K13n2202

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2202/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-5 t^3+14 t^2-24 t+29-24 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13n2202/Conway Polynomial
Determinant	117
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-z^6-3 a^4 z^4+9 a^2 z^4-2 z^4-3 a^4 z^2+7 a^2 z^2-z^2 a^{-2} -2 a^4+3 a^2- a^{-2} +1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+8 a^4 z^{10}+13 a^2 z^{10}+5 z^{10}+8 a^5 z^9-6 a z^9+2 z^9 a^{-1} +4 a^6 z^8-31 a^4 z^8-59 a^2 z^8-24 z^8+a^7 z^7-31 a^5 z^7-40 a^3 z^7-16 a z^7-8 z^7 a^{-1} -13 a^6 z^6+33 a^4 z^6+87 a^2 z^6+z^6 a^{-2} +42 z^6-3 a^7 z^5+32 a^5 z^5+70 a^3 z^5+51 a z^5+16 z^5 a^{-1} +7 a^6 z^4-17 a^4 z^4-48 a^2 z^4+z^4 a^{-2} -23 z^4+a^7 z^3-16 a^5 z^3-42 a^3 z^3-36 a z^3-10 z^3 a^{-1} +z^3 a^{-3} -a^6 z^2+6 a^4 z^2+11 a^2 z^2-2 z^2 a^{-2} +2 z^2+5 a^5 z+10 a^3 z+7 a z+z a^{-1} -z a^{-3} -2 a^4-3 a^2+ a^{-2} +1 }[/math]

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents