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: \( 2.19080795918 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.453790872\) \(a_{4}=+0.500000000\) \(a_{5}=+0.556234794\)
\(a_{6}=-0.320878603\) \(a_{7}=+0.860941112\) \(a_{8}=+0.353553391\) \(a_{9}=-0.794073844\) \(a_{10}=+0.393317394\)
\(a_{11}=+0.131436540\) \(a_{12}=-0.226895436\) \(a_{13}=+0.277350098\) \(a_{14}=+0.608777299\) \(a_{15}=-0.252414272\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.267418195\) \(a_{18}=-0.561495000\) \(a_{19}=-0.780444176\) \(a_{20}=+0.278117397\)
\(a_{21}=-0.390687218\) \(a_{22}=+0.092939669\) \(a_{23}=+1.814973804\) \(a_{24}=-0.160439302\) \(a_{25}=-0.690602854\)
\(a_{26}=+0.196116135\) \(a_{27}=+0.814134335\) \(a_{28}=+0.430470556\) \(a_{29}=+0.473016435\) \(a_{30}=-0.178483844\)
\(a_{31}=+0.972939879\) \(a_{32}=+0.176776695\) \(a_{33}=-0.059644702\) \(a_{34}=-0.896200000\) \(a_{35}=+0.478885402\)
\(a_{36}=-0.397036923\) \(a_{37}=-1.706617199\) \(a_{38}=-0.551857371\) \(a_{39}=-0.125858942\) \(a_{40}=+0.196658696\)
\(a_{41}=+1.104119803\) \(a_{42}=-0.276257584\) \(a_{43}=-1.808594028\) \(a_{44}=+0.065718270\) \(a_{45}=-0.441691499\)
\(a_{46}=+1.283380280\) \(a_{47}=+0.490335457\) \(a_{48}=-0.113447720\) \(a_{49}=-0.258780394\) \(a_{50}=-0.488329973\)
\(a_{51}=+0.575142816\) \(a_{52}=+0.138675047\) \(a_{53}=-0.358415655\) \(a_{54}=+0.575679900\) \(a_{55}=+0.073109566\)
\(a_{56}=+0.304388681\) \(a_{57}=+0.354158410\) \(a_{58}=+0.334473158\) \(a_{59}=-0.121807899\) \(a_{60}=-0.126207057\)
\(a_{61}=+1.189744411\) \(a_{62}=+0.687972383\) \(a_{63}=-0.683650820\) \(a_{64}=+0.124999995\) \(a_{65}=+0.154271782\)
\(a_{66}=-0.042175173\) \(a_{67}=-0.107381262\) \(a_{68}=-0.633709089\) \(a_{69}=-0.823618540\) \(a_{70}=+0.338623122\)
\(a_{71}=-0.584358276\) \(a_{72}=-0.280747465\) \(a_{73}=+0.634426816\) \(a_{74}=-1.206760584\) \(a_{75}=+0.313389217\)
\(a_{76}=-0.390222062\) \(a_{77}=+0.113159116\) \(a_{78}=-0.088995700\) \(a_{79}=+0.555834243\) \(a_{80}=+0.139058691\)
\(a_{81}=+0.424627122\) \(a_{82}=+0.780730599\) \(a_{83}=-0.767285745\) \(a_{84}=-0.195343680\) \(a_{85}=-0.704982041\)
\(a_{86}=-1.278869151\) \(a_{87}=-0.214650513\) \(a_{88}=+0.046469796\) \(a_{89}=+0.983144692\) \(a_{90}=-0.312323003\)
\(a_{91}=+0.238782093\) \(a_{92}=+0.907486871\) \(a_{93}=-0.441511302\) \(a_{94}=+0.346719534\) \(a_{95}=-0.434110207\)
\(a_{96}=-0.080219635\) \(a_{97}=+0.534424006\) \(a_{98}=-0.182985365\) \(a_{99}=-0.104370330\) \(a_{100}=-0.345301448\)

Showing 100 of 1500 available coefficients

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