K12n705

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+4 q^6-8 q^5+12 q^4-16 q^3+18 q^2-17 q+15-10 q^{-1} +6 q^{-2} -2 q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^3+9 t^2-26 t+37-26 t^{-1} +9 t^{-2} - t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -z^6+3 z^4+z^2+1 }[/math]
Determinant	109
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-2} -2 z^4 a^{-2} +2 z^4 a^{-4} +3 z^4-2 a^2 z^2-3 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} +5 z^2-a^2- a^{-2} +3 }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 z^{10} a^{-2} +3 z^{10} a^{-4} +7 z^9 a^{-1} +13 z^9 a^{-3} +6 z^9 a^{-5} +2 z^8 a^{-2} -z^8 a^{-4} +4 z^8 a^{-6} +7 z^8+4 a z^7-16 z^7 a^{-1} -42 z^7 a^{-3} -21 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-21 z^6 a^{-2} -21 z^6 a^{-4} -14 z^6 a^{-6} -13 z^6-a z^5+16 z^5 a^{-1} +40 z^5 a^{-3} +20 z^5 a^{-5} -3 z^5 a^{-7} +6 a^2 z^4+18 z^4 a^{-2} +23 z^4 a^{-4} +13 z^4 a^{-6} +14 z^4+3 a^3 z^3+a z^3-10 z^3 a^{-1} -16 z^3 a^{-3} -6 z^3 a^{-5} +2 z^3 a^{-7} -5 a^2 z^2-6 z^2 a^{-2} -5 z^2 a^{-4} -3 z^2 a^{-6} -9 z^2-a^3 z-a z+z a^{-1} +2 z a^{-3} +z a^{-5} +a^2+ a^{-2} +3 }[/math]

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