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: \( 11.87084943 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.902165044\) \(a_{3}=+1.110271365\) \(a_{4}=-0.186098233\) \(a_{5}=-0.447213596\)
\(a_{6}=-1.001648015\) \(a_{7}=+0.292620023\) \(a_{8}=+1.070056365\) \(a_{9}=+0.232702504\) \(a_{10}=+0.403460473\)
\(a_{11}=+1.126497952\) \(a_{12}=-0.206619539\) \(a_{13}=-1.476104104\) \(a_{14}=-0.263991556\) \(a_{15}=-0.496528449\)
\(a_{16}=-0.779269215\) \(a_{17}=-0.303002718\) \(a_{18}=-0.209936065\) \(a_{19}=-0.853517172\) \(a_{20}=+0.083225657\)
\(a_{21}=+0.324887633\) \(a_{22}=-1.016287075\) \(a_{23}=-1.286768823\) \(a_{24}=+1.188052941\) \(a_{25}=+0.199951172\)
\(a_{26}=+1.331689525\) \(a_{27}=-0.851908438\) \(a_{28}=-0.054456069\) \(a_{29}=-1.828493604\) \(a_{30}=+0.447950610\)
\(a_{31}=+0.261304409\) \(a_{32}=-0.367026919\) \(a_{33}=+1.250718418\) \(a_{34}=+0.273358461\) \(a_{35}=-0.130863653\)
\(a_{36}=-0.043305525\) \(a_{37}=-0.339582792\) \(a_{38}=+0.770013359\) \(a_{39}=-1.638876119\) \(a_{40}=-0.478543754\)
\(a_{41}=+1.100740381\) \(a_{42}=-0.293102265\) \(a_{43}=+0.066633028\) \(a_{44}=-0.209639278\) \(a_{45}=-0.104067724\)
\(a_{46}=+1.160877853\) \(a_{47}=+1.260140647\) \(a_{48}=-0.865200296\) \(a_{49}=-0.914373521\) \(a_{50}=-0.180433009\)
\(a_{51}=-0.336415243\) \(a_{52}=+0.274700370\) \(a_{53}=-0.407733113\) \(a_{54}=+0.768562013\) \(a_{55}=-0.503785191\)
\(a_{56}=+0.313119906\) \(a_{57}=-0.947635681\) \(a_{58}=+1.649603044\) \(a_{59}=-1.067950521\) \(a_{60}=+0.092403018\)
\(a_{61}=+0.482722067\) \(a_{62}=-0.235739868\) \(a_{63}=+0.068093388\) \(a_{64}=+1.110388404\) \(a_{65}=+0.660133824\)
\(a_{66}=-1.128354437\) \(a_{67}=-0.171555884\) \(a_{68}=+0.056388270\) \(a_{69}=-1.428662578\) \(a_{70}=+0.118060613\)
\(a_{71}=-1.643907623\) \(a_{72}=+0.249004795\) \(a_{73}=+1.728169203\) \(a_{74}=+0.306359724\) \(a_{75}=+0.222054273\)
\(a_{76}=+0.158838037\) \(a_{77}=+0.329635857\) \(a_{78}=+1.478536747\) \(a_{79}=-0.525833048\) \(a_{80}=+0.348499788\)
\(a_{81}=-1.178552050\) \(a_{82}=-0.993049495\) \(a_{83}=-0.152174976\) \(a_{84}=-0.060461012\) \(a_{85}=+0.135506938\)
\(a_{86}=-0.060113989\) \(a_{87}=-2.030124093\) \(a_{88}=+1.205416302\) \(a_{89}=+1.546997823\) \(a_{90}=+0.093886261\)
\(a_{91}=-0.431937599\) \(a_{92}=+0.239465408\) \(a_{93}=+0.290118802\) \(a_{94}=-1.136854855\) \(a_{95}=+0.381704462\)
\(a_{96}=-0.407499493\) \(a_{97}=+1.100163892\) \(a_{98}=+0.824915876\) \(a_{99}=+0.262138969\) \(a_{100}=-0.037219671\)

Showing 100 of 5000 available coefficients

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