Properties

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

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 11.1502516476 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.724451872\) \(a_{3}=+0.066226045\) \(a_{4}=-0.475169485\) \(a_{5}=+1.677881589\)
\(a_{6}=+0.047977582\) \(a_{7}=+1.762571765\) \(a_{8}=-1.068689295\) \(a_{9}=-0.995614111\) \(a_{10}=+1.215544459\)
\(a_{11}=-0.301511345\) \(a_{12}=-0.031468596\) \(a_{13}=+0.608893294\) \(a_{14}=+1.276898415\) \(a_{15}=+0.111119462\)
\(a_{16}=-0.299044476\) \(a_{17}=-0.186382091\) \(a_{18}=-0.721274507\) \(a_{19}=+0.846570460\) \(a_{20}=-0.797278130\)
\(a_{21}=+0.116728157\) \(a_{22}=-0.218430458\) \(a_{23}=+0.940909050\) \(a_{24}=-0.070775065\) \(a_{25}=+1.815286627\)
\(a_{26}=+0.441113887\) \(a_{27}=-0.132161630\) \(a_{28}=-0.837520317\) \(a_{29}=+1.362610728\) \(a_{30}=+0.080500702\)
\(a_{31}=-0.196819659\) \(a_{32}=+0.852045964\) \(a_{33}=-0.019967904\) \(a_{34}=-0.135024855\) \(a_{35}=+2.957386713\)
\(a_{36}=+0.473085444\) \(a_{37}=-0.721239905\) \(a_{38}=+0.613299555\) \(a_{39}=+0.040324595\) \(a_{40}=-1.793134093\)
\(a_{41}=+0.919185064\) \(a_{42}=+0.084563932\) \(a_{43}=+0.685446653\) \(a_{44}=+0.143268990\) \(a_{45}=-1.670522586\)
\(a_{46}=+0.681643323\) \(a_{47}=-1.027486775\) \(a_{48}=-0.019804533\) \(a_{49}=+2.106659226\) \(a_{50}=+1.315087796\)
\(a_{51}=-0.012343349\) \(a_{52}=-0.289327513\) \(a_{53}=+0.344868201\) \(a_{54}=-0.095744740\) \(a_{55}=-0.505900334\)
\(a_{56}=-1.883641577\) \(a_{57}=+0.056065013\) \(a_{58}=+0.987145893\) \(a_{59}=+0.423985172\) \(a_{60}=-0.052800577\)
\(a_{61}=-0.107662996\) \(a_{62}=-0.142586371\) \(a_{63}=-1.754841320\) \(a_{64}=+0.916310771\) \(a_{65}=+1.021650848\)
\(a_{66}=-0.014465785\) \(a_{67}=-1.446000070\) \(a_{68}=+0.088563082\) \(a_{69}=+0.062312685\) \(a_{70}=+2.142484342\)
\(a_{71}=-0.950854092\) \(a_{72}=+1.064002143\) \(a_{73}=+0.312705318\) \(a_{74}=-0.522503600\) \(a_{75}=+0.120219254\)
\(a_{76}=-0.402264449\) \(a_{77}=-0.531435383\) \(a_{78}=+0.029213228\) \(a_{79}=-0.577666926\) \(a_{80}=-0.501761221\)
\(a_{81}=+0.986861569\) \(a_{82}=+0.665905340\) \(a_{83}=-0.432377974\) \(a_{84}=-0.055465658\) \(a_{85}=-0.312727078\)
\(a_{86}=+0.496573111\) \(a_{87}=+0.090240319\) \(a_{88}=+0.322221946\) \(a_{89}=-1.591653850\) \(a_{90}=-1.210213216\)
\(a_{91}=+1.073218128\) \(a_{92}=-0.447091268\) \(a_{93}=-0.013034588\) \(a_{94}=-0.744364718\) \(a_{95}=+1.420444989\)
\(a_{96}=+0.056427634\) \(a_{97}=+0.334603428\) \(a_{98}=+1.526173221\) \(a_{99}=+0.300188949\) \(a_{100}=-0.862568811\)

Showing 100 of 546 available coefficients

Rows: Cols: