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: \( 4.73801385946 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.524601547\) \(a_{3}=+0.417901869\) \(a_{4}=+1.324409877\) \(a_{5}=+1.279029080\)
\(a_{6}=+0.637133836\) \(a_{7}=-0.976108847\) \(a_{8}=+0.494595801\) \(a_{9}=-0.825358028\) \(a_{10}=+1.950009714\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.553473363\) \(a_{13}=-0.370709057\) \(a_{14}=-1.488177059\) \(a_{15}=+0.534508643\)
\(a_{16}=-0.570348354\) \(a_{17}=-0.067569526\) \(a_{18}=-1.258342126\) \(a_{19}=+1.651872507\) \(a_{20}=+1.693958746\)
\(a_{21}=-0.407917712\) \(a_{22}=+0.459684662\) \(a_{23}=-1.376925304\) \(a_{24}=+0.206692510\) \(a_{25}=+0.635915386\)
\(a_{26}=-0.565183602\) \(a_{27}=-0.762820532\) \(a_{28}=-1.292768198\) \(a_{29}=+0.886115046\) \(a_{30}=+0.814912703\)
\(a_{31}=+1.758108589\) \(a_{32}=-1.364149784\) \(a_{33}=+0.126002149\) \(a_{34}=-0.103016600\) \(a_{35}=-1.248471601\)
\(a_{36}=-1.093112324\) \(a_{37}=-0.306647000\) \(a_{38}=+2.518447379\) \(a_{39}=-0.154920008\) \(a_{40}=+0.632602412\)
\(a_{41}=+0.752123728\) \(a_{42}=-0.621911975\) \(a_{43}=+1.185323666\) \(a_{44}=+0.399324603\) \(a_{45}=-1.055656919\)
\(a_{46}=-2.099262448\) \(a_{47}=+0.187307860\) \(a_{48}=-0.238349643\) \(a_{49}=-0.047211519\) \(a_{50}=+0.969517581\)
\(a_{51}=-0.028237430\) \(a_{52}=-0.490970736\) \(a_{53}=-0.507499725\) \(a_{54}=-1.162997366\) \(a_{55}=+0.385641774\)
\(a_{56}=-0.482779330\) \(a_{57}=+0.690320612\) \(a_{58}=+1.350972369\) \(a_{59}=-0.002957801\) \(a_{60}=+0.707908520\)
\(a_{61}=-0.344768180\) \(a_{62}=+2.680415070\) \(a_{63}=+0.805639238\) \(a_{64}=-1.509436558\) \(a_{65}=-0.474147633\)
\(a_{66}=+0.192103079\) \(a_{67}=-0.971353016\) \(a_{68}=-0.089489747\) \(a_{69}=-0.575419658\) \(a_{70}=-1.903421734\)
\(a_{71}=+0.225392253\) \(a_{72}=-0.408218616\) \(a_{73}=+0.013291292\) \(a_{74}=-0.467514488\) \(a_{75}=+0.265750230\)
\(a_{76}=+2.187756262\) \(a_{77}=-0.294307896\) \(a_{78}=-0.236191286\) \(a_{79}=+0.018784631\) \(a_{80}=-0.729492125\)
\(a_{81}=+0.506573906\) \(a_{82}=+1.146688991\) \(a_{83}=-0.463706244\) \(a_{84}=-0.540250241\) \(a_{85}=-0.086423369\)
\(a_{86}=+1.807146323\) \(a_{87}=+0.370309116\) \(a_{88}=+0.149126193\) \(a_{89}=-0.084557134\) \(a_{90}=-1.609456136\)
\(a_{91}=+0.361852493\) \(a_{92}=-1.823613507\) \(a_{93}=+0.734716710\) \(a_{94}=+0.285569740\) \(a_{95}=+2.112792975\)
\(a_{96}=-0.570080757\) \(a_{97}=-1.681627961\) \(a_{98}=-0.071978738\) \(a_{99}=-0.248854819\) \(a_{100}=+0.842212605\)

Showing 100 of 1000 available coefficients

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