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: \( 21.9768401028 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-1.554505353\) \(a_{4}=+0.000000000\) \(a_{5}=+1.545180882\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.888115471\) \(a_{8}=+0.000000000\) \(a_{9}=+1.416486894\) \(a_{10}=+0.000000000\)
\(a_{11}=+1.610890193\) \(a_{12}=+0.000000000\) \(a_{13}=-0.883561628\) \(a_{14}=+0.000000000\) \(a_{15}=-2.401991953\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.356594565\) \(a_{18}=+0.000000000\) \(a_{19}=-0.002699182\) \(a_{20}=+0.000000000\)
\(a_{21}=-1.380580254\) \(a_{22}=+0.000000000\) \(a_{23}=+0.133260618\) \(a_{24}=+0.000000000\) \(a_{25}=+1.387583960\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.647431104\) \(a_{28}=+0.000000000\) \(a_{29}=+0.703301429\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.649936264\) \(a_{32}=+0.000000000\) \(a_{33}=-2.504129826\) \(a_{34}=+0.000000000\) \(a_{35}=+1.372199641\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.609469496\) \(a_{38}=+0.000000000\) \(a_{39}=+1.345744861\) \(a_{40}=+0.000000000\)

Showing all 40 available coefficients

Rows: Cols: