K13n265
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Polynomial invariants
| Jones polynomial | Data:K13n265/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-7 t^3+13 t^2-14 t+13-14 t^{-1} +13 t^{-2} -7 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n265/Conway Polynomial |
| Determinant | 85 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-z^6 a^8-6 z^4 a^8-10 z^2 a^8-6 a^8+z^8 a^6+6 z^6 a^6+13 z^4 a^6+14 z^2 a^6+6 a^6+z^8 a^4+5 z^6 a^4+8 z^4 a^4+6 z^2 a^4+a^4-z^6 a^2-4 z^4 a^2-4 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^3 a^{11}-2 z a^{11}+z^6 a^{10}-z^4 a^{10}+z^2 a^{10}-a^{10}+2 z^9 a^9-11 z^7 a^9+25 z^5 a^9-20 z^3 a^9+6 z a^9+3 z^{10} a^8-16 z^8 a^8+34 z^6 a^8-32 z^4 a^8+21 z^2 a^8-6 a^8+z^{11} a^7+2 z^9 a^7-26 z^7 a^7+57 z^5 a^7-44 z^3 a^7+13 z a^7+6 z^{10} a^6-26 z^8 a^6+39 z^6 a^6-30 z^4 a^6+18 z^2 a^6-6 a^6+z^{11} a^5+4 z^9 a^5-30 z^7 a^5+46 z^5 a^5-29 z^3 a^5+6 z a^5+3 z^{10} a^4-7 z^8 a^4-6 z^6 a^4+14 z^4 a^4-8 z^2 a^4+a^4+4 z^9 a^3-14 z^7 a^3+10 z^5 a^3-2 z^3 a^3+3 z^8 a^2-12 z^6 a^2+13 z^4 a^2-6 z^2 a^2+a^2+z^7 a-4 z^5 a+4 z^3 a-z a }[/math] |
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