Properties

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

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Maass form invariants

Level: \( 24 = 2^{3} \cdot 3 \)
Weight: \( 0 \)
Character: 24.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 9.94690236058 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-1.886888448\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.038252365\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=+1.085916178\) \(a_{12}=+0.000000000\) \(a_{13}=+0.810659137\) \(a_{14}=+0.000000000\) \(a_{15}=+1.089395554\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.132172255\) \(a_{18}=+0.000000000\) \(a_{19}=-1.637376132\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.022085014\) \(a_{22}=+0.000000000\) \(a_{23}=-0.185535726\) \(a_{24}=+0.000000000\) \(a_{25}=+2.560348017\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.329559054\) \(a_{30}=+0.000000000\)
\(a_{31}=+1.105708517\) \(a_{32}=+0.000000000\) \(a_{33}=-0.626953998\) \(a_{34}=+0.000000000\) \(a_{35}=-0.072177947\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.455691459\) \(a_{38}=+0.000000000\) \(a_{39}=-0.468034271\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.796002169\) \(a_{42}=+0.000000000\) \(a_{43}=+0.638366153\) \(a_{44}=+0.000000000\) \(a_{45}=-0.628962816\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.406094077\) \(a_{48}=+0.000000000\) \(a_{49}=-0.998536757\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.653659956\) \(a_{52}=+0.000000000\) \(a_{53}=-1.949009037\) \(a_{54}=+0.000000000\) \(a_{55}=-2.049002693\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.945339551\) \(a_{58}=+0.000000000\) \(a_{59}=-0.651892013\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.620034760\) \(a_{62}=+0.000000000\) \(a_{63}=+0.012750788\) \(a_{64}=+0.000000000\) \(a_{65}=-1.529623361\)
\(a_{66}=+0.000000000\) \(a_{67}=-1.177631301\) \(a_{68}=+0.000000000\) \(a_{69}=+0.107119101\) \(a_{70}=+0.000000000\)
\(a_{71}=+1.400654161\) \(a_{72}=+0.000000000\) \(a_{73}=-0.255705799\) \(a_{74}=+0.000000000\) \(a_{75}=-1.478217617\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.041538863\) \(a_{78}=+0.000000000\) \(a_{79}=+1.084109847\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-0.719923184\) \(a_{84}=+0.000000000\) \(a_{85}=-2.136282750\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.190271008\) \(a_{88}=+0.000000000\) \(a_{89}=-1.059586457\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.031009630\) \(a_{92}=+0.000000000\) \(a_{93}=-0.638381110\) \(a_{94}=+0.000000000\) \(a_{95}=+3.089546110\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.079454251\) \(a_{98}=+0.000000000\) \(a_{99}=+0.361972059\) \(a_{100}=+0.000000000\)

Showing 100 of 330 available coefficients

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