K12n35

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^6-3 q^5+5 q^4-8 q^3+11 q^2-11 q+11-9 q^{-1} +6 q^{-2} -3 q^{-3} + q^{-4} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^3+6 t^2-16 t+23-16 t^{-1} +6 t^{-2} - t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -z^6-z^2+1 }[/math]
Determinant	69
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-2} -4 z^4 a^{-2} +z^4 a^{-4} +3 z^4-3 a^2 z^2-7 z^2 a^{-2} +2 z^2 a^{-4} +7 z^2+a^4-3 a^2-3 a^{-2} + a^{-4} +5 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-2} +z^{10}+2 a z^9+5 z^9 a^{-1} +3 z^9 a^{-3} +a^2 z^8+3 z^8 a^{-2} +4 z^8 a^{-4} -8 a z^7-18 z^7 a^{-1} -7 z^7 a^{-3} +3 z^7 a^{-5} -2 a^2 z^6-20 z^6 a^{-2} -13 z^6 a^{-4} +z^6 a^{-6} -8 z^6+3 a^3 z^5+20 a z^5+27 z^5 a^{-1} -10 z^5 a^{-5} +a^4 z^4+8 a^2 z^4+32 z^4 a^{-2} +11 z^4 a^{-4} -3 z^4 a^{-6} +25 z^4-5 a^3 z^3-17 a z^3-14 z^3 a^{-1} +5 z^3 a^{-3} +7 z^3 a^{-5} -2 a^4 z^2-10 a^2 z^2-19 z^2 a^{-2} -5 z^2 a^{-4} +z^2 a^{-6} -21 z^2+2 a^3 z+4 a z+2 z a^{-1} -z a^{-3} -z a^{-5} +a^4+3 a^2+3 a^{-2} + a^{-4} +5 }[/math]

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