K13n2268
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Polynomial invariants
| Jones polynomial | Data:K13n2268/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-13 t^2+44 t-63+44 t^{-1} -13 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2268/Conway Polynomial |
| Determinant | 179 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+4 z^2 a^8+2 a^8-4 z^4 a^6-4 z^2 a^6-a^6+z^6 a^4+z^2 a^4-3 z^4 a^2-2 z^2 a^2+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-3 z^5 a^{11}+3 z^3 a^{11}-z a^{11}+4 z^8 a^{10}-12 z^6 a^{10}+11 z^4 a^{10}-4 z^2 a^{10}+a^{10}+7 z^9 a^9-19 z^7 a^9+12 z^5 a^9-2 z^3 a^9+z a^9+6 z^{10} a^8-8 z^8 a^8-15 z^6 a^8+22 z^4 a^8-10 z^2 a^8+2 a^8+2 z^{11} a^7+12 z^9 a^7-47 z^7 a^7+45 z^5 a^7-21 z^3 a^7+4 z a^7+12 z^{10} a^6-23 z^8 a^6+z^6 a^6+13 z^4 a^6-7 z^2 a^6+a^6+2 z^{11} a^5+12 z^9 a^5-41 z^7 a^5+44 z^5 a^5-20 z^3 a^5+3 z a^5+6 z^{10} a^4-7 z^8 a^4+2 z^6 a^4+3 z^4 a^4+7 z^9 a^3-13 z^7 a^3+19 z^5 a^3-10 z^3 a^3+2 z a^3+4 z^8 a^2-2 z^6 a^2+4 z^4 a^2-3 z^2 a^2+z^7 a+5 z^5 a-6 z^3 a+z a+3 z^4-4 z^2+1 }[/math] |
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