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: \( 26.0378899623 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.837663642\) \(a_{4}=+0.000000000\) \(a_{5}=-0.634486802\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.418450443\) \(a_{8}=+0.000000000\) \(a_{9}=+2.377007661\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.275662472\) \(a_{12}=+0.000000000\) \(a_{13}=+0.264687488\) \(a_{14}=+0.000000000\) \(a_{15}=-1.165973328\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.906944416\) \(a_{18}=+0.000000000\) \(a_{19}=+1.563968743\) \(a_{20}=+0.000000000\)
\(a_{21}=+2.606634807\) \(a_{22}=+0.000000000\) \(a_{23}=+1.105373869\) \(a_{24}=+0.000000000\) \(a_{25}=-0.597426497\)
\(a_{26}=+0.000000000\) \(a_{27}=+2.530476914\) \(a_{28}=+0.000000000\) \(a_{29}=-1.083779632\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.353470351\) \(a_{32}=+0.000000000\) \(a_{33}=-0.506574900\) \(a_{34}=+0.000000000\) \(a_{35}=-0.899988145\)
\(a_{36}=+0.000000000\) \(a_{37}=+1.287559604\) \(a_{38}=+0.000000000\) \(a_{39}=+0.486414727\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.780907819\) \(a_{42}=+0.000000000\) \(a_{43}=-0.247403131\) \(a_{44}=+0.000000000\) \(a_{45}=-1.522349874\)
\(a_{46}=+0.000000000\)

Showing all 46 available coefficients

Rows: Cols: