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Input data and context
% TorusKnot
r1.r2.r3.y2.y1.y0.y2.y1.y0.y2.y1.y0.y2.y1.y0.y2.y1.y0.u3.u2
,1
% With options '-c2', add these twists to optimize: x0.x0
% With options '-c3', add these twists to optimize: x0
% With options '-c5', add these twists to optimize: x0
% With options '-c7', add these twists to optimize: x0
% With options '-c11', add these twists to optimize: x0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c0
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxBNr-c0', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^8 q^25 δ^ 9/2 ⬯~~1/2.S~>⬮—>⬮<~⬯<—
2) h^0 q^13 δ^13/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮
options -c2
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxBNr-c2', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^0 q^13 δ^13/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮<~⬮<—⬮<~⬯<—⬯~>⬮
options -c3
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxBNr-c3', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^8 q^25 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮<~⬯<—
2) h^0 q^13 δ^13/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮
options -c5
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxBNr-c5', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^8 q^25 δ^ 9/2 ⬯~~3.S~>⬮—>⬮<~⬯<—
2) h^0 q^13 δ^13/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮
options -c7
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxBNr-c7', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^8 q^25 δ^ 9/2 ⬯~~4.S~>⬮—>⬮<~⬯<—
2) h^0 q^13 δ^13/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮
options -c11
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxBNr-c11', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^8 q^25 δ^ 9/2 ⬯~~6.S~>⬮—>⬮<~⬯<—
2) h^0 q^13 δ^13/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c0
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxKhr-c0', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^ 5 q^20 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^43/2 δ|^9/2
2) h^ 7 q^24 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯—>⬯~>⬮<—⬮<~⬯<— s1(0) q^53/2 δ|^9/2
3) h^ 3 q^18 δ^6 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s1(0) q^21 δ|^11/2
4) h^-1 q^12 δ^7 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^17 δ|^13/2
options -c2
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxKhr-c2', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^ 3 q^18 δ^6 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^23 δ|^11/2
2) h^-1 q^12 δ^7 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^17 δ|^13/2
3) h^ 5 q^20 δ^5 ⬯~~S~>⬮—>⬮<~⬯—>⬯~>⬮—>⬮~>⬮<—⬮<~⬯<—⬯~>⬮—>⬮<~⬮<—⬮<~⬯<— r(3/5) q^195/8 δ|^9/2
options -c3
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxKhr-c3', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^ 5 q^20 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^43/2 δ|^9/2
2) h^ 7 q^24 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^51/2 δ|^9/2
3) h^ 8 q^26 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^55/2 δ|^9/2
4) h^ 3 q^18 δ^6 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s1(0) q^21 δ|^11/2
5) h^-1 q^12 δ^7 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^17 δ|^13/2
options -c5
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxKhr-c5', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^ 5 q^20 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^43/2 δ|^9/2
2) h^ 7 q^24 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯—>⬯~>⬮<—⬮<~⬯<— s1(0) q^53/2 δ|^9/2
3) h^ 3 q^18 δ^6 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s1(0) q^21 δ|^11/2
4) h^-1 q^12 δ^7 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^17 δ|^13/2
options -c7
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxKhr-c7', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^ 5 q^20 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^43/2 δ|^9/2
2) h^ 7 q^24 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯—>⬯~>⬮<—⬮<~⬯<— s1(0) q^53/2 δ|^9/2
3) h^ 3 q^18 δ^6 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s1(0) q^21 δ|^11/2
4) h^-1 q^12 δ^7 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^17 δ|^13/2
options -c11
(diagram)
(metadata)
% file 'examples/miscellaneous/TorusKnot/cxKhr-c11', generated by kht, version v0.1, on Sun Mar 7 14:56:16 2021 GMT
1) h^ 5 q^20 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^43/2 δ|^9/2
2) h^ 7 q^24 δ^5 ⬯~~(-S)~>⬮—>⬮<~⬯—>⬯~>⬮<—⬮<~⬯<— s1(0) q^53/2 δ|^9/2
3) h^ 3 q^18 δ^6 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s1(0) q^21 δ|^11/2
4) h^-1 q^12 δ^7 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^17 δ|^13/2