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Jun 22, 2018 at 6:05 comment added Seva @user44191: good question; I do not know.
Jun 22, 2018 at 6:04 comment added Seva @AaronMeyerowitz: complex / real /rational / integer - all are equivalent for this problem.
Jun 22, 2018 at 5:14 answer added Aaron Meyerowitz timeline score: 3
Jun 21, 2018 at 22:40 comment added user44191 Is there a natural way to rephrase this in terms of the finite projective plane?
Jun 21, 2018 at 22:39 comment added Aaron Meyerowitz Are the variables $x_s$ interpreted as real variables or could they take values from some finite abelian group?
Jun 21, 2018 at 19:53 comment added Seva @user44191: Absolutely. I oversimplified the problem trying to make it more appealing. I've made an edit to fix the issue.
Jun 21, 2018 at 19:51 history edited Seva CC BY-SA 4.0
added 115 characters in body
Jun 21, 2018 at 19:35 comment added user44191 If I've understood correctly, would $S=\{(0,0),(1,0),(2,1),(2,2),(1,2),(0,1)\}$ have the obvious nontrivial solution given by alternating values for the points in the order listed?
Jun 21, 2018 at 19:11 history edited Seva CC BY-SA 4.0
edited title
Jun 21, 2018 at 18:56 history asked Seva CC BY-SA 4.0