0 1
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![]() (KnotPlot image) |
See the full Rolfsen Knot Table. Visit 0 1's page at the Knot Server (KnotPlot driven, includes 3D interactive images!) |
Also known as "the Unknot" |
![]() A temple symbol MANJI in a Japanese map[1] |
![]() A toroidal bubble in glass [2] |
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Knot presentations
Planar diagram presentation | |
Gauss code | |
Dowker-Thistlethwaite code | |
Conway Notation | Data:0 1/Conway Notation |
Minimum Braid Representative | A Morse Link Presentation | An Arc Presentation |
Data:0 1/BraidPlot Length is Data:0 1/MinimalBraidLength, width is Data:0 1/MinimalBraidWidth, |
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![]() [{1, 2}, {2, 1}] |
[edit Notes on presentations of 0 1]
Three dimensional invariants
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Four dimensional invariants
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Polynomial invariants
"Similar" Knots (within the Atlas)
Same Alexander/Conway Polynomial: {K11n34, K11n42,}
Same Jones Polynomial (up to mirroring, ): {}
Vassiliev invariants
V2 and V3: | (0, 0) |
V2,1 through V6,9: |
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V2,1 through V6,9 were provided by Petr Dunin-Barkowski <barkovs@itep.ru>, Andrey Smirnov <asmirnov@itep.ru>, and Alexei Sleptsov <sleptsov@itep.ru> and uploaded on October 2010 by User:Drorbn. Note that they are normalized differently than V2 and V3.
Khovanov Homology
The coefficients of the monomials are shown, along with their alternating sums (fixed , alternation over ). The squares with yellow highlighting are those on the "critical diagonals", where or , where 0 is the signature of 0 1. Nonzero entries off the critical diagonals (if any exist) are highlighted in red. | Data:0 1/KhovanovTable |
Integral Khovanov Homology
(db, data source) |
Data:0 1/Integral Khovanov Homology |