K13n3878
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Polynomial invariants
| Jones polynomial | Data:K13n3878/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+7 t^3-10 t^2+14 t-15+14 t^{-1} -10 t^{-2} +7 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3878/Conway Polynomial |
| Determinant | 87 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-a^4 z^8+8 a^2 z^8-z^8-6 a^4 z^6+23 a^2 z^6-7 z^6-11 a^4 z^4+29 a^2 z^4+z^4 a^{-2} -17 z^4-6 a^4 z^2+17 a^2 z^2+4 z^2 a^{-2} -17 z^2-a^4+5 a^2+3 a^{-2} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+7 a^2 z^{10}+3 z^{10}+4 a^5 z^9-7 a^3 z^9-10 a z^9+z^9 a^{-1} +4 a^6 z^8-18 a^4 z^8-40 a^2 z^8-18 z^8+4 a^7 z^7-12 a^5 z^7+6 a^3 z^7+21 a z^7-z^7 a^{-1} +3 a^8 z^6-9 a^6 z^6+33 a^4 z^6+88 a^2 z^6+3 z^6 a^{-2} +46 z^6+a^9 z^5-9 a^7 z^5+12 a^5 z^5+6 a^3 z^5-25 a z^5-9 z^5 a^{-1} -7 a^8 z^4+5 a^6 z^4-22 a^4 z^4-85 a^2 z^4-13 z^4 a^{-2} -64 z^4-2 a^9 z^3+4 a^7 z^3+2 a^5 z^3-2 a^3 z^3+14 a z^3+12 z^3 a^{-1} +2 a^8 z^2+a^6 z^2+8 a^4 z^2+33 a^2 z^2+13 z^2 a^{-2} +37 z^2-a^7 z-2 a^5 z-2 a^3 z-4 a z-3 z a^{-1} -a^4-5 a^2-3 a^{-2} -6 }[/math] |
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