K13n1247
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Polynomial invariants
| Jones polynomial | Data:K13n1247/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+38 t-45+38 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1247/Conway Polynomial |
| Determinant | 179 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +7 z^4-3 a^2 z^2-4 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} +9 z^2-2 a^2- a^{-2} -2 a^{-4} + a^{-6} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +12 z^{10} a^{-2} +7 z^{10} a^{-4} +5 z^{10}+5 a z^9+9 z^9 a^{-1} +13 z^9 a^{-3} +9 z^9 a^{-5} +3 a^2 z^8-26 z^8 a^{-2} -10 z^8 a^{-4} +5 z^8 a^{-6} -8 z^8+a^3 z^7-13 a z^7-36 z^7 a^{-1} -43 z^7 a^{-3} -20 z^7 a^{-5} +z^7 a^{-7} -10 a^2 z^6+17 z^6 a^{-2} +9 z^6 a^{-4} -3 z^6 a^{-6} -5 z^6-4 a^3 z^5+7 a z^5+34 z^5 a^{-1} +48 z^5 a^{-3} +32 z^5 a^{-5} +7 z^5 a^{-7} +11 a^2 z^4-9 z^4 a^{-2} -8 z^4 a^{-4} +4 z^4 a^{-6} +3 z^4 a^{-8} +11 z^4+5 a^3 z^3+3 a z^3-14 z^3 a^{-1} -26 z^3 a^{-3} -23 z^3 a^{-5} -9 z^3 a^{-7} -6 a^2 z^2+z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} -3 z^2 a^{-8} -10 z^2-2 a^3 z-3 a z+5 z a^{-3} +7 z a^{-5} +3 z a^{-7} +2 a^2+ a^{-2} -2 a^{-4} - a^{-6} +5 }[/math] |
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