Properties

Level $17$
Weight $0$
Character 17.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 17 \)
Weight: \( 0 \)
Character: 17.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 4.42264984343 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.862571539\) \(a_{3}=+0.305365797\) \(a_{4}=+2.469172739\) \(a_{5}=-0.327485010\)
\(a_{6}=+0.568765642\) \(a_{7}=+0.983623186\) \(a_{8}=+2.736439330\) \(a_{9}=-0.906751730\) \(a_{10}=-0.609964260\)
\(a_{11}=-1.217709336\) \(a_{12}=+0.754000900\) \(a_{13}=-1.104531557\) \(a_{14}=+1.832068551\) \(a_{15}=-0.100002721\)
\(a_{16}=+2.627641275\) \(a_{17}=+0.242535625\) \(a_{18}=-1.688889966\) \(a_{19}=+0.188329276\) \(a_{20}=-0.808617060\)
\(a_{21}=+0.300364878\) \(a_{22}=-2.268070753\) \(a_{23}=+1.812149215\) \(a_{24}=+0.835614976\) \(a_{25}=-0.892753568\)
\(a_{26}=-2.057269042\) \(a_{27}=-0.582256761\) \(a_{28}=+2.428735555\) \(a_{29}=-0.262747181\) \(a_{30}=-0.186262222\)
\(a_{31}=+1.309795229\) \(a_{32}=+2.157730525\) \(a_{33}=-0.371846782\) \(a_{34}=+0.451739952\) \(a_{35}=-0.322121849\)
\(a_{36}=-2.238926653\) \(a_{37}=-0.493599112\) \(a_{38}=+0.350776749\) \(a_{39}=-0.337286159\) \(a_{40}=-0.896142862\)
\(a_{41}=+0.238008927\) \(a_{42}=+0.559451073\) \(a_{43}=+0.425573933\) \(a_{44}=-3.006734697\) \(a_{45}=+0.296947600\)
\(a_{46}=+3.375257553\) \(a_{47}=+1.268530210\) \(a_{48}=+0.802391771\) \(a_{49}=-0.032485429\) \(a_{50}=-1.662817387\)
\(a_{51}=+0.074062084\) \(a_{52}=-2.727279209\) \(a_{53}=-0.294524725\) \(a_{54}=-1.084494872\) \(a_{55}=+0.398781555\)
\(a_{56}=+2.691625171\) \(a_{57}=+0.057509319\) \(a_{58}=-0.489385422\) \(a_{59}=-0.483829963\) \(a_{60}=-0.246923993\)
\(a_{61}=+0.574543563\) \(a_{62}=+2.439587317\) \(a_{63}=-0.891902025\) \(a_{64}=+1.391286190\) \(a_{65}=+0.361717528\)
\(a_{66}=-0.692591232\) \(a_{67}=-1.642091618\) \(a_{68}=+0.598862354\) \(a_{69}=+0.553368389\) \(a_{70}=-0.599974988\)
\(a_{71}=+1.092208289\) \(a_{72}=-2.481271097\) \(a_{73}=+0.830287745\) \(a_{74}=-0.919363658\) \(a_{75}=-0.272616404\)
\(a_{76}=+0.465017513\) \(a_{77}=-1.197767136\) \(a_{78}=-0.628219600\) \(a_{79}=+0.437282264\) \(a_{80}=-0.860513130\)
\(a_{81}=+0.728950431\) \(a_{82}=+0.443308654\) \(a_{83}=+0.408581090\) \(a_{84}=+0.741652768\) \(a_{85}=-0.079426782\)
\(a_{86}=+0.792661896\) \(a_{87}=-0.080234002\) \(a_{88}=-3.332187719\) \(a_{89}=-0.582420304\) \(a_{90}=+0.553086148\)
\(a_{91}=-1.086442848\) \(a_{92}=+4.474509440\) \(a_{93}=+0.399966664\) \(a_{94}=+2.362728265\) \(a_{95}=-0.061675015\)
\(a_{96}=+0.658897101\) \(a_{97}=+0.352880368\) \(a_{98}=-0.060506435\) \(a_{99}=+1.104160048\) \(a_{100}=-2.204362773\)

Showing 100 of 546 available coefficients

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