K13n4236

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Polynomial invariants

Jones polynomial Data:K13n4236/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+5 t^2-11 t+15-11 t^{-1} +5 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n4236/Conway Polynomial
Determinant 49
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^8-a^8+2 z^4 a^6+5 z^2 a^6+3 a^6-z^6 a^4-4 z^4 a^4-6 z^2 a^4-3 a^4+z^4 a^2+2 z^2 a^2+a^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^7 z^{11}+2 a^5 z^{11}+3 a^8 z^{10}+8 a^6 z^{10}+5 a^4 z^{10}+a^9 z^9-8 a^7 z^9-5 a^5 z^9+4 a^3 z^9-19 a^8 z^8-49 a^6 z^8-29 a^4 z^8+a^2 z^8-6 a^9 z^7-3 a^7 z^7-19 a^5 z^7-22 a^3 z^7+39 a^8 z^6+94 a^6 z^6+51 a^4 z^6-4 a^2 z^6+12 a^9 z^5+35 a^7 z^5+55 a^5 z^5+32 a^3 z^5-31 a^8 z^4-71 a^6 z^4-42 a^4 z^4-2 a^2 z^4-10 a^9 z^3-33 a^7 z^3-39 a^5 z^3-19 a^3 z^3-3 a z^3+9 a^8 z^2+23 a^6 z^2+19 a^4 z^2+4 a^2 z^2-z^2+3 a^9 z+8 a^7 z+8 a^5 z+4 a^3 z+a z-a^8-3 a^6-3 a^4-a^2+1 }[/math]



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