K13n1398
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Polynomial invariants
| Jones polynomial | Data:K13n1398/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^2-20 t+31-20 t^{-1} +5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1398/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^4+z^4 a^2+2 z^4+z^2+2 z^4 a^{-2} +3 z^2 a^{-2} +3 a^{-2} -3 z^2 a^{-4} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +z^{10} a^{-4} +3 z^{10}+4 a z^9-z^9 a^{-1} -5 z^9 a^{-3} +4 a^2 z^8-21 z^8 a^{-2} -5 z^8 a^{-4} -12 z^8+4 a^3 z^7-13 a z^7-6 z^7 a^{-1} +14 z^7 a^{-3} +3 z^7 a^{-5} +3 a^4 z^6-9 a^2 z^6+48 z^6 a^{-2} +15 z^6 a^{-4} +z^6 a^{-6} +22 z^6+a^5 z^5-9 a^3 z^5+18 a z^5+19 z^5 a^{-1} -20 z^5 a^{-3} -11 z^5 a^{-5} -7 a^4 z^4+6 a^2 z^4-49 z^4 a^{-2} -27 z^4 a^{-4} -4 z^4 a^{-6} -13 z^4-2 a^5 z^3+4 a^3 z^3-6 a z^3-12 z^3 a^{-1} +9 z^3 a^{-3} +9 z^3 a^{-5} +2 a^4 z^2+19 z^2 a^{-2} +17 z^2 a^{-4} +4 z^2 a^{-6} +4 z^2+a z+z a^{-1} -z a^{-3} -z a^{-5} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
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