K13n2979
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Polynomial invariants
| Jones polynomial | Data:K13n2979/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2+6 t-9+6 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | Data:K13n2979/Conway Polynomial |
| Determinant | 23 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6 a^{-4} -5 z^4 a^{-2} +5 z^4 a^{-4} -2 z^4 a^{-6} +z^4-6 z^2 a^{-2} +9 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} +2 z^2-2 a^{-2} +4 a^{-4} -2 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10} a^{-6} +3 z^9 a^{-1} -2 z^9 a^{-3} -3 z^9 a^{-5} +2 z^9 a^{-7} -17 z^8 a^{-2} -25 z^8 a^{-4} -2 z^8 a^{-6} +5 z^8 a^{-8} +z^8-17 z^7 a^{-1} -21 z^7 a^{-3} -12 z^7 a^{-5} -4 z^7 a^{-7} +4 z^7 a^{-9} +18 z^6 a^{-2} +31 z^6 a^{-4} -10 z^6 a^{-6} -17 z^6 a^{-8} +z^6 a^{-10} -5 z^6+24 z^5 a^{-1} +53 z^5 a^{-3} +35 z^5 a^{-5} -6 z^5 a^{-7} -12 z^5 a^{-9} +8 z^4 a^{-2} +10 z^4 a^{-4} +20 z^4 a^{-6} +10 z^4 a^{-8} -2 z^4 a^{-10} +6 z^4-12 z^3 a^{-1} -31 z^3 a^{-3} -22 z^3 a^{-5} +2 z^3 a^{-7} +5 z^3 a^{-9} -12 z^2 a^{-2} -18 z^2 a^{-4} -12 z^2 a^{-6} -2 z^2 a^{-8} -4 z^2+2 z a^{-1} +5 z a^{-3} +3 z a^{-5} +z a^{-7} +z a^{-9} +2 a^{-2} +4 a^{-4} +2 a^{-6} +1 }[/math] |
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