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: \( 2.61095996203 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.863533805\) \(a_{3}=+0.404770671\) \(a_{4}=+2.472758241\) \(a_{5}=-1.309083491\)
\(a_{6}=-0.754303829\) \(a_{7}=+0.284931123\) \(a_{8}=-2.744534769\) \(a_{9}=-0.836160704\) \(a_{10}=+2.439521338\)
\(a_{11}=+0.635770573\) \(a_{12}=+1.000900013\) \(a_{13}=-1.231438280\) \(a_{14}=-0.530978779\) \(a_{15}=-0.529878603\)
\(a_{16}=+2.641775078\) \(a_{17}=-1.230868927\) \(a_{18}=+1.558213737\) \(a_{19}=+0.804240866\) \(a_{20}=-3.237046990\)
\(a_{21}=+0.115331762\) \(a_{22}=-1.184779956\) \(a_{23}=+0.208514414\) \(a_{24}=-1.110907181\) \(a_{25}=+0.713699586\)
\(a_{26}=+2.294826864\) \(a_{27}=-0.743224001\) \(a_{28}=+0.704565781\) \(a_{29}=-0.523756691\) \(a_{30}=+0.987446690\)
\(a_{31}=+0.094647751\) \(a_{32}=-2.178502394\) \(a_{33}=+0.257341282\) \(a_{34}=+2.293765855\) \(a_{35}=-0.372998629\)
\(a_{36}=-2.067623271\) \(a_{37}=-0.990984045\) \(a_{38}=-1.498730041\) \(a_{39}=-0.498450099\) \(a_{40}=+3.592825156\)
\(a_{41}=+1.483984064\) \(a_{42}=-0.214924637\) \(a_{43}=-0.598016920\) \(a_{44}=+1.572106925\) \(a_{45}=+1.094604173\)
\(a_{46}=-0.388573659\) \(a_{47}=-0.150781926\) \(a_{48}=+1.069313072\) \(a_{49}=-0.918814255\) \(a_{50}=-1.330003305\)
\(a_{51}=-0.498219642\) \(a_{52}=-3.045049156\) \(a_{53}=+0.080834044\) \(a_{54}=+1.385023050\) \(a_{55}=-0.832276762\)
\(a_{56}=-0.782003372\) \(a_{57}=+0.325533115\) \(a_{58}=+0.976038300\) \(a_{59}=+0.923451386\) \(a_{60}=-1.310261684\)
\(a_{61}=-0.241301981\) \(a_{62}=-0.176379283\) \(a_{63}=-0.238248208\) \(a_{64}=+1.417937777\) \(a_{65}=+1.612055523\)
\(a_{66}=-0.479564178\) \(a_{67}=-0.282793561\) \(a_{68}=-3.043641283\) \(a_{69}=+0.084400519\) \(a_{70}=+0.695095553\)
\(a_{71}=-0.826647166\) \(a_{72}=+2.294872123\) \(a_{73}=+1.032062201\) \(a_{74}=+1.846732268\) \(a_{75}=+0.288884661\)
\(a_{76}=+1.988693229\) \(a_{77}=+0.181150823\) \(a_{78}=+0.928878610\) \(a_{79}=-0.405391094\) \(a_{80}=-3.458304141\)
\(a_{81}=+0.535325426\) \(a_{82}=-2.765454469\) \(a_{83}=+0.416444221\) \(a_{84}=+0.285187564\) \(a_{85}=+1.611310192\)
\(a_{86}=+1.114424747\) \(a_{87}=-0.212001348\) \(a_{88}=-1.744894444\) \(a_{89}=-1.622246703\) \(a_{90}=-2.039831879\)
\(a_{91}=-0.350875092\) \(a_{92}=+0.515605736\) \(a_{93}=+0.038310634\) \(a_{94}=+0.280987217\) \(a_{95}=-1.052818440\)
\(a_{96}=-0.881793877\) \(a_{97}=-0.899381249\) \(a_{98}=+1.712241425\) \(a_{99}=-0.531606370\) \(a_{100}=+1.764806533\)

Showing 100 of 546 available coefficients

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