K13n2744

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Polynomial invariants

Jones polynomial Data:K13n2744/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-3 t^3+6 t^2-9 t+11-9 t^{-1} +6 t^{-2} -3 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n2744/Conway Polynomial
Determinant 49
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+7 a^2 z^6-z^6-5 a^4 z^4+18 a^2 z^4-5 z^4-8 a^4 z^2+20 a^2 z^2-8 z^2-4 a^4+8 a^2-3 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+4 a^2 z^{10}+z^{10}+3 a^5 z^9-2 a^3 z^9-5 a z^9+2 a^6 z^8-17 a^4 z^8-25 a^2 z^8-6 z^8+a^7 z^7-15 a^5 z^7-10 a^3 z^7+7 a z^7+z^7 a^{-1} -9 a^6 z^6+35 a^4 z^6+58 a^2 z^6+14 z^6-5 a^7 z^5+23 a^5 z^5+33 a^3 z^5+a z^5-4 z^5 a^{-1} +9 a^6 z^4-38 a^4 z^4-64 a^2 z^4+z^4 a^{-2} -16 z^4+6 a^7 z^3-17 a^5 z^3-36 a^3 z^3-7 a z^3+7 z^3 a^{-1} +z^3 a^{-3} -a^6 z^2+18 a^4 z^2+34 a^2 z^2-z^2 a^{-2} +14 z^2-a^7 z+5 a^5 z+11 a^3 z+5 a z-2 z a^{-1} -2 z a^{-3} -4 a^4-8 a^2-3 }[/math]



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