Properties

Level $281$
Weight $0$
Character 281.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 281 \)
Weight: \( 0 \)
Character: 281.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 0.84282752355 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.080828270\) \(a_{3}=-0.767115479\) \(a_{4}=+0.168189737\) \(a_{5}=-0.696571000\)
\(a_{6}=-0.829120084\) \(a_{7}=+0.597208358\) \(a_{8}=-0.899044017\) \(a_{9}=-0.411533840\) \(a_{10}=-0.752873625\)
\(a_{11}=-1.074991183\) \(a_{12}=-0.129020971\) \(a_{13}=-0.549111478\) \(a_{14}=+0.645479678\) \(a_{15}=+0.534350399\)
\(a_{16}=-1.139901967\) \(a_{17}=-0.238134723\) \(a_{18}=-0.444797410\) \(a_{19}=+1.398660347\) \(a_{20}=-0.117156106\)
\(a_{21}=-0.458127786\) \(a_{22}=-1.161880872\) \(a_{23}=-0.541262759\) \(a_{24}=+0.689670605\) \(a_{25}=-0.514788835\)
\(a_{26}=-0.593495224\) \(a_{27}=+1.082809452\) \(a_{28}=+0.100444336\) \(a_{29}=-0.744881899\) \(a_{30}=+0.577541009\)
\(a_{31}=+0.224935361\) \(a_{32}=-0.332994201\) \(a_{33}=+0.824642382\) \(a_{34}=-0.257382712\) \(a_{35}=-0.415998036\)
\(a_{36}=-0.069215768\) \(a_{37}=-0.260092141\) \(a_{38}=+1.511711618\) \(a_{39}=+0.421231923\) \(a_{40}=+0.626247995\)
\(a_{41}=+1.070186900\) \(a_{42}=-0.495157459\) \(a_{43}=+0.995687207\) \(a_{44}=-0.180802490\) \(a_{45}=+0.286662536\)
\(a_{46}=-0.585012088\) \(a_{47}=-0.645201570\) \(a_{48}=+0.874436422\) \(a_{49}=-0.643342148\) \(a_{50}=-0.556398338\)
\(a_{51}=+0.182676811\) \(a_{52}=-0.092354899\) \(a_{53}=+0.586667756\) \(a_{54}=+1.170331068\) \(a_{55}=+0.748807680\)
\(a_{56}=-0.536916606\) \(a_{57}=-1.072933981\) \(a_{58}=-0.805089427\) \(a_{59}=-0.425612811\) \(a_{60}=+0.089872261\)
\(a_{61}=+0.338424213\) \(a_{62}=+0.243116508\) \(a_{63}=-0.245771441\) \(a_{64}=+0.779992349\) \(a_{65}=+0.382495130\)
\(a_{66}=+0.891296788\) \(a_{67}=+0.397243737\) \(a_{68}=-0.040051838\) \(a_{69}=+0.415211057\) \(a_{70}=-0.449622428\)
\(a_{71}=-1.835869158\) \(a_{72}=+0.369987032\) \(a_{73}=-1.521336687\) \(a_{74}=-0.281114925\) \(a_{75}=+0.394902490\)
\(a_{76}=+0.235240341\) \(a_{77}=-0.641993742\) \(a_{78}=+0.455279369\) \(a_{79}=+1.144538723\) \(a_{80}=+0.794022670\)
\(a_{81}=-0.419106075\) \(a_{82}=+1.156688262\) \(a_{83}=-1.345558510\) \(a_{84}=-0.077052386\) \(a_{85}=+0.165877719\)
\(a_{86}=+1.076166887\) \(a_{87}=+0.571410436\) \(a_{88}=+0.966464383\) \(a_{89}=-0.330284531\) \(a_{90}=+0.309832971\)
\(a_{91}=-0.327933963\) \(a_{92}=-0.091034867\) \(a_{93}=-0.172551405\) \(a_{94}=-0.697352100\) \(a_{95}=-0.974266217\)
\(a_{96}=+0.255445039\) \(a_{97}=-0.955191553\) \(a_{98}=-0.695342412\) \(a_{99}=+0.442395252\) \(a_{100}=-0.086582193\)

Showing 100 of 940 available coefficients

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