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Input data and context
% 9_44
s.r1.y0.x1.x2.y1.x0.x0.u1
,1
% Simplifies with options '-q' to l1.l4.y3.l5.y4.y4.y2.y3.y4.x5.y2.x6.l4.y5.x3.x2.x2.x1.x1.x2.x2.y3.y4.y5.u6.x5.x1.y2.u1.y1.u0.u0
% Simplifies with options '-qs' to l2.y1.l2.x1.y3.l4.x5.x5.x6.y3.y3.l6.y5.x4.x3.x2.y3.x2.x1.x1.x2.x2.x5.x4.u3.x1.y2.y3.u1.y2.u0.u1
% Simplifies with options '-qs' to l1.x2.l2.x3.l2.x1.y3.y4.x5.x6.y3.l6.y5.x4.x3.x2.y3.x2.x1.x1.x2.x2.x1.x1.x0.x2.u3.x1.u2.x3.u1.u0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxBNr-c2-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ 0 q^ 0 δ^ 0 ⬯
2) h^ 2 q^ 2 δ^-1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-2 q^ -4 δ^ 0 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-2 q^ -4 δ^ 0 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-6 q^-10 δ^ 1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c3-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxBNr-c3-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ 0 q^ 0 δ^ 0 ⬯
2) h^ 2 q^ 2 δ^-1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-2 q^ -4 δ^ 0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-2 q^ -4 δ^ 0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-6 q^-10 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c5-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxBNr-c5-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ 0 q^ 0 δ^ 0 ⬯
2) h^ 2 q^ 2 δ^-1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-2 q^ -4 δ^ 0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-2 q^ -4 δ^ 0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-6 q^-10 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c7-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxBNr-c7-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ 0 q^ 0 δ^ 0 ⬯
2) h^ 2 q^ 2 δ^-1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-2 q^ -4 δ^ 0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-2 q^ -4 δ^ 0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-6 q^-10 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c11-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxBNr-c11-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ 0 q^ 0 δ^ 0 ⬯
2) h^ 2 q^ 2 δ^-1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-2 q^ -4 δ^ 0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-2 q^ -4 δ^ 0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-6 q^-10 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxKhr-c2-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^-1 q^ -1 δ^ 1/2 ⬯~~S^2~>⬯<— r(∞) q^0 δ_^1/2
2) h^ 1 q^ 1 δ^-1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^6 δ|^-1
3) h^ 2 q^ 3 δ^-1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^8 δ|^-1
4) h^-3 q^ -5 δ^ 1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
5) h^-3 q^ -5 δ^ 1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
6) h^-2 q^ -3 δ^ 1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
7) h^-2 q^ -3 δ^ 1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
8) h^-7 q^-11 δ^ 3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^1
9) h^-6 q^ -9 δ^ 3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
options -c3-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxKhr-c3-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^-1 q^ -1 δ^ 1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^ 1 q^ 1 δ^-1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^6 δ|^-1
3) h^ 2 q^ 3 δ^-1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^8 δ|^-1
4) h^-3 q^ -5 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
5) h^-3 q^ -5 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
6) h^-2 q^ -3 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
7) h^-2 q^ -3 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
8) h^-7 q^-11 δ^ 3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^1
9) h^-6 q^ -9 δ^ 3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
options -c5-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxKhr-c5-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^-1 q^ -1 δ^ 1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^ 1 q^ 1 δ^-1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^6 δ|^-1
3) h^ 2 q^ 3 δ^-1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^8 δ|^-1
4) h^-3 q^ -5 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
5) h^-3 q^ -5 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
6) h^-2 q^ -3 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
7) h^-2 q^ -3 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
8) h^-7 q^-11 δ^ 3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^1
9) h^-6 q^ -9 δ^ 3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
options -c7-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxKhr-c7-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^-1 q^ -1 δ^ 1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^ 1 q^ 1 δ^-1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^6 δ|^-1
3) h^ 2 q^ 3 δ^-1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^8 δ|^-1
4) h^-3 q^ -5 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
5) h^-3 q^ -5 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
6) h^-2 q^ -3 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
7) h^-2 q^ -3 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
8) h^-7 q^-11 δ^ 3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^1
9) h^-6 q^ -9 δ^ 3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
options -c11-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxKhr-c11-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^-1 q^ -1 δ^ 1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^ 1 q^ 1 δ^-1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^6 δ|^-1
3) h^ 2 q^ 3 δ^-1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^8 δ|^-1
4) h^-3 q^ -5 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
5) h^-3 q^ -5 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
6) h^-2 q^ -3 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
7) h^-2 q^ -3 δ^ 1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
8) h^-7 q^-11 δ^ 3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^1
9) h^-6 q^ -9 δ^ 3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
Khovanov type D structure \(\mathrm{\widetilde{CKh}}(L)\)
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxCKh-c2', generated by kht, version v0.1, on Sun Mar 7 18:15:17 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-5 q^-10 δ^0 ⬮——H—>⬮
3) h^-4 q^ -8 δ^0 ⬮——H—>⬮
4) h^-3 q^ -6 δ^0 ⬮——H—>⬮
5) h^-2 q^ -4 δ^0 ⬮——H—>⬮
6) h^-2 q^ -4 δ^0 ⬮——H—>⬮
7) h^-1 q^ -2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
options -c3
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxCKh-c3', generated by kht, version v0.1, on Sun Mar 7 18:15:17 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-5 q^-10 δ^0 ⬮——H—>⬮
3) h^-4 q^ -8 δ^0 ⬮——H—>⬮
4) h^-3 q^ -6 δ^0 ⬮——H—>⬮
5) h^-2 q^ -4 δ^0 ⬮——H—>⬮
6) h^-2 q^ -4 δ^0 ⬮——H—>⬮
7) h^-1 q^ -2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
options -c5
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxCKh-c5', generated by kht, version v0.1, on Sun Mar 7 18:15:17 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-5 q^-10 δ^0 ⬮——H—>⬮
3) h^-4 q^ -8 δ^0 ⬮——H—>⬮
4) h^-3 q^ -6 δ^0 ⬮——H—>⬮
5) h^-2 q^ -4 δ^0 ⬮——H—>⬮
6) h^-2 q^ -4 δ^0 ⬮——H—>⬮
7) h^-1 q^ -2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
options -c7
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxCKh-c7', generated by kht, version v0.1, on Sun Mar 7 18:15:17 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-5 q^-10 δ^0 ⬮——H—>⬮
3) h^-4 q^ -8 δ^0 ⬮——H—>⬮
4) h^-3 q^ -6 δ^0 ⬮——H—>⬮
5) h^-2 q^ -4 δ^0 ⬮——H—>⬮
6) h^-2 q^ -4 δ^0 ⬮——H—>⬮
7) h^-1 q^ -2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 1 q^ 2 δ^0 ⬮——H—>⬮
options -c11
(diagram)
(metadata)
% file 'examples/strong_inversions/9_44/cxCKh-c11', generated by kht, version v0.1, on Sun Mar 7 18:15:17 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-5 q^-10 δ^0 ⬮——H—>⬮
3) h^-4 q^ -8 δ^0 ⬮——H—>⬮
4) h^-3 q^ -6 δ^0 ⬮——H—>⬮
5) h^-2 q^ -4 δ^0 ⬮——H—>⬮
6) h^-2 q^ -4 δ^0 ⬮——H—>⬮
7) h^-1 q^ -2 δ^0 ⬮——H—>⬮
8) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
9) h^ 1 q^ 2 δ^0 ⬮——H—>⬮