K13n350
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Polynomial invariants
| Jones polynomial | Data:K13n350/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+15 t^2-23 t+27-23 t^{-1} +15 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n350/Conway Polynomial |
| Determinant | 117 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +4 z^6 a^{-4} -z^6 a^{-6} -2 z^4 a^{-2} +3 z^4 a^{-4} -2 z^4 a^{-6} +2 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} +4 a^{-2} -5 a^{-4} +2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-4} +3 z^{10} a^{-6} +7 z^9 a^{-3} +15 z^9 a^{-5} +8 z^9 a^{-7} +5 z^8 a^{-2} +5 z^8 a^{-4} +7 z^8 a^{-6} +7 z^8 a^{-8} +z^7 a^{-1} -21 z^7 a^{-3} -45 z^7 a^{-5} -21 z^7 a^{-7} +2 z^7 a^{-9} -16 z^6 a^{-2} -39 z^6 a^{-4} -40 z^6 a^{-6} -17 z^6 a^{-8} -2 z^5 a^{-1} +15 z^5 a^{-3} +39 z^5 a^{-5} +25 z^5 a^{-7} +3 z^5 a^{-9} +13 z^4 a^{-2} +33 z^4 a^{-4} +39 z^4 a^{-6} +24 z^4 a^{-8} +5 z^4 a^{-10} +z^3 a^{-1} -5 z^3 a^{-3} -23 z^3 a^{-5} -19 z^3 a^{-7} -z^3 a^{-9} +z^3 a^{-11} +2 z^2 a^{-2} -11 z^2 a^{-6} -11 z^2 a^{-8} -2 z^2 a^{-10} +4 z a^{-3} +10 z a^{-5} +7 z a^{-7} +z a^{-9} -4 a^{-2} -5 a^{-4} -2 a^{-6} }[/math] |
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