K13n4134

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Polynomial invariants

Jones polynomial Data:K13n4134/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+5 t^3-12 t^2+16 t-15+16 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n4134/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+2 z^4-a^6 z^2+4 a^4 z^2-5 a^2 z^2+z^2 a^{-2} -2 z^2+a^4+2 a^{-2} -2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^2 z^{10}+z^{10}+5 a^3 z^9+6 a z^9+z^9 a^{-1} +6 a^4 z^8+8 a^2 z^8+2 z^8+2 a^5 z^7-13 a^3 z^7-14 a z^7+z^7 a^{-1} -17 a^4 z^6-30 a^2 z^6+3 z^6 a^{-2} -10 z^6+2 a^5 z^5+16 a^3 z^5+4 a z^5-10 z^5 a^{-1} +5 a^6 z^4+25 a^4 z^4+29 a^2 z^4-9 z^4 a^{-2} +a^7 z^3-a^5 z^3-10 a^3 z^3+8 z^3 a^{-1} -2 a^6 z^2-12 a^4 z^2-10 a^2 z^2+7 z^2 a^{-2} +7 z^2+2 a^3 z+a z-z a^{-1} +a^4-2 a^{-2} -2 }[/math]



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