K13n3300

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Polynomial invariants

Jones polynomial Data:K13n3300/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+11 t^2-26 t+35-26 t^{-1} +11 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n3300/Conway Polynomial
Determinant 113
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-3 z^4 a^4-5 z^2 a^4-3 a^4-z^6 a^2-z^4 a^2+2 z^2 a^2+3 a^2+2 z^4+2 z^2-z^2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+9 a^4 z^{10}+5 a^2 z^{10}+3 a^7 z^9-2 a^5 z^9+a^3 z^9+6 a z^9+a^8 z^8-18 a^6 z^8-36 a^4 z^8-13 a^2 z^8+4 z^8-15 a^7 z^7-17 a^5 z^7-19 a^3 z^7-16 a z^7+z^7 a^{-1} -5 a^8 z^6+25 a^6 z^6+46 a^4 z^6+9 a^2 z^6-7 z^6+24 a^7 z^5+31 a^5 z^5+17 a^3 z^5+14 a z^5+4 z^5 a^{-1} +7 a^8 z^4-14 a^6 z^4-33 a^4 z^4-9 a^2 z^4+4 z^4 a^{-2} +7 z^4-14 a^7 z^3-19 a^5 z^3-5 a^3 z^3-4 a z^3-3 z^3 a^{-1} +z^3 a^{-3} -2 a^8 z^2+4 a^6 z^2+15 a^4 z^2+9 a^2 z^2-2 z^2 a^{-2} -2 z^2+2 a^7 z+4 a^5 z+2 a^3 z-a^6-3 a^4-3 a^2 }[/math]



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