show all invariants|show all metadata
Input data and context
% 3-braid
r1.l3.
y2.y2.y2.y2.y2.
x0.x0.x0.x0.
u1
,1
% With options '-c2', add these twists to optimize: y0.y0.y0.y0
% With options '-c3', add these twists to optimize: y0.y0.y0.y0
% With options '-c5', add these twists to optimize: y0.y0.y0.y0
% With options '-c7', add these twists to optimize: y0.y0.y0.y0
% With options '-c11', add these twists to optimize: y0.y0.y0.y0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c0
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxBNr-c0', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-3 q^-4 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^-4 q^-6 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮
options -c2
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxBNr-c2', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-3 q^-4 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^-4 q^-6 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮
options -c3
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxBNr-c3', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-3 q^-4 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^-4 q^-6 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮
options -c5
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxBNr-c5', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-3 q^-4 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^-4 q^-6 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮
options -c7
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxBNr-c7', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-3 q^-4 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^-4 q^-6 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮
options -c11
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxBNr-c11', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-3 q^-4 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^-4 q^-6 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<—⬮
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c0
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxKhr-c0', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-1 q^ 0 δ^ 1 ⬮~~(-S^2)~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<— r(-1/4) q^24/5 δ|^1
2) h^-4 q^-5 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
3) h^-3 q^-3 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^1
4) h^-5 q^-7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^2 δ|^1
options -c2
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxKhr-c2', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-1 q^ 0 δ^ 1 ⬮~~S^2~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<— r(-1/4) q^24/5 δ|^1
2) h^-4 q^-5 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
3) h^-3 q^-3 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^1
4) h^-5 q^-7 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^2 δ|^1
options -c3
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxKhr-c3', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-1 q^ 0 δ^ 1 ⬮~~(-S^2)~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<— r(-1/4) q^24/5 δ|^1
2) h^-4 q^-5 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
3) h^-3 q^-3 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^1
4) h^-5 q^-7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^2 δ|^1
options -c5
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxKhr-c5', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-1 q^ 0 δ^ 1 ⬮~~(-S^2)~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<— r(-1/4) q^24/5 δ|^1
2) h^-4 q^-5 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
3) h^-3 q^-3 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^1
4) h^-5 q^-7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^2 δ|^1
options -c7
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxKhr-c7', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-1 q^ 0 δ^ 1 ⬮~~(-S^2)~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<— r(-1/4) q^24/5 δ|^1
2) h^-4 q^-5 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
3) h^-3 q^-3 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^1
4) h^-5 q^-7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^2 δ|^1
options -c11
(diagram)
(metadata)
% file 'examples/miscellaneous/three-braid/cxKhr-c11', generated by kht, version v0.1, on Sun Mar 7 14:56:06 2021 GMT
1) h^-1 q^ 0 δ^ 1 ⬮~~(-S^2)~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯<~⬮<—⬮<~⬮<— r(-1/4) q^24/5 δ|^1
2) h^-4 q^-5 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^0 δ|^1
3) h^-3 q^-3 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^1
4) h^-5 q^-7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^2 δ|^1