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: \( 5.43471654011 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.609227117\) \(a_{3}=+0.803805278\) \(a_{4}=+1.589611913\) \(a_{5}=+0.843055100\)
\(a_{6}=+1.293505249\) \(a_{7}=-0.176365128\) \(a_{8}=+0.948819478\) \(a_{9}=-0.353897076\) \(a_{10}=+1.356667128\)
\(a_{11}=+0.711273903\) \(a_{12}=+1.277738445\) \(a_{13}=+1.443841070\) \(a_{14}=-0.283811546\) \(a_{15}=+0.677652139\)
\(a_{16}=-0.062745880\) \(a_{17}=-0.371036434\) \(a_{18}=-0.569500771\) \(a_{19}=-0.993205253\) \(a_{20}=+1.340130430\)
\(a_{21}=-0.141763221\) \(a_{22}=+1.144601252\) \(a_{23}=+0.208514414\) \(a_{24}=+0.762666104\) \(a_{25}=-0.289258099\)
\(a_{26}=+2.323468202\) \(a_{27}=-1.088269615\) \(a_{28}=-0.280352108\) \(a_{29}=-0.628134949\) \(a_{30}=+1.090496197\)
\(a_{31}=+0.022522800\) \(a_{32}=-1.049791849\) \(a_{33}=+0.571725717\) \(a_{34}=-0.597081891\) \(a_{35}=-0.148685521\)
\(a_{36}=-0.562559008\) \(a_{37}=-1.579470256\) \(a_{38}=-1.598292825\) \(a_{39}=+1.160567072\) \(a_{40}=+0.799907100\)
\(a_{41}=+1.316264539\) \(a_{42}=-0.228129219\) \(a_{43}=+1.198846390\) \(a_{44}=+1.130649469\) \(a_{45}=-0.298354735\)
\(a_{46}=+0.335547049\) \(a_{47}=-0.013838795\) \(a_{48}=-0.050435469\) \(a_{49}=-0.968895342\) \(a_{50}=-0.465481976\)
\(a_{51}=-0.298241044\) \(a_{52}=+2.295146965\) \(a_{53}=-0.670799593\) \(a_{54}=-1.751272974\) \(a_{55}=+0.599643091\)
\(a_{56}=-0.167338669\) \(a_{57}=-0.798343624\) \(a_{58}=-1.010811793\) \(a_{59}=-0.631934959\) \(a_{60}=+1.077203912\)
\(a_{61}=+1.675194857\) \(a_{62}=+0.036244301\) \(a_{63}=+0.062415103\) \(a_{64}=-1.626607631\) \(a_{65}=+1.217237578\)
\(a_{66}=+0.920036527\) \(a_{67}=+1.362636885\) \(a_{68}=-0.589803936\) \(a_{69}=+0.167604986\) \(a_{70}=-0.239268771\)
\(a_{71}=-1.655172301\) \(a_{72}=-0.335784439\) \(a_{73}=+1.087032260\) \(a_{74}=-2.541726365\) \(a_{75}=-0.232507186\)
\(a_{76}=-1.578810901\) \(a_{77}=-0.125443913\) \(a_{78}=+1.867616003\) \(a_{79}=-0.142228756\) \(a_{80}=-0.052898234\)
\(a_{81}=-0.520859784\) \(a_{82}=+2.118168589\) \(a_{83}=+0.267246818\) \(a_{84}=-0.225348504\) \(a_{85}=-0.312804158\)
\(a_{86}=+1.929216120\) \(a_{87}=-0.504898187\) \(a_{88}=+0.674870533\) \(a_{89}=+1.874440178\) \(a_{90}=-0.480120529\)
\(a_{91}=-0.254643215\) \(a_{92}=+0.331456997\) \(a_{93}=+0.018103946\) \(a_{94}=-0.022269763\) \(a_{95}=-0.837326753\)
\(a_{96}=-0.843828229\) \(a_{97}=+0.485794738\) \(a_{98}=-1.559172657\) \(a_{99}=-0.251717754\) \(a_{100}=-0.459808119\)

Showing 100 of 546 available coefficients

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