K13n1925

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Polynomial invariants

Jones polynomial Data:K13n1925/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+15 t^2-33 t+43-33 t^{-1} +15 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n1925/Conway Polynomial
Determinant 145
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -a^2 z^6-2 z^6+a^4 z^4-a^2 z^4+3 z^4 a^{-2} -6 z^4+a^4 z^2+a^2 z^2+6 z^2 a^{-2} -z^2 a^{-4} -7 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+3 z^{10} a^{-2} +10 z^{10}+10 a^3 z^9+7 a z^9-2 z^9 a^{-1} +z^9 a^{-3} +8 a^4 z^8-17 a^2 z^8-11 z^8 a^{-2} -36 z^8+4 a^5 z^7-30 a^3 z^7-39 a z^7-4 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-21 a^4 z^6+11 a^2 z^6+30 z^6 a^{-2} +4 z^6 a^{-4} +59 z^6-9 a^5 z^5+30 a^3 z^5+61 a z^5+22 z^5 a^{-1} +z^5 a^{-3} +z^5 a^{-5} -2 a^6 z^4+13 a^4 z^4+2 a^2 z^4-35 z^4 a^{-2} -8 z^4 a^{-4} -40 z^4+2 a^5 z^3-14 a^3 z^3-31 a z^3-21 z^3 a^{-1} -8 z^3 a^{-3} -2 z^3 a^{-5} -4 a^4 z^2+15 z^2 a^{-2} +4 z^2 a^{-4} +15 z^2+2 a^3 z+5 a z+5 z a^{-1} +3 z a^{-3} +z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math]



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