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: \( 6.6044925558 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+1.046383480\) \(a_{4}=+0.500000000\) \(a_{5}=-0.290768944\)
\(a_{6}=-0.739904854\) \(a_{7}=-0.307324204\) \(a_{8}=-0.353553391\) \(a_{9}=+0.094918387\) \(a_{10}=+0.205604692\)
\(a_{11}=+0.156115434\) \(a_{12}=+0.523191740\) \(a_{13}=+0.277350098\) \(a_{14}=+0.217311029\) \(a_{15}=-0.304255820\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.424278678\) \(a_{18}=-0.067117435\) \(a_{19}=-0.264925445\) \(a_{20}=-0.145384472\)
\(a_{21}=-0.321578971\) \(a_{22}=-0.110390282\) \(a_{23}=-0.068416747\) \(a_{24}=-0.369952427\) \(a_{25}=-0.915453421\)
\(a_{26}=-0.196116135\) \(a_{27}=-0.947062448\) \(a_{28}=-0.153662102\) \(a_{29}=-1.111081073\) \(a_{30}=+0.215141353\)
\(a_{31}=+0.049683161\) \(a_{32}=-0.176776695\) \(a_{33}=+0.163356611\) \(a_{34}=+0.300010330\) \(a_{35}=+0.089360334\)
\(a_{36}=+0.047459193\) \(a_{37}=+0.211830912\) \(a_{38}=+0.187330579\) \(a_{39}=+0.290214561\) \(a_{40}=+0.102802346\)
\(a_{41}=-0.408991911\) \(a_{42}=+0.227390671\) \(a_{43}=-1.246385401\) \(a_{44}=+0.078057717\) \(a_{45}=-0.027599319\)
\(a_{46}=+0.048377946\) \(a_{47}=-1.463891402\) \(a_{48}=+0.261595870\) \(a_{49}=-0.905551833\) \(a_{50}=+0.647323322\)
\(a_{51}=-0.443958199\) \(a_{52}=+0.138675049\) \(a_{53}=+0.050301205\) \(a_{54}=+0.669674279\) \(a_{55}=-0.045393520\)
\(a_{56}=+0.108655515\) \(a_{57}=-0.277213609\) \(a_{58}=+0.785652961\) \(a_{59}=-0.228561209\) \(a_{60}=-0.152127910\)
\(a_{61}=+0.334045063\) \(a_{62}=-0.035131300\) \(a_{63}=-0.029170718\) \(a_{64}=+0.125000000\) \(a_{65}=-0.080644795\)
\(a_{66}=-0.115510567\) \(a_{67}=+1.311704432\) \(a_{68}=-0.212139339\) \(a_{69}=-0.071590154\) \(a_{70}=-0.063187298\)
\(a_{71}=-0.032659080\) \(a_{72}=-0.033558718\) \(a_{73}=+1.567316297\) \(a_{74}=-0.149787074\) \(a_{75}=-0.957915336\)
\(a_{76}=-0.132462723\) \(a_{77}=-0.047978051\) \(a_{78}=-0.205212684\) \(a_{79}=-0.830305848\) \(a_{80}=-0.072692236\)
\(a_{81}=-1.085908887\) \(a_{82}=+0.289200954\) \(a_{83}=-1.543885748\) \(a_{84}=-0.160789485\) \(a_{85}=+0.123367063\)
\(a_{86}=+0.881327569\) \(a_{87}=-1.162616880\) \(a_{88}=-0.055195141\) \(a_{89}=+1.003908630\) \(a_{90}=+0.019515666\)
\(a_{91}=-0.085236398\) \(a_{92}=-0.034208373\) \(a_{93}=+0.051987638\) \(a_{94}=+1.035127537\) \(a_{95}=+0.077032092\)
\(a_{96}=-0.184976214\) \(a_{97}=+1.374105805\) \(a_{98}=+0.640321842\) \(a_{99}=+0.014818225\) \(a_{100}=-0.457726711\)

Showing 100 of 280 available coefficients

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