K13n3429
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Polynomial invariants
| Jones polynomial | Data:K13n3429/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+5 t^2-5 t+5-5 t^{-1} +5 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3429/Conway Polynomial |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -a^2 z^4+12 z^4 a^{-2} -4 z^4 a^{-4} -2 a^2 z^2+11 z^2 a^{-2} -5 z^2 a^{-4} -a^2+5 a^{-2} -3 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +a z^9+z^9 a^{-1} +3 z^9 a^{-3} +3 z^9 a^{-5} +2 a^2 z^8-5 z^8 a^{-2} +3 z^8 a^{-6} +a^3 z^7-6 a z^7-8 z^7 a^{-1} -12 z^7 a^{-3} -10 z^7 a^{-5} +z^7 a^{-7} -11 a^2 z^6+7 z^6 a^{-2} -11 z^6 a^{-4} -12 z^6 a^{-6} -5 z^6-5 a^3 z^5+5 a z^5+14 z^5 a^{-1} +11 z^5 a^{-3} +3 z^5 a^{-5} -4 z^5 a^{-7} +14 a^2 z^4-9 z^4 a^{-2} +7 z^4 a^{-4} +12 z^4 a^{-6} +10 z^4+6 a^3 z^3+4 a z^3-8 z^3 a^{-1} -7 z^3 a^{-3} +4 z^3 a^{-5} +5 z^3 a^{-7} -5 a^2 z^2+9 z^2 a^{-2} +4 z^2 a^{-4} -3 z^2 a^{-6} -3 z^2-2 a^3 z-2 a z+2 z a^{-1} +4 z a^{-3} -2 z a^{-7} +a^2-5 a^{-2} -3 a^{-4} }[/math] |
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