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: \( 3.28347243518 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.131310991\) \(a_{3}=+0.224406359\) \(a_{4}=+0.279864558\) \(a_{5}=+0.589122331\)
\(a_{6}=+0.253873380\) \(a_{7}=+0.345620081\) \(a_{8}=-0.814697141\) \(a_{9}=-0.949641786\) \(a_{10}=+0.666480568\)
\(a_{11}=-0.301511345\) \(a_{12}=+0.062803386\) \(a_{13}=+1.566714344\) \(a_{14}=+0.391003796\) \(a_{15}=+0.132202797\)
\(a_{16}=-1.201540387\) \(a_{17}=+0.311103382\) \(a_{18}=-1.074340190\) \(a_{19}=-0.607336751\) \(a_{20}=+0.164874460\)
\(a_{21}=+0.077559344\) \(a_{22}=-0.341103098\) \(a_{23}=+1.704689146\) \(a_{24}=-0.182823219\) \(a_{25}=-0.652934880\)
\(a_{26}=+1.772441157\) \(a_{27}=-0.437512014\) \(a_{28}=+0.096726811\) \(a_{29}=-1.362093252\) \(a_{30}=+0.149562477\)
\(a_{31}=+0.587202826\) \(a_{32}=-0.544618704\) \(a_{33}=-0.067661063\) \(a_{34}=+0.351954675\) \(a_{35}=+0.203612507\)
\(a_{36}=-0.265771077\) \(a_{37}=-0.107815078\) \(a_{38}=-0.687086741\) \(a_{39}=+0.351580660\) \(a_{40}=-0.479956281\)
\(a_{41}=-0.209458705\) \(a_{42}=+0.087743741\) \(a_{43}=+0.180001221\) \(a_{44}=-0.084382344\) \(a_{45}=-0.559455188\)
\(a_{46}=+1.928533587\) \(a_{47}=+1.728120465\) \(a_{48}=-0.269633327\) \(a_{49}=-0.880546767\) \(a_{50}=-0.738672412\)
\(a_{51}=+0.069813648\) \(a_{52}=+0.438467814\) \(a_{53}=+0.545317207\) \(a_{54}=-0.494962151\) \(a_{55}=-0.177627066\)
\(a_{56}=-0.281575691\) \(a_{57}=-0.136290228\) \(a_{58}=-1.540951068\) \(a_{59}=-0.531707710\) \(a_{60}=+0.036998878\)
\(a_{61}=-0.641737858\) \(a_{62}=+0.664309012\) \(a_{63}=-0.328215270\) \(a_{64}=+0.585407261\) \(a_{65}=+0.922986399\)
\(a_{66}=-0.076545710\) \(a_{67}=+0.944987511\) \(a_{68}=+0.087066819\) \(a_{69}=+0.382543071\) \(a_{70}=+0.230349099\)
\(a_{71}=+0.712339602\) \(a_{72}=+0.773670450\) \(a_{73}=-1.220269649\) \(a_{74}=-0.121972336\) \(a_{75}=-0.146522707\)
\(a_{76}=-0.169972255\) \(a_{77}=-0.104208371\) \(a_{78}=+0.397747065\) \(a_{79}=-1.421627682\) \(a_{80}=-0.707854271\)
\(a_{81}=+0.851461317\) \(a_{82}=-0.236962943\) \(a_{83}=-0.818196031\) \(a_{84}=+0.021706113\) \(a_{85}=+0.183277954\)
\(a_{86}=+0.203637401\) \(a_{87}=-0.305662430\) \(a_{88}=+0.245640441\) \(a_{89}=-0.043611715\) \(a_{90}=-0.632917795\)
\(a_{91}=+0.541487930\) \(a_{92}=+0.477082070\) \(a_{93}=+0.131772049\) \(a_{94}=+1.955041624\) \(a_{95}=-0.357795627\)
\(a_{96}=-0.122215890\) \(a_{97}=-1.344423086\) \(a_{98}=-0.996172251\) \(a_{99}=+0.286327744\) \(a_{100}=-0.182733007\)

Showing 100 of 1000 available coefficients

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