K14a17328

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K14a17328/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -8 t^3+49 t^2-118 t+155-118 t^{-1} +49 t^{-2} -8 t^{-3} }[/math]
Conway polynomial Data:K14a17328/Conway Polynomial
Determinant Data:K14a17328/Determinant
Signature Data:K14a17328/Signature
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} -3 z^6 a^{-8} -z^6 a^{-10} +z^4 a^{-2} +z^4 a^{-4} -2 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +z^4 a^{-12} +z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} +4 z^2 a^{-8} -2 z^2 a^{-10} + a^{-4} +3 a^{-8} -4 a^{-10} + a^{-12} }[/math]
Kauffman polynomial [math]\displaystyle{ 4 z^{13} $Failed^{-1} +4 z^{13} $Failed^{-1} +12 z^{12} $Failed^{-1} +25 z^{12} $Failed^{-1} +13 z^{12} $Failed^{-1} +18 z^{11} $Failed^{-1} +24 z^{11} $Failed^{-1} +23 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +19 z^{10} $Failed^{-1} -7 z^{10} $Failed^{-1} -67 z^{10} $Failed^{-1} -29 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} +15 z^9 $Failed^{-1} -30 z^9 $Failed^{-1} -97 z^9 $Failed^{-1} -116 z^9 $Failed^{-1} -59 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +9 z^8 $Failed^{-1} -36 z^8 $Failed^{-1} -31 z^8 $Failed^{-1} +58 z^8 $Failed^{-1} +2 z^8 $Failed^{-1} -41 z^8 $Failed^{-1} +z^8 $Failed^{-1} +4 z^7 $Failed^{-1} -27 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} +133 z^7 $Failed^{-1} +175 z^7 $Failed^{-1} +71 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +z^6 $Failed^{-1} -15 z^6 $Failed^{-1} +30 z^6 $Failed^{-1} +51 z^6 $Failed^{-1} -18 z^6 $Failed^{-1} +22 z^6 $Failed^{-1} +42 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} -7 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} +10 z^5 $Failed^{-1} -92 z^5 $Failed^{-1} -135 z^5 $Failed^{-1} -48 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -2 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -9 z^4 $Failed^{-1} -23 z^4 $Failed^{-1} +z^4 $Failed^{-1} -15 z^4 $Failed^{-1} -17 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +3 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +36 z^3 $Failed^{-1} +56 z^3 $Failed^{-1} +20 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +z^2 $Failed^{-1} -4 z^2 $Failed^{-1} -z^2 $Failed^{-1} -6 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +z $Failed^{-1} +2 z $Failed^{-1} -8 z $Failed^{-1} -12 z $Failed^{-1} -3 z $Failed^{-1} + $Failed^{-1} +3 $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.