K13n1462

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Polynomial invariants

Jones polynomial Data:K13n1462/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+7 t^3-23 t^2+45 t-55+45 t^{-1} -23 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n1462/Conway Polynomial
Determinant 207
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^8-z^4 a^6+z^2 a^6+3 a^6+2 z^6 a^4+4 z^4 a^4-3 a^4-z^8 a^2-4 z^6 a^2-6 z^4 a^2-2 z^2 a^2+a^2+z^6+2 z^4+z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+13 a^4 z^{10}+8 a^2 z^{10}+4 a^7 z^9+11 a^5 z^9+20 a^3 z^9+13 a z^9+a^8 z^8-7 a^6 z^8-20 a^4 z^8-a^2 z^8+11 z^8-4 a^7 z^7-30 a^5 z^7-57 a^3 z^7-26 a z^7+5 z^7 a^{-1} +6 a^8 z^6+18 a^6 z^6+9 a^4 z^6-27 a^2 z^6+z^6 a^{-2} -23 z^6+3 a^9 z^5+9 a^7 z^5+36 a^5 z^5+53 a^3 z^5+15 a z^5-8 z^5 a^{-1} -13 a^8 z^4-28 a^6 z^4-5 a^4 z^4+23 a^2 z^4-z^4 a^{-2} +12 z^4-5 a^9 z^3-14 a^7 z^3-20 a^5 z^3-17 a^3 z^3-5 a z^3+z^3 a^{-1} +7 a^8 z^2+16 a^6 z^2+10 a^4 z^2-a^2 z^2-2 z^2+2 a^9 z+4 a^7 z+2 a^5 z-a^8-3 a^6-3 a^4-a^2+1 }[/math]



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