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: \( 6.473043995 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-0.435731462\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.105457484\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.127251365\) \(a_{12}=+0.000000000\) \(a_{13}=-0.160388057\) \(a_{14}=+0.000000000\) \(a_{15}=-0.251569677\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.149882985\) \(a_{18}=+0.000000000\) \(a_{19}=-1.817037284\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.060885907\) \(a_{22}=+0.000000000\) \(a_{23}=-1.739834375\) \(a_{24}=+0.000000000\) \(a_{25}=-0.810138093\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.970694021\) \(a_{30}=+0.000000000\)
\(a_{31}=+1.546260301\) \(a_{32}=+0.000000000\) \(a_{33}=-0.073468610\) \(a_{34}=+0.000000000\) \(a_{35}=+0.045951144\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.855297199\) \(a_{38}=+0.000000000\) \(a_{39}=-0.092600088\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.784366619\) \(a_{42}=+0.000000000\) \(a_{43}=-0.905093281\) \(a_{44}=+0.000000000\) \(a_{45}=-0.145243821\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.376804420\) \(a_{48}=+0.000000000\) \(a_{49}=-0.988878719\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.086534982\) \(a_{52}=+0.000000000\) \(a_{53}=+0.893727383\) \(a_{54}=+0.000000000\) \(a_{55}=+0.055447423\)
\(a_{56}=+0.000000000\) \(a_{57}=-1.049066965\) \(a_{58}=+0.000000000\) \(a_{59}=+1.580302761\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.158642172\) \(a_{62}=+0.000000000\) \(a_{63}=-0.035152495\) \(a_{64}=+0.000000000\) \(a_{65}=+0.069886123\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.361574040\) \(a_{68}=+0.000000000\) \(a_{69}=-1.004493845\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.010528220\) \(a_{72}=+0.000000000\) \(a_{73}=-0.765129780\) \(a_{74}=+0.000000000\) \(a_{75}=-0.467733446\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.013419609\) \(a_{78}=+0.000000000\) \(a_{79}=-0.877285870\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+0.724908840\) \(a_{84}=+0.000000000\) \(a_{85}=-0.065308732\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.560430454\) \(a_{88}=+0.000000000\) \(a_{89}=+1.514112890\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.016914121\) \(a_{92}=+0.000000000\) \(a_{93}=+0.892733801\) \(a_{94}=+0.000000000\) \(a_{95}=+0.791740313\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.717401820\) \(a_{98}=+0.000000000\) \(a_{99}=-0.042417122\) \(a_{100}=+0.000000000\)

Showing 100 of 232 available coefficients

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