K13n2102
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Polynomial invariants
| Jones polynomial | Data:K13n2102/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-5 t^2+4 t-3+4 t^{-1} -5 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2102/Conway Polynomial |
| Determinant | 31 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -7 z^6 a^{-8} +z^6 a^{-10} +11 z^4 a^{-6} -18 z^4 a^{-8} +6 z^4 a^{-10} +17 z^2 a^{-6} -22 z^2 a^{-8} +10 z^2 a^{-10} -z^2 a^{-12} +7 a^{-6} -10 a^{-8} +5 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +2 z^9 a^{-9} +z^9 a^{-11} -7 z^8 a^{-8} -7 z^8 a^{-10} -5 z^7 a^{-7} -11 z^7 a^{-9} -6 z^7 a^{-11} +3 z^6 a^{-6} +24 z^6 a^{-8} +22 z^6 a^{-10} +z^6 a^{-12} +10 z^5 a^{-7} +26 z^5 a^{-9} +16 z^5 a^{-11} -15 z^4 a^{-6} -45 z^4 a^{-8} -31 z^4 a^{-10} -z^4 a^{-12} -13 z^3 a^{-7} -31 z^3 a^{-9} -16 z^3 a^{-11} +2 z^3 a^{-13} +21 z^2 a^{-6} +36 z^2 a^{-8} +17 z^2 a^{-10} +3 z^2 a^{-12} +z^2 a^{-14} +7 z a^{-7} +11 z a^{-9} +5 z a^{-11} +z a^{-13} -7 a^{-6} -10 a^{-8} -5 a^{-10} - a^{-12} }[/math] |
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