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: \( 9.31627362143 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.472543415\) \(a_{4}=+0.000000000\) \(a_{5}=+1.520397399\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=-0.776702721\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.250340659\) \(a_{12}=+0.000000000\) \(a_{13}=-0.068876189\) \(a_{14}=+0.000000000\) \(a_{15}=+0.718453779\)
\(a_{16}=+0.000000000\) \(a_{17}=-1.718824424\) \(a_{18}=+0.000000000\) \(a_{19}=-1.750834582\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.178604623\) \(a_{22}=+0.000000000\) \(a_{23}=+0.297370546\) \(a_{24}=+0.000000000\) \(a_{25}=+1.311608251\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.839569171\) \(a_{28}=+0.000000000\) \(a_{29}=+0.572615831\) \(a_{30}=+0.000000000\)
\(a_{31}=+1.090598954\) \(a_{32}=+0.000000000\) \(a_{33}=-0.590840245\) \(a_{34}=+0.000000000\) \(a_{35}=+0.574656202\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.774420094\) \(a_{38}=+0.000000000\) \(a_{39}=-0.032546990\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.605884152\) \(a_{42}=+0.000000000\) \(a_{43}=-0.036471359\) \(a_{44}=+0.000000000\) \(a_{45}=-1.180896797\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.110492060\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.812219163\) \(a_{52}=+0.000000000\) \(a_{53}=-1.386404215\) \(a_{54}=+0.000000000\) \(a_{55}=-1.901014686\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.827345352\) \(a_{58}=+0.000000000\) \(a_{59}=+1.560426062\) \(a_{60}=+0.000000000\)
\(a_{61}=-1.389147659\) \(a_{62}=+0.000000000\) \(a_{63}=-0.293566035\) \(a_{64}=+0.000000000\) \(a_{65}=-0.104719179\)
\(a_{66}=+0.000000000\) \(a_{67}=-1.156760061\) \(a_{68}=+0.000000000\) \(a_{69}=+0.140520493\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.814414668\) \(a_{72}=+0.000000000\) \(a_{73}=+1.366436375\) \(a_{74}=+0.000000000\) \(a_{75}=+0.619791842\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.472584348\) \(a_{78}=+0.000000000\) \(a_{79}=+0.944601587\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.379969838\) \(a_{82}=+0.000000000\) \(a_{83}=-0.953098272\) \(a_{84}=+0.000000000\) \(a_{85}=-2.613296184\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.270585840\) \(a_{88}=+0.000000000\) \(a_{89}=-0.017844310\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.026032752\) \(a_{92}=+0.000000000\) \(a_{93}=+0.515355354\) \(a_{94}=+0.000000000\) \(a_{95}=-2.661964345\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.287647644\) \(a_{98}=+0.000000000\) \(a_{99}=+0.971142992\) \(a_{100}=+0.000000000\)

Showing 100 of 382 available coefficients

Rows: Cols: