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: \( 13.6459947778 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.437578428\) \(a_{4}=+0.000000000\) \(a_{5}=-0.613092623\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.964311285\) \(a_{8}=+0.000000000\) \(a_{9}=-0.808525120\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.692916965\) \(a_{12}=+0.000000000\) \(a_{13}=-0.922016142\) \(a_{14}=+0.000000000\) \(a_{15}=-0.268276106\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.335381754\) \(a_{18}=+0.000000000\) \(a_{19}=+0.336713752\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.421961816\) \(a_{22}=+0.000000000\) \(a_{23}=+1.549917829\) \(a_{24}=+0.000000000\) \(a_{25}=-0.624117435\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.791371578\) \(a_{28}=+0.000000000\) \(a_{29}=-0.945835707\) \(a_{30}=+0.000000000\)
\(a_{31}=-1.581747984\) \(a_{32}=+0.000000000\) \(a_{33}=+0.303205516\) \(a_{34}=+0.000000000\) \(a_{35}=-0.591212125\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.770144497\) \(a_{38}=+0.000000000\) \(a_{39}=-0.403454329\) \(a_{40}=+0.000000000\)
\(a_{41}=-1.565761060\) \(a_{42}=+0.000000000\) \(a_{43}=+0.836114843\) \(a_{44}=+0.000000000\) \(a_{45}=+0.495702263\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.607080614\) \(a_{48}=+0.000000000\) \(a_{49}=-0.070090565\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.146734864\) \(a_{52}=+0.000000000\) \(a_{53}=-0.620189198\) \(a_{54}=+0.000000000\) \(a_{55}=-0.424278202\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.148980218\) \(a_{58}=+0.000000000\) \(a_{59}=-0.362681714\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.902175220\) \(a_{62}=+0.000000000\) \(a_{63}=-0.736131843\) \(a_{64}=+0.000000000\) \(a_{65}=+0.723927541\)
\(a_{66}=+0.000000000\)

Showing all 66 available coefficients

Rows: Cols: