Properties

Level $11$
Weight $0$
Character 11.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 6.61367529613 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.482040666\) \(a_{3}=+1.785980813\) \(a_{4}=+1.196444536\) \(a_{5}=+0.445653452\)
\(a_{6}=+2.646896195\) \(a_{7}=-1.510115349\) \(a_{8}=+0.291138791\) \(a_{9}=+2.189727466\) \(a_{10}=+0.660476539\)
\(a_{11}=-0.301511345\) \(a_{12}=+2.136826986\) \(a_{13}=+0.174613449\) \(a_{14}=-2.238052359\) \(a_{15}=+0.795928515\)
\(a_{16}=-0.764965008\) \(a_{17}=+0.077615536\) \(a_{18}=+3.245265152\) \(a_{19}=-0.016601348\) \(a_{20}=+0.533199638\)
\(a_{21}=-2.697037040\) \(a_{22}=-0.446852074\) \(a_{23}=+0.895821097\) \(a_{24}=+0.519968296\) \(a_{25}=-0.801393000\)
\(a_{26}=+0.258784233\) \(a_{27}=+2.124830427\) \(a_{28}=-1.806769259\) \(a_{29}=-0.622108487\) \(a_{30}=+1.179598427\)
\(a_{31}=-0.044110841\) \(a_{32}=-1.424848041\) \(a_{33}=-0.538493476\) \(a_{34}=+0.115029381\) \(a_{35}=-0.672988119\)
\(a_{36}=+2.619887462\) \(a_{37}=+1.586316395\) \(a_{38}=-0.024603873\) \(a_{39}=+0.311856270\) \(a_{40}=+0.129747008\)
\(a_{41}=-0.651616039\) \(a_{42}=-3.997118571\) \(a_{43}=+0.117106790\) \(a_{44}=-0.360741601\) \(a_{45}=+0.975859605\)
\(a_{46}=+1.327643295\) \(a_{47}=+0.363480066\) \(a_{48}=-1.366212827\) \(a_{49}=+1.280448369\) \(a_{50}=-1.187697016\)
\(a_{51}=+0.138619858\) \(a_{52}=+0.208915308\) \(a_{53}=-0.958520091\) \(a_{54}=+3.149085102\) \(a_{55}=-0.134369572\)
\(a_{56}=-0.439653158\) \(a_{57}=-0.029649689\) \(a_{58}=-0.921990076\) \(a_{59}=+1.302355391\) \(a_{60}=+0.952284323\)
\(a_{61}=+0.318953772\) \(a_{62}=-0.065374060\) \(a_{63}=-3.306741057\) \(a_{64}=-1.346717733\) \(a_{65}=+0.077817087\)
\(a_{66}=-0.798069230\) \(a_{67}=+1.524225326\) \(a_{68}=+0.092862683\) \(a_{69}=+1.599919292\) \(a_{70}=-0.997395759\)
\(a_{71}=-1.929696474\) \(a_{72}=+0.637514605\) \(a_{73}=+1.081408784\) \(a_{74}=+2.350985412\) \(a_{75}=-1.431272519\)
\(a_{76}=-0.019862591\) \(a_{77}=+0.455316895\) \(a_{78}=+0.462183671\) \(a_{79}=+0.569469014\) \(a_{80}=-0.340909303\)
\(a_{81}=+1.605178925\) \(a_{82}=-0.965721481\) \(a_{83}=+0.481193074\) \(a_{84}=-3.226855257\) \(a_{85}=+0.034589433\)
\(a_{86}=+0.173557032\) \(a_{87}=-1.111073821\) \(a_{88}=-0.087781649\) \(a_{89}=+0.389607346\) \(a_{90}=+1.446263619\)
\(a_{91}=-0.263686450\) \(a_{92}=+1.071800256\) \(a_{93}=-0.078781115\) \(a_{94}=+0.538692239\) \(a_{95}=-0.007398448\)
\(a_{96}=-2.544751263\) \(a_{97}=+0.413761417\) \(a_{98}=+1.897676553\) \(a_{99}=-0.660227673\) \(a_{100}=-0.958822277\)

Showing 100 of 1000 available coefficients

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