K12a1206

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-4 q^{11}+10 q^{10}-19 q^9+28 q^8-36 q^7+39 q^6-37 q^5+31 q^4-21 q^3+13 q^2-5 q+1 }[/math]
Alexander polynomial	[math]\displaystyle{ -4 t^3+24 t^2-57 t+75-57 t^{-1} +24 t^{-2} -4 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -4 z^6+3 z^2+1 }[/math]
Determinant	245
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} +z^4 a^{-4} -2 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +4 z^2 a^{-4} +z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ 4 z^{11} a^{-7} +4 z^{11} a^{-9} +12 z^{10} a^{-6} +22 z^{10} a^{-8} +10 z^{10} a^{-10} +16 z^9 a^{-5} +18 z^9 a^{-7} +13 z^9 a^{-9} +11 z^9 a^{-11} +12 z^8 a^{-4} -16 z^8 a^{-6} -53 z^8 a^{-8} -17 z^8 a^{-10} +8 z^8 a^{-12} +5 z^7 a^{-3} -35 z^7 a^{-5} -64 z^7 a^{-7} -50 z^7 a^{-9} -22 z^7 a^{-11} +4 z^7 a^{-13} +z^6 a^{-2} -24 z^6 a^{-4} -2 z^6 a^{-6} +56 z^6 a^{-8} +17 z^6 a^{-10} -15 z^6 a^{-12} +z^6 a^{-14} -7 z^5 a^{-3} +25 z^5 a^{-5} +71 z^5 a^{-7} +67 z^5 a^{-9} +20 z^5 a^{-11} -8 z^5 a^{-13} -z^4 a^{-2} +12 z^4 a^{-4} +5 z^4 a^{-6} -31 z^4 a^{-8} -14 z^4 a^{-10} +7 z^4 a^{-12} -2 z^4 a^{-14} -8 z^3 a^{-5} -33 z^3 a^{-7} -43 z^3 a^{-9} -14 z^3 a^{-11} +4 z^3 a^{-13} -4 z^2 a^{-4} +3 z^2 a^{-6} +12 z^2 a^{-8} +4 z^2 a^{-10} +z^2 a^{-14} +7 z a^{-7} +11 z a^{-9} +4 z a^{-11} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math]

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