Hi

In your message of Mon, 9 Sep 2002 you indicate that
you have lists of links up to 19 crossings. If you can
find meaningfull numbering system for these links, it
would be a good thing.

With M.Deza and M.Shtogrin, I have found a list of 
alternating links for which we would be interested to
know their number in your system.

These informations would be included in a paper
to be submitted by the end of the year (see a draft
in attachment). M.Deza proposed you coauthorship
in an e-mail of Fri, 15 Nov 2002; this proposition
still holds.

  Mathieu

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Here is the list of Dowker code of alternating links
corresponding to i-hedrites. I apply all the rules you 
write to me on the coding of links in Dowker code.

Alternating Links with 11 crossing corresponding to i-hedrite
11  2  16  6  18  14  20  12  22  16  4  8  10  6  2
11  4  4  6  4  8  6  12  20  2  16  22  4  18  10  8  14
11  3  14  4  4  16  20  12  4  18  22  6  10  2  8  14
11  2  14  8  16  6  22  14  18  8  20  4  12  10  2
11  2  10  12  12  18  10  20  14  16  6  4  22  8  2
11  2  14  8  16  10  20  18  14  6  22  8  2  12  4
11  2  14  8  16  10  14  18  22  2  8  4  20  6  12
11  3  14  4  4  16  10  20  14  22  4  18  8  6  12  2
11  2  14  8  16  8  20  22  14  6  4  18  2  10  12
11  3  6  10  6  8  18  10  12  20  22  2  4  16  14  6
Alternating Links with 12 crossing corresponding to i-hedrite
12  4  12  4  4  4  14  18  22  16  20  24  4  10  2  8  12  6
12  5  6  4  4  6  4  8  12  16  4  20  2  24  6  22  14  18  10
12  3  12  6  6  14  20  18  24  16  22  10  2  6  8  12  4
12  2  12  12  14  16  18  20  22  24  10  8  6  4  2  12
12  2  12  12  14  20  12  16  22  6  18  10  4  24  8  2
12  2  12  12  14  8  18  12  22  4  20  2  24  6  16  10
12  4  8  4  4  8  10  14  22  18  20  6  24  4  12  8  16  2
12  3  4  16  4  6  14  12  22  16  2  20  24  8  4  10  18
12  3  8  8  8  10  18  2  20  24  14  22  6  4  16  12  8
12  2  14  10  16  10  22  18  14  6  20  8  2  24  4  12
12  2  18  6  20  16  14  24  4  22  18  8  10  6  12  2
12  3  10  8  6  12  20  10  24  18  6  16  22  4  8  14  2
12  2  16  8  18  12  16  24  2  20  8  6  14  22  10  4
12  3  4  16  4  6  20  14  22  18  8  4  2  10  24  16  12
12  2  14  10  16  10  22  14  24  4  18  20  6  8  2  12
12  2  18  6  20  22  18  12  16  24  2  4  10  6  14  8
12  3  12  6  6  14  18  12  20  24  6  22  10  8  16  4  2
12  4  6  6  6  6  8  14  16  18  20  4  24  10  22  2  6  12
12  2  18  6  20  14  16  18  2  6  22  24  12  10  8  4
12  4  6  6  6  6  8  14  20  18  22  4  24  10  6  12  16  2
Alternating Links with 13 crossing corresponding to i-hedrite
13  3  6  14  6  8  14  22  16  4  26  20  2  24  10  18  6  12
13  3  12  8  6  14  22  12  20  26  6  10  18  24  4  8  16  2
13  3  8  10  8  10  20  16  24  14  6  26  2  22  18  4  12  8
13  4  14  4  4  4  16  20  24  14  26  22  18  6  8  4  10  2  12
13  3  18  4  4  20  12  24  16  22  2  10  26  6  4  14  18  8
13  4  8  4  10  4  10  14  24  18  4  16  2  22  26  6  12  8  20
13  2  14  12  16  10  24  14  22  4  18  20  6  8  26  12  2
13  2  18  8  20  12  18  24  4  26  8  22  14  10  6  16  2
13  3  10  8  8  12  20  10  16  24  26  4  18  8  22  2  14  6
13  3  6  6  14  8  14  16  18  24  4  20  10  22  26  12  6  2
13  2  20  6  22  26  16  12  18  24  2  20  10  4  14  6  8
13  2  10  16  12  20  10  18  16  4  22  26  24  14  2  6  8
13  3  14  6  6  16  10  22  14  20  24  6  26  12  4  8  18  2
13  2  10  16  12  24  10  20  18  6  16  22  4  26  2  14  8
13  3  14  6  6  16  22  12  14  2  20  24  26  8  4  10  18  6
Alternating Links with 14 crossing corresponding to i-hedrite
14  2  14  14  16  26  22  18  28  24  20  10  4  12  6  14  8  2
14  2  14  14  16  28  26  24  22  20  18  10  12  14  2  4  6  8
14  4  16  4  4  4  18  22  26  16  20  24  28  8  6  14  4  12  2  10
14  5  8  4  4  8  4  10  14  18  22  24  6  26  4  28  2  12  8  20  16
14  3  8  12  8  10  22  18  26  14  6  28  20  24  2  16  4  12  8
14  2  20  8  22  14  28  16  26  8  4  20  24  12  2  6  10  18
