K13n3111
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Polynomial invariants
| Jones polynomial | Data:K13n3111/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-7 t^3+7 t^2-2 t-1-2 t^{-1} +7 t^{-2} -7 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3111/Conway Polynomial |
| Determinant | 37 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +2 z^8 a^{-10} +6 z^6 a^{-8} +13 z^6 a^{-10} -2 z^6 a^{-12} +11 z^4 a^{-8} +26 z^4 a^{-10} -12 z^4 a^{-12} +8 z^2 a^{-8} +19 z^2 a^{-10} -18 z^2 a^{-12} +2 z^2 a^{-14} +2 a^{-8} +4 a^{-10} -7 a^{-12} +2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +5 z^{10} a^{-12} +2 z^{10} a^{-14} +2 z^9 a^{-9} -z^9 a^{-13} +z^9 a^{-15} +z^8 a^{-8} -17 z^8 a^{-10} -29 z^8 a^{-12} -11 z^8 a^{-14} -10 z^7 a^{-9} -24 z^7 a^{-11} -20 z^7 a^{-13} -6 z^7 a^{-15} -6 z^6 a^{-8} +30 z^6 a^{-10} +51 z^6 a^{-12} +15 z^6 a^{-14} +12 z^5 a^{-9} +52 z^5 a^{-11} +49 z^5 a^{-13} +9 z^5 a^{-15} +11 z^4 a^{-8} -28 z^4 a^{-10} -44 z^4 a^{-12} -7 z^4 a^{-14} -2 z^4 a^{-16} -3 z^3 a^{-9} -37 z^3 a^{-11} -40 z^3 a^{-13} -7 z^3 a^{-15} -z^3 a^{-17} -8 z^2 a^{-8} +17 z^2 a^{-10} +26 z^2 a^{-12} +2 z^2 a^{-14} +z^2 a^{-16} -z a^{-9} +9 z a^{-11} +11 z a^{-13} +2 z a^{-15} +z a^{-17} +2 a^{-8} -4 a^{-10} -7 a^{-12} -2 a^{-14} }[/math] |
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