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: \( 5.11307281396 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.418051552\) \(a_{3}=+0.779855962\) \(a_{4}=-0.825232900\) \(a_{5}=-0.558643744\)
\(a_{6}=+0.326019995\) \(a_{7}=-0.531464508\) \(a_{8}=-0.763041447\) \(a_{9}=-0.391824679\) \(a_{10}=-0.233541884\)
\(a_{11}=-0.477475405\) \(a_{12}=-0.643562797\) \(a_{13}=-0.555163131\) \(a_{14}=-0.222179563\) \(a_{15}=-0.435661654\)
\(a_{16}=+0.506242238\) \(a_{17}=+0.242535625\) \(a_{18}=-0.163802915\) \(a_{19}=+0.842259254\) \(a_{20}=+0.461011196\)
\(a_{21}=-0.414465765\) \(a_{22}=-0.199609334\) \(a_{23}=-0.267810737\) \(a_{24}=-0.595062421\) \(a_{25}=-0.687917168\)
\(a_{26}=-0.232086808\) \(a_{27}=-1.085422774\) \(a_{28}=+0.438581997\) \(a_{29}=+1.137518219\) \(a_{30}=-0.182129031\)
\(a_{31}=+0.412986419\) \(a_{32}=+0.974676800\) \(a_{33}=-0.372362041\) \(a_{34}=+0.101392395\) \(a_{35}=+0.296899322\)
\(a_{36}=+0.323346616\) \(a_{37}=-1.336343338\) \(a_{38}=+0.352107788\) \(a_{39}=-0.432947277\) \(a_{40}=+0.426268331\)
\(a_{41}=+1.084623565\) \(a_{42}=-0.173268056\) \(a_{43}=-1.184465841\) \(a_{44}=+0.394028413\) \(a_{45}=+0.218890405\)
\(a_{46}=-0.111958694\) \(a_{47}=-1.035669557\) \(a_{48}=+0.394796028\) \(a_{49}=-0.717545477\) \(a_{50}=-0.287584840\)
\(a_{51}=+0.189142853\) \(a_{52}=+0.458138880\) \(a_{53}=-0.052131711\) \(a_{54}=-0.453762675\) \(a_{55}=+0.266738648\)
\(a_{56}=+0.405529447\) \(a_{57}=+0.656840901\) \(a_{58}=+0.475541257\) \(a_{59}=-1.959044541\) \(a_{60}=+0.359522330\)
\(a_{61}=+1.336016243\) \(a_{62}=+0.172649613\) \(a_{63}=+0.208240910\) \(a_{64}=-0.098777089\) \(a_{65}=+0.310138410\)
\(a_{66}=-0.155666529\) \(a_{67}=+1.048272208\) \(a_{68}=-0.200148377\) \(a_{69}=-0.208853800\) \(a_{70}=+0.124119223\)
\(a_{71}=-1.255272222\) \(a_{72}=+0.298978470\) \(a_{73}=+0.197782544\) \(a_{74}=-0.558660407\) \(a_{75}=-0.536476304\)
\(a_{76}=-0.695060046\) \(a_{77}=+0.253761231\) \(a_{78}=-0.180994281\) \(a_{79}=-0.617422250\) \(a_{80}=-0.282809059\)
\(a_{81}=-0.454648742\) \(a_{82}=+0.453428565\) \(a_{83}=+0.319148027\) \(a_{84}=+0.342030785\) \(a_{85}=-0.135491010\)
\(a_{86}=-0.495167783\) \(a_{87}=+0.887100365\) \(a_{88}=+0.364333524\) \(a_{89}=+0.703927797\) \(a_{90}=+0.091507474\)
\(a_{91}=+0.295049500\) \(a_{92}=+0.221006231\) \(a_{93}=+0.322069921\) \(a_{94}=-0.432963266\) \(a_{95}=-0.470522863\)
\(a_{96}=+0.760107514\) \(a_{97}=-0.643205037\) \(a_{98}=-0.299971000\) \(a_{99}=+0.187086647\) \(a_{100}=+0.567691879\)

Showing 100 of 546 available coefficients

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