K13n1800
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Polynomial invariants
| Jones polynomial | Data:K13n1800/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-35 t+47-35 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1800/Conway Polynomial |
| Determinant | 149 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+z^2 a^6-z^6 a^4-2 z^4 a^4-3 z^2 a^4-2 a^4-z^6 a^2+3 z^2 a^2+3 a^2+3 z^4+4 z^2+1-2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+12 a^4 z^{10}+7 a^2 z^{10}+4 a^7 z^9+6 a^5 z^9+12 a^3 z^9+10 a z^9+a^8 z^8-18 a^6 z^8-39 a^4 z^8-12 a^2 z^8+8 z^8-18 a^7 z^7-50 a^5 z^7-61 a^3 z^7-25 a z^7+4 z^7 a^{-1} -4 a^8 z^6+14 a^6 z^6+29 a^4 z^6-3 a^2 z^6+z^6 a^{-2} -13 z^6+26 a^7 z^5+75 a^5 z^5+77 a^3 z^5+29 a z^5+z^5 a^{-1} +5 a^8 z^4+4 a^6 z^4-4 a^4 z^4+2 a^2 z^4+6 z^4 a^{-2} +11 z^4-13 a^7 z^3-39 a^5 z^3-47 a^3 z^3-26 a z^3-2 z^3 a^{-1} +3 z^3 a^{-3} -2 a^8 z^2-3 a^6 z^2+4 a^4 z^2+3 a^2 z^2-4 z^2 a^{-2} -6 z^2+a^7 z+8 a^5 z+13 a^3 z+8 a z+z a^{-1} -z a^{-3} -2 a^4-3 a^2+ a^{-2} +1 }[/math] |
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