20191112, 04:46  #12 
"Ben"
Feb 2007
3,371 Posts 
I've found 922325356 so far. Finding anything > 929e6 is going to be really hard, at least using my dumb method.

20191112, 10:36  #13 
Sep 2017
2×7^{2} Posts 

20191112, 22:54  #14 
Sep 2017
2·7^{2} Posts 
Is there a solution, or are we trying to blindly find a solution?

20191113, 00:46  #15 
"Hugo"
Jul 2019
Germany
31 Posts 
You really do not have to worry so much, because there are many solutions. If no solutions had been known before the task was published, the "loophole" barrier would have been set lower.

20191113, 01:04  #16 
Sep 2017
2·7^{2} Posts 
Somehow, all of us have failed so far to find one of those "many solutions" :(

20191113, 01:41  #17 
"Ben"
Feb 2007
3,371 Posts 
After running overnight I've found several above the barrier now. Best was a lucky find at 924286698.

20191113, 01:54  #18 
Sep 2017
2·7^{2} Posts 

20191113, 03:23  #19 
Sep 2017
2×7^{2} Posts 
After days of running my best became 921979020

20191113, 09:05  #20 
Oct 2017
103 Posts 
Now I have found a matrix which is no Latin Matrix (same digits in the same line) and has a determinant 924844032, and each digit appears 9 times.
If there is a Latin Matrix with the same determinant  I don‘t know. 
20191113, 09:40  #21 
Oct 2017
103 Posts 
Update: 928284672
Unfortunately my code has a bug, which I try to find, but I have checked my results externally before presenting them here and sending them to the puzzlemaster. 
20191113, 11:46  #22 
Jun 2003
11375_{8} Posts 
I believe you (general you) are misinterpreting the puzzle. Sure, the plain wording does suggest that particular interpretation. But I believe the intent is to just avoid latin squares, period, and not determinant values arising from latin squares. Perhaps asking for a clarification is in order?

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