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: \( 7.59926619693 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.877662237\) \(a_{3}=+1.161242886\) \(a_{4}=-0.229708998\) \(a_{5}=-1.929950951\)
\(a_{6}=+1.019179030\) \(a_{7}=-0.081101487\) \(a_{8}=-1.079269150\) \(a_{9}=+0.348485041\) \(a_{10}=-1.693845069\)
\(a_{11}=-0.301511345\) \(a_{12}=-0.266747939\) \(a_{13}=+0.695050042\) \(a_{14}=-0.071179712\) \(a_{15}=-2.241141813\)
\(a_{16}=-0.717524779\) \(a_{17}=-0.547888020\) \(a_{18}=+0.305852161\) \(a_{19}=+0.254552343\) \(a_{20}=+0.443327098\)
\(a_{21}=-0.094178525\) \(a_{22}=-0.264625121\) \(a_{23}=-1.280281893\) \(a_{24}=-1.253293623\) \(a_{25}=+2.724710673\)
\(a_{26}=+0.610019175\) \(a_{27}=-0.756567111\) \(a_{28}=+0.018629741\) \(a_{29}=-0.490184731\) \(a_{30}=-1.966965537\)
\(a_{31}=+1.199098922\) \(a_{32}=+0.449524747\) \(a_{33}=-0.350127904\) \(a_{34}=-0.480860625\) \(a_{35}=+0.156521892\)
\(a_{36}=-0.080050149\) \(a_{37}=+0.268497485\) \(a_{38}=+0.223410978\) \(a_{39}=+0.807121917\) \(a_{40}=+2.082936522\)
\(a_{41}=-1.858593385\) \(a_{42}=-0.082656935\) \(a_{43}=+0.206345875\) \(a_{44}=+0.069259869\) \(a_{45}=-0.672559037\)
\(a_{46}=-1.123655071\) \(a_{47}=+0.097763463\) \(a_{48}=-0.833220545\) \(a_{49}=-0.993422549\) \(a_{50}=+2.391375664\)
\(a_{51}=-0.636231065\) \(a_{52}=-0.159659248\) \(a_{53}=+1.223191975\) \(a_{54}=-0.664010383\) \(a_{55}=+0.581902106\)
\(a_{56}=+0.087530333\) \(a_{57}=+0.295597097\) \(a_{58}=-0.430216627\) \(a_{59}=+0.277351271\) \(a_{60}=+0.514810439\)
\(a_{61}=-0.854694126\) \(a_{62}=+1.052403842\) \(a_{63}=-0.028262655\) \(a_{64}=+1.112055674\) \(a_{65}=-1.341412490\)
\(a_{66}=-0.307294040\) \(a_{67}=-0.737510358\) \(a_{68}=+0.125854808\) \(a_{69}=-1.486718241\) \(a_{70}=+0.137373354\)
\(a_{71}=-0.160429715\) \(a_{72}=-0.376109154\) \(a_{73}=-1.089710779\) \(a_{74}=+0.235650104\) \(a_{75}=+3.164050886\)
\(a_{76}=-0.058472963\) \(a_{77}=+0.024453018\) \(a_{78}=+0.708380427\) \(a_{79}=-0.098737288\) \(a_{80}=+1.384787629\)
\(a_{81}=-1.227043217\) \(a_{82}=-1.631217228\) \(a_{83}=+0.191331531\) \(a_{84}=+0.021633654\) \(a_{85}=+1.057397004\)
\(a_{86}=+0.181101982\) \(a_{87}=-0.569223532\) \(a_{88}=+0.325411893\) \(a_{89}=-0.734655311\) \(a_{90}=-0.590279669\)
\(a_{91}=-0.056369592\) \(a_{92}=+0.294092270\) \(a_{93}=+1.392445093\) \(a_{94}=+0.085803300\) \(a_{95}=-0.491273536\)
\(a_{96}=+0.522007415\) \(a_{97}=-0.688259407\) \(a_{98}=-0.871889457\) \(a_{99}=-0.105072193\) \(a_{100}=-0.625890557\)

Showing 100 of 546 available coefficients

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