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: \( 23.9017552273 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.203743395\) \(a_{4}=+0.000000000\) \(a_{5}=+0.397685263\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.002353375\) \(a_{8}=+0.000000000\) \(a_{9}=+0.448998161\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.998778381\) \(a_{12}=+0.000000000\) \(a_{13}=-1.033877085\) \(a_{14}=+0.000000000\) \(a_{15}=+0.478711009\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.955683824\) \(a_{18}=+0.000000000\) \(a_{19}=-0.008539978\) \(a_{20}=+0.000000000\)
\(a_{21}=+1.206576255\) \(a_{22}=+0.000000000\) \(a_{23}=+0.786795108\) \(a_{24}=+0.000000000\) \(a_{25}=-0.841846432\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.663264830\) \(a_{28}=+0.000000000\) \(a_{29}=+1.057538946\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.357264076\) \(a_{32}=+0.000000000\) \(a_{33}=+1.202269489\) \(a_{34}=+0.000000000\) \(a_{35}=+0.398593391\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.654642265\) \(a_{38}=+0.000000000\) \(a_{39}=-1.246035841\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.402972831\) \(a_{42}=+0.000000000\)

Showing all 42 available coefficients

Rows: Cols: