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Input data and context
% (-2,3,5)-pretzel knot
s.r1.x0.y2.y2.y1.y2.x0.u1
,1
% Fixed orientations: s.r1.x0.y2.y2.y1.y2.x0.u1,0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-q
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x5/cxBNr-c2-q', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 18:11:52 2023 GMT
1) h^ -4 q^-24 δ^ -8 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^-16 q^-47 δ^-15/2 ⬮——D—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-q
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x5/cxKhr-c2-q', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 18:11:52 2023 GMT
1) h^ -6 q^-27 δ^-15/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-22 δ|^-8
2) h^ -5 q^-25 δ^-15/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-20 δ|^-8
3) h^ -4 q^-23 δ^-15/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-18 δ|^-8
4) h^-17 q^-48 δ^ -7 ⬮~~S^2~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<— r(-1/12) q^-456/13 δ|^-7
Khovanov type D structure \(\mathrm{\widetilde{CKh}}(L)\)
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x5/cxCKh-c2', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 18:11:40 2023 GMT
1) h^0 q^ 8 δ^4 ⬮
2) h^6 q^18 δ^3 ⬮——H—>⬮
3) h^2 q^12 δ^4 ⬮——H—>⬮
4) h^4 q^14 δ^3 ⬮——H^2—>⬮
Rasmussen's s-invariant
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x5/cxCKh-c2', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 18:11:40 2023 GMT
8