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: \( 8.57197307003 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.896541855\) \(a_{3}=+1.537357014\) \(a_{4}=-0.196212702\) \(a_{5}=-0.269770866\)
\(a_{6}=-1.378304909\) \(a_{7}=-0.582265091\) \(a_{8}=+1.072454755\) \(a_{9}=+1.363466588\) \(a_{10}=+0.241860872\)
\(a_{11}=-0.301511345\) \(a_{12}=-0.301648974\) \(a_{13}=-0.365337483\) \(a_{14}=+0.522025025\) \(a_{15}=-0.414734133\)
\(a_{16}=-0.765287873\) \(a_{17}=+0.510470057\) \(a_{18}=-1.222404865\) \(a_{19}=-0.941423874\) \(a_{20}=+0.052932471\)
\(a_{21}=-0.895149322\) \(a_{22}=+0.270317540\) \(a_{23}=-1.636556712\) \(a_{24}=+1.648745840\) \(a_{25}=-0.927223680\)
\(a_{26}=+0.327540345\) \(a_{27}=+0.558777909\) \(a_{28}=+0.114247807\) \(a_{29}=+0.224230586\) \(a_{30}=+0.371826509\)
\(a_{31}=-1.897795552\) \(a_{32}=-0.386342145\) \(a_{33}=-0.463530580\) \(a_{34}=-0.457657772\) \(a_{35}=+0.157078158\)
\(a_{36}=-0.267529463\) \(a_{37}=+1.905635233\) \(a_{38}=+0.844025907\) \(a_{39}=-0.561654142\) \(a_{40}=-0.289317048\)
\(a_{41}=+0.076273452\) \(a_{42}=+0.802538834\) \(a_{43}=-1.212876934\) \(a_{44}=+0.059160356\) \(a_{45}=-0.367823562\)
\(a_{46}=+1.467241591\) \(a_{47}=-0.924078292\) \(a_{48}=-1.176520680\) \(a_{49}=-0.660967363\) \(a_{50}=+0.831294838\)
\(a_{51}=+0.784774722\) \(a_{52}=+0.071683855\) \(a_{53}=+1.003697616\) \(a_{54}=-0.500967783\) \(a_{55}=+0.081338976\)
\(a_{56}=-0.624452966\) \(a_{57}=-1.447304596\) \(a_{58}=-0.201032106\) \(a_{59}=-0.609662145\) \(a_{60}=+0.081376105\)
\(a_{61}=+1.536508025\) \(a_{62}=+1.701453145\) \(a_{63}=-0.793898998\) \(a_{64}=+1.111659777\) \(a_{65}=+0.098557409\)
\(a_{66}=+0.415574566\) \(a_{67}=+0.477388665\) \(a_{68}=-0.100160709\) \(a_{69}=-2.515971941\) \(a_{70}=-0.140827143\)
\(a_{71}=-0.296153578\) \(a_{72}=+1.462256226\) \(a_{73}=-0.410677069\) \(a_{74}=-1.708481747\) \(a_{75}=-1.425473828\)
\(a_{76}=+0.184719322\) \(a_{77}=+0.175559531\) \(a_{78}=+0.503546446\) \(a_{79}=+1.637075808\) \(a_{80}=+0.206452372\)
\(a_{81}=-0.504425451\) \(a_{82}=-0.068382342\) \(a_{83}=+0.620187683\) \(a_{84}=+0.175639667\) \(a_{85}=-0.137709949\)
\(a_{86}=+1.087394936\) \(a_{87}=+0.344722464\) \(a_{88}=-0.323357275\) \(a_{89}=-0.112188572\) \(a_{90}=+0.329769219\)
\(a_{91}=+0.212723263\) \(a_{92}=+0.321113215\) \(a_{93}=-2.917589303\) \(a_{94}=+0.828474866\) \(a_{95}=+0.253968734\)
\(a_{96}=-0.593945807\) \(a_{97}=+0.101871044\) \(a_{98}=+0.592584906\) \(a_{99}=-0.411100644\) \(a_{100}=+0.181933064\)

Showing 100 of 546 available coefficients

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