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: \( 8.27450677876 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.390705009\) \(a_{3}=-1.059267563\) \(a_{4}=-0.847349596\) \(a_{5}=-1.058515891\)
\(a_{6}=-0.413861142\) \(a_{7}=+0.213702028\) \(a_{8}=-0.721768740\) \(a_{9}=+0.122047770\) \(a_{10}=-0.413567460\)
\(a_{11}=-0.301511345\) \(a_{12}=+0.897569942\) \(a_{13}=+0.588283442\) \(a_{14}=+0.083494453\) \(a_{15}=+1.121251548\)
\(a_{16}=+0.565350934\) \(a_{17}=+0.782893858\) \(a_{18}=+0.047684675\) \(a_{19}=-0.684164790\) \(a_{20}=+0.896933013\)
\(a_{21}=-0.226367627\) \(a_{22}=-0.117801993\) \(a_{23}=+0.710521589\) \(a_{24}=+0.764546214\) \(a_{25}=+0.120455891\)
\(a_{26}=+0.229845287\) \(a_{27}=+0.929986319\) \(a_{28}=-0.181080327\) \(a_{29}=-1.694395280\) \(a_{30}=+0.438078596\)
\(a_{31}=-0.944512899\) \(a_{32}=+0.942654182\) \(a_{33}=+0.319381187\) \(a_{34}=+0.305880552\) \(a_{35}=-0.226206993\)
\(a_{36}=-0.103417128\) \(a_{37}=-0.472653047\) \(a_{38}=-0.267306610\) \(a_{39}=-0.623149568\) \(a_{40}=+0.764003681\)
\(a_{41}=+1.371063150\) \(a_{42}=-0.088442966\) \(a_{43}=+0.771021050\) \(a_{44}=+0.255485516\) \(a_{45}=-0.129189503\)
\(a_{46}=+0.277604343\) \(a_{47}=-1.483426972\) \(a_{48}=-0.598857905\) \(a_{49}=-0.954331442\) \(a_{50}=+0.047062718\)
\(a_{51}=-0.829294069\) \(a_{52}=-0.498481737\) \(a_{53}=+1.911689259\) \(a_{54}=+0.363350313\) \(a_{55}=+0.319154550\)
\(a_{56}=-0.154243444\) \(a_{57}=+0.724713570\) \(a_{58}=-0.662008723\) \(a_{59}=+0.750353712\) \(a_{60}=-0.950092046\)
\(a_{61}=+1.580855454\) \(a_{62}=-0.369025920\) \(a_{63}=+0.026081856\) \(a_{64}=-0.197051224\) \(a_{65}=-0.622707372\)
\(a_{66}=+0.124783829\) \(a_{67}=+0.914647779\) \(a_{68}=-0.663384795\) \(a_{69}=-0.752632471\) \(a_{70}=-0.088380205\)
\(a_{71}=-1.234839733\) \(a_{72}=-0.088090265\) \(a_{73}=+1.231391591\) \(a_{74}=-0.184667913\) \(a_{75}=-0.127595018\)
\(a_{76}=+0.579726759\) \(a_{77}=-0.064433586\) \(a_{78}=-0.243467657\) \(a_{79}=+0.607257675\) \(a_{80}=-0.598432948\)
\(a_{81}=-1.107152112\) \(a_{82}=+0.535681241\) \(a_{83}=+1.071486595\) \(a_{84}=+0.191812517\) \(a_{85}=-0.828705589\)
\(a_{86}=+0.301241787\) \(a_{87}=+1.794817962\) \(a_{88}=+0.217621461\) \(a_{89}=-0.757803719\) \(a_{90}=-0.050474989\)
\(a_{91}=+0.125717361\) \(a_{92}=-0.602060174\) \(a_{93}=+1.000491876\) \(a_{94}=-0.579582348\) \(a_{95}=+0.724199302\)
\(a_{96}=-0.998522998\) \(a_{97}=-1.213309549\) \(a_{98}=-0.372862075\) \(a_{99}=-0.036798787\) \(a_{100}=-0.102068251\)

Showing 100 of 1000 available coefficients

Rows: Cols: