Properties

Level $26$
Weight $0$
Character 26.1
Symmetry odd
Fricke sign $-1$

Related objects

Downloads

Learn more about

Maass form invariants

Level: \( 26 = 2 \cdot 13 \)
Weight: \( 0 \)
Character: 26.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 1.74983899964 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+0.270853732\) \(a_{4}=+0.500000000\) \(a_{5}=-0.513725464\)
\(a_{6}=+0.191522510\) \(a_{7}=-0.445786326\) \(a_{8}=+0.353553391\) \(a_{9}=-0.926638256\) \(a_{10}=-0.363258759\)
\(a_{11}=+1.378698271\) \(a_{12}=+0.135426866\) \(a_{13}=-0.277350098\) \(a_{14}=-0.315218534\) \(a_{15}=-0.139144459\)
\(a_{16}=+0.250000000\) \(a_{17}=+1.803266641\) \(a_{18}=-0.655232195\) \(a_{19}=+0.150422421\) \(a_{20}=-0.256862732\)
\(a_{21}=-0.120742890\) \(a_{22}=+0.974886897\) \(a_{23}=-0.860477743\) \(a_{24}=+0.095761255\) \(a_{25}=-0.736086148\)
\(a_{26}=-0.196116135\) \(a_{27}=-0.521837161\) \(a_{28}=-0.222893163\) \(a_{29}=-1.405589623\) \(a_{30}=-0.098389990\)
\(a_{31}=+0.514483906\) \(a_{32}=+0.176776695\) \(a_{33}=+0.373425571\) \(a_{34}=+1.275102070\) \(a_{35}=+0.229011788\)
\(a_{36}=-0.463319128\) \(a_{37}=-0.111679777\) \(a_{38}=+0.106364712\) \(a_{39}=-0.075121311\) \(a_{40}=-0.181629374\)
\(a_{41}=+1.154551358\) \(a_{42}=-0.085378119\) \(a_{43}=+0.836524787\) \(a_{44}=+0.689349132\) \(a_{45}=+0.476037675\)
\(a_{46}=-0.608449638\) \(a_{47}=+0.051087028\) \(a_{48}=+0.067713427\) \(a_{49}=-0.801274572\) \(a_{50}=-0.520491458\)
\(a_{51}=+0.488421509\) \(a_{52}=-0.138675087\) \(a_{53}=-1.256841428\) \(a_{54}=-0.368994650\) \(a_{55}=-0.708272411\)
\(a_{56}=-0.157609268\) \(a_{57}=+0.040742485\) \(a_{58}=-0.993901977\) \(a_{59}=+1.189579079\) \(a_{60}=-0.069572217\)
\(a_{61}=-0.504752717\) \(a_{62}=+0.363795142\) \(a_{63}=+0.413082595\) \(a_{64}=+0.125000017\) \(a_{65}=+0.142481809\)
\(a_{66}=+0.264051762\) \(a_{67}=-1.088736452\) \(a_{68}=+0.901633313\) \(a_{69}=-0.233063619\) \(a_{70}=+0.161935795\)
\(a_{71}=+1.540669255\) \(a_{72}=-0.327616052\) \(a_{73}=-0.114898146\) \(a_{74}=-0.078969506\) \(a_{75}=-0.199371688\)
\(a_{76}=+0.075211148\) \(a_{77}=-0.614604839\) \(a_{78}=-0.053118817\) \(a_{79}=+1.012297313\) \(a_{80}=-0.128431339\)
\(a_{81}=+0.785296757\) \(a_{82}=+0.816391092\) \(a_{83}=-1.703731031\) \(a_{84}=-0.060371514\) \(a_{85}=-0.926383983\)
\(a_{86}=+0.591512311\) \(a_{87}=-0.380709158\) \(a_{88}=+0.487443512\) \(a_{89}=+1.570061031\) \(a_{90}=+0.336609420\)
\(a_{91}=+0.123638962\) \(a_{92}=-0.430238892\) \(a_{93}=+0.139349884\) \(a_{94}=+0.036123980\) \(a_{95}=-0.077275772\)
\(a_{96}=+0.047880633\) \(a_{97}=-0.856859073\) \(a_{98}=-0.566586688\) \(a_{99}=-1.277554548\) \(a_{100}=-0.368043067\)

Showing 100 of 1500 available coefficients

Rows: Cols: