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: \( 5.6632654884 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.082347331\) \(a_{3}=-1.086795524\) \(a_{4}=-0.993218917\) \(a_{5}=+1.497335021\)
\(a_{6}=+0.089494711\) \(a_{7}=+0.746411018\) \(a_{8}=+0.164136259\) \(a_{9}=+0.181124511\) \(a_{10}=-0.123301543\)
\(a_{11}=+0.301511345\) \(a_{12}=+1.079425874\) \(a_{13}=+0.692823409\) \(a_{14}=-0.061464955\) \(a_{15}=-1.627296999\)
\(a_{16}=+0.979702734\) \(a_{17}=-0.243728216\) \(a_{18}=-0.014915120\) \(a_{19}=+1.124726062\) \(a_{20}=-1.487181468\)
\(a_{21}=-0.811196153\) \(a_{22}=-0.024828655\) \(a_{23}=+1.529570762\) \(a_{24}=-0.178382551\) \(a_{25}=+1.242012166\)
\(a_{26}=-0.057052159\) \(a_{27}=+0.889950216\) \(a_{28}=-0.741349542\) \(a_{29}=-1.889476153\) \(a_{30}=+0.134003566\)
\(a_{31}=-0.080795734\) \(a_{32}=-0.244812164\) \(a_{33}=-0.327681180\) \(a_{34}=+0.020070365\) \(a_{35}=+1.117627361\)
\(a_{36}=-0.179896291\) \(a_{37}=+0.463262391\) \(a_{38}=-0.092618186\) \(a_{39}=-0.752957383\) \(a_{40}=+0.245766989\)
\(a_{41}=+0.869954297\) \(a_{42}=+0.066799838\) \(a_{43}=+0.081177127\) \(a_{44}=-0.299466771\) \(a_{45}=+0.271204074\)
\(a_{46}=-0.125956071\) \(a_{47}=+1.028991007\) \(a_{48}=-1.064736546\) \(a_{49}=-0.442870593\) \(a_{50}=-0.102276388\)
\(a_{51}=+0.264882734\) \(a_{52}=-0.688125315\) \(a_{53}=-0.848898234\) \(a_{54}=-0.073285026\) \(a_{55}=+0.451463494\)
\(a_{56}=+0.122513112\) \(a_{57}=-1.222347248\) \(a_{58}=+0.155593321\) \(a_{59}=+0.879090900\) \(a_{60}=+1.616262159\)
\(a_{61}=+0.761100016\) \(a_{62}=+0.006653321\) \(a_{63}=+0.135193334\) \(a_{64}=-0.959543122\) \(a_{65}=+1.037388746\)
\(a_{66}=+0.026983688\) \(a_{67}=-1.198794376\) \(a_{68}=+0.242075467\) \(a_{69}=-1.662330715\) \(a_{70}=-0.092033633\)
\(a_{71}=+1.228920361\) \(a_{72}=+0.029729146\) \(a_{73}=+1.490008228\) \(a_{74}=-0.038148422\) \(a_{75}=-1.349813263\)
\(a_{76}=-1.117099201\) \(a_{77}=+0.225051390\) \(a_{78}=+0.062004031\) \(a_{79}=-1.264172794\) \(a_{80}=+1.466943214\)
\(a_{81}=-1.148318423\) \(a_{82}=-0.071638414\) \(a_{83}=-0.068232388\) \(a_{84}=+0.805695364\) \(a_{85}=-0.364942794\)
\(a_{86}=-0.006684721\) \(a_{87}=+2.053474226\) \(a_{88}=+0.049488947\) \(a_{89}=+0.002292627\) \(a_{90}=-0.022332933\)
\(a_{91}=+0.517131021\) \(a_{92}=-1.519198613\) \(a_{93}=+0.087808446\) \(a_{94}=-0.084734663\) \(a_{95}=+1.684091727\)
\(a_{96}=+0.266060757\) \(a_{97}=-0.174108475\) \(a_{98}=+0.036469206\) \(a_{99}=+0.054611112\) \(a_{100}=-1.233589957\)

Showing 100 of 1000 available coefficients

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