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: \( 2.96820576382 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.651064300\) \(a_{3}=+0.012281917\) \(a_{4}=+1.726013322\) \(a_{5}=-1.578904167\)
\(a_{6}=-0.020278235\) \(a_{7}=+0.511297886\) \(a_{8}=-1.198694678\) \(a_{9}=-0.999849155\) \(a_{10}=+2.606872303\)
\(a_{11}=-0.301511345\) \(a_{12}=+0.021198752\) \(a_{13}=-0.211435761\) \(a_{14}=-0.844185686\) \(a_{15}=-0.019391970\)
\(a_{16}=+0.253108666\) \(a_{17}=+0.678146216\) \(a_{18}=+1.650815244\) \(a_{19}=-0.930824153\) \(a_{20}=-2.725209627\)
\(a_{21}=+0.006279720\) \(a_{22}=+0.497814615\) \(a_{23}=-0.108929539\) \(a_{24}=-0.014722264\) \(a_{25}=+1.492938375\)
\(a_{26}=+0.349094037\) \(a_{27}=-0.024561981\) \(a_{28}=+0.882506963\) \(a_{29}=-0.649426376\) \(a_{30}=+0.032017389\)
\(a_{31}=-0.298578994\) \(a_{32}=+0.780795994\) \(a_{33}=-0.003703138\) \(a_{34}=-1.119663006\) \(a_{35}=-0.807290362\)
\(a_{36}=-1.725752961\) \(a_{37}=-1.097985887\) \(a_{38}=+1.536850524\) \(a_{39}=-0.002596831\) \(a_{40}=+1.892624025\)
\(a_{41}=-0.061275266\) \(a_{42}=-0.010368230\) \(a_{43}=+0.728194805\) \(a_{44}=-0.520412564\) \(a_{45}=+1.578665998\)
\(a_{46}=+0.179849637\) \(a_{47}=+0.148353909\) \(a_{48}=+0.003108671\) \(a_{49}=-0.738574472\) \(a_{50}=-2.464937242\)
\(a_{51}=+0.008328936\) \(a_{52}=-0.364940940\) \(a_{53}=+1.054982517\) \(a_{54}=+0.040553408\) \(a_{55}=+0.476057517\)
\(a_{56}=-0.612890056\) \(a_{57}=-0.011432304\) \(a_{58}=+1.072244711\) \(a_{59}=-1.533431234\) \(a_{60}=-0.033470808\)
\(a_{61}=+1.598002331\) \(a_{62}=+0.492973131\) \(a_{63}=-0.511220758\) \(a_{64}=-1.542253033\) \(a_{65}=+0.333836815\)
\(a_{66}=+0.006114103\) \(a_{67}=-1.556806023\) \(a_{68}=+1.170489228\) \(a_{69}=-0.001337814\) \(a_{70}=+1.332888783\)
\(a_{71}=+0.135748032\) \(a_{72}=+1.198513861\) \(a_{73}=-1.414520440\) \(a_{74}=+1.812845305\) \(a_{75}=+0.018336136\)
\(a_{76}=-1.606614885\) \(a_{77}=-0.154162103\) \(a_{78}=+0.004287516\) \(a_{79}=+0.266385374\) \(a_{80}=-0.399634412\)
\(a_{81}=+0.999547559\) \(a_{82}=+0.101169367\) \(a_{83}=-0.175819605\) \(a_{84}=+0.010838879\) \(a_{85}=-1.070727851\)
\(a_{86}=-1.202296477\) \(a_{87}=-0.007976251\) \(a_{88}=+0.361420085\) \(a_{89}=+0.663178764\) \(a_{90}=-2.606479129\)
\(a_{91}=-0.108106669\) \(a_{92}=-0.188013732\) \(a_{93}=-0.003667169\) \(a_{94}=-0.244941893\) \(a_{95}=+1.469682091\)
\(a_{96}=+0.009589657\) \(a_{97}=+1.444435025\) \(a_{98}=+1.219433967\) \(a_{99}=+0.301465931\) \(a_{100}=+2.576831505\)

Showing 100 of 1000 available coefficients

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