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: \( 12.7159021442 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.866170938\) \(a_{3}=-0.694209139\) \(a_{4}=+2.482593970\) \(a_{5}=+0.447213596\)
\(a_{6}=-1.295512921\) \(a_{7}=+0.415511907\) \(a_{8}=+2.766773779\) \(a_{9}=-0.518073671\) \(a_{10}=+0.834577015\)
\(a_{11}=+1.777584381\) \(a_{12}=-1.723439423\) \(a_{13}=+0.199544649\) \(a_{14}=+0.775416245\) \(a_{15}=-0.310459765\)
\(a_{16}=+2.680678849\) \(a_{17}=+0.494372985\) \(a_{18}=-0.966814029\) \(a_{19}=+0.263046664\) \(a_{20}=+1.110249776\)
\(a_{21}=-0.288452164\) \(a_{22}=+3.317276311\) \(a_{23}=-0.669562176\) \(a_{24}=-1.920719644\) \(a_{25}=+0.200000000\)
\(a_{26}=+0.372384424\) \(a_{27}=+1.053860616\) \(a_{28}=+1.031547354\) \(a_{29}=-1.498955593\) \(a_{30}=-0.579370991\)
\(a_{31}=-0.226421880\) \(a_{32}=+2.235831183\) \(a_{33}=-1.234015323\) \(a_{34}=+0.922584497\) \(a_{35}=+0.185822574\)
\(a_{36}=-1.286166572\) \(a_{37}=-0.652398037\) \(a_{38}=+0.490890041\) \(a_{39}=-0.138525719\) \(a_{40}=+1.237338850\)
\(a_{41}=-0.662791133\) \(a_{42}=-0.538301044\) \(a_{43}=-1.549010970\) \(a_{44}=+4.413020265\) \(a_{45}=-0.231689589\)
\(a_{46}=-1.249517473\) \(a_{47}=+0.345271706\) \(a_{48}=-1.860951756\) \(a_{49}=-0.827349855\) \(a_{50}=+0.373234187\)
\(a_{51}=-0.343198244\) \(a_{52}=+0.495388342\) \(a_{53}=-0.223405792\) \(a_{54}=+1.966684055\) \(a_{55}=+0.794959902\)
\(a_{56}=+1.149627451\) \(a_{57}=-0.182609401\) \(a_{58}=-2.797307368\) \(a_{59}=-0.266647117\) \(a_{60}=-0.770745539\)
\(a_{61}=+0.948830550\) \(a_{62}=-0.422541937\) \(a_{63}=-0.215265727\) \(a_{64}=+1.491764287\) \(a_{65}=+0.089239038\)
\(a_{66}=-2.302883484\) \(a_{67}=+0.996252924\) \(a_{68}=+1.227327391\) \(a_{69}=+0.464816182\) \(a_{70}=+0.346776687\)
\(a_{71}=-0.022263759\) \(a_{72}=-1.433392649\) \(a_{73}=+0.515382961\) \(a_{74}=-1.217486256\) \(a_{75}=-0.138841828\)
\(a_{76}=+0.653038063\) \(a_{77}=+0.738607475\) \(a_{78}=-0.258512671\) \(a_{79}=+0.254402433\) \(a_{80}=+1.198836027\)
\(a_{81}=-0.213526001\) \(a_{82}=-1.236881550\) \(a_{83}=-0.907393842\) \(a_{84}=-0.716109601\) \(a_{85}=+0.221090319\)
\(a_{86}=-2.890719254\) \(a_{87}=+1.040588673\) \(a_{88}=+4.918173854\) \(a_{89}=+0.754080617\) \(a_{90}=-0.432372376\)
\(a_{91}=+0.082913178\) \(a_{92}=-1.662251023\) \(a_{93}=+0.157184140\) \(a_{94}=+0.644336030\) \(a_{95}=+0.117638040\)
\(a_{96}=-1.552134450\) \(a_{97}=+0.275894971\) \(a_{98}=-1.543976248\) \(a_{99}=-0.920919690\) \(a_{100}=+0.496518796\)

Showing 100 of 5000 available coefficients

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