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: \( 11.6005386371 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.151009381\) \(a_{3}=+1.323381339\) \(a_{4}=+0.324822596\) \(a_{5}=+0.447213596\)
\(a_{6}=+1.523224336\) \(a_{7}=+1.546110189\) \(a_{8}=-0.777135526\) \(a_{9}=+0.751338167\) \(a_{10}=+0.514747044\)
\(a_{11}=-0.814786412\) \(a_{12}=+0.429864161\) \(a_{13}=+0.942222330\) \(a_{14}=+1.779587333\) \(a_{15}=+0.591834126\)
\(a_{16}=-1.219312877\) \(a_{17}=+1.123944310\) \(a_{18}=+0.864797280\) \(a_{19}=-0.332257583\) \(a_{20}=+0.145265081\)
\(a_{21}=+2.046093372\) \(a_{22}=-0.937826804\) \(a_{23}=-0.248289802\) \(a_{24}=-1.028446653\) \(a_{25}=+0.199951172\)
\(a_{26}=+1.084506741\) \(a_{27}=-0.329074429\) \(a_{28}=+0.502211525\) \(a_{29}=-0.127434768\) \(a_{30}=+0.681206632\)
\(a_{31}=-0.540584168\) \(a_{32}=-0.626305034\) \(a_{33}=-1.078273132\) \(a_{34}=+1.293670446\) \(a_{35}=+0.691441497\)
\(a_{36}=+0.244051614\) \(a_{37}=-1.650114711\) \(a_{38}=-0.382431596\) \(a_{39}=+1.246919447\) \(a_{40}=-0.347545573\)
\(a_{41}=+0.123312573\) \(a_{42}=+2.355072666\) \(a_{43}=-1.742446666\) \(a_{44}=-0.264661037\) \(a_{45}=+0.336008639\)
\(a_{46}=-0.285783888\) \(a_{47}=-1.202038348\) \(a_{48}=-1.613615912\) \(a_{49}=+1.390456724\) \(a_{50}=+0.230201880\)
\(a_{51}=+1.487406906\) \(a_{52}=+0.306055107\) \(a_{53}=+1.019905897\) \(a_{54}=-0.378767793\) \(a_{55}=-0.364383497\)
\(a_{56}=-1.201537166\) \(a_{57}=-0.439703621\) \(a_{58}=-0.146678509\) \(a_{59}=+0.245446377\) \(a_{60}=+0.192241097\)
\(a_{61}=-0.592058210\) \(a_{62}=-0.622217449\) \(a_{63}=+1.161651597\) \(a_{64}=+0.498429908\) \(a_{65}=+0.421374635\)
\(a_{66}=-1.241102492\) \(a_{67}=+0.823047515\) \(a_{68}=+0.365082509\) \(a_{69}=-0.328582089\) \(a_{70}=+0.795855654\)
\(a_{71}=-0.153999060\) \(a_{72}=-0.583891587\) \(a_{73}=+0.823049635\) \(a_{74}=-1.899297514\) \(a_{75}=+0.264676270\)
\(a_{76}=-0.107924765\) \(a_{77}=-1.259749556\) \(a_{78}=+1.435215980\) \(a_{79}=+1.233408110\) \(a_{80}=-0.545293328\)
\(a_{81}=-1.186829126\) \(a_{82}=+0.141933958\) \(a_{83}=+0.805013631\) \(a_{84}=+0.664617410\) \(a_{85}=+0.502643188\)
\(a_{86}=-2.005572569\) \(a_{87}=-0.168644968\) \(a_{88}=+0.633199569\) \(a_{89}=+0.704561548\) \(a_{90}=+0.386749097\)
\(a_{91}=+1.456779548\) \(a_{92}=-0.080650131\) \(a_{93}=-0.715399000\) \(a_{94}=-1.383557424\) \(a_{95}=-0.148590111\)
\(a_{96}=-0.828840391\) \(a_{97}=-1.548715914\) \(a_{98}=+1.600428727\) \(a_{99}=-0.612180112\) \(a_{100}=+0.064964527\)

Showing 100 of 5000 available coefficients

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