K13n122
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Polynomial invariants
| Jones polynomial | Data:K13n122/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+33 t-43+33 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n122/Conway Polynomial |
| Determinant | 139 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^6-2 z^4 a^4-z^2 a^4+a^4+z^6 a^2-3 z^2 a^2-2 a^2+z^6+2 z^4+3 z^2+2-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+7 a^2 z^{10}+4 z^{10}+3 a^5 z^9+8 a^3 z^9+11 a z^9+6 z^9 a^{-1} +a^6 z^8-3 a^4 z^8-11 a^2 z^8+4 z^8 a^{-2} -3 z^8-5 a^5 z^7-27 a^3 z^7-42 a z^7-19 z^7 a^{-1} +z^7 a^{-3} +3 a^6 z^6+2 a^4 z^6-9 a^2 z^6-14 z^6 a^{-2} -22 z^6+4 a^7 z^5+13 a^5 z^5+34 a^3 z^5+44 a z^5+16 z^5 a^{-1} -3 z^5 a^{-3} +a^8 z^4-a^6 z^4+3 a^4 z^4+21 a^2 z^4+14 z^4 a^{-2} +30 z^4-4 a^7 z^3-10 a^5 z^3-21 a^3 z^3-22 a z^3-5 z^3 a^{-1} +2 z^3 a^{-3} -a^8 z^2-3 a^4 z^2-13 a^2 z^2-4 z^2 a^{-2} -13 z^2+a^7 z+3 a^5 z+5 a^3 z+4 a z+z a^{-1} +a^4+2 a^2+2 }[/math] |
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