K13n199

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Polynomial invariants

Jones polynomial Data:K13n199/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^2+18 t-29+18 t^{-1} -3 t^{-2} }[/math]
Conway polynomial Data:K13n199/Conway Polynomial
Determinant 71
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^{12}+2 z^2 a^{10}+a^{10}-z^4 a^8-a^8-z^4 a^6+2 z^2 a^6+2 a^6-z^4 a^4-a^4+2 z^2 a^2+a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^9 a^{13}-7 z^7 a^{13}+17 z^5 a^{13}-17 z^3 a^{13}+6 z a^{13}+2 z^{10} a^{12}-13 z^8 a^{12}+28 z^6 a^{12}-23 z^4 a^{12}+7 z^2 a^{12}-a^{12}+z^{11} a^{11}-2 z^9 a^{11}-13 z^7 a^{11}+41 z^5 a^{11}-34 z^3 a^{11}+8 z a^{11}+5 z^{10} a^{10}-27 z^8 a^{10}+45 z^6 a^{10}-26 z^4 a^{10}+6 z^2 a^{10}-a^{10}+z^{11} a^9+z^9 a^9-21 z^7 a^9+37 z^5 a^9-21 z^3 a^9+5 z a^9+3 z^{10} a^8-10 z^8 a^8+8 z^6 a^8-7 z^4 a^8+6 z^2 a^8-a^8+4 z^9 a^7-11 z^7 a^7+6 z^5 a^7-6 z^3 a^7+3 z a^7+4 z^8 a^6-6 z^6 a^6-7 z^4 a^6+7 z^2 a^6-2 a^6+4 z^7 a^5-6 z^5 a^5+z^3 a^5-z a^5+3 z^6 a^4-3 z^4 a^4+3 z^2 a^4-a^4+z^5 a^3+3 z^3 a^3-z a^3+3 z^2 a^2-a^2 }[/math]



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