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: \( 6.58162198464 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.493471987\) \(a_{3}=-0.767624174\) \(a_{4}=-0.756485398\) \(a_{5}=-1.675921668\)
\(a_{6}=+0.378801027\) \(a_{7}=+0.326722908\) \(a_{8}=+0.866776339\) \(a_{9}=-0.410753127\) \(a_{10}=+0.827020396\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.580696479\) \(a_{13}=-0.114005625\) \(a_{14}=-0.161228603\) \(a_{15}=+1.286477987\)
\(a_{16}=+0.328755556\) \(a_{17}=+0.262837642\) \(a_{18}=+0.202695162\) \(a_{19}=-1.867572136\) \(a_{20}=+1.267810271\)
\(a_{21}=-0.250800402\) \(a_{22}=-0.148787402\) \(a_{23}=-0.847789704\) \(a_{24}=-0.665358472\) \(a_{25}=+1.808713439\)
\(a_{26}=+0.056258582\) \(a_{27}=+1.082928204\) \(a_{28}=-0.247161109\) \(a_{29}=+1.075454928\) \(a_{30}=-0.634840848\)
\(a_{31}=-0.884291013\) \(a_{32}=-1.029007996\) \(a_{33}=-0.231447397\) \(a_{34}=-0.129703015\) \(a_{35}=-0.547562001\)
\(a_{36}=+0.310728744\) \(a_{37}=+1.142970544\) \(a_{38}=+0.921594531\) \(a_{39}=+0.087513473\) \(a_{40}=-1.452649237\)
\(a_{41}=-0.421698938\) \(a_{42}=+0.123762949\) \(a_{43}=+0.814346319\) \(a_{44}=-0.228088962\) \(a_{45}=+0.688389969\)
\(a_{46}=+0.418360470\) \(a_{47}=+1.159173221\) \(a_{48}=-0.252360712\) \(a_{49}=-0.893252141\) \(a_{50}=-0.892549414\)
\(a_{51}=-0.201760528\) \(a_{52}=+0.086243591\) \(a_{53}=-0.392063026\) \(a_{54}=-0.534394733\) \(a_{55}=-0.505309396\)
\(a_{56}=+0.283195686\) \(a_{57}=+1.433593519\) \(a_{58}=-0.530706881\) \(a_{59}=+0.355858022\) \(a_{60}=-0.973201812\)
\(a_{61}=+0.451347129\) \(a_{62}=+0.436372841\) \(a_{63}=-0.134202456\) \(a_{64}=+0.179031068\) \(a_{65}=+0.191064498\)
\(a_{66}=+0.114212805\) \(a_{67}=-0.098345983\) \(a_{68}=-0.198832836\) \(a_{69}=+0.650783878\) \(a_{70}=+0.270206507\)
\(a_{71}=+1.420206033\) \(a_{72}=-0.356031098\) \(a_{73}=-0.985558805\) \(a_{74}=-0.564023929\) \(a_{75}=-1.388412168\)
\(a_{76}=+1.412791021\) \(a_{77}=+0.098510653\) \(a_{78}=-0.043185392\) \(a_{79}=-1.278517124\) \(a_{80}=-0.550968626\)
\(a_{81}=-0.420528742\) \(a_{82}=+0.208096607\) \(a_{83}=+1.338271682\) \(a_{84}=+0.189726842\) \(a_{85}=-0.440495300\)
\(a_{86}=-0.401857062\) \(a_{87}=-0.825545201\) \(a_{88}=+0.261342899\) \(a_{89}=+0.745127776\) \(a_{90}=-0.339701214\)
\(a_{91}=-0.037248249\) \(a_{92}=+0.641340532\) \(a_{93}=+0.678803158\) \(a_{94}=-0.572019512\) \(a_{95}=+3.129904609\)
\(a_{96}=+0.789891414\) \(a_{97}=-1.401127084\) \(a_{98}=+0.440794908\) \(a_{99}=-0.123846726\) \(a_{100}=-1.368265309\)

Showing 100 of 1000 available coefficients

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