K12a441

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^{10}+4 q^9-9 q^8+16 q^7-24 q^6+29 q^5-31 q^4+30 q^3-24 q^2+17 q-9+4 q^{-1} - q^{-2} }[/math]
Alexander polynomial	[math]\displaystyle{ 4 t^3-20 t^2+46 t-59+46 t^{-1} -20 t^{-2} +4 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 4 z^6+4 z^4+2 z^2+1 }[/math]
Determinant	199
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^6 a^{-6} +z^4 a^{-2} +4 z^4 a^{-4} +z^4 a^{-6} -z^4 a^{-8} -z^4+z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-8} -z^2+ a^{-2} + a^{-4} - a^{-6} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +6 z^{10} a^{-4} +12 z^{10} a^{-6} +6 z^{10} a^{-8} +10 z^9 a^{-3} +14 z^9 a^{-5} +11 z^9 a^{-7} +7 z^9 a^{-9} +11 z^8 a^{-2} +7 z^8 a^{-4} -19 z^8 a^{-6} -11 z^8 a^{-8} +4 z^8 a^{-10} +8 z^7 a^{-1} -6 z^7 a^{-3} -30 z^7 a^{-5} -39 z^7 a^{-7} -22 z^7 a^{-9} +z^7 a^{-11} -14 z^6 a^{-2} -30 z^6 a^{-4} -z^6 a^{-8} -13 z^6 a^{-10} +4 z^6+a z^5-10 z^5 a^{-1} -11 z^5 a^{-3} +9 z^5 a^{-5} +34 z^5 a^{-7} +22 z^5 a^{-9} -3 z^5 a^{-11} +7 z^4 a^{-2} +23 z^4 a^{-4} +5 z^4 a^{-6} +6 z^4 a^{-8} +12 z^4 a^{-10} -5 z^4-a z^3+5 z^3 a^{-1} +13 z^3 a^{-3} +5 z^3 a^{-5} -12 z^3 a^{-7} -8 z^3 a^{-9} +2 z^3 a^{-11} -6 z^2 a^{-4} -3 z^2 a^{-6} -z^2 a^{-8} -2 z^2 a^{-10} +2 z^2-z a^{-1} -2 z a^{-3} -2 z a^{-5} +z a^{-9} - a^{-2} + a^{-4} + a^{-6} }[/math]

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