The following two vectors

U := [2, 3, 4]
V := [7, 8, 9]

are in a 3-Dim Alg over the PAdicRational(13).

Is there a way to rewrite their product

        2                          2                    3
W := [6 + 13 + 7 13 , 1 + 9 13 + 7 13 , 8 13 + 7 13 ]

in a different form where the powers of 13 are factored out of the brackets
per the following?

                                                                  2         
3
W  := [6, 1, 0] + [1, 9, 8] 13  + [7, 7, 0] 13 + [0, 0, 7] 13

Thanks,
SWA

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