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: \( 5.8685322206 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.560846104\) \(a_{3}=-1.381489402\) \(a_{4}=+1.436240560\) \(a_{5}=-0.926635816\)
\(a_{6}=-2.156292350\) \(a_{7}=-1.120306671\) \(a_{8}=+0.680904378\) \(a_{9}=+0.908512968\) \(a_{10}=-1.446335903\)
\(a_{11}=-0.301511345\) \(a_{12}=-1.984151112\) \(a_{13}=+1.772254522\) \(a_{14}=-1.748626303\) \(a_{15}=+1.280137559\)
\(a_{16}=-0.373453615\) \(a_{17}=-0.462439195\) \(a_{18}=+1.418048926\) \(a_{19}=+0.128054593\) \(a_{20}=-1.330871943\)
\(a_{21}=+1.547691793\) \(a_{22}=-0.470612807\) \(a_{23}=-1.502902323\) \(a_{24}=-0.940662182\) \(a_{25}=-0.141346064\)
\(a_{26}=+2.766216565\) \(a_{27}=+0.126388365\) \(a_{28}=-1.609029881\) \(a_{29}=-0.817470589\) \(a_{30}=+1.998097722\)
\(a_{31}=-0.013328534\) \(a_{32}=-1.263807997\) \(a_{33}=+0.416534727\) \(a_{34}=-0.721796415\) \(a_{35}=+1.038116287\)
\(a_{36}=+1.304843173\) \(a_{37}=+0.005496633\) \(a_{38}=+0.199873512\) \(a_{39}=-2.448350839\) \(a_{40}=-0.630950384\)
\(a_{41}=+0.764195640\) \(a_{42}=+2.415708706\) \(a_{43}=-0.793620355\) \(a_{44}=-0.433042822\) \(a_{45}=-0.841860655\)
\(a_{46}=-2.345799235\) \(a_{47}=+0.370272233\) \(a_{48}=+0.515922211\) \(a_{49}=+0.255087038\) \(a_{50}=-0.220619454\)
\(a_{51}=+0.638854847\) \(a_{52}=+2.545383826\) \(a_{53}=+0.878897750\) \(a_{54}=+0.197272788\) \(a_{55}=+0.279391211\)
\(a_{56}=-0.762821717\) \(a_{57}=-0.176906063\) \(a_{58}=-1.275945785\) \(a_{59}=-1.242113083\) \(a_{60}=+1.838585485\)
\(a_{61}=-0.753278077\) \(a_{62}=-0.020803791\) \(a_{63}=-1.017813139\) \(a_{64}=-1.599156173\) \(a_{65}=-1.642234515\)
\(a_{66}=+0.650146606\) \(a_{67}=+0.914893871\) \(a_{68}=-0.664173928\) \(a_{69}=+2.076243631\) \(a_{70}=+1.620339761\)
\(a_{71}=+0.054894780\) \(a_{72}=+0.618610457\) \(a_{73}=+0.491030072\) \(a_{74}=+0.008579398\) \(a_{75}=+0.195268090\)
\(a_{76}=+0.183917200\) \(a_{77}=+0.337785171\) \(a_{78}=-3.821498868\) \(a_{79}=-0.197900813\) \(a_{80}=+0.346055495\)
\(a_{81}=-1.083117155\) \(a_{82}=+1.192791787\) \(a_{83}=-0.089907907\) \(a_{84}=+2.222857728\) \(a_{85}=+0.428512721\)
\(a_{86}=-1.238719238\) \(a_{87}=+1.129326956\) \(a_{88}=-0.205300394\) \(a_{89}=+1.469532375\) \(a_{90}=-1.314014924\)
\(a_{91}=-1.985468564\) \(a_{92}=-2.158529273\) \(a_{93}=+0.018413229\) \(a_{94}=+0.577937972\) \(a_{95}=-0.118659972\)
\(a_{96}=+1.745937354\) \(a_{97}=+0.131386600\) \(a_{98}=+0.398151609\) \(a_{99}=-0.273926966\) \(a_{100}=-0.203006950\)

Showing 100 of 546 available coefficients

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