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: \( 7.16670285965 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.588569313\) \(a_{4}=+0.000000000\) \(a_{5}=-1.659318182\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=+1.523552461\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.030195851\) \(a_{12}=+0.000000000\) \(a_{13}=+1.964610134\) \(a_{14}=+0.000000000\) \(a_{15}=-2.635941944\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.109417280\) \(a_{18}=+0.000000000\) \(a_{19}=+1.585650717\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.600422763\) \(a_{22}=+0.000000000\) \(a_{23}=+0.850261767\) \(a_{24}=+0.000000000\) \(a_{25}=+1.753336829\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.831699373\) \(a_{28}=+0.000000000\) \(a_{29}=-0.644837407\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.049381439\) \(a_{32}=+0.000000000\) \(a_{33}=-0.047968202\) \(a_{34}=+0.000000000\) \(a_{35}=+0.627163322\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.083405969\) \(a_{38}=+0.000000000\) \(a_{39}=+3.120919371\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.835482964\) \(a_{42}=+0.000000000\) \(a_{43}=+1.104347203\) \(a_{44}=+0.000000000\) \(a_{45}=-2.528058300\)
\(a_{46}=+0.000000000\) \(a_{47}=+0.327781225\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.173816933\) \(a_{52}=+0.000000000\) \(a_{53}=-1.601012007\) \(a_{54}=+0.000000000\) \(a_{55}=+0.050104524\)
\(a_{56}=+0.000000000\) \(a_{57}=+2.518916070\) \(a_{58}=+0.000000000\) \(a_{59}=-0.160014132\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.600823192\) \(a_{62}=+0.000000000\) \(a_{63}=-0.575848703\) \(a_{64}=+0.000000000\) \(a_{65}=-3.259913316\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.777877933\) \(a_{68}=+0.000000000\) \(a_{69}=+1.350699751\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.609958793\) \(a_{72}=+0.000000000\) \(a_{73}=-0.871353308\) \(a_{74}=+0.000000000\) \(a_{75}=+2.785297081\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.011412959\) \(a_{78}=+0.000000000\) \(a_{79}=-0.085143506\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.202340359\) \(a_{82}=+0.000000000\) \(a_{83}=-0.295391008\) \(a_{84}=+0.000000000\) \(a_{85}=-0.181558082\)
\(a_{86}=+0.000000000\) \(a_{87}=-1.024368916\) \(a_{88}=+0.000000000\) \(a_{89}=+0.462203472\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.742552834\) \(a_{92}=+0.000000000\) \(a_{93}=-0.078445839\) \(a_{94}=+0.000000000\) \(a_{95}=-2.631099066\)
\(a_{96}=+0.000000000\) \(a_{97}=+1.462592325\) \(a_{98}=+0.000000000\) \(a_{99}=-0.046004963\) \(a_{100}=+0.000000000\)

Showing 100 of 336 available coefficients

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