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Input data and context
% 8_9-1
s.l1.y0.y0.y1.y0.y0.x1.x0.x0.x1.u2
,1
% Symmetry 1 of a 2-bridge knot corresponding to the fraction 25/18 = [2,-2,2,2,-2,2] (Sakuma, Prop. 3.6, symmetry 1).
% Simplifies with options '-qs' to r2.y1.r3.y2.y2.y1.y1.y2.y3.y4.y4.y3.y3.x2.x1.u0.y2.y2.x1.x0.x0.x1.u2.y0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxBNr-c2-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^ -2 δ^0 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^ -8 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-5 q^ -8 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-4 q^ -6 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
6) h^-9 q^-14 δ^2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
7) h^-8 q^-12 δ^2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c3-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxBNr-c3-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^ -2 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^ -8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-5 q^ -8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-4 q^ -6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
6) h^-9 q^-14 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
7) h^-8 q^-12 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c5-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxBNr-c5-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^ -2 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^ -8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-5 q^ -8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-4 q^ -6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
6) h^-9 q^-14 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
7) h^-8 q^-12 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c7-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxBNr-c7-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^ -2 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^ -8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-5 q^ -8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-4 q^ -6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
6) h^-9 q^-14 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
7) h^-8 q^-12 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c11-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxBNr-c11-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^ -2 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^ -8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-5 q^ -8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-4 q^ -6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
6) h^-9 q^-14 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
7) h^-8 q^-12 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxKhr-c2-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ -1 q^ -1 δ^1/2 ⬯~~S^2~>⬯<— r(∞) q^0 δ_^1/2
2) h^ -2 q^ -3 δ^1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^ -1 q^ -1 δ^1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^ -6 q^ -9 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^ -6 q^ -9 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
6) h^ -5 q^ -7 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
7) h^ -5 q^ -7 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
8) h^ -5 q^ -7 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
9) h^ -4 q^ -5 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
10) h^-10 q^-15 δ^5/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^2
11) h^ -9 q^-13 δ^5/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-8 δ|^2
12) h^ -9 q^-13 δ^5/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-8 δ|^2
13) h^ -8 q^-11 δ^5/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^2
options -c3-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxKhr-c3-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ -1 q^ -1 δ^1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^ -2 q^ -3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^ -1 q^ -1 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^ -6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^ -6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
6) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
7) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
8) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
9) h^ -4 q^ -5 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
10) h^-10 q^-15 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^2
11) h^ -9 q^-13 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-8 δ|^2
12) h^ -9 q^-13 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-8 δ|^2
13) h^ -8 q^-11 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^2
options -c5-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxKhr-c5-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ -1 q^ -1 δ^1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^ -2 q^ -3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^ -1 q^ -1 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^ -6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^ -6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
6) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
7) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
8) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
9) h^ -4 q^ -5 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
10) h^-10 q^-15 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^2
