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: \( 3.16938238009 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.381749546\) \(a_{3}=+0.833033116\) \(a_{4}=+0.909231808\) \(a_{5}=-1.364994551\)
\(a_{6}=-1.151043130\) \(a_{7}=-0.240804294\) \(a_{8}=+0.125418907\) \(a_{9}=-0.306055828\) \(a_{10}=+1.886080602\)
\(a_{11}=-1.432800326\) \(a_{12}=+0.757420207\) \(a_{13}=+0.579249636\) \(a_{14}=+0.332731225\) \(a_{15}=-1.137085665\)
\(a_{16}=-1.082529327\) \(a_{17}=+0.242535625\) \(a_{18}=+0.422892501\) \(a_{19}=+0.883636108\) \(a_{20}=-1.241096465\)
\(a_{21}=-0.200597952\) \(a_{22}=+1.979771201\) \(a_{23}=-1.764178922\) \(a_{24}=+0.104478103\) \(a_{25}=+0.863210126\)
\(a_{26}=-0.800377922\) \(a_{27}=-1.087987756\) \(a_{28}=-0.218946924\) \(a_{29}=+0.091885091\) \(a_{30}=+1.571167601\)
\(a_{31}=+1.231984202\) \(a_{32}=+1.370365499\) \(a_{33}=-1.193570121\) \(a_{34}=-0.335123490\) \(a_{35}=+0.328696550\)
\(a_{36}=-0.278275694\) \(a_{37}=-0.141778536\) \(a_{38}=-1.220963791\) \(a_{39}=+0.482534129\) \(a_{40}=-0.171196125\)
\(a_{41}=-0.468065908\) \(a_{42}=+0.277176129\) \(a_{43}=-1.357174780\) \(a_{44}=-1.302747632\) \(a_{45}=+0.417764537\)
\(a_{46}=+2.437653424\) \(a_{47}=+0.767782904\) \(a_{48}=-0.901782778\) \(a_{49}=-0.942013292\) \(a_{50}=-1.192740199\)
\(a_{51}=+0.202040207\) \(a_{52}=+0.526672194\) \(a_{53}=-0.124586808\) \(a_{54}=+1.503326588\) \(a_{55}=+1.955764639\)
\(a_{56}=-0.030201412\) \(a_{57}=+0.736098140\) \(a_{58}=-0.126962183\) \(a_{59}=+1.534904536\) \(a_{60}=-1.033874455\)
\(a_{61}=-0.584739038\) \(a_{62}=-1.702293612\) \(a_{63}=+0.073699558\) \(a_{64}=-0.810972579\) \(a_{65}=-0.790672597\)
\(a_{66}=+1.649214973\) \(a_{67}=-1.240532663\) \(a_{68}=+0.220521105\) \(a_{69}=-1.469619464\) \(a_{70}=-0.454176309\)
\(a_{71}=-0.154769877\) \(a_{72}=-0.038385188\) \(a_{73}=+0.191561570\) \(a_{74}=+0.195902428\) \(a_{75}=+0.719082621\)
\(a_{76}=+0.803430056\) \(a_{77}=+0.345024472\) \(a_{78}=-0.666741314\) \(a_{79}=-0.064845947\) \(a_{80}=+1.477646633\)
\(a_{81}=-0.600274003\) \(a_{82}=+0.646749856\) \(a_{83}=-0.027949309\) \(a_{84}=-0.182390038\) \(a_{85}=-0.331059807\)
\(a_{86}=+1.875275636\) \(a_{87}=+0.076543324\) \(a_{88}=-0.179700252\) \(a_{89}=-0.549272317\) \(a_{90}=-0.577245960\)
\(a_{91}=-0.139485800\) \(a_{92}=-1.604047591\) \(a_{93}=+1.026283639\) \(a_{94}=-1.060883680\) \(a_{95}=-1.206158473\)
\(a_{96}=+1.141559842\) \(a_{97}=-0.662544763\) \(a_{98}=+1.301626438\) \(a_{99}=+0.438516890\) \(a_{100}=+0.784858104\)

Showing 100 of 546 available coefficients

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