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: \( 10.983968955 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.381985847\) \(a_{3}=-1.428327907\) \(a_{4}=+0.909884883\) \(a_{5}=-0.447213595\)
\(a_{6}=+1.973928953\) \(a_{7}=+1.298322388\) \(a_{8}=+0.124537817\) \(a_{9}=+1.040120611\) \(a_{10}=+0.618042860\)
\(a_{11}=-1.267604404\) \(a_{12}=-1.299613970\) \(a_{13}=+0.630008901\) \(a_{14}=-1.794263166\) \(a_{15}=+0.638767659\)
\(a_{16}=-1.081994383\) \(a_{17}=+0.572799485\) \(a_{18}=-1.437431964\) \(a_{19}=+0.968570747\) \(a_{20}=-0.406912890\)
\(a_{21}=-1.854430099\) \(a_{22}=+1.751811346\) \(a_{23}=+0.248605904\) \(a_{24}=-0.177880840\) \(a_{25}=+0.200000000\)
\(a_{26}=-0.870663385\) \(a_{27}=-0.057305388\) \(a_{28}=+1.181323913\) \(a_{29}=-1.224277857\) \(a_{30}=-0.882767864\)
\(a_{31}=-0.186920397\) \(a_{32}=+1.370763107\) \(a_{33}=+1.810554745\) \(a_{34}=-0.791600781\) \(a_{35}=-0.580627423\)
\(a_{36}=+0.946390020\) \(a_{37}=-1.134672174\) \(a_{38}=-1.338551064\) \(a_{39}=-0.899859295\) \(a_{40}=-0.055695005\)
\(a_{41}=+1.272139844\) \(a_{42}=+2.562796152\) \(a_{43}=+0.278491405\) \(a_{44}=-1.153374084\) \(a_{45}=-0.465156078\)
\(a_{46}=-0.343569841\) \(a_{47}=-1.657339089\) \(a_{48}=+1.545442773\) \(a_{49}=+0.685641023\) \(a_{50}=-0.276397170\)
\(a_{51}=-0.818145489\) \(a_{52}=+0.573235574\) \(a_{53}=-0.725527972\) \(a_{54}=+0.079195235\) \(a_{55}=+0.566889920\)
\(a_{56}=+0.161690239\) \(a_{57}=-1.383436630\) \(a_{58}=+1.691934678\) \(a_{59}=-0.697154064\) \(a_{60}=+0.581205057\)
\(a_{61}=-0.064366324\) \(a_{62}=+0.258321355\) \(a_{63}=+1.350411903\) \(a_{64}=-0.812380897\) \(a_{65}=-0.281748546\)
\(a_{66}=-2.502161034\) \(a_{67}=+0.431400046\) \(a_{68}=+0.521181592\) \(a_{69}=-0.355090751\) \(a_{70}=+0.802418882\)
\(a_{71}=-0.697636417\) \(a_{72}=+0.129534350\) \(a_{73}=+0.207750540\) \(a_{74}=+1.568100886\) \(a_{75}=-0.285665581\)
\(a_{76}=+0.881287880\) \(a_{77}=-1.645759176\) \(a_{78}=+1.243592810\) \(a_{79}=+0.191134490\) \(a_{80}=+0.483882599\)
\(a_{81}=-0.958269726\) \(a_{82}=-1.758079261\) \(a_{83}=+1.050212706\) \(a_{84}=-1.687317912\) \(a_{85}=-0.256163718\)
\(a_{86}=-0.384871181\) \(a_{87}=+1.748670230\) \(a_{88}=-0.157864685\) \(a_{89}=-0.572124440\) \(a_{90}=+0.642839116\)
\(a_{91}=+0.817954663\) \(a_{92}=+0.226202752\) \(a_{93}=+0.266983612\) \(a_{94}=+2.290419166\) \(a_{95}=-0.433157996\)
\(a_{96}=-1.957899207\) \(a_{97}=+0.081513965\) \(a_{98}=-0.947546178\) \(a_{99}=-1.318461487\) \(a_{100}=+0.181976948\)

Showing 100 of 5000 available coefficients

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