Properties

Level $883$
Weight $0$
Character 883.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 883 \)
Weight: \( 0 \)
Character: 883.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.7827825088 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.438444212\) \(a_{3}=-1.348989303\) \(a_{4}=-0.807767150\) \(a_{5}=-1.440346236\)
\(a_{6}=+0.591456552\) \(a_{7}=-0.085157979\) \(a_{8}=+0.792604897\) \(a_{9}=+0.819770727\) \(a_{10}=+0.631511352\)
\(a_{11}=-0.212207886\) \(a_{12}=+1.089668334\) \(a_{13}=+1.802882652\) \(a_{14}=+0.037337025\) \(a_{15}=+1.943010932\)
\(a_{16}=+0.460254008\) \(a_{17}=+0.046800161\) \(a_{18}=-0.359423700\) \(a_{19}=+1.702471869\) \(a_{20}=+1.163463707\)
\(a_{21}=+0.114877541\) \(a_{22}=+0.093041304\) \(a_{23}=-1.389259619\) \(a_{24}=-1.069215248\) \(a_{25}=+1.074595676\)
\(a_{26}=-0.790463001\) \(a_{27}=+0.243127527\) \(a_{28}=+0.068788080\) \(a_{29}=-0.953897797\) \(a_{30}=-0.851901242\)
\(a_{31}=-0.187704442\) \(a_{32}=-0.994400713\) \(a_{33}=+0.286265745\) \(a_{34}=-0.020519007\) \(a_{35}=+0.122657728\)
\(a_{36}=-0.662183497\) \(a_{37}=+0.387836783\) \(a_{38}=-0.746438750\) \(a_{39}=-2.432069272\) \(a_{40}=-1.141625132\)
\(a_{41}=+1.028687574\) \(a_{42}=-0.050367722\) \(a_{43}=+1.249347828\) \(a_{44}=+0.171414060\) \(a_{45}=-1.180753225\)
\(a_{46}=+0.609112635\) \(a_{47}=+1.793002430\) \(a_{48}=-0.620877148\) \(a_{49}=-0.992748373\) \(a_{50}=-0.471150707\)
\(a_{51}=-0.063132444\) \(a_{52}=-1.456308549\) \(a_{53}=+0.803762266\) \(a_{54}=-0.106598091\) \(a_{55}=+0.305652351\)
\(a_{56}=-0.067496687\) \(a_{57}=-2.296615638\) \(a_{58}=+0.418231329\) \(a_{59}=-0.610529072\) \(a_{60}=-1.569499465\)
\(a_{61}=+0.979421921\) \(a_{62}=+0.082297693\) \(a_{63}=-0.069810335\) \(a_{64}=-0.024264693\) \(a_{65}=-2.596775117\)
\(a_{66}=-0.125511494\) \(a_{67}=+1.398417245\) \(a_{68}=-0.037803528\) \(a_{69}=+1.874095089\) \(a_{70}=-0.053778646\)
\(a_{71}=+0.156223668\) \(a_{72}=+0.649754321\) \(a_{73}=-0.349486164\) \(a_{74}=-0.170045134\) \(a_{75}=-1.449618121\)
\(a_{76}=-1.375200521\) \(a_{77}=+0.018071335\) \(a_{78}=+1.066326533\) \(a_{79}=-0.177556221\) \(a_{80}=-0.662924969\)
\(a_{81}=-1.147747232\) \(a_{82}=-0.451022445\) \(a_{83}=+0.969436128\) \(a_{84}=-0.092793946\) \(a_{85}=-0.067408480\)
\(a_{86}=-0.547769482\) \(a_{87}=+1.286797277\) \(a_{88}=-0.168196869\) \(a_{89}=+1.304501403\) \(a_{90}=+0.517694469\)
\(a_{91}=-0.153530259\) \(a_{92}=+1.122197019\) \(a_{93}=+0.253211193\) \(a_{94}=-0.786131334\) \(a_{95}=-2.452148569\)
\(a_{96}=+1.341435269\) \(a_{97}=-0.773772110\) \(a_{98}=+0.435265037\) \(a_{99}=-0.173961293\) \(a_{100}=-0.868022839\)

Showing 100 of 2332 available coefficients

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