Properties

Level $92$
Weight $0$
Character 92.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 92 = 2^{2} \cdot 23 \)
Weight: \( 0 \)
Character: 92.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 2.79672217721 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-1.596806572\) \(a_{4}=+0.000000000\) \(a_{5}=+1.675589001\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.721918344\) \(a_{8}=+0.000000000\) \(a_{9}=+1.549791229\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.603422191\) \(a_{12}=+0.000000000\) \(a_{13}=+0.125421851\) \(a_{14}=+0.000000000\) \(a_{15}=-2.675591530\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.493350401\) \(a_{18}=+0.000000000\) \(a_{19}=+1.446390734\) \(a_{20}=+0.000000000\)
\(a_{21}=+1.152763956\) \(a_{22}=+0.000000000\) \(a_{23}=+0.208514414\) \(a_{24}=+0.000000000\) \(a_{25}=+1.807598502\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.877910248\) \(a_{28}=+0.000000000\) \(a_{29}=-1.868850732\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.484333929\) \(a_{32}=+0.000000000\) \(a_{33}=+0.963548520\) \(a_{34}=+0.000000000\) \(a_{35}=-1.209638437\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.047367425\) \(a_{38}=+0.000000000\) \(a_{39}=-0.200274436\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.782008177\) \(a_{42}=+0.000000000\) \(a_{43}=+1.644682334\) \(a_{44}=+0.000000000\) \(a_{45}=+2.596813138\)
\(a_{46}=+0.000000000\) \(a_{47}=+0.672714135\) \(a_{48}=+0.000000000\) \(a_{49}=-0.478833905\) \(a_{50}=+0.000000000\)
\(a_{51}=-2.384591736\) \(a_{52}=+0.000000000\) \(a_{53}=+0.229713255\) \(a_{54}=+0.000000000\) \(a_{55}=-1.011087586\)
\(a_{56}=+0.000000000\) \(a_{57}=-2.309606230\) \(a_{58}=+0.000000000\) \(a_{59}=+0.970302332\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.597895294\) \(a_{62}=+0.000000000\) \(a_{63}=-1.118822717\) \(a_{64}=+0.000000000\) \(a_{65}=+0.210155474\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.709625558\) \(a_{68}=+0.000000000\) \(a_{69}=-0.332957187\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.119737008\) \(a_{72}=+0.000000000\) \(a_{73}=+1.255209646\) \(a_{74}=+0.000000000\) \(a_{75}=-2.886385167\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.435621549\) \(a_{78}=+0.000000000\) \(a_{79}=-1.735706672\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.147938375\) \(a_{82}=+0.000000000\) \(a_{83}=-0.563862329\) \(a_{84}=+0.000000000\) \(a_{85}=+2.502241508\)
\(a_{86}=+0.000000000\) \(a_{87}=+2.984193132\) \(a_{88}=+0.000000000\) \(a_{89}=-0.767077081\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.090544335\) \(a_{92}=+0.000000000\) \(a_{93}=-0.773387601\) \(a_{94}=+0.000000000\) \(a_{95}=+2.423556406\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.372481663\) \(a_{98}=+0.000000000\) \(a_{99}=-0.935178419\) \(a_{100}=+0.000000000\)

Showing 100 of 750 available coefficients

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