K12n161

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^9-3 q^8+6 q^7-10 q^6+13 q^5-15 q^4+15 q^3-12 q^2+9 q-5+2 q^{-1} }[/math]
Alexander polynomial	[math]\displaystyle{ t^3-8 t^2+22 t-29+22 t^{-1} -8 t^{-2} + t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ z^6-2 z^4-z^2+1 }[/math]
Determinant	91
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-4} -3 z^4 a^{-2} +3 z^4 a^{-4} -2 z^4 a^{-6} -6 z^2 a^{-2} +6 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} +2 z^2-3 a^{-2} +4 a^{-4} -3 a^{-6} + a^{-8} +2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +3 z^9 a^{-3} +6 z^9 a^{-5} +3 z^9 a^{-7} +3 z^8 a^{-2} +5 z^8 a^{-4} +6 z^8 a^{-6} +4 z^8 a^{-8} +z^7 a^{-1} -6 z^7 a^{-3} -13 z^7 a^{-5} -3 z^7 a^{-7} +3 z^7 a^{-9} -6 z^6 a^{-2} -17 z^6 a^{-4} -22 z^6 a^{-6} -10 z^6 a^{-8} +z^6 a^{-10} +3 z^5 a^{-1} +12 z^5 a^{-3} +11 z^5 a^{-5} -7 z^5 a^{-7} -9 z^5 a^{-9} +13 z^4 a^{-2} +26 z^4 a^{-4} +25 z^4 a^{-6} +6 z^4 a^{-8} -3 z^4 a^{-10} +3 z^4-6 z^3 a^{-1} -9 z^3 a^{-3} -2 z^3 a^{-5} +8 z^3 a^{-7} +7 z^3 a^{-9} -13 z^2 a^{-2} -16 z^2 a^{-4} -13 z^2 a^{-6} -3 z^2 a^{-8} +2 z^2 a^{-10} -5 z^2+z a^{-1} +2 z a^{-3} -3 z a^{-7} -2 z a^{-9} +3 a^{-2} +4 a^{-4} +3 a^{-6} + a^{-8} +2 }[/math]

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