Properties

Level $17$
Weight $0$
Character 17.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 17 \)
Weight: \( 0 \)
Character: 17.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 6.48824347143 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.680268915\) \(a_{3}=-0.040505185\) \(a_{4}=+1.823303628\) \(a_{5}=-1.307240756\)
\(a_{6}=+0.068059604\) \(a_{7}=-1.344564580\) \(a_{8}=-1.383371494\) \(a_{9}=-0.998359330\) \(a_{10}=+2.196516007\)
\(a_{11}=-0.601456639\) \(a_{12}=-0.073853251\) \(a_{13}=-1.563114819\) \(a_{14}=+2.259230069\) \(a_{15}=+0.052950029\)
\(a_{16}=+0.501132491\) \(a_{17}=+0.242535625\) \(a_{18}=+1.677512148\) \(a_{19}=-0.471104294\) \(a_{20}=-2.383496813\)
\(a_{21}=+0.054461837\) \(a_{22}=+1.010608894\) \(a_{23}=+1.114550863\) \(a_{24}=+0.056033719\) \(a_{25}=+0.708878394\)
\(a_{26}=+2.626453242\) \(a_{27}=+0.080943915\) \(a_{28}=-2.451549477\) \(a_{29}=-0.697304516\) \(a_{30}=-0.088970288\)
\(a_{31}=-1.148194194\) \(a_{32}=+0.541334146\) \(a_{33}=+0.024362113\) \(a_{34}=-0.407525072\) \(a_{35}=+1.757669618\)
\(a_{36}=-1.820312188\) \(a_{37}=-0.223875824\) \(a_{38}=+0.791581902\) \(a_{39}=+0.063314255\) \(a_{40}=+1.808399597\)
\(a_{41}=+0.611713590\) \(a_{42}=-0.091510533\) \(a_{43}=+0.140244239\) \(a_{44}=-1.096638072\) \(a_{45}=+1.305096005\)
\(a_{46}=-1.872745169\) \(a_{47}=+1.505855416\) \(a_{48}=-0.020298464\) \(a_{49}=+0.807853910\) \(a_{50}=-1.191106330\)
\(a_{51}=-0.009823950\) \(a_{52}=-2.850032921\) \(a_{53}=-1.630357260\) \(a_{54}=-0.136007544\) \(a_{55}=+0.786248631\)
\(a_{56}=+1.860032311\) \(a_{57}=+0.019082167\) \(a_{58}=+1.171659102\) \(a_{59}=-1.284526975\) \(a_{60}=+0.096543980\)
\(a_{61}=-0.699386753\) \(a_{62}=+1.929275013\) \(a_{63}=+1.342358593\) \(a_{64}=-1.410719430\) \(a_{65}=+2.043367398\)
\(a_{66}=-0.040934901\) \(a_{67}=+0.090169201\) \(a_{68}=+0.442216085\) \(a_{69}=-0.045145089\) \(a_{70}=-2.953357623\)
\(a_{71}=-1.352833213\) \(a_{72}=+1.381101837\) \(a_{73}=-0.461124717\) \(a_{74}=+0.376171588\) \(a_{75}=-0.028713251\)
\(a_{76}=-0.858966169\) \(a_{77}=+0.808697293\) \(a_{78}=-0.106384975\) \(a_{79}=+0.965648945\) \(a_{80}=-0.655100817\)
\(a_{81}=+0.995080682\) \(a_{82}=-1.027843331\) \(a_{83}=+0.394277004\) \(a_{84}=+0.099300466\) \(a_{85}=-0.317052454\)
\(a_{86}=-0.235648036\) \(a_{87}=+0.028244449\) \(a_{88}=+0.832037969\) \(a_{89}=-0.918478297\) \(a_{90}=-2.192912249\)
\(a_{91}=+2.101708821\) \(a_{92}=+2.032164631\) \(a_{93}=+0.046507819\) \(a_{94}=-2.530242046\) \(a_{95}=+0.615846734\)
\(a_{96}=-0.021926840\) \(a_{97}=-1.615347107\) \(a_{98}=-1.357411814\) \(a_{99}=+0.600469847\) \(a_{100}=+1.292500547\)

Showing 100 of 546 available coefficients

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