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: \( 10.3070268656 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.245611638\) \(a_{3}=+0.943786729\) \(a_{4}=-0.939674923\) \(a_{5}=-0.447213596\)
\(a_{6}=+0.231805004\) \(a_{7}=+0.407064318\) \(a_{8}=-0.476406735\) \(a_{9}=-0.109266609\) \(a_{10}=-0.109840864\)
\(a_{11}=-1.435799768\) \(a_{12}=-0.886852723\) \(a_{13}=-0.405832773\) \(a_{14}=+0.099979734\) \(a_{15}=-0.422074257\)
\(a_{16}=+0.822663885\) \(a_{17}=-1.801282389\) \(a_{18}=-0.026837151\) \(a_{19}=-0.091600178\) \(a_{20}=+0.420235401\)
\(a_{21}=+0.384181902\) \(a_{22}=-0.352649133\) \(a_{23}=+0.469305628\) \(a_{24}=-0.449626354\) \(a_{25}=+0.199951172\)
\(a_{26}=-0.099677252\) \(a_{27}=-1.046911105\) \(a_{28}=-0.382508132\) \(a_{29}=+1.121637997\) \(a_{30}=-0.103666349\)
\(a_{31}=+1.067909466\) \(a_{32}=+0.678462559\) \(a_{33}=-1.355088767\) \(a_{34}=-0.442415918\) \(a_{35}=-0.182044697\)
\(a_{36}=+0.102675093\) \(a_{37}=+0.290539294\) \(a_{38}=-0.022498070\) \(a_{39}=-0.383019585\) \(a_{40}=+0.213055569\)
\(a_{41}=-0.214826643\) \(a_{42}=+0.094359546\) \(a_{43}=+0.099374773\) \(a_{44}=+1.349185037\) \(a_{45}=+0.048865513\)
\(a_{46}=+0.115266924\) \(a_{47}=-1.550458692\) \(a_{48}=+0.776419257\) \(a_{49}=-0.834298641\) \(a_{50}=+0.049122328\)
\(a_{51}=-1.700026414\) \(a_{52}=+0.381350880\) \(a_{53}=+1.822835050\) \(a_{54}=-0.257133551\) \(a_{55}=+0.642109177\)
\(a_{56}=-0.193928183\) \(a_{57}=-0.086451032\) \(a_{58}=+0.275487345\) \(a_{59}=+0.122157345\) \(a_{60}=+0.396612595\)
\(a_{61}=-1.136003801\) \(a_{62}=+0.262290993\) \(a_{63}=-0.044478538\) \(a_{64}=-0.656025585\) \(a_{65}=+0.181493934\)
\(a_{66}=-0.332825571\) \(a_{67}=-1.431391107\) \(a_{68}=+1.692619891\) \(a_{69}=+0.442924423\) \(a_{70}=-0.044712296\)
\(a_{71}=-0.507358516\) \(a_{72}=+0.052055349\) \(a_{73}=+1.134312405\) \(a_{74}=+0.071359832\) \(a_{75}=+0.188757346\)
\(a_{76}=+0.086074390\) \(a_{77}=-0.584462854\) \(a_{78}=-0.094074068\) \(a_{79}=+0.463137399\) \(a_{80}=-0.367906474\)
\(a_{81}=-0.878794199\) \(a_{82}=-0.052763924\) \(a_{83}=-0.937208508\) \(a_{84}=-0.361006099\) \(a_{85}=+0.805557974\)
\(a_{86}=+0.024407601\) \(a_{87}=+1.058587057\) \(a_{88}=+0.684024679\) \(a_{89}=-0.697797915\) \(a_{90}=+0.012001939\)
\(a_{91}=-0.165200041\) \(a_{92}=-0.440994730\) \(a_{93}=+1.007878782\) \(a_{94}=-0.380810699\) \(a_{95}=+0.040964845\)
\(a_{96}=+0.640323959\) \(a_{97}=+0.496249351\) \(a_{98}=-0.204913456\) \(a_{99}=+0.156884973\) \(a_{100}=-0.187934985\)

Showing 100 of 1228 available coefficients

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