show all invariants|show all metadata
Input data and context
% (-2,3,7)-pretzel knot
s.r1.x0.y2.y2.y2.y1.y2.x0.u1
,1
% Fixed orientations: s.r1.x0.y2.y2.y2.y1.y2.x0.u1,0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-q
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x7/cxBNr-c2-q', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 17:56:09 2023 GMT
1) h^ -2 q^-20 δ^ -8 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^ -1 q^-18 δ^ -8 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-16 q^-47 δ^-15/2 ⬮——D—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-q
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x7/cxKhr-c2-q', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 17:56:09 2023 GMT
1) h^ -3 q^-21 δ^-15/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-16 δ|^-8
2) h^ -2 q^-19 δ^-15/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-14 δ|^-8
3) h^ -2 q^-19 δ^-15/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-14 δ|^-8
4) h^ -1 q^-17 δ^-15/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-12 δ|^-8
5) h^-17 q^-48 δ^ -7 ⬮~~S^2~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<— r(-1/16) q^-528/17 δ|^-7
Khovanov type D structure \(\mathrm{\widetilde{CKh}}(L)\)
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x7/cxCKh-c2', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 17:55:55 2023 GMT
1) h^0 q^10 δ^5 ⬮
2) h^6 q^20 δ^4 ⬮——H—>⬮
3) h^8 q^24 δ^4 ⬮——H—>⬮
4) h^2 q^14 δ^5 ⬮——H—>⬮
5) h^4 q^16 δ^4 ⬮——H^2—>⬮
Rasmussen's s-invariant
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/pretzelm2x3x7/cxCKh-c2', generated by kht++ v0.1-61-g3880cba on Fri Jun 9 17:55:55 2023 GMT
10