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: \( 0.8383064474 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.209625477\) \(a_{3}=+0.559275003\) \(a_{4}=-0.956057172\) \(a_{5}=-1.644424008\)
\(a_{6}=+0.117238283\) \(a_{7}=-1.697860740\) \(a_{8}=-0.410039340\) \(a_{9}=-0.687211340\) \(a_{10}=-0.344713128\)
\(a_{11}=+1.416355933\) \(a_{12}=-0.534698954\) \(a_{13}=+1.543563755\) \(a_{14}=-0.355914851\) \(a_{15}=-0.919685481\)
\(a_{16}=+0.870102471\) \(a_{17}=-0.344080159\) \(a_{18}=-0.144057000\) \(a_{19}=-1.538971483\) \(a_{20}=+1.572163262\)
\(a_{21}=-0.949571193\) \(a_{22}=+0.296904337\) \(a_{23}=-1.197119713\) \(a_{24}=-0.229324862\) \(a_{25}=+1.704130602\)
\(a_{26}=+0.323570299\) \(a_{27}=-0.943615260\) \(a_{28}=+1.623251895\) \(a_{29}=+0.863572547\) \(a_{30}=-0.192789394\)
\(a_{31}=-0.463479151\) \(a_{32}=+0.592434939\) \(a_{33}=+0.792132743\) \(a_{34}=-0.072128002\) \(a_{35}=+2.792003272\)
\(a_{36}=+0.657013462\) \(a_{37}=+1.060590534\) \(a_{38}=-0.322607666\) \(a_{39}=+0.863276797\) \(a_{40}=+0.674278708\)
\(a_{41}=-0.506701190\) \(a_{42}=-0.199054304\) \(a_{43}=-0.575799073\) \(a_{44}=-1.354117077\) \(a_{45}=+1.130066867\)
\(a_{46}=-0.250946950\) \(a_{47}=-1.082246437\) \(a_{48}=+0.486626596\) \(a_{49}=+1.882731140\) \(a_{50}=+0.357229193\)
\(a_{51}=-0.192435475\) \(a_{52}=-1.475734986\) \(a_{53}=+1.078457010\) \(a_{54}=-0.197805903\) \(a_{55}=-2.329090207\)
\(a_{56}=+0.696189842\) \(a_{57}=-0.860708356\) \(a_{58}=+0.181026737\) \(a_{59}=-1.312033457\) \(a_{60}=+0.879271898\)
\(a_{61}=-0.708365181\) \(a_{62}=-0.097157041\) \(a_{63}=+1.166789177\) \(a_{64}=-0.745913174\) \(a_{65}=-2.538273549\)
\(a_{66}=+0.166051157\) \(a_{67}=+1.108616159\) \(a_{68}=+0.328960331\) \(a_{69}=-0.669519036\) \(a_{70}=+0.585275088\)
\(a_{71}=-0.009241767\) \(a_{72}=+0.281783589\) \(a_{73}=-1.550563984\) \(a_{74}=+0.222326773\) \(a_{75}=+0.953078038\)
\(a_{76}=+1.471344419\) \(a_{77}=-2.404775351\) \(a_{78}=+0.180964845\) \(a_{79}=+0.162822033\) \(a_{80}=-1.430817622\)
\(a_{81}=+0.159471068\) \(a_{82}=-0.106217363\) \(a_{83}=+0.858930712\) \(a_{84}=+0.907844287\) \(a_{85}=+0.565813822\)
\(a_{86}=-0.120702050\) \(a_{87}=+0.482974466\) \(a_{88}=-0.580761835\) \(a_{89}=-0.873676954\) \(a_{90}=+0.236890831\)
\(a_{91}=-2.620756449\) \(a_{92}=+1.144514703\) \(a_{93}=-0.259212381\) \(a_{94}=-0.226866444\) \(a_{95}=+2.530721913\)
\(a_{96}=+0.331334256\) \(a_{97}=-0.644424164\) \(a_{98}=+0.394668333\) \(a_{99}=-0.973335966\) \(a_{100}=-1.629246128\)

Showing 100 of 1972 available coefficients

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