K13n250

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Polynomial invariants

Jones polynomial Data:K13n250/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+5 t^2-10 t+13-10 t^{-1} +5 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n250/Conway Polynomial
Determinant 45
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-4 z^4 a^4-6 z^2 a^4-4 a^4+2 z^4 a^2+6 z^2 a^2+5 a^2-z^2-1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+5 a^4 z^{10}+2 a^2 z^{10}+3 a^7 z^9+a^5 z^9-a^3 z^9+a z^9+a^8 z^8-14 a^6 z^8-26 a^4 z^8-11 a^2 z^8-16 a^7 z^7-27 a^5 z^7-17 a^3 z^7-6 a z^7-5 a^8 z^6+14 a^6 z^6+36 a^4 z^6+17 a^2 z^6+25 a^7 z^5+52 a^5 z^5+37 a^3 z^5+10 a z^5+7 a^8 z^4-19 a^4 z^4-14 a^2 z^4-2 z^4-15 a^7 z^3-34 a^5 z^3-28 a^3 z^3-10 a z^3-z^3 a^{-1} -3 a^8 z^2-a^6 z^2+9 a^4 z^2+9 a^2 z^2+2 z^2+3 a^7 z+9 a^5 z+9 a^3 z+4 a z+z a^{-1} -a^6-4 a^4-5 a^2-1 }[/math]



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