K12n560

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ 2 q^4-7 q^3+13 q^2-18 q+22-22 q^{-1} +20 q^{-2} -15 q^{-3} +9 q^{-4} -4 q^{-5} + q^{-6} }[/math]
Alexander polynomial	[math]\displaystyle{ -3 t^3+14 t^2-30 t+39-30 t^{-1} +14 t^{-2} -3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -3 z^6-4 z^4-z^2+1 }[/math]
Determinant	133
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -a^2 z^6-2 z^6+a^4 z^4-a^2 z^4+2 z^4 a^{-2} -6 z^4+a^4 z^2+a^2 z^2+3 z^2 a^{-2} -6 z^2+a^2+ a^{-2} -1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+6 a^3 z^9+11 a z^9+5 z^9 a^{-1} +7 a^4 z^8+12 a^2 z^8+4 z^8 a^{-2} +9 z^8+4 a^5 z^7-5 a^3 z^7-13 a z^7-3 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-15 a^4 z^6-32 a^2 z^6+z^6 a^{-2} -15 z^6-9 a^5 z^5-11 a^3 z^5-5 a z^5+4 z^5 a^{-1} +7 z^5 a^{-3} -2 a^6 z^4+9 a^4 z^4+17 a^2 z^4-3 z^4 a^{-2} +3 z^4 a^{-4} +6 a^5 z^3+10 a^3 z^3+6 a z^3-5 z^3 a^{-1} -7 z^3 a^{-3} +a^6 z^2-2 a^4 z^2-a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +6 z^2-a^5 z-2 a^3 z-a z+z a^{-1} +z a^{-3} -a^2- a^{-2} -1 }[/math]

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