Properties

Level $62$
Weight $0$
Character 62.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 62 = 2 \cdot 31 \)
Weight: \( 0 \)
Character: 62.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 1.95276627953 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+0.301839109\) \(a_{4}=+0.500000000\) \(a_{5}=-1.009558734\)
\(a_{6}=-0.213432481\) \(a_{7}=-0.222336336\) \(a_{8}=-0.353553391\) \(a_{9}=-0.908893152\) \(a_{10}=+0.713865827\)
\(a_{11}=-1.945813203\) \(a_{12}=+0.150919555\) \(a_{13}=+0.641271027\) \(a_{14}=+0.157215531\) \(a_{15}=-0.304724309\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.920327701\) \(a_{18}=+0.642684511\) \(a_{19}=+1.319080077\) \(a_{20}=-0.504779367\)
\(a_{21}=-0.067109802\) \(a_{22}=+1.375897711\) \(a_{23}=-0.934893850\) \(a_{24}=-0.106716241\) \(a_{25}=+0.019208837\)
\(a_{26}=-0.453447092\) \(a_{27}=-0.576178609\) \(a_{28}=-0.111168168\) \(a_{29}=-0.476376283\) \(a_{30}=+0.215472625\)
\(a_{31}=-0.179605302\) \(a_{32}=-0.176776695\) \(a_{33}=-0.587322524\) \(a_{34}=-0.650769958\) \(a_{35}=+0.224461590\)
\(a_{36}=-0.454446576\) \(a_{37}=+0.147584899\) \(a_{38}=-0.932730467\) \(a_{39}=+0.193560676\) \(a_{40}=+0.356932913\)
\(a_{41}=+1.343775498\) \(a_{42}=+0.047453796\) \(a_{43}=-0.390977733\) \(a_{44}=-0.972906602\) \(a_{45}=+0.917581020\)
\(a_{46}=+0.661069781\) \(a_{47}=-1.527304609\) \(a_{48}=+0.075459777\) \(a_{49}=-0.950566554\) \(a_{50}=-0.013582699\)
\(a_{51}=+0.277790894\) \(a_{52}=+0.320635514\) \(a_{53}=-0.426743303\) \(a_{54}=+0.407419802\) \(a_{55}=+1.964412714\)
\(a_{56}=+0.078607765\) \(a_{57}=+0.398149956\) \(a_{58}=+0.336848900\) \(a_{59}=+0.629675007\) \(a_{60}=-0.152362155\)
\(a_{61}=+0.033340342\) \(a_{62}=+0.127000127\) \(a_{63}=+0.202079973\) \(a_{64}=+0.125000000\) \(a_{65}=-0.647400766\)
\(a_{66}=+0.415299740\) \(a_{67}=-1.436041463\) \(a_{68}=+0.460163851\) \(a_{69}=-0.282187527\) \(a_{70}=-0.158718312\)
\(a_{71}=+0.402377139\) \(a_{72}=+0.321342256\) \(a_{73}=+0.028394198\) \(a_{74}=-0.104358283\) \(a_{75}=+0.005797978\)
\(a_{76}=+0.659540038\) \(a_{77}=+0.432624978\) \(a_{78}=-0.136868066\) \(a_{79}=-1.727688207\) \(a_{80}=-0.252389683\)
\(a_{81}=+0.734979914\) \(a_{82}=-0.950192767\) \(a_{83}=+1.101329833\) \(a_{84}=-0.033554901\) \(a_{85}=-0.929124869\)
\(a_{86}=+0.276463006\) \(a_{87}=-0.143788993\) \(a_{88}=+0.687948855\) \(a_{89}=-0.366469057\) \(a_{90}=-0.648827761\)
\(a_{91}=-0.142577851\) \(a_{92}=-0.467446925\) \(a_{93}=-0.054211904\) \(a_{94}=+1.079967446\) \(a_{95}=-1.331688812\)
\(a_{96}=-0.053358120\) \(a_{97}=+1.580152096\) \(a_{98}=+0.672152056\) \(a_{99}=+1.768536296\) \(a_{100}=+0.009604418\)

Showing 100 of 592 available coefficients

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