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: \( 5.56024960711 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.299256101\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.104279747\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.235856177\) \(a_{12}=+0.000000000\) \(a_{13}=-1.634690522\) \(a_{14}=+0.000000000\) \(a_{15}=-0.172775591\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.052831108\) \(a_{18}=+0.000000000\) \(a_{19}=-0.196474910\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.637556209\) \(a_{22}=+0.000000000\) \(a_{23}=-0.120963280\) \(a_{24}=+0.000000000\) \(a_{25}=-0.910445786\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-1.511172113\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.891332959\) \(a_{32}=+0.000000000\) \(a_{33}=+0.713521896\) \(a_{34}=+0.000000000\) \(a_{35}=+0.330462452\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.221443669\) \(a_{38}=+0.000000000\) \(a_{39}=+0.943789013\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.403233290\) \(a_{42}=+0.000000000\) \(a_{43}=+1.771619879\) \(a_{44}=+0.000000000\) \(a_{45}=+0.099752034\)
\(a_{46}=+0.000000000\) \(a_{47}=-1.815289885\) \(a_{48}=+0.000000000\) \(a_{49}=+0.219433759\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.030502054\) \(a_{52}=+0.000000000\) \(a_{53}=-1.284021084\) \(a_{54}=+0.000000000\) \(a_{55}=-0.369837501\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.113434842\) \(a_{58}=+0.000000000\) \(a_{59}=-0.499309367\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.584003853\) \(a_{62}=+0.000000000\) \(a_{63}=+0.368093249\) \(a_{64}=+0.000000000\) \(a_{65}=-0.489191113\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.507710404\) \(a_{68}=+0.000000000\) \(a_{69}=+0.069838182\) \(a_{70}=+0.000000000\)
\(a_{71}=+1.556173041\) \(a_{72}=+0.000000000\) \(a_{73}=-0.108658841\) \(a_{74}=+0.000000000\) \(a_{75}=+0.525646119\)
\(a_{76}=+0.000000000\) \(a_{77}=-1.364730946\) \(a_{78}=+0.000000000\) \(a_{79}=-1.112554949\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+0.011779031\) \(a_{84}=+0.000000000\) \(a_{85}=+0.015810031\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.872475626\) \(a_{88}=+0.000000000\) \(a_{89}=-0.218421012\) \(a_{90}=+0.000000000\)
\(a_{91}=-1.805155636\) \(a_{92}=+0.000000000\) \(a_{93}=-0.514611324\) \(a_{94}=+0.000000000\) \(a_{95}=-0.058796316\)
\(a_{96}=+0.000000000\) \(a_{97}=+1.198540950\) \(a_{98}=+0.000000000\) \(a_{99}=-0.411952059\) \(a_{100}=+0.000000000\)

Showing 100 of 250 available coefficients

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