K12n495

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^4+3 q^3-4 q^2+5 q-6+5 q^{-1} -3 q^{-2} +3 q^{-3} - q^{-5} + q^{-6} - q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ t^3-3 t^2+6 t-7+6 t^{-1} -3 t^{-2} + t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ z^6+3 z^4+3 z^2+1 }[/math]
Determinant	27
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^6-2 a^6+z^4 a^4+4 z^2 a^4+3 a^4-z^4 a^2-2 z^2 a^2+z^6+4 z^4+4 z^2-z^4 a^{-2} -2 z^2 a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+4 a z^9+3 z^9 a^{-1} +a^6 z^8-5 a^2 z^8+3 z^8 a^{-2} -z^8+a^7 z^7+a^5 z^7-7 a^3 z^7-22 a z^7-14 z^7 a^{-1} +z^7 a^{-3} -6 a^6 z^6-2 a^4 z^6+6 a^2 z^6-14 z^6 a^{-2} -12 z^6-6 a^7 z^5-9 a^5 z^5+12 a^3 z^5+36 a z^5+17 z^5 a^{-1} -4 z^5 a^{-3} +9 a^6 z^4+3 a^4 z^4-4 a^2 z^4+16 z^4 a^{-2} +18 z^4+10 a^7 z^3+16 a^5 z^3-6 a^3 z^3-23 a z^3-8 z^3 a^{-1} +3 z^3 a^{-3} -5 a^6 z^2-2 a^4 z^2+2 a^2 z^2-4 z^2 a^{-2} -5 z^2-5 a^7 z-7 a^5 z-a^3 z+2 a z+z a^{-1} +2 a^6+3 a^4 }[/math]

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