K13n1587
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Polynomial invariants
| Jones polynomial | Data:K13n1587/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^2+19 t-27+19 t^{-1} -5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1587/Conway Polynomial |
| Determinant | 75 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-4} -3 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} +z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} +z^2 a^{-10} +2 a^{-2} + a^{-4} -4 a^{-6} +2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +5 z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^9 a^{-5} +z^9 a^{-7} +2 z^9 a^{-9} +3 z^9 a^{-11} +z^8 a^{-4} -4 z^8 a^{-6} -18 z^8 a^{-8} -12 z^8 a^{-10} +z^8 a^{-12} -7 z^7 a^{-5} -14 z^7 a^{-7} -22 z^7 a^{-9} -15 z^7 a^{-11} -4 z^6 a^{-4} -9 z^6 a^{-6} +10 z^6 a^{-8} +10 z^6 a^{-10} -5 z^6 a^{-12} +z^5 a^{-3} +8 z^5 a^{-5} +10 z^5 a^{-7} +26 z^5 a^{-9} +23 z^5 a^{-11} +9 z^4 a^{-4} +23 z^4 a^{-6} +7 z^4 a^{-8} +z^4 a^{-10} +8 z^4 a^{-12} -z^3 a^{-3} -4 z^3 a^{-5} +5 z^3 a^{-7} -4 z^3 a^{-9} -12 z^3 a^{-11} +2 z^2 a^{-2} -7 z^2 a^{-4} -18 z^2 a^{-6} -6 z^2 a^{-8} -z^2 a^{-10} -4 z^2 a^{-12} +2 z a^{-3} +z a^{-5} -4 z a^{-7} -2 z a^{-9} +z a^{-11} -2 a^{-2} + a^{-4} +4 a^{-6} +2 a^{-8} }[/math] |
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