K12n357

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^7-4 q^6+9 q^5-13 q^4+16 q^3-17 q^2+15 q-12+8 q^{-1} -3 q^{-2} + q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ t^3-9 t^2+24 t-31+24 t^{-1} -9 t^{-2} + t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ z^6-3 z^4-3 z^2+1 }[/math]
Determinant	99
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-2} +z^4 a^{-2} -2 z^4 a^{-4} -2 z^4+a^2 z^2-2 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} -2 z^2+a^2-3 a^{-2} +2 a^{-4} +1 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +4 z^9 a^{-1} +6 z^9 a^{-3} +2 z^9 a^{-5} +9 z^8 a^{-2} +5 z^8 a^{-4} +z^8 a^{-6} +5 z^8+3 a z^7-4 z^7 a^{-1} -7 z^7 a^{-3} +a^2 z^6-26 z^6 a^{-2} -11 z^6 a^{-4} +3 z^6 a^{-6} -11 z^6-7 a z^5-5 z^5 a^{-1} -z^5 a^{-3} +z^5 a^{-5} +4 z^5 a^{-7} -3 a^2 z^4+24 z^4 a^{-2} +13 z^4 a^{-4} -z^4 a^{-6} +z^4 a^{-8} +6 z^4+4 a z^3+z^3 a^{-3} +2 z^3 a^{-5} -3 z^3 a^{-7} +3 a^2 z^2-15 z^2 a^{-2} -8 z^2 a^{-4} -z^2 a^{-8} -3 z^2+2 z a^{-1} +z a^{-3} -z a^{-5} -a^2+3 a^{-2} +2 a^{-4} +1 }[/math]

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