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: \( 7.02463370062 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.442845265\) \(a_{3}=-1.601450323\) \(a_{4}=+1.081802459\) \(a_{5}=+1.213904736\)
\(a_{6}=+2.310645015\) \(a_{7}=-0.874832730\) \(a_{8}=-0.118028291\) \(a_{9}=+1.564643136\) \(a_{10}=-1.751476700\)
\(a_{11}=-0.301511345\) \(a_{12}=-1.732452897\) \(a_{13}=+1.248165618\) \(a_{14}=+1.262248262\) \(a_{15}=-1.944008131\)
\(a_{16}=-0.911505899\) \(a_{17}=+1.098919597\) \(a_{18}=-2.257537940\) \(a_{19}=-0.878110171\) \(a_{20}=+1.313205128\)
\(a_{21}=+1.401001157\) \(a_{22}=+0.435034216\) \(a_{23}=-0.018661495\) \(a_{24}=+0.189016444\) \(a_{25}=+0.473564708\)
\(a_{26}=-1.800909852\) \(a_{27}=-0.904247932\) \(a_{28}=-0.946396198\) \(a_{29}=-1.471486710\) \(a_{30}=+2.804902927\)
\(a_{31}=-0.165563371\) \(a_{32}=+1.433190261\) \(a_{33}=+0.482855440\) \(a_{34}=-1.585570937\) \(a_{35}=-1.061963594\)
\(a_{36}=+1.692634792\) \(a_{37}=+1.002197047\) \(a_{38}=+1.266977103\) \(a_{39}=-1.998875232\) \(a_{40}=-0.143275101\)
\(a_{41}=-0.604467063\) \(a_{42}=-2.021427886\) \(a_{43}=+0.940630807\) \(a_{44}=-0.326175714\) \(a_{45}=+1.899327712\)
\(a_{46}=+0.026925650\) \(a_{47}=-1.000703597\) \(a_{48}=+1.459731416\) \(a_{49}=-0.234667695\) \(a_{50}=-0.683280596\)
\(a_{51}=-1.759865143\) \(a_{52}=+1.350268635\) \(a_{53}=-1.146501810\) \(a_{54}=+1.304689847\) \(a_{55}=-0.366006049\)
\(a_{56}=+0.103255012\) \(a_{57}=+1.406249817\) \(a_{58}=+2.123127632\) \(a_{59}=-0.664384143\) \(a_{60}=-2.103032776\)
\(a_{61}=+0.478801218\) \(a_{62}=+0.238882326\) \(a_{63}=-1.368801026\) \(a_{64}=-1.156365883\) \(a_{65}=+1.515154155\)
\(a_{66}=-0.696685685\) \(a_{67}=-0.576996535\) \(a_{68}=+1.188813922\) \(a_{69}=+0.029885458\) \(a_{70}=+1.532249143\)
\(a_{71}=-0.081823321\) \(a_{72}=-0.184672155\) \(a_{73}=-1.476999545\) \(a_{74}=-1.446015264\) \(a_{75}=-0.758390354\)
\(a_{76}=-0.949941743\) \(a_{77}=+0.263771993\) \(a_{78}=+2.884067663\) \(a_{79}=+1.379867183\) \(a_{80}=-1.106481327\)
\(a_{81}=-0.116534994\) \(a_{82}=+0.872152439\) \(a_{83}=-0.705665516\) \(a_{84}=+1.515606497\) \(a_{85}=+1.333983703\)
\(a_{86}=-1.357184707\) \(a_{87}=+2.356512866\) \(a_{88}=+0.035586869\) \(a_{89}=-0.971893803\) \(a_{90}=-2.740435997\)
\(a_{91}=-1.091936135\) \(a_{92}=-0.020188052\) \(a_{93}=+0.265141514\) \(a_{94}=+1.443860447\) \(a_{95}=-1.065942096\)
\(a_{96}=-2.295183005\) \(a_{97}=-0.823846814\) \(a_{98}=+0.338589172\) \(a_{99}=-0.471757656\) \(a_{100}=+0.512303465\)

Showing 100 of 546 available coefficients

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