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: \( 5.07871363155 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+1.511776408\) \(a_{4}=+0.500000000\) \(a_{5}=-0.259074468\)
\(a_{6}=-1.068987350\) \(a_{7}=+0.413002308\) \(a_{8}=-0.353553391\) \(a_{9}=+1.285467909\) \(a_{10}=+0.183193313\)
\(a_{11}=+0.269589894\) \(a_{12}=+0.755888204\) \(a_{13}=+0.277350098\) \(a_{14}=-0.292036733\) \(a_{15}=-0.391662669\)
\(a_{16}=+0.250000000\) \(a_{17}=+1.683715288\) \(a_{18}=-0.908963076\) \(a_{19}=+0.506591214\) \(a_{20}=-0.129537234\)
\(a_{21}=+0.624367146\) \(a_{22}=-0.190628843\) \(a_{23}=+1.125867436\) \(a_{24}=-0.534493675\) \(a_{25}=-0.932880420\)
\(a_{26}=-0.196116135\) \(a_{27}=+0.431563650\) \(a_{28}=+0.206501154\) \(a_{29}=+0.706904737\) \(a_{30}=+0.276947329\)
\(a_{31}=+1.385990651\) \(a_{32}=-0.176776695\) \(a_{33}=+0.407559642\) \(a_{34}=-1.190566497\) \(a_{35}=-0.106998353\)
\(a_{36}=+0.642733955\) \(a_{37}=-1.466041049\) \(a_{38}=-0.358214083\) \(a_{39}=+0.419291335\) \(a_{40}=+0.091596657\)
\(a_{41}=-1.245230391\) \(a_{42}=-0.441494243\) \(a_{43}=+1.340318351\) \(a_{44}=+0.134794947\) \(a_{45}=-0.333031915\)
\(a_{46}=-0.796108499\) \(a_{47}=-0.312039325\) \(a_{48}=+0.377944102\) \(a_{49}=-0.829429093\) \(a_{50}=+0.659646071\)
\(a_{51}=+2.545401050\) \(a_{52}=+0.138675049\) \(a_{53}=+0.778253791\) \(a_{54}=-0.305161584\) \(a_{55}=-0.069843859\)
\(a_{56}=-0.146018366\) \(a_{57}=+0.765852646\) \(a_{58}=-0.499857133\) \(a_{59}=-0.929406436\) \(a_{60}=-0.195831335\)
\(a_{61}=+0.156764801\) \(a_{62}=-0.980043388\) \(a_{63}=+0.530901214\) \(a_{64}=+0.125000000\) \(a_{65}=-0.071854329\)
\(a_{66}=-0.288188187\) \(a_{67}=-0.946199197\) \(a_{68}=+0.841857644\) \(a_{69}=+1.702059829\) \(a_{70}=+0.075659261\)
\(a_{71}=-0.014274005\) \(a_{72}=-0.454481538\) \(a_{73}=-1.952462542\) \(a_{74}=+1.036647567\) \(a_{75}=-1.410306611\)
\(a_{76}=+0.253295607\) \(a_{77}=+0.111341249\) \(a_{78}=-0.296483746\) \(a_{79}=-1.551379245\) \(a_{80}=-0.064768617\)
\(a_{81}=-0.633040164\) \(a_{82}=+0.880510854\) \(a_{83}=+1.344825869\) \(a_{84}=+0.312183573\) \(a_{85}=-0.436207643\)
\(a_{86}=-0.947748195\) \(a_{87}=+1.068681904\) \(a_{88}=-0.095314421\) \(a_{89}=+0.718713168\) \(a_{90}=+0.235489125\)
\(a_{91}=+0.114546231\) \(a_{92}=+0.562933718\) \(a_{93}=+2.095307968\) \(a_{94}=+0.220645123\) \(a_{95}=-0.131244849\)
\(a_{96}=-0.267246838\) \(a_{97}=+0.143074456\) \(a_{98}=+0.586494936\) \(a_{99}=+0.346549158\) \(a_{100}=-0.466440210\)

Showing 100 of 270 available coefficients

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