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: \( 6.53884437383 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.004378820\) \(a_{3}=-1.820940755\) \(a_{4}=-0.999980826\) \(a_{5}=-0.296196962\)
\(a_{6}=+0.007973571\) \(a_{7}=-0.522812182\) \(a_{8}=+0.008757555\) \(a_{9}=+2.315825233\) \(a_{10}=+0.001296993\)
\(a_{11}=-0.301511345\) \(a_{12}=+1.820905840\) \(a_{13}=-1.052969300\) \(a_{14}=+0.002289300\) \(a_{15}=+0.539357119\)
\(a_{16}=+0.999942478\) \(a_{17}=-1.376301517\) \(a_{18}=-0.010140581\) \(a_{19}=+0.438296379\) \(a_{20}=+0.296191282\)
\(a_{21}=+0.952010009\) \(a_{22}=+0.001320264\) \(a_{23}=+0.456586456\) \(a_{24}=-0.015946989\) \(a_{25}=-0.912267360\)
\(a_{26}=+0.004610763\) \(a_{27}=-2.396039792\) \(a_{28}=+0.522802157\) \(a_{29}=+0.524869496\) \(a_{30}=-0.002361748\)
\(a_{31}=+1.742326626\) \(a_{32}=-0.013136123\) \(a_{33}=+0.549034295\) \(a_{34}=+0.006026576\) \(a_{35}=+0.154855380\)
\(a_{36}=-2.315780829\) \(a_{37}=+0.373002082\) \(a_{38}=-0.001919221\) \(a_{39}=+1.917394712\) \(a_{40}=-0.002593961\)
\(a_{41}=-1.594693374\) \(a_{42}=-0.004168680\) \(a_{43}=+0.723226277\) \(a_{44}=+0.301505563\) \(a_{45}=-0.685940398\)
\(a_{46}=-0.001999310\) \(a_{47}=-0.375653218\) \(a_{48}=-1.820836011\) \(a_{49}=-0.726667422\) \(a_{50}=+0.003994654\)
\(a_{51}=+2.506163523\) \(a_{52}=+1.052949110\) \(a_{53}=+0.946098283\) \(a_{54}=+0.010491826\) \(a_{55}=+0.089306744\)
\(a_{56}=-0.004578557\) \(a_{57}=-0.798111739\) \(a_{58}=-0.002298309\) \(a_{59}=-0.210336095\) \(a_{60}=-0.539346777\)
\(a_{61}=+0.600019283\) \(a_{62}=-0.007629334\) \(a_{63}=-1.210741643\) \(a_{64}=-0.999884957\) \(a_{65}=+0.311886307\)
\(a_{66}=-0.002404122\) \(a_{67}=-0.064403000\) \(a_{68}=+1.376275127\) \(a_{69}=-0.831416886\) \(a_{70}=-0.000678084\)
\(a_{71}=+0.892259545\) \(a_{72}=+0.020280967\) \(a_{73}=-1.417969313\) \(a_{74}=-0.001633309\) \(a_{75}=+1.661184815\)
\(a_{76}=-0.438287975\) \(a_{77}=+0.157633804\) \(a_{78}=-0.008395926\) \(a_{79}=-0.679509591\) \(a_{80}=-0.296179924\)
\(a_{81}=+2.047221275\) \(a_{82}=+0.006982875\) \(a_{83}=+0.393622484\) \(a_{84}=-0.951991755\) \(a_{85}=+0.407656328\)
\(a_{86}=-0.003166877\) \(a_{87}=-0.955756256\) \(a_{88}=-0.002640502\) \(a_{89}=+1.186076888\) \(a_{90}=+0.003003609\)
\(a_{91}=+0.550505177\) \(a_{92}=-0.456577701\) \(a_{93}=-3.172673561\) \(a_{94}=+0.001644918\) \(a_{95}=-0.129822056\)
\(a_{96}=+0.023920102\) \(a_{97}=-0.020043351\) \(a_{98}=+0.003181946\) \(a_{99}=-0.698247580\) \(a_{100}=+0.912249868\)

Showing 100 of 546 available coefficients

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