K12a535

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^4+4 q^3-8 q^2+14 q-20+25 q^{-1} -27 q^{-2} +26 q^{-3} -21 q^{-4} +15 q^{-5} -9 q^{-6} +4 q^{-7} - q^{-8} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^4+7 t^3-21 t^2+37 t-43+37 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -z^8-z^6+z^4+1 }[/math]
Determinant	175
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ -a^2 z^8+2 a^4 z^6-5 a^2 z^6+2 z^6-a^6 z^4+7 a^4 z^4-11 a^2 z^4-z^4 a^{-2} +7 z^4-2 a^6 z^2+8 a^4 z^2-11 a^2 z^2-2 z^2 a^{-2} +7 z^2-a^6+3 a^4-3 a^2+2 }[/math]
Kauffman polynomial	[math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+8 a^2 z^{10}+4 z^{10}+8 a^5 z^9+15 a^3 z^9+13 a z^9+6 z^9 a^{-1} +10 a^6 z^8+11 a^4 z^8-5 a^2 z^8+4 z^8 a^{-2} -2 z^8+8 a^7 z^7-4 a^5 z^7-36 a^3 z^7-44 a z^7-19 z^7 a^{-1} +z^7 a^{-3} +4 a^8 z^6-15 a^6 z^6-41 a^4 z^6-31 a^2 z^6-14 z^6 a^{-2} -23 z^6+a^9 z^5-12 a^7 z^5-12 a^5 z^5+22 a^3 z^5+41 a z^5+17 z^5 a^{-1} -3 z^5 a^{-3} -5 a^8 z^4+10 a^6 z^4+43 a^4 z^4+46 a^2 z^4+14 z^4 a^{-2} +32 z^4-a^9 z^3+6 a^7 z^3+14 a^5 z^3+a^3 z^3-13 a z^3-5 z^3 a^{-1} +2 z^3 a^{-3} +a^8 z^2-5 a^6 z^2-18 a^4 z^2-22 a^2 z^2-4 z^2 a^{-2} -14 z^2-2 a^7 z-4 a^5 z-2 a^3 z+a^6+3 a^4+3 a^2+2 }[/math]

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