K13n2226

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Polynomial invariants

Jones polynomial Data:K13n2226/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-8 t+15-8 t^{-1} + t^{-3} }[/math]
Conway polynomial Data:K13n2226/Conway Polynomial
Determinant 29
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^6-a^4 z^4+5 a^2 z^4+z^4 a^{-2} +z^4-3 a^4 z^2+5 a^2 z^2-z^2 a^{-4} -a^4+2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+3 a^2 z^{10}+z^{10}+a^5 z^9-6 a^3 z^9-7 a z^9-15 a^4 z^8-25 a^2 z^8+2 z^8 a^{-2} -8 z^8-7 a^5 z^7+4 a^3 z^7+11 a z^7+4 z^7 a^{-1} +4 z^7 a^{-3} +35 a^4 z^6+63 a^2 z^6-2 z^6 a^{-2} +3 z^6 a^{-4} +23 z^6+15 a^5 z^5+18 a^3 z^5+6 a z^5-8 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} -32 a^4 z^4-57 a^2 z^4-3 z^4 a^{-2} -7 z^4 a^{-4} -21 z^4-12 a^5 z^3-22 a^3 z^3-13 a z^3+5 z^3 a^{-1} +6 z^3 a^{-3} -2 z^3 a^{-5} +12 a^4 z^2+19 a^2 z^2+2 z^2 a^{-2} +3 z^2 a^{-4} +6 z^2+3 a^5 z+6 a^3 z+3 a z-z a^{-1} -z a^{-3} -a^4-2 a^2 }[/math]



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