K13n1904

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Polynomial invariants

Jones polynomial Data:K13n1904/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-4 t^3+9 t^2-14 t+17-14 t^{-1} +9 t^{-2} -4 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n1904/Conway Polynomial
Determinant 73
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-z^6-4 a^4 z^4+13 a^2 z^4-4 z^4-5 a^4 z^2+12 a^2 z^2-5 z^2-2 a^4+4 a^2-1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+4 a^5 z^9+2 a^3 z^9-a z^9+z^9 a^{-1} +3 a^6 z^8-9 a^4 z^8-23 a^2 z^8-11 z^8+a^7 z^7-15 a^5 z^7-22 a^3 z^7-12 a z^7-6 z^7 a^{-1} -12 a^6 z^6+2 a^4 z^6+36 a^2 z^6+22 z^6-4 a^7 z^5+13 a^5 z^5+34 a^3 z^5+31 a z^5+14 z^5 a^{-1} +12 a^6 z^4+a^4 z^4-28 a^2 z^4+z^4 a^{-2} -16 z^4+4 a^7 z^3-5 a^5 z^3-21 a^3 z^3-22 a z^3-10 z^3 a^{-1} -4 a^6 z^2+3 a^4 z^2+15 a^2 z^2-z^2 a^{-2} +7 z^2-a^7 z+a^5 z+5 a^3 z+5 a z+2 z a^{-1} -2 a^4-4 a^2-1 }[/math]



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