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: \( 3.67969872505 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.316124404\) \(a_{3}=-0.751972757\) \(a_{4}=-0.900065361\) \(a_{5}=+0.972674325\)
\(a_{6}=+0.237716940\) \(a_{7}=-1.447597464\) \(a_{8}=+0.600657030\) \(a_{9}=-0.434536973\) \(a_{10}=-0.307486091\)
\(a_{11}=-0.301511345\) \(a_{12}=+0.676824631\) \(a_{13}=+0.531041651\) \(a_{14}=+0.457620886\) \(a_{15}=-0.731424594\)
\(a_{16}=+0.710183015\) \(a_{17}=-0.748483381\) \(a_{18}=+0.137367742\) \(a_{19}=-0.355909048\) \(a_{20}=-0.875470468\)
\(a_{21}=+1.088553857\) \(a_{22}=+0.095315094\) \(a_{23}=-0.758558667\) \(a_{24}=-0.451677723\) \(a_{25}=-0.053904657\)
\(a_{26}=-0.167875226\) \(a_{27}=+1.078732722\) \(a_{28}=+1.302932335\) \(a_{29}=+1.183046046\) \(a_{30}=+0.231221164\)
\(a_{31}=-1.877592719\) \(a_{32}=-0.825163213\) \(a_{33}=+0.226728317\) \(a_{34}=+0.236613863\) \(a_{35}=-1.408040887\)
\(a_{36}=+0.391111677\) \(a_{37}=-0.065792183\) \(a_{38}=+0.112511536\) \(a_{39}=-0.399328855\) \(a_{40}=+0.584243671\)
\(a_{41}=-0.376072093\) \(a_{42}=-0.344118439\) \(a_{43}=+1.613528402\) \(a_{44}=+0.271379917\) \(a_{45}=-0.422662956\)
\(a_{46}=+0.239798907\) \(a_{47}=-0.256350993\) \(a_{48}=-0.534038280\) \(a_{49}=+1.095538419\) \(a_{50}=+0.017040578\)
\(a_{51}=+0.562839112\) \(a_{52}=-0.477972196\) \(a_{53}=+0.259372728\) \(a_{54}=-0.341013739\) \(a_{55}=-0.293272344\)
\(a_{56}=-0.869509594\) \(a_{57}=+0.267633908\) \(a_{58}=-0.373989726\) \(a_{59}=-1.396625614\) \(a_{60}=+0.658329941\)
\(a_{61}=-0.513058626\) \(a_{62}=+0.593552879\) \(a_{63}=+0.629034620\) \(a_{64}=-0.449328786\) \(a_{65}=+0.516530580\)
\(a_{66}=-0.071674354\) \(a_{67}=+0.062975304\) \(a_{68}=+0.673683964\) \(a_{69}=+0.570415452\) \(a_{70}=+0.445116086\)
\(a_{71}=-1.410403005\) \(a_{72}=-0.261007687\) \(a_{73}=+0.979505376\) \(a_{74}=+0.020798514\) \(a_{75}=+0.040534834\)
\(a_{76}=+0.320341406\) \(a_{77}=+0.436467058\) \(a_{78}=+0.126237596\) \(a_{79}=-1.392512752\) \(a_{80}=+0.690776785\)
\(a_{81}=-0.376640647\) \(a_{82}=+0.118885566\) \(a_{83}=+0.894494043\) \(a_{84}=-0.979769620\) \(a_{85}=-0.728030567\)
\(a_{86}=-0.510075705\) \(a_{87}=-0.889618397\) \(a_{88}=-0.181104909\) \(a_{89}=+0.104940929\) \(a_{90}=+0.133614075\)
\(a_{91}=-0.768734548\) \(a_{92}=+0.682752381\) \(a_{93}=+1.411898573\) \(a_{94}=+0.081038805\) \(a_{95}=-0.346183593\)
\(a_{96}=+0.620500256\) \(a_{97}=-0.064369372\) \(a_{98}=-0.346326430\) \(a_{99}=+0.131017827\) \(a_{100}=+0.048517715\)

Showing 100 of 546 available coefficients

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