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: \( 9.9008050601 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-0.053263129\)
\(a_{6}=+0.000000000\) \(a_{7}=-1.562344194\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.039084279\) \(a_{12}=+0.000000000\) \(a_{13}=-1.124661420\) \(a_{14}=+0.000000000\) \(a_{15}=+0.030751482\)
\(a_{16}=+0.000000000\) \(a_{17}=-1.098759503\) \(a_{18}=+0.000000000\) \(a_{19}=+1.134711407\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.902019841\) \(a_{22}=+0.000000000\) \(a_{23}=-1.245276026\) \(a_{24}=+0.000000000\) \(a_{25}=-0.997163039\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.959898186\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.428778182\) \(a_{32}=+0.000000000\) \(a_{33}=+0.022565319\) \(a_{34}=+0.000000000\) \(a_{35}=+0.083215341\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.135606317\) \(a_{38}=+0.000000000\) \(a_{39}=+0.649323573\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.726225925\) \(a_{42}=+0.000000000\) \(a_{43}=+0.268688155\) \(a_{44}=+0.000000000\) \(a_{45}=-0.017754376\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.559059908\) \(a_{48}=+0.000000000\) \(a_{49}=+1.440919382\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.634369095\) \(a_{52}=+0.000000000\) \(a_{53}=+1.620397490\) \(a_{54}=+0.000000000\) \(a_{55}=+0.002081751\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.655125936\) \(a_{58}=+0.000000000\) \(a_{59}=+0.571539739\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.909247758\) \(a_{62}=+0.000000000\) \(a_{63}=-0.520781398\) \(a_{64}=+0.000000000\) \(a_{65}=+0.059902987\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.973707781\) \(a_{68}=+0.000000000\) \(a_{69}=+0.718960449\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.535998922\) \(a_{72}=+0.000000000\) \(a_{73}=-0.890831170\) \(a_{74}=+0.000000000\) \(a_{75}=+0.575712349\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.061063096\) \(a_{78}=+0.000000000\) \(a_{79}=+1.657391388\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-0.290339425\) \(a_{84}=+0.000000000\) \(a_{85}=+0.058523369\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.554197476\) \(a_{88}=+0.000000000\) \(a_{89}=-0.740371228\) \(a_{90}=+0.000000000\)
\(a_{91}=+1.757108240\) \(a_{92}=+0.000000000\) \(a_{93}=-0.247555199\) \(a_{94}=+0.000000000\) \(a_{95}=-0.060438280\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.846734958\) \(a_{98}=+0.000000000\) \(a_{99}=-0.013028093\) \(a_{100}=+0.000000000\)

Showing 100 of 346 available coefficients

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