Properties

Level $4$
Weight $0$
Character 4.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 4 = 2^{2} \)
Weight: \( 0 \)
Character: 4.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 17.6699198653 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.906660313\) \(a_{4}=+0.000000000\) \(a_{5}=+0.827809127\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.285652186\) \(a_{8}=+0.000000000\) \(a_{9}=+2.635353550\) \(a_{10}=+0.000000000\)
\(a_{11}=+1.220009553\) \(a_{12}=+0.000000000\) \(a_{13}=-0.274944265\) \(a_{14}=+0.000000000\) \(a_{15}=+1.578350808\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.651080388\) \(a_{18}=+0.000000000\) \(a_{19}=-0.904337449\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.544641686\) \(a_{22}=+0.000000000\) \(a_{23}=+0.829752900\) \(a_{24}=+0.000000000\) \(a_{25}=-0.314732050\)
\(a_{26}=+0.000000000\) \(a_{27}=+3.118063712\) \(a_{28}=+0.000000000\) \(a_{29}=+0.680100441\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.418000221\) \(a_{32}=+0.000000000\) \(a_{33}=+2.326143796\) \(a_{34}=+0.000000000\) \(a_{35}=-0.236465486\)
\(a_{36}=+0.000000000\)

Showing all 36 available coefficients

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