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User:Inthar/List of ternary parallelogram scales

< User:Inthar

Parallelogram-shaped (parallelogram substring with full first and last rows) scales for scale sizes from 6 to 36. Only axbycz for which a > b > c > 0 are shown.

Ternary parallelogram scales are always MOS substitution. (Proof forthcoming)

6 notes

  • xyxyxz row_count: 2 full_row_len: 3, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxyxxz row_count: 2 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]

8 notes

  • xyxzyxyz row_count: 2 full_row_len: 4, lattice basis: gx: [4, 0, 2], gy: [4, 1, 2]
  • xyxyxyxz row_count: 2 full_row_len: 4, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxxyxxxz row_count: 2 full_row_len: 4, lattice basis: gx: [2, 1, 3], gy: [4, 2, 3]

9 notes

  • xxyzxyxzy row_count: 3 full_row_len: 3, lattice basis: gx: [1, 1, 1], gy: [2, 1, 1]
  • xxyxxyxxz row_count: 3 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]

10 notes

  • xyxzyxzxyz row_count: 2 full_row_len: 5, lattice basis: gx: [3, 1, 1], gy: [1, 1, 1]
  • xyxyxzxyxz row_count: 2 full_row_len: 5, lattice basis: gx: [4, 2, 3], gy: [3, 1, 2]
  • xyxyxyxyxz row_count: 2 full_row_len: 5, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxxxyxxxxz row_count: 2 full_row_len: 5, lattice basis: gx: [1, 1, 3], gy: [4, 2, 3]

12 notes

  • xyxyxzyxyxyz row_count: 2 full_row_len: 6, lattice basis: gx: [3, -1, 2], gy: [3, 0, 2]
  • xyxyxyxyxyxz row_count: 2 full_row_len: 6, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxyxxyxxyxxz row_count: 4 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]
  • xxxyxxxyxxxz row_count: 3 full_row_len: 4, lattice basis: gx: [2, 1, 3], gy: [4, 2, 3]
  • xxxxxyxxxxxz row_count: 2 full_row_len: 6, lattice basis: gx: [0, 1, 3], gy: [4, 2, 3]

14 notes

  • xyxzyxzyxyzxyz row_count: 2 full_row_len: 7, lattice basis: gx: [3, -1, 1], gy: [4, 1, 2]
  • xyxyxzxyxzxyxz row_count: 2 full_row_len: 7, lattice basis: gx: [4, 2, 3], gy: [3, 1, 2]
  • xyxyxyxzxyxyxz row_count: 2 full_row_len: 7, lattice basis: gx: [4, 2, 3], gy: [2, 0, 2]
  • xyxyxyxyxyxyxz row_count: 2 full_row_len: 7, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxyxzxyxxzxyxz row_count: 2 full_row_len: 7, lattice basis: gx: [4, 2, 1], gy: [3, 1, 1]
  • xxxxxxyxxxxxxz row_count: 2 full_row_len: 7, lattice basis: gx: [-1, 1, 3], gy: [4, 2, 3]

15 notes

  • xxyzxyzxyxzyxzy row_count: 3 full_row_len: 5, lattice basis: gx: [3, 2, 2], gy: [1, 1, 1]
  • xxyxzxyxxzyxxyz row_count: 3 full_row_len: 5, lattice basis: gx: [3, 1, 1], gy: [2, 1, 1]
  • xxyxxyzxyxxyxzy row_count: 3 full_row_len: 5, lattice basis: gx: [4, 2, 1], gy: [3, 2, 1]
  • xxyxyxxzxyxxyxz row_count: 3 full_row_len: 5, lattice basis: gx: [2, 1, 2], gy: [4, 2, 1]
  • xxyxxyxxzxxyxxz row_count: 3 full_row_len: 5, lattice basis: gx: [1, 0, 0], gy: [1, 1, 2]
  • xxyxxyxxyxxyxxz row_count: 5 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]
  • xxxxyxxxxyxxxxz row_count: 3 full_row_len: 5, lattice basis: gx: [1, 1, 3], gy: [4, 2, 3]

16 notes

  • xyxzyxzyxzxyzxyz row_count: 2 full_row_len: 8, lattice basis: gx: [2, 0, 0], gy: [1, 1, 1]
  • xyxyxyxzyxyxyxyz row_count: 2 full_row_len: 8, lattice basis: gx: [2, -2, 2], gy: [2, -1, 2]
  • xyxyxzxyxyxzxyxz row_count: 2 full_row_len: 8, lattice basis: gx: [1, 0, 0], gy: [2, 0, 2]
  • xyxyxyxyxyxyxyxz row_count: 2 full_row_len: 8, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxxyzxxyxzxyxxzy row_count: 4 full_row_len: 4, lattice basis: gx: [2, 1, 2], gy: [-1, -1, 2]
  • xxyxxzxyxxzxxyxz row_count: 2 full_row_len: 8, lattice basis: gx: [0, 1, 1], gy: [3, 1, 1]
  • xxxyxxxyxxxyxxxz row_count: 4 full_row_len: 4, lattice basis: gx: [2, 1, 3], gy: [4, 2, 3]
  • xxxxxxxyxxxxxxxz row_count: 2 full_row_len: 8, lattice basis: gx: [-2, 1, 3], gy: [4, 2, 3]

