K13n1865
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Polynomial invariants
| Jones polynomial | Data:K13n1865/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-13 t+19-13 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1865/Conway Polynomial |
| Determinant | 57 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +2 z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +4 z^2 a^{-2} -6 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2+a^2+2 a^{-2} -2 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} -4 z^9 a^{-3} -z^9 a^{-5} +3 z^9 a^{-7} -4 z^8 a^{-2} -20 z^8 a^{-4} -15 z^8 a^{-6} +z^8 a^{-8} +3 z^7 a^{-1} +8 z^7 a^{-3} -11 z^7 a^{-5} -16 z^7 a^{-7} +9 z^6 a^{-2} +35 z^6 a^{-4} +22 z^6 a^{-6} -5 z^6 a^{-8} +z^6-10 z^5 a^{-1} -16 z^5 a^{-3} +19 z^5 a^{-5} +25 z^5 a^{-7} -17 z^4 a^{-2} -34 z^4 a^{-4} -12 z^4 a^{-6} +7 z^4 a^{-8} -2 z^4+2 a z^3+10 z^3 a^{-1} +11 z^3 a^{-3} -8 z^3 a^{-5} -11 z^3 a^{-7} +a^2 z^2+11 z^2 a^{-2} +14 z^2 a^{-4} +4 z^2 a^{-6} -2 z^2 a^{-8} +4 z^2-a z-2 z a^{-1} -2 z a^{-3} +z a^{-7} -a^2-2 a^{-2} -2 a^{-4} - a^{-6} -1 }[/math] |
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