K13n1150

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Polynomial invariants

Jones polynomial Data:K13n1150/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-9 t^2+18 t-21+18 t^{-1} -9 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n1150/Conway Polynomial
Determinant 79
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+3 z^4 a^{-2} -2 z^4 a^{-4} +3 z^4-2 a^2 z^2+4 z^2 a^{-2} -5 z^2 a^{-4} +z^2 a^{-6} +2 z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +3 z^{10} a^{-4} +3 z^{10}+4 a z^9+3 z^9 a^{-1} +2 z^9 a^{-3} +3 z^9 a^{-5} +3 a^2 z^8-29 z^8 a^{-2} -15 z^8 a^{-4} +z^8 a^{-6} -10 z^8+a^3 z^7-17 a z^7-31 z^7 a^{-1} -29 z^7 a^{-3} -16 z^7 a^{-5} -13 a^2 z^6+47 z^6 a^{-2} +29 z^6 a^{-4} -2 z^6 a^{-6} +3 z^6-4 a^3 z^5+19 a z^5+57 z^5 a^{-1} +67 z^5 a^{-3} +36 z^5 a^{-5} +3 z^5 a^{-7} +14 a^2 z^4-32 z^4 a^{-2} -23 z^4 a^{-4} +2 z^4 a^{-6} +z^4 a^{-8} +6 z^4+3 a^3 z^3-10 a z^3-41 z^3 a^{-1} -53 z^3 a^{-3} -32 z^3 a^{-5} -7 z^3 a^{-7} -5 a^2 z^2+12 z^2 a^{-2} +12 z^2 a^{-4} -2 z^2 a^{-8} -3 z^2+3 a z+10 z a^{-1} +14 z a^{-3} +10 z a^{-5} +3 z a^{-7} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math]



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