Properties

Level $11$
Weight $0$
Character 11.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 7.88007383383 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.190869837\) \(a_{3}=+1.336481893\) \(a_{4}=-0.963568705\) \(a_{5}=-0.308223024\)
\(a_{6}=+0.255094082\) \(a_{7}=-0.581300973\) \(a_{8}=-0.374786040\) \(a_{9}=+0.786183849\) \(a_{10}=-0.058830478\)
\(a_{11}=+0.301511345\) \(a_{12}=-1.287792127\) \(a_{13}=-1.728267645\) \(a_{14}=-0.110952822\) \(a_{15}=-0.411934490\)
\(a_{16}=+0.892033355\) \(a_{17}=-1.235647697\) \(a_{18}=+0.150058784\) \(a_{19}=-0.684041569\) \(a_{20}=+0.296994060\)
\(a_{21}=-0.776898225\) \(a_{22}=+0.057549421\) \(a_{23}=+0.591919579\) \(a_{24}=-0.500894756\) \(a_{25}=-0.904998568\)
\(a_{26}=-0.329874165\) \(a_{27}=-0.285761414\) \(a_{28}=+0.560123426\) \(a_{29}=+0.731657754\) \(a_{30}=-0.078625869\)
\(a_{31}=-0.220944932\) \(a_{32}=+0.545048301\) \(a_{33}=+0.402964452\) \(a_{34}=-0.235847875\) \(a_{35}=+0.179170343\)
\(a_{36}=-0.757542154\) \(a_{37}=+0.494502527\) \(a_{38}=-0.130562903\) \(a_{39}=-2.309798414\) \(a_{40}=+0.115517686\)
\(a_{41}=+0.849010864\) \(a_{42}=-0.148286438\) \(a_{43}=+0.853172982\) \(a_{44}=-0.290526896\) \(a_{45}=-0.242319963\)
\(a_{46}=+0.112979594\) \(a_{47}=+1.191008123\) \(a_{48}=+1.192186426\) \(a_{49}=-0.662089179\) \(a_{50}=-0.172736930\)
\(a_{51}=-1.651420773\) \(a_{52}=+1.665304617\) \(a_{53}=-0.902128167\) \(a_{54}=-0.054543235\) \(a_{55}=-0.092932738\)
\(a_{56}=+0.217863489\) \(a_{57}=-0.914209171\) \(a_{58}=+0.139651397\) \(a_{59}=+1.317619925\) \(a_{60}=+0.396927183\)
\(a_{61}=-1.849405784\) \(a_{62}=-0.042171723\) \(a_{63}=-0.457009437\) \(a_{64}=-0.788000074\) \(a_{65}=+0.532691879\)
\(a_{66}=+0.076913760\) \(a_{67}=-0.063838330\) \(a_{68}=+1.190631452\) \(a_{69}=+0.791089800\) \(a_{70}=+0.034198214\)
\(a_{71}=+1.072359477\) \(a_{72}=-0.294650731\) \(a_{73}=+0.586838191\) \(a_{74}=+0.094385617\) \(a_{75}=-1.209514199\)
\(a_{76}=+0.659121049\) \(a_{77}=-0.175268838\) \(a_{78}=-0.440870848\) \(a_{79}=-1.164952209\) \(a_{80}=-0.274945218\)
\(a_{81}=-1.168098804\) \(a_{82}=+0.162050566\) \(a_{83}=-0.244359729\) \(a_{84}=+0.748594816\) \(a_{85}=+0.380855069\)
\(a_{86}=+0.162844988\) \(a_{87}=+0.977847340\) \(a_{88}=-0.113002243\) \(a_{89}=-0.946010817\) \(a_{90}=-0.046251572\)
\(a_{91}=+1.004643664\) \(a_{92}=-0.570355183\) \(a_{93}=-0.295288901\) \(a_{94}=+0.227327527\) \(a_{95}=+0.210837361\)
\(a_{96}=+0.728447185\) \(a_{97}=-1.610578575\) \(a_{98}=-0.126372854\) \(a_{99}=+0.237043350\) \(a_{100}=+0.872028298\)

Showing 100 of 546 available coefficients

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