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Input data and context
% 9_46-1e1 = (5,-3,5)-pretzel knot
% Note: 9_46 = (3,-3,3)-pretzel knot
s.r1.x0.y2.x0.y2.x0.y2.y2.y2.u1
,1
% Simplifies with options '-qs' to y0.r2.y1.r2.x3.y2.x0.y1.y0.y0.y1.y2.y2.y1.x2.u3.x2.y0.y0.u1
% Simplifies with options '-qs' to r2.y0.y1.r2.x3.x0.y2.y1.y0.y0.x2.y1.y2.x3.u2.y1.y0.y0.y1.u2
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxBNr-c2-qs', generated by kht++ v0.1-26-g9b33898 on Thu Jun 10 18:09:24 2021 GMT
1) h^0 q^10 δ^5 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮
2) h^7 q^20 δ^3 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^3 q^14 δ^4 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c3-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxBNr-c3-qs', generated by kht++ v0.1-26-g9b33898 on Thu Jun 10 18:09:24 2021 GMT
1) h^0 q^10 δ^5 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮
2) h^7 q^20 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^3 q^14 δ^4 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c5-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxBNr-c5-qs', generated by kht++ v0.1-26-g9b33898 on Thu Jun 10 18:09:24 2021 GMT
1) h^0 q^10 δ^5 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮
2) h^7 q^20 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^3 q^14 δ^4 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c7-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxBNr-c7-qs', generated by kht++ v0.1-26-g9b33898 on Thu Jun 10 18:09:24 2021 GMT
1) h^0 q^10 δ^5 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮
2) h^7 q^20 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^3 q^14 δ^4 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
options -c11-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxBNr-c11-qs', generated by kht++ v0.1-26-g9b33898 on Thu Jun 10 18:09:24 2021 GMT
1) h^0 q^10 δ^5 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮
2) h^7 q^20 δ^3 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^3 q^14 δ^4 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxKhr-c2-qs', generated by kht++ v0.1-26-g9b33898 on Thu Jun 10 18:09:24 2021 GMT
1) h^ 3 q^15 δ^ 9/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬯<— r(1/4) q^96/5 δ|^4
2) h^ 6 q^19 δ^ 7/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^24 δ|^3
3) h^ 7 q^21 δ^ 7/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^26 δ|^3
4) h^ 2 q^13 δ^ 9/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^18 δ|^4
5) h^ 3 q^15 δ^ 9/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^20 δ|^4
6) h^-1 q^ 9 δ^11/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^14 δ|^5
options -c3-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxKhr-c3-qs', generated by kht++ v0.1-26-g9b33898 on Thu Jun 10 18:09:24 2021 GMT
1) h^ 3 q^15 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬯<— r(1/4) q^96/5 δ|^4
2) h^ 6 q^19 δ^ 7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^24 δ|^3
3) h^ 7 q^21 δ^ 7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^26 δ|^3
4) h^ 2 q^13 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^18 δ|^4
5) h^ 3 q^15 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^20 δ|^4
6) h^-1 q^ 9 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^14 δ|^5
options -c5-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxKhr-c5-qs', generated by kht++ v0.1-26-g9b33898 on Thu Jun 10 18:09:24 2021 GMT
