K13n1982
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Polynomial invariants
| Jones polynomial | Data:K13n1982/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-33 t+41-33 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1982/Conway Polynomial |
| Determinant | 157 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-2 z^6-3 a^4 z^4+10 a^2 z^4+z^4 a^{-2} -6 z^4-3 a^4 z^2+8 a^2 z^2+z^2 a^{-2} -5 z^2-a^4+2 a^2 }[/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}+6 a^5 z^9+12 a^3 z^9+9 a z^9+3 z^9 a^{-1} +4 a^6 z^8-4 a^2 z^8+z^8 a^{-2} +z^8+a^7 z^7-16 a^5 z^7-34 a^3 z^7-16 a z^7+z^7 a^{-1} -13 a^6 z^6-26 a^4 z^6-18 a^2 z^6+7 z^6 a^{-2} +2 z^6-3 a^7 z^5+8 a^5 z^5+16 a^3 z^5+3 a z^5+3 z^5 a^{-1} +5 z^5 a^{-3} +13 a^6 z^4+26 a^4 z^4+9 a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} -10 z^4+3 a^7 z^3+4 a^5 z^3+4 a^3 z^3+a z^3-4 z^3 a^{-1} -2 z^3 a^{-3} -4 a^6 z^2-4 a^4 z^2+4 a^2 z^2+z^2 a^{-2} +5 z^2-a^7 z-2 a^5 z-2 a^3 z-a z-a^4-2 a^2 }[/math] |
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