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Fungrim entry: d8155f

Table of χ10.\chi_{10 \, . \, \ell}
\ell \ nn 0123456789
10101000101
3010ii 000i-i 0-1
7010i-i 000ii 0-1
9010-1000-101
Table data: (,n,y)\left(\ell, n, y\right) such that χ(n)=y   where χ=χ10.\chi(n) = y\; \text{ where } \chi = \chi_{10 \, . \, \ell}
Definitions:
Fungrim symbol Notation Short description
DirichletCharacterχq.\chi_{q \, . \, \ell} Dirichlet character
ConstIii Imaginary unit
Source code for this entry:
Entry(ID("d8155f"),
    Description("Table of", DirichletCharacter(10, ell)),
    Table(TableRelation(Tuple(ell, n, y), Where(Equal(chi(n), y), Equal(chi, DirichletCharacter(10, ell)))), TableHeadings(Description(ell, "\", n), 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), TableColumnHeadings(1, 3, 7, 9), List(Tuple(0, 1, 0, 1, 0, 0, 0, 1, 0, 1), Tuple(0, 1, 0, ConstI, 0, 0, 0, Neg(ConstI), 0, -1), Tuple(0, 1, 0, Neg(ConstI), 0, 0, 0, ConstI, 0, -1), Tuple(0, 1, 0, -1, 0, 0, 0, -1, 0, 1))))

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2021-03-15 19:12:00.328586 UTC