K13n2700

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Polynomial invariants

Jones polynomial Data:K13n2700/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-4 t^3+9 t^2-14 t+17-14 t^{-1} +9 t^{-2} -4 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n2700/Conway Polynomial
Determinant 73
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+7 a^2 z^6-2 z^6-5 a^4 z^4+19 a^2 z^4+z^4 a^{-2} -10 z^4-8 a^4 z^2+23 a^2 z^2+3 z^2 a^{-2} -16 z^2-4 a^4+10 a^2+2 a^{-2} -7 }[/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}+2 a^5 z^9-3 a^3 z^9-3 a z^9+2 z^9 a^{-1} +2 a^6 z^8-9 a^4 z^8-22 a^2 z^8+z^8 a^{-2} -10 z^8+a^7 z^7-7 a^5 z^7+3 a^3 z^7+2 a z^7-9 z^7 a^{-1} -9 a^6 z^6+19 a^4 z^6+56 a^2 z^6-2 z^6 a^{-2} +26 z^6-5 a^7 z^5+5 a^5 z^5+3 a^3 z^5+11 a z^5+21 z^5 a^{-1} +3 z^5 a^{-3} +11 a^6 z^4-27 a^4 z^4-72 a^2 z^4+3 z^4 a^{-2} +z^4 a^{-4} -32 z^4+7 a^7 z^3-14 a^3 z^3-18 a z^3-17 z^3 a^{-1} -6 z^3 a^{-3} -3 a^6 z^2+16 a^4 z^2+42 a^2 z^2+z^2 a^{-2} -2 z^2 a^{-4} +26 z^2-2 a^7 z+6 a^3 z+8 a z+6 z a^{-1} +2 z a^{-3} -4 a^4-10 a^2-2 a^{-2} -7 }[/math]



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