K12n856

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ 2 q^3-3 q^2+5 q-7+8 q^{-1} -9 q^{-2} +8 q^{-3} -6 q^{-4} +4 q^{-5} -2 q^{-6} + q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ -5 t^2+14 t-17+14 t^{-1} -5 t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ -5 z^4-6 z^2+1 }[/math]
Determinant	55
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ z^2 a^6+a^6-z^4 a^4-z^2 a^4-2 z^4 a^2-3 z^2 a^2-2 z^4-5 z^2-3+2 z^2 a^{-2} +3 a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^2 z^{10}+z^{10}+3 a^3 z^9+4 a z^9+z^9 a^{-1} +3 a^4 z^8-a^2 z^8-4 z^8+3 a^5 z^7-13 a^3 z^7-19 a z^7-3 z^7 a^{-1} +3 a^6 z^6-8 a^4 z^6-5 a^2 z^6+3 z^6 a^{-2} +9 z^6+2 a^7 z^5-6 a^5 z^5+27 a^3 z^5+36 a z^5+z^5 a^{-1} +a^8 z^4-6 a^6 z^4+10 a^4 z^4+12 a^2 z^4-13 z^4 a^{-2} -18 z^4-3 a^7 z^3+6 a^5 z^3-24 a^3 z^3-34 a z^3-z^3 a^{-1} -2 a^8 z^2+5 a^6 z^2-2 a^4 z^2-9 a^2 z^2+14 z^2 a^{-2} +14 z^2+8 a^3 z+10 a z+2 z a^{-1} -a^6-3 a^{-2} -3 }[/math]

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