K12n652

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ 2 q^7-7 q^6+13 q^5-19 q^4+23 q^3-23 q^2+21 q-16+10 q^{-1} -4 q^{-2} + q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^4+5 t^3-15 t^2+30 t-37+30 t^{-1} -15 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -z^8-3 z^6-5 z^4-z^2+1 }[/math]
Determinant	139
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +z^6-10 z^4 a^{-2} +2 z^4 a^{-4} +3 z^4-8 z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} +4 z^2-2 a^{-2} + a^{-4} +2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +7 z^9 a^{-1} +12 z^9 a^{-3} +5 z^9 a^{-5} +16 z^8 a^{-2} +12 z^8 a^{-4} +4 z^8 a^{-6} +8 z^8+4 a z^7-7 z^7 a^{-1} -13 z^7 a^{-3} -z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-46 z^6 a^{-2} -26 z^6 a^{-4} +z^6 a^{-6} -18 z^6-8 a z^5-10 z^5 a^{-1} -10 z^5 a^{-3} -z^5 a^{-5} +7 z^5 a^{-7} -2 a^2 z^4+36 z^4 a^{-2} +16 z^4 a^{-4} -z^4 a^{-6} +3 z^4 a^{-8} +14 z^4+5 a z^3+9 z^3 a^{-1} +10 z^3 a^{-3} -z^3 a^{-5} -7 z^3 a^{-7} +a^2 z^2-14 z^2 a^{-2} -4 z^2 a^{-4} -2 z^2 a^{-8} -7 z^2-a z-2 z a^{-1} -z a^{-3} +z a^{-5} +z a^{-7} +2 a^{-2} + a^{-4} +2 }[/math]

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