K13n1400

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Polynomial invariants

Jones polynomial Data:K13n1400/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-6 t^2+6 t-3+6 t^{-1} -6 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n1400/Conway Polynomial
Determinant 31
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+4 a^2 z^4-z^4 a^{-2} +4 z^4-3 a^4 z^2+4 a^2 z^2-4 z^2 a^{-2} +3 z^2-a^4+2 a^2-2 a^{-2} + a^{-4} +1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+a^5 z^9-4 a^3 z^9-3 a z^9+2 z^9 a^{-1} -14 a^4 z^8-25 a^2 z^8+z^8 a^{-2} -10 z^8-7 a^5 z^7-2 a^3 z^7-6 a z^7-11 z^7 a^{-1} +33 a^4 z^6+49 a^2 z^6-6 z^6 a^{-2} +10 z^6+16 a^5 z^5+18 a^3 z^5+17 a z^5+15 z^5 a^{-1} -32 a^4 z^4-40 a^2 z^4+9 z^4 a^{-2} +z^4-13 a^5 z^3-15 a^3 z^3-8 a z^3-8 z^3 a^{-1} -2 z^3 a^{-3} +12 a^4 z^2+16 a^2 z^2-8 z^2 a^{-2} -z^2 a^{-4} -3 z^2+2 a^5 z+3 a^3 z+a z+z a^{-1} +z a^{-3} -a^4-2 a^2+2 a^{-2} + a^{-4} +1 }[/math]



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