18 notes

  • xyxyzxyxzyxyxzyxyz row_count: 2 full_row_len: 9, lattice basis: gx: [-1, 1, -1], gy: [3, 0, 2]
  • xyxzxyxzyxzxyxzxyz row_count: 2 full_row_len: 9, lattice basis: gx: [1, 0, 0], gy: [3, 2, 2]
  • xyxyxzxyxzxyxzxyxz row_count: 2 full_row_len: 9, lattice basis: gx: [4, 2, 3], gy: [3, 1, 2]
  • xyxyxyxyxzxyxyxyxz row_count: 2 full_row_len: 9, lattice basis: gx: [4, 2, 3], gy: [1, -1, 2]
  • xyxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 9, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxyxxzyxxyxzxyxxyz row_count: 3 full_row_len: 6, lattice basis: gx: [2, 1, -1], gy: [1, 0, 2]
  • xxyxxyxxyxxyxxyxxz row_count: 6 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]
  • xxxxxyxxxxxyxxxxxz row_count: 3 full_row_len: 6, lattice basis: gx: [0, 1, 3], gy: [4, 2, 3]
  • xxxxxxxxyxxxxxxxxz row_count: 2 full_row_len: 9, lattice basis: gx: [-3, 1, 3], gy: [4, 2, 3]

20 notes

  • xyxzyxzyxzyxyzxyzxyz row_count: 2 full_row_len: 10, lattice basis: gx: [2, -2, 0], gy: [4, 1, 2]
  • xxyzxyxzxyxzyxxzyxyz row_count: 4 full_row_len: 5, lattice basis: gx: [3, 2, 2], gy: [2, 1, 1]
  • xxyxyzxyxyxzyxyxxyzy row_count: 5 full_row_len: 4, lattice basis: gx: [-1, -3, 1], gy: [2, 2, 1]
  • xyxyxyxyxzyxyxyxyxyz row_count: 2 full_row_len: 10, lattice basis: gx: [1, -3, 2], gy: [1, -2, 2]
  • xyxyxyxzxyxyxzxyxyxz row_count: 2 full_row_len: 10, lattice basis: gx: [4, 2, 3], gy: [2, 0, 2]
  • xyxyxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 10, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxxyxzxyxxxyzxxyxxzy row_count: 4 full_row_len: 5, lattice basis: gx: [1, 0, 2], gy: [0, 0, 2]
  • xxxyxxzxxyxxxzxxyxxz row_count: 2 full_row_len: 10, lattice basis: gx: [2, 0, -2], gy: [5, 1, 1]
  • xxxyxxxyxxxzxxxyxxxz row_count: 4 full_row_len: 5, lattice basis: gx: [1, 0, 0], gy: [-1, 1, 2]
  • xxxyxxxyxxxyxxxyxxxz row_count: 5 full_row_len: 4, lattice basis: gx: [2, 1, 3], gy: [4, 2, 3]
  • xxxxyxxxxyxxxxyxxxxz row_count: 4 full_row_len: 5, lattice basis: gx: [1, 1, 3], gy: [4, 2, 3]
  • xxxxxxxxxyxxxxxxxxxz row_count: 2 full_row_len: 10, lattice basis: gx: [-4, 1, 3], gy: [4, 2, 3]

21 notes

  • xxyzxyzxyzxyxzyxzyxzy row_count: 3 full_row_len: 7, lattice basis: gx: [-1, 1, 0], gy: [1, 1, 1]
  • xyxyxzyxyxzxyyxzxyxyz row_count: 3 full_row_len: 7, lattice basis: gx: [4, -1, 3], gy: [2, 2, 1]
  • xxyzxxyzxyxzxyxzyxxzy row_count: 3 full_row_len: 7, lattice basis: gx: [2, 0, 1], gy: [3, 1, 2]
  • xxyxzyxxyzxyxxyzxyxzy row_count: 3 full_row_len: 7, lattice basis: gx: [0, -1, 1], gy: [2, 0, 2]
  • xxyxxyxxyzxyxxyxxyxzy row_count: 3 full_row_len: 7, lattice basis: gx: [1, 1, -2], gy: [0, 1, -2]
  • xxyxxyxxzxxyxxzxxyxxz row_count: 7 full_row_len: 3, lattice basis: gx: [1, 1, 2], gy: [1, 0, 0]
  • xxyxxyxxyxxzxxyxxyxxz row_count: 3 full_row_len: 7, lattice basis: gx: [1, 0, 0], gy: [-1, 0, 2]
  • xxyxxyxxyxxyxxyxxyxxz row_count: 7 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]
  • xxxyxxyxxxzxxyxxxyxxz row_count: 3 full_row_len: 7, lattice basis: gx: [0, 1, 2], gy: [2, 0, -2]
  • xxxxxxyxxxxxxyxxxxxxz row_count: 3 full_row_len: 7, lattice basis: gx: [-1, 1, 3], gy: [4, 2, 3]

22 notes

  • xyxzyxzyxzyxzxyzxyzxyz row_count: 2 full_row_len: 11, lattice basis: gx: [1, -1, -1], gy: [1, 1, 1]
  • xyxyxzyxyxzyxyxyzxyxyz row_count: 2 full_row_len: 11, lattice basis: gx: [1, -3, 1], gy: [3, 0, 2]
  • xyxyxzxyxzxyxzxyxzxyxz row_count: 2 full_row_len: 11, lattice basis: gx: [4, 2, 3], gy: [3, 1, 2]
  • xyxyxzxyxyxzxyxyxzxyxz row_count: 2 full_row_len: 11, lattice basis: gx: [1, 0, 0], gy: [2, 0, 2]
  • xyxyxyxzxyxyxyxzxyxyxz row_count: 2 full_row_len: 11, lattice basis: gx: [1, 0, 0], gy: [1, -1, 2]
  • xyxyxyxyxyxzxyxyxyxyxz row_count: 2 full_row_len: 11, lattice basis: gx: [4, 2, 3], gy: [0, -2, 2]
  • xyxyxyxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 11, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxyxzxyxzxyxxzxyxzxyxz row_count: 2 full_row_len: 11, lattice basis: gx: [1, 1, -1], gy: [5, 2, 2]
  • xxxyxxxzxxyxxxzxxxyxxz row_count: 2 full_row_len: 11, lattice basis: gx: [-3, 1, 1], gy: [5, 1, 1]
  • xxxxxxxxxxyxxxxxxxxxxz row_count: 2 full_row_len: 11, lattice basis: gx: [-5, 1, 3], gy: [4, 2, 3]

24 notes

  • xyxzxyzxyxzyxzxyxzyxzxyz row_count: 2 full_row_len: 12, lattice basis: gx: [0, 2, 0], gy: [3, 2, 2]
  • xxyzxyxyzxyxzyxyxzyxxyzy row_count: 3 full_row_len: 8, lattice basis: gx: [-2, 1, -1], gy: [2, 2, 1]
  • xyxyxyxyxyxzyxyxyxyxyxyz row_count: 2 full_row_len: 12, lattice basis: gx: [0, -4, 2], gy: [0, -3, 2]
  • xyxyxzxyxzxyxyxzxyxzxyxz row_count: 2 full_row_len: 12, lattice basis: gx: [1, 0, 0], gy: [0, -1, 1]
  • xyxyxyxyxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 12, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxyxzxxyxzxyxxzxyxxzxyxz row_count: 2 full_row_len: 12, lattice basis: gx: [2, 1, -1], gy: [3, 1, 1]
  • xxyxxyxzxyxxyxxzyxxyxxyz row_count: 3 full_row_len: 8, lattice basis: gx: [5, 2, 1], gy: [4, 2, 1]
  • xxxyxzxxyxxzxyxxxzyxxxyz row_count: 4 full_row_len: 6, lattice basis: gx: [1, -2, -13], gy: [2, 0, -3]
  • xxyxxyxxzxxyxxyxxzxxyxxz row_count: 8 full_row_len: 3, lattice basis: gx: [-1, 0, 2], gy: [4, 2, 3]
  • xxyxxyxxyxxyxxyxxyxxyxxz row_count: 8 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]
  • xxxyxxxyxxxyxxxyxxxyxxxz row_count: 6 full_row_len: 4, lattice basis: gx: [2, 1, 3], gy: [4, 2, 3]
  • xxxxxyxxxxxyxxxxxyxxxxxz row_count: 4 full_row_len: 6, lattice basis: gx: [0, 1, 3], gy: [4, 2, 3]
  • xxxxxxxyxxxxxxxyxxxxxxxz row_count: 3 full_row_len: 8, lattice basis: gx: [-2, 1, 3], gy: [4, 2, 3]
  • xxxxxxxxxxxyxxxxxxxxxxxz row_count: 2 full_row_len: 12, lattice basis: gx: [-6, 1, 3], gy: [4, 2, 3]

25 notes

  • xyxyzxyxzyxyxzyxzxyyxzxyz row_count: 5 full_row_len: 5, lattice basis: gx: [-3, 2, -2], gy: [3, 0, 2]
  • xxyxzyxxyzxyxxzyxyxzxyxyz row_count: 5 full_row_len: 5, lattice basis: gx: [2, 0, 2], gy: [0, -1, 1]
  • xxyxyxzyxyxxyxyzxyxyxxyzy row_count: 5 full_row_len: 5, lattice basis: gx: [1, -1, 2], gy: [-16, 2, -16]
  • xxyxyxxzxyxxzxyxxyxzxxyxz row_count: 5 full_row_len: 5, lattice basis: gx: [2, 1, 2], gy: [-3, -1, 1]
  • xxyxyxxyxyxxzxyxxyxyxxyxz row_count: 5 full_row_len: 5, lattice basis: gx: [-3, -2, 2], gy: [-1, -1, 2]
  • xxxxyzxxxyxzxxyxxzxyxxxzy row_count: 5 full_row_len: 5, lattice basis: gx: [4, 1, 1], gy: [3, 1, 1]
  • xxxxyxxxxyxxxxzxxxxyxxxxz row_count: 5 full_row_len: 5, lattice basis: gx: [1, 0, 0], gy: [-3, 1, 2]
  • xxxxyxxxxyxxxxyxxxxyxxxxz row_count: 5 full_row_len: 5, lattice basis: gx: [1, 1, 3], gy: [4, 2, 3]

26 notes

  • xyxzyxzyxzyxzyxyzxyzxyzxyz row_count: 2 full_row_len: 13, lattice basis: gx: [1, -3, -1], gy: [4, 1, 2]
  • xyxyxyzxyxyxzyxyxyxzyxyxyz row_count: 2 full_row_len: 13, lattice basis: gx: [-4, 1, -4], gy: [2, -1, 2]
  • xyxzxyxzxyxzyxzxyxzxyxzxyz row_count: 2 full_row_len: 13, lattice basis: gx: [4, 1, 2], gy: [0, 1, 0]
  • xyxyxzxyxzxyxzxyxzxyxzxyxz row_count: 2 full_row_len: 13, lattice basis: gx: [4, 2, 3], gy: [3, 1, 2]
  • xyxyxzxyxyxzxyxzxyxyxzxyxz row_count: 2 full_row_len: 13, lattice basis: gx: [4, 2, 3], gy: [0, -1, 1]
  • xyxyxyxzxyxyxzxyxyxzxyxyxz row_count: 2 full_row_len: 13, lattice basis: gx: [4, 2, 3], gy: [2, 0, 2]
  • xyxyxyxyxzxyxyxyxzxyxyxyxz row_count: 2 full_row_len: 13, lattice basis: gx: [4, 2, 3], gy: [1, -1, 2]
  • xyxyxyxyxyxyxzxyxyxyxyxyxz row_count: 2 full_row_len: 13, lattice basis: gx: [4, 2, 3], gy: [-1, -3, 2]
  • xyxyxyxyxyxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 13, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxyxxzxyxxzxyxxzxxyxzxxyxz row_count: 2 full_row_len: 13, lattice basis: gx: [2, 2, 3], gy: [3, 1, 1]
  • xxxxyxxxzxxxyxxxxzxxxyxxxz row_count: 2 full_row_len: 13, lattice basis: gx: [5, 0, -2], gy: [2, -1, -2]
  • xxxxxxxxxxxxyxxxxxxxxxxxxz row_count: 2 full_row_len: 13, lattice basis: gx: [-7, 1, 3], gy: [4, 2, 3]

27 notes

  • xxyzxyzxyzxyzxyxzyxzyxzyxzy row_count: 3 full_row_len: 9, lattice basis: gx: [0, 2, 1], gy: [1, 1, 1]
  • xyxyxzxyyxzxyxyxzyxyxzxyxyz row_count: 3 full_row_len: 9, lattice basis: gx: [-7, 1, -6], gy: [0, 2, -1]
  • xxyxzxyxzxyxxzyxxzyxxyzxxyz row_count: 3 full_row_len: 9, lattice basis: gx: [5, 2, 2], gy: [2, 1, 1]
  • xxyxxyzxyxxyzxyxxyxzyxxyxzy row_count: 3 full_row_len: 9, lattice basis: gx: [2, 2, -1], gy: [3, 2, 1]
  • xxyxyxzxyxxyxzxyxyxxzxyxyxz row_count: 3 full_row_len: 9, lattice basis: gx: [0, 1, -2], gy: [4, 2, 1]
  • xxyxxyxxzyxxyxxyxzxyxxyxxyz row_count: 9 full_row_len: 3, lattice basis: gx: [-1, -1, 2], gy: [1, 1, -4]
  • xxyxxyxxyxxyzxyxxyxxyxxyxzy row_count: 3 full_row_len: 9, lattice basis: gx: [3, 2, -2], gy: [2, 2, -2]
  • xxyxxyxxzxxyxxzxxyxxzxxyxxz row_count: 9 full_row_len: 3, lattice basis: gx: [1, 1, 2], gy: [1, 0, 0]
  • xxyxxyxxyxxyxxzxxyxxyxxyxxz row_count: 9 full_row_len: 3, lattice basis: gx: [-3, -1, 2], gy: [1, 0, 0]
  • xxyxxyxxyxxyxxyxxyxxyxxyxxz row_count: 9 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]
  • xxxxyxxxyxxxxzxxxyxxxxyxxxz row_count: 3 full_row_len: 9, lattice basis: gx: [-2, 1, 2], gy: [5, 0, -2]
  • xxxxxxxxyxxxxxxxxyxxxxxxxxz row_count: 3 full_row_len: 9, lattice basis: gx: [-3, 1, 3], gy: [4, 2, 3]

28 notes

  • xyxzyxzyxzyxzyxzxyzxyzxyzxyz row_count: 2 full_row_len: 14, lattice basis: gx: [5, 0, 1], gy: [1, 1, 1]
  • xyxyzxyxyzxyxzyxyxzyxyxzyxyz row_count: 2 full_row_len: 14, lattice basis: gx: [-4, 1, -3], gy: [3, 0, 2]
  • xxyzxyxzyxxzyxyzxyxzxyxzyxyz row_count: 4 full_row_len: 7, lattice basis: gx: [1, -1, 1], gy: [-3, 1, -2]
  • xyxyxyxyxyxyxzyxyxyxyxyxyxyz row_count: 2 full_row_len: 14, lattice basis: gx: [-1, -5, 2], gy: [-1, -4, 2]
  • xyxyxzxyxyxzxyxyxzxyxyxzxyxz row_count: 2 full_row_len: 14, lattice basis: gx: [1, 0, 0], gy: [2, 0, 2]
  • xyxyxyxyxzxyxyxyxyxzxyxyxyxz row_count: 2 full_row_len: 14, lattice basis: gx: [1, 0, 0], gy: [0, -2, 2]
  • xyxyxyxyxyxyxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 14, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxxyzxxyzxxyxzxyxzxyxxzyxxzy row_count: 4 full_row_len: 7, lattice basis: gx: [5, 2, 2], gy: [-3, -2, 1]
  • xxxyzxyxxzyxxyxzxyxxyzxxyxzy row_count: 7 full_row_len: 4, lattice basis: gx: [-1, -1, 1], gy: [1, 0, 2]
  • xxyxyxyxxzxyxyxxyxzxyxxyxyxz row_count: 4 full_row_len: 7, lattice basis: gx: [1, 0, 2], gy: [-6, -4, 1]
  • xxyxxzxxyxxzxyxxzxxyxxzxxyxz row_count: 2 full_row_len: 14, lattice basis: gx: [1, 2, 3], gy: [2, 0, -1]
  • xxxyxxxyzxxyxxxyxzxyxxxyxxzy row_count: 4 full_row_len: 7, lattice basis: gx: [-1, 0, 2], gy: [-13, -5, 2]
  • xxxyxxxyxxxzxxxyxxxzxxxyxxxz row_count: 7 full_row_len: 4, lattice basis: gx: [-1, 1, 2], gy: [1, 0, 0]
  • xxxyxxxyxxxyxxxzxxxyxxxyxxxz row_count: 4 full_row_len: 7, lattice basis: gx: [1, 0, 0], gy: [-4, 0, 2]
  • xxxyxxxyxxxyxxxyxxxyxxxyxxxz row_count: 7 full_row_len: 4, lattice basis: gx: [2, 1, 3], gy: [4, 2, 3]
  • xxxxyxxxxzxxxyxxxxzxxxxyxxxz row_count: 2 full_row_len: 14, lattice basis: gx: [-6, 1, 1], gy: [2, -1, -2]
  • xxxxxxyxxxxxxyxxxxxxyxxxxxxz row_count: 4 full_row_len: 7, lattice basis: gx: [-1, 1, 3], gy: [4, 2, 3]
  • xxxxxxxxxxxxxyxxxxxxxxxxxxxz row_count: 2 full_row_len: 14, lattice basis: gx: [-8, 1, 3], gy: [4, 2, 3]

30 notes

  • xyxzyxyzxyxzyxzyxyzxyxzyxyzxyz row_count: 2 full_row_len: 15, lattice basis: gx: [5, -2, 2], gy: [1, -2, 0]
  • xyxyxyxzyxyxyxzyxyxyxyzxyxyxyz row_count: 2 full_row_len: 15, lattice basis: gx: [-1, -5, 1], gy: [2, -1, 2]
  • xxyzxxyzxyxzyxxzyxxyzxyxzxyxzy row_count: 10 full_row_len: 3, lattice basis: gx: [4, 0, 3], gy: [0, -1, 1]
  • xyxyxzxyxzxyxzxyxzxyxzxyxzxyxz row_count: 2 full_row_len: 15, lattice basis: gx: [4, 2, 3], gy: [3, 1, 2]
  • xyxyxyxzxyxyxyxzxyxyxyxzxyxyxz row_count: 2 full_row_len: 15, lattice basis: gx: [1, 0, 0], gy: [1, -1, 2]
  • xyxyxyxyxyxyxyxzxyxyxyxyxyxyxz row_count: 2 full_row_len: 15, lattice basis: gx: [4, 2, 3], gy: [-2, -4, 2]
  • xyxyxyxyxyxyxyxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 15, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxyxzxyxzxyxzxyxxzxyxzxyxzxyxz row_count: 2 full_row_len: 15, lattice basis: gx: [3, 2, 0], gy: [2, 1, 0]
  • xxyxxyxxyxxzxxyxxyxxzxxyxxyxxz row_count: 10 full_row_len: 3, lattice basis: gx: [-1, 0, 2], gy: [1, 0, 0]
  • xxyxxyxxyxxyxxyxxyxxyxxyxxyxxz row_count: 10 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]
  • xxxxyxxxxyxxxxyxxxxyxxxxyxxxxz row_count: 6 full_row_len: 5, lattice basis: gx: [1, 1, 3], gy: [4, 2, 3]
  • xxxxxyxxxxxyxxxxxzxxxxxyxxxxxz row_count: 6 full_row_len: 5, lattice basis: gx: [1, 0, 0], gy: [-5, 1, 2]
  • xxxxxyxxxxxyxxxxxyxxxxxyxxxxxz row_count: 5 full_row_len: 6, lattice basis: gx: [0, 1, 3], gy: [4, 2, 3]
  • xxxxxxxxxyxxxxxxxxxyxxxxxxxxxz row_count: 3 full_row_len: 10, lattice basis: gx: [-4, 1, 3], gy: [4, 2, 3]
  • xxxxxxxxxxxxxxyxxxxxxxxxxxxxxz row_count: 2 full_row_len: 15, lattice basis: gx: [-9, 1, 3], gy: [4, 2, 3]

32 notes

  • xyxzyxzyxzyxzyxzyxyzxyzxyzxyzxyz row_count: 2 full_row_len: 16, lattice basis: gx: [5, -2, 1], gy: [4, 1, 2]
  • xyxyxzyxyxzyxyxzyxyxyzxyxyzxyxyz row_count: 2 full_row_len: 16, lattice basis: gx: [4, -3, 3], gy: [3, 0, 2]
  • xyxzxyxzyxzxyxzyxzxyxzxyzxyxzxyz row_count: 2 full_row_len: 16, lattice basis: gx: [3, 0, 1], gy: [3, 2, 2]
  • xxyzxxyzxyxzxyxzxyxzyxxzyxxzyxyz row_count: 4 full_row_len: 8, lattice basis: gx: [0, 2, -1], gy: [3, -2, 3]
  • xxyxyzxyxxyzyxxyxzyxyxxyzxyxyxzy row_count: 4 full_row_len: 8, lattice basis: gx: [-14, -19, 1], gy: [-1, -3, 1]
  • xyxyxyxyxyxyxyxzyxyxyxyxyxyxyxyz row_count: 2 full_row_len: 16, lattice basis: gx: [-2, -6, 2], gy: [-2, -5, 2]
  • xyxyxzxyxzxyxzxyxyxzxyxzxyxzxyxz row_count: 2 full_row_len: 16, lattice basis: gx: [1, 0, 0], gy: [3, 0, 3]
  • xyxyxyxzxyxyxzxyxyxzxyxyxzxyxyxz row_count: 2 full_row_len: 16, lattice basis: gx: [4, 2, 3], gy: [2, 0, 2]
  • xyxyxyxyxyxzxyxyxyxyxzxyxyxyxyxz row_count: 2 full_row_len: 16, lattice basis: gx: [4, 2, 3], gy: [0, -2, 2]
  • xyxyxyxyxyxyxyxyxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 16, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxyxzxyxxzxyxzxyxxzxyxzxxyxzxyxz row_count: 2 full_row_len: 16, lattice basis: gx: [1, 1, 2], gy: [5, 2, 2]
  • xxyxxyxyxxzxxyxyxxyxxzxyxxyxxyxz row_count: 4 full_row_len: 8, lattice basis: gx: [0, 2, -16], gy: [2, 1, -2]
  • xxxyxxxzyxxxyxxzxyxxxyxzxxyxxxyz row_count: 8 full_row_len: 4, lattice basis: gx: [1, 0, -2], gy: [2, -2, -18]
  • xxxyxxxyxzxyxxxyxxxyzxxyxxxyxxzy row_count: 8 full_row_len: 4, lattice basis: gx: [-3, -1, 2], gy: [-2, -1, 2]
  • xxxyxxzxxyxxzxxyxxxzxxyxxzxxyxxz row_count: 2 full_row_len: 16, lattice basis: gx: [1, -1, -4], gy: [4, 0, -1]
  • xxxyxxxyxxxzxxxyxxxyxxxzxxxyxxxz row_count: 8 full_row_len: 4, lattice basis: gx: [-4, 0, 2], gy: [4, 2, 3]
  • xxxyxxxyxxxyxxxyxxxyxxxyxxxyxxxz row_count: 8 full_row_len: 4, lattice basis: gx: [2, 1, 3], gy: [4, 2, 3]
  • xxxxxyxxxxzxxxxyxxxxxzxxxxyxxxxz row_count: 2 full_row_len: 16, lattice basis: gx: [3, -2, -5], gy: [4, -1, -2]
  • xxxxxxxyxxxxxxxyxxxxxxxyxxxxxxxz row_count: 4 full_row_len: 8, lattice basis: gx: [-2, 1, 3], gy: [4, 2, 3]
  • xxxxxxxxxxxxxxxyxxxxxxxxxxxxxxxz row_count: 2 full_row_len: 16, lattice basis: gx: [-10, 1, 3], gy: [4, 2, 3]

