K12n211

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ 2 q^5-4 q^4+6 q^3-8 q^2+8 q-8+7 q^{-1} -4 q^{-2} +3 q^{-3} - q^{-4} }[/math]
Alexander polynomial	[math]\displaystyle{ t^3-6 t^2+12 t-13+12 t^{-1} -6 t^{-2} + t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ z^6-3 z^2+1 }[/math]
Determinant	51
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^6-a^2 z^4-3 z^4 a^{-2} +4 z^4-2 a^2 z^2-9 z^2 a^{-2} +2 z^2 a^{-4} +6 z^2-6 a^{-2} +3 a^{-4} +4 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+6 z^9 a^{-1} +3 z^9 a^{-3} +3 a^2 z^8+2 z^8 a^{-2} +2 z^8 a^{-4} +3 z^8+a^3 z^7-12 a z^7-28 z^7 a^{-1} -15 z^7 a^{-3} -14 a^2 z^6-27 z^6 a^{-2} -10 z^6 a^{-4} -31 z^6-4 a^3 z^5+11 a z^5+41 z^5 a^{-1} +27 z^5 a^{-3} +z^5 a^{-5} +18 a^2 z^4+53 z^4 a^{-2} +20 z^4 a^{-4} +51 z^4+3 a^3 z^3-5 a z^3-28 z^3 a^{-1} -20 z^3 a^{-3} -8 a^2 z^2-36 z^2 a^{-2} -14 z^2 a^{-4} +z^2 a^{-6} -29 z^2+3 a z+9 z a^{-1} +6 z a^{-3} +6 a^{-2} +3 a^{-4} +4 }[/math]

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