K13a1051

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1051/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -5 t^3+34 t^2-84 t+111-84 t^{-1} +34 t^{-2} -5 t^{-3} }[/math]
Conway polynomial	Data:K13a1051/Conway Polynomial
Determinant	357
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^{12}+2 z^4 a^{10}-z^2 a^{10}-3 a^{10}-z^6 a^8+4 z^4 a^8+9 z^2 a^8+5 a^8-3 z^6 a^6-5 z^4 a^6-5 z^2 a^6-3 a^6-z^6 a^4+2 z^4 a^4+5 z^2 a^4+2 a^4+z^4 a^2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^7 a^{15}-3 z^5 a^{15}+3 z^3 a^{15}-z a^{15}+4 z^8 a^{14}-11 z^6 a^{14}+10 z^4 a^{14}-3 z^2 a^{14}+8 z^9 a^{13}-20 z^7 a^{13}+17 z^5 a^{13}-7 z^3 a^{13}+2 z a^{13}+9 z^{10} a^{12}-13 z^8 a^{12}-4 z^6 a^{12}+9 z^4 a^{12}-2 z^2 a^{12}+6 z^{11} a^{11}+8 z^9 a^{11}-44 z^7 a^{11}+42 z^5 a^{11}-16 z^3 a^{11}+z a^{11}+2 z^{12} a^{10}+21 z^{10} a^{10}-47 z^8 a^{10}+19 z^6 a^{10}+14 z^4 a^{10}-15 z^2 a^{10}+3 a^{10}+15 z^{11} a^9-4 z^9 a^9-51 z^7 a^9+60 z^5 a^9-19 z^3 a^9+2 z^{12} a^8+30 z^{10} a^8-67 z^8 a^8+31 z^6 a^8+25 z^4 a^8-23 z^2 a^8+5 a^8+9 z^{11} a^7+16 z^9 a^7-74 z^7 a^7+76 z^5 a^7-25 z^3 a^7+3 z a^7+18 z^{10} a^6-24 z^8 a^6-5 z^6 a^6+24 z^4 a^6-14 z^2 a^6+3 a^6+20 z^9 a^5-41 z^7 a^5+32 z^5 a^5-12 z^3 a^5+z a^5+13 z^8 a^4-23 z^6 a^4+13 z^4 a^4-7 z^2 a^4+2 a^4+5 z^7 a^3-6 z^5 a^3+z^6 a^2-z^4 a^2 }[/math]

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