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: \( 9.18784576952 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.063848127\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.630553816\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.698014886\) \(a_{12}=+0.000000000\) \(a_{13}=-0.158286621\) \(a_{14}=+0.000000000\) \(a_{15}=-0.036862733\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.240749620\) \(a_{18}=+0.000000000\) \(a_{19}=-1.265167469\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.941400684\) \(a_{22}=+0.000000000\) \(a_{23}=+0.026241233\) \(a_{24}=+0.000000000\) \(a_{25}=-0.995923417\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=+0.032215455\) \(a_{30}=+0.000000000\)
\(a_{31}=+1.350756011\) \(a_{32}=+0.000000000\) \(a_{33}=+0.402999083\) \(a_{34}=+0.000000000\) \(a_{35}=+0.104107806\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.892165721\) \(a_{38}=+0.000000000\) \(a_{39}=+0.091386823\) \(a_{40}=+0.000000000\)
\(a_{41}=+1.661561722\) \(a_{42}=+0.000000000\) \(a_{43}=+1.395409761\) \(a_{44}=+0.000000000\) \(a_{45}=+0.021282709\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.102614217\) \(a_{48}=+0.000000000\) \(a_{49}=+1.658705745\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.716347127\) \(a_{52}=+0.000000000\) \(a_{53}=+1.023971631\) \(a_{54}=+0.000000000\) \(a_{55}=-0.044566943\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.730444779\) \(a_{58}=+0.000000000\) \(a_{59}=-0.601582897\) \(a_{60}=+0.000000000\)
\(a_{61}=-1.240917818\) \(a_{62}=+0.000000000\) \(a_{63}=+0.543517939\) \(a_{64}=+0.000000000\) \(a_{65}=-0.010106304\)
\(a_{66}=+0.000000000\) \(a_{67}=+1.458404007\) \(a_{68}=+0.000000000\) \(a_{69}=-0.015150383\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.017397007\) \(a_{72}=+0.000000000\) \(a_{73}=+0.052670522\) \(a_{74}=+0.000000000\) \(a_{75}=+0.574996653\)
\(a_{76}=+0.000000000\) \(a_{77}=-1.138150836\) \(a_{78}=+0.000000000\) \(a_{79}=+1.275602863\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+1.130722294\) \(a_{84}=+0.000000000\) \(a_{85}=+0.079219539\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.018599602\) \(a_{88}=+0.000000000\) \(a_{89}=-1.301027873\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.258094854\) \(a_{92}=+0.000000000\) \(a_{93}=-0.779859347\) \(a_{94}=+0.000000000\) \(a_{95}=-0.080778573\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.048528326\) \(a_{98}=+0.000000000\) \(a_{99}=-0.232671629\) \(a_{100}=+0.000000000\)

Showing 100 of 336 available coefficients

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