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: \( 6.77549251517 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.796340700\) \(a_{3}=-0.160819824\) \(a_{4}=-0.365841489\) \(a_{5}=+0.693607508\)
\(a_{6}=-0.128067371\) \(a_{7}=-0.694739467\) \(a_{8}=-1.087675168\) \(a_{9}=-0.974136984\) \(a_{10}=+0.552347888\)
\(a_{11}=-0.301511345\) \(a_{12}=+0.058834564\) \(a_{13}=-1.508068727\) \(a_{14}=-0.553249314\) \(a_{15}=-0.111545837\)
\(a_{16}=-0.500318516\) \(a_{17}=+0.607944894\) \(a_{18}=-0.775744928\) \(a_{19}=+0.902467692\) \(a_{20}=-0.253750403\)
\(a_{21}=+0.111727879\) \(a_{22}=-0.240105755\) \(a_{23}=+0.477367693\) \(a_{24}=+0.174919729\) \(a_{25}=-0.518908625\)
\(a_{26}=-1.200936507\) \(a_{27}=+0.317480361\) \(a_{28}=+0.254164521\) \(a_{29}=+0.427235393\) \(a_{30}=-0.088828490\)
\(a_{31}=-1.067373665\) \(a_{32}=+0.689251171\) \(a_{33}=+0.048489001\) \(a_{34}=+0.484131263\) \(a_{35}=-0.481876510\)
\(a_{36}=+0.356379725\) \(a_{37}=+0.168470717\) \(a_{38}=+0.718671754\) \(a_{39}=+0.242527347\) \(a_{40}=-0.754419662\)
\(a_{41}=+0.678665135\) \(a_{42}=+0.088973457\) \(a_{43}=-1.724129084\) \(a_{44}=+0.110305359\) \(a_{45}=-0.675668726\)
\(a_{46}=+0.380147323\) \(a_{47}=-0.037715794\) \(a_{48}=+0.080461135\) \(a_{49}=-0.517337073\) \(a_{50}=-0.413228058\)
\(a_{51}=-0.097769591\) \(a_{52}=+0.551714109\) \(a_{53}=+1.922896352\) \(a_{54}=+0.252822533\) \(a_{55}=-0.209130532\)
\(a_{56}=+0.755650867\) \(a_{57}=-0.145134695\) \(a_{58}=+0.340224932\) \(a_{59}=-0.219793415\) \(a_{60}=+0.040808095\)
\(a_{61}=-1.800514946\) \(a_{62}=-0.849993092\) \(a_{63}=+0.676771410\) \(a_{64}=+1.049197276\) \(a_{65}=-1.046007791\)
\(a_{66}=+0.038613765\) \(a_{67}=-0.885501233\) \(a_{68}=-0.222411465\) \(a_{69}=-0.076770188\) \(a_{70}=-0.383737878\)
\(a_{71}=+0.405573164\) \(a_{72}=+1.059544608\) \(a_{73}=+0.615812000\) \(a_{74}=+0.134160089\) \(a_{75}=+0.083450794\)
\(a_{76}=-0.330160124\) \(a_{77}=+0.209471831\) \(a_{78}=+0.193134397\) \(a_{79}=-0.384210056\) \(a_{80}=-0.347024679\)
\(a_{81}=+0.923079849\) \(a_{82}=+0.540448669\) \(a_{83}=+0.075009155\) \(a_{84}=-0.040874693\) \(a_{85}=+0.421675143\)
\(a_{86}=-1.372994162\) \(a_{87}=-0.068707920\) \(a_{88}=+0.327946402\) \(a_{89}=-1.255209667\) \(a_{90}=-0.538062506\)
\(a_{91}=+1.047714864\) \(a_{92}=-0.174640908\) \(a_{93}=+0.171654844\) \(a_{94}=-0.030034622\) \(a_{95}=+0.625958367\)
\(a_{96}=-0.110845252\) \(a_{97}=-0.293308973\) \(a_{98}=-0.411976567\) \(a_{99}=+0.293713352\) \(a_{100}=+0.189838304\)

Showing 100 of 546 available coefficients

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