Properties

Level $211$
Weight $0$
Character 211.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 211 \)
Weight: \( 0 \)
Character: 211.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.62764653419 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.984249976\) \(a_{3}=+1.005665254\) \(a_{4}=+2.937247963\) \(a_{5}=-0.776918242\)
\(a_{6}=-1.995491245\) \(a_{7}=+0.483295165\) \(a_{8}=-3.843984231\) \(a_{9}=+0.011362610\) \(a_{10}=+1.541600012\)
\(a_{11}=+0.694353835\) \(a_{12}=+2.953888192\) \(a_{13}=-0.178444584\) \(a_{14}=-0.958978452\) \(a_{15}=-0.781319681\)
\(a_{16}=+4.690177691\) \(a_{17}=+0.408204677\) \(a_{18}=-0.022546225\) \(a_{19}=-0.359527642\) \(a_{20}=-2.282001544\)
\(a_{21}=+0.486033143\) \(a_{22}=-1.377771580\) \(a_{23}=-1.430858789\) \(a_{24}=-3.865761358\) \(a_{25}=-0.396398035\)
\(a_{26}=+0.354078623\) \(a_{27}=-0.994238273\) \(a_{28}=+1.419557813\) \(a_{29}=+1.105266076\) \(a_{30}=+1.550333557\)
\(a_{31}=-0.930343029\) \(a_{32}=-5.462500751\) \(a_{33}=+0.698287511\) \(a_{34}=-0.809980098\) \(a_{35}=-0.375480847\)
\(a_{36}=+0.033374746\) \(a_{37}=-0.298282690\) \(a_{38}=+0.713392734\) \(a_{39}=-0.179455506\) \(a_{40}=+2.986461505\)
\(a_{41}=+0.480895108\) \(a_{42}=-0.964411289\) \(a_{43}=+1.022793384\) \(a_{44}=+2.039489406\) \(a_{45}=-0.008827808\)
\(a_{46}=+2.839181551\) \(a_{47}=-0.030011215\) \(a_{48}=+4.716748719\) \(a_{49}=-0.766425734\) \(a_{50}=+0.786552782\)
\(a_{51}=+0.410517272\) \(a_{52}=-0.524135935\) \(a_{53}=+0.943863396\) \(a_{54}=+1.972817280\) \(a_{55}=-0.539456172\)
\(a_{56}=-1.857779085\) \(a_{57}=-0.361564450\) \(a_{58}=-2.193124193\) \(a_{59}=-0.584634754\) \(a_{60}=-2.294929651\)
\(a_{61}=-0.595804314\) \(a_{62}=+1.846033124\) \(a_{63}=+0.005491454\) \(a_{64}=+6.148789266\) \(a_{65}=+0.138636855\)
\(a_{66}=-1.385577012\) \(a_{67}=+0.850562444\) \(a_{68}=+1.198998317\) \(a_{69}=-1.438964965\) \(a_{70}=+0.745047881\)
\(a_{71}=-0.807757511\) \(a_{72}=-0.043677632\) \(a_{73}=+0.247256791\) \(a_{74}=+0.591867427\) \(a_{75}=-0.398643742\)
\(a_{76}=-1.056021901\) \(a_{77}=+0.335577883\) \(a_{78}=+0.356084570\) \(a_{79}=+0.877028809\) \(a_{80}=-3.643884665\)
\(a_{81}=-1.011233496\) \(a_{82}=-0.954216128\) \(a_{83}=+1.843460258\) \(a_{84}=+1.427599979\) \(a_{85}=-0.317141654\)
\(a_{86}=-2.029477731\) \(a_{87}=+1.111527667\) \(a_{88}=-2.669085213\) \(a_{89}=+1.569211570\) \(a_{90}=+0.017516582\)
\(a_{91}=-0.086241405\) \(a_{92}=-4.202787124\) \(a_{93}=-0.935613642\) \(a_{94}=+0.059549750\) \(a_{95}=+0.279323655\)
\(a_{96}=-5.493447200\) \(a_{97}=+1.057825970\) \(a_{98}=+1.520780282\) \(a_{99}=+0.007889668\) \(a_{100}=-1.164319290\)

Showing 100 of 690 available coefficients

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