Properties

Level $28$
Weight $0$
Character 28.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 28 = 2^{2} \cdot 7 \)
Weight: \( 0 \)
Character: 28.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 1.69299215834 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.991343854\) \(a_{4}=+0.000000000\) \(a_{5}=+1.452736620\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=-0.017237364\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.663232587\) \(a_{12}=+0.000000000\) \(a_{13}=+1.593237094\) \(a_{14}=+0.000000000\) \(a_{15}=-1.440161519\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.979791883\) \(a_{18}=+0.000000000\) \(a_{19}=+0.081781097\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.374692757\) \(a_{22}=+0.000000000\) \(a_{23}=+0.300488127\) \(a_{24}=+0.000000000\) \(a_{25}=+1.110443687\)
\(a_{26}=+0.000000000\) \(a_{27}=+1.008432008\) \(a_{28}=+0.000000000\) \(a_{29}=-0.734853968\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.501695363\) \(a_{32}=+0.000000000\) \(a_{33}=+0.657491548\) \(a_{34}=+0.000000000\) \(a_{35}=+0.549082831\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.915872838\) \(a_{38}=+0.000000000\) \(a_{39}=-1.579445800\) \(a_{40}=+0.000000000\)
\(a_{41}=-1.121138178\) \(a_{42}=+0.000000000\) \(a_{43}=+0.613849797\) \(a_{44}=+0.000000000\) \(a_{45}=-0.025041350\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.182136753\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857142\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.971310662\) \(a_{52}=+0.000000000\) \(a_{53}=+0.402948321\) \(a_{54}=+0.000000000\) \(a_{55}=-0.963502267\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.081073191\) \(a_{58}=+0.000000000\) \(a_{59}=-1.177180930\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.351727526\) \(a_{62}=+0.000000000\) \(a_{63}=-0.006515101\) \(a_{64}=+0.000000000\) \(a_{65}=+2.314553865\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.027733908\) \(a_{68}=+0.000000000\) \(a_{69}=-0.297887083\) \(a_{70}=+0.000000000\)
\(a_{71}=+1.268011612\) \(a_{72}=+0.000000000\) \(a_{73}=-0.130749145\) \(a_{74}=+0.000000000\) \(a_{75}=-1.100829951\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.250687984\) \(a_{78}=+0.000000000\) \(a_{79}=-1.644718187\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.982465891\) \(a_{82}=+0.000000000\) \(a_{83}=+0.737285662\) \(a_{84}=+0.000000000\) \(a_{85}=-1.423325463\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.728512558\) \(a_{88}=+0.000000000\) \(a_{89}=-0.366707031\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.602665876\) \(a_{92}=+0.000000000\) \(a_{93}=-0.497332657\) \(a_{94}=+0.000000000\) \(a_{95}=+0.118770702\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.549754951\) \(a_{98}=+0.000000000\) \(a_{99}=+0.011291779\) \(a_{100}=+0.000000000\)

Showing 100 of 2000 available coefficients

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