K12n55

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^9-4 q^8+8 q^7-13 q^6+17 q^5-18 q^4+18 q^3-15 q^2+10 q-5+2 q^{-1} }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^3-11 t^2+26 t-33+26 t^{-1} -11 t^{-2} +2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^6+z^4+1 }[/math]
Determinant	111
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ 2 z^6 a^{-4} -4 z^4 a^{-2} +8 z^4 a^{-4} -3 z^4 a^{-6} -10 z^2 a^{-2} +14 z^2 a^{-4} -7 z^2 a^{-6} +z^2 a^{-8} +2 z^2-7 a^{-2} +9 a^{-4} -5 a^{-6} + a^{-8} +3 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +4 z^9 a^{-3} +8 z^9 a^{-5} +4 z^9 a^{-7} +4 z^8 a^{-2} +12 z^8 a^{-4} +14 z^8 a^{-6} +6 z^8 a^{-8} +z^7 a^{-1} -7 z^7 a^{-3} -10 z^7 a^{-5} +2 z^7 a^{-7} +4 z^7 a^{-9} -11 z^6 a^{-2} -42 z^6 a^{-4} -45 z^6 a^{-6} -13 z^6 a^{-8} +z^6 a^{-10} +3 z^5 a^{-1} +10 z^5 a^{-3} -10 z^5 a^{-5} -27 z^5 a^{-7} -10 z^5 a^{-9} +27 z^4 a^{-2} +63 z^4 a^{-4} +47 z^4 a^{-6} +6 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4-5 z^3 a^{-1} -2 z^3 a^{-3} +21 z^3 a^{-5} +25 z^3 a^{-7} +7 z^3 a^{-9} -26 z^2 a^{-2} -40 z^2 a^{-4} -24 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} -6 z^2+z a^{-1} -z a^{-3} -7 z a^{-5} -7 z a^{-7} -2 z a^{-9} +7 a^{-2} +9 a^{-4} +5 a^{-6} + a^{-8} +3 }[/math]

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