K12n307

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -2 q^3+5 q^2-8 q+11-12 q^{-1} +13 q^{-2} -10 q^{-3} +8 q^{-4} -5 q^{-5} +2 q^{-6} - q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ 6 t^2-19 t+27-19 t^{-1} +6 t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ 6 z^4+5 z^2+1 }[/math]
Determinant	77
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^6-a^6+z^4 a^4-a^4+3 z^4 a^2+6 z^2 a^2+4 a^2+2 z^4+2 z^2-2 z^2 a^{-2} - a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+5 a^3 z^9+3 a z^9+2 a^6 z^8+a^4 z^8+3 a^2 z^8+4 z^8+a^7 z^7-5 a^5 z^7-14 a^3 z^7-5 a z^7+3 z^7 a^{-1} -8 a^6 z^6-9 a^4 z^6-9 a^2 z^6+z^6 a^{-2} -7 z^6-5 a^7 z^5-a^5 z^5+14 a^3 z^5+8 a z^5-2 z^5 a^{-1} +9 a^6 z^4+4 a^4 z^4+4 z^4 a^{-2} +9 z^4+8 a^7 z^3+6 a^5 z^3-14 a^3 z^3-12 a z^3+3 z^3 a^{-1} +3 z^3 a^{-3} -3 a^6 z^2+3 a^4 z^2+6 a^2 z^2-4 z^2 a^{-2} -4 z^2-4 a^7 z-2 a^5 z+6 a^3 z+5 a z-z a^{-1} -2 z a^{-3} +a^6-a^4-4 a^2+ a^{-2} }[/math]

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