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: \( 9.36733984471 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.681966834\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.903822836\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.239385656\) \(a_{12}=+0.000000000\) \(a_{13}=+1.631782782\) \(a_{14}=+0.000000000\) \(a_{15}=+0.393733735\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.541066159\) \(a_{18}=+0.000000000\) \(a_{19}=+1.149021047\) \(a_{20}=+0.000000000\)
\(a_{21}=+1.099172627\) \(a_{22}=+0.000000000\) \(a_{23}=-1.603015248\) \(a_{24}=+0.000000000\) \(a_{25}=-0.534921238\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.399274438\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.744862070\) \(a_{32}=+0.000000000\) \(a_{33}=-0.138209373\) \(a_{34}=+0.000000000\) \(a_{35}=+1.298344032\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.996781038\) \(a_{38}=+0.000000000\) \(a_{39}=+0.942110229\) \(a_{40}=+0.000000000\)
\(a_{41}=+1.150513987\) \(a_{42}=+0.000000000\) \(a_{43}=-0.224051726\) \(a_{44}=+0.000000000\) \(a_{45}=+0.227322278\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.093421519\) \(a_{48}=+0.000000000\) \(a_{49}=+2.624541391\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.312384693\) \(a_{52}=+0.000000000\) \(a_{53}=-0.960926738\) \(a_{54}=+0.000000000\) \(a_{55}=-0.163253078\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.663387611\) \(a_{58}=+0.000000000\) \(a_{59}=+1.629751931\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.321466043\) \(a_{62}=+0.000000000\) \(a_{63}=+0.634607612\) \(a_{64}=+0.000000000\) \(a_{65}=+1.112821737\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.015070939\) \(a_{68}=+0.000000000\) \(a_{69}=-0.925501285\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.833655858\) \(a_{72}=+0.000000000\) \(a_{73}=-0.369391520\) \(a_{74}=+0.000000000\) \(a_{75}=-0.308836921\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.455747879\) \(a_{78}=+0.000000000\) \(a_{79}=-1.059946514\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+0.832970543\) \(a_{84}=+0.000000000\) \(a_{85}=-0.368989175\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.230521204\) \(a_{88}=+0.000000000\) \(a_{89}=-0.368576683\) \(a_{90}=+0.000000000\)
\(a_{91}=+3.106625324\) \(a_{92}=+0.000000000\) \(a_{93}=-0.430046317\) \(a_{94}=+0.000000000\) \(a_{95}=+0.783594245\)
\(a_{96}=+0.000000000\) \(a_{97}=-1.220523251\) \(a_{98}=+0.000000000\) \(a_{99}=-0.079795219\) \(a_{100}=+0.000000000\)

Showing 100 of 330 available coefficients

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