K13n1716

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1716/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-4 t^3+9 t^2-12 t+13-12 t^{-1} +9 t^{-2} -4 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13n1716/Conway Polynomial
Determinant	65
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-4} +13 z^4 a^{-6} -5 z^4 a^{-8} -z^2 a^{-4} +12 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} + a^{-4} +3 a^{-6} -4 a^{-8} + a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +z^9 a^{-5} +3 z^9 a^{-7} +2 z^9 a^{-9} -4 z^8 a^{-6} -3 z^8 a^{-8} +z^8 a^{-10} -2 z^7 a^{-5} -9 z^7 a^{-7} -7 z^7 a^{-9} +4 z^6 a^{-4} +18 z^6 a^{-6} +15 z^6 a^{-8} +z^6 a^{-10} +z^5 a^{-3} +7 z^5 a^{-5} +24 z^5 a^{-7} +22 z^5 a^{-9} +4 z^5 a^{-11} -9 z^4 a^{-4} -30 z^4 a^{-6} -22 z^4 a^{-8} +z^4 a^{-12} -2 z^3 a^{-3} -11 z^3 a^{-5} -28 z^3 a^{-7} -24 z^3 a^{-9} -5 z^3 a^{-11} +4 z^2 a^{-4} +17 z^2 a^{-6} +14 z^2 a^{-8} -z^2 a^{-12} +z a^{-3} +3 z a^{-5} +9 z a^{-7} +9 z a^{-9} +2 z a^{-11} + a^{-4} -3 a^{-6} -4 a^{-8} - a^{-10} }[/math]

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