K13n391
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Polynomial invariants
| Jones polynomial | Data:K13n391/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-5 t^2+8 t-9+8 t^{-1} -5 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n391/Conway Polynomial |
| Determinant | 43 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -7 z^6 a^{-4} +2 z^6 a^{-6} -17 z^4 a^{-4} +10 z^4 a^{-6} -z^4 a^{-8} +z^4-16 z^2 a^{-4} +15 z^2 a^{-6} -3 z^2 a^{-8} +3 z^2-5 a^{-4} +6 a^{-6} -2 a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^{10} a^{-8} +z^9 a^{-1} +z^9 a^{-3} -3 z^9 a^{-5} +z^9 a^{-7} +4 z^9 a^{-9} +z^8 a^{-2} -15 z^8 a^{-4} -30 z^8 a^{-6} -12 z^8 a^{-8} +3 z^8 a^{-10} +z^8-7 z^7 a^{-1} -9 z^7 a^{-3} -10 z^7 a^{-5} -27 z^7 a^{-7} -18 z^7 a^{-9} +z^7 a^{-11} -9 z^6 a^{-2} +35 z^6 a^{-4} +58 z^6 a^{-6} +8 z^6 a^{-8} -13 z^6 a^{-10} -7 z^6+14 z^5 a^{-1} +19 z^5 a^{-3} +36 z^5 a^{-5} +56 z^5 a^{-7} +21 z^5 a^{-9} -4 z^5 a^{-11} +17 z^4 a^{-2} -38 z^4 a^{-4} -52 z^4 a^{-6} +z^4 a^{-8} +13 z^4 a^{-10} +15 z^4-10 z^3 a^{-1} -15 z^3 a^{-3} -32 z^3 a^{-5} -42 z^3 a^{-7} -12 z^3 a^{-9} +3 z^3 a^{-11} -9 z^2 a^{-2} +23 z^2 a^{-4} +26 z^2 a^{-6} +z^2 a^{-8} -4 z^2 a^{-10} -11 z^2+2 z a^{-1} +5 z a^{-3} +9 z a^{-5} +10 z a^{-7} +4 z a^{-9} -5 a^{-4} -6 a^{-6} -2 a^{-8} +2 }[/math] |
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