K12n707

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ - q^{-1} +4 q^{-2} -7 q^{-3} +11 q^{-4} -13 q^{-5} +15 q^{-6} -13 q^{-7} +10 q^{-8} -7 q^{-9} +3 q^{-10} - q^{-11} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-4 t^3+11 t^2-17 t+19-17 t^{-1} +11 t^{-2} -4 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8+4 z^6+7 z^4+7 z^2+1 }[/math]
Determinant	85
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^8-4 z^4 a^8-6 z^2 a^8-4 a^8+z^8 a^6+6 z^6 a^6+14 z^4 a^6+15 z^2 a^6+6 a^6-z^6 a^4-3 z^4 a^4-2 z^2 a^4-a^4 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^5 a^{13}-2 z^3 a^{13}+z a^{13}+3 z^6 a^{12}-5 z^4 a^{12}+z^2 a^{12}+5 z^7 a^{11}-9 z^5 a^{11}+5 z^3 a^{11}-3 z a^{11}+5 z^8 a^{10}-8 z^6 a^{10}+5 z^4 a^{10}-2 z^2 a^{10}+3 z^9 a^9-z^7 a^9-4 z^5 a^9+5 z^3 a^9-z a^9+z^{10} a^8+3 z^8 a^8-3 z^6 a^8-6 z^4 a^8+13 z^2 a^8-4 a^8+4 z^9 a^7-7 z^7 a^7+10 z^5 a^7-10 z^3 a^7+5 z a^7+z^{10} a^6-2 z^8 a^6+12 z^6 a^6-24 z^4 a^6+19 z^2 a^6-6 a^6+z^9 a^5-z^7 a^5+5 z^5 a^5-10 z^3 a^5+3 z a^5+4 z^6 a^4-8 z^4 a^4+3 z^2 a^4-a^4+z^5 a^3-2 z^3 a^3+z a^3 }[/math]

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents