Conway lattices from consecutive-square identities

This index page collects ten explicit Conway–Lorentz constructions arising from identities A^2 + (A+1)^2 + \cdots + B^2 = X^2 with D = B-A+1.

Reference: A Lorentzian Construction in Dimension 88 and Infinitely Many Further Ranks.

• Rank 24 — parameters (A,B,X)=(1,24,70)
• Rank 88 — parameters (A,B,X)=(192,279,2222)
• Rank 96 — parameters (A,B,X)=(13,108,652)
• Rank 184 — parameters (A,B,X)=(7,190,1518)
• Rank 312 — parameters (A,B,X)=(15,326,3406)
• Rank 352 — parameters (A,B,X)=(280,631,8756)
• Rank 376 — parameters (A,B,X)=(210,585,7990)
• Rank 568 — parameters (A,B,X)=(443,1010,17750)
• Rank 600 — parameters (A,B,X)=(25,624,9010)
• Rank 856 — parameters (A,B,X)=(8617,9472,264718)