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: \( 9.9324061969 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.782550259\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.203419989\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=+1.913064539\) \(a_{12}=+0.000000000\) \(a_{13}=-1.374015726\) \(a_{14}=+0.000000000\) \(a_{15}=+0.451805603\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.325251926\) \(a_{18}=+0.000000000\) \(a_{19}=+0.820185201\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.694794855\) \(a_{22}=+0.000000000\) \(a_{23}=-0.515287136\) \(a_{24}=+0.000000000\) \(a_{25}=-0.387615092\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-1.296380205\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.658083167\) \(a_{32}=+0.000000000\) \(a_{33}=+1.104508327\) \(a_{34}=+0.000000000\) \(a_{35}=+0.941736624\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.942617967\) \(a_{38}=+0.000000000\) \(a_{39}=-0.793288349\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.778504355\) \(a_{42}=+0.000000000\) \(a_{43}=+1.283768155\) \(a_{44}=+0.000000000\) \(a_{45}=+0.260850086\)
\(a_{46}=+0.000000000\) \(a_{47}=+0.246263250\) \(a_{48}=+0.000000000\) \(a_{49}=+0.448219671\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.765134556\) \(a_{52}=+0.000000000\) \(a_{53}=+1.229022314\) \(a_{54}=+0.000000000\) \(a_{55}=+1.497069151\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.473534146\) \(a_{58}=+0.000000000\) \(a_{59}=+0.774300760\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.354041078\) \(a_{62}=+0.000000000\) \(a_{63}=+0.401139996\) \(a_{64}=+0.000000000\) \(a_{65}=-1.075236362\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.829741310\) \(a_{68}=+0.000000000\) \(a_{69}=-0.297501167\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.172636954\) \(a_{72}=+0.000000000\) \(a_{73}=-0.185749988\) \(a_{74}=+0.000000000\) \(a_{75}=-0.223789678\)
\(a_{76}=+0.000000000\) \(a_{77}=+2.302220108\) \(a_{78}=+0.000000000\) \(a_{79}=+0.757800649\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-0.670282505\) \(a_{84}=+0.000000000\) \(a_{85}=+1.037076238\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.748465461\) \(a_{88}=+0.000000000\) \(a_{89}=+1.546286793\) \(a_{90}=+0.000000000\)
\(a_{91}=-1.653517990\) \(a_{92}=+0.000000000\) \(a_{93}=-0.379944494\) \(a_{94}=+0.000000000\) \(a_{95}=+0.641836141\)
\(a_{96}=+0.000000000\) \(a_{97}=-1.190774485\) \(a_{98}=+0.000000000\) \(a_{99}=+0.637688180\) \(a_{100}=+0.000000000\)

Showing 100 of 336 available coefficients

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