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: \( 18.246377892 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-1.621530768\) \(a_{4}=+0.000000000\) \(a_{5}=+0.602567974\)
\(a_{6}=+0.000000000\) \(a_{7}=-1.329660730\) \(a_{8}=+0.000000000\) \(a_{9}=+1.629362033\) \(a_{10}=+0.000000000\)
\(a_{11}=+1.139314015\) \(a_{12}=+0.000000000\) \(a_{13}=+1.549319312\) \(a_{14}=+0.000000000\) \(a_{15}=-0.977082511\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.201011651\) \(a_{18}=+0.000000000\) \(a_{19}=-0.569048534\) \(a_{20}=+0.000000000\)
\(a_{21}=+2.156085759\) \(a_{22}=+0.000000000\) \(a_{23}=-0.167745254\) \(a_{24}=+0.000000000\) \(a_{25}=-0.636912203\)
\(a_{26}=+0.000000000\) \(a_{27}=-1.020526916\) \(a_{28}=+0.000000000\) \(a_{29}=-1.065566587\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.990161799\) \(a_{32}=+0.000000000\) \(a_{33}=-1.847876801\) \(a_{34}=+0.000000000\) \(a_{35}=-0.838782530\)
\(a_{36}=+0.000000000\)

Showing all 36 available coefficients

Rows: Cols: