(Knotscape image)

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Brunnian link. Presumably the simplest Brunnian link other than the Borromean rings.[1] The second in an infinite series of Brunnian links  if the blue and yellow loops in the illustration below have only one twist along each side, the result is the Borromean rings; if the blue and yellow loops have three twists along each side, the result is this L10a140 link; if the blue and yellow loops have five twists along each side, the result is a threeloop link with 14 overall crossings, etc.[2]

In a visual form which makes it evident that it is a Brunnian link.

Link Presentations
[edit Notes on L10a140's Link Presentations]
Planar diagram presentation

X_{6172} X_{2,16,3,15} X_{10,4,11,3} X_{14,6,15,5} X_{20,12,13,11} X_{12,14,5,13} X_{4,19,1,20} X_{8,17,9,18} X_{16,7,17,8} X_{18,9,19,10}

Gauss code

{1, 2, 3, 7}, {4, 1, 9, 8, 10, 3, 5, 6}, {6, 4, 2, 9, 8, 10, 7, 5}

The coefficients of the monomials are shown, along with their alternating sums (fixed , alternation over ).



5  4  3  2  1  0  1  2  3  4  5  χ 
11            1  1 
9           2   2 
7          3  1   2 
5         5  2    3 
3        4  3     1 
1       8  5      3 
1      5  8       3 
3     3  4        1 
5    2  5         3 
7   1  3          2 
9   2           2 
11  1            1 
