K13n2622

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Polynomial invariants

Jones polynomial Data:K13n2622/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t+3- t^{-1} }[/math]
Conway polynomial Data:K13n2622/Conway Polynomial
Determinant 5
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6-a^6+z^4 a^4+3 z^2 a^4+2 a^4+a^2-z^4-4 z^2-3+z^2 a^{-2} +2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^9-a z^9+2 a^6 z^8+2 a^4 z^8-a^2 z^8-z^8+a^7 z^7-4 a^5 z^7+a^3 z^7+7 a z^7+z^7 a^{-1} -11 a^6 z^6-12 a^4 z^6+6 a^2 z^6+z^6 a^{-2} +8 z^6-5 a^7 z^5-a^5 z^5-7 a^3 z^5-16 a z^5-5 z^5 a^{-1} +16 a^6 z^4+19 a^4 z^4-12 a^2 z^4-5 z^4 a^{-2} -20 z^4+6 a^7 z^3+10 a^5 z^3+10 a^3 z^3+13 a z^3+7 z^3 a^{-1} -7 a^6 z^2-10 a^4 z^2+6 a^2 z^2+7 z^2 a^{-2} +16 z^2-2 a^7 z-4 a^5 z-4 a^3 z-5 a z-3 z a^{-1} +a^6+2 a^4-a^2-2 a^{-2} -3 }[/math]



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