K12n867

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ 2 q^{-2} -6 q^{-3} +12 q^{-4} -17 q^{-5} +22 q^{-6} -22 q^{-7} +20 q^{-8} -16 q^{-9} +10 q^{-10} -5 q^{-11} + q^{-12} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^3+14 t^2-31 t+39-31 t^{-1} +14 t^{-2} -2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^6+2 z^4+7 z^2+1 }[/math]
Determinant	133
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ z^4 a^{10}-a^{10}-z^6 a^8-z^4 a^8-a^8-z^6 a^6+4 z^2 a^6+3 a^6+2 z^4 a^4+3 z^2 a^4 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^6 a^{14}-z^4 a^{14}+5 z^7 a^{13}-10 z^5 a^{13}+4 z^3 a^{13}+z a^{13}+9 z^8 a^{12}-20 z^6 a^{12}+10 z^4 a^{12}-z^2 a^{12}+7 z^9 a^{11}-6 z^7 a^{11}-16 z^5 a^{11}+16 z^3 a^{11}-5 z a^{11}+2 z^{10} a^{10}+14 z^8 a^{10}-39 z^6 a^{10}+24 z^4 a^{10}-6 z^2 a^{10}+a^{10}+11 z^9 a^9-12 z^7 a^9-13 z^5 a^9+19 z^3 a^9-6 z a^9+2 z^{10} a^8+8 z^8 a^8-15 z^6 a^8+3 z^4 a^8+6 z^2 a^8-a^8+4 z^9 a^7-2 z^5 a^7+2 z^3 a^7+3 z^8 a^6+3 z^6 a^6-7 z^4 a^6+8 z^2 a^6-3 a^6+z^7 a^5+5 z^5 a^5-5 z^3 a^5+3 z^4 a^4-3 z^2 a^4 }[/math]

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