Properties

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

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Maass form invariants

Level: \( 24 = 2^{3} \cdot 3 \)
Weight: \( 0 \)
Character: 24.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 4.25727499355 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.478667004\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.620110249\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.301256206\) \(a_{12}=+0.000000000\) \(a_{13}=+1.895213107\) \(a_{14}=+0.000000000\) \(a_{15}=-0.276358524\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.201160057\) \(a_{18}=+0.000000000\) \(a_{19}=-1.598379876\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.358020819\) \(a_{22}=+0.000000000\) \(a_{23}=+0.612587794\) \(a_{24}=+0.000000000\) \(a_{25}=-0.770877899\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=+1.722792580\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.298989603\) \(a_{32}=+0.000000000\) \(a_{33}=-0.173930351\) \(a_{34}=+0.000000000\) \(a_{35}=+0.296826315\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.161752011\) \(a_{38}=+0.000000000\) \(a_{39}=-1.094201798\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.208150198\) \(a_{42}=+0.000000000\) \(a_{43}=+0.176465360\) \(a_{44}=+0.000000000\) \(a_{45}=+0.159555668\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.912862241\) \(a_{48}=+0.000000000\) \(a_{49}=-0.615463279\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.693490082\) \(a_{52}=+0.000000000\) \(a_{53}=+0.224551597\) \(a_{54}=+0.000000000\) \(a_{55}=+0.144201405\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.922825051\) \(a_{58}=+0.000000000\) \(a_{59}=+1.681003764\) \(a_{60}=+0.000000000\)
\(a_{61}=-1.168179679\) \(a_{62}=+0.000000000\) \(a_{63}=+0.206703416\) \(a_{64}=+0.000000000\) \(a_{65}=+0.907175980\)
\(a_{66}=+0.000000000\) \(a_{67}=+1.242942870\) \(a_{68}=+0.000000000\) \(a_{69}=-0.353677728\) \(a_{70}=+0.000000000\)
\(a_{71}=-1.039992490\) \(a_{72}=+0.000000000\) \(a_{73}=-1.313377840\) \(a_{74}=+0.000000000\) \(a_{75}=+0.445066563\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.186812061\) \(a_{78}=+0.000000000\) \(a_{79}=-0.879002180\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-0.925049300\) \(a_{84}=+0.000000000\) \(a_{85}=+0.574955686\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.994654760\) \(a_{88}=+0.000000000\) \(a_{89}=+0.345989320\) \(a_{90}=+0.000000000\)
\(a_{91}=+1.175241072\) \(a_{92}=+0.000000000\) \(a_{93}=-0.172621728\) \(a_{94}=+0.000000000\) \(a_{95}=-0.765091706\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.424011800\) \(a_{98}=+0.000000000\) \(a_{99}=+0.100418735\) \(a_{100}=+0.000000000\)

Showing 100 of 232 available coefficients

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