K13n4006
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Polynomial invariants
| Jones polynomial | Data:K13n4006/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+23 t-27+23 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4006/Conway Polynomial |
| Determinant | 111 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-5 a^4 z^6+a^2 z^6+3 a^6 z^4-9 a^4 z^4+3 a^2 z^4+3 a^6 z^2-7 a^4 z^2+4 a^2 z^2+a^6-3 a^4+3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-2 z^4 a^{10}+z^2 a^{10}+4 z^7 a^9-9 z^5 a^9+6 z^3 a^9-z a^9+7 z^8 a^8-16 z^6 a^8+9 z^4 a^8-z^2 a^8+5 z^9 a^7-3 z^7 a^7-13 z^5 a^7+9 z^3 a^7-z a^7+z^{10} a^6+12 z^8 a^6-26 z^6 a^6+7 z^4 a^6+3 z^2 a^6-a^6+6 z^9 a^5+z^7 a^5-18 z^5 a^5+8 z^3 a^5+z a^5+z^{10} a^4+5 z^8 a^4+z^6 a^4-16 z^4 a^4+12 z^2 a^4-3 a^4+z^9 a^3+8 z^7 a^3-10 z^5 a^3+4 z^3 a^3+z a^3+10 z^6 a^2-11 z^4 a^2+7 z^2 a^2-3 a^2+4 z^5 a-z^3 a+z^4 }[/math] |
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