K13n2703

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2703/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 4 t^2-16 t+25-16 t^{-1} +4 t^{-2} }[/math]
Conway polynomial	Data:K13n2703/Conway Polynomial
Determinant	65
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^6-a^6+z^4 a^4+z^2 a^4+a^4+2 z^4 a^2+3 z^2 a^2+2 a^2+z^4-z^2-1-2 z^2 a^{-2} - a^{-2} + a^{-4} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+2 a^5 z^9-3 a^3 z^9-3 a z^9+2 z^9 a^{-1} +2 a^6 z^8-9 a^4 z^8-22 a^2 z^8+z^8 a^{-2} -10 z^8+a^7 z^7-7 a^5 z^7+2 a^3 z^7-10 z^7 a^{-1} -9 a^6 z^6+17 a^4 z^6+49 a^2 z^6-4 z^6 a^{-2} +19 z^6-5 a^7 z^5+4 a^5 z^5+a^3 z^5+9 a z^5+19 z^5 a^{-1} +2 z^5 a^{-3} +11 a^6 z^4-21 a^4 z^4-52 a^2 z^4+8 z^4 a^{-2} +z^4 a^{-4} -13 z^4+7 a^7 z^3+2 a^5 z^3-5 a^3 z^3-5 a z^3-10 z^3 a^{-1} -5 z^3 a^{-3} -4 a^6 z^2+7 a^4 z^2+22 a^2 z^2-6 z^2 a^{-2} -3 z^2 a^{-4} +8 z^2-2 a^7 z-2 a^5 z+2 z a^{-1} +2 z a^{-3} +a^6+a^4-2 a^2+ a^{-2} + a^{-4} -1 }[/math]

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents