K13n2492
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Polynomial invariants
| Jones polynomial | Data:K13n2492/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-4 t^2+t+1+ t^{-1} -4 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2492/Conway Polynomial |
| Determinant | 19 |
| 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} -17 z^4 a^{-8} +6 z^4 a^{-10} +16 z^2 a^{-6} -19 z^2 a^{-8} +9 z^2 a^{-10} -z^2 a^{-12} +6 a^{-6} -8 a^{-8} +4 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} -12 z^7 a^{-9} -7 z^7 a^{-11} +3 z^6 a^{-6} +21 z^6 a^{-8} +18 z^6 a^{-10} +8 z^5 a^{-7} +24 z^5 a^{-9} +16 z^5 a^{-11} -15 z^4 a^{-6} -37 z^4 a^{-8} -23 z^4 a^{-10} -z^4 a^{-12} -9 z^3 a^{-7} -22 z^3 a^{-9} -14 z^3 a^{-11} -z^3 a^{-13} +19 z^2 a^{-6} +30 z^2 a^{-8} +14 z^2 a^{-10} +3 z^2 a^{-12} +5 z a^{-7} +7 z a^{-9} +4 z a^{-11} +2 z a^{-13} -6 a^{-6} -8 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
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