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: \( 3.9787535254 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.493557409\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.549548872\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.854134969\) \(a_{12}=+0.000000000\) \(a_{13}=-1.013544798\) \(a_{14}=+0.000000000\) \(a_{15}=-0.284955503\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.911949730\) \(a_{18}=+0.000000000\) \(a_{19}=+1.373336912\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.894632458\) \(a_{22}=+0.000000000\) \(a_{23}=+1.369354444\) \(a_{24}=+0.000000000\) \(a_{25}=-0.756401084\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-0.088118376\) \(a_{30}=+0.000000000\)
\(a_{31}=-1.314354592\) \(a_{32}=+0.000000000\) \(a_{33}=-0.493135055\) \(a_{34}=+0.000000000\) \(a_{35}=+0.764791326\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.383825266\) \(a_{38}=+0.000000000\) \(a_{39}=+0.585170362\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.490025728\) \(a_{42}=+0.000000000\) \(a_{43}=-1.592102560\) \(a_{44}=+0.000000000\) \(a_{45}=+0.164519136\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.624502680\) \(a_{48}=+0.000000000\) \(a_{49}=+1.401101707\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.526514422\) \(a_{52}=+0.000000000\) \(a_{53}=-1.116692470\) \(a_{54}=+0.000000000\) \(a_{55}=+0.421564642\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.792896436\) \(a_{58}=+0.000000000\) \(a_{59}=-0.949010700\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.545174200\) \(a_{62}=+0.000000000\) \(a_{63}=+0.516516291\) \(a_{64}=+0.000000000\) \(a_{65}=-0.500242544\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.090684500\) \(a_{68}=+0.000000000\) \(a_{69}=-0.790597157\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.582189977\) \(a_{72}=+0.000000000\) \(a_{73}=+0.699559987\) \(a_{74}=+0.000000000\) \(a_{75}=+0.436708370\)
\(a_{76}=+0.000000000\) \(a_{77}=+1.323523878\) \(a_{78}=+0.000000000\) \(a_{79}=+0.044033000\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-0.691302000\) \(a_{84}=+0.000000000\) \(a_{85}=+0.450099546\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.050875168\) \(a_{88}=+0.000000000\) \(a_{89}=+0.485229999\) \(a_{90}=+0.000000000\)
\(a_{91}=-1.570537198\) \(a_{92}=+0.000000000\) \(a_{93}=+0.758842978\) \(a_{94}=+0.000000000\) \(a_{95}=+0.677820608\)
\(a_{96}=+0.000000000\) \(a_{97}=-1.303980000\) \(a_{98}=+0.000000000\) \(a_{99}=+0.284711656\) \(a_{100}=+0.000000000\)

Showing 100 of 228 available coefficients

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