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: \( 5.83995527248 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-1.739250111\) \(a_{4}=+0.500000000\) \(a_{5}=+1.483159150\)
\(a_{6}=-1.229835547\) \(a_{7}=-0.313426553\) \(a_{8}=+0.353553391\) \(a_{9}=+2.024990947\) \(a_{10}=+1.048751892\)
\(a_{11}=-1.651207418\) \(a_{12}=-0.869625055\) \(a_{13}=+0.277350098\) \(a_{14}=-0.221626041\) \(a_{15}=-2.579584715\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.393815211\) \(a_{18}=+1.431884831\) \(a_{19}=-0.546139152\) \(a_{20}=+0.741579575\)
\(a_{21}=+0.545127166\) \(a_{22}=-1.167579962\) \(a_{23}=-0.490609051\) \(a_{24}=-0.614917774\) \(a_{25}=+1.199761063\)
\(a_{26}=+0.196116135\) \(a_{27}=-1.782715618\) \(a_{28}=-0.156713276\) \(a_{29}=-0.503515610\) \(a_{30}=-1.824041845\)
\(a_{31}=-0.482032655\) \(a_{32}=+0.176776695\) \(a_{33}=+2.871862685\) \(a_{34}=-0.985576187\) \(a_{35}=-0.464861459\)
\(a_{36}=+1.012495474\) \(a_{37}=+0.339657053\) \(a_{38}=-0.386178698\) \(a_{39}=-0.482381189\) \(a_{40}=+0.524375946\)
\(a_{41}=-0.990159746\) \(a_{42}=+0.385463116\) \(a_{43}=-1.396163858\) \(a_{44}=-0.825603709\) \(a_{45}=+3.003383851\)
\(a_{46}=-0.346912987\) \(a_{47}=+0.724484745\) \(a_{48}=-0.434812528\) \(a_{49}=-0.901763796\) \(a_{50}=+0.848359183\)
\(a_{51}=+2.424193260\) \(a_{52}=+0.138675049\) \(a_{53}=-0.833145433\) \(a_{54}=-1.260570303\) \(a_{55}=-2.449003390\)
\(a_{56}=-0.110813020\) \(a_{57}=+0.949872581\) \(a_{58}=-0.356039302\) \(a_{59}=-0.757349736\) \(a_{60}=-1.289792357\)
\(a_{61}=+1.520639942\) \(a_{62}=-0.340848559\) \(a_{63}=-0.634685932\) \(a_{64}=+0.125000000\) \(a_{65}=+0.411354336\)
\(a_{66}=+2.030713579\) \(a_{67}=-0.356348326\) \(a_{68}=-0.696907605\) \(a_{69}=+0.853291846\) \(a_{70}=-0.328706690\)
\(a_{71}=+1.406979348\) \(a_{72}=+0.715942415\) \(a_{73}=-0.681388684\) \(a_{74}=+0.240173806\) \(a_{75}=-2.086684561\)
\(a_{76}=-0.273069576\) \(a_{77}=+0.517532249\) \(a_{78}=-0.341095010\) \(a_{79}=+0.486926333\) \(a_{80}=+0.370789787\)
\(a_{81}=+1.075597389\) \(a_{82}=-0.700148671\) \(a_{83}=+1.718275131\) \(a_{84}=+0.272563583\) \(a_{85}=-2.067249783\)
\(a_{86}=-0.987236931\) \(a_{87}=+0.875739581\) \(a_{88}=-0.583789981\) \(a_{89}=-0.994207843\) \(a_{90}=+2.123713088\)
\(a_{91}=-0.086928885\) \(a_{92}=-0.245304525\) \(a_{93}=+0.838375348\) \(a_{94}=+0.512288076\) \(a_{95}=-0.810011280\)
\(a_{96}=-0.307458887\) \(a_{97}=-0.072779925\) \(a_{98}=-0.637643295\) \(a_{99}=-3.343680074\) \(a_{100}=+0.599880531\)

Showing 100 of 262 available coefficients

Rows: Cols: