K12a361

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^6-6 q^5+16 q^4-28 q^3+41 q^2-50 q+53-49 q^{-1} +39 q^{-2} -26 q^{-3} +14 q^{-4} -5 q^{-5} + q^{-6} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-9 t^3+34 t^2-73 t+95-73 t^{-1} +34 t^{-2} -9 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8-z^6-2 z^2+1 }[/math]
Determinant	329
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-2 a^2 z^6-2 z^6 a^{-2} +3 z^6+a^4 z^4-4 a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} +5 z^4+a^4 z^2-4 a^2 z^2-z^2 a^{-2} +2 z^2+a^4-a^2+ a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ 5 a z^{11}+5 z^{11} a^{-1} +15 a^2 z^{10}+17 z^{10} a^{-2} +32 z^{10}+19 a^3 z^9+38 a z^9+42 z^9 a^{-1} +23 z^9 a^{-3} +13 a^4 z^8-3 a^2 z^8-4 z^8 a^{-2} +16 z^8 a^{-4} -36 z^8+5 a^5 z^7-32 a^3 z^7-100 a z^7-107 z^7 a^{-1} -38 z^7 a^{-3} +6 z^7 a^{-5} +a^6 z^6-22 a^4 z^6-38 a^2 z^6-41 z^6 a^{-2} -24 z^6 a^{-4} +z^6 a^{-6} -31 z^6-6 a^5 z^5+22 a^3 z^5+76 a z^5+70 z^5 a^{-1} +17 z^5 a^{-3} -5 z^5 a^{-5} -a^6 z^4+16 a^4 z^4+39 a^2 z^4+29 z^4 a^{-2} +9 z^4 a^{-4} +42 z^4+2 a^5 z^3-9 a^3 z^3-22 a z^3-13 z^3 a^{-1} -2 z^3 a^{-3} -6 a^4 z^2-13 a^2 z^2-2 z^2 a^{-2} -9 z^2+2 a^3 z+2 a z+a^4+a^2- a^{-2} }[/math]

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