Properties

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

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 4.52889442465 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.663859724\) \(a_{3}=-0.807699280\) \(a_{4}=-0.559290267\) \(a_{5}=-1.231537319\)
\(a_{6}=-0.536199021\) \(a_{7}=+1.769875581\) \(a_{8}=-1.035150006\) \(a_{9}=-0.347621873\) \(a_{10}=-0.817568025\)
\(a_{11}=-0.301511345\) \(a_{12}=+0.451738346\) \(a_{13}=-0.729177574\) \(a_{14}=+1.174949114\) \(a_{15}=+0.994711807\)
\(a_{16}=-0.127904130\) \(a_{17}=-0.897093948\) \(a_{18}=-0.230772160\) \(a_{19}=+0.273083843\) \(a_{20}=+0.688786837\)
\(a_{21}=-1.429527233\) \(a_{22}=-0.200161238\) \(a_{23}=-0.594911431\) \(a_{24}=+0.836089915\) \(a_{25}=+0.516684169\)
\(a_{26}=-0.484071623\) \(a_{27}=+1.088473217\) \(a_{28}=-0.989874187\) \(a_{29}=+0.182907916\) \(a_{30}=+0.660349106\)
\(a_{31}=+0.072921334\) \(a_{32}=+0.950239607\) \(a_{33}=+0.243530500\) \(a_{34}=-0.595544549\) \(a_{35}=-2.179667824\)
\(a_{36}=+0.194421536\) \(a_{37}=-0.242355248\) \(a_{38}=+0.181289365\) \(a_{39}=+0.588956202\) \(a_{40}=+1.274825864\)
\(a_{41}=-0.209446604\) \(a_{42}=-0.949005554\) \(a_{43}=-1.100653238\) \(a_{44}=+0.168632360\) \(a_{45}=+0.428109309\)
\(a_{46}=-0.394937738\) \(a_{47}=-0.160005631\) \(a_{48}=+0.103308073\) \(a_{49}=+2.132459572\) \(a_{50}=+0.343005810\)
\(a_{51}=+0.724582136\) \(a_{52}=+0.407821920\) \(a_{53}=-1.618435261\) \(a_{54}=+0.722593529\) \(a_{55}=+0.371322473\)
\(a_{56}=-1.832086718\) \(a_{57}=-0.220569623\) \(a_{58}=+0.121425198\) \(a_{59}=-0.535880521\) \(a_{60}=-0.556332632\)
\(a_{61}=-0.556617482\) \(a_{62}=+0.048409541\) \(a_{63}=-0.615247468\) \(a_{64}=+0.758729937\) \(a_{65}=+0.898009410\)
\(a_{66}=+0.161670092\) \(a_{67}=-0.240124689\) \(a_{68}=+0.501735925\) \(a_{69}=+0.480509488\) \(a_{70}=-1.446993676\)
\(a_{71}=+1.073836621\) \(a_{72}=+0.359840754\) \(a_{73}=+1.798082984\) \(a_{74}=-0.160889472\) \(a_{75}=-0.417324532\)
\(a_{76}=-0.152734014\) \(a_{77}=-0.533637832\) \(a_{78}=+0.390984301\) \(a_{79}=-1.005325087\) \(a_{80}=+0.157518709\)
\(a_{81}=-0.531537161\) \(a_{82}=-0.139043165\) \(a_{83}=-1.033176288\) \(a_{84}=+0.799520668\) \(a_{85}=+1.104804676\)
\(a_{86}=-0.730679354\) \(a_{87}=-0.147734593\) \(a_{88}=+0.312109470\) \(a_{89}=-0.192885337\) \(a_{90}=+0.284204529\)
\(a_{91}=-1.290553583\) \(a_{92}=+0.332728176\) \(a_{93}=-0.058898512\) \(a_{94}=-0.106221292\) \(a_{95}=-0.336312944\)
\(a_{96}=-0.767507848\) \(a_{97}=+0.769144181\) \(a_{98}=+1.415654017\) \(a_{99}=+0.104811940\) \(a_{100}=-0.288976445\)

Showing 100 of 1000 available coefficients

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