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: \( 4.89723501573 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.785242769\) \(a_{3}=-0.227850168\) \(a_{4}=-0.383393793\) \(a_{5}=-0.447213595\)
\(a_{6}=+0.178917697\) \(a_{7}=-0.239857568\) \(a_{8}=+1.086299973\) \(a_{9}=-0.948084301\) \(a_{10}=+0.351171243\)
\(a_{11}=-1.144369744\) \(a_{12}=+0.087356341\) \(a_{13}=+1.344290553\) \(a_{14}=+0.188346421\) \(a_{15}=+0.101897693\)
\(a_{16}=-0.469615406\) \(a_{17}=-1.462606725\) \(a_{18}=+0.744476342\) \(a_{19}=-0.058901907\) \(a_{20}=+0.171458917\)
\(a_{21}=+0.054651587\) \(a_{22}=+0.898608066\) \(a_{23}=-0.109868297\) \(a_{24}=-0.247513632\) \(a_{25}=+0.200000000\)
\(a_{26}=-1.055594433\) \(a_{27}=+0.443871336\) \(a_{28}=+0.091959903\) \(a_{29}=-0.626163845\) \(a_{30}=-0.080014427\)
\(a_{31}=+0.721326827\) \(a_{32}=-0.717537871\) \(a_{33}=+0.260744839\) \(a_{34}=+1.148501355\) \(a_{35}=+0.107267566\)
\(a_{36}=+0.363489635\) \(a_{37}=-0.763063602\) \(a_{38}=+0.046252298\) \(a_{39}=-0.306296827\) \(a_{40}=-0.485808116\)
\(a_{41}=-0.857661719\) \(a_{42}=-0.042914764\) \(a_{43}=+0.084169736\) \(a_{44}=+0.438744260\) \(a_{45}=+0.423996194\)
\(a_{46}=+0.086273300\) \(a_{47}=+1.679607306\) \(a_{48}=+0.107001927\) \(a_{49}=-0.942468350\) \(a_{50}=-0.157048585\)
\(a_{51}=+0.333255219\) \(a_{52}=-0.515392580\) \(a_{53}=-0.971562661\) \(a_{54}=-0.348546969\) \(a_{55}=+0.511777459\)
\(a_{56}=-0.260557416\) \(a_{57}=+0.013421157\) \(a_{58}=+0.491690632\) \(a_{59}=+0.014222271\) \(a_{60}=-0.039066943\)
\(a_{61}=+0.516753353\) \(a_{62}=-0.566416677\) \(a_{63}=+0.227405195\) \(a_{64}=+1.033056832\) \(a_{65}=-0.601185009\)
\(a_{66}=-0.204748000\) \(a_{67}=+0.295122636\) \(a_{68}=+0.560754340\) \(a_{69}=+0.025033505\) \(a_{70}=-0.084231082\)
\(a_{71}=-0.596344396\) \(a_{72}=-1.029903948\) \(a_{73}=-0.687536191\) \(a_{74}=+0.599190186\) \(a_{75}=-0.045570036\)
\(a_{76}=+0.022582611\) \(a_{77}=+0.274485740\) \(a_{78}=+0.240517381\) \(a_{79}=-0.887119587\) \(a_{80}=+0.210018398\)
\(a_{81}=+0.846948174\) \(a_{82}=+0.673472631\) \(a_{83}=+0.496411630\) \(a_{84}=-0.020953096\) \(a_{85}=+0.654097649\)
\(a_{86}=-0.066093696\) \(a_{87}=+0.142671617\) \(a_{88}=-1.243128728\) \(a_{89}=-0.432882933\) \(a_{90}=-0.332940117\)
\(a_{91}=-0.322438339\) \(a_{92}=+0.042122822\) \(a_{93}=-0.164354440\) \(a_{94}=-1.318899496\) \(a_{95}=+0.026341737\)
\(a_{96}=+0.163491122\) \(a_{97}=+1.047236959\) \(a_{98}=+0.740066457\) \(a_{99}=+1.084958982\) \(a_{100}=-0.076678758\)

Showing 100 of 5000 available coefficients

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