Properties

Level $11$
Weight $0$
Character 11.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 8.55580430793 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.471508820\) \(a_{3}=-0.596067921\) \(a_{4}=+1.165338206\) \(a_{5}=-0.215178584\)
\(a_{6}=-0.877119203\) \(a_{7}=-0.222267399\) \(a_{8}=+0.243296629\) \(a_{9}=-0.644703033\) \(a_{10}=-0.316637185\)
\(a_{11}=-0.301511345\) \(a_{12}=-0.694620722\) \(a_{13}=-0.424311680\) \(a_{14}=-0.327068438\) \(a_{15}=+0.128261051\)
\(a_{16}=-0.807325071\) \(a_{17}=-0.633796250\) \(a_{18}=-0.948686199\) \(a_{19}=-0.660966892\) \(a_{20}=-0.250755826\)
\(a_{21}=+0.132486467\) \(a_{22}=-0.443676603\) \(a_{23}=+0.224638016\) \(a_{24}=-0.145021316\) \(a_{25}=-0.953698177\)
\(a_{26}=-0.624378380\) \(a_{27}=+0.980354718\) \(a_{28}=-0.259016692\) \(a_{29}=+0.703401832\) \(a_{30}=+0.188737268\)
\(a_{31}=+0.368064131\) \(a_{32}=-1.431282591\) \(a_{33}=+0.179721240\) \(a_{34}=-0.932636771\) \(a_{35}=+0.047827184\)
\(a_{36}=-0.751297076\) \(a_{37}=+1.474895995\) \(a_{38}=-0.972618611\) \(a_{39}=+0.252918581\) \(a_{40}=-0.052352224\)
\(a_{41}=+0.526767877\) \(a_{42}=+0.194955004\) \(a_{43}=+1.687317548\) \(a_{44}=-0.351362689\) \(a_{45}=+0.138726286\)
\(a_{46}=+0.330556821\) \(a_{47}=-1.285113277\) \(a_{48}=+0.481220577\) \(a_{49}=-0.950597203\) \(a_{50}=-1.403375278\)
\(a_{51}=+0.377785613\) \(a_{52}=-0.494466612\) \(a_{53}=-1.318382796\) \(a_{54}=+1.442600614\) \(a_{55}=+0.064878784\)
\(a_{56}=-0.054076909\) \(a_{57}=+0.393981161\) \(a_{58}=+1.035062000\) \(a_{59}=+1.196927348\) \(a_{60}=+0.149467504\)
\(a_{61}=+0.015422978\) \(a_{62}=+0.541609614\) \(a_{63}=+0.143296466\) \(a_{64}=-1.298819885\) \(a_{65}=+0.091302787\)
\(a_{66}=+0.264461390\) \(a_{67}=-1.763533631\) \(a_{68}=-0.738586985\) \(a_{69}=-0.133899515\) \(a_{70}=+0.070378124\)
\(a_{71}=+0.434289620\) \(a_{72}=-0.156854075\) \(a_{73}=-0.600818035\) \(a_{74}=+2.170322464\) \(a_{75}=+0.568468890\)
\(a_{76}=-0.770249972\) \(a_{77}=+0.067016142\) \(a_{78}=+0.372171923\) \(a_{79}=-1.575274883\) \(a_{80}=+0.173719066\)
\(a_{81}=+0.060345034\) \(a_{82}=+0.775143577\) \(a_{83}=-1.678543687\) \(a_{84}=+0.154391541\) \(a_{85}=+0.136379380\)
\(a_{86}=+2.482902653\) \(a_{87}=-0.419275268\) \(a_{88}=-0.073356694\) \(a_{89}=-0.073899625\) \(a_{90}=+0.204136953\)
\(a_{91}=+0.094310654\) \(a_{92}=+0.261779262\) \(a_{93}=-0.219391221\) \(a_{94}=-1.891055522\) \(a_{95}=+0.142225920\)
\(a_{96}=+0.853141639\) \(a_{97}=+1.600082805\) \(a_{98}=-1.398812168\) \(a_{99}=+0.194385278\) \(a_{100}=-1.111380923\)

Showing 100 of 546 available coefficients

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