K13n3134

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Polynomial invariants

Jones polynomial Data:K13n3134/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+5 t^3-12 t^2+21 t-25+21 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3134/Conway Polynomial
Determinant 103
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^4 z^8+a^6 z^6-5 a^4 z^6+a^2 z^6+3 a^6 z^4-8 a^4 z^4+3 a^2 z^4+2 a^6 z^2-3 a^4 z^2+3 a^2 z^2-a^6+a^4+a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+4 a^6 z^{10}+5 a^4 z^{10}+a^2 z^{10}+7 a^7 z^9+4 a^5 z^9-3 a^3 z^9+7 a^8 z^8-8 a^6 z^8-21 a^4 z^8-6 a^2 z^8+4 a^9 z^7-19 a^7 z^7-21 a^5 z^7+2 a^3 z^7+a^{10} z^6-19 a^8 z^6+2 a^6 z^6+40 a^4 z^6+18 a^2 z^6-10 a^9 z^5+13 a^7 z^5+34 a^5 z^5+14 a^3 z^5+3 a z^5-2 a^{10} z^4+11 a^8 z^4+3 a^6 z^4-26 a^4 z^4-16 a^2 z^4+4 a^9 z^3-3 a^7 z^3-17 a^5 z^3-14 a^3 z^3-4 a z^3-2 a^8 z^2-2 a^6 z^2+5 a^4 z^2+5 a^2 z^2-a^7 z+a^5 z+3 a^3 z+a z+a^6+a^4-a^2 }[/math]



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