K13n3605
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Polynomial invariants
| Jones polynomial | Data:K13n3605/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t+13-7 t^{-1} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3605/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4+z^4 a^{-2} +z^4 a^{-4} +5 z^4-3 a^2 z^2+z^2 a^{-2} -z^2 a^{-6} +5 z^2-a^2+ a^{-2} - a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +z^{10} a^{-4} +z^{10}+2 a z^9+4 z^9 a^{-1} +5 z^9 a^{-3} +3 z^9 a^{-5} +2 a^2 z^8-10 z^8 a^{-2} +3 z^8 a^{-6} -5 z^8+a^3 z^7-12 a z^7-27 z^7 a^{-1} -27 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} -11 a^2 z^6+7 z^6 a^{-2} -16 z^6 a^{-4} -13 z^6 a^{-6} -z^6-5 a^3 z^5+16 a z^5+46 z^5 a^{-1} +38 z^5 a^{-3} +9 z^5 a^{-5} -4 z^5 a^{-7} +14 a^2 z^4+5 z^4 a^{-2} +19 z^4 a^{-4} +14 z^4 a^{-6} +14 z^4+5 a^3 z^3-6 a z^3-24 z^3 a^{-1} -19 z^3 a^{-3} -2 z^3 a^{-5} +4 z^3 a^{-7} -7 a^2 z^2-z^2 a^{-2} -4 z^2 a^{-4} -5 z^2 a^{-6} -9 z^2-a^3 z+3 z a^{-1} +3 z a^{-3} -z a^{-7} +a^2- a^{-2} - a^{-4} +2 }[/math] |
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