K14a17278

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K14a17278/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 16 t^3-64 t^2+126 t-155+126 t^{-1} -64 t^{-2} +16 t^{-3} }[/math]
Conway polynomial Data:K14a17278/Conway Polynomial
Determinant Data:K14a17278/Determinant
Signature Data:K14a17278/Signature
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-6} +5 z^6 a^{-8} +7 z^6 a^{-10} +3 z^6 a^{-12} +z^4 a^{-6} +12 z^4 a^{-8} +19 z^4 a^{-10} +4 z^4 a^{-12} -4 z^4 a^{-14} +7 z^2 a^{-8} +16 z^2 a^{-10} -z^2 a^{-12} -9 z^2 a^{-14} +z^2 a^{-16} +5 a^{-10} - a^{-12} -5 a^{-14} +2 a^{-16} }[/math]
Kauffman polynomial [math]\displaystyle{ 3 z^{13} a^{-13} +3 z^{13} a^{-15} +13 z^{12} a^{-12} +22 z^{12} a^{-14} +9 z^{12} a^{-16} +26 z^{11} a^{-11} +40 z^{11} a^{-13} +25 z^{11} a^{-15} +11 z^{11} a^{-17} +33 z^{10} a^{-10} +19 z^{10} a^{-12} -32 z^{10} a^{-14} -10 z^{10} a^{-16} +8 z^{10} a^{-18} +27 z^9 a^{-9} -26 z^9 a^{-11} -114 z^9 a^{-13} -95 z^9 a^{-15} -30 z^9 a^{-17} +4 z^9 a^{-19} +15 z^8 a^{-8} -60 z^8 a^{-10} -94 z^8 a^{-12} -12 z^8 a^{-14} -19 z^8 a^{-16} -25 z^8 a^{-18} +z^8 a^{-20} +5 z^7 a^{-7} -46 z^7 a^{-9} -21 z^7 a^{-11} +122 z^7 a^{-13} +133 z^7 a^{-15} +26 z^7 a^{-17} -15 z^7 a^{-19} +z^6 a^{-6} -22 z^6 a^{-8} +50 z^6 a^{-10} +96 z^6 a^{-12} +27 z^6 a^{-14} +31 z^6 a^{-16} +23 z^6 a^{-18} -4 z^6 a^{-20} -4 z^5 a^{-7} +31 z^5 a^{-9} +31 z^5 a^{-11} -86 z^5 a^{-13} -110 z^5 a^{-15} -9 z^5 a^{-17} +19 z^5 a^{-19} -z^4 a^{-6} +16 z^4 a^{-8} -38 z^4 a^{-10} -46 z^4 a^{-12} +7 z^4 a^{-14} -12 z^4 a^{-16} -5 z^4 a^{-18} +5 z^4 a^{-20} -9 z^3 a^{-9} -10 z^3 a^{-11} +43 z^3 a^{-13} +52 z^3 a^{-15} -2 z^3 a^{-17} -10 z^3 a^{-19} -7 z^2 a^{-8} +23 z^2 a^{-10} +13 z^2 a^{-12} -21 z^2 a^{-14} -3 z^2 a^{-16} -z^2 a^{-18} -2 z^2 a^{-20} +2 z a^{-11} -10 z a^{-13} -10 z a^{-15} +4 z a^{-17} +2 z a^{-19} -5 a^{-10} - a^{-12} +5 a^{-14} +2 a^{-16} }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.