K13n351
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Polynomial invariants
| Jones polynomial | Data:K13n351/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+20 t^2-35 t+43-35 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n351/Conway Polynomial |
| Determinant | 169 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +4 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+5 z^4 a^{-2} -2 z^4 a^{-4} -6 z^4+2 a^2 z^2+z^2 a^{-2} -5 z^2+a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +12 z^{10} a^{-2} +7 z^{10} a^{-4} +5 z^{10}+4 a z^9+9 z^9 a^{-1} +14 z^9 a^{-3} +9 z^9 a^{-5} +a^2 z^8-26 z^8 a^{-2} -10 z^8 a^{-4} +5 z^8 a^{-6} -10 z^8-8 a z^7-38 z^7 a^{-1} -57 z^7 a^{-3} -26 z^7 a^{-5} +z^7 a^{-7} +4 a^2 z^6+5 z^6 a^{-2} -18 z^6 a^{-4} -14 z^6 a^{-6} +13 z^6+4 a^3 z^5+18 a z^5+49 z^5 a^{-1} +55 z^5 a^{-3} +18 z^5 a^{-5} -2 z^5 a^{-7} +a^4 z^4-3 a^2 z^4+13 z^4 a^{-2} +24 z^4 a^{-4} +10 z^4 a^{-6} -5 z^4-4 a^3 z^3-12 a z^3-26 z^3 a^{-1} -22 z^3 a^{-3} -3 z^3 a^{-5} +z^3 a^{-7} -a^4 z^2+2 a^2 z^2-8 z^2 a^{-2} -8 z^2 a^{-4} -z^2 a^{-6} +2 z^2+a^3 z+3 a z+5 z a^{-1} +3 z a^{-3} -a^2+ a^{-2} + a^{-4} }[/math] |
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