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: \( 4.69933935 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.446445008\) \(a_{3}=+0.080035887\) \(a_{4}=+1.092203217\) \(a_{5}=+1.624559156\)
\(a_{6}=+0.115767519\) \(a_{7}=+0.556468725\) \(a_{8}=+0.133366906\) \(a_{9}=-0.993594265\) \(a_{10}=+2.349835542\)
\(a_{11}=+1.182086519\) \(a_{12}=+0.087415441\) \(a_{13}=-0.838196995\) \(a_{14}=+0.804901357\) \(a_{15}=+0.130023065\)
\(a_{16}=-0.899295335\) \(a_{17}=-0.242535637\) \(a_{18}=-1.437179478\) \(a_{19}=-0.466313412\) \(a_{20}=+1.774348761\)
\(a_{21}=+0.044537436\) \(a_{22}=+1.709823130\) \(a_{23}=-0.677355476\) \(a_{24}=+0.010674140\) \(a_{25}=+1.639192400\)
\(a_{26}=-1.212405833\) \(a_{27}=-0.159559020\) \(a_{28}=+0.607776847\) \(a_{29}=-1.207667125\) \(a_{30}=+0.188071191\)
\(a_{31}=+0.083138189\) \(a_{32}=-1.434148078\) \(a_{33}=+0.094609293\) \(a_{34}=-0.350814466\) \(a_{35}=+0.904016311\)
\(a_{36}=-1.085206870\) \(a_{37}=+1.383087418\) \(a_{38}=-0.674496787\) \(a_{39}=-0.067085820\) \(a_{40}=+0.216662410\)
\(a_{41}=+1.005625519\) \(a_{42}=+0.064420946\) \(a_{43}=+1.218529786\) \(a_{44}=+1.291078734\) \(a_{45}=-1.614152624\)
\(a_{46}=-0.979757569\) \(a_{47}=-1.511316269\) \(a_{48}=-0.071975880\) \(a_{49}=-0.690342561\) \(a_{50}=+2.371001856\)
\(a_{51}=-0.019411567\) \(a_{52}=-0.915481462\) \(a_{53}=+0.970967071\) \(a_{54}=-0.230793450\) \(a_{55}=+1.920369438\)
\(a_{56}=+0.074214481\) \(a_{57}=-0.037321797\) \(a_{58}=-1.746824057\) \(a_{59}=-1.160507443\) \(a_{60}=+0.142011529\)
\(a_{61}=+0.997083049\) \(a_{62}=+0.120254781\) \(a_{63}=-0.552904068\) \(a_{64}=-1.175121095\) \(a_{65}=-1.361700599\)
\(a_{66}=+0.136847210\) \(a_{67}=+0.479243903\) \(a_{68}=-0.264898190\) \(a_{69}=-0.054212804\) \(a_{70}=+1.307609914\)
\(a_{71}=+1.259003212\) \(a_{72}=-0.132512553\) \(a_{73}=-1.005958562\) \(a_{74}=+2.000559840\) \(a_{75}=+0.131194277\)
\(a_{76}=-0.509309030\) \(a_{77}=+0.657794111\) \(a_{78}=-0.097035971\) \(a_{79}=-0.869552652\) \(a_{80}=-1.460958560\)
\(a_{81}=+0.980823799\) \(a_{82}=+1.454581930\) \(a_{83}=+0.115906531\) \(a_{84}=+0.048644019\) \(a_{85}=-0.394013529\)
\(a_{86}=+1.762536400\) \(a_{87}=-0.096656753\) \(a_{88}=+0.157651217\) \(a_{89}=+0.013098458\) \(a_{90}=-2.334783037\)
\(a_{91}=-0.466430386\) \(a_{92}=-0.739809948\) \(a_{93}=+0.006654091\) \(a_{94}=-2.186035876\) \(a_{95}=-0.757553759\)
\(a_{96}=-0.114783376\) \(a_{97}=+1.058776111\) \(a_{98}=-0.998542589\) \(a_{99}=-1.174514354\) \(a_{100}=+1.790331327\)

Showing 100 of 2000 available coefficients

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