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: \( 3.6190644248 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.092534732\) \(a_{3}=-0.145818204\) \(a_{4}=-0.991437323\) \(a_{5}=+0.595676364\)
\(a_{6}=+0.013493248\) \(a_{7}=-1.648864810\) \(a_{8}=+0.184277119\) \(a_{9}=-0.978737051\) \(a_{10}=-0.055120753\)
\(a_{11}=+1.461787690\) \(a_{12}=+0.144569610\) \(a_{13}=-0.883433538\) \(a_{14}=+0.152577263\) \(a_{15}=-0.086860458\)
\(a_{16}=+0.974385290\) \(a_{17}=+0.242535625\) \(a_{18}=+0.090567171\) \(a_{19}=-1.394286930\) \(a_{20}=-0.590575780\)
\(a_{21}=+0.240434506\) \(a_{22}=-0.135266132\) \(a_{23}=+0.034877822\) \(a_{24}=-0.026870959\) \(a_{25}=-0.645169669\)
\(a_{26}=+0.081748286\) \(a_{27}=+0.288535884\) \(a_{28}=+1.634746114\) \(a_{29}=-0.214049561\) \(a_{30}=+0.008037609\)
\(a_{31}=+0.503681886\) \(a_{32}=-0.274441601\) \(a_{33}=-0.213155256\) \(a_{34}=-0.022442969\) \(a_{35}=-0.982189795\)
\(a_{36}=+0.970356442\) \(a_{37}=+0.238190289\) \(a_{38}=+0.129019967\) \(a_{39}=+0.128820692\) \(a_{40}=+0.109769524\)
\(a_{41}=-0.879032392\) \(a_{42}=-0.022248543\) \(a_{43}=-0.556248359\) \(a_{44}=-1.449270874\) \(a_{45}=-0.583010528\)
\(a_{46}=-0.003227410\) \(a_{47}=+0.667849027\) \(a_{48}=-0.142083113\) \(a_{49}=+1.718755163\) \(a_{50}=+0.059700602\)
\(a_{51}=-0.035366109\) \(a_{52}=+0.875868982\) \(a_{53}=-0.871187226\) \(a_{54}=-0.026699591\) \(a_{55}=+0.870752376\)
\(a_{56}=-0.303848057\) \(a_{57}=+0.203312417\) \(a_{58}=+0.019807019\) \(a_{59}=+0.744394997\) \(a_{60}=+0.086116700\)
\(a_{61}=-0.902640350\) \(a_{62}=-0.046608068\) \(a_{63}=+1.613805083\) \(a_{64}=-0.948989910\) \(a_{65}=-0.526240478\)
\(a_{66}=+0.019724264\) \(a_{67}=-1.256229263\) \(a_{68}=-0.240458871\) \(a_{69}=-0.005085821\) \(a_{70}=+0.090886669\)
\(a_{71}=+1.485359443\) \(a_{72}=-0.180358844\) \(a_{73}=-1.570306751\) \(a_{74}=-0.022040875\) \(a_{75}=+0.094077483\)
\(a_{76}=+1.382348102\) \(a_{77}=-2.410290282\) \(a_{78}=-0.011920388\) \(a_{79}=-0.560971853\) \(a_{80}=+0.580418287\)
\(a_{81}=+0.936663267\) \(a_{82}=+0.081341027\) \(a_{83}=+0.659589585\) \(a_{84}=-0.238375743\) \(a_{85}=+0.144472739\)
\(a_{86}=+0.051472293\) \(a_{87}=+0.031212323\) \(a_{88}=+0.269374024\) \(a_{89}=+0.655804653\) \(a_{90}=+0.053948723\)
\(a_{91}=+1.456662473\) \(a_{92}=-0.034579174\) \(a_{93}=-0.073445988\) \(a_{94}=-0.061799231\) \(a_{95}=-0.830543769\)
\(a_{96}=+0.040018581\) \(a_{97}=-0.080927136\) \(a_{98}=-0.159044548\) \(a_{99}=-1.430705773\) \(a_{100}=+0.639645290\)

Showing 100 of 546 available coefficients

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