K12n28

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^4+2 q^3-q^2+3-5 q^{-1} +6 q^{-2} -7 q^{-3} +7 q^{-4} -5 q^{-5} +3 q^{-6} - q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^2-8 t+13-8 t^{-1} +2 t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^4+1 }[/math]
Determinant	33
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+5 z^2 a^4+4 a^4-z^6 a^2-5 z^4 a^2-10 z^2 a^2-6 a^2+z^6+6 z^4+9 z^2+5-z^4 a^{-2} -3 z^2 a^{-2} - a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+5 a^3 z^9+3 a z^9+z^9 a^{-1} +3 a^6 z^8+2 a^4 z^8+2 z^8 a^{-2} +3 z^8+a^7 z^7-11 a^5 z^7-24 a^3 z^7-19 a z^7-6 z^7 a^{-1} +z^7 a^{-3} -13 a^6 z^6-26 a^4 z^6-25 a^2 z^6-12 z^6 a^{-2} -24 z^6-4 a^7 z^5+6 a^5 z^5+29 a^3 z^5+29 a z^5+5 z^5 a^{-1} -5 z^5 a^{-3} +15 a^6 z^4+39 a^4 z^4+52 a^2 z^4+18 z^4 a^{-2} +46 z^4+4 a^7 z^3+a^5 z^3-12 a^3 z^3-12 a z^3+2 z^3 a^{-1} +5 z^3 a^{-3} -7 a^6 z^2-22 a^4 z^2-33 a^2 z^2-10 z^2 a^{-2} -28 z^2-a^7 z-a^5 z+2 a^3 z+2 a z-z a^{-1} -z a^{-3} +a^6+4 a^4+6 a^2+ a^{-2} +5 }[/math]

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents