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HOMFLY-PT Lattices

Visualizations of the HOMFLY polynomial lattice.

  • x axis: q powers
  • y axis: a powers
  • heatmap: coefficient of monomials, where orange is +1, green is -1, red is > 1, and blue is < 1

Note that we normalize by the lowest a and q powers so that it is a true polynomial.

1-colored K_53/2

1-Colored HOMFLY-PT Polynomial of \( K_{53/2}. \)

2-colored K_53/2

2-Colored HOMFLY-PT Polynomial of \( K_{53/2}. \)

3-colored K_53/2

3-Colored HOMFLY-PT Polynomial of \( K_{53/2}. \)

4-colored K_53/2

4-Colored HOMFLY-PT Polynomial of \( K_{53/2}. \)

5-colored K_53/2

5-Colored HOMFLY-PT Polynomial of \( K_{53/2}. \)

20-colored K_3/1

20-Colored HOMFLY-PT Polynomial of \( K_{3/1}. \)

20-colored K_13/8

20-Colored HOMFLY-PT Polynomial of \( K_{13/8}. \)