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: \( 5.38428160735 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.048371656\) \(a_{3}=+0.992695470\) \(a_{4}=-0.997660183\) \(a_{5}=-0.646587827\)
\(a_{6}=-0.048018324\) \(a_{7}=-1.215677787\) \(a_{8}=+0.096630132\) \(a_{9}=-0.014555703\) \(a_{10}=+0.031276524\)
\(a_{11}=-0.301511345\) \(a_{12}=-0.990372745\) \(a_{13}=-0.206122466\) \(a_{14}=+0.058804348\) \(a_{15}=-0.641864807\)
\(a_{16}=+0.992986023\) \(a_{17}=+1.397206318\) \(a_{18}=+0.000704083\) \(a_{19}=-1.286063926\) \(a_{20}=+0.645074930\)
\(a_{21}=-1.206797833\) \(a_{22}=+0.014584603\) \(a_{23}=+0.537429577\) \(a_{24}=+0.095924294\) \(a_{25}=-0.581924182\)
\(a_{26}=+0.009970485\) \(a_{27}=-1.007144851\) \(a_{28}=+1.212833323\) \(a_{29}=-0.221723157\) \(a_{30}=+0.031048064\)
\(a_{31}=+1.367564436\) \(a_{32}=-0.144662510\) \(a_{33}=-0.299308946\) \(a_{34}=-0.067585184\) \(a_{35}=+0.786042458\)
\(a_{36}=+0.014521645\) \(a_{37}=-1.262120964\) \(a_{38}=+0.062209042\) \(a_{39}=-0.204616839\) \(a_{40}=-0.062479867\)
\(a_{41}=-0.914531892\) \(a_{42}=+0.058374810\) \(a_{43}=+0.079235957\) \(a_{44}=+0.300805863\) \(a_{45}=+0.009411540\)
\(a_{46}=-0.025996359\) \(a_{47}=-0.427521957\) \(a_{48}=+0.985732728\) \(a_{49}=+0.477872482\) \(a_{50}=+0.028148637\)
\(a_{51}=+1.387000383\) \(a_{52}=+0.205640178\) \(a_{53}=-1.187878412\) \(a_{54}=+0.048717265\) \(a_{55}=+0.194953565\)
\(a_{56}=-0.117471105\) \(a_{57}=-1.276669834\) \(a_{58}=+0.010725116\) \(a_{59}=-1.127158374\) \(a_{60}=+0.640362961\)
\(a_{61}=+1.614349001\) \(a_{62}=-0.066151357\) \(a_{63}=+0.017695045\) \(a_{64}=-0.985988458\) \(a_{65}=+0.133276278\)
\(a_{66}=+0.014478069\) \(a_{67}=-0.879086692\) \(a_{68}=-1.393937111\) \(a_{69}=+0.533503907\) \(a_{70}=-0.038022176\)
\(a_{71}=+1.001443842\) \(a_{72}=-0.001406519\) \(a_{73}=+1.430862572\) \(a_{74}=+0.061050881\) \(a_{75}=-0.577673500\)
\(a_{76}=+1.283054772\) \(a_{77}=+0.366540644\) \(a_{78}=+0.009897655\) \(a_{79}=+1.002738321\) \(a_{80}=-0.642052675\)
\(a_{81}=-0.985232429\) \(a_{82}=+0.044237422\) \(a_{83}=-1.525015743\) \(a_{84}=+1.203974146\) \(a_{85}=-0.903416597\)
\(a_{86}=-0.003832774\) \(a_{87}=-0.220103574\) \(a_{88}=-0.029135081\) \(a_{89}=-1.103529512\) \(a_{90}=-0.000455252\)
\(a_{91}=+0.250578504\) \(a_{92}=-0.536172090\) \(a_{93}=+1.357575022\) \(a_{94}=+0.020679945\) \(a_{95}=+0.831553279\)
\(a_{96}=-0.143605819\) \(a_{97}=-1.085887341\) \(a_{98}=-0.023115483\) \(a_{99}=+0.004388710\) \(a_{100}=+0.580562586\)

Showing 100 of 546 available coefficients

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