K12n860

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -2 q^2+7 q-12+19 q^{-1} -23 q^{-2} +24 q^{-3} -22 q^{-4} +17 q^{-5} -11 q^{-6} +5 q^{-7} - q^{-8} }[/math]
Alexander polynomial	[math]\displaystyle{ 3 t^3-15 t^2+33 t-41+33 t^{-1} -15 t^{-2} +3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 3 z^6+3 z^4+1 }[/math]
Determinant	143
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^4 a^6+a^6+z^6 a^4-4 z^2 a^4-3 a^4+2 z^6 a^2+6 z^4 a^2+7 z^2 a^2+3 a^2-2 z^4-3 z^2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+8 a^5 z^9+11 a^3 z^9+3 a z^9+13 a^6 z^8+17 a^4 z^8+5 a^2 z^8+z^8+11 a^7 z^7+a^5 z^7-10 a^3 z^7+5 a^8 z^6-18 a^6 z^6-34 a^4 z^6-5 a^2 z^6+6 z^6+a^9 z^5-15 a^7 z^5-21 a^5 z^5-12 a^3 z^5-4 a z^5+3 z^5 a^{-1} -4 a^8 z^4+4 a^6 z^4+10 a^4 z^4-12 a^2 z^4-14 z^4+4 a^7 z^3+13 a^5 z^3+16 a^3 z^3+3 a z^3-4 z^3 a^{-1} +a^6 z^2+8 a^4 z^2+14 a^2 z^2+7 z^2-2 a^5 z-4 a^3 z-2 a z-a^6-3 a^4-3 a^2 }[/math]

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