Fungrim entry: d8155f

Table of

\chi_{10 \, . \, \ell}

$\ell$ \ $n$	1	3	7	9
1	1	1	1	1
3	1	$i$	$-i$	-1
7	1	$-i$	$i$	-1
9	1	-1	-1	1

Table data:

\left(\ell, n, y\right)

such that

\chi(n) = y\; \text{ where } \chi = \chi_{10 \, . \, \ell}

Definitions:

Fungrim symbol	Notation	Short description
`DirichletCharacter`	$\chi_{q \, . \, \ell}$	Dirichlet character
`ConstI`	$i$	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))))

Topics using this entry

Dirichlet characters

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC