K13n358
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Polynomial invariants
| Jones polynomial | Data:K13n358/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+12 t^2-17 t+19-17 t^{-1} +12 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n358/Conway Polynomial |
| Determinant | 89 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -2 z^6 a^{-4} -a^2 z^4+8 z^4 a^{-2} -7 z^4 a^{-4} +z^4 a^{-6} +z^4-2 a^2 z^2+5 z^2 a^{-2} -6 z^2 a^{-4} +2 z^2 a^{-6} +3 z^2-a^2+ a^{-2} - a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +6 z^{10} a^{-2} +11 z^{10} a^{-4} +5 z^{10} a^{-6} +a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +4 z^9 a^{-5} +4 z^9 a^{-7} +2 a^2 z^8-29 z^8 a^{-2} -47 z^8 a^{-4} -19 z^8 a^{-6} +z^8 a^{-8} +a^3 z^7-8 a z^7-33 z^7 a^{-1} -55 z^7 a^{-3} -49 z^7 a^{-5} -18 z^7 a^{-7} -12 a^2 z^6+35 z^6 a^{-2} +52 z^6 a^{-4} +15 z^6 a^{-6} -4 z^6 a^{-8} -10 z^6-5 a^3 z^5+11 a z^5+60 z^5 a^{-1} +97 z^5 a^{-3} +78 z^5 a^{-5} +25 z^5 a^{-7} +16 a^2 z^4-11 z^4 a^{-2} -21 z^4 a^{-4} +z^4 a^{-6} +5 z^4 a^{-8} +22 z^4+5 a^3 z^3-4 a z^3-40 z^3 a^{-1} -64 z^3 a^{-3} -46 z^3 a^{-5} -13 z^3 a^{-7} -7 a^2 z^2+5 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2 a^{-8} -12 z^2-a^3 z+a z+9 z a^{-1} +15 z a^{-3} +10 z a^{-5} +2 z a^{-7} +a^2- a^{-2} - a^{-4} +2 }[/math] |
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