Properties

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

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 8.43825975049 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.381859787\) \(a_{3}=-1.600469210\) \(a_{4}=+0.909536470\) \(a_{5}=-1.739437220\)
\(a_{6}=+2.211624042\) \(a_{7}=+0.914125327\) \(a_{8}=+0.125007914\) \(a_{9}=+1.561501693\) \(a_{10}=+2.403658346\)
\(a_{11}=-0.301511345\) \(a_{12}=-1.455685116\) \(a_{13}=-0.255713883\) \(a_{14}=-1.263193030\) \(a_{15}=+2.783915714\)
\(a_{16}=-1.082279879\) \(a_{17}=-0.237326746\) \(a_{18}=-2.157776397\) \(a_{19}=+1.115543689\) \(a_{20}=-1.582081590\)
\(a_{21}=-1.463029441\) \(a_{22}=+0.416646402\) \(a_{23}=+0.003840270\) \(a_{24}=-0.200071317\) \(a_{25}=+2.025641843\)
\(a_{26}=+0.353360732\) \(a_{27}=-0.898666171\) \(a_{28}=+0.831430324\) \(a_{29}=-0.760581451\) \(a_{30}=-3.846981175\)
\(a_{31}=+0.753714578\) \(a_{32}=+1.370551130\) \(a_{33}=+0.482559624\) \(a_{34}=+0.327952286\) \(a_{35}=-1.590063618\)
\(a_{36}=+1.420242738\) \(a_{37}=+0.780946975\) \(a_{38}=-1.541524964\) \(a_{39}=+0.409262197\) \(a_{40}=-0.217443418\)
\(a_{41}=-0.105690696\) \(a_{42}=+2.021701551\) \(a_{43}=-0.223876464\) \(a_{44}=-0.274235564\) \(a_{45}=-2.716134164\)
\(a_{46}=-0.005306715\) \(a_{47}=+1.815652914\) \(a_{48}=+1.732155624\) \(a_{49}=-0.164374886\) \(a_{50}=-2.799153005\)
\(a_{51}=+0.379834149\) \(a_{52}=-0.232581103\) \(a_{53}=-0.839534556\) \(a_{54}=+1.241830644\) \(a_{55}=+0.524460055\)
\(a_{56}=+0.114272900\) \(a_{57}=-1.785393327\) \(a_{58}=+1.051016922\) \(a_{59}=-0.053868934\) \(a_{60}=+2.532072872\)
\(a_{61}=-1.203671285\) \(a_{62}=-1.041527866\) \(a_{63}=+1.427408246\) \(a_{64}=-0.811629612\) \(a_{65}=+0.444798247\)
\(a_{66}=-0.666829739\) \(a_{67}=+0.056144612\) \(a_{68}=-0.215857331\) \(a_{69}=-0.006146234\) \(a_{70}=+2.197244973\)
\(a_{71}=-1.614870084\) \(a_{72}=+0.195200069\) \(a_{73}=+1.131806687\) \(a_{74}=-1.079159221\) \(a_{75}=-3.241977400\)
\(a_{76}=+1.014627669\) \(a_{77}=-0.275619157\) \(a_{78}=-0.565542972\) \(a_{79}=+0.000954698\) \(a_{80}=+1.882557905\)
\(a_{81}=-0.123214156\) \(a_{82}=+0.146049722\) \(a_{83}=+0.221134492\) \(a_{84}=-1.330678634\) \(a_{85}=+0.412814975\)
\(a_{86}=+0.309365883\) \(a_{87}=+1.217287195\) \(a_{88}=-0.037691304\) \(a_{89}=+1.369870063\) \(a_{90}=+3.753316577\)
\(a_{91}=-0.233754537\) \(a_{92}=+0.003492866\) \(a_{93}=-1.206296975\) \(a_{94}=-2.508977748\) \(a_{95}=-1.940418213\)
\(a_{96}=-2.193524884\) \(a_{97}=-0.799126852\) \(a_{98}=+0.227143045\) \(a_{99}=-0.470810475\) \(a_{100}=+1.842395132\)

Showing 100 of 546 available coefficients

Rows: Cols: