K13n3723
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Polynomial invariants
| Jones polynomial | Data:K13n3723/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3723/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+5 a^2 z^6+z^6 a^{-2} -7 z^6-2 a^4 z^4+8 a^2 z^4+4 z^4 a^{-2} -13 z^4+2 a^2 z^2+3 z^2 a^{-2} -5 z^2+a^4-3 a^2- a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+3 a z^{11}+z^{11} a^{-1} +7 a^4 z^{10}+11 a^2 z^{10}+3 z^{10} a^{-2} +7 z^{10}+9 a^5 z^9+5 a^3 z^9-10 a z^9-3 z^9 a^{-1} +3 z^9 a^{-3} +5 a^6 z^8-22 a^4 z^8-57 a^2 z^8-20 z^8 a^{-2} +z^8 a^{-4} -51 z^8+a^7 z^7-32 a^5 z^7-51 a^3 z^7-21 a z^7-21 z^7 a^{-1} -18 z^7 a^{-3} -15 a^6 z^6+8 a^4 z^6+86 a^2 z^6+33 z^6 a^{-2} -5 z^6 a^{-4} +101 z^6-2 a^7 z^5+25 a^5 z^5+71 a^3 z^5+76 a z^5+59 z^5 a^{-1} +27 z^5 a^{-3} +7 a^6 z^4+a^4 z^4-47 a^2 z^4-21 z^4 a^{-2} +5 z^4 a^{-4} -67 z^4-6 a^5 z^3-30 a^3 z^3-48 a z^3-38 z^3 a^{-1} -14 z^3 a^{-3} +a^6 z^2+a^4 z^2+7 a^2 z^2+5 z^2 a^{-2} -z^2 a^{-4} +13 z^2-a^5 z+4 a z+4 z a^{-1} +z a^{-3} +a^4+3 a^2+ a^{-2} +4 }[/math] |
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