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: \( 6.03361084488 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.537247905\) \(a_{3}=+0.454806901\) \(a_{4}=+1.363131122\) \(a_{5}=+0.175273956\)
\(a_{6}=-0.699150956\) \(a_{7}=+0.432018344\) \(a_{8}=-0.558222556\) \(a_{9}=-0.793150683\) \(a_{10}=-0.269439521\)
\(a_{11}=-0.301511345\) \(a_{12}=+0.619961441\) \(a_{13}=-0.539032405\) \(a_{14}=-0.664119294\) \(a_{15}=+0.079715805\)
\(a_{16}=-0.505004667\) \(a_{17}=-1.305172142\) \(a_{18}=+1.219269226\) \(a_{19}=+1.206783253\) \(a_{20}=+0.238921384\)
\(a_{21}=+0.196484924\) \(a_{22}=+0.463497683\) \(a_{23}=-1.643131765\) \(a_{24}=-0.253883471\) \(a_{25}=-0.969279040\)
\(a_{26}=+0.828626435\) \(a_{27}=-0.815537305\) \(a_{28}=+0.588897650\) \(a_{29}=-0.070615341\) \(a_{30}=-0.122542954\)
\(a_{31}=-0.290637446\) \(a_{32}=+1.334539922\) \(a_{33}=-0.137129440\) \(a_{34}=+2.006373140\) \(a_{35}=+0.075721564\)
\(a_{36}=-1.081168380\) \(a_{37}=+0.662325997\) \(a_{38}=-1.855125028\) \(a_{39}=-0.245155658\) \(a_{40}=-0.097841876\)
\(a_{41}=-1.425288706\) \(a_{42}=-0.302046038\) \(a_{43}=+1.078960043\) \(a_{44}=-0.410999497\) \(a_{45}=-0.139018658\)
\(a_{46}=+2.525900864\) \(a_{47}=+0.101703393\) \(a_{48}=-0.229679608\) \(a_{49}=-0.813360150\) \(a_{50}=+1.490022174\)
\(a_{51}=-0.593601297\) \(a_{52}=-0.734771847\) \(a_{53}=-1.466201090\) \(a_{54}=+1.253683014\) \(a_{55}=-0.052847086\)
\(a_{56}=-0.241162384\) \(a_{57}=+0.548853352\) \(a_{58}=+0.108553286\) \(a_{59}=+0.265930786\) \(a_{60}=+0.108663094\)
\(a_{61}=+0.146304182\) \(a_{62}=+0.446781805\) \(a_{63}=-0.342655645\) \(a_{64}=-1.546514033\) \(a_{65}=-0.094478342\)
\(a_{66}=+0.210801945\) \(a_{67}=+1.446617269\) \(a_{68}=-1.779120765\) \(a_{69}=-0.747307666\) \(a_{70}=-0.116402816\)
\(a_{71}=-0.165304428\) \(a_{72}=+0.442754601\) \(a_{73}=+1.679064114\) \(a_{74}=-1.018159252\) \(a_{75}=-0.440834797\)
\(a_{76}=+1.645003809\) \(a_{77}=-0.130258432\) \(a_{78}=+0.376865021\) \(a_{79}=-0.919301887\) \(a_{80}=-0.088514166\)
\(a_{81}=+0.422238688\) \(a_{82}=+2.191022078\) \(a_{83}=+0.532507704\) \(a_{84}=+0.267834715\) \(a_{85}=-0.228762684\)
\(a_{86}=-1.658629066\) \(a_{87}=-0.032116345\) \(a_{88}=+0.168310433\) \(a_{89}=-1.687171201\) \(a_{90}=+0.213706140\)
\(a_{91}=-0.232871887\) \(a_{92}=-2.239804046\) \(a_{93}=-0.132183916\) \(a_{94}=-0.156343327\) \(a_{95}=+0.211517675\)
\(a_{96}=+0.606957966\) \(a_{97}=-0.112773273\) \(a_{98}=+1.250336187\) \(a_{99}=+0.239143929\) \(a_{100}=-1.321254425\)

Showing 100 of 546 available coefficients

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