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Input data and context
% TrivialAlexTangle1
r1.x2.y0.x2.y0.x2.u1.r1.y2.x0.y2.x0.y2.u1
,1,0
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c0
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxBNr-c0', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^-2 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^-8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c2
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxBNr-c2', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^-2 δ^0 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^-8 δ^1 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c3
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxBNr-c3', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^-2 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^-8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c5
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxBNr-c5', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^-2 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^-8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c7
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxBNr-c7', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^-2 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^-8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c11
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxBNr-c11', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^ 0 q^ 0 δ^0 ⬯
2) h^-1 q^-2 δ^0 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^-5 q^-8 δ^1 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c0
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxKhr-c0', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^-1 q^-1 δ^1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^-2 q^-3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^-1 q^-1 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^-6 q^-9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^-5 q^-7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
options -c2
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxKhr-c2', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^-1 q^-1 δ^1/2 ⬯~~S^2~>⬯<— r(∞) q^0 δ_^1/2
2) h^-2 q^-3 δ^1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^-1 q^-1 δ^1/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^-6 q^-9 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^-5 q^-7 δ^3/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
options -c3
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxKhr-c3', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^-1 q^-1 δ^1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^-2 q^-3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^-1 q^-1 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^-6 q^-9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^-5 q^-7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
options -c5
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxKhr-c5', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^-1 q^-1 δ^1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^-2 q^-3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^-1 q^-1 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^-6 q^-9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^-5 q^-7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
options -c7
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxKhr-c7', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^-1 q^-1 δ^1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^-2 q^-3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^-1 q^-1 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^-6 q^-9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^-5 q^-7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1
options -c11
(diagram)
(metadata)
% file 'examples/miscellaneous/TrivialAlexTangleSeries1_1/cxKhr-c11', generated by kht, version v0.1, on Sun Mar 7 17:01:40 2021 GMT
1) h^-1 q^-1 δ^1/2 ⬯~~(-S^2)~>⬯<— r(∞) q^0 δ_^1/2
2) h^-2 q^-3 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^2 δ|^0
3) h^-1 q^-1 δ^1/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^4 δ|^0
4) h^-6 q^-9 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-4 δ|^1
5) h^-5 q^-7 δ^3/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^-2 δ|^1