Processing of the square # 13 completed

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hoarfrost
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Message 1752 - Posted: 2 Apr 2023, 13:43:50 UTC
Last modified: 2 Apr 2023, 14:58:02 UTC

Dear participants, processing of the square # 13 is fully completed! The square:

0 1 2 3 4 5 6 7 8 9 A B
1 2 0 4 5 3 8 9 A B 6 7
5 3 4 2 0 1 7 8 9 A B 6
B 7 9 8 A 6 5 1 3 2 4 0
7 9 B A 6 8 3 2 4 0 5 1
6 8 A 9 B 7 1 3 2 4 0 5
2 0 1 5 3 4 A B 6 7 8 9
A 6 8 7 9 B 0 5 1 3 2 4
3 4 5 0 1 2 9 A B 6 7 8
9 B 7 6 8 A 4 0 5 1 3 2
4 5 3 1 2 0 B 6 7 8 9 A
8 A 6 B 7 9 2 4 0 5 1 3

has 740151578 orthogonal mates which puts it on the 14th place of the rating which include now 5216 positions.

Now "high part" of spectra of ODLS-12 looks like this (square # 13 marked by red):


Thank you for project attention, support and donation of CPU time!
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Mr P Hucker

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Message 1785 - Posted: 3 Jul 2023, 14:47:55 UTC - in response to Message 1752.  
Last modified: 3 Jul 2023, 14:48:16 UTC

Dear participants, processing of the square # 13 is fully completed!
Can we have a simple explanation as to what these visual maps mean? I have a degree including some maths, so you can be slightly technical. Although others might not.
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hoarfrost
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Message 1792 - Posted: 6 Jul 2023, 14:49:26 UTC - in response to Message 1785.  

Dear participants, processing of the square # 13 is fully completed!
Can we have a simple explanation as to what these visual maps mean? I have a degree including some maths, so you can be slightly technical. Although others might not.

Hello! This is map of "high part" of spectrum of values "Number of orthogonal diagonal latin squares" distribution. More information about this search you can read in this slides.
Whole known spectra you can view in the "rating".

Much more information about current research can be found in this topic.
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Message boards : News : Processing of the square # 13 completed

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