K12n796

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-3 q^{11}+6 q^{10}-11 q^9+14 q^8-16 q^7+16 q^6-13 q^5+10 q^4-5 q^3+2 q^2 }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^3+11 t^2-22 t+27-22 t^{-1} +11 t^{-2} -2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^6-z^4+4 z^2+1 }[/math]
Determinant	97
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +4 z^2 a^{-4} +3 z^2 a^{-6} -5 z^2 a^{-8} +2 z^2 a^{-10} + a^{-4} +3 a^{-6} -4 a^{-8} + a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-8} +2 z^{10} a^{-10} +4 z^9 a^{-7} +8 z^9 a^{-9} +4 z^9 a^{-11} +3 z^8 a^{-6} -2 z^8 a^{-8} -z^8 a^{-10} +4 z^8 a^{-12} +z^7 a^{-5} -11 z^7 a^{-7} -24 z^7 a^{-9} -9 z^7 a^{-11} +3 z^7 a^{-13} -3 z^6 a^{-6} +7 z^6 a^{-8} -9 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} +24 z^5 a^{-7} +38 z^5 a^{-9} +8 z^5 a^{-11} -9 z^5 a^{-13} +3 z^4 a^{-4} +z^4 a^{-6} -13 z^4 a^{-8} -5 z^4 a^{-10} +3 z^4 a^{-12} -3 z^4 a^{-14} -5 z^3 a^{-5} -22 z^3 a^{-7} -30 z^3 a^{-9} -6 z^3 a^{-11} +7 z^3 a^{-13} -5 z^2 a^{-4} +4 z^2 a^{-6} +13 z^2 a^{-8} +3 z^2 a^{-10} +z^2 a^{-12} +2 z^2 a^{-14} +z a^{-5} +8 z a^{-7} +8 z a^{-9} -z a^{-13} + a^{-4} -3 a^{-6} -4 a^{-8} - a^{-10} }[/math]

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