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: \( 9.27729778527 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.539606034\) \(a_{3}=+0.136746653\) \(a_{4}=-0.708825328\) \(a_{5}=+0.447213595\)
\(a_{6}=+0.073789319\) \(a_{7}=-0.553006430\) \(a_{8}=-0.922092459\) \(a_{9}=-0.981300353\) \(a_{10}=+0.241319155\)
\(a_{11}=-0.920699413\) \(a_{12}=-0.096929491\) \(a_{13}=-0.743340755\) \(a_{14}=-0.298405607\) \(a_{15}=+0.061154963\)
\(a_{16}=+0.211258673\) \(a_{17}=+0.876828389\) \(a_{18}=-0.529515592\) \(a_{19}=-0.616700215\) \(a_{20}=-0.316996323\)
\(a_{21}=-0.075621778\) \(a_{22}=-0.496814959\) \(a_{23}=+1.642864215\) \(a_{24}=-0.126093058\) \(a_{25}=+0.199951172\)
\(a_{26}=-0.401111157\) \(a_{27}=-0.270936192\) \(a_{28}=+0.391984964\) \(a_{29}=-1.149534044\) \(a_{30}=+0.032999587\)
\(a_{31}=-0.185608271\) \(a_{32}=+1.036088913\) \(a_{33}=-0.125902563\) \(a_{34}=+0.473141890\) \(a_{35}=-0.247311994\)
\(a_{36}=+0.695570544\) \(a_{37}=-0.662795876\) \(a_{38}=-0.332775158\) \(a_{39}=-0.101649360\) \(a_{40}=-0.412372284\)
\(a_{41}=+1.069584099\) \(a_{42}=-0.040805971\) \(a_{43}=-1.861684352\) \(a_{44}=+0.652615064\) \(a_{45}=-0.438850859\)
\(a_{46}=+0.886499455\) \(a_{47}=+1.408122592\) \(a_{48}=+0.028888915\) \(a_{49}=-0.694183907\) \(a_{50}=+0.107921220\)
\(a_{51}=+0.119903347\) \(a_{52}=+0.526898835\) \(a_{53}=-1.643356956\) \(a_{54}=-0.146198958\) \(a_{55}=-0.411749216\)
\(a_{56}=+0.509922696\) \(a_{57}=-0.084331214\) \(a_{58}=-0.620295310\) \(a_{59}=+0.543555245\) \(a_{60}=-0.043349284\)
\(a_{61}=+1.304912105\) \(a_{62}=-0.100157115\) \(a_{63}=+0.542665405\) \(a_{64}=+0.347821157\) \(a_{65}=-0.332432091\)
\(a_{66}=-0.067937783\) \(a_{67}=-0.899545581\) \(a_{68}=-0.621518170\) \(a_{69}=+0.224656182\) \(a_{70}=-0.133451045\)
\(a_{71}=-0.693446048\) \(a_{72}=+0.904849655\) \(a_{73}=-0.196967564\) \(a_{74}=-0.357648653\) \(a_{75}=+0.027349331\)
\(a_{76}=+0.437132731\) \(a_{77}=+0.509152690\) \(a_{78}=-0.054850613\) \(a_{79}=-0.287434718\) \(a_{80}=+0.094477756\)
\(a_{81}=+0.944250748\) \(a_{82}=+0.577154037\) \(a_{83}=-0.995706238\) \(a_{84}=+0.053602617\) \(a_{85}=+0.392129563\)
\(a_{86}=-1.004576110\) \(a_{87}=-0.157194887\) \(a_{88}=+0.848970031\) \(a_{89}=-0.870553776\) \(a_{90}=-0.236806615\)
\(a_{91}=+0.411072092\) \(a_{92}=-1.164503803\) \(a_{93}=-0.025381213\) \(a_{94}=+0.759831569\) \(a_{95}=-0.275796492\)
\(a_{96}=+0.141681753\) \(a_{97}=+0.443089974\) \(a_{98}=-0.374586283\) \(a_{99}=+0.903482559\) \(a_{100}=-0.141764755\)

Showing 100 of 5000 available coefficients

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