K13n2405
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Polynomial invariants
| Jones polynomial | Data:K13n2405/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-t^4-2 t^3+10 t^2-19 t+23-19 t^{-1} +10 t^{-2} -2 t^{-3} - t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n2405/Conway Polynomial |
| Determinant | 81 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-10} +10 z^8 a^{-10} -z^8 a^{-12} +36 z^6 a^{-10} -11 z^6 a^{-12} +59 z^4 a^{-10} -35 z^4 a^{-12} +4 z^4 a^{-14} +43 z^2 a^{-10} -41 z^2 a^{-12} +11 z^2 a^{-14} -z^2 a^{-16} +10 a^{-10} -14 a^{-12} +6 a^{-14} - a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^{10} a^{-14} +z^{10} a^{-16} +z^9 a^{-11} +2 z^9 a^{-13} +5 z^9 a^{-15} +4 z^9 a^{-17} -10 z^8 a^{-10} -12 z^8 a^{-12} -4 z^8 a^{-14} +5 z^8 a^{-16} +7 z^8 a^{-18} -11 z^7 a^{-11} -18 z^7 a^{-13} -19 z^7 a^{-15} -5 z^7 a^{-17} +7 z^7 a^{-19} +36 z^6 a^{-10} +46 z^6 a^{-12} +12 z^6 a^{-14} -16 z^6 a^{-16} -14 z^6 a^{-18} +4 z^6 a^{-20} +35 z^5 a^{-11} +60 z^5 a^{-13} +43 z^5 a^{-15} +4 z^5 a^{-17} -13 z^5 a^{-19} +z^5 a^{-21} -59 z^4 a^{-10} -74 z^4 a^{-12} -12 z^4 a^{-14} +19 z^4 a^{-16} +10 z^4 a^{-18} -6 z^4 a^{-20} -41 z^3 a^{-11} -70 z^3 a^{-13} -41 z^3 a^{-15} -7 z^3 a^{-17} +4 z^3 a^{-19} -z^3 a^{-21} +43 z^2 a^{-10} +53 z^2 a^{-12} +11 z^2 a^{-14} -3 z^2 a^{-16} -4 z^2 a^{-18} +14 z a^{-11} +22 z a^{-13} +14 z a^{-15} +6 z a^{-17} -10 a^{-10} -14 a^{-12} -6 a^{-14} - a^{-16} }[/math] |
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