K12a679

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{14}-3 q^{13}+4 q^{12}-7 q^{11}+9 q^{10}-10 q^9+12 q^8-11 q^7+9 q^6-7 q^5+5 q^4-2 q^3+q^2 }[/math]
Alexander polynomial	[math]\displaystyle{ 7 t^2-20 t+27-20 t^{-1} +7 t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ 7 z^4+8 z^2+1 }[/math]
Determinant	81
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ z^4 a^{-4} +2 z^4 a^{-6} +2 z^4 a^{-8} +2 z^4 a^{-10} +2 z^2 a^{-4} +3 z^2 a^{-6} +2 z^2 a^{-8} +4 z^2 a^{-10} -3 z^2 a^{-12} + a^{-4} +3 a^{-10} -4 a^{-12} + a^{-14} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +6 z^{10} a^{-12} +3 z^{10} a^{-14} +3 z^9 a^{-9} +2 z^9 a^{-11} +2 z^9 a^{-13} +3 z^9 a^{-15} +3 z^8 a^{-8} -12 z^8 a^{-10} -31 z^8 a^{-12} -15 z^8 a^{-14} +z^8 a^{-16} +3 z^7 a^{-7} -7 z^7 a^{-9} -25 z^7 a^{-11} -32 z^7 a^{-13} -17 z^7 a^{-15} +3 z^6 a^{-6} -4 z^6 a^{-8} +23 z^6 a^{-10} +56 z^6 a^{-12} +21 z^6 a^{-14} -5 z^6 a^{-16} +2 z^5 a^{-5} -2 z^5 a^{-7} +7 z^5 a^{-9} +50 z^5 a^{-11} +68 z^5 a^{-13} +29 z^5 a^{-15} +z^4 a^{-4} -3 z^4 a^{-6} +3 z^4 a^{-8} -29 z^4 a^{-10} -53 z^4 a^{-12} -11 z^4 a^{-14} +6 z^4 a^{-16} -2 z^3 a^{-5} -4 z^3 a^{-9} -41 z^3 a^{-11} -52 z^3 a^{-13} -17 z^3 a^{-15} -2 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} +17 z^2 a^{-10} +27 z^2 a^{-12} +5 z^2 a^{-14} -z^2 a^{-16} +10 z a^{-11} +12 z a^{-13} +2 z a^{-15} + a^{-4} -3 a^{-10} -4 a^{-12} - a^{-14} }[/math]

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