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: \( 6.4480090513 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-1.235516400\) \(a_{4}=+0.500000000\) \(a_{5}=-1.915618417\)
\(a_{6}=-0.873642025\) \(a_{7}=-0.065690131\) \(a_{8}=+0.353553391\) \(a_{9}=+0.526500774\) \(a_{10}=-1.354546773\)
\(a_{11}=-0.782442872\) \(a_{12}=-0.617758200\) \(a_{13}=-0.277350098\) \(a_{14}=-0.046449937\) \(a_{15}=+2.366777970\)
\(a_{16}=+0.250000000\) \(a_{17}=+1.085891743\) \(a_{18}=+0.372292268\) \(a_{19}=+0.775286743\) \(a_{20}=-0.957809209\)
\(a_{21}=+0.081161234\) \(a_{22}=-0.553270661\) \(a_{23}=+0.144149297\) \(a_{24}=-0.436821012\) \(a_{25}=+2.669593921\)
\(a_{26}=-0.196116135\) \(a_{27}=+0.585016059\) \(a_{28}=-0.032845065\) \(a_{29}=-0.627829232\) \(a_{30}=+1.673564752\)
\(a_{31}=-1.374624582\) \(a_{32}=+0.176776695\) \(a_{33}=+0.966721000\) \(a_{34}=+0.767841415\) \(a_{35}=+0.125837224\)
\(a_{36}=+0.263250387\) \(a_{37}=-0.787024146\) \(a_{38}=+0.548210514\) \(a_{39}=+0.342670595\) \(a_{40}=-0.677273387\)
\(a_{41}=+1.894449860\) \(a_{42}=+0.057389659\) \(a_{43}=-1.407766104\) \(a_{44}=-0.391221436\) \(a_{45}=-1.008574580\)
\(a_{46}=+0.101928945\) \(a_{47}=+0.458704739\) \(a_{48}=-0.308879100\) \(a_{49}=-0.995684807\) \(a_{50}=+1.887687964\)
\(a_{51}=-1.341637057\) \(a_{52}=-0.138675049\) \(a_{53}=+0.312702259\) \(a_{54}=+0.413668822\) \(a_{55}=+1.498861976\)
\(a_{56}=-0.023224968\) \(a_{57}=-0.957879486\) \(a_{58}=-0.443942307\) \(a_{59}=+0.913798442\) \(a_{60}=+1.183388985\)
\(a_{61}=-0.783081184\) \(a_{62}=-0.972006363\) \(a_{63}=-0.034585905\) \(a_{64}=+0.125000000\) \(a_{65}=+0.531296956\)
\(a_{66}=+0.683574975\) \(a_{67}=+0.130982515\) \(a_{68}=+0.542945871\) \(a_{69}=-0.178098821\) \(a_{70}=+0.088980354\)
\(a_{71}=-0.391521103\) \(a_{72}=+0.186146134\) \(a_{73}=+1.134590837\) \(a_{74}=-0.556510111\) \(a_{75}=-3.298327070\)
\(a_{76}=+0.387643372\) \(a_{77}=+0.051398774\) \(a_{78}=+0.242304701\) \(a_{79}=+0.386863496\) \(a_{80}=-0.478904604\)
\(a_{81}=-1.249297709\) \(a_{82}=+1.339578343\) \(a_{83}=+1.782876920\) \(a_{84}=+0.040580617\) \(a_{85}=-2.080154222\)
\(a_{86}=-0.995440959\) \(a_{87}=+0.775693312\) \(a_{88}=-0.276635330\) \(a_{89}=+1.745292132\) \(a_{90}=-0.713169925\)
\(a_{91}=+0.018219164\) \(a_{92}=+0.072074649\) \(a_{93}=+1.698371214\) \(a_{94}=+0.324353232\) \(a_{95}=-1.485153564\)
\(a_{96}=-0.218410506\) \(a_{97}=-0.641474973\) \(a_{98}=-0.704055479\) \(a_{99}=-0.411956778\) \(a_{100}=+1.334796960\)

Showing 100 of 270 available coefficients

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