show all invariants|show all metadata
Input data and context
% TorusKnotQuotient1
s.r1.x0.y1.u2
,1
% Simplifies with options '-s' to r2.y1.y1.x0.u1.u0
% With options '-c2-oq', add these twists to optimize: y0.y0.y0.y0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-oq
(diagram)
(metadata)
% file 'examples/strong_inversions/TorusKnotQuotient1/cxBNr-c2-oq', generated by kht++ v0.1-21-ga152883 on Sat May 15 09:46:57 2021 GMT
1) h^-4 q^-12 δ^-2 ⬯<—D——⬯~>⬮—>⬮~>⬮—>⬮~>⬯
options -c2-q
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/TorusKnotQuotient1/cxBNr-c2-q', generated by kht++ v0.1-18-g2cfd40e on Wed May 12 15:28:39 2021 GMT
1) h^-8 q^-23 δ^-7/2 ⬮——D—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-oq
(diagram)
(metadata)
% file 'examples/strong_inversions/TorusKnotQuotient1/cxKhr-c2-oq', generated by kht++ v0.1-21-ga152883 on Sat May 15 09:46:57 2021 GMT
1) h^-5 q^-13 δ^-3/2 ⬯~~S^2~>⬯<— r(∞) q^-12 δ_^-3/2
2) h^-6 q^-15 δ^-3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-10 δ|^-2
options -c2-q
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/TorusKnotQuotient1/cxKhr-c2-q', generated by kht++ v0.1-18-g2cfd40e on Wed May 12 15:28:39 2021 GMT
1) h^-9 q^-24 δ^ -3 ⬮~~S^2~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<— r(-1/4) q^-96/5 δ|^-3
2) h^-6 q^-19 δ^-7/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-14 δ|^-4
Khovanov type D structure \(\mathrm{\widetilde{CKh}}(L)\)
options -c2-s
(diagram)
(metadata)
% file 'examples/strong_inversions/TorusKnotQuotient1/cxCKh-c2-s', generated by kht++ v0.1-18-g2cfd40e on Sat May 15 08:29:18 2021 GMT
1) h^0 q^2 δ^1 ⬮
2) h^2 q^6 δ^1 ⬮——H—>⬮
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/TorusKnotQuotient1/cxCKh-c2', generated by kht++ v0.1-18-g2cfd40e on Sat May 15 08:29:09 2021 GMT
1) h^0 q^2 δ^1 ⬮
2) h^2 q^6 δ^1 ⬮——H—>⬮