K12a357

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+4 q^6-9 q^5+15 q^4-21 q^3+26 q^2-27 q+25-20 q^{-1} +14 q^{-2} -7 q^{-3} +3 q^{-4} - q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ -3 t^3+17 t^2-40 t+53-40 t^{-1} +17 t^{-2} -3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -3 z^6-z^4+z^2+1 }[/math]
Determinant	173
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -2 z^6 a^{-2} -z^6+2 a^2 z^4-6 z^4 a^{-2} +3 z^4 a^{-4} -a^4 z^2+3 a^2 z^2-8 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +2 z^2-a^4+2 a^2-3 a^{-2} +3 a^{-4} - a^{-6} +1 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +8 z^{10} a^{-2} +4 z^{10} a^{-4} +4 z^{10}+7 a z^9+15 z^9 a^{-1} +14 z^9 a^{-3} +6 z^9 a^{-5} +7 a^2 z^8-3 z^8 a^{-2} +z^8 a^{-4} +4 z^8 a^{-6} +7 z^8+5 a^3 z^7-7 a z^7-39 z^7 a^{-1} -44 z^7 a^{-3} -16 z^7 a^{-5} +z^7 a^{-7} +3 a^4 z^6-8 a^2 z^6-37 z^6 a^{-2} -32 z^6 a^{-4} -13 z^6 a^{-6} -29 z^6+a^5 z^5-5 a^3 z^5+3 a z^5+33 z^5 a^{-1} +35 z^5 a^{-3} +8 z^5 a^{-5} -3 z^5 a^{-7} -5 a^4 z^4+3 a^2 z^4+50 z^4 a^{-2} +40 z^4 a^{-4} +13 z^4 a^{-6} +31 z^4-2 a^5 z^3-12 z^3 a^{-1} -10 z^3 a^{-3} +3 z^3 a^{-5} +3 z^3 a^{-7} +3 a^4 z^2+3 a^2 z^2-24 z^2 a^{-2} -18 z^2 a^{-4} -5 z^2 a^{-6} -11 z^2+a^5 z+a^3 z+z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} -a^4-2 a^2+3 a^{-2} +3 a^{-4} + a^{-6} +1 }[/math]

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