Properties

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

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Maass form invariants

Level: \( 4 = 2^{2} \)
Weight: \( 0 \)
Character: 4.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 26.0106826228 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-1.149176126\) \(a_{4}=+0.000000000\) \(a_{5}=-0.646225876\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.147837337\) \(a_{8}=+0.000000000\) \(a_{9}=+0.320605768\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.190154453\) \(a_{12}=+0.000000000\) \(a_{13}=-1.542484095\) \(a_{14}=+0.000000000\) \(a_{15}=+0.742627348\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.308335095\) \(a_{18}=+0.000000000\) \(a_{19}=-1.572924355\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.169891139\) \(a_{22}=+0.000000000\) \(a_{23}=-1.868092872\) \(a_{24}=+0.000000000\) \(a_{25}=-0.582392118\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.780743631\) \(a_{28}=+0.000000000\) \(a_{29}=+0.077113839\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.808722176\) \(a_{32}=+0.000000000\) \(a_{33}=-0.218520909\) \(a_{34}=+0.000000000\) \(a_{35}=-0.095535894\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.237538488\) \(a_{38}=+0.000000000\) \(a_{39}=+1.772616729\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.842953702\) \(a_{42}=+0.000000000\) \(a_{43}=-1.779866963\) \(a_{44}=+0.000000000\) \(a_{45}=-0.178898666\)
\(a_{46}=+0.000000000\)

Showing all 46 available coefficients

Rows: Cols: