K13n3678

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3678/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^3-5 t^2+17 t-25+17 t^{-1} -5 t^{-2} + t^{-3} }[/math]
Conway polynomial	Data:K13n3678/Conway Polynomial
Determinant	71
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-6} -z^4 a^{-4} +4 z^4 a^{-6} -2 z^4 a^{-8} +z^2 a^{-2} +8 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} +4 a^{-6} -3 a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +9 z^{10} a^{-8} +5 z^{10} a^{-10} +2 z^9 a^{-5} -4 z^9 a^{-7} -2 z^9 a^{-9} +4 z^9 a^{-11} -22 z^8 a^{-6} -48 z^8 a^{-8} -25 z^8 a^{-10} +z^8 a^{-12} -10 z^7 a^{-5} -18 z^7 a^{-7} -28 z^7 a^{-9} -20 z^7 a^{-11} +z^6 a^{-4} +42 z^6 a^{-6} +80 z^6 a^{-8} +35 z^6 a^{-10} -4 z^6 a^{-12} +18 z^5 a^{-5} +48 z^5 a^{-7} +57 z^5 a^{-9} +27 z^5 a^{-11} -2 z^4 a^{-4} -41 z^4 a^{-6} -60 z^4 a^{-8} -18 z^4 a^{-10} +3 z^4 a^{-12} +z^3 a^{-3} -17 z^3 a^{-5} -41 z^3 a^{-7} -32 z^3 a^{-9} -9 z^3 a^{-11} +z^2 a^{-2} +z^2 a^{-4} +18 z^2 a^{-6} +23 z^2 a^{-8} +5 z^2 a^{-10} +z a^{-3} +5 z a^{-5} +11 z a^{-7} +5 z a^{-9} -2 z a^{-11} -4 a^{-6} -3 a^{-8} }[/math]

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents