Properties

Level $28$
Weight $0$
Character 28.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 28 = 2^{2} \cdot 7 \)
Weight: \( 0 \)
Character: 28.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 7.35563047721 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-1.506718300\) \(a_{4}=+0.000000000\) \(a_{5}=+1.815328522\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=+1.270200037\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.635668801\) \(a_{12}=+0.000000000\) \(a_{13}=+0.569182872\) \(a_{14}=+0.000000000\) \(a_{15}=-2.735188705\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.623137080\) \(a_{18}=+0.000000000\) \(a_{19}=+0.667944761\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.569485988\) \(a_{22}=+0.000000000\) \(a_{23}=-0.693253785\) \(a_{24}=+0.000000000\) \(a_{25}=+2.295417643\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.407115340\) \(a_{28}=+0.000000000\) \(a_{29}=-0.523833920\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.655817730\) \(a_{32}=+0.000000000\) \(a_{33}=+2.464492116\) \(a_{34}=+0.000000000\) \(a_{35}=-0.686129688\)
\(a_{36}=+0.000000000\) \(a_{37}=+1.051089928\) \(a_{38}=+0.000000000\) \(a_{39}=-0.857598249\) \(a_{40}=+0.000000000\)
\(a_{41}=+1.012092612\) \(a_{42}=+0.000000000\) \(a_{43}=-0.819061021\) \(a_{44}=+0.000000000\) \(a_{45}=+2.305830355\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.099859582\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.938892043\) \(a_{52}=+0.000000000\) \(a_{53}=-0.283855735\) \(a_{54}=+0.000000000\) \(a_{55}=-2.969276227\)
\(a_{56}=+0.000000000\) \(a_{57}=-1.006404595\) \(a_{58}=+0.000000000\) \(a_{59}=+1.553226560\) \(a_{60}=+0.000000000\)
\(a_{61}=-1.147775124\) \(a_{62}=+0.000000000\) \(a_{63}=-0.480090487\) \(a_{64}=+0.000000000\) \(a_{65}=+1.033253901\)
\(a_{66}=+0.000000000\) \(a_{67}=+1.932738628\) \(a_{68}=+0.000000000\) \(a_{69}=+1.044538164\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.042338107\) \(a_{72}=+0.000000000\) \(a_{73}=+1.248231144\) \(a_{74}=+0.000000000\) \(a_{75}=-3.458547769\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.618224696\) \(a_{78}=+0.000000000\) \(a_{79}=+1.585465510\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.656791904\) \(a_{82}=+0.000000000\) \(a_{83}=-0.143588640\) \(a_{84}=+0.000000000\) \(a_{85}=-1.131198515\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.789270153\) \(a_{88}=+0.000000000\) \(a_{89}=+0.385080394\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.215130904\) \(a_{92}=+0.000000000\) \(a_{93}=-0.988132576\) \(a_{94}=+0.000000000\) \(a_{95}=+1.212539175\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.589565005\) \(a_{98}=+0.000000000\) \(a_{99}=-2.077626571\) \(a_{100}=+0.000000000\)

Showing 100 of 348 available coefficients

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