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: \( 4.71629255449 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+0.688527311\) \(a_{4}=+0.500000000\) \(a_{5}=-0.862458558\)
\(a_{6}=-0.486862330\) \(a_{7}=+1.455161953\) \(a_{8}=-0.353553391\) \(a_{9}=-0.525930143\) \(a_{10}=+0.609850295\)
\(a_{11}=-1.767294433\) \(a_{12}=+0.344263655\) \(a_{13}=+0.277350098\) \(a_{14}=-1.028954885\) \(a_{15}=-0.593826272\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.463662504\) \(a_{18}=+0.371888770\) \(a_{19}=-0.156850212\) \(a_{20}=-0.431229279\)
\(a_{21}=+1.001918746\) \(a_{22}=+1.249665878\) \(a_{23}=-1.113883316\) \(a_{24}=-0.243431165\) \(a_{25}=-0.256165235\)
\(a_{26}=-0.196116135\) \(a_{27}=-1.050644577\) \(a_{28}=+0.727580976\) \(a_{29}=+1.475371910\) \(a_{30}=+0.419898583\)
\(a_{31}=-0.225516780\) \(a_{32}=-0.176776695\) \(a_{33}=-1.216830483\) \(a_{34}=+1.034965682\) \(a_{35}=-1.255016880\)
\(a_{36}=-0.262965071\) \(a_{37}=+0.259368570\) \(a_{38}=+0.110909849\) \(a_{39}=+0.190963117\) \(a_{40}=+0.304925147\)
\(a_{41}=+0.038038461\) \(a_{42}=-0.708463539\) \(a_{43}=-1.769567696\) \(a_{44}=-0.883647217\) \(a_{45}=+0.453592952\)
\(a_{46}=+0.787634446\) \(a_{47}=+1.168450318\) \(a_{48}=+0.172131828\) \(a_{49}=+1.117496309\) \(a_{50}=+0.181136175\)
\(a_{51}=-1.007771609\) \(a_{52}=+0.138675050\) \(a_{53}=+0.308953921\) \(a_{54}=+0.742917905\) \(a_{55}=+1.524218213\)
\(a_{56}=-0.514477448\) \(a_{57}=-0.107995658\) \(a_{58}=-1.043245477\) \(a_{59}=+0.212497545\) \(a_{60}=-0.296913132\)
\(a_{61}=-0.368222103\) \(a_{62}=+0.159464447\) \(a_{63}=-0.765313529\) \(a_{64}=+0.124999982\) \(a_{65}=-0.239202938\)
\(a_{66}=+0.860429070\) \(a_{67}=-0.116823731\) \(a_{68}=-0.731831193\) \(a_{69}=-0.766939063\) \(a_{70}=+0.887430911\)
\(a_{71}=+0.254441784\) \(a_{72}=+0.185944367\) \(a_{73}=-0.326352877\) \(a_{74}=-0.183401260\) \(a_{75}=-0.176376775\)
\(a_{76}=-0.078425132\) \(a_{77}=-2.571699585\) \(a_{78}=-0.135031327\) \(a_{79}=+0.526380542\) \(a_{80}=-0.215614652\)
\(a_{81}=-0.197467345\) \(a_{82}=-0.026897246\) \(a_{83}=+0.679214976\) \(a_{84}=+0.500959375\) \(a_{85}=+1.262348230\)
\(a_{86}=+1.251273270\) \(a_{87}=+1.015833912\) \(a_{88}=+0.624832919\) \(a_{89}=-0.160036630\) \(a_{90}=-0.320738689\)
\(a_{91}=+0.403589332\) \(a_{92}=-0.556941662\) \(a_{93}=-0.155274472\) \(a_{94}=-0.826219133\) \(a_{95}=+0.135276804\)
\(a_{96}=-0.121715542\) \(a_{97}=+1.131720560\) \(a_{98}=-0.790189158\) \(a_{99}=+0.929473396\) \(a_{100}=-0.128082645\)

Showing 100 of 1500 available coefficients

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