K12n473

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^{14}+q^{13}-q^{12}+q^{11}-q^{10}+q^8-q^7+2 q^6-q^5+q^4 }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^4-3 t^3+t^2+3 t-5+3 t^{-1} + t^{-2} -3 t^{-3} +2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^8+13 z^6+23 z^4+12 z^2+1 }[/math]
Determinant	1
Signature	8
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-8} +z^8 a^{-10} +7 z^6 a^{-8} +7 z^6 a^{-10} -z^6 a^{-12} +15 z^4 a^{-8} +15 z^4 a^{-10} -7 z^4 a^{-12} +11 z^2 a^{-8} +12 z^2 a^{-10} -12 z^2 a^{-12} +z^2 a^{-14} +2 a^{-8} +3 a^{-10} -5 a^{-12} + a^{-14} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^9 a^{-9} +2 z^9 a^{-11} +z^9 a^{-13} +z^8 a^{-8} -7 z^8 a^{-10} -8 z^8 a^{-12} -6 z^7 a^{-9} -14 z^7 a^{-11} -8 z^7 a^{-13} -7 z^6 a^{-8} +16 z^6 a^{-10} +22 z^6 a^{-12} +z^6 a^{-16} +9 z^5 a^{-9} +29 z^5 a^{-11} +20 z^5 a^{-13} +z^5 a^{-15} +z^5 a^{-17} +15 z^4 a^{-8} -18 z^4 a^{-10} -30 z^4 a^{-12} -z^4 a^{-14} -4 z^4 a^{-16} -2 z^3 a^{-9} -22 z^3 a^{-11} -20 z^3 a^{-13} -4 z^3 a^{-15} -4 z^3 a^{-17} -11 z^2 a^{-8} +12 z^2 a^{-10} +21 z^2 a^{-12} +z^2 a^{-14} +3 z^2 a^{-16} -z a^{-9} +6 z a^{-11} +6 z a^{-13} +2 z a^{-15} +3 z a^{-17} +2 a^{-8} -3 a^{-10} -5 a^{-12} - a^{-14} }[/math]

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