K13n1373

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1373/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 4 t^3-18 t^2+39 t-49+39 t^{-1} -18 t^{-2} +4 t^{-3} }[/math]
Conway polynomial	Data:K13n1373/Conway Polynomial
Determinant	171
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ 3 z^6 a^{-2} +z^6-a^2 z^4+11 z^4 a^{-2} -4 z^4 a^{-4} -a^2 z^2+16 z^2 a^{-2} -9 z^2 a^{-4} +z^2 a^{-6} -4 z^2+9 a^{-2} -6 a^{-4} + a^{-6} -3 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +13 z^{10} a^{-2} +6 z^{10} a^{-4} +7 z^{10}+8 a z^9+14 z^9 a^{-1} +12 z^9 a^{-3} +6 z^9 a^{-5} +4 a^2 z^8-34 z^8 a^{-2} -13 z^8 a^{-4} +2 z^8 a^{-6} -15 z^8+a^3 z^7-26 a z^7-63 z^7 a^{-1} -53 z^7 a^{-3} -17 z^7 a^{-5} -12 a^2 z^6+32 z^6 a^{-2} +20 z^6 a^{-4} +z^6 a^{-6} +z^6-3 a^3 z^5+27 a z^5+80 z^5 a^{-1} +84 z^5 a^{-3} +39 z^5 a^{-5} +5 z^5 a^{-7} +10 a^2 z^4-28 z^4 a^{-2} -18 z^4 a^{-4} +3 z^4 a^{-6} +z^4 a^{-8} +2 z^4+2 a^3 z^3-15 a z^3-52 z^3 a^{-1} -65 z^3 a^{-3} -35 z^3 a^{-5} -5 z^3 a^{-7} -3 a^2 z^2+22 z^2 a^{-2} +14 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +5 z^2+5 a z+15 z a^{-1} +20 z a^{-3} +12 z a^{-5} +2 z a^{-7} -9 a^{-2} -6 a^{-4} - a^{-6} -3 }[/math]

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