from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3822, base_ring=CyclotomicField(84))
M = H._module
chi = DirichletCharacter(H, M([0,26,21]))
pari: [g,chi] = znchar(Mod(2803,3822))
χ3822(73,⋅)
χ3822(187,⋅)
χ3822(229,⋅)
χ3822(577,⋅)
χ3822(733,⋅)
χ3822(775,⋅)
χ3822(1123,⋅)
χ3822(1165,⋅)
χ3822(1279,⋅)
χ3822(1321,⋅)
χ3822(1669,⋅)
χ3822(1711,⋅)
χ3822(1825,⋅)
χ3822(1867,⋅)
χ3822(2215,⋅)
χ3822(2257,⋅)
χ3822(2413,⋅)
χ3822(2761,⋅)
χ3822(2803,⋅)
χ3822(2917,⋅)
χ3822(3307,⋅)
χ3822(3349,⋅)
χ3822(3463,⋅)
χ3822(3505,⋅)
order = charorder(g,chi)
[ charpow(g,chi, k % order) | k <-[1..order-1], gcd(k,order)==1 ]
(2549,3433,1471) → (1,e(4213),i)
a |
−1 | 1 | 5 | 11 | 17 | 19 | 23 | 25 | 29 | 31 | 37 | 41 |
χ3822(2803,a) |
1 | 1 | e(8419) | e(8411) | e(215) | e(121) | e(4211) | e(4219) | e(74) | e(125) | e(8455) | e(2825) |