K13n1833

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Polynomial invariants

Jones polynomial Data:K13n1833/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+9 t^2-17 t+21-17 t^{-1} +9 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n1833/Conway Polynomial
Determinant 77
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+z^2 a^6-a^6-z^6 a^4-2 z^4 a^4+z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-3 z^2 a^2-a^2+z^4+2 z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ 3 a^5 z^{11}+3 a^3 z^{11}+6 a^6 z^{10}+12 a^4 z^{10}+6 a^2 z^{10}+4 a^7 z^9-7 a^5 z^9-7 a^3 z^9+4 a z^9+a^8 z^8-30 a^6 z^8-63 a^4 z^8-31 a^2 z^8+z^8-19 a^7 z^7-21 a^5 z^7-23 a^3 z^7-21 a z^7-4 a^8 z^6+42 a^6 z^6+94 a^4 z^6+43 a^2 z^6-5 z^6+24 a^7 z^5+51 a^5 z^5+57 a^3 z^5+30 a z^5+3 a^8 z^4-22 a^6 z^4-48 a^4 z^4-18 a^2 z^4+5 z^4-10 a^7 z^3-28 a^5 z^3-33 a^3 z^3-16 a z^3-z^3 a^{-1} +3 a^6 z^2+5 a^4 z^2-a^2 z^2-3 z^2+3 a^5 z+5 a^3 z+2 a z+a^6+2 a^4+a^2+1 }[/math]



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