K12n56

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^4+2 q^3-2 q^2+2 q- q^{-1} +2 q^{-2} -3 q^{-3} +4 q^{-4} -3 q^{-5} +2 q^{-6} - q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ t^2-2 t+3-2 t^{-1} + t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ z^4+2 z^2+1 }[/math]
Determinant	9
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^6-2 a^6+2 z^4 a^4+7 z^2 a^4+6 a^4-z^6 a^2-6 z^4 a^2-12 z^2 a^2-8 a^2+z^6+6 z^4+11 z^2+7-z^4 a^{-2} -3 z^2 a^{-2} -2 a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^5 z^9+a^3 z^9+a z^9+z^9 a^{-1} +2 a^6 z^8+4 a^4 z^8+3 a^2 z^8+2 z^8 a^{-2} +3 z^8+a^7 z^7-2 a^5 z^7-4 a^3 z^7-6 a z^7-4 z^7 a^{-1} +z^7 a^{-3} -10 a^6 z^6-22 a^4 z^6-22 a^2 z^6-11 z^6 a^{-2} -21 z^6-5 a^7 z^5-8 a^5 z^5-2 a^3 z^5+4 a z^5-2 z^5 a^{-1} -5 z^5 a^{-3} +14 a^6 z^4+34 a^4 z^4+43 a^2 z^4+16 z^4 a^{-2} +39 z^4+7 a^7 z^3+14 a^5 z^3+8 a^3 z^3+5 a z^3+10 z^3 a^{-1} +6 z^3 a^{-3} -8 a^6 z^2-23 a^4 z^2-33 a^2 z^2-9 z^2 a^{-2} -27 z^2-3 a^7 z-5 a^5 z-3 a^3 z-3 a z-4 z a^{-1} -2 z a^{-3} +2 a^6+6 a^4+8 a^2+2 a^{-2} +7 }[/math]

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