10 94
From Knot Atlas
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See the full Rolfsen Knot Table. Visit 10 94's page at the Knot Server (KnotPlot driven, includes 3D interactive images!) |
Knot presentations
Planar diagram presentation | X6271 X2837 X18,12,19,11 X14,5,15,6 X20,14,1,13 X8,15,9,16 X10,4,11,3 X16,9,17,10 X4,17,5,18 X12,20,13,19 |
Gauss code | 1, -2, 7, -9, 4, -1, 2, -6, 8, -7, 3, -10, 5, -4, 6, -8, 9, -3, 10, -5 |
Dowker-Thistlethwaite code | 6 10 14 2 16 18 20 8 4 12 |
Conway Notation | [.30.2.2] |
Minimum Braid Representative | A Morse Link Presentation | An Arc Presentation | |||
Length is 10, width is 3, Braid index is 3 |
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![]() [{7, 12}, {2, 11}, {12, 8}, {6, 1}, {5, 7}, {4, 6}, {3, 5}, {9, 4}, {8, 2}, {10, 3}, {11, 9}, {1, 10}] |
[edit Notes on presentations of 10 94]
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: {}
Same Jones Polynomial (up to mirroring, ): {10_41,}
Vassiliev invariants
V2 and V3: | (-2, -2) |
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 2 is the signature of 10 94. Nonzero entries off the critical diagonals (if any exist) are highlighted in red. |
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Integral Khovanov Homology
(db, data source) |
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