K13n3416

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Polynomial invariants

Jones polynomial Data:K13n3416/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^2-4 t+7-4 t^{-1} + t^{-2} }[/math]
Conway polynomial Data:K13n3416/Conway Polynomial
Determinant 17
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+5 z^2 a^4+3 a^4-z^6 a^2-5 z^4 a^2-8 z^2 a^2-3 a^2+z^6+5 z^4+6 z^2+2-z^4 a^{-2} -2 z^2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a^4 z^{10}+2 a^2 z^{10}+z^{10}+3 a^5 z^9+5 a^3 z^9+5 a z^9+3 z^9 a^{-1} +3 a^6 z^8-9 a^2 z^8+3 z^8 a^{-2} -3 z^8+a^7 z^7-12 a^5 z^7-29 a^3 z^7-34 a z^7-17 z^7 a^{-1} +z^7 a^{-3} -13 a^6 z^6-19 a^4 z^6-4 a^2 z^6-15 z^6 a^{-2} -13 z^6-4 a^7 z^5+8 a^5 z^5+43 a^3 z^5+57 a z^5+22 z^5 a^{-1} -4 z^5 a^{-3} +14 a^6 z^4+29 a^4 z^4+30 a^2 z^4+16 z^4 a^{-2} +31 z^4+4 a^7 z^3-a^5 z^3-23 a^3 z^3-29 a z^3-9 z^3 a^{-1} +2 z^3 a^{-3} -6 a^6 z^2-16 a^4 z^2-20 a^2 z^2-5 z^2 a^{-2} -15 z^2-a^7 z+4 a^3 z+4 a z+z a^{-1} +a^6+3 a^4+3 a^2+2 }[/math]



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