K12n72

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-3 q^{11}+6 q^{10}-11 q^9+14 q^8-16 q^7+16 q^6-13 q^5+10 q^4-5 q^3+2 q^2 }[/math]
Alexander polynomial	[math]\displaystyle{ -t^3+9 t^2-23 t+31-23 t^{-1} +9 t^{-2} - t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -z^6+3 z^4+4 z^2+1 }[/math]
Determinant	97
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-6} +2 z^4 a^{-4} -2 z^4 a^{-6} +3 z^4 a^{-8} +4 z^2 a^{-4} -2 z^2 a^{-6} +5 z^2 a^{-8} -3 z^2 a^{-10} +2 a^{-4} - a^{-6} +2 a^{-8} -3 a^{-10} + a^{-12} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +3 z^9 a^{-7} +6 z^9 a^{-9} +3 z^9 a^{-11} +3 z^8 a^{-6} +6 z^8 a^{-8} +7 z^8 a^{-10} +4 z^8 a^{-12} +z^7 a^{-5} -4 z^7 a^{-7} -9 z^7 a^{-9} -z^7 a^{-11} +3 z^7 a^{-13} -4 z^6 a^{-6} -16 z^6 a^{-8} -22 z^6 a^{-10} -9 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} +9 z^5 a^{-7} +2 z^5 a^{-9} -13 z^5 a^{-11} -9 z^5 a^{-13} +3 z^4 a^{-4} +8 z^4 a^{-6} +20 z^4 a^{-8} +22 z^4 a^{-10} +4 z^4 a^{-12} -3 z^4 a^{-14} -4 z^3 a^{-5} -9 z^3 a^{-7} +3 z^3 a^{-9} +16 z^3 a^{-11} +8 z^3 a^{-13} -5 z^2 a^{-4} -7 z^2 a^{-6} -11 z^2 a^{-8} -12 z^2 a^{-10} -z^2 a^{-12} +2 z^2 a^{-14} +3 z a^{-7} -z a^{-9} -7 z a^{-11} -3 z a^{-13} +2 a^{-4} + a^{-6} +2 a^{-8} +3 a^{-10} + a^{-12} }[/math]

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