K13n312
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Polynomial invariants
| Jones polynomial | Data:K13n312/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-6 t^2+11 t-13+11 t^{-1} -6 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n312/Conway Polynomial |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-6} -z^4 a^{-4} +10 z^4 a^{-6} -3 z^4 a^{-8} -2 z^2 a^{-4} +16 z^2 a^{-6} -10 z^2 a^{-8} +z^2 a^{-10} - a^{-4} +8 a^{-6} -8 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^9 a^{-5} +2 z^9 a^{-7} +3 z^9 a^{-9} +3 z^9 a^{-11} -17 z^8 a^{-6} -31 z^8 a^{-8} -13 z^8 a^{-10} +z^8 a^{-12} -13 z^7 a^{-5} -36 z^7 a^{-7} -39 z^7 a^{-9} -16 z^7 a^{-11} +29 z^6 a^{-6} +44 z^6 a^{-8} +10 z^6 a^{-10} -5 z^6 a^{-12} +26 z^5 a^{-5} +78 z^5 a^{-7} +78 z^5 a^{-9} +26 z^5 a^{-11} -3 z^4 a^{-4} -27 z^4 a^{-6} -27 z^4 a^{-8} +4 z^4 a^{-10} +7 z^4 a^{-12} -2 z^3 a^{-3} -25 z^3 a^{-5} -66 z^3 a^{-7} -61 z^3 a^{-9} -18 z^3 a^{-11} +3 z^2 a^{-4} +19 z^2 a^{-6} +17 z^2 a^{-8} -2 z^2 a^{-10} -3 z^2 a^{-12} +2 z a^{-3} +9 z a^{-5} +22 z a^{-7} +20 z a^{-9} +5 z a^{-11} - a^{-4} -8 a^{-6} -8 a^{-8} -2 a^{-10} }[/math] |
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