K13n2990

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Polynomial invariants

Jones polynomial Data:K13n2990/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+12 t^2-22 t+27-22 t^{-1} +12 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n2990/Conway Polynomial
Determinant 101
Signature -4
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+a^{10}-z^6 a^8-2 z^4 a^8+a^8-2 z^6 a^6-8 z^4 a^6-12 z^2 a^6-7 a^6+3 z^4 a^4+9 z^2 a^4+6 a^4 }[/math]
Kauffman polynomial [math]\displaystyle{ z^6 a^{14}-3 z^4 a^{14}+2 z^2 a^{14}+3 z^7 a^{13}-8 z^5 a^{13}+4 z^3 a^{13}+5 z^8 a^{12}-14 z^6 a^{12}+11 z^4 a^{12}-5 z^2 a^{12}+5 z^9 a^{11}-14 z^7 a^{11}+16 z^5 a^{11}-14 z^3 a^{11}+4 z a^{11}+3 z^{10} a^{10}-6 z^8 a^{10}+6 z^6 a^{10}-6 z^4 a^{10}+3 z^2 a^{10}-a^{10}+z^{11} a^9+z^9 a^9-4 z^7 a^9+3 z^5 a^9+3 z^3 a^9-z a^9+4 z^{10} a^8-14 z^8 a^8+28 z^6 a^8-23 z^4 a^8+9 z^2 a^8+a^8+z^{11} a^7-4 z^9 a^7+16 z^7 a^7-28 z^5 a^7+31 z^3 a^7-13 z a^7+z^{10} a^6-3 z^8 a^6+7 z^6 a^6+2 z^4 a^6-13 z^2 a^6+7 a^6+3 z^7 a^5-7 z^5 a^5+10 z^3 a^5-8 z a^5+5 z^4 a^4-12 z^2 a^4+6 a^4 }[/math]



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