K12a428

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+4 q^6-9 q^5+14 q^4-20 q^3+25 q^2-25 q+24-19 q^{-1} +13 q^{-2} -7 q^{-3} +3 q^{-4} - q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^4-9 t^3+21 t^2-32 t+37-32 t^{-1} +21 t^{-2} -9 t^{-3} +2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^8+7 z^6+7 z^4+3 z^2+1 }[/math]
Determinant	165
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-2} +z^8-a^2 z^6+4 z^6 a^{-2} -z^6 a^{-4} +5 z^6-4 a^2 z^4+4 z^4 a^{-2} -3 z^4 a^{-4} +10 z^4-5 a^2 z^2-2 z^2 a^{-4} +10 z^2-2 a^2- a^{-4} +4 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +6 z^{10} a^{-4} +5 z^{10}+7 a z^9+7 z^9 a^{-1} +7 z^9 a^{-3} +7 z^9 a^{-5} +7 a^2 z^8-30 z^8 a^{-2} -16 z^8 a^{-4} +4 z^8 a^{-6} -3 z^8+5 a^3 z^7-10 a z^7-26 z^7 a^{-1} -36 z^7 a^{-3} -24 z^7 a^{-5} +z^7 a^{-7} +3 a^4 z^6-11 a^2 z^6+29 z^6 a^{-2} +11 z^6 a^{-4} -13 z^6 a^{-6} -9 z^6+a^5 z^5-6 a^3 z^5+6 a z^5+27 z^5 a^{-1} +41 z^5 a^{-3} +24 z^5 a^{-5} -3 z^5 a^{-7} -5 a^4 z^4+10 a^2 z^4-13 z^4 a^{-2} -7 z^4 a^{-4} +10 z^4 a^{-6} +19 z^4-2 a^5 z^3+a^3 z^3+2 a z^3-9 z^3 a^{-1} -20 z^3 a^{-3} -10 z^3 a^{-5} +2 z^3 a^{-7} +2 a^4 z^2-6 a^2 z^2+4 z^2 a^{-4} -z^2 a^{-6} -13 z^2+a^5 z-2 a z+4 z a^{-3} +3 z a^{-5} +2 a^2- a^{-4} +4 }[/math]

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