Properties

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

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 4 = 2^{2} \)
Weight: \( 0 \)
Character: 4.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 20.4532809984 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.060207240\) \(a_{4}=+0.000000000\) \(a_{5}=+1.098295578\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.873326386\) \(a_{8}=+0.000000000\) \(a_{9}=+0.124039391\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.594636052\) \(a_{12}=+0.000000000\) \(a_{13}=+1.203596740\) \(a_{14}=+0.000000000\) \(a_{15}=+1.164420923\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.466840734\) \(a_{18}=+0.000000000\) \(a_{19}=-0.630388689\) \(a_{20}=+0.000000000\)
\(a_{21}=+1.986114196\) \(a_{22}=+0.000000000\) \(a_{23}=-0.827133391\) \(a_{24}=+0.000000000\) \(a_{25}=+0.206253162\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.928699883\) \(a_{28}=+0.000000000\) \(a_{29}=-1.168813309\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.357736467\) \(a_{32}=+0.000000000\) \(a_{33}=+0.630385243\) \(a_{34}=+0.000000000\) \(a_{35}=+2.056882342\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.046355803\) \(a_{38}=+0.000000000\) \(a_{39}=+1.221713739\) \(a_{40}=+0.000000000\)

Showing all 40 available coefficients

Rows: Cols: