K12a886

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^3-4 q^2+10 q-16+25 q^{-1} -31 q^{-2} +32 q^{-3} -31 q^{-4} +25 q^{-5} -17 q^{-6} +10 q^{-7} -4 q^{-8} + q^{-9} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^4+7 t^3-24 t^2+45 t-53+45 t^{-1} -24 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -z^8-z^6-2 z^4-4 z^2+1 }[/math]
Determinant	207
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-6 z^2 a^6-2 a^6+3 z^6 a^4+10 z^4 a^4+11 z^2 a^4+4 a^4-z^8 a^2-5 z^6 a^2-12 z^4 a^2-14 z^2 a^2-6 a^2+z^6+3 z^4+4 z^2+4 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+6 a^6 z^{10}+13 a^4 z^{10}+7 a^2 z^{10}+9 a^7 z^9+15 a^5 z^9+17 a^3 z^9+11 a z^9+8 a^8 z^8+a^6 z^8-19 a^4 z^8-3 a^2 z^8+9 z^8+4 a^9 z^7-15 a^7 z^7-41 a^5 z^7-54 a^3 z^7-28 a z^7+4 z^7 a^{-1} +a^{10} z^6-17 a^8 z^6-20 a^6 z^6-5 a^4 z^6-28 a^2 z^6+z^6 a^{-2} -24 z^6-8 a^9 z^5+8 a^7 z^5+37 a^5 z^5+55 a^3 z^5+26 a z^5-8 z^5 a^{-1} -2 a^{10} z^4+12 a^8 z^4+17 a^6 z^4+27 a^4 z^4+48 a^2 z^4-2 z^4 a^{-2} +22 z^4+4 a^9 z^3-7 a^7 z^3-12 a^5 z^3-10 a^3 z^3-8 a z^3+z^3 a^{-1} +a^{10} z^2-5 a^8 z^2-8 a^6 z^2-15 a^4 z^2-25 a^2 z^2-12 z^2+2 a^7 z-2 a^5 z-6 a^3 z-2 a z+a^8+2 a^6+4 a^4+6 a^2+4 }[/math]

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