33 notes

  • xxyzxyzxyzxyzxyzxyxzyxzyxzyxzyxzy row_count: 3 full_row_len: 11, lattice basis: gx: [-4, 1, -1], gy: [1, 1, 1]
  • xxyzxyxzyxxyzxyzxyxzyxxyzxyxzyxzy row_count: 3 full_row_len: 11, lattice basis: gx: [-3, 1, -2], gy: [0, 2, 0]
  • xxyzxyxyzxyxzyxxyzyxxyzxyxzyxyxzy row_count: 3 full_row_len: 11, lattice basis: gx: [-6, 2, -4], gy: [4, -1, 3]
  • xxyzxxyzxxyzxyxzxyxzxyxzyxxzyxxzy row_count: 3 full_row_len: 11, lattice basis: gx: [5, 1, 3], gy: [3, 1, 2]
  • xxyxzyxxyxzyxxyzxyxxyzxyxxyzxyxzy row_count: 3 full_row_len: 11, lattice basis: gx: [2, -1, 3], gy: [2, 0, 2]
  • xxyxyxzxyxyxxzxyxyxzxyxxyxzxyxyxz row_count: 3 full_row_len: 11, lattice basis: gx: [-1, -1, 1], gy: [2, 2, -1]
  • xxyxxyxzyxxyxxyzxyxxyxxyzxyxxyxzy row_count: 3 full_row_len: 11, lattice basis: gx: [-4, -3, 1], gy: [0, -1, 2]
  • xxyxxyxxyxzxyxxyxxyxxzyxxyxxyxxyz row_count: 3 full_row_len: 11, lattice basis: gx: [2, 1, -2], gy: [1, 1, -2]
  • xxyxxyxxyxxyxxyzxyxxyxxyxxyxxyxzy row_count: 3 full_row_len: 11, lattice basis: gx: [0, 1, -5], gy: [-1, 1, -5]
  • xxyxxyxxzxyxxyxxzxxyxyxxzxxyxxyxz row_count: 3 full_row_len: 11, lattice basis: gx: [-4, -1, 3], gy: [5, 2, 1]
  • xxyxxyxxzxxyxxzxxyxxzxxyxxzxxyxxz row_count: 11 full_row_len: 3, lattice basis: gx: [1, 1, 2], gy: [1, 0, 0]
  • xxyxxyxxzxxyxxyxxzxxyxxyxxzxxyxxz row_count: 11 full_row_len: 3, lattice basis: gx: [-1, 0, 2], gy: [4, 2, 3]
  • xxyxxyxxyxxzxxyxxyxxyxxzxxyxxyxxz row_count: 11 full_row_len: 3, lattice basis: gx: [-3, -1, 2], gy: [4, 2, 3]
  • xxyxxyxxyxxyxxyxxzxxyxxyxxyxxyxxz row_count: 11 full_row_len: 3, lattice basis: gx: [-5, -2, 2], gy: [1, 0, 0]
  • xxyxxyxxyxxyxxyxxyxxyxxyxxyxxyxxz row_count: 11 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]
  • xxxxxyxxxxyxxxxxzxxxxyxxxxxyxxxxz row_count: 3 full_row_len: 11, lattice basis: gx: [-4, 1, 2], gy: [3, -2, -5]
  • xxxxxxxxxxyxxxxxxxxxxyxxxxxxxxxxz row_count: 3 full_row_len: 11, lattice basis: gx: [-5, 1, 3], gy: [4, 2, 3]

