Properties

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

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 9.39741755066 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.803125259\) \(a_{3}=-1.305973975\) \(a_{4}=+2.251260700\) \(a_{5}=+0.447213595\)
\(a_{6}=+2.354834662\) \(a_{7}=+0.024593419\) \(a_{8}=-2.256179774\) \(a_{9}=+0.705568023\) \(a_{10}=-0.806382130\)
\(a_{11}=+0.859951220\) \(a_{12}=-2.940087885\) \(a_{13}=+0.784384430\) \(a_{14}=-0.044345015\) \(a_{15}=-0.584049317\)
\(a_{16}=+1.816914040\) \(a_{17}=-1.184259519\) \(a_{18}=-1.272227524\) \(a_{19}=+0.684207141\) \(a_{20}=+1.006794392\)
\(a_{21}=-0.032118365\) \(a_{22}=-1.550599767\) \(a_{23}=-1.072887901\) \(a_{24}=+2.946512068\) \(a_{25}=+0.199951172\)
\(a_{26}=-1.414343378\) \(a_{27}=+0.384520500\) \(a_{28}=+0.055366198\) \(a_{29}=-0.750388839\) \(a_{30}=+1.053114076\)
\(a_{31}=-0.551294332\) \(a_{32}=-1.019943825\) \(a_{33}=-1.123073913\) \(a_{34}=+2.135368250\) \(a_{35}=+0.010998511\)
\(a_{36}=+1.588417561\) \(a_{37}=+0.865684800\) \(a_{38}=-1.233711178\) \(a_{39}=-1.024385652\) \(a_{40}=-1.008994269\)
\(a_{41}=-1.335916479\) \(a_{42}=+0.057913436\) \(a_{43}=+0.361021423\) \(a_{44}=+1.935974387\) \(a_{45}=+0.315539613\)
\(a_{46}=+1.934551274\) \(a_{47}=-0.207705118\) \(a_{48}=-2.372842453\) \(a_{49}=-0.999395161\) \(a_{50}=-0.360625060\)
\(a_{51}=+1.546612121\) \(a_{52}=+1.765853839\) \(a_{53}=-1.810833525\) \(a_{54}=-0.693338619\) \(a_{55}=+0.384581863\)
\(a_{56}=-0.055487136\) \(a_{57}=-0.893556833\) \(a_{58}=+1.353045246\) \(a_{59}=+1.069040020\) \(a_{60}=-1.314847129\)
\(a_{61}=-1.204550968\) \(a_{62}=+0.994052736\) \(a_{63}=+0.017352330\) \(a_{64}=+0.022172434\) \(a_{65}=+0.350787381\)
\(a_{66}=+2.025042941\) \(a_{67}=+0.031819370\) \(a_{68}=-2.666076911\) \(a_{69}=+1.401163677\) \(a_{70}=-0.019831694\)
\(a_{71}=-0.393255643\) \(a_{72}=-1.591888302\) \(a_{73}=+0.461040146\) \(a_{74}=-1.560938129\) \(a_{75}=-0.261194796\)
\(a_{76}=+1.540328648\) \(a_{77}=+0.021149141\) \(a_{78}=+1.847095642\) \(a_{79}=-0.518927715\) \(a_{80}=+0.812548663\)
\(a_{81}=-1.207741791\) \(a_{82}=+2.408824747\) \(a_{83}=-1.096522486\) \(a_{84}=-0.072306821\) \(a_{85}=-0.529616947\)
\(a_{86}=-0.650966857\) \(a_{87}=+0.979988297\) \(a_{88}=-1.940204540\) \(a_{89}=+0.857783483\) \(a_{90}=-0.568957439\)
\(a_{91}=+0.019290715\) \(a_{92}=-2.415350390\) \(a_{93}=+0.719976027\) \(a_{94}=+0.374518430\) \(a_{95}=+0.305986630\)
\(a_{96}=+1.332020177\) \(a_{97}=+1.245871696\) \(a_{98}=+1.802034572\) \(a_{99}=+0.606754270\) \(a_{100}=+0.450252141\)

Showing 100 of 5000 available coefficients

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