K12a396

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+3 q^6-8 q^5+15 q^4-21 q^3+28 q^2-30 q+28-24 q^{-1} +17 q^{-2} -9 q^{-3} +4 q^{-4} - q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-7 t^3+22 t^2-40 t+49-40 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8+z^6+z^2+1 }[/math]
Determinant	189
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-a^2 z^6-3 z^6 a^{-2} +5 z^6-3 a^2 z^4-11 z^4 a^{-2} +3 z^4 a^{-4} +11 z^4-3 a^2 z^2-13 z^2 a^{-2} +8 z^2 a^{-4} -z^2 a^{-6} +10 z^2-4 a^{-2} +5 a^{-4} -2 a^{-6} +2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +9 z^{10} a^{-2} +4 z^{10} a^{-4} +5 z^{10}+10 a z^9+20 z^9 a^{-1} +15 z^9 a^{-3} +5 z^9 a^{-5} +11 a^2 z^8-4 z^8 a^{-2} -2 z^8 a^{-4} +3 z^8 a^{-6} +12 z^8+8 a^3 z^7-8 a z^7-50 z^7 a^{-1} -49 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} +4 a^4 z^6-14 a^2 z^6-34 z^6 a^{-2} -19 z^6 a^{-4} -10 z^6 a^{-6} -43 z^6+a^5 z^5-10 a^3 z^5-5 a z^5+41 z^5 a^{-1} +50 z^5 a^{-3} +11 z^5 a^{-5} -4 z^5 a^{-7} -5 a^4 z^4+6 a^2 z^4+43 z^4 a^{-2} +27 z^4 a^{-4} +11 z^4 a^{-6} +38 z^4-a^5 z^3+5 a^3 z^3+7 a z^3-14 z^3 a^{-1} -22 z^3 a^{-3} -2 z^3 a^{-5} +5 z^3 a^{-7} +2 a^4 z^2-19 z^2 a^{-2} -15 z^2 a^{-4} -6 z^2 a^{-6} -12 z^2-a^3 z-3 a z-z a^{-1} +2 z a^{-3} -z a^{-5} -2 z a^{-7} +4 a^{-2} +5 a^{-4} +2 a^{-6} +2 }[/math]

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