K14a3032

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a3032

Polynomial invariants

Jones polynomial	Data:K14a3032/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 4 t^4-23 t^3+66 t^2-116 t+139-116 t^{-1} +66 t^{-2} -23 t^{-3} +4 t^{-4} }[/math]
Conway polynomial	Data:K14a3032/Conway Polynomial
Determinant	Data:K14a3032/Determinant
Signature	Data:K14a3032/Signature
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-4} +2 z^8 a^{-6} +z^8 a^{-8} -z^6 a^{-2} +3 z^6 a^{-4} +7 z^6 a^{-6} +z^6 a^{-8} -z^6 a^{-10} -3 z^4 a^{-2} +5 z^4 a^{-4} +11 z^4 a^{-6} -4 z^4 a^{-8} -z^4 a^{-10} -3 z^2 a^{-2} +6 z^2 a^{-4} +9 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +3 a^{-4} +2 a^{-6} -4 a^{-8} + a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +6 z^{12} $Failed^{-1} +16 z^{12} $Failed^{-1} +10 z^{12} $Failed^{-1} +10 z^{11} $Failed^{-1} +25 z^{11} $Failed^{-1} +36 z^{11} $Failed^{-1} +21 z^{11} $Failed^{-1} +11 z^{10} $Failed^{-1} +20 z^{10} $Failed^{-1} +7 z^{10} $Failed^{-1} +22 z^{10} $Failed^{-1} +24 z^{10} $Failed^{-1} +8 z^9 $Failed^{-1} -37 z^9 $Failed^{-1} -72 z^9 $Failed^{-1} -27 z^9 $Failed^{-1} +16 z^9 $Failed^{-1} +4 z^8 $Failed^{-1} -17 z^8 $Failed^{-1} -66 z^8 $Failed^{-1} -81 z^8 $Failed^{-1} -94 z^8 $Failed^{-1} -52 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} +z^7 $Failed^{-1} -17 z^7 $Failed^{-1} -37 z^7 $Failed^{-1} -25 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} -20 z^7 $Failed^{-1} -34 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 z^6 $Failed^{-1} +2 z^6 $Failed^{-1} +66 z^6 $Failed^{-1} +92 z^6 $Failed^{-1} +79 z^6 $Failed^{-1} +30 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} -3 z^5 $Failed^{-1} +10 z^5 $Failed^{-1} +48 z^5 $Failed^{-1} +80 z^5 $Failed^{-1} +60 z^5 $Failed^{-1} +35 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -z^5 $Failed^{-1} +11 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -31 z^4 $Failed^{-1} -38 z^4 $Failed^{-1} -16 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} +3 z^3 $Failed^{-1} -24 z^3 $Failed^{-1} -54 z^3 $Failed^{-1} -44 z^3 $Failed^{-1} -14 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -5 z^2 $Failed^{-1} -8 z^2 $Failed^{-1} +9 z^2 $Failed^{-1} +12 z^2 $Failed^{-1} -z^2 $Failed^{-1} -z^2 $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} +3 z $Failed^{-1} +12 z $Failed^{-1} +11 z $Failed^{-1} +2 z $Failed^{-1} + $Failed^{-1} +3 $Failed^{-1} -2 $Failed^{-1} -4 $Failed^{-1} - $Failed^{-1} }[/math]

Modifying This Page

Read me first: Modifying Knot Pages See/edit the Large Knot Page master template. Back to the top.