K13n1957

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Polynomial invariants

Jones polynomial Data:K13n1957/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^2-7 t+11-7 t^{-1} +2 t^{-2} }[/math]
Conway polynomial Data:K13n1957/Conway Polynomial
Determinant 29
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^6-z^6-a^4 z^4+7 a^2 z^4+z^4 a^{-2} -5 z^4-4 a^4 z^2+13 a^2 z^2+2 z^2 a^{-2} -10 z^2-3 a^4+8 a^2+2 a^{-2} -6 }[/math]
Kauffman polynomial [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+a^3 z^9-9 a^4 z^8-11 a^2 z^8-2 z^8-8 a^5 z^7-11 a^3 z^7-2 a z^7+z^7 a^{-1} +26 a^4 z^6+41 a^2 z^6+4 z^6 a^{-2} +19 z^6+20 a^5 z^5+35 a^3 z^5+19 a z^5+7 z^5 a^{-1} +3 z^5 a^{-3} -30 a^4 z^4-58 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} -35 z^4-18 a^5 z^3-36 a^3 z^3-28 a z^3-14 z^3 a^{-1} -4 z^3 a^{-3} +16 a^4 z^2+35 a^2 z^2+4 z^2 a^{-2} -z^2 a^{-4} +24 z^2+5 a^5 z+11 a^3 z+10 a z+6 z a^{-1} +2 z a^{-3} -3 a^4-8 a^2-2 a^{-2} -6 }[/math]



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