K13n1353
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Polynomial invariants
| Jones polynomial | Data:K13n1353/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+20 t-25+20 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1353/Conway Polynomial |
| Determinant | 87 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +3 z^4-2 a^2 z^2+4 z^2-a^2-2 a^{-2} +2 a^{-4} - a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +2 z^{10} a^{-4} +3 z^{10}+4 a z^9+3 z^9 a^{-1} +z^9 a^{-5} +3 a^2 z^8-18 z^8 a^{-2} -8 z^8 a^{-4} -7 z^8+a^3 z^7-14 a z^7-22 z^7 a^{-1} -10 z^7 a^{-3} -3 z^7 a^{-5} -12 a^2 z^6+18 z^6 a^{-2} +13 z^6 a^{-4} +z^6 a^{-6} -6 z^6-4 a^3 z^5+10 a z^5+27 z^5 a^{-1} +19 z^5 a^{-3} +6 z^5 a^{-5} +13 a^2 z^4-z^4 a^{-2} -2 z^4 a^{-4} +2 z^4 a^{-6} +16 z^4+4 a^3 z^3-a z^3-11 z^3 a^{-1} -8 z^3 a^{-3} +2 z^3 a^{-7} -6 a^2 z^2-6 z^2 a^{-2} -5 z^2 a^{-4} -4 z^2 a^{-6} -11 z^2-a^3 z-a z+z a^{-1} +z a^{-3} -2 z a^{-5} -2 z a^{-7} +a^2+2 a^{-2} +2 a^{-4} + a^{-6} +3 }[/math] |
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