K13n242
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Polynomial invariants
| Jones polynomial | Data:K13n242/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+15 t^2-27 t+33-27 t^{-1} +15 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n242/Conway Polynomial |
| Determinant | 129 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +6 z^6 a^{-6} -2 z^6 a^{-8} -3 z^4 a^{-4} +16 z^4 a^{-6} -9 z^4 a^{-8} +z^4 a^{-10} -3 z^2 a^{-4} +20 z^2 a^{-6} -16 z^2 a^{-8} +3 z^2 a^{-10} - a^{-4} +9 a^{-6} -10 a^{-8} +3 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +7 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^9 a^{-5} +5 z^9 a^{-7} +9 z^9 a^{-9} +6 z^9 a^{-11} -12 z^8 a^{-6} -23 z^8 a^{-8} -6 z^8 a^{-10} +5 z^8 a^{-12} -7 z^7 a^{-5} -29 z^7 a^{-7} -41 z^7 a^{-9} -16 z^7 a^{-11} +3 z^7 a^{-13} +4 z^6 a^{-4} +32 z^6 a^{-6} +41 z^6 a^{-8} -12 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} +20 z^5 a^{-5} +70 z^5 a^{-7} +78 z^5 a^{-9} +19 z^5 a^{-11} -8 z^5 a^{-13} -9 z^4 a^{-4} -39 z^4 a^{-6} -36 z^4 a^{-8} +4 z^4 a^{-10} +7 z^4 a^{-12} -3 z^4 a^{-14} -3 z^3 a^{-3} -25 z^3 a^{-5} -68 z^3 a^{-7} -68 z^3 a^{-9} -17 z^3 a^{-11} +5 z^3 a^{-13} +5 z^2 a^{-4} +25 z^2 a^{-6} +24 z^2 a^{-8} -2 z^2 a^{-12} +2 z^2 a^{-14} +2 z a^{-3} +9 z a^{-5} +24 z a^{-7} +24 z a^{-9} +6 z a^{-11} -z a^{-13} - a^{-4} -9 a^{-6} -10 a^{-8} -3 a^{-10} }[/math] |
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