K12a693

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^2-2 q+6-11 q^{-1} +16 q^{-2} -20 q^{-3} +22 q^{-4} -21 q^{-5} +18 q^{-6} -13 q^{-7} +7 q^{-8} -3 q^{-9} + q^{-10} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-7 t^3+18 t^2-28 t+33-28 t^{-1} +18 t^{-2} -7 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8+z^6-4 z^4-3 z^2+1 }[/math]
Determinant	141
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ z^4 a^8+3 z^2 a^8+2 a^8-2 z^6 a^6-8 z^4 a^6-11 z^2 a^6-6 a^6+z^8 a^4+5 z^6 a^4+11 z^4 a^4+15 z^2 a^4+9 a^4-2 z^6 a^2-9 z^4 a^2-14 z^2 a^2-8 a^2+z^4+4 z^2+4 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^4 a^{12}-z^2 a^{12}+3 z^5 a^{11}-2 z^3 a^{11}+6 z^6 a^{10}-5 z^4 a^{10}+2 z^2 a^{10}+10 z^7 a^9-16 z^5 a^9+14 z^3 a^9-4 z a^9+12 z^8 a^8-24 z^6 a^8+21 z^4 a^8-9 z^2 a^8+2 a^8+9 z^9 a^7-10 z^7 a^7-16 z^5 a^7+24 z^3 a^7-8 z a^7+4 z^{10} a^6+9 z^8 a^6-54 z^6 a^6+62 z^4 a^6-31 z^2 a^6+6 a^6+z^{11} a^5+11 z^9 a^5-33 z^7 a^5+9 z^5 a^5+16 z^3 a^5-7 z a^5+6 z^{10} a^4-7 z^8 a^4-33 z^6 a^4+62 z^4 a^4-39 z^2 a^4+9 a^4+z^{11} a^3+4 z^9 a^3-22 z^7 a^3+19 z^5 a^3+2 z^3 a^3-3 z a^3+2 z^{10} a^2-3 z^8 a^2-15 z^6 a^2+40 z^4 a^2-32 z^2 a^2+8 a^2+2 z^9 a-9 z^7 a+13 z^5 a-6 z^3 a+z^8-6 z^6+13 z^4-12 z^2+4 }[/math]

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