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ASMFullList -- lists all ASMs of a fixed size

Description

For $1 \leq n \leq 7$, outputs the full list of $n \times n$ alternating sign matrices, including permutation matrices.

i1 : ASMFullList(3)

o1 = {| 1 0 0 |, | 0 1 0 |, | 1 0 0 |, | 0 1  0 |, | 0 0 1 |, | 0 1 0 |, | 0
      | 0 1 0 |  | 1 0 0 |  | 0 0 1 |  | 1 -1 1 |  | 1 0 0 |  | 0 0 1 |  | 0
      | 0 0 1 |  | 0 0 1 |  | 0 1 0 |  | 0 1  0 |  | 0 1 0 |  | 1 0 0 |  | 1
     ------------------------------------------------------------------------
     0 1 |}
     1 0 |
     0 0 |

o1 : List

Ways to use ASMFullList:

  • ASMFullList(ZZ)

For the programmer

The object ASMFullList is a method function.

The source of this document is in MatrixSchubert/ASM_ListsDOC.m2:18:0.