K14n13329

Knot presentations

Dowker-Thistlethwaite code

4 10 22 18 2 16 24 28 8 -26 6 14 -20 12

Notes on presentations of K14n13329

Polynomial invariants

Jones polynomial	Data:K14n13329/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 10 t^3-39 t^2+77 t-95+77 t^{-1} -39 t^{-2} +10 t^{-3} }[/math]
Conway polynomial	Data:K14n13329/Conway Polynomial
Determinant	Data:K14n13329/Determinant
Signature	Data:K14n13329/Signature
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-6} +4 z^6 a^{-8} +5 z^6 a^{-10} +2 z^4 a^{-6} +11 z^4 a^{-8} +15 z^4 a^{-10} -7 z^4 a^{-12} +z^2 a^{-6} +9 z^2 a^{-8} +14 z^2 a^{-10} -15 z^2 a^{-12} +2 z^2 a^{-14} +2 a^{-8} +4 a^{-10} -7 a^{-12} +2 a^{-14} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +9 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +16 z^{10} $Failed^{-1} +29 z^{10} $Failed^{-1} +17 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} +15 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +z^9 $Failed^{-1} +10 z^8 $Failed^{-1} -24 z^8 $Failed^{-1} -66 z^8 $Failed^{-1} -26 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} +4 z^7 $Failed^{-1} -25 z^7 $Failed^{-1} -55 z^7 $Failed^{-1} -47 z^7 $Failed^{-1} -12 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} +z^6 $Failed^{-1} -19 z^6 $Failed^{-1} +19 z^6 $Failed^{-1} +55 z^6 $Failed^{-1} -7 z^6 $Failed^{-1} -20 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} -6 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} +63 z^5 $Failed^{-1} +46 z^5 $Failed^{-1} -13 z^5 $Failed^{-1} -19 z^5 $Failed^{-1} -2 z^4 $Failed^{-1} +18 z^4 $Failed^{-1} -16 z^4 $Failed^{-1} -37 z^4 $Failed^{-1} +12 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} +2 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -32 z^3 $Failed^{-1} -21 z^3 $Failed^{-1} +16 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} +z^2 $Failed^{-1} -10 z^2 $Failed^{-1} +13 z^2 $Failed^{-1} +25 z^2 $Failed^{-1} +z^2 $Failed^{-1} -z $Failed^{-1} +7 z $Failed^{-1} +5 z $Failed^{-1} -4 z $Failed^{-1} -z $Failed^{-1} +2 $Failed^{-1} -4 $Failed^{-1} -7 $Failed^{-1} -2 $Failed^{-1} }[/math]

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