K13n3585
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Polynomial invariants
| Jones polynomial | Data:K13n3585/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-21 t^2+35 t-41+35 t^{-1} -21 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3585/Conway Polynomial |
| Determinant | 171 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -4 z^6 a^{-8} +2 z^6 a^{-10} +8 z^4 a^{-6} -6 z^4 a^{-8} +6 z^4 a^{-10} -z^4 a^{-12} +10 z^2 a^{-6} -6 z^2 a^{-8} +5 z^2 a^{-10} -2 z^2 a^{-12} +4 a^{-6} -4 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +7 z^{10} a^{-10} +5 z^{10} a^{-12} +z^9 a^{-7} +5 z^9 a^{-9} +14 z^9 a^{-11} +10 z^9 a^{-13} -2 z^8 a^{-8} -8 z^8 a^{-10} +6 z^8 a^{-12} +12 z^8 a^{-14} +z^7 a^{-7} -10 z^7 a^{-9} -29 z^7 a^{-11} -9 z^7 a^{-13} +9 z^7 a^{-15} +3 z^6 a^{-6} +4 z^6 a^{-8} +3 z^6 a^{-10} -20 z^6 a^{-12} -18 z^6 a^{-14} +4 z^6 a^{-16} -5 z^5 a^{-7} +2 z^5 a^{-9} +18 z^5 a^{-11} -3 z^5 a^{-13} -13 z^5 a^{-15} +z^5 a^{-17} -10 z^4 a^{-6} -15 z^4 a^{-8} -12 z^4 a^{-10} +8 z^4 a^{-12} +11 z^4 a^{-14} -4 z^4 a^{-16} -2 z^3 a^{-9} -7 z^3 a^{-11} +4 z^3 a^{-13} +8 z^3 a^{-15} -z^3 a^{-17} +11 z^2 a^{-6} +14 z^2 a^{-8} +9 z^2 a^{-10} +2 z^2 a^{-12} -3 z^2 a^{-14} +z^2 a^{-16} +3 z a^{-7} +3 z a^{-9} +2 z a^{-11} -2 z a^{-15} -4 a^{-6} -4 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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