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: \( 11.2834406791 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.391461531\) \(a_{3}=-0.944902292\) \(a_{4}=+0.936165193\) \(a_{5}=+0.447213595\)
\(a_{6}=-1.314795190\) \(a_{7}=-0.513258033\) \(a_{8}=-0.088823678\) \(a_{9}=-0.107159659\) \(a_{10}=+0.622280514\)
\(a_{11}=-1.671640149\) \(a_{12}=-0.884584637\) \(a_{13}=+0.378579271\) \(a_{14}=-0.714178808\) \(a_{15}=-0.422573151\)
\(a_{16}=-1.059759925\) \(a_{17}=-1.201227940\) \(a_{18}=-0.149108543\) \(a_{19}=+0.962143877\) \(a_{20}=+0.418665802\)
\(a_{21}=+0.484978691\) \(a_{22}=-2.326022961\) \(a_{23}=-0.112990479\) \(a_{24}=+0.083929697\) \(a_{25}=+0.199951172\)
\(a_{26}=+0.526778492\) \(a_{27}=+1.046157699\) \(a_{28}=-0.480494305\) \(a_{29}=-1.095602283\) \(a_{30}=-0.587994284\)
\(a_{31}=+1.964753692\) \(a_{32}=-1.385791489\) \(a_{33}=+1.579536608\) \(a_{34}=-1.671462470\) \(a_{35}=-0.229535970\)
\(a_{36}=-0.100319143\) \(a_{37}=+0.256729941\) \(a_{38}=+1.338786196\) \(a_{39}=-0.357720421\) \(a_{40}=-0.039723157\)
\(a_{41}=-0.551531208\) \(a_{42}=+0.674829191\) \(a_{43}=+0.913324728\) \(a_{44}=-1.564931320\) \(a_{45}=-0.047923261\)
\(a_{46}=-0.157221905\) \(a_{47}=-0.981133142\) \(a_{48}=+1.001369566\) \(a_{49}=-0.736566183\) \(a_{50}=+0.278292336\)
\(a_{51}=+1.135042966\) \(a_{52}=+0.354412758\) \(a_{53}=-0.151535315\) \(a_{54}=+1.455687995\) \(a_{55}=-0.747580162\)
\(a_{56}=+0.045589838\) \(a_{57}=-0.909132519\) \(a_{58}=-1.524488431\) \(a_{59}=-0.384303771\) \(a_{60}=-0.395598276\)
\(a_{61}=-0.333397485\) \(a_{62}=+2.733879182\) \(a_{63}=+0.055000556\) \(a_{64}=-0.868515623\) \(a_{65}=+0.169305796\)
\(a_{66}=+2.197864427\) \(a_{67}=-0.733457720\) \(a_{68}=-1.124547787\) \(a_{69}=+0.106764963\) \(a_{70}=-0.319390471\)
\(a_{71}=+0.666417149\) \(a_{72}=+0.009518314\) \(a_{73}=-1.846311788\) \(a_{74}=+0.357229836\) \(a_{75}=-0.188980455\)
\(a_{76}=+0.900725610\) \(a_{77}=+0.857982741\) \(a_{78}=-0.497754199\) \(a_{79}=+0.469923281\) \(a_{80}=-0.473939071\)
\(a_{81}=-0.881357146\) \(a_{82}=-0.767434454\) \(a_{83}=+0.496662914\) \(a_{84}=+0.454020197\) \(a_{85}=-0.537205451\)
\(a_{86}=+1.270856215\) \(a_{87}=+1.035236965\) \(a_{88}=+0.148481203\) \(a_{89}=+0.242224683\) \(a_{90}=-0.066683368\)
\(a_{91}=-0.194308859\) \(a_{92}=-0.105777756\) \(a_{93}=-1.856500265\) \(a_{94}=-1.365209035\) \(a_{95}=+0.430283831\)
\(a_{96}=+1.309437567\) \(a_{97}=-0.420335268\) \(a_{98}=-1.024903548\) \(a_{99}=+0.179132375\) \(a_{100}=+0.187233055\)

Showing 100 of 5000 available coefficients

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