K13n1642
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Polynomial invariants
| Jones polynomial | Data:K13n1642/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-7 t^2+11 t-13+11 t^{-1} -7 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1642/Conway Polynomial |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -6 z^6 a^{-4} +z^6 a^{-6} +4 z^4 a^{-2} -12 z^4 a^{-4} +5 z^4 a^{-6} +5 z^2 a^{-2} -9 z^2 a^{-4} +8 z^2 a^{-6} -z^2 a^{-8} +2 a^{-2} -3 a^{-4} +4 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +3 z^9 a^{-5} +2 z^9 a^{-7} -4 z^8 a^{-4} -3 z^8 a^{-6} +z^8 a^{-8} -2 z^7 a^{-3} -10 z^7 a^{-5} -8 z^7 a^{-7} +5 z^6 a^{-2} +15 z^6 a^{-4} +10 z^6 a^{-6} +3 z^5 a^{-1} +8 z^5 a^{-3} +20 z^5 a^{-5} +18 z^5 a^{-7} +3 z^5 a^{-9} -8 z^4 a^{-2} -20 z^4 a^{-4} -18 z^4 a^{-6} -7 z^4 a^{-8} +z^4-4 z^3 a^{-1} -8 z^3 a^{-3} -17 z^3 a^{-5} -22 z^3 a^{-7} -9 z^3 a^{-9} +5 z^2 a^{-2} +13 z^2 a^{-4} +14 z^2 a^{-6} +7 z^2 a^{-8} -z^2+z a^{-1} +3 z a^{-3} +5 z a^{-5} +8 z a^{-7} +5 z a^{-9} -2 a^{-2} -3 a^{-4} -4 a^{-6} -2 a^{-8} }[/math] |
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