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: \( 13.5751469722 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.772647798\) \(a_{3}=+1.650918322\) \(a_{4}=+2.142280215\) \(a_{5}=-0.447213596\)
\(a_{6}=-2.926496728\) \(a_{7}=-0.379035774\) \(a_{8}=-2.024860507\) \(a_{9}=+1.725531307\) \(a_{10}=+0.792752195\)
\(a_{11}=-1.179380456\) \(a_{12}=+3.536729658\) \(a_{13}=-0.126776076\) \(a_{14}=+0.671896929\) \(a_{15}=-0.738313119\)
\(a_{16}=+1.447084303\) \(a_{17}=+0.221585298\) \(a_{18}=-3.058759271\) \(a_{19}=+0.435890516\) \(a_{20}=-0.958056838\)
\(a_{21}=-0.625757103\) \(a_{22}=+2.090626168\) \(a_{23}=-1.141887143\) \(a_{24}=-3.342879310\) \(a_{25}=+0.199951172\)
\(a_{26}=+0.224729331\) \(a_{27}=+1.197792928\) \(a_{28}=-0.812000838\) \(a_{29}=-0.343696378\) \(a_{30}=+1.308769124\)
\(a_{31}=-0.321240019\) \(a_{32}=-0.540310296\) \(a_{33}=-1.947060804\) \(a_{34}=-0.392792691\) \(a_{35}=+0.169509951\)
\(a_{36}=+3.696571579\) \(a_{37}=-1.301095252\) \(a_{38}=-0.772680364\) \(a_{39}=-0.209296946\) \(a_{40}=+0.905545148\)
\(a_{41}=-1.589671321\) \(a_{42}=+1.109246951\) \(a_{43}=+1.268670004\) \(a_{44}=-2.526563416\) \(a_{45}=-0.771681060\)
\(a_{46}=+2.024163730\) \(a_{47}=-1.496967190\) \(a_{48}=+2.389017990\) \(a_{49}=-0.856331882\) \(a_{50}=-0.354529560\)
\(a_{51}=+0.365819228\) \(a_{52}=-0.271589879\) \(a_{53}=+0.912264760\) \(a_{54}=-2.123264996\) \(a_{55}=+0.527434974\)
\(a_{56}=+0.767494568\) \(a_{57}=+0.719619640\) \(a_{58}=+0.609252627\) \(a_{59}=-0.663260511\) \(a_{60}=-1.581673587\)
\(a_{61}=-0.693998531\) \(a_{62}=+0.569445412\) \(a_{63}=-0.654038094\) \(a_{64}=-0.489304446\) \(a_{65}=+0.056695985\)
\(a_{66}=+3.451453046\) \(a_{67}=+1.895021687\) \(a_{68}=+0.474697800\) \(a_{69}=-1.885162407\) \(a_{70}=-0.300481442\)
\(a_{71}=-1.470129685\) \(a_{72}=-3.493960196\) \(a_{73}=-0.369043903\) \(a_{74}=+2.306383633\) \(a_{75}=+0.330183665\)
\(a_{76}=+0.933799629\) \(a_{77}=+0.447027383\) \(a_{78}=+0.371009771\) \(a_{79}=-0.693792522\) \(a_{80}=-0.647155774\)
\(a_{81}=+0.251926984\) \(a_{82}=+2.817927366\) \(a_{83}=-0.100925958\) \(a_{84}=-1.340547062\) \(a_{85}=-0.099095958\)
\(a_{86}=-2.248905088\) \(a_{87}=-0.567414647\) \(a_{88}=+2.388080907\) \(a_{89}=-1.087483331\) \(a_{90}=+1.367918732\)
\(a_{91}=+0.048052668\) \(a_{92}=-2.446242235\) \(a_{93}=-0.530341033\) \(a_{94}=+2.653595592\) \(a_{95}=-0.194936165\)
\(a_{96}=-0.892008168\) \(a_{97}=+0.434343463\) \(a_{98}=+1.517974825\) \(a_{99}=-2.035057900\) \(a_{100}=+0.428456043\)

Showing 100 of 1228 available coefficients

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