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: \( 4.5658688044 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.079699464\) \(a_{3}=-0.651493284\) \(a_{4}=+0.165750932\) \(a_{5}=-1.089321907\)
\(a_{6}=+0.703416950\) \(a_{7}=+0.222791290\) \(a_{8}=+0.900738271\) \(a_{9}=-0.575556500\) \(a_{10}=+1.176140279\)
\(a_{11}=+0.901872798\) \(a_{12}=-0.107985619\) \(a_{13}=-0.674276336\) \(a_{14}=-0.240547637\) \(a_{15}=+0.709685907\)
\(a_{16}=-1.138277561\) \(a_{17}=-0.242535625\) \(a_{18}=+0.621428045\) \(a_{19}=+1.350118693\) \(a_{20}=-0.180556122\)
\(a_{21}=-0.145147029\) \(a_{22}=-0.973751577\) \(a_{23}=+0.311015082\) \(a_{24}=-0.586824935\) \(a_{25}=+0.186622217\)
\(a_{26}=+0.728015798\) \(a_{27}=+1.026464479\) \(a_{28}=+0.036927864\) \(a_{29}=+0.916665848\) \(a_{30}=-0.766247493\)
\(a_{31}=-1.386742110\) \(a_{32}=+0.328259401\) \(a_{33}=-0.587564071\) \(a_{34}=+0.261865584\) \(a_{35}=-0.242691433\)
\(a_{36}=-0.095399027\) \(a_{37}=+0.098849106\) \(a_{38}=-1.457722429\) \(a_{39}=+0.439286505\) \(a_{40}=-0.981193931\)
\(a_{41}=+1.009048539\) \(a_{42}=+0.156715170\) \(a_{43}=+1.207799531\) \(a_{44}=+0.149486257\) \(a_{45}=+0.626966305\)
\(a_{46}=-0.335802818\) \(a_{47}=+1.599714413\) \(a_{48}=+0.741580187\) \(a_{49}=-0.950364041\) \(a_{50}=-0.201495908\)
\(a_{51}=+0.158010331\) \(a_{52}=-0.111761931\) \(a_{53}=-0.173511334\) \(a_{54}=-1.108273148\) \(a_{55}=-0.982429797\)
\(a_{56}=+0.200676642\) \(a_{57}=-0.879593261\) \(a_{58}=-0.989723625\) \(a_{59}=+0.734945228\) \(a_{60}=+0.117631101\)
\(a_{61}=-1.213946356\) \(a_{62}=+1.497264712\) \(a_{63}=-0.128228975\) \(a_{64}=+0.783856062\) \(a_{65}=+0.734503984\)
\(a_{66}=+0.634392613\) \(a_{67}=-1.501219324\) \(a_{68}=-0.040200506\) \(a_{69}=-0.202624237\) \(a_{70}=+0.262033810\)
\(a_{71}=+0.560963646\) \(a_{72}=-0.518425767\) \(a_{73}=+1.859314566\) \(a_{74}=-0.106727327\) \(a_{75}=-0.121583121\)
\(a_{76}=+0.223783432\) \(a_{77}=+0.200929404\) \(a_{78}=-0.474297404\) \(a_{79}=-1.098062529\) \(a_{80}=+1.239950683\)
\(a_{81}=-0.093178214\) \(a_{82}=-1.089469167\) \(a_{83}=+0.667250016\) \(a_{84}=-0.024058255\) \(a_{85}=+0.264199370\)
\(a_{86}=-1.304060506\) \(a_{87}=-0.597201644\) \(a_{88}=+0.812351345\) \(a_{89}=+0.997887607\) \(a_{90}=-0.676935183\)
\(a_{91}=-0.150222895\) \(a_{92}=+0.051551040\) \(a_{93}=+0.903453171\) \(a_{94}=-1.727210794\) \(a_{95}=-1.470713869\)
\(a_{96}=-0.213858795\) \(a_{97}=+1.904731807\) \(a_{98}=+1.026107546\) \(a_{99}=-0.519078752\) \(a_{100}=+0.030932807\)

Showing 100 of 546 available coefficients

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