K13n293
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Polynomial invariants
| Jones polynomial | Data:K13n293/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t-1+ t^{-1} }[/math] |
| Conway polynomial | Data:K13n293/Conway Polynomial |
| Determinant | 3 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} -z^6 a^{-4} +6 z^4 a^{-2} -6 z^4 a^{-4} +z^4 a^{-6} -z^4+12 z^2 a^{-2} -11 z^2 a^{-4} +3 z^2 a^{-6} -3 z^2+8 a^{-2} -7 a^{-4} +2 a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +3 z^9 a^{-5} +2 z^9 a^{-7} -z^8 a^{-2} -7 z^8 a^{-4} -5 z^8 a^{-6} +z^8 a^{-8} -9 z^7 a^{-3} -22 z^7 a^{-5} -13 z^7 a^{-7} +8 z^6 a^{-2} +14 z^6 a^{-4} +2 z^6 a^{-6} -6 z^6 a^{-8} +2 z^6+a z^5+4 z^5 a^{-1} +26 z^5 a^{-3} +48 z^5 a^{-5} +25 z^5 a^{-7} -20 z^4 a^{-2} -14 z^4 a^{-4} +9 z^4 a^{-6} +10 z^4 a^{-8} -7 z^4-3 a z^3-13 z^3 a^{-1} -32 z^3 a^{-3} -40 z^3 a^{-5} -18 z^3 a^{-7} +18 z^2 a^{-2} +14 z^2 a^{-4} -3 z^2 a^{-6} -5 z^2 a^{-8} +6 z^2+2 a z+7 z a^{-1} +14 z a^{-3} +14 z a^{-5} +5 z a^{-7} -8 a^{-2} -7 a^{-4} -2 a^{-6} -2 }[/math] |
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