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: \( 7.03299254377 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+1.914180986\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.272780666\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.084999243\) \(a_{12}=+0.000000000\) \(a_{13}=-1.014946787\) \(a_{14}=+0.000000000\) \(a_{15}=+1.105152907\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.275111581\) \(a_{18}=+0.000000000\) \(a_{19}=-1.050939969\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.734840260\) \(a_{22}=+0.000000000\) \(a_{23}=+1.305708249\) \(a_{24}=+0.000000000\) \(a_{25}=+2.664088847\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.009025675\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.849878372\) \(a_{32}=+0.000000000\) \(a_{33}=+0.049074336\) \(a_{34}=+0.000000000\) \(a_{35}=+2.436332549\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.209744565\) \(a_{38}=+0.000000000\) \(a_{39}=-0.585979801\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.158282336\) \(a_{42}=+0.000000000\) \(a_{43}=+1.260069436\) \(a_{44}=+0.000000000\) \(a_{45}=+0.638060329\)
\(a_{46}=+0.000000000\) \(a_{47}=+0.606541013\) \(a_{48}=+0.000000000\) \(a_{49}=+0.619970623\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.158835746\) \(a_{52}=+0.000000000\) \(a_{53}=-1.522761154\) \(a_{54}=+0.000000000\) \(a_{55}=+0.162703935\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.606760474\) \(a_{58}=+0.000000000\) \(a_{59}=+0.353554783\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.245257501\) \(a_{62}=+0.000000000\) \(a_{63}=+0.424260222\) \(a_{64}=+0.000000000\) \(a_{65}=-1.942791842\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.465363867\) \(a_{68}=+0.000000000\) \(a_{69}=+0.753851009\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.944495748\) \(a_{72}=+0.000000000\) \(a_{73}=-0.474969951\) \(a_{74}=+0.000000000\) \(a_{75}=+1.538112413\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.108185393\) \(a_{78}=+0.000000000\) \(a_{79}=+1.054599762\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+0.589042406\) \(a_{84}=+0.000000000\) \(a_{85}=+0.526613358\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.005210976\) \(a_{88}=+0.000000000\) \(a_{89}=-0.776122874\) \(a_{90}=+0.000000000\)
\(a_{91}=-1.291804648\) \(a_{92}=+0.000000000\) \(a_{93}=-0.490677507\) \(a_{94}=+0.000000000\) \(a_{95}=-2.011689306\)
\(a_{96}=+0.000000000\) \(a_{97}=+1.463899290\) \(a_{98}=+0.000000000\) \(a_{99}=+0.028333081\) \(a_{100}=+0.000000000\)

Showing 100 of 292 available coefficients

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