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Input data and context
% 8_19
s.l1.x0.x0.y2.y2.y2.u1
,1
% Simplifies with options '-q' to r1.y2.r1.y2.y3.x2.x2.x4.x1.x2.y0.x2.y1.x0.x2.x2.x4.x4.y1.y0.y2.y1.x0.x0.y1.x3.u2.x2.y0.u1
% Simplifies with options '-qs' to r2.x1.r3.x4.x4.x4.x1.x2.x2.x1.x2.x2.y0.x2.y1.y1.y0.x1.y2.y1.x3.x4.x3.x3.x3.x3.x2.u1.x1.u0
% Simplifies with options '-qs' to r2.x1.r1.y2.y3.x1.x2.x1.x1.y0.x2.y1.x0.x0.y1.y2.y0.y1.x0.x0.x3.x2.x3.y1.y2.y3.x2.x2.u4.u0
% Simplifies with options '-qs' to r2.x1.r2.y3.x2.x1.x1.x2.x2.l6.y5.y4.l5.x6.y5.y4.x3.x7.y6.y5.x4.u5.x1.x2.x3.u4.u1.u0.x0.x0.x0.x0.x0.x0.x0.x0.x0.x0
% Simplifies with options '-qs' to r2.r2.y3.x1.x2.x2.x1.x1.x2.y0.y1.x2.y1.y2.x1.x1.x1.x1.y0.y1.x0.y1.x3.u2.x2.x1.x2.x2.x2.u0
% Simplifies with options '-qs' to r1.y2.r2.y3.x2.x1.x1.x2.x2.l4.x5.x6.l5.x6.y5.y4.x7.y6.y5.y5.x3.u4.x1.x2.x3.u4.u1.u0.x0.x0.x0.x0.x0.x0.x0.x0.x0.x0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxBNr-c2-qs', generated by kht++ v0.1-56-g13efd45 on Mon Feb 5 20:41:19 2024 GMT
1) h^-8 q^-23 δ^-7/2 ⬮——D—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯
2) h^ 1 q^ -6 δ^ -4 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c3-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxBNr-c3-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^-1 q^ -9 δ^-7/2 ⬮~~S~>⬯
2) h^-8 q^-23 δ^-7/2 ⬮——D—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮
3) h^ 1 q^ -6 δ^ -4 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c5-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxBNr-c5-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^-1 q^ -9 δ^-7/2 ⬮~~S~>⬯
2) h^-8 q^-23 δ^-7/2 ⬮——D—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮
3) h^ 1 q^ -6 δ^ -4 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c7-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxBNr-c7-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^-1 q^ -9 δ^-7/2 ⬮~~S~>⬯
2) h^-8 q^-23 δ^-7/2 ⬮——D—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮
3) h^ 1 q^ -6 δ^ -4 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c11-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxBNr-c11-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^-1 q^ -9 δ^-7/2 ⬮~~S~>⬯
2) h^-8 q^-23 δ^-7/2 ⬮——D—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮
3) h^ 1 q^ -6 δ^ -4 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxKhr-c2-qs', generated by kht++ v0.1-56-g13efd45 on Mon Feb 5 20:41:19 2024 GMT
1) h^ 0 q^ -7 δ^-7/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-2 δ|^-4
2) h^ 1 q^ -5 δ^-7/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^0 δ|^-4
3) h^-9 q^-24 δ^ -3 ⬮~~S^2~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<— r(-1/8) q^-136/9 δ|^-3
options -c3-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxKhr-c3-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ 0 q^ -7 δ^-7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^-4
2) h^ 1 q^ -5 δ^-7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^-4
3) h^-9 q^-24 δ^ -3 ⬮~~(-S^2)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<— r(-1/8) q^-136/9 δ|^-3
options -c5-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxKhr-c5-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ 0 q^ -7 δ^-7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^-4
2) h^ 1 q^ -5 δ^-7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^-4
3) h^-9 q^-24 δ^ -3 ⬮~~(-S^2)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<— r(-1/8) q^-136/9 δ|^-3
options -c7-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxKhr-c7-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ 0 q^ -7 δ^-7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^-4
2) h^ 1 q^ -5 δ^-7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^-4
3) h^-9 q^-24 δ^ -3 ⬮~~(-S^2)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<— r(-1/8) q^-136/9 δ|^-3
options -c11-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxKhr-c11-qs', generated by kht, version v0.1, on Sun Mar 7 19:25:23 2021 GMT
1) h^ 0 q^ -7 δ^-7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^-4
2) h^ 1 q^ -5 δ^-7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^-4
3) h^-9 q^-24 δ^ -3 ⬮~~(-S^2)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<— r(-1/8) q^-136/9 δ|^-3
Khovanov type D structure \(\mathrm{\widetilde{CKh}}(L)\)
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxCKh-c2', generated by kht++ v0.1-56-g13efd45 on Mon Feb 5 20:31:12 2024 GMT
1) h^0 q^ 6 δ^3 ⬮
2) h^2 q^10 δ^3 ⬮——H—>⬮
3) h^4 q^12 δ^2 ⬮——H^2—>⬮
options -c3
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxCKh-c3', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^0 q^ 6 δ^3 ⬮
2) h^2 q^10 δ^3 ⬮——H—>⬮
3) h^4 q^12 δ^2 ⬮——H^2—>⬮
options -c5
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxCKh-c5', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^0 q^ 6 δ^3 ⬮
2) h^2 q^10 δ^3 ⬮——H—>⬮
3) h^4 q^12 δ^2 ⬮——H^2—>⬮
options -c7
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxCKh-c7', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^0 q^ 6 δ^3 ⬮
2) h^2 q^10 δ^3 ⬮——H—>⬮
3) h^4 q^12 δ^2 ⬮——H^2—>⬮
options -c11
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxCKh-c11', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
1) h^0 q^ 6 δ^3 ⬮
2) h^2 q^10 δ^3 ⬮——H—>⬮
3) h^4 q^12 δ^2 ⬮——H^2—>⬮
Rasmussen's s-invariant
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxCKh-c2', generated by kht++ v0.1-56-g13efd45 on Mon Feb 5 20:31:12 2024 GMT
6
options -c3
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxCKh-c3', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
6
options -c5
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxCKh-c5', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
6
options -c7
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxCKh-c7', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
6
options -c11
(diagram)
(metadata)
% file 'examples/strong_inversions/8_19/cxCKh-c11', generated by kht, version v0.1, on Sun Mar 7 18:15:16 2021 GMT
6