K13n2428
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Polynomial invariants
| Jones polynomial | Data:K13n2428/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-8 t^2+7 t-5+7 t^{-1} -8 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2428/Conway Polynomial |
| Determinant | 47 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +10 z^4 a^{-6} -13 z^4 a^{-8} +5 z^4 a^{-10} +14 z^2 a^{-6} -15 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} +6 a^{-6} -7 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +3 z^9 a^{-9} +2 z^9 a^{-11} -4 z^8 a^{-8} -3 z^8 a^{-10} +z^8 a^{-12} -3 z^7 a^{-7} -11 z^7 a^{-9} -8 z^7 a^{-11} +3 z^6 a^{-6} +11 z^6 a^{-8} +6 z^6 a^{-10} -2 z^6 a^{-12} +3 z^5 a^{-7} +15 z^5 a^{-9} +13 z^5 a^{-11} +z^5 a^{-13} -13 z^4 a^{-6} -26 z^4 a^{-8} -10 z^4 a^{-10} +3 z^4 a^{-12} -7 z^3 a^{-7} -15 z^3 a^{-9} -5 z^3 a^{-11} +3 z^3 a^{-13} +16 z^2 a^{-6} +23 z^2 a^{-8} +6 z^2 a^{-10} +z^2 a^{-12} +2 z^2 a^{-14} +6 z a^{-7} +6 z a^{-9} -2 z a^{-11} -2 z a^{-13} -6 a^{-6} -7 a^{-8} -2 a^{-10} }[/math] |
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