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: \( 4.79956294778 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-0.305685455\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.830081762\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.387413242\) \(a_{12}=+0.000000000\) \(a_{13}=-0.890443692\) \(a_{14}=+0.000000000\) \(a_{15}=-0.176487580\)
\(a_{16}=+0.000000000\) \(a_{17}=-1.388600230\) \(a_{18}=+0.000000000\) \(a_{19}=+0.297470416\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.479247929\) \(a_{22}=+0.000000000\) \(a_{23}=+1.598111398\) \(a_{24}=+0.000000000\) \(a_{25}=-0.906556403\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=+1.046513929\) \(a_{30}=+0.000000000\)
\(a_{31}=-1.203263629\) \(a_{32}=+0.000000000\) \(a_{33}=-0.801023409\) \(a_{34}=+0.000000000\) \(a_{35}=+0.253743921\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.009321770\) \(a_{38}=+0.000000000\) \(a_{39}=-0.514097905\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.258737216\) \(a_{42}=+0.000000000\) \(a_{43}=+1.597394586\) \(a_{44}=+0.000000000\) \(a_{45}=-0.101895152\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.312787953\) \(a_{48}=+0.000000000\) \(a_{49}=-0.310964269\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.801708717\) \(a_{52}=+0.000000000\) \(a_{53}=+0.249278562\) \(a_{54}=+0.000000000\) \(a_{55}=+0.424112048\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.171744625\) \(a_{58}=+0.000000000\) \(a_{59}=-0.522494990\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.793064720\) \(a_{62}=+0.000000000\) \(a_{63}=-0.276693921\) \(a_{64}=+0.000000000\) \(a_{65}=+0.272195685\)
\(a_{66}=+0.000000000\) \(a_{67}=-1.167839920\) \(a_{68}=+0.000000000\) \(a_{69}=+0.922670046\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.233250180\) \(a_{72}=+0.000000000\) \(a_{73}=-1.479930500\) \(a_{74}=+0.000000000\) \(a_{75}=-0.523400583\)
\(a_{76}=+0.000000000\) \(a_{77}=+1.151666429\) \(a_{78}=+0.000000000\) \(a_{79}=+1.386527100\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-0.537202000\) \(a_{84}=+0.000000000\) \(a_{85}=+0.424474893\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.604205099\) \(a_{88}=+0.000000000\) \(a_{89}=+0.899027300\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.739141069\) \(a_{92}=+0.000000000\) \(a_{93}=-0.694704580\) \(a_{94}=+0.000000000\) \(a_{95}=-0.090932379\)
\(a_{96}=+0.000000000\) \(a_{97}=-1.309450001\) \(a_{98}=+0.000000000\) \(a_{99}=-0.462471081\) \(a_{100}=+0.000000000\)

Showing 100 of 222 available coefficients

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