K13n2716

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2716/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-7 t^3+20 t^2-33 t+39-33 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13n2716/Conway Polynomial
Determinant	161
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-3 a^2 z^6-z^6 a^{-2} +5 z^6+3 a^4 z^4-11 a^2 z^4-4 z^4 a^{-2} +10 z^4-a^6 z^2+8 a^4 z^2-12 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +9 z^2-2 a^6+5 a^4-4 a^2-2 a^{-2} + a^{-4} +3 }[/math]
Kauffman polynomial	[math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+8 a^2 z^{10}+4 z^{10}+5 a^5 z^9+13 a^3 z^9+14 a z^9+6 z^9 a^{-1} +3 a^6 z^8-3 a^4 z^8-7 a^2 z^8+4 z^8 a^{-2} +3 z^8+a^7 z^7-14 a^5 z^7-44 a^3 z^7-40 a z^7-10 z^7 a^{-1} +z^7 a^{-3} -10 a^6 z^6-17 a^4 z^6-25 a^2 z^6-4 z^6 a^{-2} -22 z^6-4 a^7 z^5+10 a^5 z^5+40 a^3 z^5+36 a z^5+15 z^5 a^{-1} +5 z^5 a^{-3} +11 a^6 z^4+23 a^4 z^4+36 a^2 z^4+10 z^4 a^{-2} +3 z^4 a^{-4} +31 z^4+5 a^7 z^3-a^5 z^3-14 a^3 z^3-10 a z^3-9 z^3 a^{-1} -7 z^3 a^{-3} -6 a^6 z^2-15 a^4 z^2-18 a^2 z^2-10 z^2 a^{-2} -4 z^2 a^{-4} -15 z^2-2 a^7 z-2 a^5 z+2 z a^{-1} +2 z a^{-3} +2 a^6+5 a^4+4 a^2+2 a^{-2} + a^{-4} +3 }[/math]

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