K13a586

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a586/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -4 t^3+25 t^2-59 t+77-59 t^{-1} +25 t^{-2} -4 t^{-3} }[/math]
Conway polynomial	Data:K13a586/Conway Polynomial
Determinant	253
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^{12}+2 z^4 a^{10}-2 a^{10}-z^6 a^8+2 z^4 a^8+6 z^2 a^8+3 a^8-2 z^6 a^6-3 z^4 a^6-2 z^2 a^6-a^6-z^6 a^4-z^4 a^4+z^4 a^2+2 z^2 a^2+a^2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^7 a^{15}-3 z^5 a^{15}+3 z^3 a^{15}-z a^{15}+4 z^8 a^{14}-12 z^6 a^{14}+11 z^4 a^{14}-3 z^2 a^{14}+7 z^9 a^{13}-18 z^7 a^{13}+11 z^5 a^{13}-z a^{13}+7 z^{10} a^{12}-11 z^8 a^{12}-6 z^6 a^{12}+10 z^4 a^{12}-2 z^2 a^{12}+4 z^{11} a^{11}+4 z^9 a^{11}-24 z^7 a^{11}+11 z^5 a^{11}+6 z^3 a^{11}-4 z a^{11}+z^{12} a^{10}+12 z^{10} a^{10}-23 z^8 a^{10}+15 z^4 a^{10}-9 z^2 a^{10}+2 a^{10}+7 z^{11} a^9-z^9 a^9-15 z^7 a^9+4 z^5 a^9+10 z^3 a^9-4 z a^9+z^{12} a^8+10 z^{10} a^8-11 z^8 a^8-13 z^6 a^8+28 z^4 a^8-15 z^2 a^8+3 a^8+3 z^{11} a^7+8 z^9 a^7-19 z^7 a^7+12 z^5 a^7-z a^7+5 z^{10} a^6+2 z^8 a^6-16 z^6 a^6+17 z^4 a^6-7 z^2 a^6+a^6+6 z^9 a^5-6 z^7 a^5-2 z^5 a^5+4 z^3 a^5-2 z a^5+5 z^8 a^4-8 z^6 a^4+2 z^4 a^4+z^2 a^4+3 z^7 a^3-7 z^5 a^3+5 z^3 a^3-z a^3+z^6 a^2-3 z^4 a^2+3 z^2 a^2-a^2 }[/math]

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