K13n1915

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1915/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-2 t^3+3 t^2-5 t+7-5 t^{-1} +3 t^{-2} -2 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13n1915/Conway Polynomial
Determinant	29
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ a^2 z^8-a^4 z^6+7 a^2 z^6-5 a^4 z^4+17 a^2 z^4-z^4 a^{-2} -8 a^4 z^2+17 a^2 z^2-3 z^2 a^{-2} -z^2-4 a^4+7 a^2- a^{-2} -1 }[/math]
Kauffman polynomial	[math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+4 a^2 z^{10}+z^{10}+3 a^5 z^9-2 a^3 z^9-5 a z^9+2 a^6 z^8-17 a^4 z^8-27 a^2 z^8+z^8 a^{-2} -7 z^8+a^7 z^7-15 a^5 z^7-14 a^3 z^7+a z^7+z^7 a^{-3} -9 a^6 z^6+31 a^4 z^6+60 a^2 z^6-7 z^6 a^{-2} +13 z^6-5 a^7 z^5+20 a^5 z^5+42 a^3 z^5+19 a z^5-4 z^5 a^{-1} -6 z^5 a^{-3} +8 a^6 z^4-31 a^4 z^4-60 a^2 z^4+12 z^4 a^{-2} -9 z^4+6 a^7 z^3-12 a^5 z^3-41 a^3 z^3-25 a z^3+7 z^3 a^{-1} +9 z^3 a^{-3} -a^6 z^2+18 a^4 z^2+29 a^2 z^2-6 z^2 a^{-2} +4 z^2-2 a^7 z+4 a^5 z+13 a^3 z+8 a z-2 z a^{-1} -3 z a^{-3} -4 a^4-7 a^2+ a^{-2} -1 }[/math]

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