K13n3514
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Polynomial invariants
| Jones polynomial | Data:K13n3514/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^2+13 t-15+13 t^{-1} -5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3514/Conway Polynomial |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+2 a^4-z^4 a^2-2 z^2 a^2-a^2-2 z^4-4 z^2-1-2 z^4 a^{-2} -4 z^2 a^{-2} - a^{-2} +2 z^2 a^{-4} +2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+2 z^{10} a^{-2} +3 z^{10}+a^3 z^9-6 a z^9-5 z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-4 a^2 z^8-11 z^8 a^{-2} +z^8 a^{-4} -17 z^8-5 a^3 z^7+18 a z^7+13 z^7 a^{-1} -10 z^7 a^{-3} -7 a^4 z^6+2 a^2 z^6+25 z^6 a^{-2} -4 z^6 a^{-4} +38 z^6+6 a^3 z^5-37 a z^5-23 z^5 a^{-1} +21 z^5 a^{-3} +z^5 a^{-5} +16 a^4 z^4+4 a^2 z^4-24 z^4 a^{-2} +10 z^4 a^{-4} -46 z^4+35 a z^3+18 z^3 a^{-1} -16 z^3 a^{-3} +z^3 a^{-5} -13 a^4 z^2-3 a^2 z^2+3 z^2 a^{-2} -7 z^2 a^{-4} +2 z^2 a^{-6} +22 z^2-a^3 z-9 a z-7 z a^{-1} +2 z a^{-3} +z a^{-5} +2 a^4+a^2+ a^{-2} +2 a^{-4} -1 }[/math] |
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