K13n4737
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Polynomial invariants
| Jones polynomial | Data:K13n4737/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3-2 t^2+2 t-1+2 t^{-1} -2 t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4737/Conway Polynomial |
| Determinant | 15 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -7 z^6 a^{-2} +z^6-16 z^4 a^{-2} +z^4 a^{-6} +5 z^4-13 z^2 a^{-2} -z^2 a^{-4} +3 z^2 a^{-6} +7 z^2-2 a^{-2} -2 a^{-4} +2 a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-1} +z^9 a^{-7} +2 z^8 a^{-2} +z^8 a^{-6} +z^8 a^{-8} +2 z^8+2 a z^7-4 z^7 a^{-1} +z^7 a^{-3} -7 z^7 a^{-7} +a^2 z^6-11 z^6 a^{-2} -z^6 a^{-4} -7 z^6 a^{-6} -7 z^6 a^{-8} -9 z^6-8 a z^5+4 z^5 a^{-1} -6 z^5 a^{-3} -3 z^5 a^{-5} +15 z^5 a^{-7} -4 a^2 z^4+20 z^4 a^{-2} +11 z^4 a^{-6} +15 z^4 a^{-8} +12 z^4+6 a z^3-2 z^3 a^{-1} +9 z^3 a^{-3} +5 z^3 a^{-5} -12 z^3 a^{-7} +3 a^2 z^2-15 z^2 a^{-2} +5 z^2 a^{-4} -2 z^2 a^{-6} -10 z^2 a^{-8} -9 z^2-z a^{-1} -3 z a^{-3} +z a^{-5} +3 z a^{-7} +2 a^{-2} -2 a^{-4} -2 a^{-6} +3 }[/math] |
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