K13n4834

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n4834/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 2 t^4-10 t^3+23 t^2-38 t+47-38 t^{-1} +23 t^{-2} -10 t^{-3} +2 t^{-4} }[/math]
Conway polynomial	Data:K13n4834/Conway Polynomial
Determinant	193
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ a^2 z^8+z^8-a^4 z^6+4 a^2 z^6-z^6 a^{-2} +4 z^6-4 a^4 z^4+5 a^2 z^4-3 z^4 a^{-2} +5 z^4+a^6 z^2-6 a^4 z^2+2 a^2 z^2-2 z^2 a^{-2} +z^2+2 a^6-3 a^4+a^2+ a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+6 a^4 z^{10}+15 a^2 z^{10}+9 z^{10}+3 a^5 z^9+2 a^3 z^9+12 a z^9+13 z^9 a^{-1} -19 a^4 z^8-41 a^2 z^8+12 z^8 a^{-2} -10 z^8-3 a^5 z^7-19 a^3 z^7-49 a z^7-25 z^7 a^{-1} +8 z^7 a^{-3} +6 a^6 z^6+33 a^4 z^6+41 a^2 z^6-20 z^6 a^{-2} +4 z^6 a^{-4} -10 z^6-9 a^5 z^5+16 a^3 z^5+57 a z^5+21 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} -18 a^6 z^4-45 a^4 z^4-21 a^2 z^4+13 z^4 a^{-2} -5 z^4 a^{-4} +24 z^4+10 a^5 z^3-4 a^3 z^3-24 a z^3-7 z^3 a^{-1} +2 z^3 a^{-3} -z^3 a^{-5} +14 a^6 z^2+24 a^4 z^2+6 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} -8 z^2-4 a^5 z-2 a^3 z+4 a z+2 z a^{-1} -2 a^6-3 a^4-a^2- a^{-2} }[/math]

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents