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: \( 7.16536040403 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.508098903\) \(a_{3}=-0.552331554\) \(a_{4}=+1.274362300\) \(a_{5}=-1.396561264\)
\(a_{6}=-0.832970610\) \(a_{7}=+0.051047965\) \(a_{8}=+0.413765484\) \(a_{9}=-0.694929855\) \(a_{10}=-2.106152510\)
\(a_{11}=+0.301511345\) \(a_{12}=-0.703870509\) \(a_{13}=-1.430040780\) \(a_{14}=+0.076985380\) \(a_{15}=+0.771364853\)
\(a_{16}=-0.650363028\) \(a_{17}=+0.694686872\) \(a_{18}=-1.048022951\) \(a_{19}=+0.350306879\) \(a_{20}=-1.779725025\)
\(a_{21}=-0.028195402\) \(a_{22}=+0.454708928\) \(a_{23}=+0.767809968\) \(a_{24}=-0.228535732\) \(a_{25}=+0.950383364\)
\(a_{26}=-2.156642931\) \(a_{27}=+0.936163240\) \(a_{28}=+0.065053602\) \(a_{29}=-1.062353213\) \(a_{30}=+1.163294488\)
\(a_{31}=+1.461901633\) \(a_{32}=-1.394577253\) \(a_{33}=-0.166534229\) \(a_{34}=+1.047656509\) \(a_{35}=-0.071291610\)
\(a_{36}=-0.885592408\) \(a_{37}=-1.343352399\) \(a_{38}=+0.528297420\) \(a_{39}=+0.789856646\) \(a_{40}=-0.577848847\)
\(a_{41}=-0.219174745\) \(a_{42}=-0.042521454\) \(a_{43}=-1.171150449\) \(a_{44}=+0.384234691\) \(a_{45}=+0.970512116\)
\(a_{46}=+1.157933370\) \(a_{47}=+1.177706761\) \(a_{48}=+0.359216022\) \(a_{49}=-0.997394105\) \(a_{50}=+1.433272109\)
\(a_{51}=-0.383697479\) \(a_{52}=-1.822390057\) \(a_{53}=-1.596207613\) \(a_{54}=+1.411826755\) \(a_{55}=-0.421079065\)
\(a_{56}=+0.021121886\) \(a_{57}=-0.193485543\) \(a_{58}=-1.602133715\) \(a_{59}=-1.650207719\) \(a_{60}=+0.982998288\)
\(a_{61}=+0.956928397\) \(a_{62}=+2.204692249\) \(a_{63}=-0.035474755\) \(a_{64}=-1.452797396\) \(a_{65}=+1.997139559\)
\(a_{66}=-0.251150089\) \(a_{67}=+0.885161315\) \(a_{68}=+0.885282759\) \(a_{69}=-0.424085672\) \(a_{70}=-0.107514799\)
\(a_{71}=-0.633120196\) \(a_{72}=-0.287537987\) \(a_{73}=-0.497873838\) \(a_{74}=-2.025908279\) \(a_{75}=-0.524926720\)
\(a_{76}=+0.446417880\) \(a_{77}=+0.015391540\) \(a_{78}=+1.191181941\) \(a_{79}=-0.065997000\) \(a_{80}=+0.908271813\)
\(a_{81}=+0.177857358\) \(a_{82}=-0.330537193\) \(a_{83}=+0.674484095\) \(a_{84}=-0.035931157\) \(a_{85}=-0.970172775\)
\(a_{86}=-1.766210706\) \(a_{87}=+0.586771201\) \(a_{88}=+0.124754987\) \(a_{89}=-1.148071074\) \(a_{90}=+1.463628257\)
\(a_{91}=-0.073000671\) \(a_{92}=+0.978468076\) \(a_{93}=-0.807454401\) \(a_{94}=+1.776098273\) \(a_{95}=-0.489225018\)
\(a_{96}=+0.770269021\) \(a_{97}=-0.112538231\) \(a_{98}=-1.504168956\) \(a_{99}=-0.209529235\) \(a_{100}=+1.211132730\)

Showing 100 of 546 available coefficients

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