K13n3601

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Polynomial invariants

Jones polynomial Data:K13n3601/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+6 t^2-8 t+7-8 t^{-1} +6 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n3601/Conway Polynomial
Determinant 37
Signature -4
HOMFLY-PT polynomial [math]\displaystyle{ -a^{10}-a^8+2 z^4 a^6+6 z^2 a^6+3 a^6-z^6 a^4-3 z^4 a^4-z^2 a^4+z^4 a^2+2 z^2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-7 z^5 a^{11}+14 z^3 a^{11}-8 z a^{11}-z^6 a^{10}+3 z^4 a^{10}-z^2 a^{10}+a^{10}-z^9 a^9+7 z^7 a^9-18 z^5 a^9+24 z^3 a^9-9 z a^9-z^8 a^8+8 z^6 a^8-14 z^4 a^8+11 z^2 a^8-a^8+3 z^7 a^7-6 z^5 a^7+4 z^3 a^7-z a^7+2 z^8 a^6-z^6 a^6-9 z^4 a^6+9 z^2 a^6-3 a^6+z^9 a^5-5 z^5 a^5+z^3 a^5+3 z^8 a^4-9 z^6 a^4+5 z^4 a^4-z^2 a^4+3 z^7 a^3-10 z^5 a^3+7 z^3 a^3+z^6 a^2-3 z^4 a^2+2 z^2 a^2 }[/math]



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