Properties

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

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Maass form invariants

Level: \( 4 = 2^{2} \)
Weight: \( 0 \)
Character: 4.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 14.4778027317 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.248514460\) \(a_{4}=+0.000000000\) \(a_{5}=-0.051539996\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.710315052\) \(a_{8}=+0.000000000\) \(a_{9}=-0.938240563\) \(a_{10}=+0.000000000\)
\(a_{11}=+1.032064414\) \(a_{12}=+0.000000000\) \(a_{13}=+0.311950533\) \(a_{14}=+0.000000000\) \(a_{15}=+0.012808434\)
\(a_{16}=+0.000000000\) \(a_{17}=-1.785662055\) \(a_{18}=+0.000000000\) \(a_{19}=-1.536714890\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.176523562\) \(a_{22}=+0.000000000\) \(a_{23}=-0.991085000\) \(a_{24}=+0.000000000\) \(a_{25}=-0.997343629\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.481680808\) \(a_{28}=+0.000000000\) \(a_{29}=+0.399902344\) \(a_{30}=+0.000000000\)

Showing all 30 available coefficients

Rows: Cols: