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: \( 4.96681056895 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.495761859\) \(a_{3}=-1.472141134\) \(a_{4}=+1.237303540\) \(a_{5}=-0.910659453\)
\(a_{6}=+2.201972559\) \(a_{7}=-1.392844328\) \(a_{8}=-0.354949584\) \(a_{9}=+1.167199517\) \(a_{10}=+1.362129677\)
\(a_{11}=+0.301511345\) \(a_{12}=-1.821485436\) \(a_{13}=-1.181080928\) \(a_{14}=+2.083363422\) \(a_{15}=+1.340619240\)
\(a_{16}=-0.706383490\) \(a_{17}=-0.441670524\) \(a_{18}=-1.745852520\) \(a_{19}=+0.570153293\) \(a_{20}=-1.126762165\)
\(a_{21}=+2.050463428\) \(a_{22}=-0.450989169\) \(a_{23}=+0.594564986\) \(a_{24}=+0.522535883\) \(a_{25}=-0.170699360\)
\(a_{26}=+1.766615806\) \(a_{27}=-0.246141287\) \(a_{28}=-1.723371218\) \(a_{29}=-0.161197408\) \(a_{30}=-2.005247128\)
\(a_{31}=-1.047204806\) \(a_{32}=+1.411531064\) \(a_{33}=-0.443867259\) \(a_{34}=+0.660633941\) \(a_{35}=+1.268406842\)
\(a_{36}=+1.444180094\) \(a_{37}=-1.247553239\) \(a_{38}=-0.852813549\) \(a_{39}=+1.738717817\) \(a_{40}=+0.323238194\)
\(a_{41}=+1.272106858\) \(a_{42}=-3.067004990\) \(a_{43}=+0.800757893\) \(a_{44}=+0.373061054\) \(a_{45}=-1.062921274\)
\(a_{46}=-0.889327629\) \(a_{47}=-0.870724209\) \(a_{48}=+1.039896192\) \(a_{49}=+0.940015323\) \(a_{50}=+0.255325592\)
\(a_{51}=+0.650201343\) \(a_{52}=-1.461355614\) \(a_{53}=-0.289980570\) \(a_{54}=+0.368168752\) \(a_{55}=-0.274574159\)
\(a_{56}=+0.494389507\) \(a_{57}=-0.839346111\) \(a_{58}=+0.241112943\) \(a_{59}=+0.077220730\) \(a_{60}=+1.658752916\)
\(a_{61}=-0.380456016\) \(a_{62}=+1.566369037\) \(a_{63}=-1.625727191\) \(a_{64}=-1.404930834\) \(a_{65}=+1.075562436\)
\(a_{66}=+0.663919646\) \(a_{67}=+1.326880617\) \(a_{68}=-0.546480503\) \(a_{69}=-0.875283572\) \(a_{70}=-1.897234595\)
\(a_{71}=+0.755322148\) \(a_{72}=-0.414296984\) \(a_{73}=-0.384959985\) \(a_{74}=+1.866042554\) \(a_{75}=+0.251293551\)
\(a_{76}=+0.705452687\) \(a_{77}=-0.419958369\) \(a_{78}=-2.600707798\) \(a_{79}=+0.143213673\) \(a_{80}=+0.643274806\)
\(a_{81}=-0.804844802\) \(a_{82}=-1.902768926\) \(a_{83}=+0.545134644\) \(a_{84}=+2.537045669\) \(a_{85}=+0.402211444\)
\(a_{86}=-1.197743104\) \(a_{87}=+0.237305323\) \(a_{88}=-0.107021339\) \(a_{89}=-0.827393675\) \(a_{90}=+1.589877087\)
\(a_{91}=+1.645061897\) \(a_{92}=+0.735657333\) \(a_{93}=+1.541633294\) \(a_{94}=+1.302396032\) \(a_{95}=-0.519215485\)
\(a_{96}=-2.077972946\) \(a_{97}=-0.256318657\) \(a_{98}=-1.406039065\) \(a_{99}=+0.351923895\) \(a_{100}=-0.211206922\)

Showing 100 of 1000 available coefficients

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