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: \( 5.79510428033 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.094753984\) \(a_{4}=+0.000000000\) \(a_{5}=-1.114912613\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=+0.198486286\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.234206987\) \(a_{12}=+0.000000000\) \(a_{13}=-0.331792929\) \(a_{14}=+0.000000000\) \(a_{15}=-1.220555026\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.922913264\) \(a_{18}=+0.000000000\) \(a_{19}=-0.920881897\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.413778113\) \(a_{22}=+0.000000000\) \(a_{23}=-0.860685181\) \(a_{24}=+0.000000000\) \(a_{25}=+0.243030135\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.877460332\) \(a_{28}=+0.000000000\) \(a_{29}=+1.120616051\) \(a_{30}=+0.000000000\)
\(a_{31}=-1.901905761\) \(a_{32}=+0.000000000\) \(a_{33}=-0.256399032\) \(a_{34}=+0.000000000\) \(a_{35}=-0.421397358\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.151669191\) \(a_{38}=+0.000000000\) \(a_{39}=-0.363231631\) \(a_{40}=+0.000000000\)
\(a_{41}=+1.579500504\) \(a_{42}=+0.000000000\) \(a_{43}=+0.582494362\) \(a_{44}=+0.000000000\) \(a_{45}=-0.221294864\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.728832674\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=-1.010362973\) \(a_{52}=+0.000000000\) \(a_{53}=-0.834365822\) \(a_{54}=+0.000000000\) \(a_{55}=+0.261120324\)
\(a_{56}=+0.000000000\) \(a_{57}=-1.008139126\) \(a_{58}=+0.000000000\) \(a_{59}=-1.212157429\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.485296066\) \(a_{62}=+0.000000000\) \(a_{63}=+0.075020765\) \(a_{64}=+0.000000000\) \(a_{65}=+0.369920121\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.215154483\) \(a_{68}=+0.000000000\) \(a_{69}=-0.942238531\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.519413738\) \(a_{72}=+0.000000000\) \(a_{73}=-1.024884732\) \(a_{74}=+0.000000000\) \(a_{75}=+0.266058209\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.088521920\) \(a_{78}=+0.000000000\) \(a_{79}=+1.409367942\) \(a_{80}=+0.000000000\)
\(a_{81}=-1.159089480\) \(a_{82}=+0.000000000\) \(a_{83}=+1.367185497\) \(a_{84}=+0.000000000\) \(a_{85}=+1.028967639\)
\(a_{86}=+0.000000000\) \(a_{87}=+1.226798886\) \(a_{88}=+0.000000000\) \(a_{89}=-0.428704795\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.125405939\) \(a_{92}=+0.000000000\) \(a_{93}=-2.082118910\) \(a_{94}=+0.000000000\) \(a_{95}=+1.026702842\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.406142146\) \(a_{98}=+0.000000000\) \(a_{99}=-0.046486875\) \(a_{100}=+0.000000000\)

Showing 100 of 280 available coefficients

Rows: Cols: