z = 3 + 4j; show(z); show(type(z))

Z = 3 + 4 * i; show(Z); show(type(Z))

abs(z)

show(abs(Z)); show(arg(Z))

x, y = var('x, y')

z = x + i * y; show(z)

print(z.real()); show(z.real()); print(z.imag()); show(z.imag())

assume(x, 'real'); assume(y, 'real')

z = x + i * y; show(z)

print(z.real()); show(z.real()); print(z.imag()); show(z.imag())

show(z.conjugate())

w = 1 / z; show(w)

show(w.rectform())

show(abs(z)); show(abs(w))

show(z.norm()); show(w.norm()); show((w.norm()).simplify_full())

