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Input data and context
% (-2,3,9)-pretzel knot
s.r1.x0.y2.y2.y2.y2.y1.y2.x0.u1
,1
% Fixed orientations: s.r1.x0.y2.y2.y2.y1.y2.x0.u1,0
% Fixed orientations: s.r1.x0.y2.y2.y2.y2.y1.y2.x0.u1,0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-q
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x9/cxBNr-c2-q', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 18:16:10 2023 GMT
1) h^ -7 q^-38 δ^ -12 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^ -6 q^-36 δ^ -12 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-24 q^-71 δ^-23/2 ⬮——D—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-q
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x9/cxKhr-c2-q', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 18:16:10 2023 GMT
1) h^ -8 q^-39 δ^-23/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-34 δ|^-12
2) h^ -7 q^-37 δ^-23/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-32 δ|^-12
3) h^ -7 q^-37 δ^-23/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-32 δ|^-12
4) h^ -6 q^-35 δ^-23/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-30 δ|^-12
5) h^ -6 q^-35 δ^-23/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-30 δ|^-12
6) h^-25 q^-72 δ^ -11 ⬮~~S^2~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<— r(-1/20) q^-1072/21 δ|^-11
Khovanov type D structure \(\mathrm{\widetilde{CKh}}(L)\)
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x9/cxCKh-c2', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 18:16:02 2023 GMT
1) h^ 0 q^12 δ^6 ⬮
2) h^ 6 q^22 δ^5 ⬮——H—>⬮
3) h^ 8 q^26 δ^5 ⬮——H—>⬮
4) h^10 q^30 δ^5 ⬮——H—>⬮
5) h^ 2 q^16 δ^6 ⬮——H—>⬮
6) h^ 4 q^18 δ^5 ⬮——H^2—>⬮
Rasmussen's s-invariant
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x9/cxCKh-c2', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 18:16:02 2023 GMT
12