K13n2309
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Polynomial invariants
| Jones polynomial | Data:K13n2309/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+15 t^2-37 t+49-37 t^{-1} +15 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2309/Conway Polynomial |
| Determinant | 157 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-8} +z^4 a^{-4} +5 z^4 a^{-6} -6 z^4 a^{-8} +3 z^4 a^{-10} +z^2 a^{-4} +10 z^2 a^{-6} -9 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-9} +2 z^{11} a^{-11} +4 z^{10} a^{-8} +11 z^{10} a^{-10} +7 z^{10} a^{-12} +2 z^9 a^{-7} +4 z^9 a^{-9} +11 z^9 a^{-11} +9 z^9 a^{-13} -10 z^8 a^{-8} -28 z^8 a^{-10} -13 z^8 a^{-12} +5 z^8 a^{-14} -19 z^7 a^{-9} -47 z^7 a^{-11} -27 z^7 a^{-13} +z^7 a^{-15} +8 z^6 a^{-6} +23 z^6 a^{-8} +21 z^6 a^{-10} -8 z^6 a^{-12} -14 z^6 a^{-14} +3 z^5 a^{-5} +5 z^5 a^{-7} +22 z^5 a^{-9} +41 z^5 a^{-11} +19 z^5 a^{-13} -2 z^5 a^{-15} +z^4 a^{-4} -13 z^4 a^{-6} -27 z^4 a^{-8} -11 z^4 a^{-10} +11 z^4 a^{-12} +9 z^4 a^{-14} -2 z^3 a^{-5} -6 z^3 a^{-7} -10 z^3 a^{-9} -9 z^3 a^{-11} -2 z^3 a^{-13} +z^3 a^{-15} -z^2 a^{-4} +13 z^2 a^{-6} +19 z^2 a^{-8} +5 z^2 a^{-10} +4 z a^{-7} +2 z a^{-9} -3 z a^{-11} -z a^{-13} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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