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: \( 8.85825198873 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.402724851\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.721492062\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.824606060\) \(a_{12}=+0.000000000\) \(a_{13}=-0.755581535\) \(a_{14}=+0.000000000\) \(a_{15}=-0.232513301\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.616966335\) \(a_{18}=+0.000000000\) \(a_{19}=+0.611026570\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.416553636\) \(a_{22}=+0.000000000\) \(a_{23}=+1.584572651\) \(a_{24}=+0.000000000\) \(a_{25}=-0.837812694\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.465365884\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.343317129\) \(a_{32}=+0.000000000\) \(a_{33}=-0.476086531\) \(a_{34}=+0.000000000\) \(a_{35}=-0.290562784\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.231133698\) \(a_{38}=+0.000000000\) \(a_{39}=+0.436235203\) \(a_{40}=+0.000000000\)
\(a_{41}=-1.528980901\) \(a_{42}=+0.000000000\) \(a_{43}=-1.836164425\) \(a_{44}=+0.000000000\) \(a_{45}=+0.134241617\)
\(a_{46}=+0.000000000\) \(a_{47}=-1.657447404\) \(a_{48}=+0.000000000\) \(a_{49}=-0.479449204\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.356205679\) \(a_{52}=+0.000000000\) \(a_{53}=+0.758040181\) \(a_{54}=+0.000000000\) \(a_{55}=+0.332089353\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.352776354\) \(a_{58}=+0.000000000\) \(a_{59}=+0.409725315\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.523696220\) \(a_{62}=+0.000000000\) \(a_{63}=-0.240497354\) \(a_{64}=+0.000000000\) \(a_{65}=-0.304291461\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.610410564\) \(a_{68}=+0.000000000\) \(a_{69}=-0.914853446\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.800163129\) \(a_{72}=+0.000000000\) \(a_{73}=-1.751069559\) \(a_{74}=+0.000000000\) \(a_{75}=+0.483711384\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.594946727\) \(a_{78}=+0.000000000\) \(a_{79}=-0.793268240\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+1.118316765\) \(a_{84}=+0.000000000\) \(a_{85}=+0.248467675\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.268679119\) \(a_{88}=+0.000000000\) \(a_{89}=-0.836695793\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.545146080\) \(a_{92}=+0.000000000\) \(a_{93}=+0.198214237\) \(a_{94}=+0.000000000\) \(a_{95}=+0.246075584\)
\(a_{96}=+0.000000000\) \(a_{97}=+1.175173231\) \(a_{98}=+0.000000000\) \(a_{99}=+0.274868687\) \(a_{100}=+0.000000000\)

Showing 100 of 345 available coefficients

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