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Input data and context
% WhiteheadDouble_RHT
r2.l3.y1.y2.y0.y1.y1.y2.y0.y1.y1.y2.y0.y1.x3.x3.u4.u2
,1,0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c0
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxBNr-c0', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:11:22 2021 GMT
1) h^ 0 q^ 1 δ^1/2 ⬯——D—>⬯~>⬮
2) h^ 2 q^ 5 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
3) h^ 3 q^ 7 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
4) h^-2 q^-1 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
5) h^-6 q^-7 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c2
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxBNr-c2', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:08:57 2021 GMT
1) h^ 0 q^ 2 δ^ 1 ⬮——D—>⬮~>⬯—>⬯<~⬮
2) h^ 0 q^ 1 δ^1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^ 1 q^ 3 δ^1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^-2 q^-1 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
5) h^-6 q^-7 δ^5/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c3
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxBNr-c3', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:08:57 2021 GMT
1) h^ 0 q^ 1 δ^1/2 ⬯——D—>⬯~>⬮
2) h^ 2 q^ 5 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
3) h^ 3 q^ 7 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
4) h^-2 q^-1 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
5) h^-6 q^-7 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c5
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxBNr-c5', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:08:57 2021 GMT
1) h^ 0 q^ 1 δ^1/2 ⬯——D—>⬯~>⬮
2) h^ 2 q^ 5 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
3) h^ 3 q^ 7 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
4) h^-2 q^-1 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
5) h^-6 q^-7 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c7
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxBNr-c7', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:08:57 2021 GMT
1) h^ 0 q^ 1 δ^1/2 ⬯——D—>⬯~>⬮
2) h^ 2 q^ 5 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
3) h^ 3 q^ 7 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
4) h^-2 q^-1 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
5) h^-6 q^-7 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c11
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxBNr-c11', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:08:57 2021 GMT
1) h^ 0 q^ 1 δ^1/2 ⬯——D—>⬯~>⬮
2) h^ 2 q^ 5 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
3) h^ 3 q^ 7 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
4) h^-2 q^-1 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
5) h^-6 q^-7 δ^5/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c0
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxKhr-c0', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:11:22 2021 GMT
1) h^-1 q^ 0 δ^1 ⬯~~(-S^2)~>⬯—>⬯~>⬮<—⬮<~⬯<— r(2) q^8/3 δ|^1/2
2) h^ 1 q^ 4 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^7 δ|^1/2
3) h^ 2 q^ 6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^9 δ|^1/2
4) h^ 2 q^ 6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^9 δ|^1/2
5) h^ 3 q^ 8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^11 δ|^1/2
6) h^-3 q^-2 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^1 δ|^3/2
7) h^-2 q^ 0 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^3 δ|^3/2
8) h^-7 q^-8 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-3 δ|^5/2
9) h^-6 q^-6 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-1 δ|^5/2
options -c2
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxKhr-c2', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:08:57 2021 GMT
1) h^-1 q^ 1 δ^3/2 ⬮~~S^2~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮~>⬯<—⬯<~⬮<— r(-2/3) q^24/5 δ|^3/2
2) h^-1 q^ 0 δ^ 1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^5 δ|^1/2
3) h^ 0 q^ 2 δ^ 1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^7 δ|^1/2
4) h^ 0 q^ 2 δ^ 1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^7 δ|^1/2
5) h^ 1 q^ 4 δ^ 1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^9 δ|^1/2
6) h^-3 q^-2 δ^ 2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^3 δ|^3/2
7) h^-2 q^ 0 δ^ 2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^5 δ|^3/2
8) h^-7 q^-8 δ^ 3 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-3 δ|^5/2
9) h^-6 q^-6 δ^ 3 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-1 δ|^5/2
options -c3
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxKhr-c3', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:08:57 2021 GMT
1) h^-1 q^ 0 δ^1 ⬯~~(-S^2)~>⬯—>⬯~>⬮<—⬮<~⬯<— r(2) q^8/3 δ|^1/2
2) h^ 1 q^ 4 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^7 δ|^1/2
3) h^ 2 q^ 6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^9 δ|^1/2
4) h^ 2 q^ 6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^9 δ|^1/2
5) h^ 3 q^ 8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^11 δ|^1/2
6) h^-3 q^-2 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^1 δ|^3/2
7) h^-2 q^ 0 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^3 δ|^3/2
8) h^-7 q^-8 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-3 δ|^5/2
9) h^-6 q^-6 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-1 δ|^5/2
options -c5
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxKhr-c5', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:08:57 2021 GMT
1) h^-1 q^ 0 δ^1 ⬯~~(-S^2)~>⬯—>⬯~>⬮<—⬮<~⬯<— r(2) q^8/3 δ|^1/2
2) h^ 1 q^ 4 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^7 δ|^1/2
3) h^ 2 q^ 6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^9 δ|^1/2
4) h^ 2 q^ 6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^9 δ|^1/2
5) h^ 3 q^ 8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^11 δ|^1/2
6) h^-3 q^-2 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^1 δ|^3/2
7) h^-2 q^ 0 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^3 δ|^3/2
8) h^-7 q^-8 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-3 δ|^5/2
9) h^-6 q^-6 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-1 δ|^5/2
options -c7
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxKhr-c7', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:08:57 2021 GMT
1) h^-1 q^ 0 δ^1 ⬯~~(-S^2)~>⬯—>⬯~>⬮<—⬮<~⬯<— r(2) q^8/3 δ|^1/2
2) h^ 1 q^ 4 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^7 δ|^1/2
3) h^ 2 q^ 6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^9 δ|^1/2
4) h^ 2 q^ 6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^9 δ|^1/2
5) h^ 3 q^ 8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^11 δ|^1/2
6) h^-3 q^-2 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^1 δ|^3/2
7) h^-2 q^ 0 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^3 δ|^3/2
8) h^-7 q^-8 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-3 δ|^5/2
9) h^-6 q^-6 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-1 δ|^5/2
options -c11
(diagram)
(metadata)
% file 'examples/ThinLinksAndConwaySpheres/WhiteheadDouble_RHT/cxKhr-c11', generated by kht++ v0.1-18-g2cfd40e on Fri May 14 15:08:57 2021 GMT
1) h^-1 q^ 0 δ^1 ⬯~~(-S^2)~>⬯—>⬯~>⬮<—⬮<~⬯<— r(2) q^8/3 δ|^1/2
2) h^ 1 q^ 4 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^7 δ|^1/2
3) h^ 2 q^ 6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^9 δ|^1/2
4) h^ 2 q^ 6 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^9 δ|^1/2
5) h^ 3 q^ 8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^11 δ|^1/2
6) h^-3 q^-2 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^1 δ|^3/2
7) h^-2 q^ 0 δ^2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^3 δ|^3/2
8) h^-7 q^-8 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-3 δ|^5/2
9) h^-6 q^-6 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^-1 δ|^5/2