Properties

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

Related objects

Downloads

Learn more about

Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 4.71167698681 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.824218888\) \(a_{3}=+0.840446044\) \(a_{4}=+2.327774551\) \(a_{5}=-1.461684696\)
\(a_{6}=+1.533157548\) \(a_{7}=+0.112535946\) \(a_{8}=+2.422151416\) \(a_{9}=-0.293650447\) \(a_{10}=-2.666432831\)
\(a_{11}=-0.301511345\) \(a_{12}=+1.956368913\) \(a_{13}=-0.323249115\) \(a_{14}=+0.205290199\) \(a_{15}=-1.228467120\)
\(a_{16}=+2.090759811\) \(a_{17}=+1.159696498\) \(a_{18}=-0.535682692\) \(a_{19}=+0.199981710\) \(a_{20}=-3.402472438\)
\(a_{21}=+0.094580391\) \(a_{22}=-0.550022690\) \(a_{23}=+0.593099116\) \(a_{24}=+2.035687575\) \(a_{25}=+1.136522150\)
\(a_{26}=-0.589677141\) \(a_{27}=-1.087243400\) \(a_{28}=+0.261958312\) \(a_{29}=+1.262894667\) \(a_{30}=-2.240992924\)
\(a_{31}=-0.998273149\) \(a_{32}=+1.391852117\) \(a_{33}=-0.253404025\) \(a_{34}=+2.115540256\) \(a_{35}=-0.164492070\)
\(a_{36}=-0.683552038\) \(a_{37}=+0.560357427\) \(a_{38}=+0.364810412\) \(a_{39}=-0.271673440\) \(a_{40}=-3.540421656\)
\(a_{41}=+0.615178532\) \(a_{42}=+0.172535335\) \(a_{43}=+0.665476185\) \(a_{44}=-0.701850435\) \(a_{45}=+0.429224366\)
\(a_{46}=+1.081942610\) \(a_{47}=-1.209906779\) \(a_{48}=+1.757170812\) \(a_{49}=-0.987335659\) \(a_{50}=+2.073265177\)
\(a_{51}=+0.974662331\) \(a_{52}=-0.752451069\) \(a_{53}=-0.285773447\) \(a_{54}=-1.983369940\) \(a_{55}=+0.440714527\)
\(a_{56}=+0.272579084\) \(a_{57}=+0.168073817\) \(a_{58}=+2.303796332\) \(a_{59}=+0.104805774\) \(a_{60}=-2.859594484\)
\(a_{61}=-1.452803435\) \(a_{62}=-1.821068801\) \(a_{63}=-0.033046231\) \(a_{64}=+0.448283118\) \(a_{65}=+0.472488284\)
\(a_{66}=-0.462264394\) \(a_{67}=+0.938897829\) \(a_{68}=+2.699511996\) \(a_{69}=+0.498467806\) \(a_{70}=-0.300069542\)
\(a_{71}=+0.595109961\) \(a_{72}=-0.711265845\) \(a_{73}=-0.496975165\) \(a_{74}=+1.022214603\) \(a_{75}=+0.955185545\)
\(a_{76}=+0.465512333\) \(a_{77}=-0.033930863\) \(a_{78}=-0.495591818\) \(a_{79}=-1.413152400\) \(a_{80}=-3.056031617\)
\(a_{81}=-0.620118971\) \(a_{82}=+1.122220294\) \(a_{83}=+1.464937335\) \(a_{84}=+0.220161833\) \(a_{85}=-1.695110632\)
\(a_{86}=+1.213974211\) \(a_{87}=+1.061394810\) \(a_{88}=-0.730306117\) \(a_{89}=-0.565752206\) \(a_{90}=+0.782999237\)
\(a_{91}=-0.036377144\) \(a_{92}=+1.380600800\) \(a_{93}=-0.838994719\) \(a_{94}=-2.207134792\) \(a_{95}=-0.292310214\)
\(a_{96}=+1.169776615\) \(a_{97}=+0.938544185\) \(a_{98}=-1.801116365\) \(a_{99}=+0.088538939\) \(a_{100}=+2.645567343\)

Showing 100 of 1000 available coefficients

Rows: Cols: