K13n2997

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2997/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^4+5 t^3-12 t^2+20 t-23+20 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial	Data:K13n2997/Conway Polynomial
Determinant	99
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8+a^2 z^6+2 z^6 a^{-2} -6 z^6+4 a^2 z^4+8 z^4 a^{-2} -z^4 a^{-4} -13 z^4+4 a^2 z^2+9 z^2 a^{-2} -2 z^2 a^{-4} -10 z^2+2 a^{-2} - a^{-4} }[/math]
Kauffman polynomial	[math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+3 a z^9+4 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-13 a^2 z^8-6 z^8 a^{-2} +3 z^8 a^{-4} -23 z^8-16 a^3 z^7-28 a z^7-22 z^7 a^{-1} -9 z^7 a^{-3} +z^7 a^{-5} -5 a^4 z^6+16 a^2 z^6+6 z^6 a^{-2} -3 z^6 a^{-4} +30 z^6+27 a^3 z^5+46 a z^5+26 z^5 a^{-1} +11 z^5 a^{-3} +4 z^5 a^{-5} +7 a^4 z^4-7 a^2 z^4-15 z^4 a^{-2} +2 z^4 a^{-4} +4 z^4 a^{-6} -27 z^4-15 a^3 z^3-26 a z^3-17 z^3 a^{-1} -10 z^3 a^{-3} -3 z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2+3 a^2 z^2+11 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +14 z^2+a^3 z+3 a z+3 z a^{-1} +2 z a^{-3} +z a^{-5} -2 a^{-2} - a^{-4} }[/math]

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