Properties

Level $5$
Weight $0$
Character 5.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 10.6311530866 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.811669602\) \(a_{3}=+0.004862969\) \(a_{4}=-0.341192458\) \(a_{5}=+0.447213595\)
\(a_{6}=-0.003947124\) \(a_{7}=+1.423601123\) \(a_{8}=+1.088605148\) \(a_{9}=-0.999976352\) \(a_{10}=-0.362989681\)
\(a_{11}=-0.573571398\) \(a_{12}=-0.001659208\) \(a_{13}=-0.814418565\) \(a_{14}=-1.155493757\) \(a_{15}=+0.002174786\)
\(a_{16}=-0.542395249\) \(a_{17}=-0.310974347\) \(a_{18}=+0.811650407\) \(a_{19}=-0.577504162\) \(a_{20}=-0.152585906\)
\(a_{21}=+0.006922928\) \(a_{22}=+0.465550468\) \(a_{23}=-1.243081264\) \(a_{24}=+0.005293853\) \(a_{25}=+0.200000000\)
\(a_{26}=+0.661038792\) \(a_{27}=-0.009725823\) \(a_{28}=-0.485721966\) \(a_{29}=+1.456709571\) \(a_{30}=-0.001765208\)
\(a_{31}=-1.601840055\) \(a_{32}=-0.648359412\) \(a_{33}=-0.002789260\) \(a_{34}=+0.252408425\) \(a_{35}=+0.636653777\)
\(a_{36}=+0.341184389\) \(a_{37}=+0.101943763\) \(a_{38}=+0.468742574\) \(a_{39}=-0.003960492\) \(a_{40}=+0.486839022\)
\(a_{41}=-1.465447338\) \(a_{42}=-0.005619130\) \(a_{43}=-0.621065493\) \(a_{44}=+0.195698234\) \(a_{45}=-0.447203019\)
\(a_{46}=+1.008971274\) \(a_{47}=-0.190741726\) \(a_{48}=-0.002637652\) \(a_{49}=+1.026640159\) \(a_{50}=-0.162333922\)
\(a_{51}=-0.001512263\) \(a_{52}=+0.277873477\) \(a_{53}=-1.173161849\) \(a_{54}=+0.007894166\) \(a_{55}=-0.256508948\)
\(a_{56}=+1.549739530\) \(a_{57}=-0.002808408\) \(a_{58}=-1.182366896\) \(a_{59}=-1.154275981\) \(a_{60}=-0.000741951\)
\(a_{61}=+0.610024930\) \(a_{62}=+1.300164879\) \(a_{63}=-1.423567457\) \(a_{64}=+1.068648875\) \(a_{65}=-0.364219055\)
\(a_{66}=+0.002263958\) \(a_{67}=+1.082086807\) \(a_{68}=+0.106102102\) \(a_{69}=-0.006045066\) \(a_{70}=-0.516752518\)
\(a_{71}=+1.002786289\) \(a_{72}=-1.088579404\) \(a_{73}=-1.212019014\) \(a_{74}=-0.082744653\) \(a_{75}=+0.000972594\)
\(a_{76}=+0.197040064\) \(a_{77}=-0.816536886\) \(a_{78}=+0.003214610\) \(a_{79}=+0.847002447\) \(a_{80}=-0.242566528\)
\(a_{81}=+0.999929055\) \(a_{82}=+1.189459059\) \(a_{83}=-0.316832460\) \(a_{84}=-0.002362059\) \(a_{85}=-0.139071954\)
\(a_{86}=+0.504099985\) \(a_{87}=+0.007083929\) \(a_{88}=-0.624392762\) \(a_{89}=-1.148156975\) \(a_{90}=+0.362981073\)
\(a_{91}=-1.159407183\) \(a_{92}=+0.424129932\) \(a_{93}=-0.007789695\) \(a_{94}=+0.154819328\) \(a_{95}=-0.258267733\)
\(a_{96}=-0.003152934\) \(a_{97}=+1.049177933\) \(a_{98}=-0.833292836\) \(a_{99}=+0.573557852\) \(a_{100}=-0.068238491\)

Showing 100 of 5000 available coefficients

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