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: \( 2.12237798559 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-0.583829181\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.798894102\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.971638532\) \(a_{12}=+0.000000000\) \(a_{13}=-0.219258885\) \(a_{14}=+0.000000000\) \(a_{15}=-0.337073935\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.374235482\) \(a_{18}=+0.000000000\) \(a_{19}=-0.348029489\) \(a_{20}=+0.000000000\)
\(a_{21}=+1.038591994\) \(a_{22}=+0.000000000\) \(a_{23}=+1.012033529\) \(a_{24}=+0.000000000\) \(a_{25}=-0.659143488\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=+0.262171292\) \(a_{30}=+0.000000000\)
\(a_{31}=+1.058420725\) \(a_{32}=+0.000000000\) \(a_{33}=-0.560975768\) \(a_{34}=+0.000000000\) \(a_{35}=-1.050246870\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.825975062\) \(a_{38}=+0.000000000\) \(a_{39}=-0.126589176\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.227189590\) \(a_{42}=+0.000000000\) \(a_{43}=+0.049703551\) \(a_{44}=+0.000000000\) \(a_{45}=-0.194609727\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.909721932\) \(a_{48}=+0.000000000\) \(a_{49}=+2.236019992\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.216064957\) \(a_{52}=+0.000000000\) \(a_{53}=+1.231751780\) \(a_{54}=+0.000000000\) \(a_{55}=+0.567270928\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.200934911\) \(a_{58}=+0.000000000\) \(a_{59}=+0.192960365\) \(a_{60}=+0.000000000\)
\(a_{61}=-1.820915727\) \(a_{62}=+0.000000000\) \(a_{63}=+0.599631337\) \(a_{64}=+0.000000000\) \(a_{65}=+0.128009740\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.354166878\) \(a_{68}=+0.000000000\) \(a_{69}=+0.584297760\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.027777437\) \(a_{72}=+0.000000000\) \(a_{73}=-0.563812802\) \(a_{74}=+0.000000000\) \(a_{75}=-0.380556247\)
\(a_{76}=+0.000000000\) \(a_{77}=-1.747875646\) \(a_{78}=+0.000000000\) \(a_{79}=-0.921520056\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111113362\) \(a_{82}=+0.000000000\) \(a_{83}=+1.964784369\) \(a_{84}=+0.000000000\) \(a_{85}=+0.218482509\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.151382393\) \(a_{88}=+0.000000000\) \(a_{89}=+0.037295053\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.394415441\) \(a_{92}=+0.000000000\) \(a_{93}=+0.611051770\) \(a_{94}=+0.000000000\) \(a_{95}=+0.202980105\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.828612422\) \(a_{98}=+0.000000000\) \(a_{99}=-0.323760262\) \(a_{100}=+0.000000000\)

Showing 100 of 2000 available coefficients

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