K12n248

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q+2-2 q^{-1} +3 q^{-2} -3 q^{-3} +4 q^{-4} -3 q^{-5} +3 q^{-6} -2 q^{-7} + q^{-8} - q^{-9} }[/math]
Alexander polynomial	[math]\displaystyle{ 3 t^2-6 t+7-6 t^{-1} +3 t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ 3 z^4+6 z^2+1 }[/math]
Determinant	25
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^8-2 a^8+z^4 a^6+3 z^2 a^6+2 a^6+z^4 a^4+2 z^2 a^4+z^4 a^2+3 z^2 a^2+2 a^2-z^2-1 }[/math]
Kauffman polynomial	[math]\displaystyle{ a^8 z^{10}+a^6 z^{10}+a^9 z^9+3 a^7 z^9+2 a^5 z^9-7 a^8 z^8-5 a^6 z^8+2 a^4 z^8-8 a^9 z^7-21 a^7 z^7-11 a^5 z^7+2 a^3 z^7+16 a^8 z^6+6 a^6 z^6-8 a^4 z^6+2 a^2 z^6+22 a^9 z^5+49 a^7 z^5+19 a^5 z^5-7 a^3 z^5+a z^5-14 a^8 z^4-a^6 z^4+6 a^4 z^4-7 a^2 z^4-24 a^9 z^3-44 a^7 z^3-14 a^5 z^3+4 a^3 z^3-2 a z^3+6 a^8 z^2+2 a^6 z^2+6 a^2 z^2+2 z^2+9 a^9 z+13 a^7 z+4 a^5 z+a z+z a^{-1} -2 a^8-2 a^6-2 a^2-1 }[/math]

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