K13n2220
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Polynomial invariants
| Jones polynomial | Data:K13n2220/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-8 t+9-8 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2220/Conway Polynomial |
| Determinant | 37 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-z^4 a^8-4 z^2 a^8-4 a^8+2 z^4 a^6+6 z^2 a^6+4 a^6-z^6 a^4-3 z^4 a^4-2 z^2 a^4-a^4+z^4 a^2+2 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-6 z^6 a^{12}+9 z^4 a^{12}-3 z^2 a^{12}+2 z^9 a^{11}-14 z^7 a^{11}+28 z^5 a^{11}-19 z^3 a^{11}+3 z a^{11}+z^{10} a^{10}-7 z^8 a^{10}+11 z^6 a^{10}-2 z^4 a^{10}-a^{10}+2 z^9 a^9-18 z^7 a^9+44 z^5 a^9-34 z^3 a^9+9 z a^9+z^{10} a^8-8 z^8 a^8+20 z^6 a^8-19 z^4 a^8+13 z^2 a^8-4 a^8+z^9 a^7-4 z^7 a^7+9 z^5 a^7-10 z^3 a^7+5 z a^7+3 z^8 a^6-4 z^6 a^6-9 z^4 a^6+12 z^2 a^6-4 a^6+z^9 a^5+3 z^7 a^5-16 z^5 a^5+11 z^3 a^5-2 z a^5+3 z^8 a^4-6 z^6 a^4-4 z^4 a^4+5 z^2 a^4-a^4+3 z^7 a^3-9 z^5 a^3+6 z^3 a^3-z a^3+z^6 a^2-3 z^4 a^2+3 z^2 a^2-a^2 }[/math] |
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