K12a611

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-5 q^{11}+12 q^{10}-21 q^9+29 q^8-36 q^7+38 q^6-34 q^5+28 q^4-18 q^3+10 q^2-4 q+1 }[/math]
Alexander polynomial	[math]\displaystyle{ -4 t^3+24 t^2-55 t+71-55 t^{-1} +24 t^{-2} -4 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -4 z^6+5 z^2+1 }[/math]
Determinant	237
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -2 z^4 a^{-6} +z^4 a^{-10} +z^2 a^{-2} +2 z^2 a^{-4} +2 z^2 a^{-6} + a^{-4} +2 a^{-6} -2 a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 z^{11} a^{-7} +3 z^{11} a^{-9} +8 z^{10} a^{-6} +18 z^{10} a^{-8} +10 z^{10} a^{-10} +10 z^9 a^{-5} +16 z^9 a^{-7} +20 z^9 a^{-9} +14 z^9 a^{-11} +8 z^8 a^{-4} -5 z^8 a^{-6} -32 z^8 a^{-8} -8 z^8 a^{-10} +11 z^8 a^{-12} +4 z^7 a^{-3} -17 z^7 a^{-5} -48 z^7 a^{-7} -59 z^7 a^{-9} -27 z^7 a^{-11} +5 z^7 a^{-13} +z^6 a^{-2} -16 z^6 a^{-4} -11 z^6 a^{-6} +15 z^6 a^{-8} -13 z^6 a^{-10} -21 z^6 a^{-12} +z^6 a^{-14} -8 z^5 a^{-3} +10 z^5 a^{-5} +50 z^5 a^{-7} +54 z^5 a^{-9} +14 z^5 a^{-11} -8 z^5 a^{-13} -2 z^4 a^{-2} +11 z^4 a^{-4} +13 z^4 a^{-6} +3 z^4 a^{-8} +13 z^4 a^{-10} +9 z^4 a^{-12} -z^4 a^{-14} +4 z^3 a^{-3} -5 z^3 a^{-5} -24 z^3 a^{-7} -19 z^3 a^{-9} -2 z^3 a^{-11} +2 z^3 a^{-13} +z^2 a^{-2} -5 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} -3 z^2 a^{-10} -z^2 a^{-12} +z a^{-5} +6 z a^{-7} +4 z a^{-9} -z a^{-11} + a^{-4} -2 a^{-6} -2 a^{-8} }[/math]

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