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Input data and context
% 5_1
s.r1.y0.y0.y1.y0.y0.y1.u2
,1
% Symmetry of a 2-bridge knot corresponding to the fraction 5/4 = [2,-2,2,-2] (Sakuma, Appendix I).
% Simplifies with options '-qs' to l1.r4.x3.x3.x2.y3.y3.y1.y3.x2.x3.y1.x0.y2.x1.x2.y0.y0.y0.y3.u4.u2.y0.y0.y0.y0.y0
Bar-Natan multicurve
options -c2-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxBNr-c2-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ 0 q^8 δ^4 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮
2) h^-4 q^2 δ^5 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c3-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxBNr-c3-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ 0 q^8 δ^4 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮
2) h^-4 q^2 δ^5 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c5-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxBNr-c5-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ 0 q^8 δ^4 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮
2) h^-4 q^2 δ^5 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c7-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxBNr-c7-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ 0 q^8 δ^4 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮
2) h^-4 q^2 δ^5 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c11-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxBNr-c11-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^ 0 q^8 δ^4 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮
2) h^-4 q^2 δ^5 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
Khovanov multicurve
options -c2-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxKhr-c2-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^-5 q^1 δ^11/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^6 δ|^5
2) h^-4 q^3 δ^11/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^8 δ|^5
3) h^-1 q^7 δ^ 9/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— r(1/8) q^136/9 δ|^4
options -c3-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxKhr-c3-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^-5 q^1 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^6 δ|^5
2) h^-4 q^3 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^8 δ|^5
3) h^-1 q^7 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— r(1/8) q^136/9 δ|^4
options -c5-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxKhr-c5-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^-5 q^1 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^6 δ|^5
2) h^-4 q^3 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^8 δ|^5
3) h^-1 q^7 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— r(1/8) q^136/9 δ|^4
options -c7-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxKhr-c7-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^-5 q^1 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^6 δ|^5
2) h^-4 q^3 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^8 δ|^5
3) h^-1 q^7 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— r(1/8) q^136/9 δ|^4
options -c11-q
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxKhr-c11-q', generated by kht, version v0.1, on Sun Mar 7 16:05:13 2021 GMT
1) h^-5 q^1 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^6 δ|^5
2) h^-4 q^3 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s2(0) q^8 δ|^5
3) h^-1 q^7 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬮<—⬮<~⬯<— r(1/8) q^136/9 δ|^4
Khovanov type D structure
options -c0
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxCKh-c0', generated by kht, version v0.1, on Sun Mar 7 15:45:53 2021 GMT
1) h^ 0 q^ -4 δ^-2 ⬮
2) h^-5 q^-14 δ^-2 ⬮——H—>⬮
3) h^-3 q^-10 δ^-2 ⬮——H—>⬮
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxCKh-c2', generated by kht, version v0.1, on Sun Mar 7 15:58:53 2021 GMT
1) h^ 0 q^ -4 δ^-2 ⬮
2) h^-5 q^-14 δ^-2 ⬮——H—>⬮
3) h^-3 q^-10 δ^-2 ⬮——H—>⬮
options -c3
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxCKh-c3', generated by kht, version v0.1, on Sun Mar 7 15:58:53 2021 GMT
1) h^ 0 q^ -4 δ^-2 ⬮
2) h^-5 q^-14 δ^-2 ⬮——H—>⬮
3) h^-3 q^-10 δ^-2 ⬮——H—>⬮
options -c5
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxCKh-c5', generated by kht, version v0.1, on Sun Mar 7 15:58:53 2021 GMT
1) h^ 0 q^ -4 δ^-2 ⬮
2) h^-5 q^-14 δ^-2 ⬮——H—>⬮
3) h^-3 q^-10 δ^-2 ⬮——H—>⬮
options -c7
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxCKh-c7', generated by kht, version v0.1, on Sun Mar 7 15:58:53 2021 GMT
1) h^ 0 q^ -4 δ^-2 ⬮
2) h^-5 q^-14 δ^-2 ⬮——H—>⬮
3) h^-3 q^-10 δ^-2 ⬮——H—>⬮
options -c11
(diagram)
(metadata)
% file 'examples/strong_inversions/2-bridge_knots/5_1/cxCKh-c11', generated by kht, version v0.1, on Sun Mar 7 15:58:53 2021 GMT
1) h^ 0 q^ -4 δ^-2 ⬮
2) h^-5 q^-14 δ^-2 ⬮——H—>⬮
3) h^-3 q^-10 δ^-2 ⬮——H—>⬮