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Input data and context
% 3_1
r1.y0.y0.x1.u0
,1
% generated from braid [1,1,1]
% det=3,scraped from knotinfo on 23 Mai 2021
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-d
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxBNr-c2-d', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:32 2022 GMT
1) h^6 q^12 δ^ 0 ⬮~~S~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮<—
2) h^0 q^ 1 δ^1/2 ⬯——D—>⬯~>⬯—>⬯~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮
options -c3-d
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxBNr-c3-d', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:32 2022 GMT
1) h^8 q^16 δ^ 0 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<—
2) h^0 q^ 1 δ^1/2 ⬯——D—>⬯~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮
options -c5-d
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxBNr-c5-d', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:32 2022 GMT
1) h^8 q^16 δ^ 0 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<—
2) h^0 q^ 1 δ^1/2 ⬯——D—>⬯~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮
options -c7-d
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxBNr-c7-d', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:32 2022 GMT
1) h^8 q^16 δ^ 0 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<—
2) h^0 q^ 1 δ^1/2 ⬯——D—>⬯~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮
options -c11-d
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxBNr-c11-d', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:32 2022 GMT
1) h^8 q^16 δ^ 0 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<—
2) h^0 q^ 1 δ^1/2 ⬯——D—>⬯~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-d
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxKhr-c2-d', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:32 2022 GMT
1) h^ 5 q^11 δ^1/2 ⬮~~S~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮<— s4(∞) q^16 δ_^0
2) h^ 6 q^13 δ^1/2 ⬮~~S~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮<— s4(∞) q^18 δ_^0
3) h^ 3 q^ 9 δ^3/2 ⬮~~S~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮<— s4(∞) q^14 δ_^1
4) h^-1 q^ 3 δ^5/2 ⬮~~S~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮<— s4(∞) q^8 δ_^2
5) h^-1 q^ 0 δ^ 1 ⬯~~S^2~>⬯—>⬯~>⬯—>⬯~>⬯—>⬯~>⬯—>⬯~>⬮<—⬮<~⬯<—⬯<~⬯<—⬯<~⬯<—⬯<~⬯<— r(8) q^80/9 δ|^1/2
options -c3-d
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxKhr-c3-d', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:32 2022 GMT
1) h^ 7 q^15 δ^1/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^18 δ_^0
2) h^ 8 q^17 δ^1/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^20 δ_^0
3) h^ 3 q^ 9 δ^3/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^12 δ_^1
4) h^-1 q^ 3 δ^5/2 ⬮~~(-S)~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮<— s4(∞) q^8 δ_^2
5) h^-1 q^ 0 δ^ 1 ⬯~~(-S^2)~>⬯—>⬯~>⬯—>⬯~>⬯—>⬯~>⬮<—⬮<~⬯<—⬯<~⬯<—⬯<~⬯<— r(6) q^48/7 δ|^1/2
options -c5-d
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxKhr-c5-d', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:32 2022 GMT
1) h^ 7 q^15 δ^1/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^18 δ_^0
2) h^ 8 q^17 δ^1/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^20 δ_^0
3) h^ 3 q^ 9 δ^3/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^12 δ_^1
4) h^-1 q^ 3 δ^5/2 ⬮~~(-S)~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮<— s4(∞) q^8 δ_^2
5) h^-1 q^ 0 δ^ 1 ⬯~~(-S^2)~>⬯—>⬯~>⬯—>⬯~>⬯—>⬯~>⬮<—⬮<~⬯<—⬯<~⬯<—⬯<~⬯<— r(6) q^48/7 δ|^1/2
options -c7-d
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxKhr-c7-d', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:32 2022 GMT
1) h^ 7 q^15 δ^1/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^18 δ_^0
2) h^ 8 q^17 δ^1/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^20 δ_^0
3) h^ 3 q^ 9 δ^3/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^12 δ_^1
4) h^-1 q^ 3 δ^5/2 ⬮~~(-S)~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮<— s4(∞) q^8 δ_^2
5) h^-1 q^ 0 δ^ 1 ⬯~~(-S^2)~>⬯—>⬯~>⬯—>⬯~>⬯—>⬯~>⬮<—⬮<~⬯<—⬯<~⬯<—⬯<~⬯<— r(6) q^48/7 δ|^1/2
options -c11-d
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxKhr-c11-d', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:32 2022 GMT
1) h^ 7 q^15 δ^1/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^18 δ_^0
2) h^ 8 q^17 δ^1/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^20 δ_^0
3) h^ 3 q^ 9 δ^3/2 ⬮~~(-S)~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬮<— s2(∞) q^12 δ_^1
4) h^-1 q^ 3 δ^5/2 ⬮~~(-S)~>⬯—>⬯~>⬯—>⬯~>⬮—>⬮<~⬯<—⬯<~⬯<—⬯<~⬮<— s4(∞) q^8 δ_^2
5) h^-1 q^ 0 δ^ 1 ⬯~~(-S^2)~>⬯—>⬯~>⬯—>⬯~>⬯—>⬯~>⬮<—⬮<~⬯<—⬯<~⬯<—⬯<~⬯<— r(6) q^48/7 δ|^1/2
Khovanov type D structure \(\mathrm{\widetilde{CKh}}(L)\)
options -c2
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxCKh-c2', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:12 2022 GMT
1) h^0 q^2 δ^1 ⬮
2) h^2 q^6 δ^1 ⬮——H—>⬮
options -c3
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxCKh-c3', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:12 2022 GMT
1) h^0 q^2 δ^1 ⬮
2) h^2 q^6 δ^1 ⬮——H—>⬮
options -c5
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxCKh-c5', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:12 2022 GMT
1) h^0 q^2 δ^1 ⬮
2) h^2 q^6 δ^1 ⬮——H—>⬮
options -c7
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxCKh-c7', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:12 2022 GMT
1) h^0 q^2 δ^1 ⬮
2) h^2 q^6 δ^1 ⬮——H—>⬮
options -c11
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxCKh-c11', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:12 2022 GMT
1) h^0 q^2 δ^1 ⬮
2) h^2 q^6 δ^1 ⬮——H—>⬮
Rasmussen's s-invariant
options -c2
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxCKh-c2', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:12 2022 GMT
2
options -c3
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxCKh-c3', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:12 2022 GMT
2
options -c5
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxCKh-c5', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:12 2022 GMT
2
options -c7
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxCKh-c7', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:12 2022 GMT
2
options -c11
(diagram)
(metadata)
% file 'examples/RasmussenSOfSatellites/companions/3_1/cxCKh-c11', generated by kht++ v0.1-53-g46e86f4 on Thu Jun 9 15:50:12 2022 GMT
2