34 notes

  • xyxzyxzyxzyxzyxzyxzxyzxyzxyzxyzxyz row_count: 2 full_row_len: 17, lattice basis: gx: [4, -1, 0], gy: [1, 1, 1]
  • xyxyzxyxzyxyzxyxzyxyxzyxyzxyxzyxyz row_count: 2 full_row_len: 17, lattice basis: gx: [-3, 2, -2], gy: [5, -1, 3]
  • xyxyxyxyzxyxyxyxzyxyxyxyxzyxyxyxyz row_count: 2 full_row_len: 17, lattice basis: gx: [-7, 1, -7], gy: [1, -2, 2]
  • xyxzxyxzxyxzxyxzyxzxyxzxyxzxyxzxyz row_count: 2 full_row_len: 17, lattice basis: gx: [2, 0, 1], gy: [2, 2, 1]
  • xyxyxzxyxzxyxzxyxzxyxzxyxzxyxzxyxz row_count: 2 full_row_len: 17, lattice basis: gx: [4, 2, 3], gy: [3, 1, 2]
  • xyxyxzxyxzxyxyxzxyxzxyxyxzxyxzxyxz row_count: 2 full_row_len: 17, lattice basis: gx: [1, 0, 0], gy: [0, -1, 1]
  • xyxyxzxyxyxzxyxyxzxyxyxzxyxyxzxyxz row_count: 2 full_row_len: 17, lattice basis: gx: [1, 0, 0], gy: [2, 0, 2]
  • xyxyxyxzxyxyxzxyxyxyxzxyxyxzxyxyxz row_count: 2 full_row_len: 17, lattice basis: gx: [1, 0, 0], gy: [-2, -3, 1]
  • xyxyxyxyxzxyxyxyxzxyxyxyxzxyxyxyxz row_count: 2 full_row_len: 17, lattice basis: gx: [4, 2, 3], gy: [1, -1, 2]
  • xyxyxyxyxyxzxyxyxyxyxyxzxyxyxyxyxz row_count: 2 full_row_len: 17, lattice basis: gx: [1, 0, 0], gy: [-1, -3, 2]
  • xyxyxyxyxyxyxyxyxzxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 17, lattice basis: gx: [4, 2, 3], gy: [-3, -5, 2]
  • xyxyxyxyxyxyxyxyxyxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 17, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxyxzxxyxzxxyxzxyxxzxyxxzxyxxzxyxz row_count: 2 full_row_len: 17, lattice basis: gx: [5, 2, 0], gy: [3, 1, 1]
  • xxxyxxzxxxyxxzxxyxxxzxxyxxxzxxyxxz row_count: 2 full_row_len: 17, lattice basis: gx: [2, -1, -4], gy: [5, 1, 1]
  • xxxxxyxxxxxzxxxxyxxxxxzxxxxxyxxxxz row_count: 2 full_row_len: 17, lattice basis: gx: [-9, 1, 1], gy: [4, -1, -2]
  • xxxxxxxxxxxxxxxxyxxxxxxxxxxxxxxxxz row_count: 2 full_row_len: 17, lattice basis: gx: [-11, 1, 3], gy: [4, 2, 3]

35 notes

  • xyxyzxyxzyxzxyyxzxyzxyxzyxyxzyxzxyz row_count: 5 full_row_len: 7, lattice basis: gx: [0, 2, 0], gy: [4, -1, 2]
  • xyxyxzyxzxyxyzxyxzxyyxzxyxzyxyxzxyz row_count: 5 full_row_len: 7, lattice basis: gx: [-4, 1, -3], gy: [-1, 1, -1]
  • xxyxyzxyxyzxyxyxzyxyxzyxyxxyzyxxyzy row_count: 5 full_row_len: 7, lattice basis: gx: [0, -5, 2], gy: [2, 2, 1]
  • xxyxzyxyxzxyxyzxyxxzyxyxzyxxyzxyxyz row_count: 5 full_row_len: 7, lattice basis: gx: [-2, -5, 1], gy: [-3, 1, -3]
  • xxyxyxyzxyxyxyxzyxyxyxxyzyxyxxyxyzy row_count: 7 full_row_len: 5, lattice basis: gx: [-1, 2, -2], gy: [-2, 1, -2]
  • xxyxyxzxyxyxxzyxyxxyzxyxxyxzyxxyxyz row_count: 5 full_row_len: 7, lattice basis: gx: [-2, -3, 1], gy: [2, 0, 2]
  • xxyxyxxyxyzxyxyxxyxyxzyxyxxyxyxxyzy row_count: 5 full_row_len: 7, lattice basis: gx: [-7, -7, 1], gy: [0, 2, -2]
  • xxxyzxxyxzxxyxzxyxxzxyxxzyxxxzyxxyz row_count: 5 full_row_len: 7, lattice basis: gx: [-5, -2, 1], gy: [3, 1, 1]
  • xxyxyxzxxyxzxyxxyxzxyxxzxyxyxxzxyxz row_count: 7 full_row_len: 5, lattice basis: gx: [2, 1, -1], gy: [4, 2, 1]
  • xxyxyxyxxyxzxyxxyxyxyxxzxyxyxxyxyxz row_count: 5 full_row_len: 7, lattice basis: gx: [-2, 1, -5], gy: [2, 2, -2]
  • xxyxyxxzxyxxzxyxxzxyxxyxzxxyxzxxyxz row_count: 7 full_row_len: 5, lattice basis: gx: [2, 1, 2], gy: [-1, 0, 3]
  • xxyxyxxyxzxxyxyxxzxyxxyxyxxzxyxxyxz row_count: 5 full_row_len: 7, lattice basis: gx: [1, 1, -4], gy: [-1, -1, 2]
  • xxyxyxxyxyxxyxyxxzxyxxyxyxxyxyxxyxz row_count: 5 full_row_len: 7, lattice basis: gx: [-6, -4, 2], gy: [-4, -3, 2]
  • xxxxyxzxxxyxxzxxyxxxzxyxxxxzyxxxxyz row_count: 5 full_row_len: 7, lattice basis: gx: [5, 1, 1], gy: [4, 1, 1]
  • xxxxyxxzxyxxxxyxzxxyxxxxyzxxxyxxxzy row_count: 7 full_row_len: 5, lattice basis: gx: [-2, 0, 2], gy: [3, -1, -6]
  • xxxyxxyxxxzxxyxxxzxxyxxxyxxzxxxyxxz row_count: 5 full_row_len: 7, lattice basis: gx: [0, 1, 2], gy: [2, -1, -4]
  • xxxyxxyxxxyxxyxxxzxxyxxxyxxyxxxyxxz row_count: 5 full_row_len: 7, lattice basis: gx: [-5, -1, 2], gy: [2, 0, -5]
  • xxxxyxxxxyxxxxzxxxxyxxxxzxxxxyxxxxz row_count: 7 full_row_len: 5, lattice basis: gx: [-3, 1, 2], gy: [1, 0, 0]
  • xxxxyxxxxyxxxxyxxxxzxxxxyxxxxyxxxxz row_count: 5 full_row_len: 7, lattice basis: gx: [1, 0, 0], gy: [-7, 0, 2]
  • xxxxyxxxxyxxxxyxxxxyxxxxyxxxxyxxxxz row_count: 7 full_row_len: 5, lattice basis: gx: [1, 1, 3], gy: [4, 2, 3]
  • xxxxxxyxxxxxxyxxxxxxzxxxxxxyxxxxxxz row_count: 5 full_row_len: 7, lattice basis: gx: [-7, 1, 2], gy: [1, 0, 0]
  • xxxxxxyxxxxxxyxxxxxxyxxxxxxyxxxxxxz row_count: 5 full_row_len: 7, lattice basis: gx: [-1, 1, 3], gy: [4, 2, 3]

