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: \( 7.29898901639 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.976260229\) \(a_{3}=+0.290429645\) \(a_{4}=+2.905604493\) \(a_{5}=+0.331723652\)
\(a_{6}=+0.573964557\) \(a_{7}=-0.558300909\) \(a_{8}=+3.765970372\) \(a_{9}=-0.915650621\) \(a_{10}=+0.655572261\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.843873681\) \(a_{13}=+0.812440391\) \(a_{14}=-1.103347883\) \(a_{15}=+0.096342382\)
\(a_{16}=+4.536932977\) \(a_{17}=-0.573202630\) \(a_{18}=-1.809563907\) \(a_{19}=-1.019680266\) \(a_{20}=+0.963857734\)
\(a_{21}=-0.162147135\) \(a_{22}=+0.595864879\) \(a_{23}=-0.167981255\) \(a_{24}=+1.093749438\) \(a_{25}=-0.889959419\)
\(a_{26}=+1.605593633\) \(a_{27}=-0.556361730\) \(a_{28}=-1.622201631\) \(a_{29}=-0.928848048\) \(a_{30}=+0.190397619\)
\(a_{31}=-0.730331256\) \(a_{32}=+5.200189833\) \(a_{33}=+0.087567833\) \(a_{34}=-1.132797561\) \(a_{35}=-0.185201617\)
\(a_{36}=-2.660518560\) \(a_{37}=+1.075505690\) \(a_{38}=-2.015153557\) \(a_{39}=+0.235956774\) \(a_{40}=+1.249261446\)
\(a_{41}=-0.357427791\) \(a_{42}=-0.320444934\) \(a_{43}=+0.496752847\) \(a_{44}=+0.876072718\) \(a_{45}=-0.303742968\)
\(a_{46}=-0.331974673\) \(a_{47}=+1.358469940\) \(a_{48}=+1.317659834\) \(a_{49}=-0.688300095\) \(a_{50}=-1.758791405\)
\(a_{51}=-0.166475036\) \(a_{52}=+2.360630450\) \(a_{53}=+0.367749576\) \(a_{54}=-1.099515559\) \(a_{55}=+0.100018444\)
\(a_{56}=-2.102544684\) \(a_{57}=-0.296145378\) \(a_{58}=-1.835645457\) \(a_{59}=-0.332961018\) \(a_{60}=+0.279932859\)
\(a_{61}=+0.858173162\) \(a_{62}=-1.443324616\) \(a_{63}=+0.511208575\) \(a_{64}=+5.739995373\) \(a_{65}=+0.269505694\)
\(a_{66}=+0.173056825\) \(a_{67}=-0.159938987\) \(a_{68}=-1.665500138\) \(a_{69}=-0.048786736\) \(a_{70}=-0.366006589\)
\(a_{71}=+0.604176107\) \(a_{72}=-3.448313111\) \(a_{73}=+1.214747479\) \(a_{74}=+2.125479121\) \(a_{75}=-0.258470598\)
\(a_{76}=-2.962787563\) \(a_{77}=-0.168334058\) \(a_{78}=+0.466311989\) \(a_{79}=+0.377119091\) \(a_{80}=+1.505007977\)
\(a_{81}=+0.754066682\) \(a_{82}=-0.706370328\) \(a_{83}=-0.597785647\) \(a_{84}=-0.471135444\) \(a_{85}=-0.190144870\)
\(a_{86}=+0.981712896\) \(a_{87}=-0.269765009\) \(a_{88}=+1.135482791\) \(a_{89}=-1.255671894\) \(a_{90}=-0.600275148\)
\(a_{91}=-0.453586209\) \(a_{92}=-0.488087089\) \(a_{93}=-0.212109847\) \(a_{94}=+2.684690114\) \(a_{95}=-0.338252062\)
\(a_{96}=+1.510289287\) \(a_{97}=+0.776970328\) \(a_{98}=-1.360260102\) \(a_{99}=-0.276079050\) \(a_{100}=-2.585870085\)

Showing 100 of 546 available coefficients

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