K12n555

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^2+5 q-10+15 q^{-1} -21 q^{-2} +23 q^{-3} -20 q^{-4} +19 q^{-5} -12 q^{-6} +6 q^{-7} -3 q^{-8} }[/math]
Alexander polynomial	[math]\displaystyle{ t^3-9 t^2+33 t-49+33 t^{-1} -9 t^{-2} + t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ z^6-3 z^4+6 z^2+1 }[/math]
Determinant	135
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ -3 a^8+6 z^2 a^6+4 a^6-4 z^4 a^4-4 z^2 a^4+z^6 a^2+2 z^4 a^2+4 z^2 a^2-z^4 }[/math]
Kauffman polynomial	[math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+4 a^7 z^9+9 a^5 z^9+5 a^3 z^9+3 a^8 z^8+14 a^6 z^8+21 a^4 z^8+10 a^2 z^8-8 a^7 z^7-4 a^5 z^7+14 a^3 z^7+10 a z^7-6 a^8 z^6-42 a^6 z^6-50 a^4 z^6-9 a^2 z^6+5 z^6+6 a^9 z^5+18 a^7 z^5-18 a^5 z^5-46 a^3 z^5-15 a z^5+z^5 a^{-1} +8 a^8 z^4+51 a^6 z^4+44 a^4 z^4-4 a^2 z^4-5 z^4-16 a^9 z^3-29 a^7 z^3+11 a^5 z^3+30 a^3 z^3+6 a z^3-5 a^8 z^2-24 a^6 z^2-19 a^4 z^2+11 a^9 z+17 a^7 z+7 a^5 z+a^3 z-3 a^8-4 a^6 }[/math]

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