K13n3529
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Polynomial invariants
| Jones polynomial | Data:K13n3529/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-8 t^2+12 t-13+12 t^{-1} -8 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3529/Conway Polynomial |
| Determinant | 63 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+4 a^2 z^4+4 z^4 a^{-2} -12 z^4+4 a^2 z^2+4 z^2 a^{-2} -8 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+3 z^{10} a^{-2} +5 z^{10}+2 a^3 z^9+z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-7 a^2 z^8-14 z^8 a^{-2} +z^8 a^{-4} -23 z^8-9 a^3 z^7-15 a z^7-22 z^7 a^{-1} -16 z^7 a^{-3} -5 a^4 z^6+3 a^2 z^6+18 z^6 a^{-2} -5 z^6 a^{-4} +31 z^6+11 a^3 z^5+23 a z^5+38 z^5 a^{-1} +26 z^5 a^{-3} +8 a^4 z^4+2 a^2 z^4-9 z^4 a^{-2} +7 z^4 a^{-4} -22 z^4+a^5 z^3-2 a^3 z^3-11 a z^3-22 z^3 a^{-1} -14 z^3 a^{-3} -3 a^4 z^2+a^2 z^2+3 z^2 a^{-2} -2 z^2 a^{-4} +9 z^2-a^5 z-2 a^3 z+2 z a^{-1} +z a^{-3} +1 }[/math] |
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