Properties

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

Related objects

Downloads

Learn more about

Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 4.01806918822 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.535178094\) \(a_{3}=+0.385956352\) \(a_{4}=-0.713584408\) \(a_{5}=-0.959542110\)
\(a_{6}=-0.206555385\) \(a_{7}=-0.213614449\) \(a_{8}=+0.917072837\) \(a_{9}=-0.851037694\) \(a_{10}=+0.513525918\)
\(a_{11}=+0.301511345\) \(a_{12}=-0.275412435\) \(a_{13}=-0.455460042\) \(a_{14}=+0.114321774\) \(a_{15}=-0.370341372\)
\(a_{16}=+0.222787114\) \(a_{17}=-1.215734688\) \(a_{18}=+0.455456731\) \(a_{19}=+0.988144826\) \(a_{20}=+0.684714288\)
\(a_{21}=-0.082445854\) \(a_{22}=-0.161362267\) \(a_{23}=-0.271082058\) \(a_{24}=+0.353950087\) \(a_{25}=-0.079278938\)
\(a_{26}=+0.243752236\) \(a_{27}=-0.714419755\) \(a_{28}=+0.152431945\) \(a_{29}=-1.811931293\) \(a_{30}=+0.198198591\)
\(a_{31}=+1.129545322\) \(a_{32}=-1.036303643\) \(a_{33}=+0.116370219\) \(a_{34}=+0.650634573\) \(a_{35}=+0.204972059\)
\(a_{36}=+0.607287229\) \(a_{37}=+1.734696634\) \(a_{38}=-0.528833465\) \(a_{39}=-0.175787696\) \(a_{40}=-0.879970006\)
\(a_{41}=+0.188832197\) \(a_{42}=+0.044123215\) \(a_{43}=-0.820669227\) \(a_{44}=-0.215153795\) \(a_{45}=+0.816606506\)
\(a_{46}=+0.145077180\) \(a_{47}=-1.204127633\) \(a_{48}=+0.085986101\) \(a_{49}=-0.954368869\) \(a_{50}=+0.042428354\)
\(a_{51}=-0.469220523\) \(a_{52}=+0.325009184\) \(a_{53}=+1.690692221\) \(a_{54}=+0.382341799\) \(a_{55}=-0.289312823\)
\(a_{56}=-0.195900002\) \(a_{57}=+0.381380765\) \(a_{58}=+0.969705914\) \(a_{59}=-0.695485136\) \(a_{60}=+0.264269861\)
\(a_{61}=-0.625867418\) \(a_{62}=-0.604507934\) \(a_{63}=+0.181793913\) \(a_{64}=+0.331819877\) \(a_{65}=+0.437033369\)
\(a_{66}=-0.062278822\) \(a_{67}=-0.124870913\) \(a_{68}=+0.867529321\) \(a_{69}=-0.104625844\) \(a_{70}=-0.109696560\)
\(a_{71}=-0.931745087\) \(a_{72}=-0.780463550\) \(a_{73}=+0.350576300\) \(a_{74}=-0.928371634\) \(a_{75}=-0.030598215\)
\(a_{76}=-0.705124756\) \(a_{77}=-0.064407185\) \(a_{78}=+0.094077736\) \(a_{79}=+0.954185764\) \(a_{80}=-0.213773613\)
\(a_{81}=+0.575302821\) \(a_{82}=-0.101058889\) \(a_{83}=+0.503969939\) \(a_{84}=+0.058832146\) \(a_{85}=+1.166548714\)
\(a_{86}=+0.439204175\) \(a_{87}=-0.699326388\) \(a_{88}=+0.276507866\) \(a_{89}=+0.164346908\) \(a_{90}=-0.437029915\)
\(a_{91}=+0.097292853\) \(a_{92}=+0.193439927\) \(a_{93}=+0.435955174\) \(a_{94}=+0.644422734\) \(a_{95}=-0.948166565\)
\(a_{96}=-0.399967971\) \(a_{97}=-1.089878820\) \(a_{98}=+0.510757350\) \(a_{99}=-0.256597525\) \(a_{100}=+0.056572186\)

Showing 100 of 1000 available coefficients

Rows: Cols: