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: \( 5.76387668292 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.718504716\) \(a_{3}=+0.110708615\) \(a_{4}=-0.483750973\) \(a_{5}=-0.700848003\)
\(a_{6}=+0.079544662\) \(a_{7}=-0.499078869\) \(a_{8}=-1.066082071\) \(a_{9}=-0.987743602\) \(a_{10}=-0.503562595\)
\(a_{11}=+0.301511345\) \(a_{12}=-0.053555400\) \(a_{13}=+0.869225785\) \(a_{14}=-0.358590521\) \(a_{15}=-0.077589912\)
\(a_{16}=-0.282234022\) \(a_{17}=-0.889351955\) \(a_{18}=-0.709698436\) \(a_{19}=+0.602542287\) \(a_{20}=+0.339035904\)
\(a_{21}=-0.055252330\) \(a_{22}=+0.216637323\) \(a_{23}=+0.513394626\) \(a_{24}=-0.118024470\) \(a_{25}=-0.508812077\)
\(a_{26}=+0.624542826\) \(a_{27}=-0.220060342\) \(a_{28}=+0.241429888\) \(a_{29}=+0.296942212\) \(a_{30}=-0.055748718\)
\(a_{31}=-1.836495814\) \(a_{32}=+0.863295595\) \(a_{33}=+0.033379903\) \(a_{34}=-0.639003573\) \(a_{35}=+0.349778428\)
\(a_{36}=+0.477821929\) \(a_{37}=-0.947661204\) \(a_{38}=+0.432929475\) \(a_{39}=+0.096230783\) \(a_{40}=+0.747161491\)
\(a_{41}=-0.694807526\) \(a_{42}=-0.039699060\) \(a_{43}=+1.288596453\) \(a_{44}=-0.145856406\) \(a_{45}=+0.692258131\)
\(a_{46}=+0.368876460\) \(a_{47}=-0.767293714\) \(a_{48}=-0.031245738\) \(a_{49}=-0.750920283\) \(a_{50}=-0.365583877\)
\(a_{51}=-0.098458923\) \(a_{52}=-0.420488820\) \(a_{53}=-0.844656963\) \(a_{54}=-0.158114393\) \(a_{55}=-0.211313624\)
\(a_{56}=+0.532059034\) \(a_{57}=+0.066706622\) \(a_{58}=+0.213354379\) \(a_{59}=+1.423545345\) \(a_{60}=+0.037534195\)
\(a_{61}=+0.662375149\) \(a_{62}=-1.319530903\) \(a_{63}=+0.492961960\) \(a_{64}=+0.902515979\) \(a_{65}=-0.609195156\)
\(a_{66}=+0.023983618\) \(a_{67}=+0.589610559\) \(a_{68}=+0.430224874\) \(a_{69}=+0.056837208\) \(a_{70}=+0.251317450\)
\(a_{71}=-1.747146908\) \(a_{72}=+1.053015746\) \(a_{73}=-1.750662580\) \(a_{74}=-0.680899044\) \(a_{75}=-0.056329880\)
\(a_{76}=-0.291480418\) \(a_{77}=-0.150477941\) \(a_{78}=+0.069142271\) \(a_{79}=+1.039197004\) \(a_{80}=+0.197803151\)
\(a_{81}=+0.963381027\) \(a_{82}=-0.499222484\) \(a_{83}=-1.399036505\) \(a_{84}=+0.026728369\) \(a_{85}=+0.623300541\)
\(a_{86}=+0.925862628\) \(a_{87}=+0.032874061\) \(a_{88}=-0.321435839\) \(a_{89}=+0.936755935\) \(a_{90}=+0.497390732\)
\(a_{91}=-0.433812222\) \(a_{92}=-0.248355150\) \(a_{93}=-0.203315909\) \(a_{94}=-0.551304152\) \(a_{95}=-0.422290559\)
\(a_{96}=+0.095574260\) \(a_{97}=+1.746751249\) \(a_{98}=-0.539539764\) \(a_{99}=-0.297815902\) \(a_{100}=+0.246138337\)

Showing 100 of 546 available coefficients

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