1) h^ 3 q^15 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬯<— r(1/4) q^96/5 δ|^4
2) h^ 6 q^19 δ^ 7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^24 δ|^3
3) h^ 7 q^21 δ^ 7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^26 δ|^3
4) h^ 2 q^13 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^18 δ|^4
5) h^ 3 q^15 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^20 δ|^4
6) h^-1 q^ 9 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^14 δ|^5
options -c7-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxKhr-c7-qs', generated by kht++ v0.1-26-g9b33898 on Thu Jun 10 18:09:24 2021 GMT
1) h^ 3 q^15 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬯<— r(1/4) q^96/5 δ|^4
2) h^ 6 q^19 δ^ 7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^24 δ|^3
3) h^ 7 q^21 δ^ 7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^26 δ|^3
4) h^ 2 q^13 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^18 δ|^4
5) h^ 3 q^15 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^20 δ|^4
6) h^-1 q^ 9 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^14 δ|^5
options -c11-qs
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxKhr-c11-qs', generated by kht++ v0.1-26-g9b33898 on Thu Jun 10 18:09:24 2021 GMT
1) h^ 3 q^15 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬮<—⬮<~⬮<—⬮<~⬯<— r(1/4) q^96/5 δ|^4
2) h^ 6 q^19 δ^ 7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^24 δ|^3
3) h^ 7 q^21 δ^ 7/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^26 δ|^3
4) h^ 2 q^13 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^18 δ|^4
5) h^ 3 q^15 δ^ 9/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^20 δ|^4
6) h^-1 q^ 9 δ^11/2 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^14 δ|^5
Khovanov type D structure \(\mathrm{\widetilde{CKh}}(L)\)
options -c2
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxCKh-c2', generated by kht, version v0.1, on Sun Mar 7 18:15:17 2021 GMT
1) h^ 0 q^ -2 δ^-1 ⬮
2) h^ -3 q^ -8 δ^-1 ⬮——H—>⬮
3) h^-10 q^-20 δ^ 0 ⬮——H—>⬮
4) h^ -8 q^-16 δ^ 0 ⬮——H—>⬮
5) h^ -7 q^-14 δ^ 0 ⬮——H—>⬮
6) h^ -5 q^-10 δ^ 0 ⬮——H—>⬮
options -c3
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxCKh-c3', generated by kht, version v0.1, on Sun Mar 7 18:15:17 2021 GMT
1) h^ 0 q^ -2 δ^-1 ⬮
2) h^ -3 q^ -8 δ^-1 ⬮——H—>⬮
3) h^-10 q^-20 δ^ 0 ⬮——H—>⬮
4) h^ -8 q^-16 δ^ 0 ⬮——H—>⬮
5) h^ -7 q^-14 δ^ 0 ⬮——H—>⬮
6) h^ -5 q^-10 δ^ 0 ⬮——H—>⬮
options -c5
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxCKh-c5', generated by kht, version v0.1, on Sun Mar 7 18:15:17 2021 GMT
1) h^ 0 q^ -2 δ^-1 ⬮
2) h^ -3 q^ -8 δ^-1 ⬮——H—>⬮
3) h^-10 q^-20 δ^ 0 ⬮——H—>⬮
4) h^ -8 q^-16 δ^ 0 ⬮——H—>⬮
5) h^ -7 q^-14 δ^ 0 ⬮——H—>⬮
6) h^ -5 q^-10 δ^ 0 ⬮——H—>⬮
options -c7
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxCKh-c7', generated by kht, version v0.1, on Sun Mar 7 18:15:17 2021 GMT
1) h^ 0 q^ -2 δ^-1 ⬮
2) h^ -3 q^ -8 δ^-1 ⬮——H—>⬮
3) h^-10 q^-20 δ^ 0 ⬮——H—>⬮
4) h^ -8 q^-16 δ^ 0 ⬮——H—>⬮
5) h^ -7 q^-14 δ^ 0 ⬮——H—>⬮
6) h^ -5 q^-10 δ^ 0 ⬮——H—>⬮
options -c11
(diagram)
(metadata)
% file 'examples/strong_inversions/9_46-1e1/cxCKh-c11', generated by kht, version v0.1, on Sun Mar 7 18:15:17 2021 GMT
1) h^ 0 q^ -2 δ^-1 ⬮
2) h^ -3 q^ -8 δ^-1 ⬮——H—>⬮
3) h^-10 q^-20 δ^ 0 ⬮——H—>⬮
4) h^ -8 q^-16 δ^ 0 ⬮——H—>⬮
5) h^ -7 q^-14 δ^ 0 ⬮——H—>⬮
6) h^ -5 q^-10 δ^ 0 ⬮——H—>⬮