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Input data and context
% 8_15-1
s.r1.y0.y0.y1.y2.y1.y0.y0.u1
,1
% Simplifies with options '-q' to l1.l3.x2.x4.x3.y4.l3.x4.l4.x5.y4.y3.y3.x2.x1.u0.y2.y2.y3.y4.y4.y1.y1.y0.y0.y1.u2.y0.x1.u2.u0.y0.y0.y0.y0.y0
% Simplifies with options '-qs' to l1.x2.l4.x3.y2.y4.y2.y1.x0.x1.y0.u2.l1.x2.y1.l1.y3.x2.x3.y1.y2.y2.y2.y3.y4.y3.x0.u1.y0.y4.y4.x3.u4.y1.u2
% Simplifies with options '-qs' to l1.y0.x2.l3.y2.y2.x1.l2.y1.y3.y3.u4.y1.y1.y1.y2.y3.y2.y3.y3.y2.x1.u0.y1.y1.y1.u0.y0.y0.y0.y0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxBNr-c2-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ -1 q^ -3 δ^-1/2 ⬮~~S~>⬯
2) h^ -2 q^ -5 δ^-1/2 ⬮<~S^2~~⬮<—⬮<~⬯—>⬯~>⬮—>⬮~>⬮—>⬮
3) h^ -9 q^-16 δ^ 1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^ -9 q^-16 δ^ 1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-13 q^-22 δ^ 2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c3-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxBNr-c3-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ -1 q^ -3 δ^-1/2 ⬮~~S~>⬯
2) h^ -2 q^ -5 δ^-1/2 ⬮<~S^2~~⬮<—⬮<~⬯—>⬯~>⬮—>⬮~>⬮—>⬮
3) h^ -9 q^-16 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^ -9 q^-16 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-13 q^-22 δ^ 2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c5-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxBNr-c5-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ -1 q^ -3 δ^-1/2 ⬮~~S~>⬯
2) h^ -2 q^ -5 δ^-1/2 ⬮<~S^2~~⬮<—⬮<~⬯—>⬯~>⬮—>⬮~>⬮—>⬮
3) h^ -9 q^-16 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^ -9 q^-16 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-13 q^-22 δ^ 2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c7-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxBNr-c7-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ -1 q^ -3 δ^-1/2 ⬮~~S~>⬯
2) h^ -2 q^ -5 δ^-1/2 ⬮<~S^2~~⬮<—⬮<~⬯—>⬯~>⬮—>⬮~>⬮—>⬮
3) h^ -9 q^-16 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^ -9 q^-16 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-13 q^-22 δ^ 2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c11-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxBNr-c11-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ -1 q^ -3 δ^-1/2 ⬮~~S~>⬯
2) h^ -2 q^ -5 δ^-1/2 ⬮<~S^2~~⬮<—⬮<~⬯—>⬯~>⬮—>⬮~>⬮—>⬮
3) h^ -9 q^-16 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^ -9 q^-16 δ^ 1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-13 q^-22 δ^ 2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxKhr-c2-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ -5 q^ -9 δ^1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬯<— r(1/4) q^-24/5 δ|^0
2) h^ -6 q^-11 δ^1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^0
3) h^-10 q^-17 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-12 δ|^1
4) h^-10 q^-17 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-12 δ|^1
5) h^ -9 q^-15 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^1
6) h^ -9 q^-15 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^1
7) h^-14 q^-23 δ^5/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-18 δ|^2
8) h^-13 q^-21 δ^5/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-16 δ|^2
options -c3-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxKhr-c3-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ -5 q^ -9 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬯<— r(1/4) q^-24/5 δ|^0
2) h^ -6 q^-11 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^0
3) h^-10 q^-17 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-12 δ|^1
4) h^-10 q^-17 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-12 δ|^1
5) h^ -9 q^-15 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^1
6) h^ -9 q^-15 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^1
7) h^-14 q^-23 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-18 δ|^2
8) h^-13 q^-21 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-16 δ|^2
