relate root representations

I see that Axiom produces different representations for the roots of
polynomials in the form of lists, but I do not find the operations that
relates the corresponding elements of these lists.

As a concrete example, in a follow-up of the example that I have posted a few weeks
ago, consider the lists produced by:

allRootsOf(p^3 - p + 1/10)$RECLOS(FRAC INT)

[%F8,%F9,%F10]

solve((p^3 - p + 1/10=0)::EQ EXPR INT,p)


               +-----------+             +-----------+
               |      2                  |      2
              \|- 3%p0  + 4  - %p0    - \|- 3%p0  + 4  - %p0
   [p= %p0,p= --------------------,p= ----------------------]
                        2                        2
                                  Type: List Equation Expression Integer

radicalSolve(p^3 - p + 1/10=0,p)

                       +------------------+2
                       |    +-+    +-----+
           +---+       |- 3\|3  + \|- 373
      (- 3\|- 3  + 3)  |------------------  - 2
                      3|         +-+
                      \|      60\|3
  [p= -----------------------------------------,
                         +------------------+
                         |    +-+    +-----+
             +---+       |- 3\|3  + \|- 373
          (3\|- 3  + 3)  |------------------
                        3|         +-+
                        \|      60\|3
                       +------------------+2
                       |    +-+    +-----+
           +---+       |- 3\|3  + \|- 373
      (- 3\|- 3  - 3)  |------------------  + 2
                      3|         +-+
                      \|      60\|3
   p= -----------------------------------------,
                         +------------------+
                         |    +-+    +-----+
             +---+       |- 3\|3  + \|- 373
          (3\|- 3  - 3)  |------------------
                        3|         +-+
                        \|      60\|3
         +------------------+2
         |    +-+    +-----+
         |- 3\|3  + \|- 373
      3  |------------------  + 1
        3|         +-+
        \|      60\|3
   p= ---------------------------]
            +------------------+
            |    +-+    +-----+
            |- 3\|3  + \|- 373
         3  |------------------
           3|         +-+
           \|      60\|3
                                      Type: List Equation Expression Integer

So, I mean eg a command that takes %F8 as input and gives as output the
correspondig equation (or rhs) in the second or third list.

Is there such command?

Alejandro Jakubi