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: \( 7.73368897344 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.996170849\) \(a_{3}=-1.122289093\) \(a_{4}=-0.007643640\) \(a_{5}=+0.586569096\)
\(a_{6}=+1.117991678\) \(a_{7}=+0.793241788\) \(a_{8}=+1.003785220\) \(a_{9}=+0.259532807\) \(a_{10}=-0.584323034\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.008578374\) \(a_{13}=-1.075509353\) \(a_{14}=-0.790204345\) \(a_{15}=-0.658300098\)
\(a_{16}=-0.992297935\) \(a_{17}=+0.591800885\) \(a_{18}=-0.258539017\) \(a_{19}=+1.217511749\) \(a_{20}=-0.004483523\)
\(a_{21}=-0.890246607\) \(a_{22}=-0.300356812\) \(a_{23}=-0.919726867\) \(a_{24}=-1.126537204\) \(a_{25}=-0.655936696\)
\(a_{26}=+1.071391065\) \(a_{27}=+0.831018254\) \(a_{28}=-0.006063255\) \(a_{29}=+0.923035655\) \(a_{30}=+0.655779368\)
\(a_{31}=-0.950026446\) \(a_{32}=-0.015286945\) \(a_{33}=-0.338382893\) \(a_{34}=-0.589534789\) \(a_{35}=+0.465291118\)
\(a_{36}=-0.001983775\) \(a_{37}=-0.495743118\) \(a_{38}=-1.212849712\) \(a_{39}=+1.207032416\) \(a_{40}=+0.588789389\)
\(a_{41}=-1.469677207\) \(a_{42}=+0.886837718\) \(a_{43}=+0.102493412\) \(a_{44}=-0.002304644\) \(a_{45}=+0.152233924\)
\(a_{46}=+0.916205093\) \(a_{47}=-1.458449735\) \(a_{48}=+1.113645135\) \(a_{49}=-0.370767455\) \(a_{50}=+0.653425015\)
\(a_{51}=-0.664171678\) \(a_{52}=+0.008220807\) \(a_{53}=+1.091647664\) \(a_{54}=-0.827836159\) \(a_{55}=+0.176857237\)
\(a_{56}=+0.796244383\) \(a_{57}=-1.366400156\) \(a_{58}=-0.919501211\) \(a_{59}=-1.118444412\) \(a_{60}=+0.005031809\)
\(a_{61}=+0.775069277\) \(a_{62}=+0.946388651\) \(a_{63}=+0.205872268\) \(a_{64}=+1.007526343\) \(a_{65}=-0.630860549\)
\(a_{66}=+0.337087174\) \(a_{67}=-1.764792203\) \(a_{68}=-0.004523513\) \(a_{69}=+1.032199431\) \(a_{70}=-0.463509448\)
\(a_{71}=-0.235714962\) \(a_{72}=+0.260515196\) \(a_{73}=+1.402945103\) \(a_{74}=+0.493844843\) \(a_{75}=+0.736150600\)
\(a_{76}=-0.009306222\) \(a_{77}=+0.239171397\) \(a_{78}=-1.202410508\) \(a_{79}=-0.158111587\) \(a_{80}=-0.582051299\)
\(a_{81}=-1.192175532\) \(a_{82}=+1.464049584\) \(a_{83}=-1.819244285\) \(a_{84}=+0.006804737\) \(a_{85}=+0.347132113\)
\(a_{86}=-0.102100963\) \(a_{87}=-1.035912859\) \(a_{88}=+0.302652637\) \(a_{89}=+0.200102716\) \(a_{90}=-0.151651008\)
\(a_{91}=-0.853139003\) \(a_{92}=+0.007030061\) \(a_{93}=+1.066204318\) \(a_{94}=+1.452865118\) \(a_{95}=+0.714154766\)
\(a_{96}=+0.017156371\) \(a_{97}=+1.480739555\) \(a_{98}=+0.369347741\) \(a_{99}=+0.078252086\) \(a_{100}=+0.005013744\)

Showing 100 of 1000 available coefficients

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