K13n819
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Polynomial invariants
| Jones polynomial | Data:K13n819/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-16 t^2+34 t-43+34 t^{-1} -16 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n819/Conway Polynomial |
| Determinant | 155 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +z^6-10 z^4 a^{-2} +z^4 a^{-4} +3 z^4-7 z^2 a^{-2} -z^2 a^{-4} +3 z^2 a^{-6} +4 z^2- a^{-2} -2 a^{-4} +3 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +5 z^{10} a^{-2} +7 z^{10} a^{-4} +2 z^{10} a^{-6} +9 z^9 a^{-1} +13 z^9 a^{-3} +5 z^9 a^{-5} +z^9 a^{-7} -11 z^8 a^{-4} -3 z^8 a^{-6} +8 z^8+4 a z^7-19 z^7 a^{-1} -37 z^7 a^{-3} -13 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-21 z^6 a^{-2} +7 z^6 a^{-4} +13 z^6 a^{-6} +4 z^6 a^{-8} -18 z^6-8 a z^5+12 z^5 a^{-1} +37 z^5 a^{-3} +19 z^5 a^{-5} +3 z^5 a^{-7} +z^5 a^{-9} -2 a^2 z^4+24 z^4 a^{-2} -2 z^4 a^{-4} -19 z^4 a^{-6} -7 z^4 a^{-8} +12 z^4+3 a z^3-7 z^3 a^{-1} -13 z^3 a^{-3} -9 z^3 a^{-5} -8 z^3 a^{-7} -2 z^3 a^{-9} +a^2 z^2-11 z^2 a^{-2} +6 z^2 a^{-4} +12 z^2 a^{-6} +3 z^2 a^{-8} -7 z^2+z a^{-1} +z a^{-3} +z a^{-5} +2 z a^{-7} +z a^{-9} + a^{-2} -2 a^{-4} -3 a^{-6} - a^{-8} +2 }[/math] |
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