[R] replication of latin squares --- again

[lamack lamack]

Dear all, this is a newbie's question.

I have a 4x4 latin square replicated 3 times. That is:

          operators
batches 1  2  3  4
  1      A  B  C  D
  2      B  C  D  A
  3      C  D  A  B
  4      D  A  B  C

          operators
batches 1  2  3  4
  5      A  B  C  D
  6      B  C  D  A
  7      C  D  A  B
  8      D  A  B  C

          operators
batches 1  2  3  4
  9      A  B  C  D
  10     B  C  D  A
  11     C  D  A  B
  12     D  A  B  C

I have used the same operators but different batches.
How can I get the anova table for this design using R?
I have created a R object as

  bathces operators treatment  y   rep
   1         1        A        y1   1
   1         1        b        b2   1
   .         .        .        .    .
and so on

I appreciate in advance.

L.