Properties

Level $17$
Weight $0$
Character 17.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 17 \)
Weight: \( 0 \)
Character: 17.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 3.8979328254 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.538788232\) \(a_{3}=+1.619206986\) \(a_{4}=+1.367869222\) \(a_{5}=-1.160694642\)
\(a_{6}=+2.491616655\) \(a_{7}=-1.038632799\) \(a_{8}=+0.566072830\) \(a_{9}=+1.621831264\) \(a_{10}=-1.786063256\)
\(a_{11}=+0.699984354\) \(a_{12}=+2.214863401\) \(a_{13}=-0.121279460\) \(a_{14}=-1.598235929\) \(a_{15}=-1.879404873\)
\(a_{16}=-0.496803013\) \(a_{17}=-0.242535625\) \(a_{18}=+2.495654863\) \(a_{19}=+1.861095455\) \(a_{20}=-1.587678478\)
\(a_{21}=-1.681761485\) \(a_{22}=+1.077127687\) \(a_{23}=+0.949965873\) \(a_{24}=+0.916589082\) \(a_{25}=+0.347212052\)
\(a_{26}=-0.186623406\) \(a_{27}=+1.006873527\) \(a_{28}=-1.420713840\) \(a_{29}=-0.627208851\) \(a_{30}=-2.892006102\)
\(a_{31}=+0.111687762\) \(a_{32}=-1.330547460\) \(a_{33}=+1.133419557\) \(a_{34}=-0.373210966\) \(a_{35}=+1.205535525\)
\(a_{36}=+2.218453070\) \(a_{37}=-0.680046879\) \(a_{38}=+2.863831785\) \(a_{39}=-0.196376549\) \(a_{40}=-0.657037701\)
\(a_{41}=-0.720310612\) \(a_{42}=-2.587874782\) \(a_{43}=+0.792681917\) \(a_{44}=+0.957487054\) \(a_{45}=-1.882450858\)
\(a_{46}=+1.461796306\) \(a_{47}=+0.420368601\) \(a_{48}=-0.804426909\) \(a_{49}=+0.078758092\) \(a_{50}=+0.534285820\)
\(a_{51}=-0.392715379\) \(a_{52}=-0.165894441\) \(a_{53}=+0.110025474\) \(a_{54}=+1.549365134\) \(a_{55}=-0.812468090\)
\(a_{56}=-0.587941808\) \(a_{57}=+3.013498763\) \(a_{58}=-0.965141599\) \(a_{59}=-0.143876195\) \(a_{60}=-2.570780082\)
\(a_{61}=-0.439969690\) \(a_{62}=+0.171863813\) \(a_{63}=-1.684487146\) \(a_{64}=-1.550627760\) \(a_{65}=+0.140768420\)
\(a_{66}=+1.744092676\) \(a_{67}=+0.860654229\) \(a_{68}=-0.331757017\) \(a_{69}=+1.538191378\) \(a_{70}=+1.855063879\)
\(a_{71}=-0.671916281\) \(a_{72}=+0.918074614\) \(a_{73}=-1.178379997\) \(a_{74}=-1.046448135\) \(a_{75}=+0.562208180\)
\(a_{76}=+2.545735193\) \(a_{77}=-0.727026709\) \(a_{78}=-0.302181923\) \(a_{79}=-0.233174017\) \(a_{80}=+0.576636595\)
\(a_{81}=+0.008505385\) \(a_{82}=-1.108405493\) \(a_{83}=+0.486323838\) \(a_{84}=-2.300429775\) \(a_{85}=+0.281509801\)
\(a_{86}=+1.219769605\) \(a_{87}=-1.015580954\) \(a_{88}=+0.396242125\) \(a_{89}=+1.643159889\) \(a_{90}=-2.896693228\)
\(a_{91}=+0.125964825\) \(a_{92}=+1.299429080\) \(a_{93}=+0.180845604\) \(a_{94}=+0.646858257\) \(a_{95}=-2.160163523\)
\(a_{96}=-2.154431742\) \(a_{97}=-0.917543118\) \(a_{98}=+0.121192025\) \(a_{99}=+1.135256510\) \(a_{100}=+0.474940680\)

Showing 100 of 546 available coefficients

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