Properties

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

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 28 = 2^{2} \cdot 7 \)
Weight: \( 0 \)
Character: 28.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 6.4865078798 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.785149797\) \(a_{4}=+0.000000000\) \(a_{5}=-1.031556372\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=-0.383539796\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.038120450\) \(a_{12}=+0.000000000\) \(a_{13}=-1.838501155\) \(a_{14}=+0.000000000\) \(a_{15}=+0.809926276\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.136208087\) \(a_{18}=+0.000000000\) \(a_{19}=+1.104877021\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.296758729\) \(a_{22}=+0.000000000\) \(a_{23}=-0.144275946\) \(a_{24}=+0.000000000\) \(a_{25}=+0.064108549\)
\(a_{26}=+0.000000000\) \(a_{27}=+1.086285990\) \(a_{28}=+0.000000000\) \(a_{29}=+1.265996527\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.820055080\) \(a_{32}=+0.000000000\) \(a_{33}=+0.815080060\) \(a_{34}=+0.000000000\) \(a_{35}=+0.389891661\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.190074859\) \(a_{38}=+0.000000000\) \(a_{39}=+1.443498809\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.708343960\) \(a_{42}=+0.000000000\) \(a_{43}=+1.254537079\) \(a_{44}=+0.000000000\) \(a_{45}=+0.395642921\)
\(a_{46}=+0.000000000\) \(a_{47}=-1.970147166\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.892093549\) \(a_{52}=+0.000000000\) \(a_{53}=+0.322054925\) \(a_{54}=+0.000000000\) \(a_{55}=+1.070879765\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.867493969\) \(a_{58}=+0.000000000\) \(a_{59}=-0.295020871\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.446165055\) \(a_{62}=+0.000000000\) \(a_{63}=+0.144964417\) \(a_{64}=+0.000000000\) \(a_{65}=+1.896517581\)
\(a_{66}=+0.000000000\) \(a_{67}=+1.179436676\) \(a_{68}=+0.000000000\) \(a_{69}=+0.113278230\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.662110005\) \(a_{72}=+0.000000000\) \(a_{73}=+0.011575093\) \(a_{74}=+0.000000000\) \(a_{75}=-0.050334814\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.392372649\) \(a_{78}=+0.000000000\) \(a_{79}=-0.383767976\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.469357428\) \(a_{82}=+0.000000000\) \(a_{83}=-0.896486211\) \(a_{84}=+0.000000000\) \(a_{85}=-1.172062692\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.993996916\) \(a_{88}=+0.000000000\) \(a_{89}=+1.253383031\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.694888120\) \(a_{92}=+0.000000000\) \(a_{93}=+0.643866080\) \(a_{94}=+0.000000000\) \(a_{95}=-1.139742931\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.435259970\) \(a_{98}=+0.000000000\) \(a_{99}=+0.398160506\) \(a_{100}=+0.000000000\)

Showing 100 of 226 available coefficients

Rows: Cols: