K13n346
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Polynomial invariants
| Jones polynomial | Data:K13n346/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-25 t^2+47 t-57+47 t^{-1} -25 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n346/Conway Polynomial |
| Determinant | 219 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -3 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-z^4 a^{-2} +5 z^4-2 a^2 z^2+6 z^2 a^{-2} -5 z^2 a^{-4} +z^2 a^{-6} +3 z^2-a^2+6 a^{-2} -5 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +15 z^{10} a^{-2} +8 z^{10} a^{-4} +7 z^{10}+8 a z^9+22 z^9 a^{-1} +25 z^9 a^{-3} +11 z^9 a^{-5} +4 a^2 z^8-15 z^8 a^{-2} +6 z^8 a^{-6} -5 z^8+a^3 z^7-21 a z^7-73 z^7 a^{-1} -72 z^7 a^{-3} -20 z^7 a^{-5} +z^7 a^{-7} -11 a^2 z^6-31 z^6 a^{-2} -19 z^6 a^{-4} -2 z^6 a^{-6} -25 z^6-3 a^3 z^5+18 a z^5+70 z^5 a^{-1} +75 z^5 a^{-3} +35 z^5 a^{-5} +9 z^5 a^{-7} +11 a^2 z^4+31 z^4 a^{-2} +15 z^4 a^{-4} +6 z^4 a^{-6} +3 z^4 a^{-8} +30 z^4+3 a^3 z^3-7 a z^3-37 z^3 a^{-1} -51 z^3 a^{-3} -33 z^3 a^{-5} -9 z^3 a^{-7} -5 a^2 z^2-z^2 a^{-2} +2 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} -9 z^2-a^3 z+2 a z+11 z a^{-1} +18 z a^{-3} +13 z a^{-5} +3 z a^{-7} +a^2-6 a^{-2} -5 a^{-4} - a^{-6} }[/math] |
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