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: \( 10.5004431507 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.766305226\) \(a_{3}=+1.477593683\) \(a_{4}=+2.119834150\) \(a_{5}=+0.447213595\)
\(a_{6}=-2.609881443\) \(a_{7}=+0.445677641\) \(a_{8}=-1.977968911\) \(a_{9}=+1.183283092\) \(a_{10}=-0.789915711\)
\(a_{11}=+0.552395632\) \(a_{12}=+3.132253548\) \(a_{13}=-0.962610125\) \(a_{14}=-0.787202746\) \(a_{15}=+0.660799984\)
\(a_{16}=+1.373862673\) \(a_{17}=+1.196891647\) \(a_{18}=-2.090039107\) \(a_{19}=+0.181556185\) \(a_{20}=+0.948018655\)
\(a_{21}=+0.658530473\) \(a_{22}=-0.975699292\) \(a_{23}=+1.485674208\) \(a_{24}=-2.922634367\) \(a_{25}=+0.199951172\)
\(a_{26}=+1.700263295\) \(a_{27}=+0.270817938\) \(a_{28}=+0.944762683\) \(a_{29}=-0.442036571\) \(a_{30}=-1.167174464\)
\(a_{31}=-0.058677674\) \(a_{32}=-0.448691908\) \(a_{33}=+0.816216297\) \(a_{34}=-2.114075971\) \(a_{35}=+0.199313100\)
\(a_{36}=+2.508363906\) \(a_{37}=+1.492817584\) \(a_{38}=-0.320683642\) \(a_{39}=-1.422346640\) \(a_{40}=-0.884574588\)
\(a_{41}=+0.409500151\) \(a_{42}=-1.163165805\) \(a_{43}=+0.162604017\) \(a_{44}=+1.170987126\) \(a_{45}=+0.529180286\)
\(a_{46}=-2.624154118\) \(a_{47}=+1.152170223\) \(a_{48}=+2.030010807\) \(a_{49}=-0.801371440\) \(a_{50}=-0.353261045\)
\(a_{51}=+1.768519537\) \(a_{52}=-2.040573817\) \(a_{53}=+0.398589774\) \(a_{54}=-0.478347140\) \(a_{55}=+0.247038836\)
\(a_{56}=-0.881536518\) \(a_{57}=+0.268266276\) \(a_{58}=+0.780771505\) \(a_{59}=-0.371633088\) \(a_{60}=+1.400786372\)
\(a_{61}=-1.649340823\) \(a_{62}=+0.103642686\) \(a_{63}=+0.527362823\) \(a_{64}=-0.581335815\) \(a_{65}=-0.430492332\)
\(a_{66}=-1.441687096\) \(a_{67}=+0.924411774\) \(a_{68}=+2.537211788\) \(a_{69}=+2.195222825\) \(a_{70}=-0.352047771\)
\(a_{71}=+0.452337994\) \(a_{72}=-2.340497168\) \(a_{73}=-1.905949689\) \(a_{74}=-2.636771500\) \(a_{75}=+0.295518737\)
\(a_{76}=+0.384869006\) \(a_{77}=+0.246190382\) \(a_{78}=+2.512298303\) \(a_{79}=+0.844252082\) \(a_{80}=+0.614410066\)
\(a_{81}=-0.783124217\) \(a_{82}=-0.723302257\) \(a_{83}=+0.130539971\) \(a_{84}=+1.395975373\) \(a_{85}=+0.535266217\)
\(a_{86}=-0.287208324\) \(a_{87}=-0.653150445\) \(a_{88}=-1.092621387\) \(a_{89}=-0.878842473\) \(a_{90}=-0.934693904\)
\(a_{91}=-0.429013810\) \(a_{92}=+3.149382922\) \(a_{93}=-0.086701760\) \(a_{94}=-2.035084286\) \(a_{95}=+0.081194397\)
\(a_{96}=-0.662984329\) \(a_{97}=+0.700301701\) \(a_{98}=+1.415466564\) \(a_{99}=+0.653640411\) \(a_{100}=+0.423966830\)

Showing 100 of 5000 available coefficients

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