K13n3539
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Polynomial invariants
| Jones polynomial | Data:K13n3539/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-9 t^2+23 t-29+23 t^{-1} -9 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3539/Conway Polynomial |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-3 z^2 a^6-a^6+z^6 a^4+2 z^4 a^4+2 z^2 a^4+a^4-3 z^4 a^2-6 z^2 a^2-3 a^2+2 z^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+4 a^4 z^{10}+a^2 z^{10}+5 a^7 z^9+a^5 z^9-4 a^3 z^9+5 a^8 z^8-6 a^6 z^8-16 a^4 z^8-5 a^2 z^8+3 a^9 z^7-14 a^7 z^7-8 a^5 z^7+10 a^3 z^7+a z^7+a^{10} z^6-14 a^8 z^6+3 a^6 z^6+32 a^4 z^6+14 a^2 z^6-8 a^9 z^5+15 a^7 z^5+16 a^5 z^5-7 a^3 z^5-3 a^{10} z^4+11 a^8 z^4+2 a^6 z^4-23 a^4 z^4-9 a^2 z^4+2 z^4+4 a^9 z^3-13 a^7 z^3-10 a^5 z^3+7 a^3 z^3+2 a^{10} z^2-6 a^8 z^2-4 a^6 z^2+6 a^4 z^2-3 a^2 z^2-5 z^2+4 a^7 z+2 a^5 z-4 a^3 z-2 a z+a^8+a^6+a^4+3 a^2+3 }[/math] |
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