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: \( 13.6473942985 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.110880281\) \(a_{3}=-0.174257540\) \(a_{4}=+0.234055000\) \(a_{5}=-0.447213595\)
\(a_{6}=-0.193579265\) \(a_{7}=+1.835411651\) \(a_{8}=-0.850873198\) \(a_{9}=-0.969634310\) \(a_{10}=-0.496800765\)
\(a_{11}=-0.755428449\) \(a_{12}=-0.040785848\) \(a_{13}=-1.056719324\) \(a_{14}=+2.038922612\) \(a_{15}=+0.077930341\)
\(a_{16}=-1.179273257\) \(a_{17}=-0.333701030\) \(a_{18}=-1.077147635\) \(a_{19}=-0.198960724\) \(a_{20}=-0.104672578\)
\(a_{21}=-0.319834318\) \(a_{22}=-0.839190568\) \(a_{23}=-1.524748874\) \(a_{24}=+0.148271075\) \(a_{25}=+0.200000000\)
\(a_{26}=-1.173888660\) \(a_{27}=+0.343223629\) \(a_{28}=+0.429587273\) \(a_{29}=-0.926167866\) \(a_{30}=+0.086571279\)
\(a_{31}=+0.578486739\) \(a_{32}=-0.459158210\) \(a_{33}=+0.131639103\) \(a_{34}=-0.370701894\) \(a_{35}=-0.820821044\)
\(a_{36}=-0.226947758\) \(a_{37}=+1.126374878\) \(a_{38}=-0.221021545\) \(a_{39}=+0.184141309\) \(a_{40}=+0.380522062\)
\(a_{41}=+0.522330066\) \(a_{42}=-0.355297638\) \(a_{43}=-0.573897187\) \(a_{44}=-0.176811805\) \(a_{45}=+0.433633646\)
\(a_{46}=-1.693813457\) \(a_{47}=-0.465395206\) \(a_{48}=+0.205497256\) \(a_{49}=+2.368735929\) \(a_{50}=+0.222176056\)
\(a_{51}=+0.058149920\) \(a_{52}=-0.247330441\) \(a_{53}=-0.489021051\) \(a_{54}=+0.381280361\) \(a_{55}=+0.337837874\)
\(a_{56}=-1.561702581\) \(a_{57}=+0.034670407\) \(a_{58}=-1.028861627\) \(a_{59}=+0.270148482\) \(a_{60}=+0.018239984\)
\(a_{61}=+1.806641462\) \(a_{62}=+0.642629513\) \(a_{63}=-1.779678134\) \(a_{64}=+0.669203474\) \(a_{65}=+0.472579172\)
\(a_{66}=+0.146235417\) \(a_{67}=-0.283591094\) \(a_{68}=-0.078104394\) \(a_{69}=+0.265698987\) \(a_{70}=-0.911833912\)
\(a_{71}=-0.493399347\) \(a_{72}=+0.825035846\) \(a_{73}=-0.805267653\) \(a_{74}=+1.251267641\) \(a_{75}=-0.034851508\)
\(a_{76}=-0.046567752\) \(a_{77}=-1.386522177\) \(a_{78}=+0.204558949\) \(a_{79}=-0.657882161\) \(a_{80}=+0.527387033\)
\(a_{81}=+0.909825006\) \(a_{82}=+0.580246171\) \(a_{83}=+0.289166986\) \(a_{84}=-0.074858823\) \(a_{85}=+0.149235637\)
\(a_{86}=-0.637531072\) \(a_{87}=+0.161391733\) \(a_{88}=+0.642773827\) \(a_{89}=-0.362758837\) \(a_{90}=+0.481715069\)
\(a_{91}=-1.939514967\) \(a_{92}=-0.356875105\) \(a_{93}=-0.100805684\) \(a_{94}=-0.516998350\) \(a_{95}=+0.088977961\)
\(a_{96}=+0.080011809\) \(a_{97}=-0.502682371\) \(a_{98}=+2.631381958\) \(a_{99}=+0.732489355\) \(a_{100}=+0.046810929\)

Showing 100 of 5000 available coefficients

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