K13n2225

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Polynomial invariants

Jones polynomial Data:K13n2225/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-4 t^3+10 t^2-19 t+25-19 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n2225/Conway Polynomial
Determinant 93
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^4-3 z^4-5 a^4 z^2+10 a^2 z^2-z^2 a^{-2} -3 z^2-a^4+2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+8 a^2 z^{10}+3 z^{10}+5 a^5 z^9-2 a^3 z^9-6 a z^9+z^9 a^{-1} +3 a^6 z^8-21 a^4 z^8-38 a^2 z^8-14 z^8+a^7 z^7-21 a^5 z^7-18 a^3 z^7+2 a z^7-2 z^7 a^{-1} -12 a^6 z^6+27 a^4 z^6+65 a^2 z^6+z^6 a^{-2} +27 z^6-4 a^7 z^5+25 a^5 z^5+37 a^3 z^5+12 a z^5+4 z^5 a^{-1} +11 a^6 z^4-18 a^4 z^4-49 a^2 z^4+3 z^4 a^{-2} -17 z^4+3 a^7 z^3-14 a^5 z^3-26 a^3 z^3-11 a z^3+2 z^3 a^{-3} -3 a^6 z^2+6 a^4 z^2+16 a^2 z^2-4 z^2 a^{-2} +3 z^2+3 a^5 z+6 a^3 z+3 a z-z a^{-1} -z a^{-3} -a^4-2 a^2 }[/math]



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