K13n3367

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Polynomial invariants

Jones polynomial Data:K13n3367/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+5 t^3-11 t^2+16 t-17+16 t^{-1} -11 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3367/Conway Polynomial
Determinant 83
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^2 z^8+a^4 z^6-5 a^2 z^6+z^6+4 a^4 z^4-8 a^2 z^4+3 z^4-a^6 z^2+5 a^4 z^2-5 a^2 z^2+2 z^2-a^6+2 a^4-a^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+6 a^3 z^9+5 a z^9+a^4 z^8+8 a^2 z^8+7 z^8-2 a^5 z^7-17 a^3 z^7-11 a z^7+4 z^7 a^{-1} +a^6 z^6-8 a^4 z^6-31 a^2 z^6+z^6 a^{-2} -21 z^6+8 a^5 z^5+21 a^3 z^5+3 a z^5-10 z^5 a^{-1} +5 a^6 z^4+20 a^4 z^4+33 a^2 z^4-2 z^4 a^{-2} +16 z^4+2 a^7 z^3-4 a^5 z^3-11 a^3 z^3-a z^3+4 z^3 a^{-1} -5 a^6 z^2-13 a^4 z^2-13 a^2 z^2-5 z^2-a^7 z+2 a^3 z+a z+a^6+2 a^4+a^2+1 }[/math]



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