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: \( 4.4795039188 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.206939450\) \(a_{3}=+1.002939752\) \(a_{4}=+0.456702837\) \(a_{5}=+0.590887752\)
\(a_{6}=-1.210487553\) \(a_{7}=+1.228517052\) \(a_{8}=+0.655726780\) \(a_{9}=+0.005888146\) \(a_{10}=-0.713165738\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.458045430\) \(a_{13}=+0.983932602\) \(a_{14}=-1.482745695\) \(a_{15}=+0.592624815\)
\(a_{16}=-1.248125356\) \(a_{17}=+0.779341822\) \(a_{18}=-0.007106635\) \(a_{19}=-0.982972942\) \(a_{20}=+0.269860112\)
\(a_{21}=+1.232128587\) \(a_{22}=-0.363905936\) \(a_{23}=+1.290273157\) \(a_{24}=+0.657654454\) \(a_{25}=-0.650851665\)
\(a_{26}=-1.187547074\) \(a_{27}=-0.997034296\) \(a_{28}=+0.561067223\) \(a_{29}=+0.969230262\) \(a_{30}=-0.715262269\)
\(a_{31}=-1.701382915\) \(a_{32}=+0.850684951\) \(a_{33}=+0.302397713\) \(a_{34}=-0.940618390\) \(a_{35}=+0.725915679\)
\(a_{36}=+0.002689133\) \(a_{37}=+1.010802500\) \(a_{38}=+1.186388823\) \(a_{39}=+0.986825120\) \(a_{40}=+0.387460923\)
\(a_{41}=-1.067799966\) \(a_{42}=-1.487104600\) \(a_{43}=+0.073687435\) \(a_{44}=+0.137701086\) \(a_{45}=+0.003479233\)
\(a_{46}=-1.557281575\) \(a_{47}=+0.187706375\) \(a_{48}=-1.251794534\) \(a_{49}=+0.509254147\) \(a_{50}=+0.785538551\)
\(a_{51}=+0.781632893\) \(a_{52}=+0.449364811\) \(a_{53}=-0.943508809\) \(a_{54}=+1.203360026\) \(a_{55}=+0.178159361\)
\(a_{56}=+0.805571530\) \(a_{57}=-0.985862639\) \(a_{58}=-1.169802240\) \(a_{59}=-0.103130141\) \(a_{60}=+0.270653434\)
\(a_{61}=-1.042889595\) \(a_{62}=+2.053466161\) \(a_{63}=+0.007233688\) \(a_{64}=+0.221400128\) \(a_{65}=+0.581393723\)
\(a_{66}=-0.364975730\) \(a_{67}=-1.121936660\) \(a_{68}=+0.355927621\) \(a_{69}=+1.294066240\) \(a_{70}=-0.876136270\)
\(a_{71}=+0.425150194\) \(a_{72}=+0.003861015\) \(a_{73}=-0.330066930\) \(a_{74}=-1.219977414\) \(a_{75}=-0.652765007\)
\(a_{76}=-0.448926531\) \(a_{77}=+0.370411828\) \(a_{78}=-1.191038168\) \(a_{79}=+1.560596260\) \(a_{80}=-0.737501985\)
\(a_{81}=-1.005853476\) \(a_{82}=+1.288769904\) \(a_{83}=+0.319279508\) \(a_{84}=+0.562716621\) \(a_{85}=+0.460503537\)
\(a_{86}=-0.088936272\) \(a_{87}=+0.972079559\) \(a_{88}=+0.197709063\) \(a_{89}=+0.295973200\) \(a_{90}=-0.004199224\)
\(a_{91}=+1.208777980\) \(a_{92}=+0.589271411\) \(a_{93}=-1.706384559\) \(a_{94}=-0.226550229\) \(a_{95}=-0.580826672\)
\(a_{96}=+0.853185754\) \(a_{97}=-0.806903688\) \(a_{98}=-0.614638920\) \(a_{99}=+0.001775343\) \(a_{100}=-0.297245802\)

Showing 100 of 546 available coefficients

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