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: \( 2.03309099386 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.073765411\) \(a_{3}=+0.096511110\) \(a_{4}=-0.994558664\) \(a_{5}=+0.763583070\)
\(a_{6}=+0.007119182\) \(a_{7}=+1.099903749\) \(a_{8}=-0.147129441\) \(a_{9}=-0.990685606\) \(a_{10}=+0.056326019\)
\(a_{11}=+0.301511345\) \(a_{12}=-0.095985961\) \(a_{13}=-1.205858648\) \(a_{14}=+0.081134853\) \(a_{15}=+0.073694249\)
\(a_{16}=+0.983705599\) \(a_{17}=+1.067917381\) \(a_{18}=-0.073078331\) \(a_{19}=-0.003022371\) \(a_{20}=-0.759428157\)
\(a_{21}=+0.106152932\) \(a_{22}=+0.022241104\) \(a_{23}=-0.334421738\) \(a_{24}=-0.014199622\) \(a_{25}=-0.416940896\)
\(a_{26}=-0.088950659\) \(a_{27}=-0.192123294\) \(a_{28}=-1.093918788\) \(a_{29}=+1.144528961\) \(a_{30}=+0.005436069\)
\(a_{31}=+0.536375110\) \(a_{32}=+0.219692843\) \(a_{33}=+0.029099272\) \(a_{34}=+0.078775414\) \(a_{35}=+0.839867881\)
\(a_{36}=+0.985294952\) \(a_{37}=-1.493544755\) \(a_{38}=-0.000222946\) \(a_{39}=-0.116378751\) \(a_{40}=-0.112345552\)
\(a_{41}=-0.538735598\) \(a_{42}=+0.007830410\) \(a_{43}=+0.576018579\) \(a_{44}=-0.299870713\) \(a_{45}=-0.756470778\)
\(a_{46}=-0.024668765\) \(a_{47}=-0.778205390\) \(a_{48}=+0.094938510\) \(a_{49}=+0.209788283\) \(a_{50}=-0.030755818\)
\(a_{51}=+0.103066224\) \(a_{52}=+1.199297149\) \(a_{53}=+0.304508920\) \(a_{54}=-0.014172065\) \(a_{55}=+0.230228970\)
\(a_{56}=-0.161828218\) \(a_{57}=-0.000291711\) \(a_{58}=+0.084426649\) \(a_{59}=+0.906467238\) \(a_{60}=-0.073293243\)
\(a_{61}=+0.452370836\) \(a_{62}=+0.039565901\) \(a_{63}=-1.089658826\) \(a_{64}=-0.967499817\) \(a_{65}=-0.920773279\)
\(a_{66}=+0.002146494\) \(a_{67}=+1.522627726\) \(a_{68}=-1.062106439\) \(a_{69}=-0.032275494\) \(a_{70}=+0.061953153\)
\(a_{71}=+0.160285634\) \(a_{72}=+0.145759004\) \(a_{73}=-0.769311763\) \(a_{74}=-0.110171937\) \(a_{75}=-0.040239451\)
\(a_{76}=+0.003005926\) \(a_{77}=+0.331633487\) \(a_{78}=-0.008584684\) \(a_{79}=-0.402909582\) \(a_{80}=+0.751140936\)
\(a_{81}=+0.972143566\) \(a_{82}=-0.039740096\) \(a_{83}=+0.807922986\) \(a_{84}=-0.105575293\) \(a_{85}=+0.815443647\)
\(a_{86}=+0.042490311\) \(a_{87}=+0.110459745\) \(a_{88}=-0.044361202\) \(a_{89}=-1.044101726\) \(a_{90}=-0.055801457\)
\(a_{91}=-1.326328387\) \(a_{92}=+0.332601978\) \(a_{93}=+0.051766164\) \(a_{94}=-0.057404630\) \(a_{95}=-0.002307799\)
\(a_{96}=+0.021202832\) \(a_{97}=-0.382833490\) \(a_{98}=+0.015475135\) \(a_{99}=-0.298702890\) \(a_{100}=+0.414672079\)

Showing 100 of 1000 available coefficients

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