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: \( 7.68358602923 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.688281512\) \(a_{4}=+0.000000000\) \(a_{5}=+0.190300229\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=-0.526268561\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.086974855\) \(a_{12}=+0.000000000\) \(a_{13}=-0.667221131\) \(a_{14}=+0.000000000\) \(a_{15}=+0.130980129\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.699333549\) \(a_{18}=+0.000000000\) \(a_{19}=+0.944748633\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.260145959\) \(a_{22}=+0.000000000\) \(a_{23}=-0.987202952\) \(a_{24}=+0.000000000\) \(a_{25}=-0.963785823\)
\(a_{26}=+0.000000000\) \(a_{27}=-1.050502432\) \(a_{28}=+0.000000000\) \(a_{29}=+0.254132954\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.080735076\) \(a_{32}=+0.000000000\) \(a_{33}=-0.748144696\) \(a_{34}=+0.000000000\) \(a_{35}=+0.071926726\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.137618688\) \(a_{38}=+0.000000000\) \(a_{39}=-0.459235969\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.292156177\) \(a_{42}=+0.000000000\) \(a_{43}=-1.907593080\) \(a_{44}=+0.000000000\) \(a_{45}=-0.100149028\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.696114352\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.481338352\) \(a_{52}=+0.000000000\) \(a_{53}=-0.660944631\) \(a_{54}=+0.000000000\) \(a_{55}=-0.206851564\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.650253018\) \(a_{58}=+0.000000000\) \(a_{59}=-0.488381984\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.090612472\) \(a_{62}=+0.000000000\) \(a_{63}=-0.198910819\) \(a_{64}=+0.000000000\) \(a_{65}=-0.126972334\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.382694394\) \(a_{68}=+0.000000000\) \(a_{69}=-0.679473540\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.754385857\) \(a_{72}=+0.000000000\) \(a_{73}=+0.508133466\) \(a_{74}=+0.000000000\) \(a_{75}=-0.663355963\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.410837878\) \(a_{78}=+0.000000000\) \(a_{79}=-1.887302337\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.196772841\) \(a_{82}=+0.000000000\) \(a_{83}=+0.328223875\) \(a_{84}=+0.000000000\) \(a_{85}=+0.133083334\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.174915014\) \(a_{88}=+0.000000000\) \(a_{89}=+1.146943300\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.252185883\) \(a_{92}=+0.000000000\) \(a_{93}=+0.055568460\) \(a_{94}=+0.000000000\) \(a_{95}=+0.179785881\)
\(a_{96}=+0.000000000\) \(a_{97}=+1.397890995\) \(a_{98}=+0.000000000\) \(a_{99}=+0.572040692\) \(a_{100}=+0.000000000\)

Showing 100 of 346 available coefficients

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