K12a970

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^3+3 q^2-5 q+9-12 q^{-1} +14 q^{-2} -15 q^{-3} +15 q^{-4} -12 q^{-5} +9 q^{-6} -6 q^{-7} +3 q^{-8} - q^{-9} }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^4-8 t^3+15 t^2-18 t+19-18 t^{-1} +15 t^{-2} -8 t^{-3} +2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^8+8 z^6+7 z^4+2 z^2+1 }[/math]
Determinant	105
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ a^4 z^8+a^2 z^8-a^6 z^6+5 a^4 z^6+5 a^2 z^6-z^6-4 a^6 z^4+8 a^4 z^4+7 a^2 z^4-4 z^4-4 a^6 z^2+7 a^4 z^2+2 a^2 z^2-3 z^2-2 a^6+4 a^4-2 a^2+1 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^3 a^{11}+3 z^4 a^{10}+6 z^5 a^9-4 z^3 a^9+z a^9+9 z^6 a^8-12 z^4 a^8+3 z^2 a^8+11 z^7 a^7-21 z^5 a^7+6 z^3 a^7-z a^7+12 z^8 a^6-33 z^6 a^6+23 z^4 a^6-10 z^2 a^6+2 a^6+10 z^9 a^5-31 z^7 a^5+20 z^5 a^5-z^3 a^5-z a^5+6 z^{10} a^4-16 z^8 a^4-7 z^6 a^4+32 z^4 a^4-18 z^2 a^4+4 a^4+2 z^{11} a^3+2 z^9 a^3-40 z^7 a^3+67 z^5 a^3-31 z^3 a^3+5 z a^3+9 z^{10} a^2-47 z^8 a^2+76 z^6 a^2-40 z^4 a^2+2 z^2 a^2+2 a^2+2 z^{11} a-7 z^9 a-4 z^7 a+32 z^5 a-28 z^3 a+6 z a+3 z^{10}-19 z^8+41 z^6-34 z^4+7 z^2+1+z^9 a^{-1} -6 z^7 a^{-1} +12 z^5 a^{-1} -9 z^3 a^{-1} +2 z a^{-1} }[/math]

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