K13a3909

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3909/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^5-7 t^4+25 t^3-57 t^2+90 t-103+90 t^{-1} -57 t^{-2} +25 t^{-3} -7 t^{-4} + t^{-5} }[/math]
Conway polynomial	Data:K13a3909/Conway Polynomial
Determinant	463
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^{10} a^{-2} +6 z^8 a^{-2} -z^8 a^{-4} -2 z^8+a^2 z^6+14 z^6 a^{-2} -4 z^6 a^{-4} -7 z^6+a^2 z^4+12 z^4 a^{-2} -5 z^4 a^{-4} -5 z^4-2 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +4 z^2-a^2-3 a^{-2} + a^{-4} +4 }[/math]
Kauffman polynomial	[math]\displaystyle{ 8 z^{12} a^{-2} +8 z^{12}+20 a z^{11}+45 z^{11} a^{-1} +25 z^{11} a^{-3} +18 a^2 z^{10}+43 z^{10} a^{-2} +36 z^{10} a^{-4} +25 z^{10}+7 a^3 z^9-50 a z^9-115 z^9 a^{-1} -24 z^9 a^{-3} +34 z^9 a^{-5} +a^4 z^8-54 a^2 z^8-176 z^8 a^{-2} -66 z^8 a^{-4} +24 z^8 a^{-6} -141 z^8-16 a^3 z^7+17 a z^7+49 z^7 a^{-1} -53 z^7 a^{-3} -56 z^7 a^{-5} +13 z^7 a^{-7} -a^4 z^6+43 a^2 z^6+169 z^6 a^{-2} +32 z^6 a^{-4} -29 z^6 a^{-6} +5 z^6 a^{-8} +147 z^6+7 a^3 z^5+19 a z^5+39 z^5 a^{-1} +68 z^5 a^{-3} +30 z^5 a^{-5} -10 z^5 a^{-7} +z^5 a^{-9} -a^2 z^4-45 z^4 a^{-2} -2 z^4 a^{-4} +11 z^4 a^{-6} -2 z^4 a^{-8} -31 z^4+3 a^3 z^3-6 a z^3-23 z^3 a^{-1} -21 z^3 a^{-3} -5 z^3 a^{-5} +2 z^3 a^{-7} -7 a^2 z^2-7 z^2 a^{-2} -2 z^2 a^{-4} -z^2 a^{-6} -13 z^2-a^3 z-a z+z a^{-1} +z a^{-3} +a^2+3 a^{-2} + a^{-4} +4 }[/math]

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