K13n2999
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Polynomial invariants
| Jones polynomial | Data:K13n2999/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-2 t^3-2 t^2+7 t-9+7 t^{-1} -2 t^{-2} -2 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n2999/Conway Polynomial |
| Determinant | 15 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -29 z^6 a^{-8} +8 z^6 a^{-10} +21 z^4 a^{-6} -43 z^4 a^{-8} +19 z^4 a^{-10} -z^4 a^{-12} +21 z^2 a^{-6} -30 z^2 a^{-8} +15 z^2 a^{-10} -2 z^2 a^{-12} +6 a^{-6} -7 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +3 z^{10} a^{-8} +2 z^{10} a^{-10} -8 z^9 a^{-7} -7 z^9 a^{-9} +z^9 a^{-11} -9 z^8 a^{-6} -26 z^8 a^{-8} -17 z^8 a^{-10} +20 z^7 a^{-7} +11 z^7 a^{-9} -8 z^7 a^{-11} +z^7 a^{-13} +29 z^6 a^{-6} +75 z^6 a^{-8} +46 z^6 a^{-10} +2 z^6 a^{-12} +2 z^6 a^{-14} -16 z^5 a^{-7} +6 z^5 a^{-9} +20 z^5 a^{-11} +2 z^5 a^{-15} -42 z^4 a^{-6} -89 z^4 a^{-8} -46 z^4 a^{-10} -3 z^4 a^{-12} -3 z^4 a^{-14} +z^4 a^{-16} -2 z^3 a^{-7} -17 z^3 a^{-9} -13 z^3 a^{-11} -2 z^3 a^{-13} -4 z^3 a^{-15} +27 z^2 a^{-6} +43 z^2 a^{-8} +16 z^2 a^{-10} +3 z^2 a^{-12} +z^2 a^{-14} -2 z^2 a^{-16} +5 z a^{-7} +5 z a^{-9} +z a^{-11} +3 z a^{-13} +2 z a^{-15} -6 a^{-6} -7 a^{-8} -2 a^{-10} }[/math] |
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