K12n17

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^3-3 q^2+7 q-11+14 q^{-1} -15 q^{-2} +15 q^{-3} -12 q^{-4} +8 q^{-5} -4 q^{-6} + q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ t^3-8 t^2+22 t-29+22 t^{-1} -8 t^{-2} + t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ z^6-2 z^4-z^2+1 }[/math]
Determinant	91
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ z^2 a^6-2 z^4 a^4-2 z^2 a^4+z^6 a^2+2 z^4 a^2+2 z^2 a^2+a^2-2 z^4-3 z^2-1+z^2 a^{-2} + a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+5 a^3 z^9+3 a z^9+a^6 z^8+2 a^4 z^8+5 a^2 z^8+4 z^8-3 a^5 z^7-7 a^3 z^7-a z^7+3 z^7 a^{-1} +2 a^6 z^6-10 a^2 z^6+z^6 a^{-2} -7 z^6+4 a^7 z^5+11 a^5 z^5+6 a^3 z^5-9 a z^5-8 z^5 a^{-1} +a^8 z^4-3 a^4 z^4-a^2 z^4-3 z^4 a^{-2} -2 z^4-4 a^7 z^3-10 a^5 z^3-8 a^3 z^3+4 a z^3+6 z^3 a^{-1} -a^8 z^2+2 a^4 z^2+3 a^2 z^2+3 z^2 a^{-2} +5 z^2+a^7 z+3 a^5 z+3 a^3 z-z a^{-1} -a^2- a^{-2} -1 }[/math]

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