K12n716

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^6+3 q^5-6 q^4+10 q^3-12 q^2+13 q-12+10 q^{-1} -7 q^{-2} +4 q^{-3} - q^{-4} }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^3-9 t^2+18 t-21+18 t^{-1} -9 t^{-2} +2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^6+3 z^4+1 }[/math]
Determinant	79
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +2 z^4-a^2 z^2+4 z^2 a^{-2} -2 z^2 a^{-4} -z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+5 a z^9+8 z^9 a^{-1} +3 z^9 a^{-3} +4 a^2 z^8-3 z^8 a^{-2} +z^8 a^{-4} +a^3 z^7-18 a z^7-27 z^7 a^{-1} -8 z^7 a^{-3} -15 a^2 z^6+z^6 a^{-2} +4 z^6 a^{-4} -18 z^6-3 a^3 z^5+15 a z^5+25 z^5 a^{-1} +13 z^5 a^{-3} +6 z^5 a^{-5} +14 a^2 z^4-9 z^4 a^{-2} -8 z^4 a^{-4} +3 z^4 a^{-6} +16 z^4+2 a^3 z^3-2 a z^3-10 z^3 a^{-1} -13 z^3 a^{-3} -6 z^3 a^{-5} +z^3 a^{-7} -2 a^2 z^2+10 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +2 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math]

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