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: \( 6.84638954848 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.224566746\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.385136251\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=+1.716080941\) \(a_{12}=+0.000000000\) \(a_{13}=+0.140497119\) \(a_{14}=+0.000000000\) \(a_{15}=-0.129653671\)
\(a_{16}=+0.000000000\) \(a_{17}=-1.303808359\) \(a_{18}=+0.000000000\) \(a_{19}=-0.886467846\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.222358518\) \(a_{22}=+0.000000000\) \(a_{23}=-0.512608722\) \(a_{24}=+0.000000000\) \(a_{25}=-0.949569777\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.177969889\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.915941181\) \(a_{32}=+0.000000000\) \(a_{33}=-0.990779793\) \(a_{34}=+0.000000000\) \(a_{35}=-0.086488795\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.356916640\) \(a_{38}=+0.000000000\) \(a_{39}=-0.081116049\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.681282364\) \(a_{42}=+0.000000000\) \(a_{43}=+0.656405086\) \(a_{44}=+0.000000000\) \(a_{45}=+0.074855582\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.864592148\) \(a_{48}=+0.000000000\) \(a_{49}=-0.851670068\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.752754107\) \(a_{52}=+0.000000000\) \(a_{53}=-1.792203953\) \(a_{54}=+0.000000000\) \(a_{55}=+0.385374713\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.511802450\) \(a_{58}=+0.000000000\) \(a_{59}=-1.699981010\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.751552573\) \(a_{62}=+0.000000000\) \(a_{63}=-0.128378750\) \(a_{64}=+0.000000000\) \(a_{65}=+0.031550981\)
\(a_{66}=+0.000000000\) \(a_{67}=+1.745219682\) \(a_{68}=+0.000000000\) \(a_{69}=+0.295954784\) \(a_{70}=+0.000000000\)
\(a_{71}=-1.381474294\) \(a_{72}=+0.000000000\) \(a_{73}=+0.916008348\) \(a_{74}=+0.000000000\) \(a_{75}=+0.548234366\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.660924980\) \(a_{78}=+0.000000000\) \(a_{79}=+1.225842742\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+0.174632589\) \(a_{84}=+0.000000000\) \(a_{85}=-0.292792001\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.102750963\) \(a_{88}=+0.000000000\) \(a_{89}=-1.311105368\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.054110534\) \(a_{92}=+0.000000000\) \(a_{93}=+0.528818887\) \(a_{94}=+0.000000000\) \(a_{95}=-0.199071200\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.512468362\) \(a_{98}=+0.000000000\) \(a_{99}=+0.572026980\) \(a_{100}=+0.000000000\)

Showing 100 of 256 available coefficients

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