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: \( 1.84968790603 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.180577602\) \(a_{3}=+0.352365484\) \(a_{4}=+0.393763475\) \(a_{5}=+1.532577120\)
\(a_{6}=-0.415994798\) \(a_{7}=-0.564809815\) \(a_{8}=+0.715709263\) \(a_{9}=-0.875838566\) \(a_{10}=-1.809326222\)
\(a_{11}=+0.302058148\) \(a_{12}=+0.138748657\) \(a_{13}=+1.294089211\) \(a_{14}=+0.666801817\) \(a_{15}=+0.540027278\)
\(a_{16}=-1.238713801\) \(a_{17}=-0.242535625\) \(a_{18}=+1.033995394\) \(a_{19}=-0.623642182\) \(a_{20}=+0.603472893\)
\(a_{21}=-0.199019484\) \(a_{22}=-0.356603085\) \(a_{23}=-0.365830321\) \(a_{24}=+0.252191241\) \(a_{25}=+1.348792630\)
\(a_{26}=-1.527772738\) \(a_{27}=-0.660980764\) \(a_{28}=-0.222401476\) \(a_{29}=+1.495623872\) \(a_{30}=-0.637544109\)
\(a_{31}=-1.266643670\) \(a_{32}=+0.746688506\) \(a_{33}=+0.106434866\) \(a_{34}=+0.286332127\) \(a_{35}=-0.865614600\)
\(a_{36}=-0.344873237\) \(a_{37}=+0.387014878\) \(a_{38}=+0.736257992\) \(a_{39}=+0.455992371\) \(a_{40}=+1.096879641\)
\(a_{41}=+0.533514646\) \(a_{42}=+0.234957945\) \(a_{43}=+0.172768592\) \(a_{44}=+0.118939466\) \(a_{45}=-1.342290147\)
\(a_{46}=+0.431891083\) \(a_{47}=-0.047072852\) \(a_{48}=-0.436479988\) \(a_{49}=-0.680989873\) \(a_{50}=-1.592354369\)
\(a_{51}=-0.085461183\) \(a_{52}=+0.509565065\) \(a_{53}=-0.311226066\) \(a_{54}=+0.780339085\) \(a_{55}=+0.462927407\)
\(a_{56}=-0.404239616\) \(a_{57}=-0.219749979\) \(a_{58}=-1.765700045\) \(a_{59}=-0.075632845\) \(a_{60}=+0.212643018\)
\(a_{61}=-0.594625401\) \(a_{62}=+1.495371147\) \(a_{63}=+0.494682219\) \(a_{64}=+0.357190075\) \(a_{65}=+1.983291517\)
\(a_{66}=-0.125654618\) \(a_{67}=+1.188168819\) \(a_{68}=-0.095501671\) \(a_{69}=-0.128905978\) \(a_{70}=+1.021925209\)
\(a_{71}=-1.227083529\) \(a_{72}=-0.626845774\) \(a_{73}=-0.319225901\) \(a_{74}=-0.456901097\) \(a_{75}=+0.475267967\)
\(a_{76}=-0.245567513\) \(a_{77}=-0.170605407\) \(a_{78}=-0.538334380\) \(a_{79}=-0.499487472\) \(a_{80}=-1.898424430\)
\(a_{81}=+0.642931760\) \(a_{82}=-0.629855442\) \(a_{83}=+1.858879910\) \(a_{84}=-0.078366604\) \(a_{85}=-0.371704550\)
\(a_{86}=-0.203966730\) \(a_{87}=+0.527006229\) \(a_{88}=+0.216185815\) \(a_{89}=-0.352044904\) \(a_{90}=+1.584677684\)
\(a_{91}=-0.730914288\) \(a_{92}=-0.144050618\) \(a_{93}=-0.446321509\) \(a_{94}=+0.055573154\) \(a_{95}=-0.955779739\)
\(a_{96}=+0.263107257\) \(a_{97}=-0.613235854\) \(a_{98}=+0.803961391\) \(a_{99}=-0.264554176\) \(a_{100}=+0.531105273\)

Showing 100 of 546 available coefficients

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