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: \( 6.2989634142 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-0.401783233\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.427616988\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.586294322\) \(a_{12}=+0.000000000\) \(a_{13}=+0.654631372\) \(a_{14}=+0.000000000\) \(a_{15}=+0.231969658\)
\(a_{16}=+0.000000000\) \(a_{17}=-1.592174080\) \(a_{18}=+0.000000000\) \(a_{19}=-0.903566163\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.824235052\) \(a_{22}=+0.000000000\) \(a_{23}=-0.732252859\) \(a_{24}=+0.000000000\) \(a_{25}=-0.838570234\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=+1.397753190\) \(a_{30}=+0.000000000\)
\(a_{31}=-1.250372655\) \(a_{32}=+0.000000000\) \(a_{33}=+0.338497184\) \(a_{34}=+0.000000000\) \(a_{35}=-0.573592569\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.937166320\) \(a_{38}=+0.000000000\) \(a_{39}=-0.377951599\) \(a_{40}=+0.000000000\)
\(a_{41}=-1.131367947\) \(a_{42}=+0.000000000\) \(a_{43}=-0.302660788\) \(a_{44}=+0.000000000\) \(a_{45}=-0.133927744\)
\(a_{46}=+0.000000000\) \(a_{47}=-1.414912261\) \(a_{48}=+0.000000000\) \(a_{49}=+1.038090265\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.919242134\) \(a_{52}=+0.000000000\) \(a_{53}=+0.175869102\) \(a_{54}=+0.000000000\) \(a_{55}=+0.235563228\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.521674168\) \(a_{58}=+0.000000000\) \(a_{59}=-1.034817853\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.572015007\) \(a_{62}=+0.000000000\) \(a_{63}=+0.475872329\) \(a_{64}=+0.000000000\) \(a_{65}=-0.263019909\)
\(a_{66}=+0.000000000\) \(a_{67}=-1.736118672\) \(a_{68}=+0.000000000\) \(a_{69}=+0.422766385\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.826324156\) \(a_{72}=+0.000000000\) \(a_{73}=-1.214758000\) \(a_{74}=+0.000000000\) \(a_{75}=+0.484148750\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.837003733\) \(a_{78}=+0.000000000\) \(a_{79}=+1.922930483\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-0.421274347\) \(a_{84}=+0.000000000\) \(a_{85}=+0.639708849\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.806993181\) \(a_{88}=+0.000000000\) \(a_{89}=-0.704813752\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.934562868\) \(a_{92}=+0.000000000\) \(a_{93}=+0.721902989\) \(a_{94}=+0.000000000\) \(a_{95}=+0.363037734\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.688767749\) \(a_{98}=+0.000000000\) \(a_{99}=-0.195431441\) \(a_{100}=+0.000000000\)

Showing 100 of 268 available coefficients

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