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: \( 6.95515844055 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.457329774\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.318354197\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.753184130\) \(a_{12}=+0.000000000\) \(a_{13}=-0.474199843\) \(a_{14}=+0.000000000\) \(a_{15}=+0.264039468\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.166742362\) \(a_{18}=+0.000000000\) \(a_{19}=+1.765569316\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.761152150\) \(a_{22}=+0.000000000\) \(a_{23}=+0.381306193\) \(a_{24}=+0.000000000\) \(a_{25}=-0.790849478\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=+1.630200374\) \(a_{30}=+0.000000000\)
\(a_{31}=+1.386444944\) \(a_{32}=+0.000000000\) \(a_{33}=-0.434851060\) \(a_{34}=+0.000000000\) \(a_{35}=+0.602922627\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.926580542\) \(a_{38}=+0.000000000\) \(a_{39}=-0.273779407\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.798045180\) \(a_{42}=+0.000000000\) \(a_{43}=-1.503581366\) \(a_{44}=+0.000000000\) \(a_{45}=+0.152443258\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.958737392\) \(a_{48}=+0.000000000\) \(a_{49}=+0.738057788\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.096268747\) \(a_{52}=+0.000000000\) \(a_{53}=+0.399661786\) \(a_{54}=+0.000000000\) \(a_{55}=-0.344453528\)
\(a_{56}=+0.000000000\) \(a_{57}=+1.019351920\) \(a_{58}=+0.000000000\) \(a_{59}=-0.823844471\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.575734446\) \(a_{62}=+0.000000000\) \(a_{63}=+0.439451399\) \(a_{64}=+0.000000000\) \(a_{65}=-0.216865707\)
\(a_{66}=+0.000000000\) \(a_{67}=+1.522997548\) \(a_{68}=+0.000000000\) \(a_{69}=+0.220147233\) \(a_{70}=+0.000000000\)
\(a_{71}=-1.698892858\) \(a_{72}=+0.000000000\) \(a_{73}=-0.111518987\) \(a_{74}=+0.000000000\) \(a_{75}=-0.456597159\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.992963459\) \(a_{78}=+0.000000000\) \(a_{79}=+0.901056817\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-1.976146552\) \(a_{84}=+0.000000000\) \(a_{85}=+0.076256247\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.941196625\) \(a_{88}=+0.000000000\) \(a_{89}=+0.607949296\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.625163353\) \(a_{92}=+0.000000000\) \(a_{93}=+0.800464362\) \(a_{94}=+0.000000000\) \(a_{95}=+0.807447416\)
\(a_{96}=+0.000000000\) \(a_{97}=+1.878879766\) \(a_{98}=+0.000000000\) \(a_{99}=-0.251061377\) \(a_{100}=+0.000000000\)

Showing 100 of 240 available coefficients

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