Properties

Level $5$
Weight $0$
Character 5.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 12.1207735459 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.862505540\) \(a_{3}=+1.244303110\) \(a_{4}=+2.468926887\) \(a_{5}=-0.447213596\)
\(a_{6}=+2.317521436\) \(a_{7}=+0.374296561\) \(a_{8}=+2.735884466\) \(a_{9}=+0.548290229\) \(a_{10}=-0.832937799\)
\(a_{11}=-0.664478588\) \(a_{12}=+3.072093404\) \(a_{13}=-1.122219530\) \(a_{14}=+0.697129419\) \(a_{15}=-0.556469268\)
\(a_{16}=+2.626673088\) \(a_{17}=-0.558282462\) \(a_{18}=+1.021193589\) \(a_{19}=+1.538690249\) \(a_{20}=-1.104137670\)
\(a_{21}=+0.465738375\) \(a_{22}=-1.237595052\) \(a_{23}=-0.117742472\) \(a_{24}=+3.404269549\) \(a_{25}=+0.200000000\)
\(a_{26}=-2.090140091\) \(a_{27}=-0.562063873\) \(a_{28}=+0.924110844\) \(a_{29}=+0.573358726\) \(a_{30}=-1.036427094\)
\(a_{31}=-0.398139332\) \(a_{32}=+2.156308713\) \(a_{33}=-0.826812774\) \(a_{34}=-1.039804178\) \(a_{35}=-0.167390511\)
\(a_{36}=+1.353688489\) \(a_{37}=-1.291281834\) \(a_{38}=+2.865819115\) \(a_{39}=-1.396381251\) \(a_{40}=-1.223524729\)
\(a_{41}=+0.069939544\) \(a_{42}=+0.867440304\) \(a_{43}=-0.124915910\) \(a_{44}=-1.640549053\) \(a_{45}=-0.245202845\)
\(a_{46}=-0.219296007\) \(a_{47}=+1.425544003\) \(a_{48}=+3.268377494\) \(a_{49}=-0.859902084\) \(a_{50}=+0.372501109\)
\(a_{51}=-0.694672608\) \(a_{52}=-2.770677972\) \(a_{53}=-0.410106042\) \(a_{54}=-1.046847064\) \(a_{55}=+0.297163869\)
\(a_{56}=+1.024032155\) \(a_{57}=+1.914597038\) \(a_{58}=+1.067883721\) \(a_{59}=-0.480361240\) \(a_{60}=-1.373881904\)
\(a_{61}=+0.412492986\) \(a_{62}=-0.741536712\) \(a_{63}=+0.205223147\) \(a_{64}=+1.389463836\) \(a_{65}=+0.501871831\)
\(a_{66}=-1.539943372\) \(a_{67}=+0.065956744\) \(a_{68}=-1.378358580\) \(a_{69}=-0.146507324\) \(a_{70}=-0.311765754\)
\(a_{71}=+1.308969931\) \(a_{72}=+1.500058721\) \(a_{73}=-0.521811234\) \(a_{74}=-2.405019569\) \(a_{75}=+0.248860621\)
\(a_{76}=+3.798913730\) \(a_{77}=-0.248712050\) \(a_{78}=-2.600767817\) \(a_{79}=+1.405117814\) \(a_{80}=-1.174683918\)
\(a_{81}=-1.247668052\) \(a_{82}=+0.130262786\) \(a_{83}=+1.682666706\) \(a_{84}=+1.149873992\) \(a_{85}=+0.249671514\)
\(a_{86}=-0.232656579\) \(a_{87}=+0.713432041\) \(a_{88}=-1.817936633\) \(a_{89}=-1.532267645\) \(a_{90}=-0.456691631\)
\(a_{91}=-0.420042923\) \(a_{92}=-0.290697541\) \(a_{93}=-0.495406036\) \(a_{94}=+2.655083648\) \(a_{95}=-0.688123248\)
\(a_{96}=+2.683101631\) \(a_{97}=+0.787942138\) \(a_{98}=-1.601572540\) \(a_{99}=-0.364326876\) \(a_{100}=+0.493785376\)

Showing 100 of 5000 available coefficients

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