K13n2924

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Polynomial invariants

Jones polynomial Data:K13n2924/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+16 t^2-35 t+45-35 t^{-1} +16 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n2924/Conway Polynomial
Determinant 153
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+z^2 a^6-a^6-z^6 a^4-z^4 a^4+z^2 a^4+a^4-2 z^6 a^2-5 z^4 a^2-3 z^2 a^2+a^2+3 z^4+4 z^2-z^2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 3 a^5 z^{11}+3 a^3 z^{11}+6 a^6 z^{10}+16 a^4 z^{10}+10 a^2 z^{10}+4 a^7 z^9+a^5 z^9+11 a^3 z^9+14 a z^9+a^8 z^8-25 a^6 z^8-61 a^4 z^8-26 a^2 z^8+9 z^8-18 a^7 z^7-42 a^5 z^7-75 a^3 z^7-49 a z^7+2 z^7 a^{-1} -4 a^8 z^6+33 a^6 z^6+68 a^4 z^6+7 a^2 z^6-24 z^6+26 a^7 z^5+70 a^5 z^5+102 a^3 z^5+62 a z^5+4 z^5 a^{-1} +4 a^8 z^4-19 a^6 z^4-33 a^4 z^4+12 a^2 z^4+5 z^4 a^{-2} +27 z^4-13 a^7 z^3-40 a^5 z^3-53 a^3 z^3-32 a z^3-5 z^3 a^{-1} +z^3 a^{-3} +4 a^6 z^2+8 a^4 z^2-2 a^2 z^2-3 z^2 a^{-2} -9 z^2+5 a^5 z+9 a^3 z+5 a z+z a^{-1} +a^6+a^4-a^2 }[/math]



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