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: \( 8.61911956716 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-1.107793454\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.102933579\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.661174991\) \(a_{12}=+0.000000000\) \(a_{13}=-0.314678084\) \(a_{14}=+0.000000000\) \(a_{15}=-0.639584849\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.181172678\) \(a_{18}=+0.000000000\) \(a_{19}=-1.344996221\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.636778999\) \(a_{22}=+0.000000000\) \(a_{23}=+1.067510348\) \(a_{24}=+0.000000000\) \(a_{25}=+0.227206338\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.548522299\) \(a_{30}=+0.000000000\)
\(a_{31}=-1.734548423\) \(a_{32}=+0.000000000\) \(a_{33}=-0.381729559\) \(a_{34}=+0.000000000\) \(a_{35}=-1.221822599\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.837218465\) \(a_{38}=+0.000000000\) \(a_{39}=-0.181679477\) \(a_{40}=+0.000000000\)
\(a_{41}=+1.027853733\) \(a_{42}=+0.000000000\) \(a_{43}=-1.862907529\) \(a_{44}=+0.000000000\) \(a_{45}=-0.369264485\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.369718945\) \(a_{48}=+0.000000000\) \(a_{49}=+0.216462479\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.681950364\) \(a_{52}=+0.000000000\) \(a_{53}=-1.679123364\) \(a_{54}=+0.000000000\) \(a_{55}=+0.732445327\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.776533930\) \(a_{58}=+0.000000000\) \(a_{59}=-1.811374695\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.682768999\) \(a_{62}=+0.000000000\) \(a_{63}=+0.367644526\) \(a_{64}=+0.000000000\) \(a_{65}=+0.348598322\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.808162345\) \(a_{68}=+0.000000000\) \(a_{69}=+0.616327387\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.840661765\) \(a_{72}=+0.000000000\) \(a_{73}=-0.829636398\) \(a_{74}=+0.000000000\) \(a_{75}=+0.131177640\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.729232099\) \(a_{78}=+0.000000000\) \(a_{79}=+0.721241717\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+0.810751485\) \(a_{84}=+0.000000000\) \(a_{85}=-1.308495362\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.316689497\) \(a_{88}=+0.000000000\) \(a_{89}=-0.914934814\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.347069026\) \(a_{92}=+0.000000000\) \(a_{93}=-1.001441999\) \(a_{94}=+0.000000000\) \(a_{95}=+1.489978010\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.924716270\) \(a_{98}=+0.000000000\) \(a_{99}=-0.220391664\) \(a_{100}=+0.000000000\)

Showing 100 of 310 available coefficients

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