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: \( 8.04940484094 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.084448928\) \(a_{3}=-0.856243363\) \(a_{4}=-0.992868379\) \(a_{5}=-0.110228423\)
\(a_{6}=+0.072308834\) \(a_{7}=-1.908105667\) \(a_{8}=+0.168295598\) \(a_{9}=-0.266847303\) \(a_{10}=+0.009308672\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.850136960\) \(a_{13}=+0.136581751\) \(a_{14}=+0.161137478\) \(a_{15}=+0.094382356\)
\(a_{16}=+0.978655996\) \(a_{17}=+0.382753687\) \(a_{18}=+0.022534969\) \(a_{19}=+0.901736609\) \(a_{20}=+0.109442316\)
\(a_{21}=+1.633802814\) \(a_{22}=-0.025462310\) \(a_{23}=-1.446637327\) \(a_{24}=-0.144101989\) \(a_{25}=-0.987849695\)
\(a_{26}=-0.011534182\) \(a_{27}=+1.084729595\) \(a_{28}=+1.894497780\) \(a_{29}=-1.222945568\) \(a_{30}=-0.007970489\)
\(a_{31}=+0.761731915\) \(a_{32}=-0.250942048\) \(a_{33}=-0.258167088\) \(a_{34}=-0.032323139\) \(a_{35}=+0.210327479\)
\(a_{36}=+0.264944249\) \(a_{37}=-0.544788972\) \(a_{38}=-0.076150690\) \(a_{39}=-0.116947218\) \(a_{40}=-0.018550958\)
\(a_{41}=+0.025788259\) \(a_{42}=-0.137972896\) \(a_{43}=-0.634694185\) \(a_{44}=-0.299361080\) \(a_{45}=+0.029414157\)
\(a_{46}=+0.122166972\) \(a_{47}=+1.169163436\) \(a_{48}=-0.837967701\) \(a_{49}=+2.640867238\) \(a_{50}=+0.083422848\)
\(a_{51}=-0.327730304\) \(a_{52}=-0.135607702\) \(a_{53}=-1.248705194\) \(a_{54}=-0.091604252\) \(a_{55}=-0.033235120\)
\(a_{56}=-0.321125785\) \(a_{57}=-0.772105987\) \(a_{58}=+0.103276442\) \(a_{59}=+0.873615875\) \(a_{60}=-0.093709257\)
\(a_{61}=-0.533035560\) \(a_{62}=-0.064327444\) \(a_{63}=+0.509172851\) \(a_{64}=-0.957464209\) \(a_{65}=-0.015055191\)
\(a_{66}=+0.021801934\) \(a_{67}=+0.876264398\) \(a_{68}=-0.380024032\) \(a_{69}=+1.238673611\) \(a_{70}=-0.017761930\)
\(a_{71}=+0.016637536\) \(a_{72}=-0.044909226\) \(a_{73}=-0.001642349\) \(a_{74}=+0.046006845\) \(a_{75}=+0.845839745\)
\(a_{76}=-0.895305765\) \(a_{77}=-0.575315505\) \(a_{78}=+0.009876067\) \(a_{79}=+1.585078936\) \(a_{80}=-0.107875707\)
\(a_{81}=-0.661945214\) \(a_{82}=-0.002177791\) \(a_{83}=-0.887663925\) \(a_{84}=-1.622151151\) \(a_{85}=-0.042190335\)
\(a_{86}=+0.053599244\) \(a_{87}=+1.047139027\) \(a_{88}=+0.050743032\) \(a_{89}=-0.549042650\) \(a_{90}=-0.002483994\)
\(a_{91}=-0.260612413\) \(a_{92}=+1.436320458\) \(a_{93}=-0.652227897\) \(a_{94}=-0.098734599\) \(a_{95}=-0.099397005\)
\(a_{96}=+0.214867463\) \(a_{97}=+1.008589056\) \(a_{98}=-0.223018407\) \(a_{99}=-0.080457489\) \(a_{100}=+0.980804725\)

Showing 100 of 546 available coefficients

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