K13n1195
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Polynomial invariants
| Jones polynomial | Data:K13n1195/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-8 t^3+10 t^2-6 t+3-6 t^{-1} +10 t^{-2} -8 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1195/Conway Polynomial |
| Determinant | 57 |
| 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} -3 z^6 a^{-12} +11 z^4 a^{-8} +28 z^4 a^{-10} -18 z^4 a^{-12} +z^4 a^{-14} +7 z^2 a^{-8} +26 z^2 a^{-10} -30 z^2 a^{-12} +7 z^2 a^{-14} + a^{-8} +9 a^{-10} -15 a^{-12} +7 a^{-14} - a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +6 z^{10} a^{-12} +3 z^{10} a^{-14} +2 z^9 a^{-9} +z^9 a^{-11} +2 z^9 a^{-13} +3 z^9 a^{-15} +z^8 a^{-8} -17 z^8 a^{-10} -34 z^8 a^{-12} -15 z^8 a^{-14} +z^8 a^{-16} -10 z^7 a^{-9} -27 z^7 a^{-11} -34 z^7 a^{-13} -17 z^7 a^{-15} -6 z^6 a^{-8} +34 z^6 a^{-10} +68 z^6 a^{-12} +23 z^6 a^{-14} -5 z^6 a^{-16} +13 z^5 a^{-9} +59 z^5 a^{-11} +78 z^5 a^{-13} +32 z^5 a^{-15} +11 z^4 a^{-8} -40 z^4 a^{-10} -77 z^4 a^{-12} -19 z^4 a^{-14} +7 z^4 a^{-16} -4 z^3 a^{-9} -51 z^3 a^{-11} -73 z^3 a^{-13} -26 z^3 a^{-15} -7 z^2 a^{-8} +29 z^2 a^{-10} +51 z^2 a^{-12} +14 z^2 a^{-14} -z^2 a^{-16} +17 z a^{-11} +25 z a^{-13} +9 z a^{-15} +z a^{-17} + a^{-8} -9 a^{-10} -15 a^{-12} -7 a^{-14} - a^{-16} }[/math] |
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