K13n3986

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Polynomial invariants

Jones polynomial Data:K13n3986/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+7 t^3-23 t^2+46 t-57+46 t^{-1} -23 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3986/Conway Polynomial
Determinant 211
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^8+a^8+2 z^6 a^6+4 z^4 a^6-3 a^6-z^8 a^4-4 z^6 a^4-6 z^4 a^4-z^2 a^4+2 a^4+z^6 a^2+2 z^4 a^2+2 z^2 a^2+a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-z^5 a^{11}+6 z^8 a^{10}-13 z^6 a^{10}+4 z^4 a^{10}+2 z^2 a^{10}+13 z^9 a^9-36 z^7 a^9+22 z^5 a^9+2 z^3 a^9-3 z a^9+12 z^{10} a^8-26 z^8 a^8+2 z^6 a^8+8 z^4 a^8+a^8+4 z^{11} a^7+14 z^9 a^7-64 z^7 a^7+48 z^5 a^7-7 z a^7+20 z^{10} a^6-50 z^8 a^6+32 z^6 a^6-5 z^4 a^6-3 z^2 a^6+3 a^6+4 z^{11} a^5+6 z^9 a^5-30 z^7 a^5+26 z^5 a^5-3 z^3 a^5-4 z a^5+8 z^{10} a^4-17 z^8 a^4+26 z^6 a^4-18 z^4 a^4+2 z^2 a^4+2 a^4+5 z^9 a^3-3 z^7 a^3+6 z^5 a^3-3 z^3 a^3+z^8 a^2+9 z^6 a^2-8 z^4 a^2+3 z^2 a^2-a^2+5 z^5 a-2 z^3 a+z^4 }[/math]



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