K12a256

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^9-4 q^8+10 q^7-18 q^6+26 q^5-33 q^4+35 q^3-32 q^2+27 q-18+10 q^{-1} -4 q^{-2} + q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ 3 t^3-20 t^2+52 t-69+52 t^{-1} -20 t^{-2} +3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 3 z^6-2 z^4-z^2+1 }[/math]
Determinant	219
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} -2 z^4 a^{-2} +5 z^4 a^{-4} -3 z^4 a^{-6} -2 z^4+a^2 z^2-6 z^2 a^{-2} +8 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} -3 a^{-2} +4 a^{-4} -3 a^{-6} + a^{-8} +2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +7 z^{10} a^{-2} +14 z^{10} a^{-4} +7 z^{10} a^{-6} +10 z^9 a^{-1} +20 z^9 a^{-3} +20 z^9 a^{-5} +10 z^9 a^{-7} -16 z^8 a^{-4} +8 z^8 a^{-8} +8 z^8+4 a z^7-18 z^7 a^{-1} -59 z^7 a^{-3} -59 z^7 a^{-5} -18 z^7 a^{-7} +4 z^7 a^{-9} +a^2 z^6-26 z^6 a^{-2} -19 z^6 a^{-4} -27 z^6 a^{-6} -16 z^6 a^{-8} +z^6 a^{-10} -16 z^6-8 a z^5+12 z^5 a^{-1} +64 z^5 a^{-3} +62 z^5 a^{-5} +10 z^5 a^{-7} -8 z^5 a^{-9} -2 a^2 z^4+35 z^4 a^{-2} +45 z^4 a^{-4} +35 z^4 a^{-6} +10 z^4 a^{-8} -2 z^4 a^{-10} +11 z^4+4 a z^3-8 z^3 a^{-1} -31 z^3 a^{-3} -27 z^3 a^{-5} -4 z^3 a^{-7} +4 z^3 a^{-9} +a^2 z^2-21 z^2 a^{-2} -25 z^2 a^{-4} -17 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} -6 z^2+2 z a^{-1} +6 z a^{-3} +6 z a^{-5} +z a^{-7} -z a^{-9} +3 a^{-2} +4 a^{-4} +3 a^{-6} + a^{-8} +2 }[/math]

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