K13n2820

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Polynomial invariants

Jones polynomial Data:K13n2820/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -5 t^2+24 t-37+24 t^{-1} -5 t^{-2} }[/math]
Conway polynomial Data:K13n2820/Conway Polynomial
Determinant 95
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^{10}-a^{10}-z^4 a^8+2 z^2 a^8+2 a^8-3 z^4 a^6-4 z^2 a^6-3 a^6-z^4 a^4+3 z^2 a^4+3 a^4+2 z^2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+4 z^4 a^{12}-z^2 a^{12}+4 z^9 a^{11}-19 z^7 a^{11}+26 z^5 a^{11}-10 z^3 a^{11}-z a^{11}+5 z^{10} a^{10}-22 z^8 a^{10}+25 z^6 a^{10}-6 z^4 a^{10}-z^2 a^{10}+a^{10}+2 z^{11} a^9-30 z^7 a^9+49 z^5 a^9-22 z^3 a^9+3 z a^9+9 z^{10} a^8-38 z^8 a^8+43 z^6 a^8-15 z^4 a^8-z^2 a^8+2 a^8+2 z^{11} a^7-z^9 a^7-21 z^7 a^7+35 z^5 a^7-23 z^3 a^7+5 z a^7+4 z^{10} a^6-14 z^8 a^6+12 z^6 a^6+z^4 a^6-10 z^2 a^6+3 a^6+3 z^9 a^5-10 z^7 a^5+13 z^5 a^5-9 z^3 a^5+z a^5+z^8 a^4-2 z^6 a^4+6 z^4 a^4-7 z^2 a^4+3 a^4+z^5 a^3+2 z^3 a^3+2 z^2 a^2 }[/math]



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