K13n3696

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3696/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^5-4 t^4+8 t^3-7 t^2+2 t+1+2 t^{-1} -7 t^{-2} +8 t^{-3} -4 t^{-4} + t^{-5} }[/math]
Conway polynomial	Data:K13n3696/Conway Polynomial
Determinant	43
Signature	6
HOMFLY-PT polynomial	[math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} -6 z^6 a^{-4} +24 z^6 a^{-6} -7 z^6 a^{-8} -11 z^4 a^{-4} +36 z^4 a^{-6} -15 z^4 a^{-8} +z^4 a^{-10} -7 z^2 a^{-4} +26 z^2 a^{-6} -13 z^2 a^{-8} +z^2 a^{-10} - a^{-4} +6 a^{-6} -4 a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +8 z^{10} a^{-6} +5 z^{10} a^{-8} +z^9 a^{-3} -8 z^9 a^{-5} -5 z^9 a^{-7} +4 z^9 a^{-9} -19 z^8 a^{-4} -49 z^8 a^{-6} -29 z^8 a^{-8} +z^8 a^{-10} -6 z^7 a^{-3} -2 z^7 a^{-5} -20 z^7 a^{-7} -24 z^7 a^{-9} +40 z^6 a^{-4} +95 z^6 a^{-6} +46 z^6 a^{-8} -8 z^6 a^{-10} +z^6 a^{-12} +12 z^5 a^{-3} +31 z^5 a^{-5} +56 z^5 a^{-7} +34 z^5 a^{-9} -2 z^5 a^{-11} +z^5 a^{-13} -34 z^4 a^{-4} -78 z^4 a^{-6} -31 z^4 a^{-8} +8 z^4 a^{-10} -5 z^4 a^{-12} -9 z^3 a^{-3} -29 z^3 a^{-5} -39 z^3 a^{-7} -16 z^3 a^{-9} -z^3 a^{-11} -4 z^3 a^{-13} +11 z^2 a^{-4} +32 z^2 a^{-6} +16 z^2 a^{-8} -3 z^2 a^{-10} +2 z^2 a^{-12} +2 z a^{-3} +6 z a^{-5} +9 z a^{-7} +3 z a^{-9} +2 z a^{-13} - a^{-4} -6 a^{-6} -4 a^{-8} }[/math]

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