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: \( 7.55376238846 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.213545666\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.423634012\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.625305227\) \(a_{12}=+0.000000000\) \(a_{13}=+0.362524341\) \(a_{14}=+0.000000000\) \(a_{15}=-0.123290647\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.225757127\) \(a_{18}=+0.000000000\) \(a_{19}=-0.362535914\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.244585211\) \(a_{22}=+0.000000000\) \(a_{23}=-1.045507838\) \(a_{24}=+0.000000000\) \(a_{25}=-0.954398249\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-1.936291671\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.414434532\) \(a_{32}=+0.000000000\) \(a_{33}=-0.361020141\) \(a_{34}=+0.000000000\) \(a_{35}=-0.090465207\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.389019784\) \(a_{38}=+0.000000000\) \(a_{39}=-0.209303526\) \(a_{40}=+0.000000000\)
\(a_{41}=+1.527142803\) \(a_{42}=+0.000000000\) \(a_{43}=-1.400996402\) \(a_{44}=+0.000000000\) \(a_{45}=+0.071181889\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.769151886\) \(a_{48}=+0.000000000\) \(a_{49}=-0.820534224\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.707691207\) \(a_{52}=+0.000000000\) \(a_{53}=-0.138057940\) \(a_{54}=+0.000000000\) \(a_{55}=+0.133531221\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.209310207\) \(a_{58}=+0.000000000\) \(a_{59}=-0.167300124\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.699479383\) \(a_{62}=+0.000000000\) \(a_{63}=-0.141211337\) \(a_{64}=+0.000000000\) \(a_{65}=+0.077415502\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.073279819\) \(a_{68}=+0.000000000\) \(a_{69}=+0.603624232\) \(a_{70}=+0.000000000\)
\(a_{71}=-1.698590673\) \(a_{72}=+0.000000000\) \(a_{73}=+0.895291297\) \(a_{74}=+0.000000000\) \(a_{75}=+0.551022086\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.264900562\) \(a_{78}=+0.000000000\) \(a_{79}=-1.287412264\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-1.135473579\) \(a_{84}=+0.000000000\) \(a_{85}=+0.261755121\)
\(a_{86}=+0.000000000\) \(a_{87}=+1.117918518\) \(a_{88}=+0.000000000\) \(a_{89}=-0.858262335\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.153577641\) \(a_{92}=+0.000000000\) \(a_{93}=+0.239273889\) \(a_{94}=+0.000000000\) \(a_{95}=-0.077417972\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.541057856\) \(a_{98}=+0.000000000\) \(a_{99}=+0.208435076\) \(a_{100}=+0.000000000\)

Showing 100 of 276 available coefficients

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