Properties

Level $8$
Weight $0$
Character 8.1
Symmetry odd
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 8 = 2^{3} \)
Weight: \( 0 \)
Character: 8.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 14.4492628268 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.431328901\) \(a_{4}=+0.000000000\) \(a_{5}=+1.619388770\)
\(a_{6}=+0.000000000\) \(a_{7}=-1.054495793\) \(a_{8}=+0.000000000\) \(a_{9}=-0.813955379\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.512481930\) \(a_{12}=+0.000000000\) \(a_{13}=+1.661733172\) \(a_{14}=+0.000000000\) \(a_{15}=-0.698489178\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.351204219\) \(a_{18}=+0.000000000\) \(a_{19}=-0.833727875\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.454834511\) \(a_{22}=+0.000000000\) \(a_{23}=+0.000678619\) \(a_{24}=+0.000000000\) \(a_{25}=+1.622419990\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.782411384\) \(a_{28}=+0.000000000\) \(a_{29}=-1.369428727\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.978241323\) \(a_{32}=+0.000000000\) \(a_{33}=+0.221048424\) \(a_{34}=+0.000000000\) \(a_{35}=-1.707638166\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.293449795\) \(a_{38}=+0.000000000\) \(a_{39}=-0.716749447\) \(a_{40}=+0.000000000\)
\(a_{41}=-1.276053226\) \(a_{42}=+0.000000000\) \(a_{43}=-1.010157588\) \(a_{44}=+0.000000000\) \(a_{45}=-1.318032979\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.227576112\) \(a_{48}=+0.000000000\) \(a_{49}=+0.112387007\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.150586253\) \(a_{52}=+0.000000000\) \(a_{53}=-0.775975776\) \(a_{54}=+0.000000000\) \(a_{55}=-0.826888304\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.363920683\) \(a_{58}=+0.000000000\)

Showing all 58 available coefficients

Rows: Cols: