Properties

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

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 26 = 2 \cdot 13 \)
Weight: \( 0 \)
Character: 26.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 3.72299493743 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-1.907207540\) \(a_{4}=+0.500000000\) \(a_{5}=+0.063335378\)
\(a_{6}=+1.348599385\) \(a_{7}=-1.029807324\) \(a_{8}=-0.353553391\) \(a_{9}=+2.637440602\) \(a_{10}=-0.044784876\)
\(a_{11}=-0.781021506\) \(a_{12}=-0.953603770\) \(a_{13}=+0.277350098\) \(a_{14}=+0.728183742\) \(a_{15}=-0.120793711\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.079732214\) \(a_{18}=-1.864952134\) \(a_{19}=+1.261083293\) \(a_{20}=+0.031667689\)
\(a_{21}=+1.964056293\) \(a_{22}=+0.552265603\) \(a_{23}=+0.661189250\) \(a_{24}=+0.674299692\) \(a_{25}=-0.995988630\)
\(a_{26}=-0.196116135\) \(a_{27}=-3.122939062\) \(a_{28}=-0.514903662\) \(a_{29}=+1.465027975\) \(a_{30}=+0.085414052\)
\(a_{31}=-1.053982554\) \(a_{32}=-0.176776695\) \(a_{33}=+1.489570106\) \(a_{34}=+0.056379189\) \(a_{35}=-0.065223236\)
\(a_{36}=+1.318720301\) \(a_{37}=-0.448642953\) \(a_{38}=-0.891720548\) \(a_{39}=-0.528964198\) \(a_{40}=-0.022392438\)
\(a_{41}=+1.462019060\) \(a_{42}=-1.388797523\) \(a_{43}=+0.334374306\) \(a_{44}=-0.390510753\) \(a_{45}=+0.167043298\)
\(a_{46}=-0.467531402\) \(a_{47}=+0.682399767\) \(a_{48}=-0.476801885\) \(a_{49}=+0.060503124\) \(a_{50}=+0.704270314\)
\(a_{51}=+0.152065880\) \(a_{52}=+0.138675049\) \(a_{53}=+0.604207055\) \(a_{54}=+2.208251388\) \(a_{55}=-0.049466293\)
\(a_{56}=+0.364091871\) \(a_{57}=-2.405147565\) \(a_{58}=-1.035931216\) \(a_{59}=+1.104805637\) \(a_{60}=-0.060396856\)
\(a_{61}=+1.250871071\) \(a_{62}=+0.745278211\) \(a_{63}=-2.716055648\) \(a_{64}=+0.125000000\) \(a_{65}=+0.017566073\)
\(a_{66}=-1.053285123\) \(a_{67}=-0.694603814\) \(a_{68}=-0.039866107\) \(a_{69}=-1.261025123\) \(a_{70}=+0.046119793\)
\(a_{71}=-0.641930895\) \(a_{72}=-0.932476067\) \(a_{73}=-0.296327233\) \(a_{74}=+0.317238474\) \(a_{75}=+1.899557025\)
\(a_{76}=+0.630541646\) \(a_{77}=+0.804301667\) \(a_{78}=+0.374034172\) \(a_{79}=+0.012844155\) \(a_{80}=+0.015833845\)
\(a_{81}=+3.318652326\) \(a_{82}=-1.033803592\) \(a_{83}=+0.601254909\) \(a_{84}=+0.982028146\) \(a_{85}=-0.005049870\)
\(a_{86}=-0.236438340\) \(a_{87}=-2.794112400\) \(a_{88}=+0.276132802\) \(a_{89}=-0.590427746\) \(a_{90}=-0.118117449\)
\(a_{91}=-0.285617162\) \(a_{92}=+0.330594625\) \(a_{93}=+2.010163474\) \(a_{94}=-0.482529503\) \(a_{95}=+0.079871187\)
\(a_{96}=+0.337149846\) \(a_{97}=+0.702238380\) \(a_{98}=-0.042782169\) \(a_{99}=-2.059897831\) \(a_{100}=-0.497994315\)

Showing 100 of 268 available coefficients

Rows: Cols: