K13n2409
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Polynomial invariants
| Jones polynomial | Data:K13n2409/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-3 t^3-t^2+10 t-15+10 t^{-1} - t^{-2} -3 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2409/Conway Polynomial |
| Determinant | 27 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-10} +7 z^6 a^{-8} +7 z^6 a^{-10} -z^6 a^{-12} +15 z^4 a^{-8} +15 z^4 a^{-10} -9 z^4 a^{-12} +11 z^2 a^{-8} +15 z^2 a^{-10} -19 z^2 a^{-12} +4 z^2 a^{-14} + a^{-8} +8 a^{-10} -13 a^{-12} +6 a^{-14} - a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^{10} a^{-14} +z^{10} a^{-16} +z^9 a^{-9} +2 z^9 a^{-11} +2 z^9 a^{-13} +4 z^9 a^{-15} +3 z^9 a^{-17} +z^8 a^{-8} -7 z^8 a^{-10} -10 z^8 a^{-12} -6 z^8 a^{-14} -z^8 a^{-16} +3 z^8 a^{-18} -6 z^7 a^{-9} -16 z^7 a^{-11} -18 z^7 a^{-13} -23 z^7 a^{-15} -14 z^7 a^{-17} +z^7 a^{-19} -7 z^6 a^{-8} +16 z^6 a^{-10} +33 z^6 a^{-12} +13 z^6 a^{-14} -11 z^6 a^{-16} -14 z^6 a^{-18} +9 z^5 a^{-9} +37 z^5 a^{-11} +51 z^5 a^{-13} +45 z^5 a^{-15} +18 z^5 a^{-17} -4 z^5 a^{-19} +15 z^4 a^{-8} -22 z^4 a^{-10} -55 z^4 a^{-12} -18 z^4 a^{-14} +16 z^4 a^{-16} +16 z^4 a^{-18} -3 z^3 a^{-9} -34 z^3 a^{-11} -58 z^3 a^{-13} -40 z^3 a^{-15} -10 z^3 a^{-17} +3 z^3 a^{-19} -11 z^2 a^{-8} +22 z^2 a^{-10} +47 z^2 a^{-12} +14 z^2 a^{-14} -3 z^2 a^{-16} -3 z^2 a^{-18} +14 z a^{-11} +20 z a^{-13} +9 z a^{-15} +3 z a^{-17} + a^{-8} -8 a^{-10} -13 a^{-12} -6 a^{-14} - a^{-16} }[/math] |
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