K12a260

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^7-4 q^6+9 q^5-15 q^4+22 q^3-27 q^2+28 q-26+22 q^{-1} -15 q^{-2} +9 q^{-3} -4 q^{-4} + q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^4+7 t^3-22 t^2+39 t-45+39 t^{-1} -22 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -z^8-z^6-2 z^2+1 }[/math]
Determinant	183
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-3 a^2 z^4-11 z^4 a^{-2} +3 z^4 a^{-4} +11 z^4+a^4 z^2-7 a^2 z^2-12 z^2 a^{-2} +3 z^2 a^{-4} +13 z^2+a^4-3 a^2-5 a^{-2} +2 a^{-4} +6 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+8 z^{10} a^{-2} +13 z^{10}+4 a^3 z^9+9 a z^9+20 z^9 a^{-1} +15 z^9 a^{-3} +a^4 z^8-15 a^2 z^8+3 z^8 a^{-2} +17 z^8 a^{-4} -30 z^8-17 a^3 z^7-56 a z^7-77 z^7 a^{-1} -24 z^7 a^{-3} +14 z^7 a^{-5} -4 a^4 z^6+3 a^2 z^6-59 z^6 a^{-2} -28 z^6 a^{-4} +9 z^6 a^{-6} -15 z^6+24 a^3 z^5+72 a z^5+67 z^5 a^{-1} -2 z^5 a^{-3} -17 z^5 a^{-5} +4 z^5 a^{-7} +6 a^4 z^4+22 a^2 z^4+67 z^4 a^{-2} +14 z^4 a^{-4} -7 z^4 a^{-6} +z^4 a^{-8} +61 z^4-12 a^3 z^3-26 a z^3-12 z^3 a^{-1} +10 z^3 a^{-3} +7 z^3 a^{-5} -z^3 a^{-7} -4 a^4 z^2-18 a^2 z^2-29 z^2 a^{-2} -7 z^2 a^{-4} +2 z^2 a^{-6} -34 z^2+a^3 z+a z-z a^{-1} -3 z a^{-3} -2 z a^{-5} +a^4+3 a^2+5 a^{-2} +2 a^{-4} +6 }[/math]

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