Properties

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

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Maass form invariants

Level: \( 26 = 2 \cdot 13 \)
Weight: \( 0 \)
Character: 26.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 5.72967515381 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-1.502189683\) \(a_{4}=+0.500000000\) \(a_{5}=-0.577179779\)
\(a_{6}=-1.062208512\) \(a_{7}=-1.605895899\) \(a_{8}=+0.353553391\) \(a_{9}=+1.256573845\) \(a_{10}=-0.408127735\)
\(a_{11}=+1.531985828\) \(a_{12}=-0.751094842\) \(a_{13}=+0.277350098\) \(a_{14}=-1.135539880\) \(a_{15}=+0.867033509\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.041697564\) \(a_{18}=+0.888531887\) \(a_{19}=+1.451894617\) \(a_{20}=-0.288589889\)
\(a_{21}=+2.412360252\) \(a_{22}=+1.083277567\) \(a_{23}=-0.971267269\) \(a_{24}=-0.531104256\) \(a_{25}=-0.666863503\)
\(a_{26}=+0.196116135\) \(a_{27}=-0.385422583\) \(a_{28}=-0.802947949\) \(a_{29}=+0.264159852\) \(a_{30}=+0.613085274\)
\(a_{31}=+1.694198697\) \(a_{32}=+0.176776695\) \(a_{33}=-2.301333305\) \(a_{34}=-0.029484630\) \(a_{35}=+0.926890639\)
\(a_{36}=+0.628286923\) \(a_{37}=-0.664573896\) \(a_{38}=+1.026644529\) \(a_{39}=-0.416632456\) \(a_{40}=-0.204063868\)
\(a_{41}=-0.654808224\) \(a_{42}=+1.705796293\) \(a_{43}=-0.069397900\) \(a_{44}=+0.765992914\) \(a_{45}=-0.725269014\)
\(a_{46}=-0.686789672\) \(a_{47}=+0.518161658\) \(a_{48}=-0.375547421\) \(a_{49}=+1.578901638\) \(a_{50}=-0.471543705\)
\(a_{51}=+0.062637650\) \(a_{52}=+0.138675049\) \(a_{53}=-0.113428417\) \(a_{54}=-0.272534922\) \(a_{55}=-0.884231241\)
\(a_{56}=-0.567769940\) \(a_{57}=-2.181021116\) \(a_{58}=+0.186789223\) \(a_{59}=+1.206271106\) \(a_{60}=+0.433516754\)
\(a_{61}=+0.659566334\) \(a_{62}=+1.197979387\) \(a_{63}=-2.017926785\) \(a_{64}=+0.125000000\) \(a_{65}=-0.160080868\)
\(a_{66}=-1.627288386\) \(a_{67}=+1.128294422\) \(a_{68}=-0.020848782\) \(a_{69}=+1.459027671\) \(a_{70}=+0.655410657\)
\(a_{71}=-0.974021763\) \(a_{72}=+0.444265944\) \(a_{73}=+1.461256727\) \(a_{74}=-0.469924709\) \(a_{75}=+1.001755475\)
\(a_{76}=+0.725947309\) \(a_{77}=-2.460209758\) \(a_{78}=-0.294603635\) \(a_{79}=+0.478414732\) \(a_{80}=-0.144294945\)
\(a_{81}=-0.677596017\) \(a_{82}=-0.463019335\) \(a_{83}=+0.645954909\) \(a_{84}=+1.206180126\) \(a_{85}=+0.024066991\)
\(a_{86}=-0.049071725\) \(a_{87}=-0.396818205\) \(a_{88}=+0.541638784\) \(a_{89}=+1.285608592\) \(a_{90}=-0.512842638\)
\(a_{91}=-0.445395385\) \(a_{92}=-0.485633634\) \(a_{93}=-2.545007804\) \(a_{94}=+0.366395622\) \(a_{95}=-0.838004214\)
\(a_{96}=-0.265552128\) \(a_{97}=+0.160974596\) \(a_{98}=+1.116452055\) \(a_{99}=+1.925053322\) \(a_{100}=-0.333431752\)

Showing 100 of 280 available coefficients

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