Latin trades

From this page you can download data from my enumeration of all latin trades of size up to and including 19. For the abstract of the paper which reported these results click here. This paper (available on request) should be consulted for the definition/interpretation of all data given on this page.

If you want to know what format these files are in, it is my usual latin squares format.

1. Main class representatives of all latin trades
   • the main classes of size 4
   • the main classes of size 6
   • the main classes of size 7
   • the main classes of size 8
   • the main classes of size 9
   • the main classes of size 10
   • the main classes of size 11
   • the main classes of size 12
   • the main classes of size 13
   • the main classes of size 14
   • the main classes of size 15
   • the main classes of size 16 (328 kb gzipped file)
   • the main classes of size 17 (2 Mb gzipped file)
   • the main classes of size 18 (13 Mb gzipped file)
   • the main classes of size 19 (166 Mb gzipped file)
2. Main class representatives of the minimal trades (also known as primary trades)
   • the minimal trades of size 4
   • the minimal trades of size 6
   • the minimal trades of size 7
   • the minimal trades of size 8
   • the minimal trades of size 9
   • the minimal trades of size 10
   • the minimal trades of size 11
   • the minimal trades of size 12
   • the minimal trades of size 13
   • the minimal trades of size 14
   • the minimal trades of size 15
   • the minimal trades of size 16 (40 kb gzipped file)
   • the minimal trades of size 17 (168 kb gzipped file)
   • the minimal trades of size 18 (1 Mb gzipped file)
   • the minimal trades of size 19 (11 Mb gzipped file)
3. the homogeneous trades
4. Main class representatives of all unordered latin bi-trades
   • the bi-trades of size 4
   • the bi-trades of size 6
   • the bi-trades of size 7
   • the bi-trades of size 8
   • the bi-trades of size 9
   • the bi-trades of size 10
   • the bi-trades of size 11
   • the bi-trades of size 12
   • the bi-trades of size 13
   • the bi-trades of size 14
   • the bi-trades of size 15
   • the bi-trades of size 16 (346 kb gzipped file)
   • the bi-trades of size 17 (2 Mb gzipped file)
   • the bi-trades of size 18 (19 Mb gzipped file)
   • the bi-trades of size 19 (210 Mb gzipped file)
5. The main classes of separated (not necessarily connected!) unordered bi-trades
   • the separated bi-trades of size 4
   • the separated bi-trades of size 6
   • the separated bi-trades of size 7
   • the separated bi-trades of size 8
   • the separated bi-trades of size 9
   • the separated bi-trades of size 10
   • the separated bi-trades of size 11
   • the separated bi-trades of size 12
   • the separated bi-trades of size 13
   • the separated bi-trades of size 14
   • the separated bi-trades of size 15
   • the separated bi-trades of size 16 (60 kb gzipped file)
   • the separated bi-trades of size 17 (253 kb gzipped file)
   • the separated bi-trades of size 18 (2 Mb gzipped file)
   • the separated bi-trades of size 19 (14 Mb gzipped file)
6. The main classes of separated connected unordered bi-trades for all sizes up to 19, classified by genus
   • the bi-trades of genus 0 (2 Mb gzipped file)
   • the bi-trades of genus 1 (12 Mb gzipped file)
   • the bi-trades of genus 2 (2 Mb gzipped file)
   • the bi-trades of genus 3

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