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: \( 7.17091159331 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.577350269\) \(a_{4}=+0.000000000\) \(a_{5}=+0.910784973\)
\(a_{6}=+0.000000000\) \(a_{7}=-1.814217182\) \(a_{8}=+0.000000000\) \(a_{9}=+0.333333333\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.007906527\) \(a_{12}=+0.000000000\) \(a_{13}=+1.629982991\) \(a_{14}=+0.000000000\) \(a_{15}=+0.525841949\)
\(a_{16}=+0.000000000\) \(a_{17}=-1.201922259\) \(a_{18}=+0.000000000\) \(a_{19}=-0.727388802\) \(a_{20}=+0.000000000\)
\(a_{21}=-1.047438778\) \(a_{22}=+0.000000000\) \(a_{23}=-0.264505675\) \(a_{24}=+0.000000000\) \(a_{25}=-0.170470733\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.192450090\) \(a_{28}=+0.000000000\) \(a_{29}=-1.217846741\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.394316185\) \(a_{32}=+0.000000000\) \(a_{33}=-0.581915105\) \(a_{34}=+0.000000000\) \(a_{35}=-1.652361747\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.683860360\) \(a_{38}=+0.000000000\) \(a_{39}=+0.941071119\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.370773907\) \(a_{42}=+0.000000000\) \(a_{43}=-0.966344042\) \(a_{44}=+0.000000000\) \(a_{45}=+0.303594991\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.677416117\) \(a_{48}=+0.000000000\) \(a_{49}=+2.291383983\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.693930140\) \(a_{52}=+0.000000000\) \(a_{53}=+0.256911488\) \(a_{54}=+0.000000000\) \(a_{55}=-0.917986119\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.419958121\) \(a_{58}=+0.000000000\) \(a_{59}=+0.034597824\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.696455376\) \(a_{62}=+0.000000000\) \(a_{63}=-0.604739061\) \(a_{64}=+0.000000000\) \(a_{65}=+1.484564015\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.652128952\) \(a_{68}=+0.000000000\) \(a_{69}=-0.152712423\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.248984764\) \(a_{72}=+0.000000000\) \(a_{73}=-1.144739537\) \(a_{74}=+0.000000000\) \(a_{75}=-0.098421323\)
\(a_{76}=+0.000000000\) \(a_{77}=+1.828561339\) \(a_{78}=+0.000000000\) \(a_{79}=+1.453767710\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.111111111\) \(a_{82}=+0.000000000\) \(a_{83}=+1.466490480\) \(a_{84}=+0.000000000\) \(a_{85}=-1.094692733\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.703124144\) \(a_{88}=+0.000000000\) \(a_{89}=+1.273741081\) \(a_{90}=+0.000000000\)
\(a_{91}=-2.957143149\) \(a_{92}=+0.000000000\) \(a_{93}=-0.227658556\) \(a_{94}=+0.000000000\) \(a_{95}=-0.662494791\)
\(a_{96}=+0.000000000\) \(a_{97}=+1.461836164\) \(a_{98}=+0.000000000\) \(a_{99}=-0.335968842\) \(a_{100}=+0.000000000\)

Showing 100 of 310 available coefficients

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