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: \( 1.30086635839 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350257\) \(a_{4}=+0.000000000\) \(a_{5}=-0.508658785\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.971039850\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333314\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.347124827\) \(a_{12}=+0.000000000\) \(a_{13}=+1.593797706\) \(a_{14}=+0.000000000\) \(a_{15}=-0.293674249\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.671630796\) \(a_{18}=+0.000000000\) \(a_{19}=+0.346600694\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.560630129\) \(a_{22}=+0.000000000\) \(a_{23}=-0.474208745\) \(a_{24}=+0.000000000\) \(a_{25}=-0.741266175\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450031\) \(a_{28}=+0.000000000\) \(a_{29}=-0.010356158\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.482056090\) \(a_{32}=+0.000000000\) \(a_{33}=+0.200412642\) \(a_{34}=+0.000000000\) \(a_{35}=+0.493927984\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.420754135\) \(a_{38}=+0.000000000\) \(a_{39}=+0.920179532\) \(a_{40}=+0.000000000\)
\(a_{41}=+1.991231416\) \(a_{42}=+0.000000000\) \(a_{43}=-1.130857862\) \(a_{44}=+0.000000000\) \(a_{45}=-0.169552907\)
\(a_{46}=+0.000000000\) \(a_{47}=-1.464536560\) \(a_{48}=+0.000000000\) \(a_{49}=-0.057081640\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.387766208\) \(a_{52}=+0.000000000\) \(a_{53}=-0.857130161\) \(a_{54}=+0.000000000\) \(a_{55}=-0.176568169\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.200110079\) \(a_{58}=+0.000000000\) \(a_{59}=+0.627739593\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.364631181\) \(a_{62}=+0.000000000\) \(a_{63}=-0.323680028\) \(a_{64}=+0.000000000\) \(a_{65}=-0.810699221\)
\(a_{66}=+0.000000000\) \(a_{67}=+1.443687236\) \(a_{68}=+0.000000000\) \(a_{69}=-0.273784543\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.949739636\) \(a_{72}=+0.000000000\) \(a_{73}=+0.787416166\) \(a_{74}=+0.000000000\) \(a_{75}=-0.427970258\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.337072070\) \(a_{78}=+0.000000000\) \(a_{79}=+0.414766780\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111175\) \(a_{82}=+0.000000000\) \(a_{83}=+0.211801108\) \(a_{84}=+0.000000000\) \(a_{85}=+0.341630921\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.005979140\) \(a_{88}=+0.000000000\) \(a_{89}=-1.156625147\) \(a_{90}=+0.000000000\)
\(a_{91}=-1.547641139\) \(a_{92}=+0.000000000\) \(a_{93}=+0.278315122\) \(a_{94}=+0.000000000\) \(a_{95}=-0.176301543\)
\(a_{96}=+0.000000000\) \(a_{97}=-1.125051628\) \(a_{98}=+0.000000000\) \(a_{99}=+0.115708276\) \(a_{100}=+0.000000000\)

Showing 100 of 2000 available coefficients

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