K13n1573

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1573/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-6 t^3+17 t^2-27 t+31-27 t^{-1} +17 t^{-2} -6 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13n1573/Conway Polynomial
Determinant	133
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-6} -2 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -7 z^4 a^{-4} +10 z^4 a^{-6} -3 z^4 a^{-8} +3 z^2 a^{-2} -7 z^2 a^{-4} +10 z^2 a^{-6} -3 z^2 a^{-8} +2 a^{-2} -3 a^{-4} +4 a^{-6} -2 a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +5 z^{10} a^{-6} +4 z^{10} a^{-8} -2 z^9 a^{-5} +6 z^9 a^{-7} +8 z^9 a^{-9} -3 z^8 a^{-4} -14 z^8 a^{-6} -z^8 a^{-8} +10 z^8 a^{-10} +3 z^7 a^{-3} +8 z^7 a^{-5} -16 z^7 a^{-7} -13 z^7 a^{-9} +8 z^7 a^{-11} +z^6 a^{-2} +12 z^6 a^{-4} +28 z^6 a^{-6} -6 z^6 a^{-8} -19 z^6 a^{-10} +4 z^6 a^{-12} -8 z^5 a^{-3} -11 z^5 a^{-5} +20 z^5 a^{-7} +9 z^5 a^{-9} -13 z^5 a^{-11} +z^5 a^{-13} -4 z^4 a^{-2} -24 z^4 a^{-4} -34 z^4 a^{-6} +5 z^4 a^{-8} +14 z^4 a^{-10} -5 z^4 a^{-12} +5 z^3 a^{-3} -14 z^3 a^{-7} -3 z^3 a^{-9} +5 z^3 a^{-11} -z^3 a^{-13} +5 z^2 a^{-2} +15 z^2 a^{-4} +18 z^2 a^{-6} +4 z^2 a^{-8} -4 z^2 a^{-10} +z a^{-5} +4 z a^{-7} +2 z a^{-9} -z a^{-11} -2 a^{-2} -3 a^{-4} -4 a^{-6} -2 a^{-8} }[/math]

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