Properties

Level $29$
Weight $0$
Character 29.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 29 \)
Weight: \( 0 \)
Character: 29.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 1.79784901838 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.607695689\) \(a_{3}=+1.222462861\) \(a_{4}=-0.630705950\) \(a_{5}=-0.299756184\)
\(a_{6}=-0.742885410\) \(a_{7}=+1.023498323\) \(a_{8}=+0.990972975\) \(a_{9}=+0.494415447\) \(a_{10}=+0.182160541\)
\(a_{11}=+1.225947833\) \(a_{12}=-0.771014600\) \(a_{13}=-1.085433428\) \(a_{14}=-0.621975518\) \(a_{15}=-0.366440803\)
\(a_{16}=+0.028495945\) \(a_{17}=-0.386341324\) \(a_{18}=-0.300454136\) \(a_{19}=-0.984940233\) \(a_{20}=+0.189058009\)
\(a_{21}=+1.251188688\) \(a_{22}=-0.745003213\) \(a_{23}=+1.824126920\) \(a_{24}=+1.211427659\) \(a_{25}=-0.910146230\)
\(a_{26}=+0.659613214\) \(a_{27}=-0.618058339\) \(a_{28}=-0.645526482\) \(a_{29}=-0.185695338\) \(a_{30}=+0.222684496\)
\(a_{31}=-0.059781694\) \(a_{32}=-1.008289840\) \(a_{33}=+1.498675697\) \(a_{34}=+0.234777957\) \(a_{35}=-0.306799953\)
\(a_{36}=-0.311830765\) \(a_{37}=+1.343215289\) \(a_{38}=+0.598543932\) \(a_{39}=-1.326902056\) \(a_{40}=-0.297050247\)
\(a_{41}=+1.179972142\) \(a_{42}=-0.760341949\) \(a_{43}=+0.393647525\) \(a_{44}=-0.773212664\) \(a_{45}=-0.148204079\)
\(a_{46}=-1.108514012\) \(a_{47}=-1.140165014\) \(a_{48}=+0.034835199\) \(a_{49}=+0.047548898\) \(a_{50}=+0.553091944\)
\(a_{51}=-0.472287900\) \(a_{52}=+0.684589280\) \(a_{53}=-0.241992478\) \(a_{54}=+0.375591369\) \(a_{55}=-0.367485509\)
\(a_{56}=+1.014259201\) \(a_{57}=-1.204052833\) \(a_{58}=+0.112846295\) \(a_{59}=+0.339721117\) \(a_{60}=+0.231116408\)
\(a_{61}=+0.730212122\) \(a_{62}=+0.036329080\) \(a_{63}=+0.506033394\) \(a_{64}=+0.584237447\) \(a_{65}=+0.325365348\)
\(a_{66}=-0.910738724\) \(a_{67}=-0.134289278\) \(a_{68}=+0.243667782\) \(a_{69}=+2.229927427\) \(a_{70}=+0.186440977\)
\(a_{71}=-1.027500907\) \(a_{72}=+0.489952332\) \(a_{73}=-1.666525683\) \(a_{74}=-0.816266148\) \(a_{75}=-1.112620052\)
\(a_{76}=+0.621207660\) \(a_{77}=+1.254755589\) \(a_{78}=+0.806352714\) \(a_{79}=+0.833237434\) \(a_{80}=-0.008541797\)
\(a_{81}=-1.249968895\) \(a_{82}=-0.717064106\) \(a_{83}=+0.345302548\) \(a_{84}=-0.789131989\) \(a_{85}=+0.115808365\)
\(a_{86}=-0.239218016\) \(a_{87}=-0.227005552\) \(a_{88}=+1.214881217\) \(a_{89}=-0.473379096\) \(a_{90}=+0.090063021\)
\(a_{91}=-1.110939305\) \(a_{92}=-1.150487621\) \(a_{93}=-0.073080917\) \(a_{94}=+0.692873309\) \(a_{95}=+0.295241925\)
\(a_{96}=-1.232596982\) \(a_{97}=-1.388126724\) \(a_{98}=-0.028895228\) \(a_{99}=+0.606127561\) \(a_{100}=+0.574034530\)

Showing 100 of 1500 available coefficients

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