K13n3584

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3584/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^3+9 t^2-21 t+27-21 t^{-1} +9 t^{-2} - t^{-3} }[/math]
Conway polynomial	Data:K13n3584/Conway Polynomial
Determinant	89
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-8} +z^4 a^{-4} +3 z^4 a^{-6} -3 z^4 a^{-8} +2 z^4 a^{-10} +2 z^2 a^{-4} +6 z^2 a^{-6} -5 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +2 a^{-6} -3 a^{-8} +2 a^{-10} - a^{-12} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +6 z^{10} a^{-10} +4 z^{10} a^{-12} +z^9 a^{-7} +z^9 a^{-9} +5 z^9 a^{-11} +5 z^9 a^{-13} -8 z^8 a^{-8} -26 z^8 a^{-10} -15 z^8 a^{-12} +3 z^8 a^{-14} -2 z^7 a^{-7} -17 z^7 a^{-9} -38 z^7 a^{-11} -22 z^7 a^{-13} +z^7 a^{-15} +4 z^6 a^{-6} +18 z^6 a^{-8} +40 z^6 a^{-10} +14 z^6 a^{-12} -12 z^6 a^{-14} +2 z^5 a^{-5} +8 z^5 a^{-7} +39 z^5 a^{-9} +66 z^5 a^{-11} +29 z^5 a^{-13} -4 z^5 a^{-15} +z^4 a^{-4} -7 z^4 a^{-6} -18 z^4 a^{-8} -27 z^4 a^{-10} -6 z^4 a^{-12} +11 z^4 a^{-14} -2 z^3 a^{-5} -10 z^3 a^{-7} -31 z^3 a^{-9} -45 z^3 a^{-11} -19 z^3 a^{-13} +3 z^3 a^{-15} -2 z^2 a^{-4} +6 z^2 a^{-6} +11 z^2 a^{-8} +9 z^2 a^{-10} +3 z^2 a^{-12} -3 z^2 a^{-14} +4 z a^{-7} +8 z a^{-9} +10 z a^{-11} +6 z a^{-13} + a^{-4} -2 a^{-6} -3 a^{-8} -2 a^{-10} - a^{-12} }[/math]

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