Properties

Level $28$
Weight $0$
Character 28.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 28 = 2^{2} \cdot 7 \)
Weight: \( 0 \)
Character: 28.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 9.01135974149 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.695922051\) \(a_{4}=+0.000000000\) \(a_{5}=-0.317463961\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=-0.515692499\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.089525662\) \(a_{12}=+0.000000000\) \(a_{13}=+1.364181621\) \(a_{14}=+0.000000000\) \(a_{15}=-0.220930171\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.740704923\) \(a_{18}=+0.000000000\) \(a_{19}=-1.081860578\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.263033811\) \(a_{22}=+0.000000000\) \(a_{23}=+1.596659541\) \(a_{24}=+0.000000000\) \(a_{25}=-0.899216633\)
\(a_{26}=+0.000000000\) \(a_{27}=-1.054803833\) \(a_{28}=+0.000000000\) \(a_{29}=+0.135255464\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.560246457\) \(a_{32}=+0.000000000\) \(a_{33}=-0.758224934\) \(a_{34}=+0.000000000\) \(a_{35}=-0.119990099\)
\(a_{36}=+0.000000000\) \(a_{37}=+1.659419824\) \(a_{38}=+0.000000000\) \(a_{39}=+0.949364072\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.094570859\) \(a_{42}=+0.000000000\) \(a_{43}=+1.224259509\) \(a_{44}=+0.000000000\) \(a_{45}=+0.163713784\)
\(a_{46}=+0.000000000\) \(a_{47}=+0.823649029\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=+1.211394940\) \(a_{52}=+0.000000000\) \(a_{53}=+0.148896778\) \(a_{54}=+0.000000000\) \(a_{55}=+0.345885133\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.752890632\) \(a_{58}=+0.000000000\) \(a_{59}=+0.286064214\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.477087087\) \(a_{62}=+0.000000000\) \(a_{63}=-0.194913443\) \(a_{64}=+0.000000000\) \(a_{65}=-0.433078502\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.342352207\) \(a_{68}=+0.000000000\) \(a_{69}=+1.111150583\) \(a_{70}=+0.000000000\)
\(a_{71}=+1.445282337\) \(a_{72}=+0.000000000\) \(a_{73}=+0.869817356\) \(a_{74}=+0.000000000\) \(a_{75}=-0.625784684\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.411801993\) \(a_{78}=+0.000000000\) \(a_{79}=+0.950875003\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.218368748\) \(a_{82}=+0.000000000\) \(a_{83}=-1.275912226\) \(a_{84}=+0.000000000\) \(a_{85}=-0.552611081\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.094127260\) \(a_{88}=+0.000000000\) \(a_{89}=-0.433375000\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.515612187\) \(a_{92}=+0.000000000\) \(a_{93}=-0.389887863\) \(a_{94}=+0.000000000\) \(a_{95}=+0.343451745\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.842113615\) \(a_{98}=+0.000000000\) \(a_{99}=+0.561860211\) \(a_{100}=+0.000000000\)

Showing 100 of 366 available coefficients

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