Properties

Level $29$
Weight $0$
Character 29.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 29 \)
Weight: \( 0 \)
Character: 29.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 2.13307606241 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.944016925\) \(a_{3}=-0.602490067\) \(a_{4}=-0.108832045\) \(a_{5}=+1.557653953\)
\(a_{6}=-0.568760821\) \(a_{7}=+1.464661958\) \(a_{8}=-1.046756218\) \(a_{9}=-0.637005719\) \(a_{10}=+1.470451695\)
\(a_{11}=-0.909724059\) \(a_{12}=+0.065570226\) \(a_{13}=+0.519531636\) \(a_{14}=+1.382665678\) \(a_{15}=-0.938471035\)
\(a_{16}=-0.879323542\) \(a_{17}=+1.216430174\) \(a_{18}=-0.601344180\) \(a_{19}=-0.679598612\) \(a_{20}=-0.169522664\)
\(a_{21}=-0.882444281\) \(a_{22}=-0.858794909\) \(a_{23}=-0.613101308\) \(a_{24}=+0.630660224\) \(a_{25}=+1.426285836\)
\(a_{26}=+0.490446657\) \(a_{27}=+0.986279685\) \(a_{28}=-0.159402155\) \(a_{29}=-0.185695337\) \(a_{30}=-0.885932541\)
\(a_{31}=-0.502285934\) \(a_{32}=+0.216659910\) \(a_{33}=+0.548099710\) \(a_{34}=+1.148330675\) \(a_{35}=+2.281436488\)
\(a_{36}=+0.069326633\) \(a_{37}=+0.118046370\) \(a_{38}=-0.641552592\) \(a_{39}=-0.313012644\) \(a_{40}=-1.630483935\)
\(a_{41}=-0.018849632\) \(a_{42}=-0.833042378\) \(a_{43}=-1.167885972\) \(a_{44}=+0.099007151\) \(a_{45}=-0.992234479\)
\(a_{46}=-0.578778013\) \(a_{47}=-0.688283785\) \(a_{48}=+0.529783701\) \(a_{49}=+1.145234653\) \(a_{50}=+1.346437958\)
\(a_{51}=-0.732887089\) \(a_{52}=-0.056541666\) \(a_{53}=+1.397638997\) \(a_{54}=+0.931064714\) \(a_{55}=-1.417035249\)
\(a_{56}=-1.533144050\) \(a_{57}=+0.409451444\) \(a_{58}=-0.175299568\) \(a_{59}=+1.157411881\) \(a_{60}=+0.102135754\)
\(a_{61}=+0.518959788\) \(a_{62}=-0.474166481\) \(a_{63}=-0.932998141\) \(a_{64}=+1.083854119\) \(a_{65}=+0.809250468\)
\(a_{66}=+0.517415382\) \(a_{67}=-0.975375323\) \(a_{68}=-0.132386593\) \(a_{69}=+0.369387412\) \(a_{70}=+2.153714741\)
\(a_{71}=-0.549652248\) \(a_{72}=+0.666789618\) \(a_{73}=-0.186043498\) \(a_{74}=+0.111437791\) \(a_{75}=-0.859323058\)
\(a_{76}=+0.073962179\) \(a_{77}=-1.332438348\) \(a_{78}=-0.295489156\) \(a_{79}=-0.680072371\) \(a_{80}=-1.369681696\)
\(a_{81}=+0.042781989\) \(a_{82}=-0.017794424\) \(a_{83}=+0.716581763\) \(a_{84}=+0.096038277\) \(a_{85}=+1.894777229\)
\(a_{86}=-1.102504188\) \(a_{87}=+0.111879586\) \(a_{88}=+0.952259344\) \(a_{89}=-1.254090546\) \(a_{90}=-0.936686145\)
\(a_{91}=+0.760938172\) \(a_{92}=+0.066725130\) \(a_{93}=+0.302622316\) \(a_{94}=-0.649751558\) \(a_{95}=-1.058579461\)
\(a_{96}=-0.130535454\) \(a_{97}=-0.561617432\) \(a_{98}=+1.081120912\) \(a_{99}=+0.579499521\) \(a_{100}=-0.155225510\)

Showing 100 of 1500 available coefficients

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