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: \( 6.64921164986 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.652888038\) \(a_{3}=+0.468343050\) \(a_{4}=+1.732038865\) \(a_{5}=+0.370338859\)
\(a_{6}=-0.774118625\) \(a_{7}=-0.023312658\) \(a_{8}=-1.209978284\) \(a_{9}=-0.780654787\) \(a_{10}=-0.612128670\)
\(a_{11}=+0.185356007\) \(a_{12}=+0.811188365\) \(a_{13}=+0.136828081\) \(a_{14}=+0.038533214\) \(a_{15}=+0.173445631\)
\(a_{16}=+0.267919766\) \(a_{17}=-0.242535624\) \(a_{18}=+1.290334960\) \(a_{19}=+0.708454105\) \(a_{20}=+0.641441297\)
\(a_{21}=-0.010918322\) \(a_{22}=-0.306372728\) \(a_{23}=+0.953976524\) \(a_{24}=-0.566684920\) \(a_{25}=-0.862849129\)
\(a_{26}=-0.226161499\) \(a_{27}=-0.833957294\) \(a_{28}=-0.040378431\) \(a_{29}=+1.157401670\) \(a_{30}=-0.286686208\)
\(a_{31}=+1.951262007\) \(a_{32}=+0.767136907\) \(a_{33}=+0.086810198\) \(a_{34}=+0.400884233\) \(a_{35}=-0.008633583\)
\(a_{36}=-1.352124433\) \(a_{37}=+0.434771202\) \(a_{38}=-1.170995313\) \(a_{39}=+0.064082481\) \(a_{40}=-0.448101981\)
\(a_{41}=+0.501134794\) \(a_{42}=+0.018046769\) \(a_{43}=-0.701022290\) \(a_{44}=+0.321043789\) \(a_{45}=-0.289106804\)
\(a_{46}=-1.576816356\) \(a_{47}=+1.296682221\) \(a_{48}=+0.125478358\) \(a_{49}=-0.999456513\) \(a_{50}=+1.426193006\)
\(a_{51}=-0.113589880\) \(a_{52}=+0.236991553\) \(a_{53}=+1.396085485\) \(a_{54}=+1.378438049\) \(a_{55}=+0.068644531\)
\(a_{56}=+0.028207801\) \(a_{57}=+0.331799554\) \(a_{58}=-1.913055393\) \(a_{59}=+0.620805782\) \(a_{60}=+0.300414576\)
\(a_{61}=+0.641901686\) \(a_{62}=-3.225217622\) \(a_{63}=+0.018199156\) \(a_{64}=-1.535911193\) \(a_{65}=+0.050672748\)
\(a_{66}=-0.143487524\) \(a_{67}=+0.723407735\) \(a_{68}=-0.420081112\) \(a_{69}=+0.446788254\) \(a_{70}=+0.014270382\)
\(a_{71}=+1.320480374\) \(a_{72}=+0.944575344\) \(a_{73}=+0.663136483\) \(a_{74}=-0.718628134\) \(a_{75}=-0.404109401\)
\(a_{76}=+1.227070017\) \(a_{77}=-0.004321103\) \(a_{78}=-0.105921128\) \(a_{79}=-1.401393867\) \(a_{80}=+0.099221067\)
\(a_{81}=+0.390076629\) \(a_{82}=-0.828319686\) \(a_{83}=-0.673232065\) \(a_{84}=-0.018910956\) \(a_{85}=-0.089820405\)
\(a_{86}=+1.158711356\) \(a_{87}=+0.542061013\) \(a_{88}=-0.224276690\) \(a_{89}=-0.793869649\) \(a_{90}=+0.477861177\)
\(a_{91}=-0.003189824\) \(a_{92}=+1.652324402\) \(a_{93}=+0.913859984\) \(a_{94}=-2.143270507\) \(a_{95}=+0.262368148\)
\(a_{96}=+0.359283189\) \(a_{97}=-0.444048109\) \(a_{98}=+1.651989726\) \(a_{99}=-0.144699009\) \(a_{100}=-1.494488150\)

Showing 100 of 2000 available coefficients

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