Properties

Level $5$
Weight $0$
Character 5.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 9.83341273669 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.796914485\) \(a_{3}=+0.987761386\) \(a_{4}=+2.228901666\) \(a_{5}=+0.447213596\)
\(a_{6}=+1.774922742\) \(a_{7}=-1.334394165\) \(a_{8}=+2.208231203\) \(a_{9}=-0.024327444\) \(a_{10}=+0.803604588\)
\(a_{11}=-0.055155084\) \(a_{12}=+2.201622999\) \(a_{13}=+0.737845520\) \(a_{14}=-2.397792204\) \(a_{15}=+0.441740321\)
\(a_{16}=+1.739100970\) \(a_{17}=+0.268166389\) \(a_{18}=-0.043714336\) \(a_{19}=-0.754859215\) \(a_{20}=+0.996795128\)
\(a_{21}=-1.318063031\) \(a_{22}=-0.099108970\) \(a_{23}=-0.949098165\) \(a_{24}=+2.181205515\) \(a_{25}=+0.200000000\)
\(a_{26}=+1.325845302\) \(a_{27}=-1.011791096\) \(a_{28}=-2.974233378\) \(a_{29}=+1.298928653\) \(a_{30}=+0.793769581\)
\(a_{31}=-0.918039881\) \(a_{32}=+0.916784519\) \(a_{33}=-0.054480062\) \(a_{34}=+0.481872070\) \(a_{35}=-0.596759212\)
\(a_{36}=-0.054223480\) \(a_{37}=+0.695344225\) \(a_{38}=-1.356417458\) \(a_{39}=+0.728815313\) \(a_{40}=+0.987551016\)
\(a_{41}=+0.081710843\) \(a_{42}=-2.368446551\) \(a_{43}=+1.511736968\) \(a_{44}=-0.122935259\) \(a_{45}=-0.010879564\)
\(a_{46}=-1.705448240\) \(a_{47}=-0.262940782\) \(a_{48}=+1.717816785\) \(a_{49}=+0.780607788\) \(a_{50}=+0.359382897\)
\(a_{51}=+0.264884405\) \(a_{52}=+1.644585108\) \(a_{53}=-1.040642449\) \(a_{54}=-1.818102076\) \(a_{55}=-0.024666103\)
\(a_{56}=-2.946650834\) \(a_{57}=-0.745620785\) \(a_{58}=+2.334063712\) \(a_{59}=+1.103901419\) \(a_{60}=+0.984595737\)
\(a_{61}=+1.278247263\) \(a_{62}=-1.649639160\) \(a_{63}=+0.032462399\) \(a_{64}=-0.091717587\) \(a_{65}=+0.329974548\)
\(a_{66}=-0.097896013\) \(a_{67}=+0.129087705\) \(a_{68}=+0.597716512\) \(a_{69}=-0.937482519\) \(a_{70}=-1.072325273\)
\(a_{71}=-0.292475596\) \(a_{72}=-0.053720621\) \(a_{73}=+0.039529645\) \(a_{74}=+1.249474111\) \(a_{75}=+0.197552277\)
\(a_{76}=-1.682506963\) \(a_{77}=+0.073598622\) \(a_{78}=+1.309618793\) \(a_{79}=+1.053672363\) \(a_{80}=+0.777749598\)
\(a_{81}=-0.975080732\) \(a_{82}=+0.146827397\) \(a_{83}=-0.807712440\) \(a_{84}=-2.937832884\) \(a_{85}=+0.119927655\)
\(a_{86}=+2.716462055\) \(a_{87}=+1.283031567\) \(a_{88}=-0.121795178\) \(a_{89}=+0.971555964\) \(a_{90}=-0.019549645\)
\(a_{91}=-0.984576756\) \(a_{92}=-2.115446481\) \(a_{93}=-0.906804346\) \(a_{94}=-0.472482099\) \(a_{95}=-0.337583304\)
\(a_{96}=+0.905564348\) \(a_{97}=+0.272342171\) \(a_{98}=+1.402685442\) \(a_{99}=+0.001341782\) \(a_{100}=+0.445780333\)

Showing 100 of 1228 available coefficients

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