K13n2894

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Polynomial invariants

Jones polynomial Data:K13n2894/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+6 t^3-17 t^2+29 t-33+29 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n2894/Conway Polynomial
Determinant 139
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-10 z^4 a^{-2} +3 z^4 a^{-4} +7 z^4-2 a^2 z^2-9 z^2 a^{-2} +3 z^2 a^{-4} +7 z^2-2 a^{-2} + a^{-4} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +3 z^{10} a^{-4} +4 z^{10}+6 a z^9+11 z^9 a^{-1} +8 z^9 a^{-3} +3 z^9 a^{-5} +4 a^2 z^8-11 z^8 a^{-2} -3 z^8 a^{-4} +z^8 a^{-6} -3 z^8+a^3 z^7-19 a z^7-42 z^7 a^{-1} -27 z^7 a^{-3} -5 z^7 a^{-5} -14 a^2 z^6-9 z^6 a^{-2} +2 z^6 a^{-4} +3 z^6 a^{-6} -22 z^6-3 a^3 z^5+16 a z^5+44 z^5 a^{-1} +34 z^5 a^{-3} +13 z^5 a^{-5} +4 z^5 a^{-7} +14 a^2 z^4+21 z^4 a^{-2} +3 z^4 a^{-4} -z^4 a^{-6} +z^4 a^{-8} +30 z^4+2 a^3 z^3-5 a z^3-22 z^3 a^{-1} -21 z^3 a^{-3} -10 z^3 a^{-5} -4 z^3 a^{-7} -4 a^2 z^2-13 z^2 a^{-2} -3 z^2 a^{-4} -z^2 a^{-8} -13 z^2+a z+4 z a^{-1} +5 z a^{-3} +3 z a^{-5} +z a^{-7} +2 a^{-2} + a^{-4} +2 }[/math]



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