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: \( 4.03161585629 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.869748406\) \(a_{3}=-0.925546184\) \(a_{4}=-0.243537711\) \(a_{5}=-0.755588010\)
\(a_{6}=-0.804992318\) \(a_{7}=+1.031304057\) \(a_{8}=-1.081564941\) \(a_{9}=-0.143364261\) \(a_{10}=-0.657171467\)
\(a_{11}=-1.508935087\) \(a_{12}=+0.225405399\) \(a_{13}=+0.986678539\) \(a_{14}=+0.896975059\) \(a_{15}=+0.699331600\)
\(a_{16}=-0.697151672\) \(a_{17}=+0.242535625\) \(a_{18}=-0.124690837\) \(a_{19}=-0.226241411\) \(a_{20}=+0.184014175\)
\(a_{21}=-0.954519535\) \(a_{22}=-1.312393886\) \(a_{23}=-0.441220854\) \(a_{24}=+1.001038305\) \(a_{25}=-0.429086758\)
\(a_{26}=+0.858162086\) \(a_{27}=+1.058236429\) \(a_{28}=-0.251161429\) \(a_{29}=-0.592154032\) \(a_{30}=+0.608242544\)
\(a_{31}=-0.852217896\) \(a_{32}=+0.475218386\) \(a_{33}=+1.396589112\) \(a_{34}=+0.210944973\) \(a_{35}=-0.779240981\)
\(a_{36}=+0.034914604\) \(a_{37}=+0.129575981\) \(a_{38}=-0.196773106\) \(a_{39}=-0.913216557\) \(a_{40}=+0.817217502\)
\(a_{41}=-1.665117440\) \(a_{42}=-0.830191844\) \(a_{43}=+1.533438233\) \(a_{44}=+0.367482597\) \(a_{45}=+0.108324316\)
\(a_{46}=-0.383751134\) \(a_{47}=-1.248907229\) \(a_{48}=+0.645246070\) \(a_{49}=+0.063588058\) \(a_{50}=-0.373197524\)
\(a_{51}=-0.224477922\) \(a_{52}=-0.240293433\) \(a_{53}=+1.359349657\) \(a_{54}=+0.920399447\) \(a_{55}=+1.140133260\)
\(a_{56}=-1.115422312\) \(a_{57}=+0.209396875\) \(a_{58}=-0.515025025\) \(a_{59}=+0.723099998\) \(a_{60}=-0.170313617\)
\(a_{61}=-0.879921959\) \(a_{62}=-0.741215157\) \(a_{63}=-0.147852144\) \(a_{64}=+1.110472106\) \(a_{65}=-0.745522474\)
\(a_{66}=+1.214681154\) \(a_{67}=+0.589550581\) \(a_{68}=-0.059066571\) \(a_{69}=+0.408370277\) \(a_{70}=-0.677743601\)
\(a_{71}=+0.000151404\) \(a_{72}=+0.155057758\) \(a_{73}=-1.583382044\) \(a_{74}=+0.112698503\) \(a_{75}=+0.397139612\)
\(a_{76}=+0.055098315\) \(a_{77}=-1.556170877\) \(a_{78}=-0.794268644\) \(a_{79}=+0.112239203\) \(a_{80}=+0.526759445\)
\(a_{81}=-0.836082428\) \(a_{82}=-1.448233239\) \(a_{83}=+1.577527193\) \(a_{84}=+0.232461503\) \(a_{85}=-0.183257010\)
\(a_{86}=+1.333705458\) \(a_{87}=+0.548065905\) \(a_{88}=+1.632011289\) \(a_{89}=-0.742926378\) \(a_{90}=+0.094214901\)
\(a_{91}=+1.017565580\) \(a_{92}=+0.107453917\) \(a_{93}=+0.788767022\) \(a_{94}=-1.086235071\) \(a_{95}=+0.170945298\)
\(a_{96}=-0.439836564\) \(a_{97}=+1.112735133\) \(a_{98}=+0.055305612\) \(a_{99}=+0.216327363\) \(a_{100}=+0.104498807\)

Showing 100 of 546 available coefficients

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