Properties

Level $5$
Weight $0$
Character 5.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 12.3141719404 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.672484484\) \(a_{3}=-0.359776163\) \(a_{4}=+1.797204366\) \(a_{5}=+0.447213595\)
\(a_{6}=+0.601720056\) \(a_{7}=-0.576987747\) \(a_{8}=-1.333311941\) \(a_{9}=-0.870561108\) \(a_{10}=-0.747957800\)
\(a_{11}=-1.265785781\) \(a_{12}=-0.646591292\) \(a_{13}=+0.671521361\) \(a_{14}=+0.965003066\) \(a_{15}=-0.160896785\)
\(a_{16}=+0.432739158\) \(a_{17}=+1.313861697\) \(a_{18}=+1.455999909\) \(a_{19}=-1.728228375\) \(a_{20}=+0.803734229\)
\(a_{21}=+0.207586441\) \(a_{22}=+2.117007086\) \(a_{23}=-1.068097899\) \(a_{24}=+0.479693853\) \(a_{25}=+0.199999999\)
\(a_{26}=-1.123109065\) \(a_{27}=+0.672983302\) \(a_{28}=-1.036964904\) \(a_{29}=+0.744803965\) \(a_{30}=+0.269097389\)
\(a_{31}=+0.962739634\) \(a_{32}=+0.609562384\) \(a_{33}=+0.455399551\) \(a_{34}=-2.197413251\) \(a_{35}=-0.258036769\)
\(a_{36}=-1.564576232\) \(a_{37}=+0.284617093\) \(a_{38}=+2.890435140\) \(a_{39}=-0.241597381\) \(a_{40}=-0.596275218\)
\(a_{41}=+1.005775563\) \(a_{42}=-0.347185076\) \(a_{43}=+0.328506463\) \(a_{44}=-2.274875819\) \(a_{45}=-0.389326767\)
\(a_{46}=+1.786377166\) \(a_{47}=+0.307027687\) \(a_{48}=-0.155689241\) \(a_{49}=-0.667085142\) \(a_{50}=-0.334496898\)
\(a_{51}=-0.472696093\) \(a_{52}=+1.206861130\) \(a_{53}=+0.993703169\) \(a_{54}=-1.125554122\) \(a_{55}=-0.566076587\)
\(a_{56}=+0.769304628\) \(a_{57}=+0.621775355\) \(a_{58}=-1.245673023\) \(a_{59}=+1.192083422\) \(a_{60}=-0.289164432\)
\(a_{61}=+0.849233224\) \(a_{62}=-1.610167088\) \(a_{63}=+0.502303085\) \(a_{64}=-1.452222825\) \(a_{65}=+0.300313516\)
\(a_{66}=-0.761648667\) \(a_{67}=-0.631320669\) \(a_{68}=+2.361277917\) \(a_{69}=+0.384276177\) \(a_{70}=+0.431562477\)
\(a_{71}=+0.354833019\) \(a_{72}=+1.160729543\) \(a_{73}=-0.579826349\) \(a_{74}=-0.476017704\) \(a_{75}=-0.071955219\)
\(a_{76}=-3.105979532\) \(a_{77}=+0.730342878\) \(a_{78}=+0.404067819\) \(a_{79}=-0.447373833\) \(a_{80}=+0.193526889\)
\(a_{81}=+0.628437632\) \(a_{82}=-1.682144083\) \(a_{83}=+1.808326647\) \(a_{84}=+0.373075169\) \(a_{85}=+0.587576564\)
\(a_{86}=-0.549421713\) \(a_{87}=-0.267962590\) \(a_{88}=+1.687686911\) \(a_{89}=-0.076268331\) \(a_{90}=+0.651143046\)
\(a_{91}=-0.387459576\) \(a_{92}=-1.919590338\) \(a_{93}=-0.346370812\) \(a_{94}=-0.513498895\) \(a_{95}=-0.772887204\)
\(a_{96}=-0.219306209\) \(a_{97}=+0.607426244\) \(a_{98}=+1.115689637\) \(a_{99}=+1.101943857\) \(a_{100}=+0.359440878\)

Showing 100 of 5000 available coefficients

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