K13n3388

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3388/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -4 t^2+18 t-27+18 t^{-1} -4 t^{-2} }[/math]
Conway polynomial	Data:K13n3388/Conway Polynomial
Determinant	71
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ z^2 a^{10}-z^4 a^8-2 z^4 a^6-2 z^2 a^6-a^6-z^4 a^4+z^2 a^4+a^4+2 z^2 a^2+a^2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+7 z^4 a^{12}-2 z^2 a^{12}+3 z^9 a^{11}-16 z^7 a^{11}+26 z^5 a^{11}-13 z^3 a^{11}+z a^{11}+3 z^{10} a^{10}-14 z^8 a^{10}+18 z^6 a^{10}-6 z^4 a^{10}+z^2 a^{10}+z^{11} a^9-14 z^7 a^9+22 z^5 a^9-10 z^3 a^9+2 z a^9+4 z^{10} a^8-16 z^8 a^8+20 z^6 a^8-15 z^4 a^8+5 z^2 a^8+z^{11} a^7-3 z^9 a^7+8 z^7 a^7-20 z^5 a^7+12 z^3 a^7-2 z a^7+z^{10} a^6-z^8 a^6-4 z^4 a^6-z^2 a^6+a^6+6 z^7 a^5-15 z^5 a^5+12 z^3 a^5-4 z a^5+3 z^6 a^4-2 z^4 a^4+a^4+z^5 a^3+3 z^3 a^3-z a^3+3 z^2 a^2-a^2 }[/math]

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