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: \( 9.50416746081 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-0.905212035\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.140214061\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.748784365\) \(a_{12}=+0.000000000\) \(a_{13}=+0.423291076\) \(a_{14}=+0.000000000\) \(a_{15}=-0.522624412\)
\(a_{16}=+0.000000000\) \(a_{17}=-1.502861025\) \(a_{18}=+0.000000000\) \(a_{19}=-0.539109721\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.080952626\) \(a_{22}=+0.000000000\) \(a_{23}=+1.783721449\) \(a_{24}=+0.000000000\) \(a_{25}=-0.180591172\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.293641174\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.114564482\) \(a_{32}=+0.000000000\) \(a_{33}=+0.432310855\) \(a_{34}=+0.000000000\) \(a_{35}=-0.126923455\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.057090149\) \(a_{38}=+0.000000000\) \(a_{39}=+0.244387217\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.604780303\) \(a_{42}=+0.000000000\) \(a_{43}=-1.067382519\) \(a_{44}=+0.000000000\) \(a_{45}=-0.301737345\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.214001079\) \(a_{48}=+0.000000000\) \(a_{49}=-0.980340017\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.867677218\) \(a_{52}=+0.000000000\) \(a_{53}=-1.884578194\) \(a_{54}=+0.000000000\) \(a_{55}=-0.677808619\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.311255143\) \(a_{58}=+0.000000000\) \(a_{59}=+1.615486375\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.394927175\) \(a_{62}=+0.000000000\) \(a_{63}=+0.046738020\) \(a_{64}=+0.000000000\) \(a_{65}=-0.383168176\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.200488864\) \(a_{68}=+0.000000000\) \(a_{69}=+1.029832059\) \(a_{70}=+0.000000000\)
\(a_{71}=-1.829788223\) \(a_{72}=+0.000000000\) \(a_{73}=-0.311998055\) \(a_{74}=+0.000000000\) \(a_{75}=-0.104264362\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.104990096\) \(a_{78}=+0.000000000\) \(a_{79}=-0.995171542\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-1.596504072\) \(a_{84}=+0.000000000\) \(a_{85}=+1.360407887\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.169533811\) \(a_{88}=+0.000000000\) \(a_{89}=+0.186624796\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.059351361\) \(a_{92}=+0.000000000\) \(a_{93}=-0.066143835\) \(a_{94}=+0.000000000\) \(a_{95}=+0.488008608\)
\(a_{96}=+0.000000000\) \(a_{97}=+1.722788504\) \(a_{98}=+0.000000000\) \(a_{99}=+0.249594788\) \(a_{100}=+0.000000000\)

Showing 100 of 316 available coefficients

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