K13n4435

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n4435/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 2 t^4-11 t^3+32 t^2-55 t+65-55 t^{-1} +32 t^{-2} -11 t^{-3} +2 t^{-4} }[/math]
Conway polynomial	Data:K13n4435/Conway Polynomial
Determinant	265
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ 2 z^8 a^{-6} -2 z^6 a^{-4} +10 z^6 a^{-6} -3 z^6 a^{-8} -5 z^4 a^{-4} +20 z^4 a^{-6} -10 z^4 a^{-8} +z^4 a^{-10} -3 z^2 a^{-4} +19 z^2 a^{-6} -12 z^2 a^{-8} +2 z^2 a^{-10} - a^{-4} +7 a^{-6} -6 a^{-8} + a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ 4 z^{11} a^{-7} +4 z^{11} a^{-9} +9 z^{10} a^{-6} +22 z^{10} a^{-8} +13 z^{10} a^{-10} +6 z^9 a^{-5} +14 z^9 a^{-7} +25 z^9 a^{-9} +17 z^9 a^{-11} +z^8 a^{-4} -13 z^8 a^{-6} -34 z^8 a^{-8} -8 z^8 a^{-10} +12 z^8 a^{-12} -2 z^7 a^{-5} -31 z^7 a^{-7} -63 z^7 a^{-9} -29 z^7 a^{-11} +5 z^7 a^{-13} +10 z^6 a^{-4} +30 z^6 a^{-6} +24 z^6 a^{-8} -17 z^6 a^{-10} -20 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-3} +5 z^5 a^{-5} +25 z^5 a^{-7} +45 z^5 a^{-9} +15 z^5 a^{-11} -7 z^5 a^{-13} -14 z^4 a^{-4} -46 z^4 a^{-6} -35 z^4 a^{-8} +9 z^4 a^{-10} +11 z^4 a^{-12} -z^4 a^{-14} -3 z^3 a^{-3} -10 z^3 a^{-5} -23 z^3 a^{-7} -21 z^3 a^{-9} -2 z^3 a^{-11} +3 z^3 a^{-13} +6 z^2 a^{-4} +29 z^2 a^{-6} +26 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} +z a^{-3} +4 z a^{-5} +10 z a^{-7} +6 z a^{-9} -z a^{-11} - a^{-4} -7 a^{-6} -6 a^{-8} - a^{-10} }[/math]

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