Properties

Level $26$
Weight $0$
Character 26.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 26 = 2 \cdot 13 \)
Weight: \( 0 \)
Character: 26.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 5.21207558554 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-1.314389060\) \(a_{4}=+0.500000000\) \(a_{5}=+0.401844276\)
\(a_{6}=+0.929413418\) \(a_{7}=+1.215463815\) \(a_{8}=-0.353553391\) \(a_{9}=+0.727618601\) \(a_{10}=-0.284146812\)
\(a_{11}=-0.600790570\) \(a_{12}=-0.657194530\) \(a_{13}=-0.277350098\) \(a_{14}=-0.859462706\) \(a_{15}=-0.528179720\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.684072255\) \(a_{18}=-0.514504047\) \(a_{19}=+1.075457206\) \(a_{20}=+0.200922138\)
\(a_{21}=-1.597592341\) \(a_{22}=+0.424823086\) \(a_{23}=-1.817203366\) \(a_{24}=+0.464706709\) \(a_{25}=-0.838521178\)
\(a_{26}=+0.196116135\) \(a_{27}=+0.358015131\) \(a_{28}=+0.607731907\) \(a_{29}=-1.026847122\) \(a_{30}=+0.373479461\)
\(a_{31}=-0.365386026\) \(a_{32}=-0.176776695\) \(a_{33}=+0.789672552\) \(a_{34}=-0.483712131\) \(a_{35}=+0.488427176\)
\(a_{36}=+0.363809301\) \(a_{37}=-0.782036015\) \(a_{38}=-0.760463083\) \(a_{39}=+0.364545935\) \(a_{40}=-0.142073406\)
\(a_{41}=+0.134529140\) \(a_{42}=+1.129668378\) \(a_{43}=-0.685922507\) \(a_{44}=-0.300395285\) \(a_{45}=+0.292389370\)
\(a_{46}=+1.284956823\) \(a_{47}=+0.695383794\) \(a_{48}=-0.328597265\) \(a_{49}=+0.477352285\) \(a_{50}=+0.592924011\)
\(a_{51}=-0.899137089\) \(a_{52}=-0.138675049\) \(a_{53}=-1.726998385\) \(a_{54}=-0.253154927\) \(a_{55}=-0.241424251\)
\(a_{56}=-0.429731353\) \(a_{57}=-1.413569186\) \(a_{58}=+0.726090563\) \(a_{59}=+0.890042413\) \(a_{60}=-0.264089860\)
\(a_{61}=-1.640126215\) \(a_{62}=+0.258366937\) \(a_{63}=+0.884394081\) \(a_{64}=+0.125000000\) \(a_{65}=-0.111451549\)
\(a_{66}=-0.558382817\) \(a_{67}=+0.703567413\) \(a_{68}=+0.342036128\) \(a_{69}=+2.388512224\) \(a_{70}=-0.345370168\)
\(a_{71}=-0.980123917\) \(a_{72}=-0.257252024\) \(a_{73}=+1.634236211\) \(a_{74}=+0.552982969\) \(a_{75}=+1.102143063\)
\(a_{76}=+0.537728603\) \(a_{77}=-0.730239198\) \(a_{78}=-0.257772903\) \(a_{79}=-0.295552985\) \(a_{80}=+0.100461069\)
\(a_{81}=-1.198189772\) \(a_{82}=-0.095126467\) \(a_{83}=-1.570871858\) \(a_{84}=-0.798796171\) \(a_{85}=+0.274890520\)
\(a_{86}=+0.485020456\) \(a_{87}=+1.349676623\) \(a_{88}=+0.212411543\) \(a_{89}=-1.218588844\) \(a_{90}=-0.206750506\)
\(a_{91}=-0.337109008\) \(a_{92}=-0.908601683\) \(a_{93}=+0.480259395\) \(a_{94}=-0.491710596\) \(a_{95}=+0.432166322\)
\(a_{96}=+0.232353354\) \(a_{97}=+1.261104545\) \(a_{98}=-0.337539038\) \(a_{99}=-0.437146394\) \(a_{100}=-0.419260589\)

Showing 100 of 280 available coefficients

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