K12n66

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+3 q^6-6 q^5+10 q^4-12 q^3+13 q^2-13 q+11-7 q^{-1} +4 q^{-2} - q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^6-3 z^4+1 }[/math]
Determinant	81
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -2 z^6 a^{-2} -9 z^4 a^{-2} +3 z^4 a^{-4} +3 z^4-a^2 z^2-15 z^2 a^{-2} +9 z^2 a^{-4} -z^2 a^{-6} +8 z^2-a^2-9 a^{-2} +7 a^{-4} -2 a^{-6} +6 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +4 z^9 a^{-1} +7 z^9 a^{-3} +3 z^9 a^{-5} +9 z^8 a^{-2} +7 z^8 a^{-4} +3 z^8 a^{-6} +5 z^8+2 a z^7-9 z^7 a^{-1} -19 z^7 a^{-3} -7 z^7 a^{-5} +z^7 a^{-7} -44 z^6 a^{-2} -38 z^6 a^{-4} -12 z^6 a^{-6} -18 z^6-3 a z^5+3 z^5 a^{-1} +6 z^5 a^{-3} -4 z^5 a^{-5} -4 z^5 a^{-7} +4 a^2 z^4+64 z^4 a^{-2} +50 z^4 a^{-4} +15 z^4 a^{-6} +33 z^4+a^3 z^3+7 a z^3+7 z^3 a^{-1} +7 z^3 a^{-3} +11 z^3 a^{-5} +5 z^3 a^{-7} -4 a^2 z^2-41 z^2 a^{-2} -30 z^2 a^{-4} -8 z^2 a^{-6} -23 z^2-a^3 z-3 a z-3 z a^{-1} -3 z a^{-3} -4 z a^{-5} -2 z a^{-7} +a^2+9 a^{-2} +7 a^{-4} +2 a^{-6} +6 }[/math]

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents