Properties

Level $11$
Weight $0$
Character 11.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 8.51378467859 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.870948213\) \(a_{3}=-0.790065185\) \(a_{4}=+2.500447215\) \(a_{5}=-0.138948652\)
\(a_{6}=+1.478171046\) \(a_{7}=-1.219525366\) \(a_{8}=-2.807259035\) \(a_{9}=-0.375797004\) \(a_{10}=+0.259965733\)
\(a_{11}=-0.301511345\) \(a_{12}=-1.975516291\) \(a_{13}=-1.257516440\) \(a_{14}=+2.281668804\) \(a_{15}=+0.109778493\)
\(a_{16}=+2.751789060\) \(a_{17}=-0.709681718\) \(a_{18}=+0.703096732\) \(a_{19}=-1.305387477\) \(a_{20}=-0.347433770\)
\(a_{21}=+0.963504534\) \(a_{22}=+0.564112111\) \(a_{23}=-1.048797656\) \(a_{24}=+2.217917629\) \(a_{25}=-0.980693272\)
\(a_{26}=+2.352748135\) \(a_{27}=+1.086969314\) \(a_{28}=-3.049358805\) \(a_{29}=+1.039994434\) \(a_{30}=-0.205389875\)
\(a_{31}=+0.319382336\) \(a_{32}=-2.341195789\) \(a_{33}=+0.238213616\) \(a_{34}=+1.327777742\) \(a_{35}=+0.169451406\)
\(a_{36}=-0.939660571\) \(a_{37}=-0.417753895\) \(a_{38}=+2.442312367\) \(a_{39}=+0.993519958\) \(a_{40}=+0.390064859\)
\(a_{41}=-0.289696761\) \(a_{42}=-1.802667085\) \(a_{43}=-1.341866258\) \(a_{44}=-0.753913202\) \(a_{45}=+0.052216487\)
\(a_{46}=+1.962246101\) \(a_{47}=+1.717624911\) \(a_{48}=-2.174092733\) \(a_{49}=+0.487242118\) \(a_{50}=+1.834826325\)
\(a_{51}=+0.560694818\) \(a_{52}=-3.144353479\) \(a_{53}=-0.236379851\) \(a_{54}=-2.033663295\) \(a_{55}=+0.041894595\)
\(a_{56}=+3.423523602\) \(a_{57}=+1.031341198\) \(a_{58}=-1.945775728\) \(a_{59}=-0.436997026\) \(a_{60}=+0.274495326\)
\(a_{61}=+0.677275841\) \(a_{62}=-0.597547810\) \(a_{63}=+0.458293978\) \(a_{64}=+1.628467017\) \(a_{65}=+0.174730214\)
\(a_{66}=-0.445685339\) \(a_{67}=-0.377271718\) \(a_{68}=-1.774521676\) \(a_{69}=+0.828618514\) \(a_{70}=-0.317034805\)
\(a_{71}=+0.748068727\) \(a_{72}=+1.054959534\) \(a_{73}=-1.186341201\) \(a_{74}=+0.781595903\) \(a_{75}=+0.774811611\)
\(a_{76}=-3.264052481\) \(a_{77}=+0.367700733\) \(a_{78}=-1.858824391\) \(a_{79}=+0.410810152\) \(a_{80}=-0.382357381\)
\(a_{81}=-0.482979608\) \(a_{82}=+0.542007638\) \(a_{83}=+0.557443833\) \(a_{84}=+2.409192228\) \(a_{85}=+0.098609318\)
\(a_{86}=+2.510562276\) \(a_{87}=-0.821663395\) \(a_{88}=+0.846420446\) \(a_{89}=+0.460900778\) \(a_{90}=-0.097694343\)
\(a_{91}=+1.533573196\) \(a_{92}=-2.622463179\) \(a_{93}=-0.252332864\) \(a_{94}=-3.213587257\) \(a_{95}=+0.181381831\)
\(a_{96}=+1.849697284\) \(a_{97}=-0.639180762\) \(a_{98}=-0.911604770\) \(a_{99}=+0.113307060\) \(a_{100}=-2.452171761\)

Showing 100 of 546 available coefficients

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