Properties

Level $929$
Weight $0$
Character 929.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 929 \)
Weight: \( 0 \)
Character: 929.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.2034160612 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.768101375\) \(a_{3}=-0.649852240\) \(a_{4}=-0.410020283\) \(a_{5}=+1.654460146\)
\(a_{6}=-0.499152463\) \(a_{7}=+0.428257088\) \(a_{8}=-1.083038515\) \(a_{9}=-0.577691954\) \(a_{10}=+1.270792999\)
\(a_{11}=-1.527675625\) \(a_{12}=+0.266452609\) \(a_{13}=+1.260770841\) \(a_{14}=+0.328944857\) \(a_{15}=-1.075154870\)
\(a_{16}=-0.421863222\) \(a_{17}=-0.131103208\) \(a_{18}=-0.443725968\) \(a_{19}=-1.048834173\) \(a_{20}=-0.678362262\)
\(a_{21}=-0.278303741\) \(a_{22}=-1.173409614\) \(a_{23}=-0.506381377\) \(a_{24}=+0.703815034\) \(a_{25}=+1.737238239\)
\(a_{26}=+0.968399829\) \(a_{27}=+1.025266730\) \(a_{28}=-0.175593967\) \(a_{29}=+0.090317731\) \(a_{30}=-0.825827948\)
\(a_{31}=-0.926567262\) \(a_{32}=+0.759004897\) \(a_{33}=+0.992763621\) \(a_{34}=-0.100700422\) \(a_{35}=+0.708534310\)
\(a_{36}=+0.236865569\) \(a_{37}=-1.055097189\) \(a_{38}=-0.805610801\) \(a_{39}=-0.819315032\) \(a_{40}=-1.791843880\)
\(a_{41}=+1.440676190\) \(a_{42}=-0.213765522\) \(a_{43}=-0.498048628\) \(a_{44}=+0.626378117\) \(a_{45}=-0.955768152\)
\(a_{46}=-0.388952388\) \(a_{47}=-0.850499182\) \(a_{48}=+0.274148662\) \(a_{49}=-0.816595844\) \(a_{50}=+1.334374979\)
\(a_{51}=+0.085197810\) \(a_{52}=-0.516941776\) \(a_{53}=-0.882437417\) \(a_{54}=+0.787508757\) \(a_{55}=-2.527478071\)
\(a_{56}=-0.463818968\) \(a_{57}=+0.681587313\) \(a_{58}=+0.069373239\) \(a_{59}=+0.298328367\) \(a_{60}=+0.440835299\)
\(a_{61}=+0.136067533\) \(a_{62}=-0.711697751\) \(a_{63}=-0.247400894\) \(a_{64}=+1.004855982\) \(a_{65}=+2.085894878\)
\(a_{66}=+0.762543059\) \(a_{67}=-0.219648015\) \(a_{68}=+0.053754955\) \(a_{69}=+0.329073141\) \(a_{70}=+0.544226171\)
\(a_{71}=-0.210186797\) \(a_{72}=+0.625662613\) \(a_{73}=-0.567492286\) \(a_{74}=-0.810421603\) \(a_{75}=-1.128948384\)
\(a_{76}=+0.430043289\) \(a_{77}=-0.654238112\) \(a_{78}=-0.629316866\) \(a_{79}=+1.595550797\) \(a_{80}=-0.697955462\)
\(a_{81}=-0.088580237\) \(a_{82}=+1.106585455\) \(a_{83}=-0.721000601\) \(a_{84}=+0.114110280\) \(a_{85}=-0.216905259\)
\(a_{86}=-0.382551750\) \(a_{87}=-0.058693246\) \(a_{88}=+1.654531535\) \(a_{89}=+1.000910150\) \(a_{90}=-0.734126853\)
\(a_{91}=+0.539934217\) \(a_{92}=+0.207626685\) \(a_{93}=+0.602131973\) \(a_{94}=-0.653269482\) \(a_{95}=-1.735253749\)
\(a_{96}=-0.493241114\) \(a_{97}=-0.413392783\) \(a_{98}=-0.627228300\) \(a_{99}=+0.882525666\) \(a_{100}=-0.712302938\)

Showing 100 of 2446 available coefficients

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