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: \( 8.62006794988 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.182838387\) \(a_{3}=+0.834426460\) \(a_{4}=+0.399106650\) \(a_{5}=-1.107827904\)
\(a_{6}=-0.986991648\) \(a_{7}=+1.053961440\) \(a_{8}=+0.710759720\) \(a_{9}=-0.303732483\) \(a_{10}=+1.310381371\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.333025150\) \(a_{13}=+1.077966689\) \(a_{14}=-1.246666051\) \(a_{15}=-0.924400916\)
\(a_{16}=-1.239820532\) \(a_{17}=-0.219526311\) \(a_{18}=+0.359266440\) \(a_{19}=-0.597322865\) \(a_{20}=-0.442141484\)
\(a_{21}=+0.879453314\) \(a_{22}=-0.356639193\) \(a_{23}=-1.391594987\) \(a_{24}=+0.593076717\) \(a_{25}=+0.227282664\)
\(a_{26}=-1.275060380\) \(a_{27}=-1.087868880\) \(a_{28}=+0.420643020\) \(a_{29}=-1.360373510\) \(a_{30}=+1.093416889\)
\(a_{31}=+1.204727978\) \(a_{32}=+0.755747598\) \(a_{33}=+0.251589044\) \(a_{34}=+0.259664148\) \(a_{35}=-1.167607893\)
\(a_{36}=-0.121221654\) \(a_{37}=-1.577696923\) \(a_{38}=+0.706536415\) \(a_{39}=+0.899483928\) \(a_{40}=-0.787399452\)
\(a_{41}=+0.121312829\) \(a_{42}=-1.040251141\) \(a_{43}=+0.190399641\) \(a_{44}=+0.120335188\) \(a_{45}=+0.336483311\)
\(a_{46}=+1.646031976\) \(a_{47}=-0.007115764\) \(a_{48}=-1.034539088\) \(a_{49}=+0.110834755\) \(a_{50}=-0.268838678\)
\(a_{51}=-0.183178584\) \(a_{52}=+0.430223675\) \(a_{53}=-1.295430363\) \(a_{54}=+1.286773072\) \(a_{55}=-0.334022681\)
\(a_{56}=+0.749113339\) \(a_{57}=-0.498422004\) \(a_{58}=+1.609102009\) \(a_{59}=+0.095450656\) \(a_{60}=-0.368934553\)
\(a_{61}=-0.616390057\) \(a_{62}=-1.424998499\) \(a_{63}=-0.320122325\) \(a_{64}=+0.345893262\) \(a_{65}=-1.194201577\)
\(a_{66}=-0.297589179\) \(a_{67}=+1.116587547\) \(a_{68}=-0.087614411\) \(a_{69}=-1.161183679\) \(a_{70}=+1.381091437\)
\(a_{71}=+1.422783149\) \(a_{72}=-0.215880815\) \(a_{73}=-0.745408594\) \(a_{74}=+1.866160484\) \(a_{75}=+0.189650669\)
\(a_{76}=-0.238395527\) \(a_{77}=+0.317781330\) \(a_{78}=-1.063944120\) \(a_{79}=-0.167354750\) \(a_{80}=+1.373507781\)
\(a_{81}=-0.604014094\) \(a_{82}=-0.143493474\) \(a_{83}=-1.553169276\) \(a_{84}=+0.350995673\) \(a_{85}=+0.243197379\)
\(a_{86}=-0.225212012\) \(a_{87}=-1.135131674\) \(a_{88}=+0.214302140\) \(a_{89}=-1.486901746\) \(a_{90}=-0.398005436\)
\(a_{91}=+1.136135305\) \(a_{92}=-0.555394801\) \(a_{93}=+1.005256960\) \(a_{94}=+0.008416811\) \(a_{95}=+0.661730938\)
\(a_{96}=+0.630615793\) \(a_{97}=+1.766628680\) \(a_{98}=-0.131099559\) \(a_{99}=-0.091578789\) \(a_{100}=+0.090710023\)

Showing 100 of 1000 available coefficients

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