K13n1897

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Polynomial invariants

Jones polynomial Data:K13n1897/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+10 t-17+10 t^{-1} - t^{-3} }[/math]
Conway polynomial Data:K13n1897/Conway Polynomial
Determinant 35
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^{10}-z^4 a^8-z^4 a^6-z^6 a^4-5 z^4 a^4-4 z^2 a^4-a^4+z^4 a^2+4 z^2 a^2+2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+7 z^4 a^{12}-3 z^2 a^{12}+3 z^9 a^{11}-16 z^7 a^{11}+25 z^5 a^{11}-15 z^3 a^{11}+3 z a^{11}+3 z^{10} a^{10}-14 z^8 a^{10}+14 z^6 a^{10}-z^4 a^{10}-z^2 a^{10}+z^{11} a^9+z^9 a^9-28 z^7 a^9+54 z^5 a^9-35 z^3 a^9+9 z a^9+5 z^{10} a^8-27 z^8 a^8+37 z^6 a^8-15 z^4 a^8+2 z^2 a^8+z^{11} a^7-z^9 a^7-21 z^7 a^7+49 z^5 a^7-37 z^3 a^7+9 z a^7+2 z^{10} a^6-12 z^8 a^6+17 z^6 a^6-8 z^4 a^6+z^9 a^5-8 z^7 a^5+15 z^5 a^5-14 z^3 a^5+4 z a^5-6 z^4 a^4+6 z^2 a^4-a^4+z^7 a^3-5 z^5 a^3+3 z^3 a^3+z a^3+z^6 a^2-5 z^4 a^2+6 z^2 a^2-2 a^2 }[/math]



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