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: \( 3.23449524434 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.994323979\) \(a_{4}=+0.500000000\) \(a_{5}=-1.660329626\)
\(a_{6}=-0.703093228\) \(a_{7}=+0.143270681\) \(a_{8}=+0.353553391\) \(a_{9}=-0.011319824\) \(a_{10}=-1.174030338\)
\(a_{11}=+0.321687299\) \(a_{12}=-0.497161990\) \(a_{13}=+0.277350098\) \(a_{14}=+0.101307670\) \(a_{15}=+1.650905561\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.850717425\) \(a_{18}=-0.008004324\) \(a_{19}=-1.180853069\) \(a_{20}=-0.830164813\)
\(a_{21}=-0.142457473\) \(a_{22}=+0.227467270\) \(a_{23}=-1.871202593\) \(a_{24}=-0.351546614\) \(a_{25}=+1.756694468\)
\(a_{26}=+0.196116135\) \(a_{27}=+1.005579552\) \(a_{28}=+0.071635340\) \(a_{29}=+1.173642529\) \(a_{30}=+1.167366517\)
\(a_{31}=-1.081216440\) \(a_{32}=+0.176776695\) \(a_{33}=-0.319861395\) \(a_{34}=-0.601548060\) \(a_{35}=-0.237876555\)
\(a_{36}=-0.005659912\) \(a_{37}=+1.420581076\) \(a_{38}=-0.834989213\) \(a_{39}=-0.275775853\) \(a_{40}=-0.587015169\)
\(a_{41}=-0.420220604\) \(a_{42}=-0.100732647\) \(a_{43}=+0.750229459\) \(a_{44}=+0.160843651\) \(a_{45}=+0.018794641\)
\(a_{46}=-1.323140045\) \(a_{47}=-0.392754458\) \(a_{48}=-0.248580996\) \(a_{49}=-0.979473508\) \(a_{50}=+1.242170576\)
\(a_{51}=+0.845888736\) \(a_{52}=+0.138675039\) \(a_{53}=-1.611398133\) \(a_{54}=+0.711052119\) \(a_{55}=-0.534106939\)
\(a_{56}=+0.050653843\) \(a_{57}=+1.174150513\) \(a_{58}=+0.829890575\) \(a_{59}=+0.225457559\) \(a_{60}=+0.825452791\)
\(a_{61}=+0.558344064\) \(a_{62}=-0.764535511\) \(a_{63}=-0.001621793\) \(a_{64}=+0.125000005\) \(a_{65}=-0.460492529\)
\(a_{66}=-0.226176163\) \(a_{67}=-0.826751839\) \(a_{68}=-0.425358726\) \(a_{69}=+1.860581631\) \(a_{70}=-0.168204140\)
\(a_{71}=-0.407020947\) \(a_{72}=-0.004002111\) \(a_{73}=+1.109394247\) \(a_{74}=+1.004502540\) \(a_{75}=-1.746723462\)
\(a_{76}=-0.590426583\) \(a_{77}=+0.046088400\) \(a_{78}=-0.195003005\) \(a_{79}=+0.372337732\) \(a_{80}=-0.415082409\)
\(a_{81}=-0.988552033\) \(a_{82}=-0.297140829\) \(a_{83}=-0.575051105\) \(a_{84}=-0.071228733\) \(a_{85}=+1.412471319\)
\(a_{86}=+0.530492339\) \(a_{87}=-1.166980922\) \(a_{88}=+0.113733654\) \(a_{89}=-0.878626968\) \(a_{90}=+0.013289842\)
\(a_{91}=+0.039736125\) \(a_{92}=-0.935601316\) \(a_{93}=+1.075079404\) \(a_{94}=-0.277719299\) \(a_{95}=+1.960605334\)
\(a_{96}=-0.175773279\) \(a_{97}=+0.847551099\) \(a_{98}=-0.692592309\) \(a_{99}=-0.003641519\) \(a_{100}=+0.878347282\)

Showing 100 of 1500 available coefficients

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