K13n1416
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Polynomial invariants
| Jones polynomial | Data:K13n1416/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+4 t^3-t^2-2 t+3-2 t^{-1} - t^{-2} +4 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n1416/Conway Polynomial |
| Determinant | 11 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+3 z^2 a^{10}+2 a^{10}-z^8 a^8-8 z^6 a^8-21 z^4 a^8-23 z^2 a^8-10 a^8+z^{10} a^6+9 z^8 a^6+30 z^6 a^6+48 z^4 a^6+38 z^2 a^6+12 a^6-z^8 a^4-7 z^6 a^4-15 z^4 a^4-11 z^2 a^4-3 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ -z a^{11}-2 z^4 a^{10}+4 z^2 a^{10}-2 a^{10}+z^9 a^9-8 z^7 a^9+20 z^5 a^9-22 z^3 a^9+9 z a^9+2 z^{10} a^8-16 z^8 a^8+44 z^6 a^8-58 z^4 a^8+39 z^2 a^8-10 a^8+z^{11} a^7-5 z^9 a^7-z^7 a^7+30 z^5 a^7-42 z^3 a^7+17 z a^7+4 z^{10} a^6-31 z^8 a^6+81 z^6 a^6-93 z^4 a^6+51 z^2 a^6-12 a^6+z^{11} a^5-5 z^9 a^5+25 z^5 a^5-31 z^3 a^5+10 z a^5+2 z^{10} a^4-15 z^8 a^4+37 z^6 a^4-37 z^4 a^4+16 z^2 a^4-3 a^4+z^9 a^3-7 z^7 a^3+15 z^5 a^3-11 z^3 a^3+3 z a^3 }[/math] |
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