K12n814

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^{10}+4 q^9-8 q^8+12 q^7-15 q^6+16 q^5-15 q^4+12 q^3-8 q^2+4 q }[/math]
Alexander polynomial	[math]\displaystyle{ -6 t^2+24 t-35+24 t^{-1} -6 t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ 1-6 z^4 }[/math]
Determinant	95
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -3 z^4 a^{-4} -3 z^4 a^{-6} +4 z^2 a^{-2} -4 z^2 a^{-4} -4 z^2 a^{-6} +4 z^2 a^{-8} +3 a^{-2} -2 a^{-4} -2 a^{-6} +3 a^{-8} - a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-6} +2 z^{10} a^{-8} +5 z^9 a^{-5} +10 z^9 a^{-7} +5 z^9 a^{-9} +3 z^8 a^{-4} +4 z^8 a^{-6} +5 z^8 a^{-8} +4 z^8 a^{-10} -14 z^7 a^{-5} -29 z^7 a^{-7} -14 z^7 a^{-9} +z^7 a^{-11} -3 z^6 a^{-4} -24 z^6 a^{-6} -35 z^6 a^{-8} -14 z^6 a^{-10} +6 z^5 a^{-3} +21 z^5 a^{-5} +22 z^5 a^{-7} +4 z^5 a^{-9} -3 z^5 a^{-11} +z^4 a^{-4} +26 z^4 a^{-6} +39 z^4 a^{-8} +14 z^4 a^{-10} -3 z^3 a^{-3} -18 z^3 a^{-5} -11 z^3 a^{-7} +7 z^3 a^{-9} +3 z^3 a^{-11} +7 z^2 a^{-2} +5 z^2 a^{-4} -15 z^2 a^{-6} -17 z^2 a^{-8} -4 z^2 a^{-10} +2 z a^{-3} +5 z a^{-5} +3 z a^{-7} -z a^{-9} -z a^{-11} -3 a^{-2} -2 a^{-4} +2 a^{-6} +3 a^{-8} + a^{-10} }[/math]

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