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: \( 7.48914848834 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.083148721\) \(a_{3}=-1.719765113\) \(a_{4}=+0.173211151\) \(a_{5}=-0.061703013\)
\(a_{6}=-1.862761382\) \(a_{7}=+1.529686818\) \(a_{8}=-0.895535284\) \(a_{9}=+1.957592046\) \(a_{10}=-0.066833540\)
\(a_{11}=+0.301511345\) \(a_{12}=-0.297882495\) \(a_{13}=+0.945277672\) \(a_{14}=+1.656878320\) \(a_{15}=+0.106114690\)
\(a_{16}=-1.143209048\) \(a_{17}=+0.352118963\) \(a_{18}=+2.120363320\) \(a_{19}=+0.764503003\) \(a_{20}=-0.010687650\)
\(a_{21}=-2.630702024\) \(a_{22}=+0.326581627\) \(a_{23}=+0.276853456\) \(a_{24}=+1.540110339\) \(a_{25}=-0.996192738\)
\(a_{26}=+1.023876301\) \(a_{27}=-1.646833393\) \(a_{28}=+0.264958814\) \(a_{29}=+1.738551065\) \(a_{30}=+0.114937990\)
\(a_{31}=-0.430054444\) \(a_{32}=-0.342730134\) \(a_{33}=-0.518528692\) \(a_{34}=+0.381397204\) \(a_{35}=-0.094386286\)
\(a_{36}=+0.339076771\) \(a_{37}=+0.004674334\) \(a_{38}=+0.828070450\) \(a_{39}=-1.625655563\) \(a_{40}=+0.055257226\)
\(a_{41}=+0.868686829\) \(a_{42}=-2.849441532\) \(a_{43}=+1.185979477\) \(a_{44}=+0.052225127\) \(a_{45}=-0.120789328\)
\(a_{46}=+0.299873466\) \(a_{47}=+0.874059724\) \(a_{48}=+1.966051038\) \(a_{49}=+1.339941761\) \(a_{50}=-1.079024890\)
\(a_{51}=-0.605561909\) \(a_{52}=+0.163732634\) \(a_{53}=+0.013636109\) \(a_{54}=-1.783765483\) \(a_{55}=-0.018604158\)
\(a_{56}=-1.369888519\) \(a_{57}=-1.314765594\) \(a_{58}=+1.883109362\) \(a_{59}=-0.195001634\) \(a_{60}=+0.018380248\)
\(a_{61}=-1.268214370\) \(a_{62}=-0.465812921\) \(a_{63}=+2.994502747\) \(a_{64}=+0.771981342\) \(a_{65}=-0.058326481\)
\(a_{66}=-0.561643689\) \(a_{67}=+1.603641780\) \(a_{68}=+0.060990931\) \(a_{69}=-0.476122914\) \(a_{70}=-0.102234385\)
\(a_{71}=-0.176902197\) \(a_{72}=-1.753092749\) \(a_{73}=-0.740762057\) \(a_{74}=+0.005062999\) \(a_{75}=+1.713217517\)
\(a_{76}=+0.132420445\) \(a_{77}=+0.461217929\) \(a_{78}=-1.760826744\) \(a_{79}=+0.229689439\) \(a_{80}=+0.070539443\)
\(a_{81}=+0.874574571\) \(a_{82}=+0.940917027\) \(a_{83}=-1.066040217\) \(a_{84}=-0.455666925\) \(a_{85}=-0.021726801\)
\(a_{86}=+1.284592153\) \(a_{87}=-2.989899470\) \(a_{88}=-0.270014048\) \(a_{89}=-0.066251200\) \(a_{90}=-0.130832806\)
\(a_{91}=+1.445978795\) \(a_{92}=+0.047954106\) \(a_{93}=+0.739592630\) \(a_{94}=+0.946736672\) \(a_{95}=-0.047172139\)
\(a_{96}=+0.589415327\) \(a_{97}=-1.792935236\) \(a_{98}=+1.451356204\) \(a_{99}=+0.590236210\) \(a_{100}=-0.172551691\)

Showing 100 of 546 available coefficients

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