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: \( 3.40189451957 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+1.563221580\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.803938674\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.407536817\) \(a_{12}=+0.000000000\) \(a_{13}=+0.533271888\) \(a_{14}=+0.000000000\) \(a_{15}=+0.902526400\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.624186987\) \(a_{18}=+0.000000000\) \(a_{19}=-0.317115931\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.464154210\) \(a_{22}=+0.000000000\) \(a_{23}=-1.149494188\) \(a_{24}=+0.000000000\) \(a_{25}=+1.443661707\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-1.854939143\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.838551619\) \(a_{32}=+0.000000000\) \(a_{33}=-0.812641760\) \(a_{34}=+0.000000000\) \(a_{35}=+1.256734284\)
\(a_{36}=+0.000000000\) \(a_{37}=+1.310804730\) \(a_{38}=+0.000000000\) \(a_{39}=+0.307884668\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.514402916\) \(a_{42}=+0.000000000\) \(a_{43}=+0.597541822\) \(a_{44}=+0.000000000\) \(a_{45}=+0.521073860\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.162482206\) \(a_{48}=+0.000000000\) \(a_{49}=-0.353682609\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.360374525\) \(a_{52}=+0.000000000\) \(a_{53}=+0.675442716\) \(a_{54}=+0.000000000\) \(a_{55}=-2.200291927\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.183086968\) \(a_{58}=+0.000000000\) \(a_{59}=-0.681574050\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.342080780\) \(a_{62}=+0.000000000\) \(a_{63}=+0.267979558\) \(a_{64}=+0.000000000\) \(a_{65}=+0.833622123\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.565479120\) \(a_{68}=+0.000000000\) \(a_{69}=-0.663660779\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.208092100\) \(a_{72}=+0.000000000\) \(a_{73}=+0.672236700\) \(a_{74}=+0.000000000\) \(a_{75}=+0.833498475\)
\(a_{76}=+0.000000000\) \(a_{77}=-1.131573282\) \(a_{78}=+0.000000000\) \(a_{79}=+0.850985340\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+0.892595700\) \(a_{84}=+0.000000000\) \(a_{85}=+0.975742568\)
\(a_{86}=+0.000000000\) \(a_{87}=-1.070949613\) \(a_{88}=+0.000000000\) \(a_{89}=+0.311397700\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.428717895\) \(a_{92}=+0.000000000\) \(a_{93}=-0.484138003\) \(a_{94}=+0.000000000\) \(a_{95}=-0.495722467\)
\(a_{96}=+0.000000000\) \(a_{97}=-1.662378000\) \(a_{98}=+0.000000000\) \(a_{99}=-0.469178939\) \(a_{100}=+0.000000000\)

Showing 100 of 198 available coefficients

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