K12a1065

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+5 q^6-13 q^5+24 q^4-36 q^3+45 q^2-48 q+46-37 q^{-1} +26 q^{-2} -14 q^{-3} +5 q^{-4} - q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-8 t^3+31 t^2-67 t+87-67 t^{-1} +31 t^{-2} -8 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8+3 z^4+z^2+1 }[/math]
Determinant	301
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-a^2 z^6-3 z^6 a^{-2} +4 z^6-2 a^2 z^4-7 z^4 a^{-2} +3 z^4 a^{-4} +9 z^4-3 a^2 z^2-6 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +8 z^2-a^2- a^{-2} +3 }[/math]
Kauffman polynomial	[math]\displaystyle{ 5 z^{11} a^{-1} +5 z^{11} a^{-3} +30 z^{10} a^{-2} +12 z^{10} a^{-4} +18 z^{10}+28 a z^9+39 z^9 a^{-1} +22 z^9 a^{-3} +11 z^9 a^{-5} +25 a^2 z^8-53 z^8 a^{-2} -20 z^8 a^{-4} +5 z^8 a^{-6} -3 z^8+14 a^3 z^7-42 a z^7-111 z^7 a^{-1} -84 z^7 a^{-3} -28 z^7 a^{-5} +z^7 a^{-7} +5 a^4 z^6-36 a^2 z^6+z^6 a^{-2} -3 z^6 a^{-4} -12 z^6 a^{-6} -49 z^6+a^5 z^5-12 a^3 z^5+18 a z^5+82 z^5 a^{-1} +77 z^5 a^{-3} +24 z^5 a^{-5} -2 z^5 a^{-7} -a^4 z^4+22 a^2 z^4+25 z^4 a^{-2} +15 z^4 a^{-4} +9 z^4 a^{-6} +42 z^4+5 a^3 z^3-2 a z^3-22 z^3 a^{-1} -24 z^3 a^{-3} -8 z^3 a^{-5} +z^3 a^{-7} -7 a^2 z^2-9 z^2 a^{-2} -4 z^2 a^{-4} -2 z^2 a^{-6} -14 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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