14  2  22  6  24  20  12  26  18  4  10  28  22  6  14  16  8  2
14  4  8  8  6  6  10  18  8  24  28  14  20  4  26  12  2  6  16  22
14  2  18  10  20  24  12  28  26  8  2  22  14  4  16  18  6  10
14  4  10  4  4  10  12  16  26  10  22  20  6  18  4  28  8  14  24  2
14  3  4  20  4  6  18  16  26  20  8  4  24  14  28  10  2  22  12
14  4  4  12  8  4  6  18  14  26  20  8  4  24  16  28  10  2  22  12
14  4  6  6  10  6  8  14  16  24  20  4  28  10  26  6  2  22  18  12
14  2  22  6  24  8  20  28  16  2  22  26  10  14  6  12  18  4
14  2  14  14  16  18  20  4  2  14  28  26  24  22  6  8  10  12
14  2  16  12  18  10  16  20  24  28  2  8  26  22  6  14  4  12
14  3  16  6  6  18  24  10  22  28  26  20  4  12  2  8  14  16  6
14  3  10  10  8  12  22  10  24  16  4  28  20  26  8  2  14  18  6
14  2  10  18  12  18  26  2  22  6  16  24  8  28  4  14  10  20
14  2  22  6  24  18  12  26  16  22  6  28  2  8  14  10  4  20
14  2  14  14  16  24  12  20  2  26  6  22  10  4  28  8  18  14
14  4  6  8  6  8  8  16  24  22  26  18  6  28  10  4  14  20  12  2
14  2  18  10  20  12  22  24  14  28  18  6  26  2  10  16  8  4
14  2  12  16  14  26  12  20  22  6  10  18  24  4  28  2  16  8
14  3  6  16  6  8  18  24  16  14  20  26  6  28  12  4  22  10  2
14  3  16  6  6  18  10  16  22  24  2  8  28  26  4  14  20  12  6
14  2  22  6  24  16  20  26  2  28  22  8  10  12  6  18  14  4
14  2  14  14  16  20  12  14  18  2  28  6  24  26  4  8  10  22
14  2  18  10  20  28  8  24  14  2  18  26  4  12  10  16  6  22
14  5  8  4  4  8  4  10  14  16  12  18  20  24  22  26  8  28  4  2  6
14  2  22  6  24  26  20  22  4  18  6  8  2  28  14  12  16  10
14  4  6  8  6  8  8  12  16  22  24  26  28  14  10  2  20  6  18  4
14  2  22  6  24  18  28  14  2  4  20  22  10  26  6  16  8  12
14  3  16  6  6  18  24  20  22  4  2  8  6  28  26  14  12  10  16
14  3  10  10  8  12  20  10  18  16  22  28  24  26  14  2  4  8  6
14  2  14  14  16  26  18  28  2  4  6  22  24  12  8  14  10  20
Alternating Links with 15 crossing corresponding to i-hedrite
15  5  10  4  4  8  4  12  16  20  10  24  6  26  4  28  2  30  14  8  22  18
15  4  18  4  4  4  20  24  28  16  22  26  30  18  8  14  6  12  4  10  2
15  2  14  16  16  24  10  20  14  28  6  22  4  30  8  26  2  18  12
15  2  8  22  10  28  24  14  4  16  6  22  26  30  12  8  20  2  18
15  2  18  12  20  12  26  16  30  2  10  24  6  4  14  28  18  8  22
15  3  8  14  8  10  24  20  28  16  4  30  22  26  12  8  18  2  14  6
15  2  8  22  10  26  14  22  4  16  20  8  28  30  6  12  18  2  24
15  2  6  24  8  16  26  24  18  28  2  22  12  6  30  14  20  10  4
15  2  6  24  8  26  20  16  14  28  22  6  24  30  10  2  18  12  4
15  4  6  6  12  6  8  14  20  26  4  18  30  2  24  28  6  12  16  22  10
15  2  22  8  24  20  14  28  4  30  22  18  26  8  10  12  6  16  2
15  3  12  8  10  14  12  22  18  6  24  2  26  8  30  16  28  20  4  10
15  4  10  6  8  6  12  18  24  2  28  22  8  30  6  14  26  4  16  10  20
15  2  10  20  12  24  10  30  22  20  16  26  4  28  6  18  14  2  8
15  2  22  8  24  20  10  28  16  22  30  4  26  8  14  12  6  18  2
15  2  10  20  12  22  10  16  26  20  4  30  28  6  24  2  14  18  8
15  4  18  4  4  4  20  24  26  22  18  28  4  30  8  10  16  12  14  6  2
15  2  24  6  26  30  16  24  4  18  6  22  28  2  8  14  20  12  10
15  2  16  14  18  28  12  2  30  20  4  10  24  26  14  8  16  6  22
15  3  18  6  6  20  12  18  16  14  2  26  22  30  4  28  8  24  10  6
15  2  16  14  18  30  16  26  22  20  28  10  24  6  14  4  2  12  8
15  2  24  6  26  10  16  30  20  2  8  22  24  12  28  6  18  4  14
15  2  24  6  26  18  14  2  24  6  20  28  30  12  4  16  8  10  22
15  2  10  20  12  30  10  28  16  22  24  20  26  8  4  2  6  18  14
15  2  20  10  22  14  26  28  4  16  20  24  6  8  2  30  10  18  12
15  2  22  8  24  28  16  14  4  30  2  26  22  12  10  18  6  8  20
15  2  24  6  26  20  10  24  22  30  2  8  6  12  28  16  18  14  4
15  2  24  6  26  20  16  14  2  28  24  22  12  10  30  6  8  18  4
15  3  10  10  10  12  20  10  22  24  28  18  8  6  26  14  16  30  2  4
