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: \( 3.48188847507 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.787798148\) \(a_{3}=+1.776859089\) \(a_{4}=-0.379374079\) \(a_{5}=-0.879976976\)
\(a_{6}=+1.399806299\) \(a_{7}=-0.165287454\) \(a_{8}=-1.086668344\) \(a_{9}=+2.157228223\) \(a_{10}=-0.693244231\)
\(a_{11}=+0.301511345\) \(a_{12}=-0.674094280\) \(a_{13}=+0.195137644\) \(a_{14}=-0.130213150\) \(a_{15}=-1.563595088\)
\(a_{16}=-0.476701230\) \(a_{17}=+0.875820243\) \(a_{18}=+1.699460398\) \(a_{19}=+0.587528471\) \(a_{20}=+0.333840454\)
\(a_{21}=-0.293692515\) \(a_{22}=+0.237530079\) \(a_{23}=-0.932565427\) \(a_{24}=-1.930856523\) \(a_{25}=-0.225640526\)
\(a_{26}=+0.153729075\) \(a_{27}=+2.056231486\) \(a_{28}=+0.062705776\) \(a_{29}=+0.144856697\) \(a_{30}=-1.231797314\)
\(a_{31}=-1.094984196\) \(a_{32}=+0.711123997\) \(a_{33}=+0.535743174\) \(a_{34}=+0.689969568\) \(a_{35}=+0.145449152\)
\(a_{36}=-0.818396472\) \(a_{37}=-0.304365502\) \(a_{38}=+0.462853847\) \(a_{39}=+0.346732103\) \(a_{40}=+0.956243110\)
\(a_{41}=+1.059571785\) \(a_{42}=-0.231370410\) \(a_{43}=-0.993927373\) \(a_{44}=-0.114385582\) \(a_{45}=-1.898311228\)
\(a_{46}=-0.734673326\) \(a_{47}=+1.537347134\) \(a_{48}=-0.847030856\) \(a_{49}=-0.972680098\) \(a_{50}=-0.177759185\)
\(a_{51}=+1.556209161\) \(a_{52}=-0.074030164\) \(a_{53}=-0.572039344\) \(a_{54}=+1.619895355\) \(a_{55}=-0.265323041\)
\(a_{56}=+0.179612645\) \(a_{57}=+1.043955305\) \(a_{58}=+0.114117837\) \(a_{59}=-1.195519010\) \(a_{60}=+0.593187443\)
\(a_{61}=+0.333487560\) \(a_{62}=-0.862626517\) \(a_{63}=-0.356562758\) \(a_{64}=+1.036923395\) \(a_{65}=-0.171716645\)
\(a_{66}=+0.422057474\) \(a_{67}=+0.110882887\) \(a_{68}=-0.332263480\) \(a_{69}=-1.657037338\) \(a_{70}=+0.114584544\)
\(a_{71}=+1.127876701\) \(a_{72}=-2.344191647\) \(a_{73}=+0.532484704\) \(a_{74}=-0.239778583\) \(a_{75}=-0.400931406\)
\(a_{76}=-0.222893073\) \(a_{77}=-0.049836047\) \(a_{78}=+0.273154913\) \(a_{79}=+0.087878312\) \(a_{80}=+0.419486112\)
\(a_{81}=+1.496405377\) \(a_{82}=+0.834728698\) \(a_{83}=+1.799825620\) \(a_{84}=+0.111419317\) \(a_{85}=-0.770701631\)
\(a_{86}=-0.783014179\) \(a_{87}=+0.257389950\) \(a_{88}=-0.327642838\) \(a_{89}=+0.140137916\) \(a_{90}=-1.495485995\)
\(a_{91}=-0.032253863\) \(a_{92}=+0.353791155\) \(a_{93}=-1.945632619\) \(a_{94}=+1.211119108\) \(a_{95}=-0.517011476\)
\(a_{96}=+1.263567125\) \(a_{97}=+0.154337969\) \(a_{98}=-0.766275450\) \(a_{99}=+0.650428684\) \(a_{100}=+0.085602165\)

Showing 100 of 1000 available coefficients

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