options -c5-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxKhr-c5-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ -5 q^ -9 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬯<— r(1/4) q^-24/5 δ|^0
2) h^ -6 q^-11 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^0
3) h^-10 q^-17 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-12 δ|^1
4) h^-10 q^-17 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-12 δ|^1
5) h^ -9 q^-15 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^1
6) h^ -9 q^-15 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^1
7) h^-14 q^-23 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-18 δ|^2
8) h^-13 q^-21 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-16 δ|^2
options -c7-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxKhr-c7-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ -5 q^ -9 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬯<— r(1/4) q^-24/5 δ|^0
2) h^ -6 q^-11 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^0
3) h^-10 q^-17 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-12 δ|^1
4) h^-10 q^-17 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-12 δ|^1
5) h^ -9 q^-15 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^1
6) h^ -9 q^-15 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^1
7) h^-14 q^-23 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-18 δ|^2
8) h^-13 q^-21 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-16 δ|^2
options -c11-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxKhr-c11-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ -5 q^ -9 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬯<— r(1/4) q^-24/5 δ|^0
2) h^ -6 q^-11 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^0
3) h^-10 q^-17 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-12 δ|^1
4) h^-10 q^-17 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-12 δ|^1
5) h^ -9 q^-15 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^1
6) h^ -9 q^-15 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-10 δ|^1
7) h^-14 q^-23 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-18 δ|^2
8) h^-13 q^-21 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-16 δ|^2
Khovanov type D structure \(\mathrm{\widetilde{CKh}}(L)\)
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxCKh-c2', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^ 0 q^ -2 δ^-1 ⬮
2) h^-6 q^-14 δ^-1 ⬮——H—>⬮
3) h^-5 q^-12 δ^-1 ⬮——H—>⬮
4) h^-4 q^-10 δ^-1 ⬮——H—>⬮
5) h^-3 q^ -8 δ^-1 ⬮——H—>⬮
6) h^-3 q^ -8 δ^-1 ⬮——H—>⬮
7) h^-2 q^ -6 δ^-1 ⬮——H—>⬮
8) h^-1 q^ -4 δ^-1 ⬮——H—>⬮
options -c3
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxCKh-c3', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^ 0 q^ -2 δ^-1 ⬮
2) h^-6 q^-14 δ^-1 ⬮——H—>⬮
3) h^-5 q^-12 δ^-1 ⬮——H—>⬮
4) h^-4 q^-10 δ^-1 ⬮——H—>⬮
5) h^-3 q^ -8 δ^-1 ⬮——H—>⬮
6) h^-3 q^ -8 δ^-1 ⬮——H—>⬮
7) h^-2 q^ -6 δ^-1 ⬮——H—>⬮
8) h^-1 q^ -4 δ^-1 ⬮——H—>⬮
options -c5
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxCKh-c5', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^ 0 q^ -2 δ^-1 ⬮
2) h^-6 q^-14 δ^-1 ⬮——H—>⬮
3) h^-5 q^-12 δ^-1 ⬮——H—>⬮
4) h^-4 q^-10 δ^-1 ⬮——H—>⬮
5) h^-3 q^ -8 δ^-1 ⬮——H—>⬮
6) h^-3 q^ -8 δ^-1 ⬮——H—>⬮
7) h^-2 q^ -6 δ^-1 ⬮——H—>⬮
8) h^-1 q^ -4 δ^-1 ⬮——H—>⬮
options -c7
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxCKh-c7', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^ 0 q^ -2 δ^-1 ⬮
2) h^-6 q^-14 δ^-1 ⬮——H—>⬮
3) h^-5 q^-12 δ^-1 ⬮——H—>⬮
4) h^-4 q^-10 δ^-1 ⬮——H—>⬮
5) h^-3 q^ -8 δ^-1 ⬮——H—>⬮
6) h^-3 q^ -8 δ^-1 ⬮——H—>⬮
7) h^-2 q^ -6 δ^-1 ⬮——H—>⬮
8) h^-1 q^ -4 δ^-1 ⬮——H—>⬮
options -c11
(diagram)
(metadata)
% file 'examples/strong_inversions/8_21-1/cxCKh-c11', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^ 0 q^ -2 δ^-1 ⬮
2) h^-6 q^-14 δ^-1 ⬮——H—>⬮
3) h^-5 q^-12 δ^-1 ⬮——H—>⬮
4) h^-4 q^-10 δ^-1 ⬮——H—>⬮
5) h^-3 q^ -8 δ^-1 ⬮——H—>⬮
6) h^-3 q^ -8 δ^-1 ⬮——H—>⬮
7) h^-2 q^ -6 δ^-1 ⬮——H—>⬮
8) h^-1 q^ -4 δ^-1 ⬮——H—>⬮