Properties

Level $24$
Weight $0$
Character 24.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 24 = 2^{3} \cdot 3 \)
Weight: \( 0 \)
Character: 24.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 8.37913495194 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-0.051456645\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.196926266\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.926827400\) \(a_{12}=+0.000000000\) \(a_{13}=-1.224580696\) \(a_{14}=+0.000000000\) \(a_{15}=-0.029708508\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.833042713\) \(a_{18}=+0.000000000\) \(a_{19}=+1.075140382\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.113695433\) \(a_{22}=+0.000000000\) \(a_{23}=-0.681709355\) \(a_{24}=+0.000000000\) \(a_{25}=-0.997352214\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.259025463\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.473705274\) \(a_{32}=+0.000000000\) \(a_{33}=-0.535104049\) \(a_{34}=+0.000000000\) \(a_{35}=-0.010133165\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.284447357\) \(a_{38}=+0.000000000\) \(a_{39}=-0.707011995\) \(a_{40}=+0.000000000\)
\(a_{41}=-1.414368788\) \(a_{42}=+0.000000000\) \(a_{43}=-0.112004539\) \(a_{44}=+0.000000000\) \(a_{45}=-0.017152215\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.714831181\) \(a_{48}=+0.000000000\) \(a_{49}=-0.961220046\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.480957435\) \(a_{52}=+0.000000000\) \(a_{53}=+0.234641947\) \(a_{54}=+0.000000000\) \(a_{55}=+0.047691428\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.620732589\) \(a_{58}=+0.000000000\) \(a_{59}=-1.212314645\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.274662501\) \(a_{62}=+0.000000000\) \(a_{63}=+0.065642089\) \(a_{64}=+0.000000000\) \(a_{65}=+0.063012814\)
\(a_{66}=+0.000000000\) \(a_{67}=-1.637268853\) \(a_{68}=+0.000000000\) \(a_{69}=-0.393585079\) \(a_{70}=+0.000000000\)
\(a_{71}=-1.274854814\) \(a_{72}=+0.000000000\) \(a_{73}=+1.362695936\) \(a_{74}=+0.000000000\) \(a_{75}=-0.575821569\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.182516659\) \(a_{78}=+0.000000000\) \(a_{79}=-0.445700188\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+1.729773690\) \(a_{84}=+0.000000000\) \(a_{85}=-0.042865583\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.149548421\) \(a_{88}=+0.000000000\) \(a_{89}=+1.548983953\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.241152104\) \(a_{92}=+0.000000000\) \(a_{93}=-0.273493867\) \(a_{94}=+0.000000000\) \(a_{95}=-0.055323117\)
\(a_{96}=+0.000000000\) \(a_{97}=-1.099106544\) \(a_{98}=+0.000000000\) \(a_{99}=-0.308942467\) \(a_{100}=+0.000000000\)

Showing 100 of 330 available coefficients

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