K13n1825
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Polynomial invariants
| Jones polynomial | Data:K13n1825/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+10 t^2-14 t+15-14 t^{-1} +10 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1825/Conway Polynomial |
| Determinant | 69 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6 a^{-4} -3 z^4 a^{-2} -8 z^4 a^{-4} +2 z^4 a^{-6} +z^4-2 z^2 a^{-2} -8 z^2 a^{-4} +6 z^2 a^{-6} +3 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} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -z^9 a^{-3} -2 z^9 a^{-5} +z^9 a^{-7} -7 z^8 a^{-2} -16 z^8 a^{-4} -8 z^8 a^{-6} +z^8-10 z^7 a^{-1} -7 z^7 a^{-3} +2 z^7 a^{-5} -z^7 a^{-7} +z^6 a^{-2} +21 z^6 a^{-4} +16 z^6 a^{-6} +2 z^6 a^{-8} -6 z^6+15 z^5 a^{-1} +6 z^5 a^{-3} -11 z^5 a^{-5} -2 z^5 a^{-7} +12 z^4 a^{-2} -21 z^4 a^{-4} -23 z^4 a^{-6} -2 z^4 a^{-8} +12 z^4-7 z^3 a^{-1} +2 z^3 a^{-3} +9 z^3 a^{-5} +3 z^3 a^{-7} +3 z^3 a^{-9} -8 z^2 a^{-2} +12 z^2 a^{-4} +13 z^2 a^{-6} +3 z^2 a^{-8} +z^2 a^{-10} -9 z^2+z a^{-1} -2 z a^{-5} -z a^{-7} + a^{-2} -2 a^{-4} -3 a^{-6} - a^{-8} +2 }[/math] |
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