K12n144

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q-3+7 q^{-1} -9 q^{-2} +12 q^{-3} -13 q^{-4} +11 q^{-5} -9 q^{-6} +6 q^{-7} -3 q^{-8} + q^{-9} }[/math]
Alexander polynomial	[math]\displaystyle{ t^3-7 t^2+18 t-23+18 t^{-1} -7 t^{-2} + t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ z^6-z^4-z^2+1 }[/math]
Determinant	75
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-4 z^2 a^6-2 a^6+z^6 a^4+3 z^4 a^4+4 z^2 a^4+a^4-2 z^4 a^2-3 z^2 a^2+z^2+1 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^6 a^{10}-3 z^4 a^{10}+2 z^2 a^{10}+3 z^7 a^9-9 z^5 a^9+6 z^3 a^9-z a^9+4 z^8 a^8-11 z^6 a^8+7 z^4 a^8-3 z^2 a^8+a^8+3 z^9 a^7-6 z^7 a^7+2 z^5 a^7-3 z^3 a^7+2 z a^7+z^{10} a^6+3 z^8 a^6-14 z^6 a^6+17 z^4 a^6-10 z^2 a^6+2 a^6+5 z^9 a^5-16 z^7 a^5+26 z^5 a^5-20 z^3 a^5+7 z a^5+z^{10} a^4-3 z^6 a^4+11 z^4 a^4-8 z^2 a^4+a^4+2 z^9 a^3-7 z^7 a^3+18 z^5 a^3-15 z^3 a^3+5 z a^3+z^8 a^2-z^6 a^2+5 z^4 a^2-5 z^2 a^2+3 z^5 a-4 z^3 a+z a+z^4-2 z^2+1 }[/math]

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