K12a385

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^5+4 q^4-8 q^3+14 q^2-20 q+24-25 q^{-1} +23 q^{-2} -18 q^{-3} +13 q^{-4} -7 q^{-5} +3 q^{-6} - q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^3+14 t^2-38 t+53-38 t^{-1} +14 t^{-2} -2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^6+2 z^4+1 }[/math]
Determinant	161
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+2 a^4-z^6 a^2-z^4 a^2-z^2 a^2-z^6-z^4-2 z^2-1+2 z^4 a^{-2} +2 z^2 a^{-2} + a^{-2} -z^2 a^{-4} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+7 a^2 z^{10}+4 z^{10}+4 a^5 z^9+8 a^3 z^9+11 a z^9+7 z^9 a^{-1} +3 a^6 z^8-a^4 z^8-9 a^2 z^8+8 z^8 a^{-2} +3 z^8+a^7 z^7-10 a^5 z^7-24 a^3 z^7-25 a z^7-5 z^7 a^{-1} +7 z^7 a^{-3} -11 a^6 z^6-16 a^4 z^6-3 a^2 z^6-8 z^6 a^{-2} +4 z^6 a^{-4} -10 z^6-4 a^7 z^5+2 a^5 z^5+15 a^3 z^5+17 a z^5-3 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} +13 a^6 z^4+19 a^4 z^4+2 a^2 z^4-2 z^4 a^{-2} -6 z^4 a^{-4} +5 a^7 z^3+7 a^5 z^3-a^3 z^3-4 a z^3+4 z^3 a^{-1} +4 z^3 a^{-3} -z^3 a^{-5} -6 a^6 z^2-8 a^4 z^2+a^2 z^2+5 z^2 a^{-2} +2 z^2 a^{-4} +6 z^2-2 a^7 z-3 a^5 z-a^3 z-a z-z a^{-1} +a^6+2 a^4- a^{-2} -1 }[/math]

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