A rational Diophantine septuple

Find seven distinct nonzero rationals such that the product of any two, plus one, is a rational square; sextuples are known, septuples are not.

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	1	+{
	2	+ "domain": "mathematics",
	3	+ "topics": [
	4	+ "number-theory"
	5	+ ],
	6	+ "type": "construction",
	7	+ "source": {
	8	+ "key": "frontiermath-open",
	9	+ "name": "FrontierMath: Open Problems",
	10	+ "url": "https://epoch.ai/frontiermath/open-problems/diophantine-septuple",
	11	+ "id": "diophantine-septuple",
	12	+ "curator": "Epoch AI",
	13	+ "status": "unsolved",
	14	+ "as_of": "2026-10-20",
	15	+ "catalog": "0521c19bbd38"
	16	+ }
	17	+}