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: \( 4.10322180991 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.528780380\) \(a_{3}=-1.039397385\) \(a_{4}=+1.337169450\) \(a_{5}=+0.447213595\)
\(a_{6}=-1.589010329\) \(a_{7}=+0.325465122\) \(a_{8}=+0.515458041\) \(a_{9}=+0.080346924\) \(a_{10}=+0.683691370\)
\(a_{11}=-0.505080680\) \(a_{12}=-1.389850432\) \(a_{13}=+0.904185692\) \(a_{14}=+0.497564731\) \(a_{15}=-0.464832642\)
\(a_{16}=-0.549147311\) \(a_{17}=+1.062248635\) \(a_{18}=+0.122832801\) \(a_{19}=-0.362635443\) \(a_{20}=+0.598000358\)
\(a_{21}=-0.338287597\) \(a_{22}=-0.772157436\) \(a_{23}=-0.478839211\) \(a_{24}=-0.535765739\) \(a_{25}=+0.200000000\)
\(a_{26}=+1.382301354\) \(a_{27}=+0.955885002\) \(a_{28}=+0.435202019\) \(a_{29}=+0.114312350\) \(a_{30}=-0.710627023\)
\(a_{31}=-1.813704098\) \(a_{32}=-1.354983676\) \(a_{33}=+0.524979540\) \(a_{34}=+1.623944871\) \(a_{35}=+0.145552428\)
\(a_{36}=+0.107437452\) \(a_{37}=+0.581222600\) \(a_{38}=-0.554389950\) \(a_{39}=-0.939808249\) \(a_{40}=+0.230519843\)
\(a_{41}=+1.779680921\) \(a_{42}=-0.517167442\) \(a_{43}=-0.212400105\) \(a_{44}=-0.675378456\) \(a_{45}=+0.035932238\)
\(a_{46}=-0.732039990\) \(a_{47}=+0.514815065\) \(a_{48}=+0.570782272\) \(a_{49}=-0.894072453\) \(a_{50}=+0.305756082\)
\(a_{51}=-1.104098500\) \(a_{52}=+1.209049409\) \(a_{53}=-0.730505463\) \(a_{54}=+1.461338258\) \(a_{55}=-0.225878951\)
\(a_{56}=+0.167762487\) \(a_{57}=+0.376921377\) \(a_{58}=+0.174758477\) \(a_{59}=+0.839066122\) \(a_{60}=-0.621560008\)
\(a_{61}=+0.319629373\) \(a_{62}=-2.772755240\) \(a_{63}=+0.026150122\) \(a_{64}=-1.522325147\) \(a_{65}=+0.404364136\)
\(a_{66}=+0.802578420\) \(a_{67}=+0.263157371\) \(a_{68}=+1.420406424\) \(a_{69}=+0.497704224\) \(a_{70}=+0.222517696\)
\(a_{71}=+0.280532318\) \(a_{72}=+0.041415467\) \(a_{73}=-0.684396776\) \(a_{74}=+0.888561708\) \(a_{75}=-0.207879476\)
\(a_{76}=-0.484905036\) \(a_{77}=-0.164386137\) \(a_{78}=-1.436760418\) \(a_{79}=-0.479034179\) \(a_{80}=-0.245586133\)
\(a_{81}=-1.073891300\) \(a_{82}=+2.720741269\) \(a_{83}=+0.629646138\) \(a_{84}=-0.452347757\) \(a_{85}=+0.475052057\)
\(a_{86}=-0.324712654\) \(a_{87}=-0.118815748\) \(a_{88}=-0.260348584\) \(a_{89}=-1.238941066\) \(a_{90}=+0.054931948\)
\(a_{91}=+0.294281935\) \(a_{92}=-0.640290665\) \(a_{93}=+1.885161423\) \(a_{94}=+0.787033413\) \(a_{95}=-0.162180984\)
\(a_{96}=+1.408364004\) \(a_{97}=-0.548731480\) \(a_{98}=-1.366840421\) \(a_{99}=-0.040581677\) \(a_{100}=+0.267433883\)

Showing 100 of 5000 available coefficients

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