K12a1232

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^7-4 q^6+9 q^5-16 q^4+23 q^3-27 q^2+29 q-27+22 q^{-1} -15 q^{-2} +9 q^{-3} -4 q^{-4} + q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^4+10 t^3-24 t^2+37 t-41+37 t^{-1} -24 t^{-2} +10 t^{-3} -2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^8-6 z^6-4 z^4-z^2+1 }[/math]
Determinant	187
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-4 z^6 a^{-2} +z^6 a^{-4} -4 z^6+3 a^2 z^4-5 z^4 a^{-2} +3 z^4 a^{-4} -5 z^4+2 a^2 z^2-2 z^2 a^{-2} +2 z^2 a^{-4} -3 z^2+a^2+ a^{-2} -1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +6 a^2 z^{10}+10 z^{10} a^{-2} +16 z^{10}+4 a^3 z^9+2 a z^9+15 z^9 a^{-1} +17 z^9 a^{-3} +a^4 z^8-23 a^2 z^8-9 z^8 a^{-2} +19 z^8 a^{-4} -52 z^8-17 a^3 z^7-41 a z^7-72 z^7 a^{-1} -33 z^7 a^{-3} +15 z^7 a^{-5} -4 a^4 z^6+25 a^2 z^6-30 z^6 a^{-2} -35 z^6 a^{-4} +9 z^6 a^{-6} +43 z^6+23 a^3 z^5+64 a z^5+78 z^5 a^{-1} +14 z^5 a^{-3} -19 z^5 a^{-5} +4 z^5 a^{-7} +5 a^4 z^4-6 a^2 z^4+32 z^4 a^{-2} +20 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} -6 z^4-11 a^3 z^3-32 a z^3-33 z^3 a^{-1} -4 z^3 a^{-3} +7 z^3 a^{-5} -z^3 a^{-7} -2 a^4 z^2-7 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} +2 a^3 z+5 a z+5 z a^{-1} +2 z a^{-3} -a^2- a^{-2} -1 }[/math]

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