{43}=-1.261859804\) \(a_{44}=+0.843810054\) \(a_{45}=+0.233435805\)
\(a_{46}=-1.519916597\) \(a_{47}=+1.174446978\) \(a_{48}=-0.707116844\) \(a_{49}=-0.961296206\) \(a_{50}=-0.557753063\)
\(a_{51}=-1.276841926\) \(a_{52}=+1.515411777\) \(a_{53}=+1.222281938\) \(a_{54}=-1.589985874\) \(a_{55}=-0.583271490\)
\(a_{56}=-0.039628513\) \(a_{57}=+1.273812479\) \(a_{58}=+2.102319572\) \(a_{59}=+1.381075961\) \(a_{60}=-0.750358175\)
\(a_{61}=+0.858454151\) \(a_{62}=+1.378590934\) \(a_{63}=+0.058393509\) \(a_{64}=-1.253942789\) \(a_{65}=-1.047505902\)
\(a_{66}=+0.909296579\) \(a_{67}=+1.352159208\) \(a_{68}=-1.732434574\) \(a_{69}=-0.871713625\) \(a_{70}=+0.226223106\)
\(a_{71}=+1.192396455\) \(a_{72}=-0.059788600\) \(a_{73}=+0.085106739\) \(a_{74}=-2.174984951\) \(a_{75}=-0.319886594\)
\(a_{76}=+1.728324088\) \(a_{77}=-0.145903842\) \(a_{78}=+1.633019330\) \(a_{79}=+0.736551188\) \(a_{80}=+0.663187987\)
\(a_{81}=-0.615084112\) \(a_{82}=+0.811429510\) \(a_{83}=+1.569326291\) \(a_{84}=-0.187700550\) \(a_{85}=+1.197519719\)
\(a_{86}=-1.844979297\) \(a_{87}=+1.205737685\) \(a_{88}=+0.149390354\) \(a_{89}=-1.478375427\) \(a_{90}=+0.341308826\)
\(a_{91}=-0.262031429\) \(a_{92}=-1.182751350\) \(a_{93}=+0.790659648\) \(a_{94}=+1.717171724\) \(a_{95}=-1.194678507\)
\(a_{96}=-1.202797529\) \(a_{97}=-0.900675934\) \(a_{98}=-1.405522126\) \(a_{99}=-0.220129452\) \(a_{100}=-0.434025877\)

Showing 100 of 2128 available coefficients

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