K13n2425
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Polynomial invariants
| Jones polynomial | Data:K13n2425/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t-11+7 t^{-1} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2425/Conway Polynomial |
| Determinant | 23 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -5 z^4 a^{-2} -z^4 a^{-4} -z^4 a^{-6} +z^4-5 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-8} +3 z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +3 z^{10} a^{-4} +z^{10} a^{-6} +2 z^9 a^{-1} -5 z^9 a^{-3} -6 z^9 a^{-5} +z^9 a^{-7} -12 z^8 a^{-2} -21 z^8 a^{-4} -5 z^8 a^{-6} +3 z^8 a^{-8} +z^8-12 z^7 a^{-1} +9 z^7 a^{-5} +3 z^7 a^{-9} +15 z^6 a^{-2} +40 z^6 a^{-4} +9 z^6 a^{-6} -9 z^6 a^{-8} +z^6 a^{-10} -6 z^6+18 z^5 a^{-1} +13 z^5 a^{-3} -4 z^5 a^{-5} -9 z^5 a^{-7} -10 z^5 a^{-9} +2 z^4 a^{-2} -25 z^4 a^{-4} -11 z^4 a^{-6} +3 z^4 a^{-8} -3 z^4 a^{-10} +10 z^4-8 z^3 a^{-1} -4 z^3 a^{-3} +2 z^3 a^{-5} +5 z^3 a^{-7} +7 z^3 a^{-9} -6 z^2 a^{-2} +8 z^2 a^{-4} +5 z^2 a^{-6} +2 z^2 a^{-10} -7 z^2-z a^{-3} -z a^{-5} -z a^{-7} -z a^{-9} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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