Properties

Level $24$
Weight $0$
Character 24.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 24 = 2^{3} \cdot 3 \)
Weight: \( 0 \)
Character: 24.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 1.91464670089 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+1.546699108\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.318433544\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.550683334\) \(a_{12}=+0.000000000\) \(a_{13}=-1.024773738\) \(a_{14}=+0.000000000\) \(a_{15}=-0.892987146\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.432714512\) \(a_{18}=+0.000000000\) \(a_{19}=+1.085289121\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.183847693\) \(a_{22}=+0.000000000\) \(a_{23}=-0.205216667\) \(a_{24}=+0.000000000\) \(a_{25}=+1.392278129\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=+0.809592397\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.819129312\) \(a_{32}=+0.000000000\) \(a_{33}=-0.317937171\) \(a_{34}=+0.000000000\) \(a_{35}=-0.492520879\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.742809426\) \(a_{38}=+0.000000000\) \(a_{39}=+0.591653393\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.159208786\) \(a_{42}=+0.000000000\) \(a_{43}=+0.444380566\) \(a_{44}=+0.000000000\) \(a_{45}=+0.515566371\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.354072944\) \(a_{48}=+0.000000000\) \(a_{49}=-0.898600081\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.249827846\) \(a_{52}=+0.000000000\) \(a_{53}=+1.165269347\) \(a_{54}=+0.000000000\) \(a_{55}=+0.851741434\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.626591966\) \(a_{58}=+0.000000000\) \(a_{59}=+1.362797075\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.873214689\) \(a_{62}=+0.000000000\) \(a_{63}=-0.106144254\) \(a_{64}=+0.000000000\) \(a_{65}=-1.585016566\)
\(a_{66}=+0.000000000\) \(a_{67}=-1.149251779\) \(a_{68}=+0.000000000\) \(a_{69}=+0.118482043\) \(a_{70}=+0.000000000\)
\(a_{71}=-1.886114544\) \(a_{72}=+0.000000000\) \(a_{73}=+1.510473168\) \(a_{74}=+0.000000000\) \(a_{75}=-0.803825660\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.175360639\) \(a_{78}=+0.000000000\) \(a_{79}=+0.475682374\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.110969830\) \(a_{82}=+0.000000000\) \(a_{83}=+0.479824110\) \(a_{84}=+0.000000000\) \(a_{85}=-0.669166369\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.466849015\) \(a_{88}=+0.000000000\) \(a_{89}=+0.587176826\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.326322024\) \(a_{92}=+0.000000000\) \(a_{93}=+0.472935181\) \(a_{94}=+0.000000000\) \(a_{95}=+1.678625943\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.484648095\) \(a_{98}=+0.000000000\) \(a_{99}=+0.183536828\) \(a_{100}=+0.000000000\)

Showing 100 of 2000 available coefficients

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