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: \( 8.16066289196 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.987284240\) \(a_{3}=+1.258082300\) \(a_{4}=-0.025269830\) \(a_{5}=+1.679056956\)
\(a_{6}=+1.242084827\) \(a_{7}=+0.344828993\) \(a_{8}=-1.012232745\) \(a_{9}=+0.582771073\) \(a_{10}=+1.657706470\)
\(a_{11}=+0.301511345\) \(a_{12}=-0.031791526\) \(a_{13}=-0.362681161\) \(a_{14}=+0.340444230\) \(a_{15}=+2.112391836\)
\(a_{16}=-0.974091605\) \(a_{17}=+1.666132974\) \(a_{18}=+0.575360696\) \(a_{19}=-0.216062667\) \(a_{20}=-0.042429484\)
\(a_{21}=+0.433823253\) \(a_{22}=+0.297677399\) \(a_{23}=+0.451683114\) \(a_{24}=-1.273472099\) \(a_{25}=+1.819232260\)
\(a_{26}=-0.358069394\) \(a_{27}=-0.524908328\) \(a_{28}=-0.008713770\) \(a_{29}=-1.388480841\) \(a_{30}=+2.085531168\)
\(a_{31}=-0.939894328\) \(a_{32}=+0.050527455\) \(a_{33}=+0.379326086\) \(a_{34}=+1.644946826\) \(a_{35}=+0.578987520\)
\(a_{36}=-0.014726526\) \(a_{37}=-1.363882686\) \(a_{38}=-0.213315266\) \(a_{39}=-0.456282749\) \(a_{40}=-1.699596431\)
\(a_{41}=-0.522516867\) \(a_{42}=+0.428306861\) \(a_{43}=+1.576946535\) \(a_{44}=-0.007619140\) \(a_{45}=+0.978505826\)
\(a_{46}=+0.445939616\) \(a_{47}=-0.791634510\) \(a_{48}=-1.225487403\) \(a_{49}=-0.881092976\) \(a_{50}=+1.796099340\)
\(a_{51}=+2.096132403\) \(a_{52}=+0.009164891\) \(a_{53}=-0.871419327\) \(a_{54}=-0.518233719\) \(a_{55}=+0.506254720\)
\(a_{56}=-0.349047198\) \(a_{57}=-0.271824617\) \(a_{58}=-1.370825251\) \(a_{59}=-0.965891587\) \(a_{60}=-0.053379783\)
\(a_{61}=+1.291951142\) \(a_{62}=-0.927942857\) \(a_{63}=+0.200956363\) \(a_{64}=+1.023976565\) \(a_{65}=-0.608962326\)
\(a_{66}=+0.374502666\) \(a_{67}=+0.084564127\) \(a_{68}=-0.042102897\) \(a_{69}=+0.568254531\) \(a_{70}=+0.571625253\)
\(a_{71}=+0.407406736\) \(a_{72}=-0.589899963\) \(a_{73}=+0.428721536\) \(a_{74}=-1.346539881\) \(a_{75}=+2.288743906\)
\(a_{76}=+0.005459867\) \(a_{77}=+0.103969855\) \(a_{78}=-0.450480769\) \(a_{79}=-0.692409294\) \(a_{80}=-1.635555285\)
\(a_{81}=-1.243148948\) \(a_{82}=-0.515872663\) \(a_{83}=-0.012084668\) \(a_{84}=-0.010962645\) \(a_{85}=+2.797532165\)
\(a_{86}=+1.556894471\) \(a_{87}=-1.746823165\) \(a_{88}=-0.305199687\) \(a_{89}=+0.214607184\) \(a_{90}=+0.966063413\)
\(a_{91}=-0.125062960\) \(a_{92}=-0.011413963\) \(a_{93}=-1.182464418\) \(a_{94}=-0.781568277\) \(a_{95}=-0.362781523\)
\(a_{96}=+0.063567697\) \(a_{97}=+1.204876537\) \(a_{98}=-0.869889198\) \(a_{99}=+0.175712090\) \(a_{100}=-0.045971690\)

Showing 100 of 1000 available coefficients

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