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: \( 5.1919399504 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+1.524939351\)
\(a_{6}=+0.000000000\) \(a_{7}=-1.257410784\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.022471902\) \(a_{12}=+0.000000000\) \(a_{13}=-1.447436265\) \(a_{14}=+0.000000000\) \(a_{15}=-0.880424145\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.146862152\) \(a_{18}=+0.000000000\) \(a_{19}=-1.902141145\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.725966455\) \(a_{22}=+0.000000000\) \(a_{23}=-0.217947061\) \(a_{24}=+0.000000000\) \(a_{25}=+1.325440024\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.593135807\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.014016335\) \(a_{32}=+0.000000000\) \(a_{33}=+0.012974159\) \(a_{34}=+0.000000000\) \(a_{35}=-1.917475185\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.853648060\) \(a_{38}=+0.000000000\) \(a_{39}=+0.835677717\) \(a_{40}=+0.000000000\)
\(a_{41}=-1.163054960\) \(a_{42}=+0.000000000\) \(a_{43}=-0.206570843\) \(a_{44}=+0.000000000\) \(a_{45}=+0.508313117\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.264355600\) \(a_{48}=+0.000000000\) \(a_{49}=+0.581081880\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.084790903\) \(a_{52}=+0.000000000\) \(a_{53}=+1.689856200\) \(a_{54}=+0.000000000\) \(a_{55}=-0.034268288\)
\(a_{56}=+0.000000000\) \(a_{57}=+1.098201702\) \(a_{58}=+0.000000000\) \(a_{59}=-1.241822200\) \(a_{60}=+0.000000000\)
\(a_{61}=-1.375734100\) \(a_{62}=+0.000000000\) \(a_{63}=-0.419136928\) \(a_{64}=+0.000000000\) \(a_{65}=-2.207252518\)
\(a_{66}=+0.000000000\) \(a_{67}=+1.754596900\) \(a_{68}=+0.000000000\) \(a_{69}=+0.125831794\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.027712800\) \(a_{72}=+0.000000000\) \(a_{73}=+0.497631800\) \(a_{74}=+0.000000000\) \(a_{75}=-0.765243155\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.028256412\) \(a_{78}=+0.000000000\) \(a_{79}=+0.061349999\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+0.678185999\) \(a_{84}=+0.000000000\) \(a_{85}=-0.223955874\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.342447118\) \(a_{88}=+0.000000000\) \(a_{89}=+1.329349900\) \(a_{90}=+0.000000000\)
\(a_{91}=+1.820021969\) \(a_{92}=+0.000000000\) \(a_{93}=-0.008092335\) \(a_{94}=+0.000000000\) \(a_{95}=-2.900649883\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.698506000\) \(a_{98}=+0.000000000\) \(a_{99}=-0.007490634\) \(a_{100}=+0.000000000\)

Showing 100 of 192 available coefficients

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