K13a1049

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1049/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-9 t^3+32 t^2-61 t+75-61 t^{-1} +32 t^{-2} -9 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13a1049/Conway Polynomial
Determinant	281
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-3 a^2 z^6-2 z^6 a^{-2} +4 z^6+3 a^4 z^4-10 a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +9 z^4-a^6 z^2+8 a^4 z^2-12 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +10 z^2-2 a^6+5 a^4-5 a^2- a^{-2} +4 }[/math]
Kauffman polynomial	[math]\displaystyle{ a^2 z^{12}+z^{12}+3 a^3 z^{11}+8 a z^{11}+5 z^{11} a^{-1} +5 a^4 z^{10}+12 a^2 z^{10}+11 z^{10} a^{-2} +18 z^{10}+5 a^5 z^9+8 a^3 z^9+2 a z^9+13 z^9 a^{-1} +14 z^9 a^{-3} +3 a^6 z^8-5 a^4 z^8-21 a^2 z^8-9 z^8 a^{-2} +11 z^8 a^{-4} -33 z^8+a^7 z^7-13 a^5 z^7-35 a^3 z^7-33 a z^7-42 z^7 a^{-1} -25 z^7 a^{-3} +5 z^7 a^{-5} -10 a^6 z^6-14 a^4 z^6-6 a^2 z^6-13 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} +7 z^6-4 a^7 z^5+9 a^5 z^5+38 a^3 z^5+36 a z^5+30 z^5 a^{-1} +11 z^5 a^{-3} -8 z^5 a^{-5} +11 a^6 z^4+26 a^4 z^4+33 a^2 z^4+15 z^4 a^{-2} +10 z^4 a^{-4} -z^4 a^{-6} +22 z^4+5 a^7 z^3-a^5 z^3-17 a^3 z^3-11 a z^3-2 z^3 a^{-1} +2 z^3 a^{-5} -6 a^6 z^2-18 a^4 z^2-24 a^2 z^2-5 z^2 a^{-2} -z^2 a^{-4} -16 z^2-2 a^7 z-a^5 z+2 a^3 z-2 z a^{-1} -z a^{-3} +2 a^6+5 a^4+5 a^2+ a^{-2} +4 }[/math]

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