WE CLARK: Starting at N = 29 using the values of -1 and + 1 given by Warren and using Maple with Digits = 1000, I get different values when I round his determinants to the nearest integer.
--good. My values were inexact.
For example, for N = 29 I get Maple's value = -668472148627227148288 Warren's value = 668472148627227148000 It seems that in Warren's numbers there are not enough significant digits above N = 28.
--true.
Also in the case of N = 29 I get a different sign for the determinant.
--above 28 I printed out |det| not det. --Note: It is conceivable, but highly unlikely, that my maxdet circulants are not really maxdet, because there is some other one with a determinant like 1.00000000001X higher. I doubt that pathology has happened but it might be a concern if this table were extended further to say N=50 or 60, and I cannot promise with 100% certainty that it did not happen already. Of course it would be possible to enhance my program to overcome these quibbles, but I did not. --If Clark has computed all the exact integer values via MAPLE, please email them to me warren.wds AT gmail.com