K13n5005

Dowker-Thistlethwaite code

6 14 20 22 26 -18 4 24 -12 -10 2 8 16

Jones polynomial	Data:K13n5005/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^4+8 t^3-26 t^2+49 t-59+49 t^{-1} -26 t^{-2} +8 t^{-3} - t^{-4} }[/math]
Conway polynomial	Data:K13n5005/Conway Polynomial
Determinant	227
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +3 z^6 a^{-4} +z^6-8 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4 a^{-6} +2 z^4-9 z^2 a^{-2} +12 z^2 a^{-4} -4 z^2 a^{-6} +2 z^2-4 a^{-2} +5 a^{-4} -2 a^{-6} +2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +9 z^{10} a^{-2} +13 z^{10} a^{-4} +4 z^{10} a^{-6} +15 z^9 a^{-1} +25 z^9 a^{-3} +13 z^9 a^{-5} +3 z^9 a^{-7} +4 z^8 a^{-2} -3 z^8 a^{-4} +6 z^8 a^{-6} +z^8 a^{-8} +12 z^8+5 a z^7-27 z^7 a^{-1} -58 z^7 a^{-3} -20 z^7 a^{-5} +6 z^7 a^{-7} +a^2 z^6-43 z^6 a^{-2} -43 z^6 a^{-4} -18 z^6 a^{-6} +6 z^6 a^{-8} -23 z^6-7 a z^5+13 z^5 a^{-1} +34 z^5 a^{-3} -4 z^5 a^{-5} -15 z^5 a^{-7} +3 z^5 a^{-9} -a^2 z^4+43 z^4 a^{-2} +56 z^4 a^{-4} +18 z^4 a^{-6} -10 z^4 a^{-8} +14 z^4+2 a z^3-4 z^3 a^{-1} -2 z^3 a^{-3} +20 z^3 a^{-5} +12 z^3 a^{-7} -4 z^3 a^{-9} -21 z^2 a^{-2} -27 z^2 a^{-4} -8 z^2 a^{-6} +3 z^2 a^{-8} -5 z^2-3 z a^{-3} -7 z a^{-5} -4 z a^{-7} +4 a^{-2} +5 a^{-4} +2 a^{-6} +2 }[/math]

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