Properties

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

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Maass form invariants

Level: \( 8 = 2^{3} \)
Weight: \( 0 \)
Character: 8.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 14.3364791366 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-1.335281897\) \(a_{4}=+0.000000000\) \(a_{5}=+0.831731764\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.525390446\) \(a_{8}=+0.000000000\) \(a_{9}=+0.782977745\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.986822810\) \(a_{12}=+0.000000000\) \(a_{13}=-1.440829120\) \(a_{14}=+0.000000000\) \(a_{15}=-1.110596368\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.777365638\) \(a_{18}=+0.000000000\) \(a_{19}=+1.033778777\) \(a_{20}=+0.000000000\)
\(a_{21}=-2.036826249\) \(a_{22}=+0.000000000\) \(a_{23}=-0.058353589\) \(a_{24}=+0.000000000\) \(a_{25}=-0.308222273\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.289785889\) \(a_{28}=+0.000000000\) \(a_{29}=-1.144162351\) \(a_{30}=+0.000000000\)
\(a_{31}=+1.273135974\) \(a_{32}=+0.000000000\) \(a_{33}=+1.317686628\) \(a_{34}=+0.000000000\) \(a_{35}=+1.268715670\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.082016495\) \(a_{38}=+0.000000000\) \(a_{39}=+1.923912903\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.784477266\) \(a_{42}=+0.000000000\) \(a_{43}=-1.402273112\) \(a_{44}=+0.000000000\) \(a_{45}=+0.651223889\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.596813012\) \(a_{48}=+0.000000000\) \(a_{49}=+1.326787097\) \(a_{50}=+0.000000000\)
\(a_{51}=-1.038079782\) \(a_{52}=+0.000000000\) \(a_{53}=+0.777665069\) \(a_{54}=+0.000000000\) \(a_{55}=-0.821345657\)
\(a_{56}=+0.000000000\) \(a_{57}=-1.381874636\) \(a_{58}=+0.000000000\) \(a_{59}=+1.305435054\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.307364171\) \(a_{62}=+0.000000000\) \(a_{63}=+1.179200731\) \(a_{64}=+0.000000000\) \(a_{65}=-1.232511054\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.548943958\) \(a_{68}=+0.000000000\)

Showing all 68 available coefficients

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