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: \( 8.14202179525 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.592707704\) \(a_{3}=+0.855258422\) \(a_{4}=+1.536717832\) \(a_{5}=+0.280383331\)
\(a_{6}=+1.362176678\) \(a_{7}=+1.139688582\) \(a_{8}=+0.854834626\) \(a_{9}=-0.268533031\) \(a_{10}=+0.446568692\)
\(a_{11}=-0.301511345\) \(a_{12}=+1.314290868\) \(a_{13}=+0.598111646\) \(a_{14}=+1.815190786\) \(a_{15}=+0.239800205\)
\(a_{16}=-0.175216138\) \(a_{17}=-0.285550213\) \(a_{18}=-0.427694628\) \(a_{19}=+1.741764016\) \(a_{20}=+0.430870065\)
\(a_{21}=+0.974728259\) \(a_{22}=-0.480219441\) \(a_{23}=-0.626367123\) \(a_{24}=+0.731104513\) \(a_{25}=-0.921385188\)
\(a_{26}=+0.952617027\) \(a_{27}=-1.084923559\) \(a_{28}=+1.751379767\) \(a_{29}=+0.946724095\) \(a_{30}=+0.381931635\)
\(a_{31}=-1.126896370\) \(a_{32}=-1.133902718\) \(a_{33}=-0.257870117\) \(a_{34}=-0.454798025\) \(a_{35}=+0.319549681\)
\(a_{36}=-0.412659498\) \(a_{37}=-1.239571193\) \(a_{38}=+2.774120968\) \(a_{39}=+0.511540023\) \(a_{40}=+0.239681380\)
\(a_{41}=+0.110547077\) \(a_{42}=+1.552457207\) \(a_{43}=-1.824633271\) \(a_{44}=-0.463337860\) \(a_{45}=-0.075292186\)
\(a_{46}=-0.997619743\) \(a_{47}=+1.094654775\) \(a_{48}=-0.149855077\) \(a_{49}=+0.298890065\) \(a_{50}=-1.467497287\)
\(a_{51}=-0.244219225\) \(a_{52}=+0.919128832\) \(a_{53}=-0.565177500\) \(a_{54}=-1.727966111\) \(a_{55}=-0.084538755\)
\(a_{56}=+0.974245262\) \(a_{57}=+1.489658344\) \(a_{58}=+1.507854759\) \(a_{59}=+0.484561639\) \(a_{60}=+0.368505252\)
\(a_{61}=+1.475996028\) \(a_{62}=-1.794816531\) \(a_{63}=-0.306044030\) \(a_{64}=-1.630759457\) \(a_{65}=+0.167700536\)
\(a_{66}=-0.410711722\) \(a_{67}=-0.047614336\) \(a_{68}=-0.438810105\) \(a_{69}=-0.535705758\) \(a_{70}=+0.508949239\)
\(a_{71}=+0.618533125\) \(a_{72}=-0.229551333\) \(a_{73}=+0.515489335\) \(a_{74}=-1.974274589\) \(a_{75}=-0.788022442\)
\(a_{76}=+2.676599823\) \(a_{77}=-0.343629037\) \(a_{78}=+0.814733735\) \(a_{79}=+0.753523766\) \(a_{80}=-0.049127684\)
\(a_{81}=-0.659356980\) \(a_{82}=+0.176069181\) \(a_{83}=-0.882178213\) \(a_{84}=+1.497882296\) \(a_{85}=-0.080063520\)
\(a_{86}=-2.906107468\) \(a_{87}=+0.809693755\) \(a_{88}=-0.257742337\) \(a_{89}=+1.906660183\) \(a_{90}=-0.119918445\)
\(a_{91}=+0.681661014\) \(a_{92}=-0.962549528\) \(a_{93}=-0.963787611\) \(a_{94}=+1.743465093\) \(a_{95}=+0.488361597\)
\(a_{96}=-0.969779849\) \(a_{97}=-1.002926430\) \(a_{98}=+0.476044509\) \(a_{99}=+0.080965755\) \(a_{100}=-1.415909048\)

Showing 100 of 546 available coefficients

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