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: \( 4.56386265109 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.217689791\) \(a_{4}=+0.500000000\) \(a_{5}=-0.303684428\)
\(a_{6}=-0.153929928\) \(a_{7}=-0.840324307\) \(a_{8}=+0.353553391\) \(a_{9}=-0.952611155\) \(a_{10}=-0.214737317\)
\(a_{11}=-1.977221445\) \(a_{12}=-0.108844895\) \(a_{13}=+0.277350098\) \(a_{14}=-0.594199016\) \(a_{15}=+0.066109000\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.673035088\) \(a_{18}=-0.673597807\) \(a_{19}=+0.889486505\) \(a_{20}=-0.151842214\)
\(a_{21}=+0.182930022\) \(a_{22}=-1.398106692\) \(a_{23}=-0.811272538\) \(a_{24}=-0.076964963\) \(a_{25}=-0.907775768\)
\(a_{26}=+0.196116135\) \(a_{27}=+0.425063514\) \(a_{28}=-0.420162154\) \(a_{29}=-0.368018970\) \(a_{30}=+0.046746122\)
\(a_{31}=+1.042554350\) \(a_{32}=+0.176776695\) \(a_{33}=+0.430420923\) \(a_{34}=+0.475907676\) \(a_{35}=+0.255193405\)
\(a_{36}=-0.476305579\) \(a_{37}=-0.750615641\) \(a_{38}=+0.628961937\) \(a_{39}=-0.060376284\) \(a_{40}=-0.107368657\)
\(a_{41}=+1.804589394\) \(a_{42}=+0.129351058\) \(a_{43}=-0.296110175\) \(a_{44}=-0.988610719\) \(a_{45}=+0.289293175\)
\(a_{46}=-0.573656315\) \(a_{47}=-1.239252525\) \(a_{48}=-0.054422457\) \(a_{49}=-0.293855066\) \(a_{50}=-0.641894395\)
\(a_{51}=-0.146512860\) \(a_{52}=+0.138675052\) \(a_{53}=+0.706553962\) \(a_{54}=+0.300565299\) \(a_{55}=+0.600451370\)
\(a_{56}=-0.297099529\) \(a_{57}=-0.193632099\) \(a_{58}=-0.260228726\) \(a_{59}=-0.612031142\) \(a_{60}=+0.033054505\)
\(a_{61}=-0.123256009\) \(a_{62}=+0.737197273\) \(a_{63}=+0.800502261\) \(a_{64}=+0.124999973\) \(a_{65}=-0.084226904\)
\(a_{66}=+0.304353562\) \(a_{67}=+0.437429311\) \(a_{68}=+0.336517586\) \(a_{69}=+0.176605701\) \(a_{70}=+0.180448942\)
\(a_{71}=-0.474367924\) \(a_{72}=-0.336798879\) \(a_{73}=-1.009703526\) \(a_{74}=-0.530765525\) \(a_{75}=+0.197613517\)
\(a_{76}=+0.444743264\) \(a_{77}=+1.661507257\) \(a_{78}=-0.042692434\) \(a_{79}=-1.242081047\) \(a_{80}=-0.075921175\)
\(a_{81}=+0.860079187\) \(a_{82}=+1.276037456\) \(a_{83}=-1.591214989\) \(a_{84}=+0.091465007\) \(a_{85}=-0.204390264\)
\(a_{86}=-0.209381554\) \(a_{87}=+0.080114025\) \(a_{88}=-0.699053331\) \(a_{89}=+0.127242710\) \(a_{90}=+0.204561117\)
\(a_{91}=-0.233064045\) \(a_{92}=-0.405636237\) \(a_{93}=-0.226953423\) \(a_{94}=-0.876283824\) \(a_{95}=-0.270123278\)
\(a_{96}=-0.038482460\) \(a_{97}=+0.882045743\) \(a_{98}=-0.207786882\) \(a_{99}=+1.883523261\) \(a_{100}=-0.453887926\)

Showing 100 of 1500 available coefficients

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