K12a629

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^6-6 q^5+15 q^4-26 q^3+37 q^2-45 q+48-43 q^{-1} +35 q^{-2} -23 q^{-3} +12 q^{-4} -5 q^{-5} + q^{-6} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-8 t^3+31 t^2-66 t+85-66 t^{-1} +31 t^{-2} -8 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8+3 z^4+2 z^2+1 }[/math]
Determinant	297
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-2 a^2 z^6-2 z^6 a^{-2} +4 z^6+a^4 z^4-5 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +10 z^4+a^4 z^2-6 a^2 z^2-4 z^2 a^{-2} +11 z^2-2 a^2-2 a^{-2} +5 }[/math]
Kauffman polynomial	[math]\displaystyle{ 4 a z^{11}+4 z^{11} a^{-1} +11 a^2 z^{10}+14 z^{10} a^{-2} +25 z^{10}+14 a^3 z^9+28 a z^9+34 z^9 a^{-1} +20 z^9 a^{-3} +11 a^4 z^8+3 a^2 z^8-z^8 a^{-2} +15 z^8 a^{-4} -24 z^8+5 a^5 z^7-17 a^3 z^7-66 a z^7-82 z^7 a^{-1} -32 z^7 a^{-3} +6 z^7 a^{-5} +a^6 z^6-19 a^4 z^6-40 a^2 z^6-43 z^6 a^{-2} -24 z^6 a^{-4} +z^6 a^{-6} -38 z^6-8 a^5 z^5-2 a^3 z^5+34 a z^5+41 z^5 a^{-1} +7 z^5 a^{-3} -6 z^5 a^{-5} -a^6 z^4+12 a^4 z^4+41 a^2 z^4+37 z^4 a^{-2} +8 z^4 a^{-4} +57 z^4+4 a^5 z^3+9 a^3 z^3+8 a z^3+10 z^3 a^{-1} +7 z^3 a^{-3} -3 a^4 z^2-17 a^2 z^2-11 z^2 a^{-2} -25 z^2-3 a^3 z-7 a z-7 z a^{-1} -3 z a^{-3} +2 a^2+2 a^{-2} +5 }[/math]

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