K12n790

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^5+4 q^4-10 q^3+16 q^2-20 q+23-21 q^{-1} +18 q^{-2} -12 q^{-3} +6 q^{-4} -2 q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-5 t^3+15 t^2-28 t+35-28 t^{-1} +15 t^{-2} -5 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8+3 z^6+5 z^4+3 z^2+1 }[/math]
Determinant	133
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +5 z^6-2 a^2 z^4-3 z^4 a^{-2} +10 z^4-a^4 z^2-a^2 z^2-4 z^2 a^{-2} +9 z^2-a^4-2 a^{-2} +4 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+3 a^3 z^9+11 a z^9+8 z^9 a^{-1} +a^4 z^8+4 a^2 z^8+12 z^8 a^{-2} +15 z^8-3 a^3 z^7-18 a z^7-6 z^7 a^{-1} +9 z^7 a^{-3} +4 a^4 z^6-9 a^2 z^6-23 z^6 a^{-2} +4 z^6 a^{-4} -40 z^6+3 a^5 z^5+6 a^3 z^5+9 a z^5-9 z^5 a^{-1} -14 z^5 a^{-3} +z^5 a^{-5} -9 a^4 z^4+4 a^2 z^4+19 z^4 a^{-2} -4 z^4 a^{-4} +36 z^4-6 a^5 z^3-11 a^3 z^3-a z^3+13 z^3 a^{-1} +8 z^3 a^{-3} -z^3 a^{-5} +4 a^4 z^2-2 a^2 z^2-9 z^2 a^{-2} -15 z^2+3 a^5 z+4 a^3 z-a z-5 z a^{-1} -3 z a^{-3} -a^4+2 a^{-2} +4 }[/math]

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