K13n3930

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Polynomial invariants

Jones polynomial Data:K13n3930/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-4 t^3+7 t^2-7 t+7-7 t^{-1} +7 t^{-2} -4 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n3930/Conway Polynomial
Determinant 45
Signature -4
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-a^8+z^4 a^6+4 z^2 a^6+3 a^6+z^8 a^4+5 z^6 a^4+6 z^4 a^4-z^2 a^4-4 a^4-z^6 a^2-3 z^4 a^2+3 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+5 z^3 a^{11}+2 z^8 a^{10}-12 z^6 a^{10}+17 z^4 a^{10}-5 z^2 a^{10}+z^9 a^9-8 z^7 a^9+15 z^5 a^9-9 z^3 a^9+4 z a^9-z^8 a^8+6 z^4 a^8-3 z^2 a^8-a^8+z^9 a^7-9 z^7 a^7+25 z^5 a^7-28 z^3 a^7+10 z a^7+z^{10} a^6-4 z^8 a^6+6 z^6 a^6-9 z^4 a^6+6 z^2 a^6-3 a^6+4 z^9 a^5-15 z^7 a^5+17 z^5 a^5-17 z^3 a^5+9 z a^5+z^{10} a^4+3 z^8 a^4-22 z^6 a^4+18 z^4 a^4+3 z^2 a^4-4 a^4+4 z^9 a^3-14 z^7 a^3+9 z^5 a^3-z^3 a^3+3 z a^3+4 z^8 a^2-16 z^6 a^2+16 z^4 a^2-z^2 a^2-3 a^2+z^7 a-3 z^5 a+2 z^3 a }[/math]



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