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: \( 2.48359105956 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.100973853\) \(a_{3}=+1.572025704\) \(a_{4}=+0.212143426\) \(a_{5}=+0.684695025\)
\(a_{6}=-1.730759197\) \(a_{7}=-0.843905150\) \(a_{8}=+0.867409488\) \(a_{9}=+1.471264815\) \(a_{10}=-0.753831321\)
\(a_{11}=-0.301511345\) \(a_{12}=+0.333494919\) \(a_{13}=-0.721736394\) \(a_{14}=+0.929117505\) \(a_{15}=+1.076358179\)
\(a_{16}=-1.167138593\) \(a_{17}=+0.213708483\) \(a_{18}=-1.619824093\) \(a_{19}=+0.877312482\) \(a_{20}=+0.145253548\)
\(a_{21}=-1.326640588\) \(a_{22}=+0.331956107\) \(a_{23}=+0.184640773\) \(a_{24}=+1.363590012\) \(a_{25}=-0.531192722\)
\(a_{26}=+0.794612899\) \(a_{27}=+0.740840402\) \(a_{28}=-0.179028930\) \(a_{29}=-0.384678810\) \(a_{30}=-1.185042213\)
\(a_{31}=+0.588917274\) \(a_{32}=+0.417579586\) \(a_{33}=-0.473983584\) \(a_{34}=-0.235287452\) \(a_{35}=-0.577817658\)
\(a_{36}=+0.312119158\) \(a_{37}=-0.629634519\) \(a_{38}=-0.965898105\) \(a_{39}=-1.134588163\) \(a_{40}=+0.593910962\)
\(a_{41}=+1.465005281\) \(a_{42}=+1.460596600\) \(a_{43}=+0.977864483\) \(a_{44}=-0.063963650\) \(a_{45}=+1.007367700\)
\(a_{46}=-0.203284664\) \(a_{47}=-0.348925510\) \(a_{48}=-1.834771868\) \(a_{49}=-0.287824098\) \(a_{50}=+0.584829298\)
\(a_{51}=+0.335955228\) \(a_{52}=-0.153111631\) \(a_{53}=-1.226978147\) \(a_{54}=-0.815645913\) \(a_{55}=-0.206443318\)
\(a_{56}=-0.732011334\) \(a_{57}=+1.379157773\) \(a_{58}=+0.423521311\) \(a_{59}=+1.993292447\) \(a_{60}=+0.228342312\)
\(a_{61}=-0.726804839\) \(a_{62}=-0.648382520\) \(a_{63}=-1.241607954\) \(a_{64}=+0.707394387\) \(a_{65}=-0.494169318\)
\(a_{66}=+0.521843533\) \(a_{67}=-1.180685882\) \(a_{68}=+0.045336850\) \(a_{69}=+0.290260042\) \(a_{70}=+0.636162134\)
\(a_{71}=+1.085461793\) \(a_{72}=+1.276189060\) \(a_{73}=-0.873738034\) \(a_{74}=+0.693211143\) \(a_{75}=-0.835048613\)
\(a_{76}=+0.186116076\) \(a_{77}=+0.254446977\) \(a_{78}=+1.249151902\) \(a_{79}=-0.673764588\) \(a_{80}=-0.799133988\)
\(a_{81}=-0.306644659\) \(a_{82}=-1.612932509\) \(a_{83}=+0.369319338\) \(a_{84}=-0.281438079\) \(a_{85}=+0.146325135\)
\(a_{86}=-1.076603228\) \(a_{87}=-0.604724976\) \(a_{88}=-0.261533801\) \(a_{89}=+1.105279973\) \(a_{90}=-1.109085498\)
\(a_{91}=+0.609077060\) \(a_{92}=+0.039170326\) \(a_{93}=+0.925793092\) \(a_{94}=+0.384157864\) \(a_{95}=+0.600691492\)
\(a_{96}=+0.656445843\) \(a_{97}=+1.506028865\) \(a_{98}=+0.316886806\) \(a_{99}=-0.443603033\) \(a_{100}=-0.112689044\)

Showing 100 of 546 available coefficients

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