K12n622

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^6+5 q^5-10 q^4+13 q^3-16 q^2+17 q-14+12 q^{-1} -7 q^{-2} +3 q^{-3} - q^{-4} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^4+6 t^3-14 t^2+19 t-19+19 t^{-1} -14 t^{-2} +6 t^{-3} - t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -z^8-2 z^6+2 z^4+z^2+1 }[/math]
Determinant	99
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-9 z^4 a^{-2} +4 z^4 a^{-4} +8 z^4-3 a^2 z^2-9 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +10 z^2-2 a^2-4 a^{-2} + a^{-4} +6 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+4 a z^9+10 z^9 a^{-1} +6 z^9 a^{-3} +3 a^2 z^8+6 z^8 a^{-2} +6 z^8 a^{-4} +3 z^8+a^3 z^7-11 a z^7-28 z^7 a^{-1} -14 z^7 a^{-3} +2 z^7 a^{-5} -11 a^2 z^6-29 z^6 a^{-2} -13 z^6 a^{-4} -27 z^6-4 a^3 z^5+3 a z^5+17 z^5 a^{-1} +13 z^5 a^{-3} +3 z^5 a^{-5} +13 a^2 z^4+28 z^4 a^{-2} +15 z^4 a^{-4} +5 z^4 a^{-6} +31 z^4+5 a^3 z^3+7 a z^3-4 z^3 a^{-3} -z^3 a^{-5} +z^3 a^{-7} -7 a^2 z^2-13 z^2 a^{-2} -5 z^2 a^{-4} -z^2 a^{-6} -16 z^2-2 a^3 z-4 a z-4 z a^{-1} -3 z a^{-3} -z a^{-5} +2 a^2+4 a^{-2} + a^{-4} +6 }[/math]

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