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: \( 4.55526078532 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.888080650\) \(a_{3}=-1.512237170\) \(a_{4}=-0.211312760\) \(a_{5}=+0.374822765\)
\(a_{6}=-1.342988569\) \(a_{7}=-0.686912440\) \(a_{8}=-1.075743423\) \(a_{9}=+1.286861259\) \(a_{10}=+0.332872845\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.319555010\) \(a_{13}=-0.897357783\) \(a_{14}=-0.610033646\) \(a_{15}=-0.566820918\)
\(a_{16}=-0.744034158\) \(a_{17}=+1.662644678\) \(a_{18}=+1.142836583\) \(a_{19}=-1.918121171\) \(a_{20}=-0.079204833\)
\(a_{21}=+1.038774524\) \(a_{22}=+0.267766391\) \(a_{23}=-0.339189297\) \(a_{24}=+1.626779189\) \(a_{25}=-0.859507894\)
\(a_{26}=-0.796926084\) \(a_{27}=-0.433802257\) \(a_{28}=+0.145153366\) \(a_{29}=-0.352989966\) \(a_{30}=-0.503382682\)
\(a_{31}=+0.059968093\) \(a_{32}=+0.414981084\) \(a_{33}=-0.455956663\) \(a_{34}=+1.476562566\) \(a_{35}=-0.257470420\)
\(a_{36}=-0.271930204\) \(a_{37}=+0.970243250\) \(a_{38}=-1.703446296\) \(a_{39}=+1.357017794\) \(a_{40}=-0.403213124\)
\(a_{41}=-0.161571715\) \(a_{42}=+0.922515557\) \(a_{43}=-0.587819240\) \(a_{44}=-0.063713196\) \(a_{45}=+0.482344899\)
\(a_{46}=-0.301227454\) \(a_{47}=-0.014590825\) \(a_{48}=+1.125156101\) \(a_{49}=-0.528151311\) \(a_{50}=-0.763312306\)
\(a_{51}=-2.514313092\) \(a_{52}=+0.189623164\) \(a_{53}=-0.268001262\) \(a_{54}=-0.385251426\) \(a_{55}=+0.113013316\)
\(a_{56}=+0.738941540\) \(a_{57}=+2.900654130\) \(a_{58}=-0.313483549\) \(a_{59}=+0.269187116\) \(a_{60}=+0.119776492\)
\(a_{61}=+0.740556398\) \(a_{62}=+0.053256505\) \(a_{63}=-0.883961010\) \(a_{64}=+1.112570832\) \(a_{65}=-0.336350127\)
\(a_{66}=-0.404926292\) \(a_{67}=-1.129842651\) \(a_{68}=-0.351338038\) \(a_{69}=+0.512934664\) \(a_{70}=-0.228654491\)
\(a_{71}=-1.772630744\) \(a_{72}=-1.384332558\) \(a_{73}=+0.227232930\) \(a_{74}=+0.861654246\) \(a_{75}=+1.299779807\)
\(a_{76}=+0.405323459\) \(a_{77}=-0.207111931\) \(a_{78}=+1.205141317\) \(a_{79}=-0.340412487\) \(a_{80}=-0.278881020\)
\(a_{81}=-0.630849372\) \(a_{82}=-0.143488593\) \(a_{83}=+0.174246259\) \(a_{84}=-0.219506167\) \(a_{85}=+0.623196807\)
\(a_{86}=-0.522030880\) \(a_{87}=+0.533804530\) \(a_{88}=-0.324348843\) \(a_{89}=+0.685588174\) \(a_{90}=+0.428361171\)
\(a_{91}=+0.616406203\) \(a_{92}=+0.071675009\) \(a_{93}=-0.090685977\) \(a_{94}=-0.012957836\) \(a_{95}=-0.718955502\)
\(a_{96}=-0.627549822\) \(a_{97}=+0.602741828\) \(a_{98}=-0.469040957\) \(a_{99}=+0.388003270\) \(a_{100}=+0.181624987\)

Showing 100 of 1000 available coefficients

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