K13a6

Dowker-Thistlethwaite code

4 8 10 14 2 18 6 20 24 12 26 16 22

Jones polynomial	Data:K13a6/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -2 t^4+12 t^3-36 t^2+70 t-87+70 t^{-1} -36 t^{-2} +12 t^{-3} -2 t^{-4} }[/math]
Conway polynomial	Data:K13a6/Conway Polynomial
Determinant	327
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+2 z^6 a^6+6 z^4 a^6+8 z^2 a^6+3 a^6-z^8 a^4-3 z^6 a^4-4 z^4 a^4-z^2 a^4+a^4-z^8 a^2-4 z^6 a^2-8 z^4 a^2-7 z^2 a^2-3 a^2+z^6+3 z^4+4 z^2+2 }[/math]
Kauffman polynomial	[math]\displaystyle{ a^6 z^{12}+a^4 z^{12}+5 a^7 z^{11}+10 a^5 z^{11}+5 a^3 z^{11}+9 a^8 z^{10}+24 a^6 z^{10}+25 a^4 z^{10}+10 a^2 z^{10}+8 a^9 z^9+13 a^7 z^9+15 a^5 z^9+22 a^3 z^9+12 a z^9+4 a^{10} z^8-14 a^8 z^8-52 a^6 z^8-41 a^4 z^8+2 a^2 z^8+9 z^8+a^{11} z^7-20 a^9 z^7-57 a^7 z^7-77 a^5 z^7-62 a^3 z^7-17 a z^7+4 z^7 a^{-1} -11 a^{10} z^6-a^8 z^6+29 a^6 z^6+2 a^4 z^6-35 a^2 z^6+z^6 a^{-2} -17 z^6-3 a^{11} z^5+17 a^9 z^5+59 a^7 z^5+75 a^5 z^5+51 a^3 z^5+8 a z^5-7 z^5 a^{-1} +10 a^{10} z^4+5 a^8 z^4-7 a^6 z^4+23 a^4 z^4+42 a^2 z^4-2 z^4 a^{-2} +15 z^4+3 a^{11} z^3-7 a^9 z^3-27 a^7 z^3-28 a^5 z^3-16 a^3 z^3-a z^3+4 z^3 a^{-1} -3 a^{10} z^2+2 a^8 z^2+5 a^6 z^2-11 a^4 z^2-20 a^2 z^2+z^2 a^{-2} -8 z^2-a^{11} z+2 a^9 z+5 a^7 z+4 a^5 z+3 a^3 z-z a^{-1} -2 a^8-3 a^6+a^4+3 a^2+2 }[/math]

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