Properties

Level $23$
Weight $0$
Character 23.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 23 \)
Weight: \( 0 \)
Character: 23.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 4.43672242685 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.643656228\) \(a_{3}=+0.101088737\) \(a_{4}=+1.701605797\) \(a_{5}=+0.477433622\)
\(a_{6}=+0.166155132\) \(a_{7}=+1.971687745\) \(a_{8}=+1.153198738\) \(a_{9}=-0.989781067\) \(a_{10}=+0.784736747\)
\(a_{11}=-0.897524313\) \(a_{12}=+0.172013180\) \(a_{13}=+0.097366313\) \(a_{14}=+3.240776843\) \(a_{15}=+0.048263162\)
\(a_{16}=+0.193856492\) \(a_{17}=+0.905969067\) \(a_{18}=-1.626859816\) \(a_{19}=-1.075718099\) \(a_{20}=+0.812403819\)
\(a_{21}=+0.199315423\) \(a_{22}=-1.475221426\) \(a_{23}=-0.208514414\) \(a_{24}=+0.116575404\) \(a_{25}=-0.772057137\)
\(a_{26}=+0.160036747\) \(a_{27}=-0.201144454\) \(a_{28}=+3.355035297\) \(a_{29}=-0.229815718\) \(a_{30}=+0.079328046\)
\(a_{31}=+0.106680225\) \(a_{32}=-0.834565308\) \(a_{33}=-0.090729599\) \(a_{34}=+1.489101700\) \(a_{35}=+0.941350022\)
\(a_{36}=-1.684217202\) \(a_{37}=+0.770210980\) \(a_{38}=-1.768110754\) \(a_{39}=+0.009842638\) \(a_{40}=+0.550575851\)
\(a_{41}=+0.129829934\) \(a_{42}=+0.327606037\) \(a_{43}=-1.506800090\) \(a_{44}=-1.527232573\) \(a_{45}=-0.472554760\)
\(a_{46}=-0.342726015\) \(a_{47}=+0.641431686\) \(a_{48}=+0.019596708\) \(a_{49}=+2.887552564\) \(a_{50}=-1.268996521\)
\(a_{51}=+0.091583268\) \(a_{52}=+0.165679083\) \(a_{53}=+0.766774139\) \(a_{54}=-0.330612335\) \(a_{55}=-0.428508283\)
\(a_{56}=+2.273747820\) \(a_{57}=-0.108742984\) \(a_{58}=-0.377738036\) \(a_{59}=+0.986421821\) \(a_{60}=+0.082124876\)
\(a_{61}=-1.686993018\) \(a_{62}=+0.175345616\) \(a_{63}=-1.951539201\) \(a_{64}=-1.565594959\) \(a_{65}=+0.046485952\)
\(a_{66}=-0.149128270\) \(a_{67}=+1.119908910\) \(a_{68}=+1.541602217\) \(a_{69}=-0.021078459\) \(a_{70}=+1.547255826\)
\(a_{71}=+0.275167658\) \(a_{72}=-1.141414278\) \(a_{73}=+0.924509900\) \(a_{74}=+1.265962074\) \(a_{75}=-0.078046281\)
\(a_{76}=-1.830448153\) \(a_{77}=-1.769637688\) \(a_{78}=+0.016177913\) \(a_{79}=+0.581577572\) \(a_{80}=+0.092553607\)
\(a_{81}=+0.969447629\) \(a_{82}=+0.213395779\) \(a_{83}=-1.329107581\) \(a_{84}=+0.339156280\) \(a_{85}=+0.432540093\)
\(a_{86}=-2.476661353\) \(a_{87}=-0.023231781\) \(a_{88}=-1.035023905\) \(a_{89}=+1.590124445\) \(a_{90}=-0.776717575\)
\(a_{91}=+0.191975967\) \(a_{92}=-0.354809336\) \(a_{93}=+0.010784169\) \(a_{94}=+1.054293186\) \(a_{95}=-0.513583988\)
\(a_{96}=-0.084365153\) \(a_{97}=-1.205267148\) \(a_{98}=+4.746143757\) \(a_{99}=+0.888352572\) \(a_{100}=-1.313736899\)

Showing 100 of 546 available coefficients

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