K12n79

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{11}-2 q^{10}+2 q^9-3 q^8+3 q^7-3 q^6+3 q^5-2 q^4+2 q^3-q^2+q }[/math]
Alexander polynomial	[math]\displaystyle{ -t^2+6 t-9+6 t^{-1} - t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ -z^4+2 z^2+1 }[/math]
Determinant	23
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^4 a^{-8} +z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} + a^{-2} +2 a^{-6} -3 a^{-8} + a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +3 z^9 a^{-9} +2 z^9 a^{-11} -6 z^8 a^{-8} -5 z^8 a^{-10} +z^8 a^{-12} -6 z^7 a^{-7} -19 z^7 a^{-9} -13 z^7 a^{-11} +2 z^6 a^{-6} +13 z^6 a^{-8} +5 z^6 a^{-10} -6 z^6 a^{-12} +z^5 a^{-5} +14 z^5 a^{-7} +39 z^5 a^{-9} +26 z^5 a^{-11} +z^4 a^{-4} -7 z^4 a^{-6} -16 z^4 a^{-8} +2 z^4 a^{-10} +10 z^4 a^{-12} +z^3 a^{-3} -z^3 a^{-5} -17 z^3 a^{-7} -33 z^3 a^{-9} -18 z^3 a^{-11} +z^2 a^{-2} +6 z^2 a^{-6} +10 z^2 a^{-8} -z^2 a^{-10} -4 z^2 a^{-12} +6 z a^{-7} +10 z a^{-9} +4 z a^{-11} - a^{-2} -2 a^{-6} -3 a^{-8} - a^{-10} }[/math]

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