36 notes

  • xyxzyxyzxyzxyxzyxzyxyzxyxzyxzyxyzxyz row_count: 2 full_row_len: 18, lattice basis: gx: [-3, 2, -1], gy: [1, -2, 0]
  • xyxzyxzxyzxyxzyxzyxzxyzxyxzyxzxyzxyz row_count: 2 full_row_len: 18, lattice basis: gx: [3, -1, 0], gy: [0, 2, 1]
  • xyxyxzyxyxzyxyxzxyyxzxyyxzxyxyzxyxyz row_count: 3 full_row_len: 12, lattice basis: gx: [0, -5, 1], gy: [2, 2, 1]
  • xyxyxyxzyxyxyxzxyyxyxzxyxyyxzxyxyxyz row_count: 4 full_row_len: 9, lattice basis: gx: [-8, -18, 3], gy: [-2, 1, -2]
  • xyxyxyxyxyxyxyxyxzyxyxyxyxyxyxyxyxyz row_count: 2 full_row_len: 18, lattice basis: gx: [-3, -7, 2], gy: [-3, -6, 2]
  • xyxyxzxyxyxzxyxzxyxyxzxyxzxyxyxzxyxz row_count: 2 full_row_len: 18, lattice basis: gx: [4, 2, 3], gy: [0, -1, 1]
  • xyxyxyxzxyxyxyxzxyxyxzxyxyxyxzxyxyxz row_count: 2 full_row_len: 18, lattice basis: gx: [4, 2, 3], gy: [-2, -3, 1]
  • xyxyxyxyxyxyxyxyxyxyxyxyxyxyxyxyxyxz row_count: 2 full_row_len: 18, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
  • xxxyzxxxyzxxyxzxxyxzxyxxzxyxxzyxxxzy row_count: 4 full_row_len: 9, lattice basis: gx: [-6, -2, 3], gy: [2, 1, 2]
  • xxyxyxxzxyxyxxzxyxxyxzxyxxyxzxxyxyxz row_count: 3 full_row_len: 12, lattice basis: gx: [-2, -1, 1], gy: [4, 2, 1]
  • xxyxxzxyxxzxyxxzxyxxzxxyxzxxyxzxxyxz row_count: 2 full_row_len: 18, lattice basis: gx: [-1, 1, 2], gy: [3, 1, 1]
  • xxyxxyxxyxxzyxxyxxyxxyxzxyxxyxxyxxyz row_count: 12 full_row_len: 3, lattice basis: gx: [-3, -2, 2], gy: [0, 1, -7]
  • xxyxxyxxzxxyxxzxxyxxyxxzxxyxxzxxyxxz row_count: 3 full_row_len: 12, lattice basis: gx: [4, 2, 3], gy: [-5, -1, 1]
  • xxyxxyxxyxxyxxyxxyxxyxxyxxyxxyxxyxxz row_count: 12 full_row_len: 3, lattice basis: gx: [3, 1, 3], gy: [4, 2, 3]
  • xxxxxyzxxxxyxzxxxyxxzxxyxxxzxyxxxxzy row_count: 6 full_row_len: 6, lattice basis: gx: [0, 1, 2], gy: [-14, -1, 3]
  • xxxyxxxzxxyxxxzxxyxxxzxxxyxxzxxxyxxz row_count: 2 full_row_len: 18, lattice basis: gx: [-3, 2, 3], gy: [5, 1, 1]
  • xxxyxxxyxxxzxxxyxxxzxxxyxxxzxxxyxxxz row_count: 9 full_row_len: 4, lattice basis: gx: [-1, 1, 2], gy: [1, 0, 0]
  • xxxyxxxyxxxyxxxyxxxzxxxyxxxyxxxyxxxz row_count: 9 full_row_len: 4, lattice basis: gx: [-7, -1, 2], gy: [1, 0, 0]
  • xxxyxxxyxxxyxxxyxxxyxxxyxxxyxxxyxxxz row_count: 9 full_row_len: 4, lattice basis: gx: [2, 1, 3], gy: [4, 2, 3]
  • xxxxxyxxxxxyxxxxxyxxxxxyxxxxxyxxxxxz row_count: 6 full_row_len: 6, lattice basis: gx: [0, 1, 3], gy: [4, 2, 3]
  • xxxxxxxxyxxxxxxxxyxxxxxxxxyxxxxxxxxz row_count: 4 full_row_len: 9, lattice basis: gx: [-3, 1, 3], gy: [4, 2, 3]
  • xxxxxxxxxxxyxxxxxxxxxxxyxxxxxxxxxxxz row_count: 3 full_row_len: 12, lattice basis: gx: [-6, 1, 3], gy: [4, 2, 3]
  • xxxxxxxxxxxxxxxxxyxxxxxxxxxxxxxxxxxz row_count: 2 full_row_len: 18, lattice basis: gx: [-12, 1, 3], gy: [4, 2, 3]
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