Properties

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

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 4 = 2^{2} \)
Weight: \( 0 \)
Character: 4.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 20.6748407007 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.735245017\) \(a_{4}=+0.000000000\) \(a_{5}=-1.211086130\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.172647168\) \(a_{8}=+0.000000000\) \(a_{9}=+2.011075270\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.711067385\) \(a_{12}=+0.000000000\) \(a_{13}=-1.713434725\) \(a_{14}=+0.000000000\) \(a_{15}=-2.101531172\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.738765299\) \(a_{18}=+0.000000000\) \(a_{19}=-0.481793087\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.299585138\) \(a_{22}=+0.000000000\) \(a_{23}=-1.635959206\) \(a_{24}=+0.000000000\) \(a_{25}=+0.466729613\)
\(a_{26}=+0.000000000\) \(a_{27}=+1.754463326\) \(a_{28}=+0.000000000\) \(a_{29}=-0.301382493\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.956490953\) \(a_{32}=+0.000000000\) \(a_{33}=-1.233872797\) \(a_{34}=+0.000000000\) \(a_{35}=-0.209108732\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.074041237\) \(a_{38}=+0.000000000\) \(a_{39}=-2.978015970\) \(a_{40}=+0.000000000\)

Showing all 40 available coefficients

Rows: Cols: