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: \( 14.8479980699 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.498862822\) \(a_{4}=+0.000000000\) \(a_{5}=+0.190613867\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.823091955\) \(a_{8}=+0.000000000\) \(a_{9}=-0.751135885\) \(a_{10}=+0.000000000\)
\(a_{11}=+1.256126449\) \(a_{12}=+0.000000000\) \(a_{13}=-0.168136881\) \(a_{14}=+0.000000000\) \(a_{15}=+0.095090172\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.445734695\) \(a_{18}=+0.000000000\) \(a_{19}=+0.403546728\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.410609975\) \(a_{22}=+0.000000000\) \(a_{23}=-0.028015049\) \(a_{24}=+0.000000000\) \(a_{25}=-0.963666354\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.873576589\) \(a_{28}=+0.000000000\) \(a_{29}=-1.028893172\) \(a_{30}=+0.000000000\)
\(a_{31}=+1.774032790\) \(a_{32}=+0.000000000\) \(a_{33}=+0.626634785\) \(a_{34}=+0.000000000\) \(a_{35}=+0.156892744\)
\(a_{36}=+0.000000000\) \(a_{37}=+1.183136337\) \(a_{38}=+0.000000000\) \(a_{39}=-0.083877220\) \(a_{40}=+0.000000000\)
\(a_{41}=+1.767783580\) \(a_{42}=+0.000000000\) \(a_{43}=+1.706657214\) \(a_{44}=+0.000000000\) \(a_{45}=-0.143176197\)
\(a_{46}=+0.000000000\) \(a_{47}=+0.880610929\) \(a_{48}=+0.000000000\) \(a_{49}=-0.322513452\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.222382772\) \(a_{52}=+0.000000000\) \(a_{53}=+0.076217225\) \(a_{54}=+0.000000000\) \(a_{55}=+0.239590336\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.201948717\) \(a_{58}=+0.000000000\) \(a_{59}=+1.356049084\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.024539211\) \(a_{62}=+0.000000000\) \(a_{63}=-0.612088494\) \(a_{64}=+0.000000000\) \(a_{65}=-0.004219429\)
\(a_{66}=+0.000000000\)

Showing all 66 available coefficients

Rows: Cols: