K13n2659
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Polynomial invariants
| Jones polynomial | Data:K13n2659/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+23 t^2-46 t+59-46 t^{-1} +23 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2659/Conway Polynomial |
| Determinant | 213 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +4 z^6+a^4 z^4-6 a^2 z^4-z^4 a^{-2} +7 z^4+2 a^4 z^2-7 a^2 z^2-z^2 a^{-4} +5 z^2+a^4-2 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+5 z^{10} a^{-2} +12 z^{10}+10 a^3 z^9+18 a z^9+12 z^9 a^{-1} +4 z^9 a^{-3} +8 a^4 z^8+2 a^2 z^8+z^8 a^{-4} -7 z^8+4 a^5 z^7-15 a^3 z^7-40 a z^7-18 z^7 a^{-1} +3 z^7 a^{-3} +a^6 z^6-15 a^4 z^6-27 a^2 z^6-z^6 a^{-2} +8 z^6 a^{-4} -20 z^6-8 a^5 z^5+4 a^3 z^5+22 a z^5-3 z^5 a^{-1} -10 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+10 a^4 z^4+29 a^2 z^4-8 z^4 a^{-2} -13 z^4 a^{-4} +22 z^4+5 a^5 z^3+3 a^3 z^3+a z^3+11 z^3 a^{-1} +5 z^3 a^{-3} -3 z^3 a^{-5} +a^6 z^2-4 a^4 z^2-14 a^2 z^2+4 z^2 a^{-2} +4 z^2 a^{-4} -9 z^2-a^5 z-2 a^3 z-3 a z-3 z a^{-1} -z a^{-3} +a^4+2 a^2+2 }[/math] |
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