11) h^ -9 q^-13 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-8 δ|^2
12) h^ -9 q^-13 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-8 δ|^2
13) h^ -8 q^-11 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^2
options -c7-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxKhr-c7-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ -1 q^ -1 δ^1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^ -2 q^ -3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^ -1 q^ -1 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^ -6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^ -6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
6) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
7) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
8) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
9) h^ -4 q^ -5 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
10) h^-10 q^-15 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^2
11) h^ -9 q^-13 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-8 δ|^2
12) h^ -9 q^-13 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-8 δ|^2
13) h^ -8 q^-11 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^2
options -c11-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxKhr-c11-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ -1 q^ -1 δ^1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^ -2 q^ -3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^ -1 q^ -1 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^ -6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^ -6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
6) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
7) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
8) h^ -5 q^ -7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
9) h^ -4 q^ -5 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
10) h^-10 q^-15 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^2
11) h^ -9 q^-13 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-8 δ|^2
12) h^ -9 q^-13 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-8 δ|^2
13) h^ -8 q^-11 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^2
Khovanov type D structure \(\mathrm{\widetilde{CKh}}(L)\)
options -c0
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxCKh-c0', generated by kht, version v0.1, on Sun Mar 7 15:45:53 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-4 q^-8 δ^0 ⬮——H—>⬮
3) h^-3 q^-6 δ^0 ⬮——H—>⬮
4) h^-2 q^-4 δ^0 ⬮——H—>⬮
5) h^-2 q^-4 δ^0 ⬮——H—>⬮
6) h^-1 q^-2 δ^0 ⬮——H—>⬮
7) h^-1 q^-2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
10) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
11) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
12) h^ 2 q^ 4 δ^0 ⬮——H—>⬮
13) h^ 3 q^ 6 δ^0 ⬮——H—>⬮
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxCKh-c2', generated by kht, version v0.1, on Sun Mar 7 15:58:53 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-4 q^-8 δ^0 ⬮——H—>⬮
3) h^-3 q^-6 δ^0 ⬮——H—>⬮
4) h^-2 q^-4 δ^0 ⬮——H—>⬮
5) h^-2 q^-4 δ^0 ⬮——H—>⬮
6) h^-1 q^-2 δ^0 ⬮——H—>⬮
7) h^-1 q^-2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
10) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
11) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
12) h^ 2 q^ 4 δ^0 ⬮——H—>⬮
13) h^ 3 q^ 6 δ^0 ⬮——H—>⬮
options -c3
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxCKh-c3', generated by kht, version v0.1, on Sun Mar 7 15:58:53 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-4 q^-8 δ^0 ⬮——H—>⬮
3) h^-3 q^-6 δ^0 ⬮——H—>⬮
4) h^-2 q^-4 δ^0 ⬮——H—>⬮
5) h^-2 q^-4 δ^0 ⬮——H—>⬮
6) h^-1 q^-2 δ^0 ⬮——H—>⬮
7) h^-1 q^-2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
10) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
11) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
12) h^ 2 q^ 4 δ^0 ⬮——H—>⬮
13) h^ 3 q^ 6 δ^0 ⬮——H—>⬮
options -c5
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxCKh-c5', generated by kht, version v0.1, on Sun Mar 7 15:58:53 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-4 q^-8 δ^0 ⬮——H—>⬮
3) h^-3 q^-6 δ^0 ⬮——H—>⬮
4) h^-2 q^-4 δ^0 ⬮——H—>⬮
5) h^-2 q^-4 δ^0 ⬮——H—>⬮
6) h^-1 q^-2 δ^0 ⬮——H—>⬮
7) h^-1 q^-2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
10) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
11) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
12) h^ 2 q^ 4 δ^0 ⬮——H—>⬮
13) h^ 3 q^ 6 δ^0 ⬮——H—>⬮
options -c7
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxCKh-c7', generated by kht, version v0.1, on Sun Mar 7 15:58:53 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-4 q^-8 δ^0 ⬮——H—>⬮
3) h^-3 q^-6 δ^0 ⬮——H—>⬮
4) h^-2 q^-4 δ^0 ⬮——H—>⬮
5) h^-2 q^-4 δ^0 ⬮——H—>⬮
6) h^-1 q^-2 δ^0 ⬮——H—>⬮
7) h^-1 q^-2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
10) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
11) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
12) h^ 2 q^ 4 δ^0 ⬮——H—>⬮
13) h^ 3 q^ 6 δ^0 ⬮——H—>⬮
options -c11
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/8_9-1/cxCKh-c11', generated by kht, version v0.1, on Sun Mar 7 15:58:53 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-4 q^-8 δ^0 ⬮——H—>⬮
3) h^-3 q^-6 δ^0 ⬮——H—>⬮
4) h^-2 q^-4 δ^0 ⬮——H—>⬮
5) h^-2 q^-4 δ^0 ⬮——H—>⬮
6) h^-1 q^-2 δ^0 ⬮——H—>⬮
7) h^-1 q^-2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
10) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
11) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
12) h^ 2 q^ 4 δ^0 ⬮——H—>⬮
13) h^ 3 q^ 6 δ^0 ⬮——H—>⬮