K12n110

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{14}-2 q^{13}+3 q^{12}-5 q^{11}+4 q^{10}-4 q^9+3 q^8-q^7+q^6+q^5-q^4+q^3 }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^3-t^2-7 t+13-7 t^{-1} - t^{-2} +2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^6+11 z^4+7 z^2+1 }[/math]
Determinant	21
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-6} +z^6 a^{-8} +5 z^4 a^{-6} +6 z^4 a^{-8} +5 z^2 a^{-6} +8 z^2 a^{-8} -4 z^2 a^{-10} -2 z^2 a^{-12} + a^{-6} +4 a^{-8} -4 a^{-10} - a^{-12} + a^{-14} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-12} +z^{10} a^{-14} +2 z^9 a^{-11} +4 z^9 a^{-13} +2 z^9 a^{-15} +z^8 a^{-8} +2 z^8 a^{-10} -3 z^8 a^{-12} -3 z^8 a^{-14} +z^8 a^{-16} +z^7 a^{-7} +z^7 a^{-9} -11 z^7 a^{-11} -23 z^7 a^{-13} -12 z^7 a^{-15} +z^6 a^{-6} -7 z^6 a^{-8} -14 z^6 a^{-10} -5 z^6 a^{-12} -5 z^6 a^{-14} -6 z^6 a^{-16} -5 z^5 a^{-7} -9 z^5 a^{-9} +14 z^5 a^{-11} +41 z^5 a^{-13} +23 z^5 a^{-15} -5 z^4 a^{-6} +13 z^4 a^{-8} +25 z^4 a^{-10} +12 z^4 a^{-12} +16 z^4 a^{-14} +11 z^4 a^{-16} +4 z^3 a^{-7} +14 z^3 a^{-9} -6 z^3 a^{-11} -34 z^3 a^{-13} -18 z^3 a^{-15} +5 z^2 a^{-6} -11 z^2 a^{-8} -18 z^2 a^{-10} -4 z^2 a^{-12} -8 z^2 a^{-14} -6 z^2 a^{-16} -6 z a^{-9} +z a^{-11} +13 z a^{-13} +6 z a^{-15} - a^{-6} +4 a^{-8} +4 a^{-10} - a^{-12} - a^{-14} }[/math]

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