K12a1286

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^4-q^3+3 q^2-4 q+4-6 q^{-1} +6 q^{-2} -5 q^{-3} +5 q^{-4} -4 q^{-5} +3 q^{-6} -2 q^{-7} + q^{-8} }[/math]
Alexander polynomial	[math]\displaystyle{ -3 t^3+7 t^2-8 t+9-8 t^{-1} +7 t^{-2} -3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -3 z^6-11 z^4-7 z^2+1 }[/math]
Determinant	45
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ z^4 a^6+3 z^2 a^6+a^6-z^6 a^4-4 z^4 a^4-3 z^2 a^4-z^6 a^2-4 z^4 a^2-3 z^2 a^2+a^2-z^6-5 z^4-8 z^2-5+z^4 a^{-2} +4 z^2 a^{-2} +4 a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+z^{10} a^{-2} +4 z^{10}+5 a^3 z^9-2 a z^9-7 z^9 a^{-1} +5 a^4 z^8-16 a^2 z^8-9 z^8 a^{-2} -30 z^8+5 a^5 z^7-27 a^3 z^7-17 a z^7+15 z^7 a^{-1} +5 a^6 z^6-20 a^4 z^6+23 a^2 z^6+30 z^6 a^{-2} +78 z^6+4 a^7 z^5-16 a^5 z^5+45 a^3 z^5+57 a z^5-8 z^5 a^{-1} +3 a^8 z^4-13 a^6 z^4+17 a^4 z^4-7 a^2 z^4-45 z^4 a^{-2} -85 z^4+2 a^9 z^3-6 a^7 z^3+9 a^5 z^3-29 a^3 z^3-50 a z^3-4 z^3 a^{-1} +a^{10} z^2-2 a^8 z^2+6 a^6 z^2+a^2 z^2+28 z^2 a^{-2} +38 z^2+8 a^3 z+9 a z+z a^{-1} -a^6-a^2-4 a^{-2} -5 }[/math]

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