show all invariants|show all metadata
Input data and context
% 8_20
s.l1.y0.x1.x2.y1.x0.u1
,1
% Simplifies with options '-q' to r2.r3.l5.y4.x5.y1.x2.y3.x1.l2.y3.y5.y4.y3.x2.y3.x1.y2.u1.x0.x1.y0.y0.x2.u3.y1.y0.u2.y1.u2
% Simplifies with options '-qs' to l2.y1.l2.x3.y4.l6.y2.x3.y5.x4.y3.y1.x2.x1.l2.y3.x2.y3.y4.u5.x1.x1.y3.u2.x3.x2.u1.x0.u1.y0
% Simplifies with options '-qs' to l2.l3.x1.y2.x4.l4.y3.l2.x7.x7.x8.y5.y1.y4.y3.x2.y3.y4.y5.u6.x5.x4.x1.y2.u3.x1.y3.u2.x0.u1
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/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^ -4 δ^0 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-6 q^-10 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c3-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/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^ -4 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-6 q^-10 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c5-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/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^ -4 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-6 q^-10 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c7-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/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^ -4 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-6 q^-10 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c11-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/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^ -4 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-6 q^-10 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/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^-3 q^ -5 δ^1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
3) h^-2 q^ -3 δ^1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
4) h^-7 q^-11 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^1
5) h^-6 q^ -9 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
options -c3-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/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^-3 q^ -5 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
3) h^-2 q^ -3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
4) h^-7 q^-11 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^1
5) h^-6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
options -c5-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/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^-3 q^ -5 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
3) h^-2 q^ -3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
4) h^-7 q^-11 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^1
5) h^-6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
options -c7-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/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^-3 q^ -5 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
3) h^-2 q^ -3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
4) h^-7 q^-11 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^1
5) h^-6 q^ -9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
options -c11-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/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^-3 q^ -5 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^0
3) h^-2 q^ -3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
4) h^-7 q^-11 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-6 δ|^1
5) 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/8_20/cxCKh-c2', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-5 q^-10 δ^0 ⬮——H—>⬮
3) h^-3 q^ -6 δ^0 ⬮——H—>⬮
4) h^-2 q^ -4 δ^0 ⬮——H—>⬮
5) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
options -c3
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/cxCKh-c3', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-5 q^-10 δ^0 ⬮——H—>⬮
3) h^-3 q^ -6 δ^0 ⬮——H—>⬮
4) h^-2 q^ -4 δ^0 ⬮——H—>⬮
5) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
options -c5
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/cxCKh-c5', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-5 q^-10 δ^0 ⬮——H—>⬮
3) h^-3 q^ -6 δ^0 ⬮——H—>⬮
4) h^-2 q^ -4 δ^0 ⬮——H—>⬮
5) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
options -c7
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/cxCKh-c7', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-5 q^-10 δ^0 ⬮——H—>⬮
3) h^-3 q^ -6 δ^0 ⬮——H—>⬮
4) h^-2 q^ -4 δ^0 ⬮——H—>⬮
5) h^ 0 q^ 0 δ^0 ⬮——H—>⬮
options -c11
(diagram)
(metadata)
% file 'examples/strong_inversions/8_20/cxCKh-c11', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬮
2) h^-5 q^-10 δ^0 ⬮——H—>⬮
3) h^-3 q^ -6 δ^0 ⬮——H—>⬮
4) h^-2 q^ -4 δ^0 ⬮——H—>⬮
5) h^ 0 q^ 0 δ^0 ⬮——H—>⬮