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: \( 9.10751520859 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+1.113131293\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.955945588\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.795148466\) \(a_{12}=+0.000000000\) \(a_{13}=+0.760318596\) \(a_{14}=+0.000000000\) \(a_{15}=-0.642666652\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.781451822\) \(a_{18}=+0.000000000\) \(a_{19}=-0.439610759\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.551915443\) \(a_{22}=+0.000000000\) \(a_{23}=+0.781399066\) \(a_{24}=+0.000000000\) \(a_{25}=+0.239061275\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=+1.783185303\) \(a_{30}=+0.000000000\)
\(a_{31}=-1.398460272\) \(a_{32}=+0.000000000\) \(a_{33}=+0.459079181\) \(a_{34}=+0.000000000\) \(a_{35}=-1.064092949\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.874421656\) \(a_{38}=+0.000000000\) \(a_{39}=-0.438970146\) \(a_{40}=+0.000000000\)
\(a_{41}=-1.656863169\) \(a_{42}=+0.000000000\) \(a_{43}=+0.274700510\) \(a_{44}=+0.000000000\) \(a_{45}=+0.371043764\)
\(a_{46}=+0.000000000\) \(a_{47}=+0.069798351\) \(a_{48}=+0.000000000\) \(a_{49}=-0.086168032\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.451171420\) \(a_{52}=+0.000000000\) \(a_{53}=-1.634928019\) \(a_{54}=+0.000000000\) \(a_{55}=-0.885104640\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.253809390\) \(a_{58}=+0.000000000\) \(a_{59}=-0.168316061\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.588804958\) \(a_{62}=+0.000000000\) \(a_{63}=-0.318648529\) \(a_{64}=+0.000000000\) \(a_{65}=+0.846334422\)
\(a_{66}=+0.000000000\) \(a_{67}=-1.867003981\) \(a_{68}=+0.000000000\) \(a_{69}=-0.451140961\) \(a_{70}=+0.000000000\)
\(a_{71}=+1.196819759\) \(a_{72}=+0.000000000\) \(a_{73}=+0.416385956\) \(a_{74}=+0.000000000\) \(a_{75}=-0.138022091\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.760118668\) \(a_{78}=+0.000000000\) \(a_{79}=+0.738495854\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-1.761473109\) \(a_{84}=+0.000000000\) \(a_{85}=+0.869858477\)
\(a_{86}=+0.000000000\) \(a_{87}=-1.029522515\) \(a_{88}=+0.000000000\) \(a_{89}=+0.400819183\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.726823208\) \(a_{92}=+0.000000000\) \(a_{93}=+0.807401414\) \(a_{94}=+0.000000000\) \(a_{95}=-0.489344493\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.455926708\) \(a_{98}=+0.000000000\) \(a_{99}=-0.265049489\) \(a_{100}=+0.000000000\)

Showing 100 of 330 available coefficients

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