K13n239
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Polynomial invariants
| Jones polynomial | Data:K13n239/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+15 t^2-27 t+33-27 t^{-1} +15 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n239/Conway Polynomial |
| Determinant | 129 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-2 z^6-4 a^4 z^4+16 a^2 z^4+z^4 a^{-2} -8 z^4-7 a^4 z^2+21 a^2 z^2+2 z^2 a^{-2} -12 z^2-5 a^4+11 a^2+ a^{-2} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+7 a^2 z^{10}+3 z^{10}+5 a^5 z^9+9 a^3 z^9+7 a z^9+3 z^9 a^{-1} +3 a^6 z^8-8 a^4 z^8-18 a^2 z^8+z^8 a^{-2} -6 z^8+a^7 z^7-16 a^5 z^7-39 a^3 z^7-30 a z^7-8 z^7 a^{-1} -10 a^6 z^6+20 a^2 z^6+2 z^6 a^{-2} +12 z^6-4 a^7 z^5+15 a^5 z^5+53 a^3 z^5+53 a z^5+23 z^5 a^{-1} +4 z^5 a^{-3} +9 a^6 z^4-5 a^4 z^4-26 a^2 z^4+z^4 a^{-4} -13 z^4+5 a^7 z^3-9 a^5 z^3-43 a^3 z^3-48 a z^3-24 z^3 a^{-1} -5 z^3 a^{-3} -2 a^6 z^2+11 a^4 z^2+25 a^2 z^2-z^2 a^{-4} +13 z^2-2 a^7 z+4 a^5 z+16 a^3 z+18 a z+10 z a^{-1} +2 z a^{-3} -5 a^4-11 a^2- a^{-2} -6 }[/math] |
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