K13n3098
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Polynomial invariants
| Jones polynomial | Data:K13n3098/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+5 t-5+5 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3098/Conway Polynomial |
| Determinant | 23 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4-z^4 a^{-2} +z^4 a^{-4} +4 z^4-2 a^2 z^2-3 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +5 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} +4 z^{10} a^{-2} +z^{10} a^{-4} +3 z^{10}+4 a z^9-z^9 a^{-1} -4 z^9 a^{-3} +z^9 a^{-5} +3 a^2 z^8-23 z^8 a^{-2} -5 z^8 a^{-4} +2 z^8 a^{-6} -13 z^8+a^3 z^7-18 a z^7-18 z^7 a^{-1} -5 z^7 a^{-3} -5 z^7 a^{-5} +z^7 a^{-7} -13 a^2 z^6+29 z^6 a^{-2} -z^6 a^{-4} -11 z^6 a^{-6} +6 z^6-4 a^3 z^5+16 a z^5+33 z^5 a^{-1} +19 z^5 a^{-3} +z^5 a^{-5} -5 z^5 a^{-7} +12 a^2 z^4-z^4 a^{-2} +13 z^4 a^{-4} +14 z^4 a^{-6} +12 z^4+3 a^3 z^3-2 a z^3-14 z^3 a^{-1} -11 z^3 a^{-3} +4 z^3 a^{-5} +6 z^3 a^{-7} -5 a^2 z^2-9 z^2 a^{-2} -10 z^2 a^{-4} -6 z^2 a^{-6} -10 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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