K13a574

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a574/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-10 t^3+33 t^2-58 t+69-58 t^{-1} +33 t^{-2} -10 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13a574/Conway Polynomial
Determinant	273
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^{10}-a^{10}+3 z^4 a^8+6 z^2 a^8+2 a^8-3 z^6 a^6-8 z^4 a^6-5 z^2 a^6-a^6+z^8 a^4+3 z^6 a^4+3 z^4 a^4+2 z^2 a^4+a^4-2 z^6 a^2-6 z^4 a^2-5 z^2 a^2-2 a^2+z^4+3 z^2+2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^5 a^{13}-z^3 a^{13}+4 z^6 a^{12}-4 z^4 a^{12}+z^2 a^{12}+9 z^7 a^{11}-11 z^5 a^{11}+7 z^3 a^{11}-2 z a^{11}+14 z^8 a^{10}-20 z^6 a^{10}+15 z^4 a^{10}-5 z^2 a^{10}+a^{10}+15 z^9 a^9-17 z^7 a^9+9 z^3 a^9-3 z a^9+11 z^{10} a^8-35 z^6 a^8+36 z^4 a^8-14 z^2 a^8+2 a^8+5 z^{11} a^7+18 z^9 a^7-61 z^7 a^7+45 z^5 a^7-9 z^3 a^7-2 z a^7+z^{12} a^6+21 z^{10} a^6-50 z^8 a^6+22 z^6 a^6+5 z^4 a^6-6 z^2 a^6+a^6+9 z^{11} a^5-3 z^9 a^5-45 z^7 a^5+48 z^5 a^5-10 z^3 a^5-2 z a^5+z^{12} a^4+15 z^{10} a^4-53 z^8 a^4+50 z^6 a^4-16 z^4 a^4+z^2 a^4+a^4+4 z^{11} a^3-3 z^9 a^3-22 z^7 a^3+31 z^5 a^3-8 z^3 a^3+5 z^{10} a^2-16 z^8 a^2+12 z^6 a^2+5 z^4 a^2-8 z^2 a^2+2 a^2+3 z^9 a-12 z^7 a+16 z^5 a-8 z^3 a+z a+z^8-5 z^6+9 z^4-7 z^2+2 }[/math]

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