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: \( 3.2413987165 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-0.197901868\)
\(a_{6}=+0.000000000\) \(a_{7}=-1.005531378\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.988441399\) \(a_{12}=+0.000000000\) \(a_{13}=+0.807578869\) \(a_{14}=+0.000000000\) \(a_{15}=+0.114258697\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.268221862\) \(a_{18}=+0.000000000\) \(a_{19}=+1.454342542\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.580543812\) \(a_{22}=+0.000000000\) \(a_{23}=-1.003593871\) \(a_{24}=+0.000000000\) \(a_{25}=-0.960834851\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.202382651\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.878169111\) \(a_{32}=+0.000000000\) \(a_{33}=+1.148027177\) \(a_{34}=+0.000000000\) \(a_{35}=+0.198996538\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.021899350\) \(a_{38}=+0.000000000\) \(a_{39}=-0.466255878\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.651255440\) \(a_{42}=+0.000000000\) \(a_{43}=+1.516201130\) \(a_{44}=+0.000000000\) \(a_{45}=-0.065967289\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.784978480\) \(a_{48}=+0.000000000\) \(a_{49}=+0.011093353\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.154857964\) \(a_{52}=+0.000000000\) \(a_{53}=-0.449659950\) \(a_{54}=+0.000000000\) \(a_{55}=+0.393516267\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.839665058\) \(a_{58}=+0.000000000\) \(a_{59}=-0.584451700\) \(a_{60}=+0.000000000\)
\(a_{61}=-1.004034500\) \(a_{62}=+0.000000000\) \(a_{63}=-0.335177126\) \(a_{64}=+0.000000000\) \(a_{65}=-0.159821367\)
\(a_{66}=+0.000000000\) \(a_{67}=+1.186102300\) \(a_{68}=+0.000000000\) \(a_{69}=+0.579425192\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.093218200\) \(a_{72}=+0.000000000\) \(a_{73}=+0.200773999\) \(a_{74}=+0.000000000\) \(a_{75}=+0.554738260\)
\(a_{76}=+0.000000000\) \(a_{77}=+1.999440221\) \(a_{78}=+0.000000000\) \(a_{79}=-1.360768000\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+0.219320999\) \(a_{84}=+0.000000000\) \(a_{85}=+0.053081608\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.116845678\) \(a_{88}=+0.000000000\) \(a_{89}=-0.613320000\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.812045894\) \(a_{92}=+0.000000000\) \(a_{93}=+0.507011173\) \(a_{94}=+0.000000000\) \(a_{95}=-0.287817106\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.344629999\) \(a_{98}=+0.000000000\) \(a_{99}=-0.662813800\) \(a_{100}=+0.000000000\)

Showing 100 of 198 available coefficients

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