K13n2523
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Polynomial invariants
| Jones polynomial | Data:K13n2523/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+29 t-35+29 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2523/Conway Polynomial |
| Determinant | 139 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+2 a^4 z^6-5 a^2 z^6+z^6-a^6 z^4+8 a^4 z^4-10 a^2 z^4+3 z^4-3 a^6 z^2+12 a^4 z^2-9 a^2 z^2+3 z^2-3 a^6+6 a^4-3 a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+a^6 z^{10}+6 a^4 z^{10}+5 a^2 z^{10}+a^5 z^9+10 a^3 z^9+9 a z^9+a^6 z^8-12 a^4 z^8-5 a^2 z^8+8 z^8+6 a^7 z^7+a^5 z^7-33 a^3 z^7-24 a z^7+4 z^7 a^{-1} +3 a^8 z^6+2 a^6 z^6+10 a^4 z^6-11 a^2 z^6+z^6 a^{-2} -21 z^6+a^9 z^5-10 a^7 z^5-a^5 z^5+40 a^3 z^5+21 a z^5-9 z^5 a^{-1} -5 a^8 z^4-a^6 z^4+8 a^4 z^4+21 a^2 z^4-2 z^4 a^{-2} +15 z^4-2 a^9 z^3+6 a^7 z^3+3 a^5 z^3-17 a^3 z^3-9 a z^3+3 z^3 a^{-1} +2 a^8 z^2-5 a^6 z^2-15 a^4 z^2-13 a^2 z^2-5 z^2+a^9 z-2 a^7 z-3 a^5 z+a^3 z+a z+3 a^6+6 a^4+3 a^2+1 }[/math] |
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