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: \( 5.64616648921 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=-0.141109557\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.086661475\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.054689874\) \(a_{12}=+0.000000000\) \(a_{13}=+1.180982456\) \(a_{14}=+0.000000000\) \(a_{15}=-0.081469641\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.640484294\) \(a_{18}=+0.000000000\) \(a_{19}=+0.835553370\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.050034026\) \(a_{22}=+0.000000000\) \(a_{23}=+1.418615812\) \(a_{24}=+0.000000000\) \(a_{25}=-0.980088093\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-1.202859641\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.685081053\) \(a_{32}=+0.000000000\) \(a_{33}=-0.031575213\) \(a_{34}=+0.000000000\) \(a_{35}=-0.012228762\)
\(a_{36}=+0.000000000\) \(a_{37}=+1.633093624\) \(a_{38}=+0.000000000\) \(a_{39}=+0.681840539\) \(a_{40}=+0.000000000\)
\(a_{41}=-1.053404299\) \(a_{42}=+0.000000000\) \(a_{43}=+0.906094906\) \(a_{44}=+0.000000000\) \(a_{45}=-0.047036519\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.910087422\) \(a_{48}=+0.000000000\) \(a_{49}=-0.992489789\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.947134049\) \(a_{52}=+0.000000000\) \(a_{53}=-1.117654105\) \(a_{54}=+0.000000000\) \(a_{55}=+0.007717264\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.482406963\) \(a_{58}=+0.000000000\) \(a_{59}=-0.048668178\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.293733060\) \(a_{62}=+0.000000000\) \(a_{63}=+0.028887158\) \(a_{64}=+0.000000000\) \(a_{65}=-0.166647912\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.893251602\) \(a_{68}=+0.000000000\) \(a_{69}=+0.819038221\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.046358728\) \(a_{72}=+0.000000000\) \(a_{73}=+0.668031781\) \(a_{74}=+0.000000000\) \(a_{75}=-0.565854124\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.004739505\) \(a_{78}=+0.000000000\) \(a_{79}=+0.931082183\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=-1.530237653\) \(a_{84}=+0.000000000\) \(a_{85}=-0.231488013\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.694471337\) \(a_{88}=+0.000000000\) \(a_{89}=-0.766141795\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.102345682\) \(a_{92}=+0.000000000\) \(a_{93}=+0.395531730\) \(a_{94}=+0.000000000\) \(a_{95}=-0.117904566\)
\(a_{96}=+0.000000000\) \(a_{97}=-1.246845338\) \(a_{98}=+0.000000000\) \(a_{99}=-0.018229958\) \(a_{100}=+0.000000000\)

Showing 100 of 238 available coefficients

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