K12a805

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^2-4 q+7-10 q^{-1} +15 q^{-2} -17 q^{-3} +19 q^{-4} -18 q^{-5} +15 q^{-6} -11 q^{-7} +7 q^{-8} -4 q^{-9} + q^{-10} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^5+5 t^4-11 t^3+17 t^2-20 t+21-20 t^{-1} +17 t^{-2} -11 t^{-3} +5 t^{-4} - t^{-5} }[/math]
Conway polynomial	[math]\displaystyle{ -z^{10}-5 z^8-6 z^6+z^4+4 z^2+1 }[/math]
Determinant	129
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ -a^4 z^{10}+a^6 z^8-7 a^4 z^8+a^2 z^8+5 a^6 z^6-16 a^4 z^6+5 a^2 z^6+6 a^6 z^4-11 a^4 z^4+6 a^2 z^4-a^6 z^2+5 a^4 z^2-3 a^6+5 a^4-a^2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^4 a^{12}+4 z^5 a^{11}-3 z^3 a^{11}+7 z^6 a^{10}-7 z^4 a^{10}+z^2 a^{10}+8 z^7 a^9-7 z^5 a^9-3 z^3 a^9+2 z a^9+8 z^8 a^8-9 z^6 a^8-4 z^4 a^8+4 z^2 a^8+8 z^9 a^7-17 z^7 a^7+9 z^5 a^7-2 z^3 a^7+7 z^{10} a^6-22 z^8 a^6+24 z^6 a^6-14 z^4 a^6+3 a^6+3 z^{11} a^5-2 z^9 a^5-25 z^7 a^5+39 z^5 a^5-13 z^3 a^5-2 z a^5+13 z^{10} a^4-61 z^8 a^4+89 z^6 a^4-45 z^4 a^4-z^2 a^4+5 a^4+3 z^{11} a^3-6 z^9 a^3-19 z^7 a^3+43 z^5 a^3-19 z^3 a^3+6 z^{10} a^2-30 z^8 a^2+45 z^6 a^2-24 z^4 a^2+2 z^2 a^2+a^2+4 z^9 a-19 z^7 a+24 z^5 a-8 z^3 a+z^8-4 z^6+3 z^4 }[/math]

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