Properties

Level $23$
Weight $0$
Character 23.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 23 \)
Weight: \( 0 \)
Character: 23.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 2.8079149467 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.241786697\) \(a_{3}=+0.980992472\) \(a_{4}=+0.542034202\) \(a_{5}=+0.067801344\)
\(a_{6}=+1.218183402\) \(a_{7}=-0.093651199\) \(a_{8}=-0.568695836\) \(a_{9}=-0.037653769\) \(a_{10}=+0.084194808\)
\(a_{11}=-0.756702146\) \(a_{12}=+0.531731471\) \(a_{13}=+0.571588843\) \(a_{14}=-0.116294813\) \(a_{15}=+0.066512608\)
\(a_{16}=-1.248233126\) \(a_{17}=+1.780185828\) \(a_{18}=-0.046757950\) \(a_{19}=+1.220828992\) \(a_{20}=+0.036750648\)
\(a_{21}=-0.091871121\) \(a_{22}=-0.939662659\) \(a_{23}=+0.208514414\) \(a_{24}=-0.557886334\) \(a_{25}=-0.995402978\)
\(a_{26}=+0.709791421\) \(a_{27}=-1.017930537\) \(a_{28}=-0.050762153\) \(a_{29}=-0.695785796\) \(a_{30}=+0.082594472\)
\(a_{31}=+0.894563823\) \(a_{32}=-0.981343455\) \(a_{33}=-0.742319109\) \(a_{34}=+2.210611079\) \(a_{35}=-0.006349677\)
\(a_{36}=-0.020409631\) \(a_{37}=-0.045452300\) \(a_{38}=+1.516009202\) \(a_{39}=+0.560724352\) \(a_{40}=-0.038558342\)
\(a_{41}=+0.929939212\) \(a_{42}=-0.114084336\) \(a_{43}=-0.084671720\) \(a_{44}=-0.410158444\) \(a_{45}=-0.002552976\)
\(a_{46}=+0.258930426\) \(a_{47}=-1.791674781\) \(a_{48}=-1.224507300\) \(a_{49}=-0.991229453\) \(a_{50}=-1.236078176\)
\(a_{51}=+1.746348896\) \(a_{52}=+0.309820702\) \(a_{53}=+0.569834551\) \(a_{54}=-1.264052599\) \(a_{55}=-0.051305423\)
\(a_{56}=+0.053259047\) \(a_{57}=+1.197624051\) \(a_{58}=-0.864017545\) \(a_{59}=+1.246256715\) \(a_{60}=+0.036052109\)
\(a_{61}=-0.309064581\) \(a_{62}=+1.110857455\) \(a_{63}=+0.003526321\) \(a_{64}=+0.029613879\) \(a_{65}=+0.038754492\)
\(a_{66}=-0.921801995\) \(a_{67}=-1.218802586\) \(a_{68}=+0.964921604\) \(a_{69}=+0.204551071\) \(a_{70}=-0.007884945\)
\(a_{71}=+0.758780038\) \(a_{72}=+0.021413542\) \(a_{73}=-0.861143561\) \(a_{74}=-0.056442061\) \(a_{75}=-0.976482828\)
\(a_{76}=+0.661731068\) \(a_{77}=+0.070866063\) \(a_{78}=+0.696300041\) \(a_{79}=+0.170019313\) \(a_{80}=-0.084631884\)
\(a_{81}=-0.960928424\) \(a_{82}=+1.154786143\) \(a_{83}=+1.936826503\) \(a_{84}=-0.049797290\) \(a_{85}=+0.120698992\)
\(a_{86}=-0.105144216\) \(a_{87}=-0.682560628\) \(a_{88}=+0.430333360\) \(a_{89}=-0.894492573\) \(a_{90}=-0.003170252\)
\(a_{91}=-0.053529981\) \(a_{92}=+0.113021944\) \(a_{93}=+0.877560376\) \(a_{94}=-2.224877909\) \(a_{95}=+0.082773847\)
\(a_{96}=-0.962690542\) \(a_{97}=-1.623728065\) \(a_{98}=-1.230895549\) \(a_{99}=+0.028492688\) \(a_{100}=-0.539542458\)

Showing 100 of 546 available coefficients

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