K13n2126

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Polynomial invariants

Jones polynomial Data:K13n2126/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-3 t^2+8 t-11+8 t^{-1} -3 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n2126/Conway Polynomial
Determinant 35
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^{10}+a^{10}-2 z^4 a^8-6 z^2 a^8-5 a^8+z^6 a^6+5 z^4 a^6+9 z^2 a^6+5 a^6+z^2 a^4 }[/math]
Kauffman polynomial [math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+6 z^4 a^{12}-z^2 a^{12}+3 z^9 a^{11}-17 z^7 a^{11}+28 z^5 a^{11}-16 z^3 a^{11}+2 z a^{11}+3 z^{10} a^{10}-16 z^8 a^{10}+23 z^6 a^{10}-12 z^4 a^{10}+4 z^2 a^{10}-a^{10}+z^{11} a^9-25 z^7 a^9+57 z^5 a^9-44 z^3 a^9+12 z a^9+5 z^{10} a^8-30 z^8 a^8+55 z^6 a^8-46 z^4 a^8+22 z^2 a^8-5 a^8+z^{11} a^7-2 z^9 a^7-15 z^7 a^7+43 z^5 a^7-41 z^3 a^7+14 z a^7+2 z^{10} a^6-13 z^8 a^6+27 z^6 a^6-30 z^4 a^6+18 z^2 a^6-5 a^6+z^9 a^5-7 z^7 a^5+14 z^5 a^5-14 z^3 a^5+5 z a^5-2 z^4 a^4+z^2 a^4-z^3 a^3+z a^3 }[/math]



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